{"text":"Question: Four letters picked without replacement from {z: 10, t: 10}. Give prob of sequence tztz.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -30*f. Let o = 511 - 511. Let d(j) be the second derivative of 0*j**3 + 1\/12*j**4 - 15*j + 0 + o*j**2. Calculate k(d(v)).\nAnswer: -30*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -1482 divided by 114?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z = 3*p - 12, 3*p = -4*z + 4 + 1. Let u = p - -1. Solve -u = -3*c + 2*c - 2*k, 0 = 5*k - 10 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 2, v: 17}. Give prob of picking 2 v.\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -3605, -7197, -10789, -14381, -17973?\n\"Answer: -3592*j - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.17 + 0. Let j = -297 + 297.307. Let b = j - 0.407. Which is smaller: b or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5e049 (base 16) to base 13.\nAnswer: -10638b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 317 minutes after 1:02 PM?\nAnswer: 6:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v - 5*i + 102 = -38, 38 = -v + 3*i. Suppose 58*g = 54*g + 116. Let p = v + g. Calculate the remainder when 28 is divided by p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 31689 at least 31947?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (51 + z**5 - 3*z**4 - 51)*(1 - 2 + 4)*(-2 - 2 + 0).\nAnswer: -12*z**5 + 36*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-515)\/(-25) - (-4)\/10. Suppose -3*d + 2 - 11 = 0, -3*d = 3*b - 9. Let s be 2\/4*b\/t. What is the second biggest value in 3\/7, s, 3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0039239 to 4 dps.\nAnswer: -0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -534*q + 522*q - 12 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 114*o = -3*x + 117*o + 15, -3*o - 15 = 0. Is x != -8\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 23 and 83099.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -54356166 (base 7) in base 10?\nAnswer: -4652892","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -73\/182960 and 23\/2?\nAnswer: 182960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -986 + 989. Suppose 0 = 4*l + 20*y - 16*y - 3552, 4*y = f*l - 2636. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 657707 is divided by 241?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.4 - 17.4. Let r = z - -12. Let n = 6.7 + r. What is n rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1.2 - 0.26. Let z = -0.14 + 0.2. Let o = z + q. Sort o, 4, -4.\nAnswer: -4, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5825993 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2822327 = -54*z - 604007. Does 26 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1165290 divided by -18795\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 5\/2  (b) 3  (c) 2\/5  (d) 14\/9  (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oooj when four letters picked without replacement from {j: 8, o: 3}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(80) - (-2 + sqrt(80) + -5)) + sqrt(80) + sqrt(80) + -2 + sqrt(80) + 3)**2*-5.\nAnswer: -3920 - 960*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -485 - -494. Suppose 19 = 13*n - 150. Is y > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 1394*c**3 + 50 wrt c?\nAnswer: 4182*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -3*w**2. Let x(o) = -767*o. Give x(f(n)).\nAnswer: 2301*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -59 + 57. Let m(g) = -g**3 - g**2 - 2*g + 1. Determine m(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*c**3\/5 + 52*c**2\/5 - 54*c\/5.\nAnswer: 2*c*(c - 1)*(c + 27)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0 + -7. Let b be 3 + t - (-4)\/1. Suppose 40 = 4*o - 2*y, 0 = -2*y - b*y - 8. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -5 from 2983200.\nAnswer: 2983205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = 305*o - 669. Give p(2).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-325)\/(-3) + -2 - (-42)\/21 - 20\/60?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 43\/5 and (-362)\/(-60) - -1 - (242 - 238).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 + (-3 + -8 - (8 + -13) - -27)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 35 = 5*n, 5*n - 9*n = -5*m + 1. Sort 4, m, 3\/17, -4, -9 in increasing order.\nAnswer: -9, -4, 3\/17, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s = -3*s - 2*h - 12, 4 = -s - 4*h. Calculate the remainder when (-438)\/(-12) + 2\/4 is divided by s\/(-28) + (-423)\/(-21).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2114 * -6719\nAnswer: -14203966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -q + u - 21, 149*q - 199*q + 3*u - 22 = 229 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*a = 16*a. Which is greater: -2\/1255 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -5027 - -5058.43. Let r = -0.43 + s. Let v = r + -28. Which is the smallest value?  (a) 0.07  (b) -2\/9  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1375010 to the power of 1\/3, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 89 a factor of 712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-29*n**2 + 87 - 87)*((17 + 6*n - 17)*(2*n - n - 3 + 4) + (3 - 1 + 0)*(4*n**2 - 2*n**2 - n**2)).\nAnswer: -232*n**4 - 174*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 5904530 a multiple of 109?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = x**2 - x - 4. Let l be t(0). Let p(m) be the second derivative of -5\/2*m**2 - 1\/6*m**4 + 0 - 7\/6*m**3 + 3*m. Give p(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, -1\/6, -2\/7, 49, 5 in increasing order.\nAnswer: -6, -2\/7, -1\/6, 5, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 4037 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + 7 + -1 + -16.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1196, -1193, -1180, -1151, -1100, -1021, -908?\nAnswer: -755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 98*k**3 - 24*k**2 - 2496 wrt k.\nAnswer: 294*k**2 - 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -14.47  (b) -1698  (c) 0.05  (d) -4  (e) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) be the second derivative of 13*b**3\/6 - 2*b**2 + 2*b - 3729. Let m(q) = -13*q + 3. Give 6*i(y) + 7*m(y).\nAnswer: -13*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.39043 less than -331903?\nAnswer: -331904.39043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -n**2. Let v(r) = -7*r**2 - 10*r. Give v(t(l)).\nAnswer: -7*l**4 + 10*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 830 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: Let f(k) = -124*k - 3 + 83*k - 142*k. Let r(v) = -v. Let y(i) = -f(i) - 2*r(i). Is y(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.7677016 years to decades.\nAnswer: 0.07677016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/4 of a meter in millimeters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = 150*d - 4. Let m be t(-3). Let z = m - -4082\/9. Is z > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/9*3)\/(35\/(-21)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 198986 and 1554.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1.54 + -162.46. Let c = 2808847242.0000077 + -2808847406. Let m = g - c. Round m to six decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10*4.6.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 7 + -1. Calculate the remainder when (8 - i)\/((-4)\/(-102)) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = 3*a + 1. Let v(s) = 56*s + 16. Let t(b) = 16*o(b) - v(b). Let h = 7 + -5. Let g(y) = -3*y + 6*y - h*y. Determine g(t(n)).\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 - 25 = -4*k. Suppose 2*q = k*q - 100. Suppose 62 = 98*l - 67*l. Calculate the lowest common multiple of q and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 171 minutes before 6:35 PM?\nAnswer: 3:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 69228366 and 346141830?\nAnswer: 346141830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 11*p**2 + 5*p + 15. Let f(q) = -51*q**2 - 2 + 46*q**2 - 2*q - 5. Let y(u) = -9*f(u) - 4*g(u). Is 11 a factor of y(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -o - 1. Let a(n) = -3*n - 3. Let s(u) = a(u) - 2*v(u). What is the remainder when s(-9) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -l**3 - 7*l**2 - 6*l + 4. Let t be f(-6). Suppose 5*r - 1 = t. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 385 minutes after 1:29 AM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = 3*q + 1. Let t be 43\/(-9) - 2\/9. Let b be z(t). Let l be ((-96)\/(-14))\/((-2)\/b). What is the greatest common factor of l and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s, 2 l, and 1 o when four letters picked without replacement from sguzzuoozslgsloz.\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 5*k - 3*z - 15, k + 2*z + 3 = 0. What is the nearest to k in -4, 1\/9, -2?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3 - 5 - 32\/(-4))\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 478080 is divided by 25162?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) be the second derivative of 5*z**3\/6 - 3*z**2\/2 - 2*z. Let s(a) = -a**3 + a**2 + a. Calculate the remainder when s(-3) is divided by o(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-51)\/6*(-1096)\/4658. Factor -2\/5 - 2\/5*r**3 + 2\/5*r + 2\/5*r**x.\nAnswer: -2*(r - 1)**2*(r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -833\/4  (b) 0.3  (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 9\/(-3) - (-4 - -5). Put q, 5, 3 in decreasing order.\nAnswer: 5, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qqtttqt. What is prob of sequence qq?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.1307 - -12.1307. Which is the closest to 5?  (a) 11  (b) 0  (c) r  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 equal to -113\/841?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14637847.\nAnswer: 7, 19, 110059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 136*t - 283 + 3851 + 5000 for t.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d = -13*d + 1575. Let x(j) = -47*j + d*j - 41*j. Let b(h) = 2*h. Determine x(b(l)).\nAnswer: 34*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + k - 211 = -8*v, -5*k = 2*v - 119. Suppose -74*q = -v*q - 6. Suppose -4*f = -h + 1481, -2*f - 3*f + 4426 = q*h. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ssss when four letters picked without replacement from {a: 5, s: 8}.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 588 is divided by 27.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide -886 by -4320.\nAnswer: 443\/2160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 1 z when two letters picked without replacement from {z: 1, x: 1, k: 2, s: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 59076622 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -20 + -22212002?\nAnswer: -22212022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) be the second derivative of z**7\/1260 - 7*z**6\/120 + z**5\/3 - 143*z**4\/12 - 109*z. Let y(v) be the third derivative of k(v). Let y(f) = 0. Calculate f.\nAnswer: 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -x**3 + 9*x + 3. Is t(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-10 - -75)*2\/(-5). Let d be 26\/(-169) + (-82)\/t. Let n be (57 + d)*(-4400)\/(-3). Round n to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*m - 997 + 997.\nAnswer: 13*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (1758\/78)\/((-4)\/(-52)). Solve 10 = -b*w + 288*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -61*i + 15*i - 66*i - 35*i + 350*i.\nAnswer: 203*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 29 a factor of 509733?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) be the third derivative of -2\/3*c**3 + 0*c + 1\/168*c**8 - 2\/35*c**7 + 6*c**2 + 7\/30*c**6 + 0 + 3\/4*c**4 - 8\/15*c**5. Solve m(z) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -t**2 - 5*t - 6. Let r(j) = j + 1. Let g(n) = b(n) - 5*r(n). Let l be g(-9). What is the units digit of (15\/l)\/(4\/(-8))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -2 - (-5 - -1) - 3. Let f be (227*-4)\/(5\/i). Let w = f + -181. Sort -3, -3\/8, w.\nAnswer: -3, -3\/8, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 1189.146 weeks?\nAnswer: 719195500800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31*c + 8 = -30*c. Solve -c*t + 23*t + 75 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2084*j**2*p + 257*j**2 + 2*j*p + 73227*j - 109619*p - 4 wrt p.\nAnswer: 2084*j**2 + 2*j - 109619","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -49, -18, -1\/5, 18, 2\/15 in increasing order.\nAnswer: -49, -18, -1\/5, 2\/15, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gcwukux. Give prob of sequence xgw.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 38 - 37.9999975. Round z to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31*h + 29*h = -6. Suppose 121 = -h*l + 1534. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 0  (b) 27  (c) 0.1  (d) -6  (e) 16  (f) -4\/9  (g) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -780*x + 368*x - 38332 = -1781*x for x.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -11*p + 5. Suppose -5*g + 2*h = -28, 1 - 6 = -5*h. Let x(j) = j - 1. Determine g*x(y) + t(y).\nAnswer: -5*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8469074.\nAnswer: 2, 4234537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r and 2 x when three letters picked without replacement from {x: 9, r: 3}?\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 70.8 + -70.9. Let l = g + 0. Suppose 5*c = 4*c + 4. What is the closest to 1 in l, c, -0.3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 16 and 9798.\nAnswer: 78384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 432 and 20706768.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 740*u - 1225*u - 366*u - 1417*u to t + i*u and give i.\nAnswer: -2268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-2)\/(-1) + 1)\/1. Is 2 a factor of ((-15)\/(-6))\/(k\/12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2  (b) -5  (c) 1.7169\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = 2*a. Suppose w + 3*w = 12. Suppose y + 2*x = 4*x - 9, w*x = -4*y - 3. What is j(y)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + (-2 - -1) - (-32 - -25)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 49 = -3*m + 13*d, -m + d = 9 - 6 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 34017 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -11?  (a) -19\/14  (b) -0.21  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -s**2 + 3*s + 2. Let l = 11 + -7. Let v be i(l). Is v\/7 - (-1166)\/14 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 8 + -4. Let c be -23*2*m\/(-8). Find the second derivative of -t + 0*t**4 - 23*t**2 + c*t**2 - 3*t**4 wrt t.\nAnswer: -36*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m = 3 + 2. Find the second derivative of -3*u**3 + 6*u**3 + m*u - 2*u + u wrt u.\nAnswer: 18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 158.8 rounded to the nearest ten?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 10\/3  (b) 0.17  (c) -2  (d) -3  (e) -51  (f) -1\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 28 and 101696.\nAnswer: 101696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 8150904097 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -484*b = -478*b - 12 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) be the third derivative of -43*q**6\/60 + 85*q**3\/6 + 143*q**2. Differentiate m(n) wrt n.\nAnswer: -258*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -4642, 1063.\nAnswer: -4642, -4, 1063","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -98, -103, -28, 121, 338?\n\"Answer: -v**3 + 46*v**2 - 136*v - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Do 308764758 and 308764758 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*y - 5*c + 15, -12*c = -10*c - 6 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8328398 is divided by 1041015?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by 16999?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 9945.776 + -9970. Round h to the nearest integer.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -168*w + 165*w - 32 = -4*s, -5*w = -3*s + 35 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5*f - 7*f**3 + 5*f)*((4 - 2 - 5)*(4 - 2 + 1)*(3*f + 3*f - 4*f) + 4*f + 4*f - 4*f) as u + s*f**4 + m*f**3 + t*f**2 + k*f and give s.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*w + 2*q + 22, 79*w + 3*q = 84*w - 29 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/33, -8, -2\/79 in descending order.\nAnswer: 1\/33, -2\/79, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (-92 + -1 + -3)*(-63 + (-5000)\/(-80))?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -11*i. Let o(j) = 67*j**2. Give o(q(w)).\nAnswer: 8107*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = 5*c - 43. Let f be d(9). Solve 0 = 5*u + j + 10, 2*j + j - 4 = f*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 968 and 2497.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 5d5 - 3?\nAnswer: 5d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w - 2*j = 376, 4*j = -5*w - 0*j - 630. Let n = -43 - w. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*m**3 + 3*m**3 - 5*m**3)*(352 - 66 - 138).\nAnswer: 296*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -n - 2 + 0 + 0*n + 4 + 2*n + 5.\nAnswer: n + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 321832 divided by -821\nAnswer: -392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -y - 264. Let w be z(0). Calculate the least common multiple of 18 and 10\/45 - w\/27.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 35 and 112?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -d**2 - d + 3. Let s be ((-4)\/(-3))\/((-17)\/51). Calculate l(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35 - 233 = -6*s. What are the prime factors of s?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28*n = -58*n - 413 - 189 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -35 + -26 + (9 - -10) + 90.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1*28\/(-78)*(-102)\/119?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*b**4*u - 56*b**4 - 52693*b**3*u - b**2*u - 952056*b**2 + 2*b*u wrt b?\nAnswer: 48*b*u - 1344*b - 316158*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-50*(-70)\/9800)\/((-5)\/12)*77\/(-3)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 387898?\nAnswer: 2, 7, 103, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 79 + -77. Let r be -1 + (-3)\/(2 + -1 - 2). Let h be (-1)\/(8\/(-20))*r. What is the highest common factor of h and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.188 + 0.172. Let d = -0.64 - v. What is the third biggest value in d, 1, 1.3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 188 and 52924.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v**2 - 101490*v - 322314685 = 0. Calculate v.\nAnswer: -16357, -3941","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-87)\/(-12) + -5)\/(3\/16). Suppose -13*u + r*u = -2. Solve -2*o + 12 = u*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24504227 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 26092 + -13784. What is the greatest common factor of 181 and y?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) be the third derivative of s**5\/60 - s**4\/4 - 2*s**2. List the prime factors of g(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i**4\/2 + 81*i**3\/8 - 45*i**2\/4 - 93*i\/8 + 45\/4 = 0. What is i?\nAnswer: -1, 3\/4, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 25 + -7. Suppose i = -i + z. Is 3 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = h + 3*v + 51, -2*v = -5*h - 63 - 107. Suppose d + 123 = -4*b + 2*d, 2*d = 5*b + 153. Let i = b - h. Put -4, 6, i in increasing order.\nAnswer: -4, i, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 742  (b) -102  (c) 3\/4  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1, -0.1, -46, -767, 3\/16, -2 in ascending order.\nAnswer: -767, -46, -2, -0.1, 0.1, 3\/16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 1189 divide 9330083?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f - 5*j - 5 = 0, 22 - 6 = -4*j. Let g = 0 - -2. Suppose -3*x + 25 = f*v, -x = -v - g*x + 7. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -110011 - 101?\nAnswer: -111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -36*j**2 + 1 + 3 - 4 + 1 to h*j**2 + t + n*j and give h.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -205, 1865, 5315, 10145, 16355, 23945, 32915?\n\"Answer: 690*m**2 - 895","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.11 - 0.91. Let n = 0.9 + x. Let z = n + 0.9. Sort -0.1, z, -1\/3 in descending order.\nAnswer: z, -0.1, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -925082\/3, 0.1, 2, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -452847016*j + 136106225 wrt j.\nAnswer: -452847016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 1508*k. Let g(a) = a**2 + 14. Give s(g(v)).\nAnswer: 1508*v**2 + 21112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 76 + -48. Solve -3*w = -2*b - 20, b - 5*w = -b - f for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (10\/4)\/(1\/2). Suppose -4*n = -o - 2*n + 22, 0 = -s*o - 4*n + 82. What is the greatest common divisor of o and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 21216 - 9436. Is 10 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -180 + 31*z**2 - 2116*z + 2096*z + 14*z**2 + 5*z**3.\nAnswer: 5*(z - 2)*(z + 2)*(z + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 - 12 = -2*k. Suppose -2*i + 10 + 19 = -5*d, k*d + 95 = 5*i. Calculate the remainder when 65 is divided by i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:24 AM and 8:01 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = 2*m**2 - 4*m + 4*m. Let z(g) be the third derivative of 5*g**4\/24 - 2*g**2. Calculate r(z(l)).\nAnswer: 50*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 15673 and 15554333.\nAnswer: 2239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 25\/6951 and -89\/364?\nAnswer: 361452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -692102 or -3\/74?\nAnswer: -692102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (-56)\/63*(-24)\/(-176)*(-42)\/(-84)?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 34, 72, 110, 148?\n\"Answer: 38*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 13 + -10. Let a(v) be the second derivative of 1\/12*v**4 + 1\/3*v**3 + w*v + 1\/2*v**2 + 0. Give a(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 - (-85378)\/10 - (-30)\/25 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 33 and 13629?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -5 + 5 + 2 + -1. Let m(j) = -2*j + 0 - q + j. Suppose 3*z + 8 = 4*p, z - 2*p = -3*p + 2. Give m(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) be the first derivative of 3*x**2\/2 + 42. Let c(s) = 6*s. Give c(b(i)).\nAnswer: 18*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1125976728 to the nearest integer?\nAnswer: 1040","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 38*c + 584 = 104*c - 76 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 294 plus -9?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2097 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -29915, -120681, -271973, -483791, -756135, -1089005?\n\"Answer: -30263*g**2 + 23*g + 325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 13, g: 5}. What is prob of sequence kg?\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) be the first derivative of 2*o**3\/3 - 4*o**2 + 4*o - 5. Let r(k) be the first derivative of a(k). Differentiate r(v) with respect to v.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 127135 is divided by 274?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4556*s**2 - 2285*s**2 - 2270*s**2.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 3*t = 48, -5*j + 108 = -3*t - 180. Does 12 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 240.32541 + 3174.\nAnswer: 3414.32541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -8*c + 0*c + 2*c. Suppose 2*z = 2*j + 2734, 2*j = -43*z + 47*z - 2724. Let n = j - -1370. Give m(n).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 360928474?\nAnswer: 2, 31, 661, 8807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (1\/(-1 + 102\/108))\/(-1). Calculate the greatest common factor of 90 and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is a in 4\/3*a + 142\/3*a**3 + 0 - 146\/3*a**2 = 0?\nAnswer: 0, 2\/71, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*g + 16, 0 = 4*n - 5*g - 232 + 804. Let y be n\/(-4) + (-16 - -19). Suppose 4*k - 960 - 320 = 0. What is the greatest common divisor of k and y?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 7, -1, 4.05, 2, 1\/6, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-18854)\/(-4285)*6\/18*15\/(-1).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -6.6 + 0.6. Let c = 10 + m. Let p = -5 + 2. Put p, -3\/4, c in increasing order.\nAnswer: p, -3\/4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 25172 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (7\/(-2))\/((-1)\/(18\/9))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*k + k + 3. Suppose 4*i - 4*h + 13 = 45, k*h - 12 = 0. Let c(o) = 2*o + 1. What is the remainder when i is divided by c(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eawe when four letters picked without replacement from aanwew.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 75*h**2 - 3*h - 2. Suppose 10*t - 11*t = 1. Is 19 a factor of x(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 7*k - 2. Let s be v(2). Let z be (-3 - 0)*(-8)\/s. Suppose z*t = t. Which is the second biggest value?  (a) 0.2  (b) 2  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 126\/(-21) + (2 - -6). Suppose 468 = p*q - g, 3*q - 249 = 5*g + 439. Is q bigger than 236?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((g\/(g**(-12)*g))\/g*g**3)\/(g**12\/((g\/g**(-10))\/g)))**(7\/3) assuming g is positive.\nAnswer: g**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -137\/9 + 283\/18. Which is smaller: q or 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 1.09461529577 and 0.\nAnswer: 1.09461529577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (y - 2 + 2 - 2 - 2*y + 2 + (-3*y + 3*y + y)*(1 - 2 + 2) - 3 - y + 3 - 31 + 31 - y)*(0 - 1 + 0)*(-y - 3*y + y).\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 95758*r - 5*r**2 - 6*r**2 - 13795*r.\nAnswer: -11*r**2 + 81963*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) be the third derivative of p**4 - p**3\/3 + 5*p**2. What is the tens digit of t(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 102\/(465426\/(-437931)) - -96?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 213 greater than or equal to 277?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-1)\/2)\/((-7)\/4). Let g = 5.4 + -0.4. Let o = 73 + -507\/7. Sort g, z, o in decreasing order.\nAnswer: g, o, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 0.9908616 millimeters?\nAnswer: 990861.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 542 + (-17 - -20) - (7 - 1). Solve 0 = -6*b + y - 515 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 3\/(-6)*(-236 - 3). Suppose -2*s + 2*i - 246 = 0, -3*i + 492 = -4*s - 5*i. Let r = s + k. Which is the smallest value?  (a) -0.3  (b) -4\/7  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6557459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -493 divided by -239.\nAnswer: 493\/239","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 {a: 2, y: 3, t: 1, w: 6, j: 4, p: 4}.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10908.\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 43489 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 552 and 279355884.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*v - 6*v = 0. What is the closest to -4\/9 in -3, 1\/2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:55 AM and 4:24 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 9*p**3 - 5*p**2 + 17. Let t(a) = -5*a**3 + 3*a**2 - 9. What is 3*b(x) + 5*t(x)?\nAnswer: 2*x**3 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -1864, 27, -8, 3, -1 in descending order.\nAnswer: 27, 3, -1, -5, -8, -1864","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -668647713*d**2 - 209041496*d?\nAnswer: -1337295426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 13*k + 8*k**2 - 21*k + 80 + 3*k**2 + 9*k**2 - 741 wrt k?\nAnswer: 40*k - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7*-1 + (-471)\/(-3140)*(-708)\/(-9)?\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -171818640 divided by -18680?\nAnswer: 9198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 15754\/(-4) - (-6)\/(-12). Let p = o + 2361. Is (p\/30)\/(2\/(-10)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -c**2 - 46*c + 1071. Give g(17).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*j + 5*j - 12*j - 1 + 2*j**3 as a*j**3 + u*j + m*j**2 + h and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p = 5*d + 21, 2*p + 13 = 3*p + 3*d. Suppose -4*m = -2*m + p. Let j be ((0 + m)\/(-1))\/2. Solve 5*s - 13 = 2, q = j*s - 16 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - v + 557 = 0, -2*g + 1138 = 10*v - 14*v. Suppose -c + g = -4*z, 0 = 2*c - 4*c - 3*z + 1122. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -341*i - 913 + 913 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 44 and -14291?\nAnswer: -628804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -9, -20, -51, 325.\nAnswer: -51, -20, -9, 5, 325","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 1502385 <= 1502386?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t - 2 = 2*c, 0*c + 3*c - t = 9. Let q(u) be the first derivative of -c + 0*u**2 + 1\/4*u**4 + 3*u + 0*u**3. Differentiate q(f) wrt f.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -w**3 + 91127*w**2 - 1548886*w + 1457760.\nAnswer: -(w - 91110)*(w - 16)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.986469nm in centimeters?\nAnswer: 0.0000008986469","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -36*q - 169 - 11 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 44*w + 2. Let t be a(1). Let q = 92 - t. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 14470*m**3 + 258*m**2 + 22 wrt m.\nAnswer: 86820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(567)*3 + -3.\nAnswer: -3 + 27*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-56)\/16)\/((-1)\/(-14)). Let i = -2 - j. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 384562001 and 943.\nAnswer: 943","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -375 or -66506\/177?\nAnswer: -66506\/177","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -z**3 - 22*z**2 + 23*z + 2. Let j be p(-23). What is the second derivative of j*u**3 + 8*u**4 + 112*u + u**3 - 3*u**3 + 74*u**4 wrt u?\nAnswer: 984*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 18 and 66978?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -338487919*u + 298711880?\nAnswer: -338487919","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -43\/20 and -20\/29?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 612751*d**3*y**2 + 65741*d**3 + 6*d**2*y**5 - 3*d*y + y wrt y?\nAnswer: 1225502*d**3 + 120*d**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 47 + (-43 - -46 - (8 + -1) - (-1 + 3)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 4, l: 1, s: 2, n: 7}. Give prob of sequence nz.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(-2\/9))**(-36\/7))**(-25) assuming g is positive.\nAnswer: g**(-200\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ggghghaggghhhghaa. Give prob of picking 3 g and 1 a.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 811688615 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2520, 2522, 2524?\nAnswer: 2526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1812 + 65207\/36. Calculate the common denominator of 1\/400 and j.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 4*z - 2*o = -12, 5*z = 4*o + 42. Suppose -3*i = 45*y - 48*y - 18, -4*y = -3*i + 18. Calculate the highest common divisor of z and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = 5*h + 3. Let w = 19 - 23. Let f be 9\/6*(w + 2). Give o(f).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 210*g = 2*r + 209*g - 49, -5*r - 3*g = -128. Solve r = -14*k - 59 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((5 - 277)\/(-17) + -68)\/(-2)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -8*q**3 - 22*q**2 - 14*q - 27. Let i(p) = -11*p**3 - 33*p**2 - 21*p - 41. Let u(x) = 5*i(x) - 7*m(x). Let s = -5 + 17. Is u(s) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-714 - -883) + (-17 - 32)?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*c - 3*m - 2*m - 14, 3*m = -2*c - 6. Solve -2 - c = -5*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 185 by 8.\nAnswer: 185\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -404*w - 2124 = -440*w for w.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = c**3 - c**2 - 1. Let s(b) = -5*b**3 + 12*b**2 - 2*b + 9. Let t(i) = 6*n(i) + s(i). What are the prime factors of t(-6)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14875673 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is (-18)\/(-6) - (-5 + -86)*26 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2222202002011 - -212?\nAnswer: 2222202010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 198072 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = j**3 + 6*j**2 - 9*j + 3. Let o = -14 + -3. Let g = o + 50. Calculate the remainder when g is divided by v(-7).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 32*c**2 + 31*c**2 - 70*c**2 + 31*c**2.\nAnswer: 24*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -291, -1264, -3905, -9048, -17527, -30176, -47829?\nAnswer: -71320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 7069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 17026?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 22 + 4 - 3 - 29 + 4 - 38*n**2.\nAnswer: -38*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -156491, -626097, -1408817, -2504651, -3913599, -5635661, -7670837?\n\"Answer: -156557*l**2 + 65*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 19665, 39277, 58889?\n\"Answer: 19612*p + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (7 + -13)*-2 + -31. Put 3, -26, t in descending order.\nAnswer: 3, t, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 > 146\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 5 and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 96891 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Total of -6055 and -3.\nAnswer: -6058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -41*r - 47. Let f(h) = -44*h - 48. Let y(v) = -6*f(v) + 7*q(v). Let l be y(-8). Calculate the highest common divisor of l and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1912.\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -94.21, 1\/9, 3 in increasing order.\nAnswer: -94.21, 1\/9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 3*u**2 - 68*u - 16. Let q be v(23). Put 2, q, 5, -3 in descending order.\nAnswer: q, 5, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 605*k. Let n(u) = 2 + 2137*u**2 - 2136*u**2 - 2. Determine v(n(j)).\nAnswer: 605*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 203531 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 5186711, 5186706, 5186701?\n\"Answer: -5*f + 5186716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -15.9 times -0.4\nAnswer: 6.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -3*(-1)\/12*1\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -39\/89  (b) 24  (c) -2  (d) 29  (e) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -14 divided by -72\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6101793.\nAnswer: 3, 17, 19, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 879 is divided by 27.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1258905\/49 + 25691. Find the common denominator of j and -55\/294.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 548855053 to the power of 1\/2, to the nearest integer?\nAnswer: 23428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**(-2\/43)\/(h*h**20\/h*h*h) assuming h is positive.\nAnswer: h**(-948\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -1 - 42\/(-18) - 7998\/(-9). Suppose 10*t + b = 5610. List the prime factors of t.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-46)\/(-7) - (-48)\/112. Let s(f) = -2*f + 37. What is the remainder when 43 is divided by s(m)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1784113\/48 + -37167. Find the common denominator of y and 139\/24.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 3\/640 or 0?\nAnswer: 3\/640","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 929917*h**5 + 363296*h**2.\nAnswer: 55795020*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**(-38)\/k**(-37)*k**(9\/11)*k**0 assuming k is positive.\nAnswer: k**(-2\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 26 = 2. Solve -20 = 5*q, 3*q + g = -3*b - 0*q for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) be the first derivative of -w**5\/30 + w**3\/18 - 13. Factor n(t).\nAnswer: -t**2*(t - 1)*(t + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1050 + -1973. Let b = 2986 + l. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -51, -32, -13, 6, 25?\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2727844 kilometers in nanometers?\nAnswer: 272784400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (2320 - 2328) + ((0 - 2) + 62 - -1) + 4\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = g**3 + 11*g**2 + 4*g - 3. Let x be u(-7). Calculate the highest common divisor of x and 66.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = g. Let j be -1 + 1 - 2\/(-1). Let v(o) = 2 - 7 + 5 + j*o. What is q(v(c))?\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 327\/(-9) - 4\/(-12). Let x = z - -66. What are the prime factors of x?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w - 6 = -6*w. Suppose 0*n - b - 11 = -w*n, -3*b = 4*n + 3. Factor 0*i**n + 2\/5*i**2 + 1\/5*i - 1\/5*i**5 + 0 - 2\/5*i**4.\nAnswer: -i*(i - 1)*(i + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -4504, -1199, 2106, 5411, 8716?\n\"Answer: 3305*v - 7809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of 141.9 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 80 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -6620280, -13240569, -19860858, -26481147, -33101436?\n\"Answer: -6620289*z + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 8 = -2*a, a - 3*a = -3*v. Suppose 4*o - 23 = -3*x, 4*o - 3*o = -v*x + 2. Let n be 0 + o\/(0 + 2). Is n at least as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4.856274 years to centuries.\nAnswer: 0.04856274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 8\/6*1\/((-26)\/(-3))\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*q**2 + 4*q**2 - 14*q**2.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 6 + 171\/12*4. What is the highest common factor of u and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 5, m: 2, a: 1, x: 1}. What is prob of picking 1 x and 2 m?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 1529357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 35 + 6 + -10 + (2 - 9)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -263 + 383. Is 24 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 66 by -84423.\nAnswer: -22\/28141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (6 - 7)*-4 - -94. Calculate the greatest common factor of y and 84.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*t**4 - 88*t**2 - 2*t**3 + 10*t**4 + 87*t**2 + t**4 - 5 - 2*t**4 in the form o*t + p*t**4 + w*t**2 + r + m*t**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 339 greater than or equal to 735\/38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert -78126 (base 11) to base 15.\nAnswer: -23874","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c = 5*y - 260, 4*c = -15*y + 13*y + 102. What is the greatest common factor of y and 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -74 + 74. Solve -5*m + 4*m + 5 = g for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.5, -61\/4, -37, -1770 in descending order.\nAnswer: -0.5, -61\/4, -37, -1770","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) be the third derivative of c**6\/120 + c**4\/24 - c**2. Let g(r) = -16*r + 3 - 1 + 11*r + 7*r**3 + 10*r. What is g(n) - 6*s(n)?\nAnswer: n**3 - n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 8892952?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.25 + -0.45. Is u at least 122?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 4 = -2*i, 4*i + 25 - 1 = 2*v. Suppose v*c = 0, 1180 = -5*h + 3*c + 8225. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -i**3 + 11*i**2 + 4*i - 8. Give d(8).\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (18 - 4) + -11 - -3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 77 (base 11) to base 14\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -5330 + 5330.2. Is t less than 1145?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 2*s**2 - 189*s + 2965. Calculate o(19).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 3, -22, -1\/7.\nAnswer: -22, -1, -1\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vbv when three letters picked without replacement from baavv.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5 = -33*x + 35*x + p, -2*x - 3*p = -7 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 5*w = -11, -3*w + 13 = b - 0*b. Let o be (2 - 2) + 6 + -1. Suppose o*r - 36 = 3*r. Solve -b - r = 5*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**(-40)\/(g*g\/g**(-1\/25))*(g**(2\/85)\/g)**(-27) assuming g is positive.\nAnswer: g**(-6662\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 152018?\nAnswer: 2, 29, 2621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Add -246997097744 and -28.\nAnswer: -246997097772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 21112014 (base 5) to base 15\nAnswer: 371a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -10592968.3 rounded to the nearest one thousand?\nAnswer: -10593000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 8*l - 17 = 13*l, -5*p - 5*l - 5 = 0. Factor 90*n**4 + 3*n**2 + p*n - 188*n**4 - n**3 - 2 + 97*n**4 + 0*n - 3*n.\nAnswer: -(n - 1)**2*(n + 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l = 9*l - 28. Let t(r) = r**3 + 8*r**2 - 5*r + 1. Is t(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 - (-4 + 8 + -4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-71 - -62)*(-2)\/(-42). Let x = 0.39 - -0.01. Which is the closest to 1?  (a) -5  (b) x  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 322878 and 36?\nAnswer: 1937268","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Rearrange -151*x**2 + 5081 - 5081 to the form a*x + h + u*x**2 and give u.\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -180 >= -180?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-2 + 14\/5)\/1. Let d = 1 - 5. What is the closest to -1\/4 in -3, v, d?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = j**3 + 10*j**2 + 11*j + 21. Let h be v(-6). Suppose 0 = -5*x + h - 4. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 9476 and 10?\nAnswer: 47380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 22887010.\nAnswer: 2, 5, 131, 17471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 799?\nAnswer: 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(66) - 6*(sqrt(66) + 3*sqrt(66)))\/sqrt(6).\nAnswer: -23*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -158*0.18.\nAnswer: -28.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sido when four letters picked without replacement from idkdsdssio.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*k - 5*k - 6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 2 + 5)*(3 + 59*h + 74*h - 161*h).\nAnswer: -112*h + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 6*i**2 + i. Let m = -13 - -17. Suppose 4*s - m = -z, 5*z = 2*z + 2*s + 26. Calculate the remainder when z is divided by u(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 2*b - 3. Let y be c(4). Are y and 5 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -1 - (2 - (-1 + 8)). Let j(f) = -5*f - 20*f + s*f - 13*f. Let o(q) = 4650 - q**2 - q**2 - 4650. Give j(o(a)).\nAnswer: 68*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1 + 5. Let b = 8 + 15. Let a = b - p. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.4?  (a) -4  (b) -2\/19  (c) 207  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -7107931, -7107929, -7107919, -7107895, -7107851, -7107781?\n\"Answer: m**3 - 2*m**2 + m - 7107931","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.06 or -1950?\nAnswer: -1950","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fqtt when four letters picked without replacement from {f: 1, t: 3, q: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -2*b - 5. Let i(z) = -z**3 - 16*z**2 - 12*z + 349. Let c be i(-13). Let g = 3 + -10. Let k(y) = 6*y + 15. Calculate c*k(r) + g*v(r).\nAnswer: 2*r + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 2*b + 14 = 0, -26 = 5*x + b - 0*b. Let r(v) = -3*v**2 - 4*v + 19. Let z be r(x). Let d = 2 - z. Calculate the remainder when d is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36 = -92*w + 101*w. Suppose 2*c - 3*m - 10 - 16 = 0, -2*m = w. Solve -4*n - n = 3*k + c, 2*n = 2*k - 20 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20506 to the power of 1\/2, to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 1600*-0.35\nAnswer: -560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18*i + 20*i + 20*i - 67*i + 9*i - 145*i**2.\nAnswer: -145*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 359491?\nAnswer: 11, 2971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -15 - -6498e?\nAnswer: 64979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -71*a + 68*a = 5*q - 48, 2*q - 30 = -3*a. Solve -2*z = -3*w + 21 - 0, 3*w - q = -3*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6205 is divided by 386.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23*j = -27*j - 8 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*g = -4*j - 3, 191*g + 2*j - 266 = -1215 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000003536 rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = a**2 - 24*a + 1. Let w(y) = 2*y + 1. Let f(s) = u(s) + 6*w(s). Let m be (-2)\/(-5) + (-212)\/(-20). What is f(m)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 64\/4 + (1 - -2). Suppose -v + 2 = -y. Calculate the remainder when 61 is divided by v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) be the second derivative of r**4\/3 + r**3\/2 - r**2 - 3*r + 58. Calculate j(3).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-1 - 11364\/14) + (-158)\/553. List the prime factors of (z\/(-15) + -1)\/(8\/20).\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20061605 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -3 + -7?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1629 in 0.6, 1, 3?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 103\/44 and -69\/88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -10244710\/9 or -1138300?\nAnswer: -10244710\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3935785?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2, -733, 4, -5, 1608, 0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1128 and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 15 and 1920?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -x + 4. Let y = -14 - -21. Give p(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 470*j**2 + 468*j**2 + 462*j**2 - 2804*j**2 + 467*j**2 + 463*j**2 + 469*j**2.\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(-1\/2))**(-25)*(y*y*y**(-2)\/y)\/y**6)\/((y*y**(-10))\/(y\/y**(-1)))**(-14\/11) assuming y is positive.\nAnswer: y**(-17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 8798 and 45315?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1760052?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1429117 and 6?\nAnswer: 8574702","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.08 or -103?\nAnswer: -103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -163 + 175. What is the greatest common divisor of p and 1002?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -6*o**4 - 7*o**3 + 281020*o**2 + 287753555.\nAnswer: -24*o**3 - 21*o**2 + 562040*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -4.3989707 - -3\nAnswer: -1.3989707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 9, j: 11}. What is prob of sequence jkjk?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q**4 - 130*q**3 + 1080*q**2 - 2430*q - 3645 = 0. What is q?\nAnswer: -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 17, 121, 437, 1085, 2185?\n\"Answer: 20*t**3 - 14*t**2 + 6*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**9*d**6*(d**(1\/2))**(-30\/11))**(-10\/19) assuming d is positive.\nAnswer: d**(-1500\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -9*m**3 + m**2 + 3*m + 2. Calculate q(-2).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -53\/96 and 91\/4.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: ((-6)\/(-15))\/(72\/(-1800))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = x**2 + 13*x - 9. Let o be g(-14). Let r be (2\/o)\/((-2)\/(-30)). What is the remainder when 63 - (r\/3 - 0) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 749129 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -3049a9 (base 11) to base 10\nAnswer: -489685","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s = 2*a - 28, 4*a - 13 = -s + 2*a. Suppose -s*u + 1160 = 85. Suppose -u = -2*q + 63. Is 49 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 - ((-9 - (-6 - -5)) + (9 - -11))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in seven halves of a milligram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 124588 is divided by 132?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:10 PM and 12:31 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*q, a - 5 = 4*q + 14. Suppose 385 = 5*n + 4*f, 8*f - 244 = -3*n + 3*f. What is the remainder when n is divided by a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1 - -2. Let q = -7 - -9. Let n = -9 + 9.1. What is the closest to n in c, q, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 147861721 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {z: 4, t: 4, g: 4, f: 6}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -m**3 + 5*m**2 - 5*m - 2. Let x be w(3). Which is smaller: 3\/43 or x?\nAnswer: 3\/43","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 68 = -2*u - 16. Let o be (-2)\/(-4) - u\/12. Suppose -s = s - o. What is the smallest common multiple of 7 and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 20\/(-30) + (-70)\/(-6). Find the second derivative of -c*t + 50 - 50 - 3*t**2 - 7*t**2 wrt t.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 136 minutes before 4:18 AM?\nAnswer: 2:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = 3*w + 47. Let d be n(9). Let u = d + -73. Let f be (u\/5)\/((-7)\/7 + 2). Which is the closest to 0.03?  (a) f  (b) -0.4  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1002 in 5, 197, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2645 = -5*c + 3*y, c - 11*y = -7*y + 512. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(1\/4))**(2\/19))**(-4\/5)*(g**0)**(-16\/3)\/((g\/g**(-1))\/g*g**(-2\/9)) assuming g is positive.\nAnswer: g**(-683\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*z + z + 5*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (2*4)\/((-629)\/(-3145))\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Add -2468543.6612 and -392.\nAnswer: -2468935.6612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 25635?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 616 a factor of 3296971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is w in -6*w**3\/5 - 36*w**2\/5 - 6*w = 0?\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 295 + -292. Suppose -2*q + 2414 = h*z, -q + 5*z = -1572 + 391. What is the thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*l + 2*l**2 + 0*l)*(6 - 3 + 1)*(-6 - 2 - 2)*((-3 + 3 + 2*l)*(0 + 2 - 1) + 3*l - 6*l + 4*l).\nAnswer: -240*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h + 9 = -m, -34*h + 36 = -32*h - 5*m for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (2 + (-38)\/6)*-18?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -18 + 19.8. Let t = 44.8 - k. Let n = t - 42.9999932. Round n to six dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*i - 1374 + 1296 = -7*o, 6*o + 3*i = 39 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rwrxs. Give prob of sequence xs.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-12)\/(-9)*(-5)\/8.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 360 and 94680.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-36)\/91)\/(-3) + 30\/195?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 84397980.\nAnswer: 2, 3, 5, 1406633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-2)\/4 + 156\/8. Let j = k - 2. What is the remainder when j is divided by (20\/3)\/(12\/18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9 - 4 - (-132 + 120).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 63796.23 decades?\nAnswer: 7655547.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v = -v + 54. Let n be 1\/2 - v\/(-6). Solve 5*a + 5*y = 5, -5*a + 2 = y + n for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 63 and 427.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -5*n**3 + 6*n**2 - n - 2. Let x be f(-8). Let m(c) = -8*c**2 + x*c - 2950*c. Let z(v) be the third derivative of v**5\/60 - 3*v**2. Determine m(z(j)).\nAnswer: -8*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find p such that 4\/3*p**2 + 22\/9*p + 2\/9*p**3 + 4\/3 = 0.\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 26047676?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -38489*y + 76964*y - 38481*y.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2 + 0 - 2\/2. Let t = 0.45 + -0.15. Let o be (-1)\/(-21) - (-2)\/7. What is the biggest value in q, o, t?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3 - 2*q**3 + 3*q**2 - 36*q - 24*q**3 - 38*q + 103*q - 28*q as x + g*q**3 + n*q**2 + f*q and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 70 plus -0.75?\nAnswer: 69.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (-2*(-2 + sqrt(153) + -2 - (sqrt(153) + (sqrt(153) - (1 + sqrt(153))) + 2)))**2*-5.\nAnswer: -495","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: 110 (base 2) to base 10\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 2402, 19486, 66030, 156764, 306418, 529722, 841406, 1256200?\n\"Answer: 2455*i**3 - 101*i + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v = 2*v - 20. Suppose 3*l = 26 + v. Solve 2*o + l = 4*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -57174 to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.014 and 435?\nAnswer: 6.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*v - 5 + 25 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.15 in 10, 23, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z = 2*x + 12, 2*x - z = 6 + 2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 8 - (7 - 6\/2). Suppose 3*a - 3*q = 5*a + 14, 14 = -a - 5*q. Let c be 5 + a\/(-5)*(4 + -9). Put 0, w, 2, c in descending order.\nAnswer: w, 2, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2903 = -5*k - 113. List the prime factors of k.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4)\/74 - (-17 + (-21 - -38)).\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-18)\/(-63) + (-10)\/(-14). Let y be 13\/((-16)\/20 + z). Let l = -37 - -63. Calculate the greatest common divisor of l and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 67\/4 - 69\/4. Is u <= 0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 25*r - 96. Let i be g(4). Suppose -12*w - 4*p + 28 = -8*w, -5*p = -i*w + 1. Suppose -3*y + 15 = 3. Solve -2*j + 2 = -w*j + 3*t, -4 = y*j - t for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.320043 + -0.32. Round g to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:23 PM and 4:38 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -18 + 20 - (-12)\/((-5)\/(-20) - 1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 20, -4, -2.\nAnswer: -4, -2, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + -3 + (1 - -5) + -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + 6 - (-2 + 2 + 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = d. Let w(j) be the third derivative of 0*j + 0*j**4 + 37\/15*j**5 + 0*j**3 + 0 - 72*j**2. Determine o(w(u)).\nAnswer: 148*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -373 - -373. Suppose 3*y - 2889 = -3*g, d = 3*g - g - 4*y - 1920. List the prime factors of g.\nAnswer: 2, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 29*l**3 - 173*l - 53781.\nAnswer: 87*l**2 - 173","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 22144.71 centuries?\nAnswer: 2214471","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) be the second derivative of -3*o**5\/20 - o**4\/12 - 2*o**3\/3 + o**2\/2 + 37*o. Let g be f(2). What is the least common multiple of 27 and (-180)\/g*28\/6?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -231*a**2 + 117*a**2 + 107*a**2.\nAnswer: -7*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 16223, 64972, 146221, 259970, 406219?\n\"Answer: 16250*n**2 - n - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*v + v - 2*d = -119, 0 = -3*v + v - 9*d + 543 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10100100010 + -10100100111011100?\nAnswer: -10100010010111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -12 - -30. Suppose w + 42 = -5*x. Put 2, x, 0 in decreasing order.\nAnswer: 2, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -1374416 and -1374440 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1452 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is -16632\/83 greater than -199?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*s - 33*h = -36*h - 1 - 14, -7 = -2*s + h for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*c + 3*c. Suppose -3*z + 13 = 2*g, 4*z + c*z - 4 = 4*g. What is the greatest common divisor of g and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = 3*j**3 - 7*j**2 + 22*j - 57. Let x be i(5). Differentiate -27*z - 14 + x*z + 70 + 7 wrt z.\nAnswer: 226","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 64\/24*(-3)\/(-2). Let n be (-1 - 4)*8\/(-10). Suppose n*s + s - 441 = -b, 73 = s + t*b. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zmizykgkkkmkgmgzkigm. Give prob of picking 1 z and 1 g.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 2.53 < -65088?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -7*n + 2. Suppose -3*u = -64 + 172. Let w = 41 + u. Let g(o) = -6*o + 2. Calculate w*g(t) - 4*r(t).\nAnswer: -2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 10234958 and 808023.\nAnswer: 30704874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1292 and 27812?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:13 PM and 3:59 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = k + 3. Let x be j(1). Calculate the greatest common divisor of 2 and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 244, -4, -187 in decreasing order.\nAnswer: 244, -4, -187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 98379.3437161 + -98326.3437. Let h = 53 - z. What is h rounded to six dps?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 25, -5, 26, -17, 5 in increasing order.\nAnswer: -17, -5, 5, 25, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j = 3*j - 24. Let s be (140\/(-8))\/(2\/j). Let f be (182\/s)\/(4\/(-10)). What is the greatest common divisor of f and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1471307 to the power of 1\/2, to the nearest integer?\nAnswer: 1213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:02 AM and 12:16 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*y + 5*r + 9997, -23*y = -25*y - 2*r + 9976. What is the highest common factor of 161 and y?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1552\/36)\/((-480)\/960) - (-2 - (-16)\/9).\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express f**2 + 0*f**2 + 2*f + 7*f**3 - 2*f**3 - 6*f**3 as v + r*f + u*f**2 + p*f**3 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2280 or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4*r + 3 - 3)*(-r - 2*r + 4*r) + 2*r - 2*r**2 - 2*r to f*r**2 + b*r + m and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 145757174 to the power of 1\/2, to the nearest integer?\nAnswer: 12073","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + 1 - (13 + -1 + -1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*q = 66 - 18. Let s be 18*-1*q\/6. Suppose 3*m - s = -0*m. Solve -m = -u - 4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 155.000363 + -155. Round v to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2246 a factor of 36353756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2507 is divided by 421.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*r - d - 66, -r + 56 = -335144*d + 335143*d for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -17*w + 92. Let a(g) = 9820*g**2. What is j(a(k))?\nAnswer: -166940*k**2 + 92","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 301 divided by 384171?\nAnswer: 301\/384171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -2527, -20284, -68495, -162388, -317191, -548132, -870439?\n\"Answer: -2538*b**3 + b**2 + 6*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 118962170?\nAnswer: 2, 5, 47, 127, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 31\/1799 and 23\/4?\nAnswer: 7196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -3 + 285?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -9, 103, 19, -1 in increasing order.\nAnswer: -9, -1, 0, 19, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*x - 0*u - u - 13, 15 = -5*x - 5*u. Suppose -3*n + 9*a - 12*a = 6, 3*a + 27 = 4*n. Solve -n*b - x*b = 20 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 1 m when two letters picked without replacement from sjjjjjjjjjmjjj.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + -5*((sqrt(108) - (sqrt(108) + sqrt(108)*2*-2 + sqrt(108))) + (sqrt(108) + 0)*6) + -3)**2.\nAnswer: 3240*sqrt(3) + 218736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -7*d**3 - 1. Let x be g(1). Let a = x - -14. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-2)\/(-20))\/(2\/3908). Let u = k - 195. What is the closest to -2\/57 in 0, 1, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28*y + 47548 = 48332 for y.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*a**3 - 15*a - 5*a**4 - 10*a + 24*a to c + p*a**2 + q*a**4 + o*a + t*a**3 and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(12) + 1*sqrt(12))\/sqrt(4) + -5 + -2)*-6 - ((sqrt(192) + 2 + sqrt(192))*-1 + (-3 + sqrt(192) + 3 + sqrt(192) + sqrt(192) - sqrt(192)))**2.\nAnswer: -12*sqrt(3) + 38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w = -2*w - n + 2, 4*n = 0. Is -1 <= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3.956 - -10.464. What is k rounded to 0 dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) be the second derivative of -q**4\/12 - q**3\/6 - q**2\/2 + 2*q. Let p(v) = 2*v**3 - 4*v**2 - 5*v - 5. Let c = -3 - -8. Calculate c*j(h) - p(h).\nAnswer: -2*h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*h - 4 = 4*o, -60*h = -58*h - 3*o + 17 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y = -u + 81, -3*y + 236 + 29 = 5*u. Calculate the smallest common multiple of u and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) -6\/41  (b) -18\/5  (c) -3\/5  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.2, 3\/2, -2.3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = p**3 - 4. Let r be y(2). Solve 2*n + r = n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mxmyyaaxmomxxo. What is prob of sequence oo?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 2 m when three letters picked without replacement from mmamhkmhahkkmmmmh?\nAnswer: 14\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = f**3 + 7*f**2 - 6*f + 4. Suppose l - 2*l - 4 = 0, 5*q + 5*l = -60. Let i be y(q). Let x = 11 + i. What is the closest to 1\/4 in 3, x, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 463, 461, 459, 457, 455, 453?\nAnswer: 451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 240, -2\/71, -0.5, 2, -6 in increasing order.\nAnswer: -6, -0.5, -2\/71, 2, 240","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = x**2 + 8*x - 92. Let r be t(-16). 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: Let v(d) = -1359393*d**2 - 189*d + 14. Let c be v(-6). Round c to the nearest 1000000.\nAnswer: -49000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) be the first derivative of -m**2\/2 + 1. Let o(j) = 284 - 568 + 284 + 20*j**2. Determine o(q(g)).\nAnswer: 20*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w - 50 = -3*m, -54 = 3*m - 8*m + w. Let y be (4 + 2)*112\/96 - 4. Solve -y*o - m = -o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (80\/(260\/26))\/(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 286796a + 5?\nAnswer: 2867972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 398 a factor of 325962?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 5, k: 8, e: 4, o: 2}. Give prob of sequence zekk.\nAnswer: 35\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 1076478 divided by -2?\nAnswer: -538239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 6\/(-27) - 319\/(-99). Let n(w) = -4*w - 5. Let q(g) = -7*g - 9. What is m*q(c) - 5*n(c)?\nAnswer: -c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.5  (b) -10  (c) -9\/14  (d) -4  (e) 19  (f) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (0 - 3 - 40\/(-12))*57. Suppose -3*q + 57 = 4*z, 5*z = 3*q + 97 - i. Is 8 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -118982 - -118999.7914. Let t = -17.97 + r. What is t rounded to 2 decimal places?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from rrrrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*r - 3*r + 4*r - r + r + r + (1 - 3 + 4)*(r + 2 - 2) - 18 + 18 - 16*r + (2 + 1 - 2)*(-r + r + 2*r))*(17 - 2 + 33).\nAnswer: -624*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -73\/8991710 and -125\/8202194.\nAnswer: 1681449770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = 7*n. Suppose 3*b + 3*l - 11 - 4 = 0, 4*b - 12 = -2*l. Let x(d) = -d**2 + 1. Let f(m) = 3*m**2 - 2. Let s(w) = b*f(w) + 2*x(w). Give s(y(j)).\nAnswer: 49*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -231*155.\nAnswer: -35805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -5 - 1640?\nAnswer: -1645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = y - 18. Suppose -22*q - 349 = -19. Calculate r(q).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -272.17 + 272.17. Sort k, -1.3, 9.7, 0.3 in ascending order.\nAnswer: -1.3, k, 0.3, 9.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 27336973 from -90014.\nAnswer: -27426987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is -64003 >= -77049?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 + 81314 = 11*z. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8d (base 16) to base 9\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*h + 36 = -13*h. Calculate the highest common divisor of 4 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 9591566?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:38 PM and 5:50 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*-3*((-6*(sqrt(448)*-2 - sqrt(448)))**2 + ((sqrt(448) - (sqrt(448) + -4))*3 - sqrt(448))).\nAnswer: -1306476 + 72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -60.7 + 42.59. Let i = -17.4 - f. Round i to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 4*f + 1. Let g be l(1). Suppose 0 = 2*o + 184. Let b = o - -553\/6. Put b, g, -2 in decreasing order.\nAnswer: g, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-22)\/77)\/((-8)\/(-21))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 112 - 227*t + 675*t - 224*t - 229*t - 41. Calculate y(17).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8 = 4*i - 4*s, 4*i - 11*s + 10*s - 85 + 83 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4.2?  (a) -1\/3  (b) 0.5  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -40*i + 11224 - 2944. What is the greatest common divisor of 276 and i?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve v = 2*v - 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (o**2 + o**2 + o**2)*((-2*o - o + 4*o)*(-2*o - 3 + 3) + 0*o**2 - o**2 - o**2 - 3*o + 3*o + 2*o**2).\nAnswer: -6*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00291070583 to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h = 1447 - 1451. Does h = 7\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.009 rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = c**4 - 8*c**3 + 10*c**2 + 6*c - 3. Let r(d) = d**4 - 2*d**3 + 2*d**2 + d + 1. Let k(t) = -5*q(t) + 10*r(t). Factor k(x).\nAnswer: 5*(x - 1)**2*(x + 1)*(x + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2828*v**3 - 2828*v**3 - 13*v + 57*v**4 + (2*v**4 + v**2 - v**2)*(3 - 3 - 1) in the form t*v**2 + u*v + w*v**3 + o + m*v**4 and give m.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t, 1 u, 1 o, and 1 e when four letters picked without replacement from nnnoutoutndueu?\nAnswer: 16\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) be the second derivative of 19\/2*a**2 + 8\/21*a**7 - 1\/12*a**4 + 0 - a - 1\/30*a**6 + 0*a**3 + 0*a**5. Find the third derivative of m(g) wrt g.\nAnswer: 960*g**2 - 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is -125*(-126)\/189 + (-5)\/(-3)?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -23 > -255329?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*u - 2*w - w + 12, -5*w = 5*u + 5. Let x(d) = -d**3 + 1. Let v(h) = 3*h**3 + 3*h**2 + 3*h + 2. Let r(s) = -v(s) - 2*x(s). What is r(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 5 - 1)*(2*k**4 - 2*k**4 + 2*k**3 + 2*k + 2*k**4).\nAnswer: 4*k**4 + 4*k**3 + 4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p = -0*p + 4*n - 314, 5*p = -3*n - 1639. List the prime factors of p\/(-6) - (-3)\/(-9).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 105 a factor of 508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 61614272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -453*f - 291*f - 18556 = 44684 for f.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2 - 2. Solve 0 = -2*c, 2*k + 4 + f = 3*c for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -19 - (20 - (26 + (-14 - -26 - -3))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -29 + 134. Let v be o\/6*12\/(-15). Find the common denominator of 22\/(-77) + (-53)\/v and -22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = 3202*t**3 + 2*t**2. What is the thousands digit of h(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4566432 and 195.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -d**2 + 3*d - 7. Let j be n(6). Let m = j - -35. Solve 0 = -3*o - 2*o - m for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-46)\/10 - 4\/10. Let l = -17 + 14. Is f greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -649, -1303, -1957?\nAnswer: -2611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:20 PM and 9:31 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 14224412, 28448818, 42673224?\n\"Answer: 14224406*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 25 = -x, 5*a + 0*x - 3*x = 33. Let l be (11\/a)\/(24\/(-72)). Let f(j) = -j**2 + j - 6. Let c be f(0). Which is smaller: c or l?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 8230 + -172748\/21. Let j = 282 + -274. What is the common denominator of u and 4 - j - 664\/(-192)?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jwrj when four letters picked without replacement from {w: 5, r: 3, j: 8}.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x + 12 = 0, 4*y - 2*x - x - 100 = 0. Suppose -62 + 68 = -3*v. Let j be (3 + 69\/(-12))\/(v\/176). What is the highest common factor of y and j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 + 7 = 2*r + 3*z, -r = -2*z - 6. Suppose a = 1, -r*f + 3*f - 5*a - 2 = 0. Let g = f + 2. Let u(v) = -6*v + 7. Let q(w) = w - 1. Give g*q(l) - u(l).\nAnswer: l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 1.1265 - 261575565\nAnswer: -261575563.8735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*l**4 - 8580*l**3 - 9055034*l**2 + 315349320*l - 2701713032.\nAnswer: -2*(l - 17)**2*(l + 2162)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 1, l: 1, p: 3, q: 3, v: 3, j: 3}. What is prob of sequence vjh?\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 15 = -5*w + 4, 5*c - 5*w - 10 = 0. What are the prime factors of 289\/2 - ((-10)\/(-4) + c)?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2138339657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 28 - 26. Let h = -1.7 + t. Which is the third biggest value?  (a) h  (b) 7  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18244603 divided by 1403431.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*u - 4*o = 25, -2*o + 4 + 21 = 5*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -2332053 - 101013?\nAnswer: -2433110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 10 - 10. Suppose 3*b - 224 = 4*u, 6*b - b = 0. Let o be (-26)\/u + 3\/(-4). Is n bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -3*b**2 - 48*b + 10. Let x be k(-16). What is x rounded to 0 dps?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 - (4 + -6 + 34 + 17 + (3 - 14))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 78, -18, 2 in descending order.\nAnswer: 78, 2, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z = -0*c - 2*c - 5403 + 5341, z = 3*z - 4*c - 34 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 48 a factor of 28032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3221*b + 842*b + 883*b - 23019*b - 6812*b - 666*b)*(0 - b + 0).\nAnswer: 31993*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*f + 2*x - 12 = 0, -12*x - 2 = -4*f - 10*x for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -4*j*n**2*t**2 - 7*j*n*z**2 - j - 2*n**2*z**2 - 18*n*t*z + t**2*z**2 wrt j?\nAnswer: -4*n**2*t**2 - 7*n*z**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 + -2 + (-12 - -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 31*c**2. Let v(q) = 2*q - 12. What is b(v(r))?\nAnswer: 124*r**2 - 1488*r + 4464","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4896?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 4\/2 - (2 + -49). Let g = -179\/4 + c. Calculate the common denominator of -28\/9 and g.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) be the third derivative of -u**6\/120 - u**5\/60 + u**4\/6 - u**3\/6 + u**2. Let n be o(-3). Let d be (0 - 2) + 8 - 3. Solve d = w + n for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1301.3 rounded to the nearest 100?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 11313101201 + 31?\nAnswer: 11313101232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2)\/(3*(-6)\/27). Suppose -i*u + 19 = -2. Suppose 0 = -u*b + 3*b + 16. Solve -b*d + 21 = 1 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 598652 is divided by 26774.\nAnswer: 9624","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -83\/15130 and -63\/1399270.\nAnswer: 124535030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 24851 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by -73.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2067 and 9?\nAnswer: 6201","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*p - 2420 - 220. Round p to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*g**2\/4 - 1258305*g\/4 - 3774825\/2.\nAnswer: -5*(g + 6)*(g + 251655)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = 57*l**2. Let k(g) be the third derivative of 7*g**5\/60 + 7*g**2. Determine -4*d(c) + 33*k(c).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 20 + -30. Let j = d + 11. Calculate the remainder when (-2 - 0) + j + 27 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3289184 and 1148.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*1*(((sqrt(88) + sqrt(22))*-4)\/sqrt(2) + ((sqrt(121)*2 - sqrt(121))*-2 - sqrt(121))\/sqrt(11)))**2.\nAnswer: 39600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3*(-8)\/(-360)*3.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2.885 + -2431.115. Let s = 2246.9 + y. Let f = 196 + s. Round f to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 28975320 by -6.\nAnswer: -4829220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 832, 828, 808, 766, 696, 592, 448?\nAnswer: 258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 23263, 92524, 207967, 369592, 577399, 831388?\nAnswer: 1131559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1.1 in -1\/472, 0.5, -4, 2\/9?\nAnswer: -1\/472","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 53\/20 and 31\/1300?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 884259 is divided by 450?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 189 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 > 27\/37372?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11 - 2*d**2 - 35 + 14 + 160*d + 3*d**2 + 21.\nAnswer: d**2 + 160*d + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1, 0.3, -36, 0, -3\/17?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(85)*2 + sqrt(85))\/sqrt(5) + sqrt(17) - sqrt(17) - (-1*sqrt(17)*4 - sqrt(17)))**2.\nAnswer: 1088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -k**2 - 11*k - 19. Calculate j(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 11275271?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -267075 divided by -29675\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = z**2 + z - 1. Let u(d) be the first derivative of d**4\/4 - d**3 + 3*d**2\/2 + 2*d - 384. What is -2*u(c) - 4*y(c)?\nAnswer: -2*c**3 + 2*c**2 - 10*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1460242 is divided by 486743.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8 + (-12 - -26) + -27.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 - 2 + 2*b + 2*b + 2*b - 3*b + (-3*b - 3*b + 5*b)*(1 - 1 + 2) + 3*b + b - 2*b + 0 + 0 + 2*b - 4*b - 9*b - 30*b.\nAnswer: -38*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 261574 + -261574.4. Let z = -1\/6 - -1\/2. Sort d, z, 1\/12 in descending order.\nAnswer: z, 1\/12, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:49 PM and 4:27 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-330)\/44*(-4)\/(-170)?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*q = -q - 30. Suppose 0 - n**2 + 1\/4*n**q + 3\/2*n**3 - n**4 + 1\/4*n = 0. Calculate n.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 18500 or 18510?\nAnswer: 18500","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -219.5  (b) -229  (c) 2\/3  (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -20 - -21. What is the nearest to -2\/11 in k, 2, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dsddmddmsnmnddd. Give prob of sequence sm.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -190*g**2 + 70*g**3 - 18*g**3 - 19*g**3 - 14*g**3 - 20*g**3.\nAnswer: -g**3 - 190*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((q**(-4\/23)\/q)\/(q\/(q**(-12)\/q)))**(-32))**(-3\/13))**36 assuming q is positive.\nAnswer: q**(-1206144\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -4, 5446, -3 in descending order.\nAnswer: 5446, 4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*c = 5*j + 199, -c - 18846 = -2*c + 10*j - 18454 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 11\/13 and 23\/1950.\nAnswer: 1950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + (((sqrt(98) - ((sqrt(98) - -2*sqrt(98)) + -4)) + sqrt(98) + (sqrt(98) + 2)*2 + sqrt(98))**2 - -6*3*3*sqrt(98)))*4.\nAnswer: 1844 + 2408*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2986699672?\nAnswer: 2, 11, 17, 53, 139, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.408 + 0.092. Which is the closest to 2\/15?  (a) -5  (b) -3  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -100748, -201501, -302256, -403013, -503772, -604533?\n\"Answer: -h**2 - 100750*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -47296970*x**4 - x**3 - 138552410*x**2?\nAnswer: -1135127280*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 6444 = 2*o, t - 5*o - 623 = 2603. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10 of a kilogram in grams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) be the first derivative of y**2 - 1. Let s(i) be the third derivative of -i**5\/20 + 3104*i**2. Calculate v(s(j)).\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -r**2 + 7*r - 7. Let s be y(5). Suppose s*c - 6 = -2*n, 0 = -c + 2 - 4. Suppose 3*x - n = -3*o, -x = -5*o + 2*o + 6. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -445867 + 283885085.\nAnswer: 283439218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 51796, 51792, 51786, 51778?\n\"Answer: -z**2 - z + 51798","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.6882045ng in grams?\nAnswer: 0.0000000006882045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 t, 1 y, and 1 j when four letters picked without replacement from yjyttjjj.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 4294 and 42940.\nAnswer: 42940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -3751 - -1?\nAnswer: -3750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 - 84698.\nAnswer: -84701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6165 - 6165 + 10*v.\nAnswer: 10*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*m**2\/6 + 388673470*m\/3 - 777346945\/6.\nAnswer: 5*(m - 1)*(m + 155469389)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*v - 2*v + 205. Suppose 2*x + 14 = 2*a + 4, 5*a - 17 = x. Suppose 3*w - v = 4*k - 3*k, -a*k = -3*w + 45. Is 7 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 20138 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 453 minutes after 11:56 AM?\nAnswer: 7:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -7138, -7286, -7434, -7582?\n\"Answer: -148*o - 6990","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 - 2 = 3*i. Suppose 0*h + 2*h = i*b - 3599996, -2*b + 1799992 = -4*h. Round b to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is q in -5*q**2 + 170*q - 320 = 0?\nAnswer: 2, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 + 230 = 5*w - 3*g, 5*w - 196 = -2*g. Solve 3*n + 5 = 2*m, -5*m - n = 2*n + w for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2\/5, -13\/4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r = 2*u + 20, 0 = -15*r + 10*r - 2*u + 22. Suppose r*t = 18*t - 216. Suppose h = -2*h + 18. What is the lowest common multiple of h and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 32932 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -9246, -9243, -9240, -9237?\nAnswer: -9234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = 3*f**2 - 25*f - 17. Let w be q(9). Let h = -1\/40 - -21\/40. Which is the smallest value?  (a) h  (b) -0.4  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**(-24)*m\/(m*m\/(m\/(m**(-2)\/m))) assuming m is positive.\nAnswer: m**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1120287530 - 1120287582.9999653. Let y = -151 + 98. Let l = i - y. What is l rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0016957838 to five dps.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2262, 2380, 2708, 3354, 4426, 6032, 8280?\nAnswer: 11278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*c - 2 + 2 + 0 to the form z*c + w and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 744241 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + 25 - 8 = 0. Let i = -6 + z. Is 23\/2 > i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -17.2 + 101.2. Let k = -84.0000033 + u. What is k rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -25*j - 32. Let q be t(-2). Find the common denominator of -4\/63 and 71*2\/q*(-25)\/(-225).\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -17353, -34686, -52019, -69352, -86685?\n\"Answer: -17333*s - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -5 + 6. Let r(n) be the first derivative of 31*n**2\/2 + n + 2. What are the prime factors of r(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 - (-3 + 0) - (-9 - 1 - -19)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 35 a factor of 24\/(-6) - -2349 - 0 - 0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 19 + -17. Solve 3*w - v + 2 = -3, 0 = o*v - 4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*d - 5*y = 6*d - 5, 3*d + 5*y + 55 = 0 for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b - 2*b = 24. Let k(t) = t**3 + 7*t**2 - 8*t + 7. Determine k(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by -32.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 5*l**3 + 381*l**2 - 7*l + 28. Let u(k) = -2*k**3 - 191*k**2 + 3*k - 12. Determine 3*t(r) + 7*u(r).\nAnswer: r**3 - 194*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 110900\/800 + (-15)\/24. Let j(x) = -x**2 - 3*x + 1. Let b be j(-4). Sort t, b, 4 in decreasing order.\nAnswer: t, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -a**2 + 216*a + 880. Calculate v(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (1 + 4*41)\/1. Suppose -1063 = -11*v - 1030. Suppose 4*p - 165 = -v*r + 6, -3*r - 2*p + c = 0. List the prime factors of r.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -82766 (base 13) to base 6\nAnswer: -5004005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -3 + 76?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 15*(-6)\/135*5*135\/(-45)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iwi when three letters picked without replacement from wtiwwwiiiiiiwwwiw.\nAnswer: 28\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 24\/3*(28\/8 - 3). What is the remainder when 55 is divided by -92*4\/(-8) - 16\/f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-6)\/15 + 2\/5. Let u be (-10)\/(-25) - (-104)\/(-130). Which is the nearest to i?  (a) u  (b) -0.1  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 36936 and 2168.\nAnswer: 10009656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -2 times -325\nAnswer: 650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -2\/7  (b) -31  (c) -22  (d) 2  (e) -20  (f) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w - 2*a = -a + 71, 3*a = -5*w + 109. Let u = -18 + w. Sort u, -4, 4.\nAnswer: -4, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-52 + 1)*1\/(-3). Suppose 2*p = 2*r - l - 3, 0 = -3*r - p + 42. What is the second derivative of -7*q - 8*q + 9*q - r*q**5 wrt q?\nAnswer: -260*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 123 + 5*l**2 - l - 139 + 48*l + 20 to the form s + w*l + z*l**2 and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6 - 3*o**3 + 16 + o**4 - 2*o**2 - 11 to the form h*o + m*o**4 + s + y*o**3 + p*o**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (-14 - -10 - -5) + 6?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c = -6, 3*g = 2*g + 5*c + 11. Let l be 9\/6 - g\/(-2). Solve b - 5 = -l*v, 3 = 2*v + 5*b - 6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1\/5*s**2 - 4\/5*s - 1 = 0. Calculate s.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*n = 6*n + 2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c - 5*m + 28 = 0, 5*c + 5*m = 19 + 41. Let k = -11 + c. Solve -j - 3*s - 17 = 4*j, 0 = -5*s + k for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2992 = 821397*c - 821465*c for c.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 2*q**3 - 3*q**2 - 6. Let n(i) = -37. Let d(s) = 15. Let t(o) = 5*d(o) + 2*n(o). Determine 6*t(p) + v(p).\nAnswer: 2*p**3 - 3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 - (-1 + (1 - -1 - 6)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -109\/100 and -29\/193636100.\nAnswer: 193636100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -g**3 - 3*g**2 + g - 9. Let d be y(-4). Suppose 3*s = -d*n - 171, n = s + 4*s + 267. Is s greater than -54?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -13 (base 7) to base 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ggo when three letters picked without replacement from oggogggg.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -0.4  (b) 3  (c) 27  (d) -3\/7  (e) 1.86  (f) -1  (g) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -o = s - 11, -161*o - 5*s = -165*o - 19 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 68 divide 408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = 39*y**2 - 1139*y - 1119. What is h(30)?\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3996 and 1188?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 687 minutes after 1:00 AM?\nAnswer: 12:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 3, w: 8, m: 1, f: 4, t: 1}. What is prob of sequence tbm?\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 185754.\nAnswer: 2, 3, 83, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n*n**3\/n)\/n*n)**48*((n*n\/(n\/n**(-1\/4))*n*n)\/n)**(1\/2) assuming n is positive.\nAnswer: n**(1159\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 28080 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18.7 + -2293.\nAnswer: -2274.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t + 28 = 36. Let m(u) = -8*u**t + 2*u + 9*u**2 + 4 + 9*u. What is m(-8)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = 2*f. Let g(m) be the third derivative of m**4\/24 - 33*m**2. Determine t(g(s)).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*g**3 + 57 + 3*g**3 + g**3.\nAnswer: -2*g**3 + 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*sqrt(228)*5)\/(sqrt(1200)*-2).\nAnswer: -3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 23402 - 16783. What is the remainder when i is divided by 86?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rtgetpeptppogeg. What is prob of sequence ego?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3866170 by -55.\nAnswer: 70294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 33715 (base 8) to base 11.\nAnswer: a807","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 1 = -m, -3*y - 8 = -4*m - 7*y. What is the units digit of 7 - (-3 + (m - 0))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 1361771363?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*w**2 + 3 + 4*w**2 - 2 + (-4 + 1 + 4)*(0*w**2 - 3*w**2 - 2*w**2) as u*w**2 + t + v*w and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of -18 + 19 - 7520\/(-5)?\nAnswer: 5, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 903?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:08 PM and 6:45 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 9\/8 in -2, 0.5, 3, 2\/51?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lrrxrlxtplurr. What is prob of picking 1 u and 3 r?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 2368511 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.03 in 0.2, 2, 85?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(2) + sqrt(12)\/(sqrt(216) - sqrt(6)) + sqrt(2) + sqrt(2) - (1*sqrt(16))\/sqrt(8).\nAnswer: 11*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -53.1 + -2.9. Let l = -93 + 41. Let i = l - w. What is the nearest to -1 in i, -1\/7, -3.4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -6*i**2 - 74*i - 196. Determine t(-7).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3362857 by 3362857.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -4877, -39148, -132209, -313454, -612277, -1058072?\n\"Answer: -4899*i**3 - i**2 + 25*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 61, 77, 119, 199, 329, 521, 787, 1139?\nAnswer: 1589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -45*j**2 + 30*j**2 - 21*j**2 - 49*j**2.\nAnswer: -85*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-6)\/i**(-1\/2)*i**(2\/23)\/((i\/(((i**(1\/4)\/i)\/i)\/i))\/i))**(-28) assuming i is positive.\nAnswer: i**(5257\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 + 50 = 5*y. Suppose y = -5*l + 2*l. Let x be 2\/((24\/9)\/(-4)). Which is the closest to -2\/3?  (a) l  (b) 4\/7  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 184019 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) be the first derivative of -r**5\/120 - r**4\/24 - 4*r**3\/3 + 20. Let w(a) be the third derivative of m(a). Determine w(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 90747 and 14121?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = 411*j**3 - 7*j**2 - 3*j - 13. Let b be p(-9). Let m = b + 172. What is m rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -102 divided by 2.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*i - 2*i + 2*i)*(13 - 4 + 8)*(-143 - 72 - 304)*(-2*i**3 + 2*i - 2*i) as p*i**4 + h*i + r*i**2 + k + z*i**3 and give p.\nAnswer: 35292","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k - k = -18. Let b(x) = x**2 - 6*x. Let g be b(k). Is (-2)\/(6\/(-1041) - g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 12 and 8584?\nAnswer: 25752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -167 + 170 - (-22 + 1). Let j be (-2)\/(-8) + 446\/8. What is the highest common factor of j and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -21 by 2728.\nAnswer: -21\/2728","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.5 and 504452.5?\nAnswer: -252226.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 0\/((-3)\/1 - 0). Suppose 3*v - 33 + 18 = l. Suppose -i + 91 = v*n, 3*n = 4*n - 4*i - 35. What is the highest common factor of 95 and n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = y**3 + 2*y**2 + 4. Let s be g(-3). Let c be 2*((-69)\/(-6))\/(s\/(-10)). Let v = 59 - c. Calculate the greatest common divisor of 1 and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = a. Let z(k) = -187*k**2 - 258*k**2 + 47*k**2 - 194*k**2 + 46*k**2. Determine g(z(t)).\nAnswer: -546*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -2*b**2 - b - 1. Let h(y) = 4*y**2 - 4*y - 4. Let s(i) = -h(i) + 3*q(i). Let a(p) = -51*p**2 + 6*p + 6. Calculate 2*a(l) - 11*s(l).\nAnswer: 8*l**2 + l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c - 122 = -4*h - 12, -3*h + 51 = -c. What is the common denominator of (34\/(-9))\/((-4)\/(-15)) and 564\/c + (-2)\/(-3)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = 1182*d + 670187. Give i(-567).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (8\/(-2))\/(-3 - -2). Let v(a) = -a + a - 1 + 10*a. Is 13 a factor of v(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -50 = 47*o + j, -5*j - 74108 = -o - 74094 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 981.5127 tonnes to micrograms.\nAnswer: 981512700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2 - 88\/(-20))\/((-6)\/(-15)). Let c(x) = 2*x**2 + 8*x - p*x - 4*x**2 + 0*x - 1. Let r be (-32)\/(-18) - (-2)\/9. Give c(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 69469 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w*(w*(w*(w*w**4*w*w)\/w)\/w*w)\/w)\/w**26)\/(w**(11\/4))**(-29) assuming w is positive.\nAnswer: w**(247\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 2*h - 0, 2*h = 5*r - 141. Suppose r*a + 27 = 30*a. Let o = a - 5. List the prime factors of o.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5930334?\nAnswer: 2, 3, 36607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -49.49 - -50. Let a = 0.31 - o. Put a, 5, -1, 2\/5 in decreasing order.\nAnswer: 5, 2\/5, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (1549 - 1)\/(2\/64). Suppose 0 = -3*n + 5064 + c. Round n to the nearest one thousand.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 22927 is divided by 7561.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 298 + -297.99999075. Round r to six decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:03 PM and 9:06 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*s - 16, -2*l - 6*s = -11*s - 670. What are the prime factors of l?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 307 + -310. Put -2, f, 1, 3 in increasing order.\nAnswer: f, -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6262.\nAnswer: 2, 31, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 306.64 to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10024014 is divided by 8950?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Add 4551 and -4466.5739.\nAnswer: 84.4261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 5189758*z**2 - 2*z - 1248806 wrt z?\nAnswer: 10379516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -123*i + 688 = -1034 for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sum -1192677 and -4.\nAnswer: -1192681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*i - 25 = f, 5178*f - 5179*f - 5 = -2*i for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1963157 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 22 - 18. Suppose h*p + 4*y - 88 = 0, 3*p + 3*y - 2*y - 74 = 0. What is the greatest common divisor of p and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8863*k + 1351*k - 14500*k - 2936*k + 2522*k to the form x + s*k and give s.\nAnswer: -22426","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express -1057*r + 70432 - 70432 + (-2 + 1 + 0)*(-r + 3*r - 3*r) + 2*r - 1 + 1 + 0*r - r + 0*r as w*r + h and give w.\nAnswer: -1055","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*w**2 + 16*w**3 - 4*w**2 - 522*w**5 - w**2 - 1 + 520*w**5 wrt w.\nAnswer: -120*w**2 + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 585889 (base 11) to base 16\nAnswer: e3137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 2*t**2 - 34*t - 61. Let n be v(-2). Suppose -7*b - 802 = -2*l - 3*b, l + 5*b = 415. What is the highest common factor of l and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = 23*r**2 + 1. Let l(d) = -d**2 + d - 1. Let g(k) = -k + 1. Let z(p) = -g(p) - l(p). Calculate z(h(i)).\nAnswer: 529*i**4 + 46*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1 + 1. Suppose 0 = -4*f - i + 4. Let c = 9 + -5. Calculate the smallest common multiple of f and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 - 4) + 3 + (14 - 20) + 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -525 by -105.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -19\/131395 and -18\/55.\nAnswer: 131395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 3\/1832?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 44*w**5 - 9*w**2 + 33*w + 9. Let i(r) = 11*r**5 - 2*r**2 + 8*r + 2. Let o(x) = -2*d(x) + 9*i(x). Find the second derivative of o(s) wrt s.\nAnswer: 220*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*s - 3*b + 10, -4*s - 3*b - 635 = -654 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = 5 + 0 - j + 1. Let f be q(5). Suppose 3*d = -2*t - 4 - f, -d + 2*t = 7. Is d at most as big as -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -52\/3559425 and -41\/2175.\nAnswer: 103223325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -z**2 - 7*z + 10. Let l be w(-8). Let j = -138 - -66. Let m be (6\/j)\/(l\/(-6)). Which is the closest to 1?  (a) 1  (b) 5  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18838613 a multiple of 479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*g + 21 = -2*u, 27*u = 91*g - 88*g - 66 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-52604)\/(-28) + (-8)\/(-28)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (0 + 1)\/3 + 69\/(-18)\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*j**2 + 5*j**2 + 0*j**2)*(-j - 5*j + 4*j + (-20 + 3 - 6)*(-j - 7*j + 2*j)).\nAnswer: 272*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 28 - (-1*2 + 3). Suppose -i + y = -0*i. Let o = -16 + i. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 36\/(-27)*9\/3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -301 divided by -22.\nAnswer: 301\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 10 + 13 = 0. Let w(q) = 9*q + 8. Let u be w(t). What is the third biggest value in 1\/3, u, 12?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -194*y + 363*y - 184*y.\nAnswer: -15*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = a**3 + 20*a**2 - 24*a - 36. What is s(-21)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 716451 to the power of 1\/3, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -116418, -16, -1, 3 in descending order.\nAnswer: 3, -1, -16, -116418","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1432?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 15402524524 + -4?\nAnswer: 15402524520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4 + 5 - 5)*(9 - 24*q + 8 - 17) to the form z + v*q and give v.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*a**3 + 22*a**2 - 41*a**2 + 19*a**2.\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 117*b - 1854 - 808 = 3539 for b.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 19 + -16. Let g be v*-2*5\/(-10). Suppose 0 = -l - 4 + 3, -g*a - 4*l + 32 = 0. What is the smallest common multiple of a and 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 33367 - -502. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -4, -1, -5 in ascending order.\nAnswer: -5, -4, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1154528963 to the nearest integer?\nAnswer: 33978","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand -10*f**5 - 27*f**5 + 6*f**5 + (f**4 - 4*f**3 + 4*f**3)*(-f - f + 4*f) - 547 + 579*f**5 - 1160*f**5 - f**2 + 583*f**5.\nAnswer: -27*f**5 - f**2 - 547","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 3424.389 to the nearest ten.\nAnswer: 3420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 62, 76, 106, 158, 238?\n\"Answer: s**3 + 2*s**2 + s + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 349237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v = 4*v + 553. Is (-14)\/(-35) + v\/(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6\/(2 + 0)*592\/48 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tmtmtmvvvvv. Give prob of sequence mv.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 2*f - 5. Suppose -f = 6*i + 20. Let v = i - -18. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 3*b**3 - 4*b**2 + 4*b. Let m be (-9 - -5)*-2*(-1)\/(-2). Let z(y) = -6*y**3 + 9*y**2 - 9*y. Determine m*z(l) + 9*p(l).\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 0, 3 in ascending order.\nAnswer: 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 132*h**2 - h. Let o be g(-1). Let d be ((-48)\/72)\/(2\/(-9)). Suppose -d*v = -o - 245. What is the greatest common divisor of 18 and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -17 + -22. Let z = m - -74. Is z a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*x + 10*x + n + 200, 4*x + 4*n + 408 = 0. Let k = x + 223. Which is bigger: 127 or k?\nAnswer: 127","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4\/7, -16, -0.1, -0.5 in decreasing order.\nAnswer: 4\/7, -0.1, -0.5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o = 10, w + 2*o - 13 = 4*o for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 43707249 and 6993.\nAnswer: 999","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + sqrt(192))*6 + -4 + -4)**2.\nAnswer: -768*sqrt(3) + 6976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1.315734 - 1.3259. Round u to 3 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (2\/(-4))\/(3\/168). Let a = m - -47. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 633 + -630. Let s = 1.2 - 1.5. What is the nearest to y in s, -0.5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 3, b: 9}. Give prob of picking 1 b and 1 g.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 892358927 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 2400234204 to the power of 1\/3, to the nearest integer?\nAnswer: 1339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 393472228?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 703105523 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 91*c**2*f**4 + 2*c**2*f**3 - c**2 + 2*c*f**4 + 3*c*f**2 - 106*f wrt f.\nAnswer: 2184*c**2*f + 12*c**2 + 48*c*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 5, -2\/7, -2\/71, 1, 4.22?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 19013*d**2 - 16726*d?\nAnswer: 38026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 26\/759 and -101\/132?\nAnswer: 3036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 310 minutes before 10:16 AM?\nAnswer: 5:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Do -12767 and 0.3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2 + 6. Let j = -96 - -56. Let n = j - -40. Which is the second biggest value?  (a) m  (b) n  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/3?  (a) 5  (b) 2  (c) 3  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 147, -5, 0 in decreasing order.\nAnswer: 147, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-62)\/(-2)*(-6 + -3). Let k = 609 + g. List the prime factors of k.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fh when two letters picked without replacement from {y: 2, h: 1, f: 1, s: 1, q: 4}.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -15.1 + 3.1. Let p = 8 + f. Which is the biggest value?  (a) -1\/6  (b) 1\/2  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(136)*-6*-3)\/(2*sqrt(128)*-2)*4.\nAnswer: 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1.9 + -0.9. Which is the nearest to v?  (a) -3  (b) -0.1  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3 - -4) + (((-1375)\/(-35))\/11 - 2)?\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*h**5\/3 - 185*h**4\/3 - 640*h**3 - 1460*h**2\/3 + 35200*h\/3 - 15360 = 0. Calculate h.\nAnswer: -16, -9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -31*k - 42. Let n be i(-2). Suppose 2*w + 0*b + 9 = b, -24 = 4*w - 4*b. Let g = w - -3. Solve 4*c + g*c = -n for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -2\/3743748569?\nAnswer: -2\/3743748569","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -172, -476, -990, -1720, -2672, -3852, -5266?\nAnswer: -6920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*k**2 + k**2 - 3*k**2)*(7 - 9 + 1) as t*k**2 + m*k + n and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 59 - 26. Suppose -z*y + 38*y = 2895. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 8\/253 and 71\/207.\nAnswer: 2277","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from oxggtxxtgtxx. What is prob of picking 2 g?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 2053*-5\nAnswer: -10265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m - 3062 - 1198 = -2*s, -2*s + m = -4266. Calculate the remainder when s is divided by 61.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.1878 to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -73*m - 1566998*y + 1567001*y - 347, 4*m - 4*y = 4 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:35 PM and 4:27 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 627236 - 13164835\/21. Let g = 339 - h. Let c = -6.7 + 7. Put 0, g, c in increasing order.\nAnswer: g, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*h + 320 + 12*h + 8*h**3 + 157*h**2 - 3*h - 158*h**2.\nAnswer: 8*h**3 - h**2 + 11*h + 320","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 67 = 4*r + 5*n, 2*r = r - 3*n + 22. What is the remainder when 58 is divided by r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3567*x**2 + 13*x - 24*x + 36*x - 25*x.\nAnswer: -3567*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -94*l**2. Let x(u) = -6*u - 2. Let g(h) = 38*h + 12. Let v(d) = -g(d) - 6*x(d). Determine o(v(m)).\nAnswer: -376*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f**4\/2 - 78*f**3 + 99810*f**2 - 8110752*f - 34044576 = 0. Calculate f.\nAnswer: -316, -4, 134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f = 5*m - 197, -f - 162 + 1 = -4*m. Is 4 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (sqrt(5) - ((sqrt(420)\/sqrt(7))\/sqrt(12))**2) - (sqrt(25)\/sqrt(125) + (2*sqrt(5) + sqrt(5) + -4)**2).\nAnswer: -70 + 124*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4, 2, 0, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -28660245 + 0?\nAnswer: -28660245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 117 - 113. What is the second biggest value in -2\/7, d, 5, 1\/7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 253 and 18958049.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = d**3 - 5*d**2 - 6*d + 1. Let n be l(6). Let r(z) = 2*z - 4. Let w(c) = 155*c - 304. Let y(t) = n*w(t) + 3*r(t). Differentiate y(k) wrt k.\nAnswer: 161","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9156352?\nAnswer: 2, 47, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y + 3*g + 7 - 1 = 0, -5*y - 3*g - 6 = 0. Let m(r) = -r**2 + 10*r + 134. Let a be m(17). Solve 3*t + y = -a for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = 2*b + 3. Let r be 3 + (-9)\/(-3) + -3. Let f be o(r). Is 8 equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2024 is divided by 665.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from seeyieeyyeee. Give prob of sequence yyys.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 4*d - 4. Let o(f) = -f + 1. Let s = 8 + 0. Let g be 54\/24 + (-2)\/s. Give g*j(y) + 7*o(y).\nAnswer: y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3 - 0) + (-1 - 0 - -4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 1\/4  (b) 10\/3  (c) 1  (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -87923 - -790063\/9. Let h = -138 - u. Let x = -77 - -78. Which is the nearest to x?  (a) h  (b) -0.2  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) be the second derivative of -2*q**3\/3 + 9*q. Let m(o) be the first derivative of 3*o**2\/2 + 6. Determine m(i(v)).\nAnswer: -12*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1508312*b**3 - 21*b**2 + 1769*b - 9?\nAnswer: 9049872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-128040)\/75180 + (-4715)\/161 + 31?\nAnswer: 2\/179","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + 70 + (-18 - (-33 + 42 + -8)).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-6)\/(-5))\/((-2)\/(-10)). Let n(d) = -d**2 + 7*d - 7. Let i be n(4). Which is smaller: c or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.024 - 0.0239983. Round y to seven decimal places.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -6204, -12416, -18632, -24852, -31076, -37304?\n\"Answer: -2*b**2 - 6206*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -35 - 1 - (-53 + 110 - 25)\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*k = -1919 - 461. List the prime factors of k.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -2*g**3 - 32*g**2 + 74*g + 110. Does 22 divide j(-22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -212212112 + -112?\nAnswer: -212220001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 63 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -397.083034 times -2\nAnswer: 794.166068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = k + 1. Let w(j) = 17*j + 20. Let f(m) = -141*m - 7 - 131*m + 266*m. Let r(b) = 11*f(b) + 4*w(b). Suppose 5*d + 6 + 9 = 0. What is d*y(q) + r(q)?\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is w in -4*w**3 - 325118*w**2 + 7967534*w - 20976432 = 0?\nAnswer: -81304, 3, 43\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -196*n**2 - 508*n - 312.\nAnswer: -4*(n + 1)*(49*n + 78)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 70092715 and 1400.\nAnswer: 2803708600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-4)\/10 + 101\/257. Let l = u - 129659\/17990. Find the common denominator of l and (-197)\/(-414) - 26\/299.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = 2*s - 2. Let k(q) = 3*q - 5. Let r be k(2). Let h be v(r). Is h equal to -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 4.174 - -0.226. Let a = 134599989.39999996 + -134599985. Let b = a - l. What is b rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*q - 44 + 9 = 0. Suppose q*c + 197 = 3*d, 2*d + 0*d = -4*c - 140. Is 2 >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20583*p - 3*v + 15 = 20581*p, -5*v = p + 14 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from dpndwwdwxpddddxwwpd.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 1192724 > 1192723?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**13)**(-36)*(((k*k**(-17))\/k)\/k*k)**(-10))**(3\/13) assuming k is positive.\nAnswer: k**(-894\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 608 - -202. What is the greatest common factor of 9 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*l = -14*l - 19212. Let s = l + 1015032\/317. Is 1 not equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*-1*-2*sqrt(2835))\/((sqrt(70)\/sqrt(40) + sqrt(7) - sqrt(7)) + sqrt(7) - sqrt(28)\/sqrt(4)*-4).\nAnswer: 108*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -1431*a + 1429*a + 3*t - 12, a = -2*a - 5*t + 20 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9469618 is divided by 1015?\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) be the first derivative of i**2\/2 + 9*i - 5. Let j be u(-4). What is the second derivative of 0*d**2 + 0*d**2 - 5*d + j*d**5 + 6*d wrt d?\nAnswer: 100*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (q**4 - 16*q**4 + 5*q**4)*(3 + 0*q - 4*q - 4).\nAnswer: 40*q**5 + 10*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = s**3 + 10*s**2 + 8*s - 5. Let a be i(-9). Sort -4, a, -48 in ascending order.\nAnswer: -48, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1 - 16. Let c be (-1)\/(-3) + (-2995)\/t. Suppose -2*r + c = -434. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3*66\/(-126) - 6\/(-14)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 841776.5l in millilitres?\nAnswer: 841776500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1506 - -2050. Let w = -19389 + 28127. Suppose w = 2*q + j. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-4)\/(-12 + 4 - -38). What is the nearest to -39 in 0.3, p, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w + b + 656 = 5*w, -3*w - b + 392 = 0. Suppose -7*n + 2*n = -f + w, 5*n + 524 = 4*f. Let i = 1032 + f. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.78 + -3887940\nAnswer: -3887940.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (15\/(-2))\/((1\/(-4))\/(55\/(11550\/140)))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -r**2 - 10*r - 2. Let x be l(-11). Let b be 10\/4*(-1 - x\/5). Put -4, 5, b, 2 in ascending order.\nAnswer: -4, 2, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -3*c**2 - 25*c - 8. Suppose -l - 4*l - 5*d = 35, -4*l + 5*d = 37. Let y be w(l). Solve y = -4*k - 2*o + 10, -5*k + o + 0*o = -2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 33 and 231.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 28 is divided by 24.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 = v - 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ijuu when four letters picked without replacement from izjjuijijuujiiii?\nAnswer: 1\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 55.56618 minutes in microseconds?\nAnswer: 3333970800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in three fifths of a century?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0 and -18045.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -76698*z + 318408*z - 5452*z + 328189*z.\nAnswer: 564447*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 1*-16123\nAnswer: -16123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.9 - 1.2. Which is the nearest to -1?  (a) -0.1  (b) 0.4  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 67024380 to the power of 1\/2, to the nearest integer?\nAnswer: 8187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 7301*k**4 - 3*k**2 + 35*k - 39 wrt k.\nAnswer: 175224*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is r in -1\/4*r**4 - 1\/4*r**5 + 1\/4*r**3 + 0 + 1\/4*r**2 + 0*r = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (14\/(-6))\/(16\/12 + -1). List the prime factors of ((-1)\/(-2))\/(i\/(-41286)*3).\nAnswer: 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - ((-3 - -5) + 1 - -6).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(224))\/sqrt(8).\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -2*i**2 - 24*i + 2735. What is p(-53)?\nAnswer: -1611","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, 4, -79, 0, 2\/411.\nAnswer: -79, 0, 2\/411, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 255946*-0.18.\nAnswer: -46070.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -26 - 0.0747.\nAnswer: -26.0747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*g - 2 - 4. Let a be (-327)\/(-15) + g\/15. Suppose -2*w = -z - a, -4*w - z + 22 + 22 = 0. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*sqrt(108)*-1)\/(2*sqrt(4)*-3).\nAnswer: -5*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -239 - 370 = 60*b + 229 + 962 for b.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vvvvvvvbvbvbbvbbqv. What is prob of sequence qv?\nAnswer: 11\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 16012 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let -87\/2*w + 7\/2*w**2 + 18 = 0. Calculate w.\nAnswer: 3\/7, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = 130*c**2 + 1745*c + 7. Calculate t(-12).\nAnswer: -2213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n - 3*n + 20 = 0. Suppose 16 = -z + n*z. Let i = 2 + -2. Solve i = 2*q - 3*q - z for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -21.79851985 - -17.7985199. Let d = 3 + 1. Let h = d + r. What is h rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h = t - 6021, 5*t - 23 + 18 = 0. Suppose -597 = -c - o, -2*o + 6*o = -2*c + h. Does 37 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = 5*z**3 + 16*z**2 - 66*z. What is the hundreds digit of i(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -a**3 + 132*a**2 + 9*a - 18160. Determine m(131).\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-86 - -93) + 7 + 4 + -8 + 6 + -34.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -h**3 - 27*h**2 + 17*h - 36. Calculate u(-28).\nAnswer: 272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = b**2 - 3*b + 2. Let d be x(3). Let f(r) = -r - 1. Let j be (-1)\/((3 - 0)*(-7)\/(-21)). Let t(s) = -3*s - 1. Give d*f(w) + j*t(w).\nAnswer: w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:30 AM and 11:53 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zvg when three letters picked without replacement from vvzvbvzgg.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 7530?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -4 + -400?\nAnswer: -404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express 2423637 - 2423637 + 1335*d in the form x*d + h and give x.\nAnswer: 1335","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/3?  (a) 259  (b) -510  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -39 - 18 = -19*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) be the third derivative of -31*r**4\/8 + 443*r**3\/2 + 536*r**2 + 4*r + 2. What is the derivative of i(v) wrt v?\nAnswer: -93","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -o**3 + 11*o**2 + o - 3. What is b(11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor q**3\/5 + 24*q**2\/5 + 119*q\/5.\nAnswer: q*(q + 7)*(q + 17)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -750 + 377. Let v = s + 1413. List the prime factors of v.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3.8 + -0.2. Which is the nearest to -0.1?  (a) 0.06  (b) -5  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) be the third derivative of o**8\/2240 + 43*o**5\/60 + o**3\/3 + 4*o**2 + 13. Let s(t) be the third derivative of v(t). Let r(d) = d. Calculate r(s(n)).\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = u**2 - 37*u - 3636. Determine r(-43).\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 1. Let d(q) be the third derivative of 0 + 4\/3*q**3 + 1\/12*q**4 + 0*q - 8*q**2. Let b(u) = u - 8. Let r be b(7). Determine r*d(v) + 10*f(v).\nAnswer: -2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -7\/6 and 13\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 528 minutes after 4:00 PM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*b**3 + 5198*b**2 - 3379998*b + 3374802.\nAnswer: -2*(b - 1299)**2*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.07477 + 0.075. What is u rounded to four decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 5 = 5. Factor x + 1\/2*q**2 - q.\nAnswer: q*(q - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 63159151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from stcuwns. What is prob of picking 1 s and 1 c?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.025 times 3439049?\nAnswer: 85976.225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 44178330 to the nearest one million.\nAnswer: 44000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 2*l + 3. Let u be w(-4). Let d be 1\/(-5)*u\/(-2). Let j = -35 - -247\/7. Is d <= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.28 + 0.02. Sort 0, 6, j in increasing order.\nAnswer: 0, j, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) 24  (b) -0.5  (c) -2  (d) 2\/13  (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6564488 is divided by 4359.\nAnswer: 4193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s = 2*l - 30, 4*l - 5 = -l. Let f(i) = -i**2 - 1. Let t be f(-3). Let y = t + s. Solve -3*q - y*c + 5 = 0, 2*c - 3*c + 15 = -2*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*n**4 + 652040*n**3 - 21257156030*n**2 - 42516268200*n - 21258460125.\nAnswer: -5*(n - 65205)**2*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 - -2) + (-1587 - -1582)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is (45 - 0) + -3 + 6 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) be the second derivative of 9\/2*t**2 + 0*t**4 + 0*t**3 - 3\/10*t**5 + 8*t + 0. Differentiate p(u) with respect to u.\nAnswer: -18*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 359101 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 140 + 22*a - 70*a + 14*a + 21*a + 12*a.\nAnswer: -a + 140","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 10 - 6. Let s = 58167.03 - 58167. Which is the closest to 1?  (a) -0.4  (b) s  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -3  (b) 0.32  (c) 5  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 43777.\nAnswer: 43777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.149 and 1.217.\nAnswer: 1.366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -127 = 4*w - 131. Which is smaller: w or -1\/1182?\nAnswer: -1\/1182","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:42 AM and 12:45 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -10 + 4211?\nAnswer: 4201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Determine l, given that l**3 - 2281*l**2 + 1295019*l + 6532245 = 0.\nAnswer: -5, 1143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -73690, -73669, -73620, -73537, -73414, -73245?\nAnswer: -73024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 190 - (73 + 73 - 47).\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o and 1 s when two letters picked without replacement from {g: 1, m: 1, s: 1, r: 1, j: 1, o: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = 2*l**2 + 7*l - 48. Let q be m(-7). Calculate the smallest common multiple of 22 and (q*4)\/((-77)\/(-1540)).\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 300215 and 58805.\nAnswer: 3095","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 195 = 3*a + 3*w, -w + 6 = 2*a - 130. What is the greatest common factor of a and 6319?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -9 + 13. Let p(z) = d*z**2 - 4 + 0*z - 4*z + 3*z + z**3. Let u be p(-4). Is -1 <= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -73\/6 or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 230318056?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -208 = -g - g. Let u = -161 + g. Let l be 1*-1 - 63\/u. What is the nearest to 0.2 in -0.4, 0.5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 209, 4, -1.\nAnswer: -3, -1, 4, 209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = 5*k**3 - 5*k**2 - 2. Let h(f) = 6*f**3 - 4*f**2 - 2. Calculate 4*h(a) - 3*i(a).\nAnswer: 9*a**3 - a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Product of -5 and 108165645.\nAnswer: -540828225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4345.\nAnswer: 5, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 30 and 2661300.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -29 + 31. Let m be (-705)\/(-94)*l\/5. Sort -1, 1, -22, m in ascending order.\nAnswer: -22, -1, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -192246*w**2 + 632944*w - 1562912\/3 = 0. What is w?\nAnswer: 884\/537","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (6*sqrt(304))**2.\nAnswer: 10943","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5 + 4 + 0 - 179*u.\nAnswer: -179*u - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u\/u**(-18))\/u*u*u)\/(u*u\/u**(-9)*u)*(u*u**21)\/u**(-8) assuming u is positive.\nAnswer: u**38","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i = -4*r - 100, 10*r + 122 = 5*r - 4*i. Let g be (-4)\/r - (-344)\/44. Solve 2 = -2*b - g for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*r**6 - 23376*r**4 - 302042*r**2?\nAnswer: 240*r**3 - 561024*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.11 - 0.1. Let f = y - 0.12. Let j = 0.128 + f. Round j to 3 dps.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.02206414561 rounded to six decimal places?\nAnswer: 0.022064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-18)\/(-4)*-44*26\/(11 + -167).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 79\/222 and 74\/21?\nAnswer: 1554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-208 - (-128 + 103))\/(-3).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (q**2 - 3 + 3)*(-26*q + 8*q**2 + 26*q)*(5*q - 2*q - q) + q + 12*q**5 - q.\nAnswer: 28*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1853606417?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 171 minutes after 5:24 AM?\nAnswer: 8:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -5a75b (base 15) to base 3\nAnswer: -112122210112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 641681 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -3*y**2. Let m be q(4). Let f be 7\/(28\/m)*-1. Let j be (-20)\/(-40)*(-48)\/(-2). Calculate the highest common factor of f and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -e (base 16) in base 3?\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 16, -1, -231 in increasing order.\nAnswer: -231, -1, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 24995 and 74470103?\nAnswer: 4999","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d - 4*q - 90 = 0, 2*q = d - q - 92. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b = l + 70074 + 82871, -b + 50971 = 5*l. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -42, -2, 5, 1, -138418 in ascending order.\nAnswer: -138418, -42, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/7?  (a) 6  (b) 4  (c) -2  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 316 is divided by 27.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -10497 - -10870. Solve 0 = 3*c + r - 355 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 1386056, 1386052, 1386048?\n\"Answer: -4*z + 1386060","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -4 and 38873?\nAnswer: 38877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*k - 6*k + 6. Suppose m = -6*m - 14. Let g be 2 + -1 + (-4)\/3. Put k, m, g in descending order.\nAnswer: k, g, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.6157343 millimeters to meters.\nAnswer: 0.0006157343","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 420?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 38443.\nAnswer: 37, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: ((-14257)\/(-3551) - 4) + 6293\/335\nAnswer: 94\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) be the third derivative of -4*l**4\/3 + 25*l**2. Let v(m) = -2*m. Give v(b(u)).\nAnswer: 64*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 7 - 1. Let r = y - 3.3. Round r to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -6*r + 6. Suppose -18 + 2 = n. Let s(b) = -b + 1. Suppose 2054*u - 2047*u = 21. Give n*s(z) + u*t(z).\nAnswer: -2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8 - (20 + -5)) + -2 + -4 + 7.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 28277403 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -25054\/7 or -3580?\nAnswer: -3580","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) be the first derivative of m**4\/12 + 7*m**3\/6 - 6*m**2 + 6*m - 8. Let c(z) be the first derivative of r(z). Does 33 divide c(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -x**3 + 3*x**2 + 17*x + 3. Let i be h(6). Calculate the lowest common multiple of i\/(1068\/(-150) - -7) and 5.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 3*y - 2 + (-22 - 3*y + 22)*(-2 - 7 - 1))*(-2 + 1 + 2).\nAnswer: 33*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -126802, 3, 0, -5, 4, 2, -4 in descending order.\nAnswer: 4, 3, 2, 0, -4, -5, -126802","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 8491 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 44528 and 23?\nAnswer: 44528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 3*z**2 + 9. Let i(q) = -3*q**2 - 8. Let c be (6\/4)\/((-201)\/(-938)). What is c*i(l) + 6*a(l)?\nAnswer: -3*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 9980?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = z**2 - 3*z + 1. Let q(p) = -p**2 + 2*p. Let n(y) = -5*q(y) - 4*s(y). What is the remainder when 9 is divided by n(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + 2 + -5*(-2*sqrt(605)*-1 + -1)*5 + 3.\nAnswer: -550*sqrt(5) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4876?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = w**2 - 35*w + 37. Let c be h(34). Suppose 12*s + 3*m = 10*s - 1, -s = c*m + 2. Sort -3, -1, -2, s.\nAnswer: -3, -2, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 889166 to the power of 1\/2, to the nearest integer?\nAnswer: 943","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/(-1))\/(-1 + -6 + 1)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (4\/((-144)\/10))\/(((-2220)\/18)\/74)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) be the second derivative of d**5\/5 - d**4\/6 - 4*d. Factor x(v).\nAnswer: 2*v**2*(2*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -92.326388 to 0 dps.\nAnswer: -92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 748989.\nAnswer: 3, 83221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.03, 1\/3, 1, 2\/5, -2 in descending order.\nAnswer: 1, 2\/5, 1\/3, 0.03, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z = -11 - 13. Suppose 0 = 3*l + 4 - 49. Calculate the remainder when l is divided by z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 112686 is divided by 55702.\nAnswer: 1282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -17.17 - -18.17. Which is greater: -4488 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 263 - 227. Suppose -9*p + 10*p = h. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 + 68*b**2 + 4*b**3 - 70*b**2 + 7*b**4 - 4*b**4 + 3*b**4 - 4*b**4 to t*b + f + w*b**2 + o*b**4 + m*b**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand -36 + w**2 - 38 + 6 + (51 + 10*w - 51)*(0 + 0 + 2*w).\nAnswer: 21*w**2 - 68","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -2*x + 13. Suppose u + q - x = 4, -4*u + 5*q = -101. Calculate the highest common divisor of 209 and u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 1, d: 2, p: 1, t: 2, a: 1}. Give prob of picking 1 h and 1 p.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + -7 + 6 + (-26 - -44).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zzzzxjzieuz. What is prob of picking 1 u and 1 z?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -9.63 * 0.3\nAnswer: -2.889","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1.27 - 1.37. Sort k, -0.5, 3, -4.\nAnswer: -4, -0.5, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 10*y**3 - 34*y**2 + 36*y**2 - 5*y - 2 - 5*y**3 as g*y**2 + i*y**3 + b*y + t and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -7924 - -12125. What is the remainder when m is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -m + 11. Let z be s(7). Let p(g) = 10*g**2 + 5 + 2*g - 5*g + g. Is p(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10449*-0.36.\nAnswer: -3761.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -9*v + 3. Let u be m(-1). Find the second derivative of u*p - 3 - 7*p**4 + 3 + 8*p**4 wrt p.\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -153*n**5*w + n**3*w + 6*n**2 - 3*w wrt n.\nAnswer: -9180*n**2*w + 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -4586 - 13040. Is 14 a factor of b\/(-84) + (-2)\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:12 PM and 11:58 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -6*h**4 + 3*h**3*o**2 + 6*h**2 + 442*o**2 wrt h.\nAnswer: -24*h**3 + 9*h**2*o**2 + 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 14 - (0 + -5 - -17)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.45 and -4220.\nAnswer: -4219.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3 - 1)*(-107)\/(-535)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -14 - -23. Let s(f) = 4*f + 1. What is the remainder when s(4) is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 877654.341 to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 9, x: 5}. Give prob of picking 1 d and 1 x.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 431172 and 47908.\nAnswer: 431172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 5  (b) -12\/319  (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -16, 8, 1, 5, -18943 in decreasing order.\nAnswer: 8, 5, 1, -16, -18943","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*r*r**(-2\/7))**(-44)\/(r**4*r\/(r**(-6)\/r)) assuming r is positive.\nAnswer: r**(-612\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -c**2. Let f be -1*(-3 - -1) - 0. Let l(g) = -g + 6. Let r be l(3). Let v(d) = -r*d + 2 - f. Calculate v(x(i)).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:10 PM and 7:14 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1  (b) 0.5  (c) 0.022  (d) 21  (e) -2  (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -850, 1, 88, 16 in descending order.\nAnswer: 88, 16, 1, -850","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i = -q + 629, -480 = -i - 3*i + 5*q. Is (i\/10)\/(-5)*4918\/(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4536367 is divided by 67.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 167221472 and 6248?\nAnswer: 167221472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 2*t + 5. Let f(b) = 6070*b - 1752. Let w(i) = f(i) - 12*q(i). What is the derivative of w(n) wrt n?\nAnswer: 6046","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1.64?  (a) -3  (b) -2\/7  (c) 2  (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 16, 23, 1144, -0.1.\nAnswer: -0.1, 16, 23, 1144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 - 5*i**2 - 5 + 3 + 3*i**2 - 90*i.\nAnswer: -2*i**2 - 90*i - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bchbqqpbbwhwbpqqbwq. What is prob of picking 2 q and 2 w?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (-9)\/7*(-3892)\/417?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(243) - sqrt(243)) + sqrt(3)*-4*4 + sqrt(3))**2.\nAnswer: 675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -3*i. Let y(c) = -439 + 439 - 4*c**2 + 2*c - 2*c. Determine y(o(u)).\nAnswer: -36*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 651.9 + -850.9.\nAnswer: -199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 12868999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7*t - 5*t + 8*t + (-4 + 5 + 0)*(3*t + t - 5*t) - 6 + 6 - 5*t - 2*t + 0 + 2 + 4*t)*(-1 + 1 + 1)*(-t + 3*t + 0*t).\nAnswer: 12*t**2 + 4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1082073?\nAnswer: 3, 373, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -3412153 divided by 4\nAnswer: -3412153\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = 3*m + 8 - 4 - 4. Let b(d) = 23*d - 12. Let w(g) = -47*g + 26. Let x(y) = 13*b(y) + 6*w(y). Determine x(a(t)).\nAnswer: 51*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 4.971 + -4.771. Sort r, -5, 3.\nAnswer: -5, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = s + 3*s - 4. Let u = -3 + s. Let o(a) = -13*a**3 - a**2 - 4*a - 3. Let q be o(u). Calculate the highest common factor of q and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = o**3 - 5*o**2 + 2*o - 6. Determine y(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -396562 or -396912?\nAnswer: -396912","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out -37184382279719 + -0.3.\nAnswer: -37184382279719.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -14  (b) -2  (c) 2  (d) -61\/19  (e) 1120\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b*(b\/(b*b**(6\/5)\/b))\/b)**(-19))**35 assuming b is positive.\nAnswer: b**133","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 352435860 to the power of 1\/3, to the nearest integer?\nAnswer: 706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -5, 1, 2, 54 in descending order.\nAnswer: 54, 3, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = z + 1. Let w(p) = -3*p - 2. Let u(a) = -4*r(a) - w(a). Give u(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) be the second derivative of -u**5\/20 - 7*u**4\/12 + 3*u**3\/2 + 3*u**2 + 341*u. Give j(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 + 0 - 1)*(-18*a + 25*a + 216*a + (4 - 4 + 2*a)*(2 - 7 + 3)).\nAnswer: 1095*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -95, -160, -225?\n\"Answer: -65*u - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 10221*a**3*l*t**2 - a**2*l**2*t + 3462*l**2*t**2 - 3*t**2 + 2 with respect to a.\nAnswer: 30663*a**2*l*t**2 - 2*a*l**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1556\/7 + -306574\/1379. Let z = 173\/788 - v. Find i, given that -3\/4*i + 0 - z*i**2 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 137*n**6 - 4*n**4 + 2*n**2 - 963.\nAnswer: 16440*n**3 - 96*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 8649 divided by -3?\nAnswer: -2883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:21 AM and 2:25 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 231630 to the nearest integer?\nAnswer: 481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 90\/(-68)*38580\/(-144675).\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 11 - -32514205?\nAnswer: 32514220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Determine g, given that 3\/4*g**2 + 3*g + 0 = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.11 + 0.02. Let m = n - -0.29. Which is the nearest to m?  (a) 0.4  (b) 8\/5  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -11 - 4 - (-9 - 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -16 - -19 - (9 + 1). Let m be (15\/(-6))\/(3 + c\/2). Suppose 2*f - m*f = -3*w + 36, 0 = -2*w + 4*f + 16. Solve 5*k + w = -v, 3*k + 3*v - 5*v = -20 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + 4 = 0, 2*j = 3*j + 4*c + 17. Let g(d) = -67*d + 37*d + 31*d + 0 - 1. Give g(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7244 + 12816 = 295*v - 23*v - 567*v for v.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 6, -19, -16, -33, 4 in decreasing order.\nAnswer: 6, 4, -1, -16, -19, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 857 - 483. What is the greatest common factor of 22 and p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/7, -0.078, -2\/403, -7 in ascending order.\nAnswer: -7, -0.078, -2\/403, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 193 a factor of 133556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 438006 is divided by 145274?\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28 = 11*h - 7*h. Let m = -2 + 6. Suppose m*t - 3*n - 27 = 0, n + 1 + 1 = -t. Put h, t, 5 in increasing order.\nAnswer: h, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1300 (base 6) to base 14.\nAnswer: -192","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -7*q + 12*q + 3 - 2 - 3*q + q**2. Suppose -4 = 4*d - b, -2 = -0*d + 2*d - 5*b. Give s(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 273 and 33847632?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 372.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 4 + 1 + (-24 + 35 - 42)*(-3 - 4 + 4))*(2*k + 2*k**2 - 2*k).\nAnswer: 182*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = t + 1. Let h be b(-1). Solve -n + 4*n + 3 = h for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1.3, 2615, 3, -3\/4, -3\/5?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-3)\/(9 + 6) + (-447)\/15. Let q = -27 - v. What is the highest common factor of q and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = g + 1. Let q be h(0). Let r be ((14 - -2)\/(-1))\/q. Let i = 18 + r. What is the least common multiple of i and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.2 + 0.1. Let d = -182 + -99. Let n = 3093\/11 + d. Is z bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (572\/117 + -5)\/((-4)\/16).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) be the second derivative of d**4\/24 + 73*d**3\/4 + 945*d**2\/2 + d + 3481. Determine y, given that u(y) = 0.\nAnswer: -210, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 52682 minus -217.73088?\nAnswer: 52899.73088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((x**(2\/21))**(4\/7))**(-2\/9))**(-1\/54))**(-17\/7) assuming x is positive.\nAnswer: x**(-136\/250047)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (6 - (-12)\/(-3)) + (-7)\/5. What is the closest to -7 in s, -0.2, 0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3 by -522.\nAnswer: -1\/174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 21*k + 6. Let i(m) = m + 3. Let f(p) = -18*p + 5. Let s(z) = f(z) - 4*i(z). Calculate 7*r(w) + 6*s(w).\nAnswer: 15*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6)\/(5 - ((-15)\/3 - (-92)\/8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m + 160 = 3*m. Suppose -4*j + 3*j - m = 0. Let o = j + 115. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.006 and 6.4.\nAnswer: 0.0384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 33 (base 15) to base 5.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5 + 0 + 6)\/(-2 + -1).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 133 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: Let q be (-11)\/(66\/810)*16. Round q to the nearest 100.\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3, -35, -87, -159, -251, -363, -495?\nAnswer: -647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 73, 75, 77, 79, 81?\n\"Answer: 2*p + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*k - 43*k + 44 = 0. Suppose k = f, 47*r - 5*f = 52*r - 840. What are the prime factors of r?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/15 of a hour in seconds?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.52814 and -2.\nAnswer: 1.05628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fdqqkukufdqqq. What is prob of picking 1 q and 1 k?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 15844141 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-8 + 11 + 8)*((1 + 0 - 2)*(1 - 1 + 2*m) + 3*m + 1 - 1 - 2*m + 2*m + m)*(-2357 + 1179 + 1186) to the form i*m + j and give i.\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -22 - 1011?\nAnswer: -1033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -10.7 times -3939.4\nAnswer: 42151.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 181534889 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express 25*q + 3*q**2 - q**3 - 25*q in the form a + m*q**3 + s*q + l*q**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 0.3 * 93\nAnswer: 27.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 40*l + 6*l = -322 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m = -7*m. Let x(o) = 2*o + 2. Let i be x(m). Suppose 35*u = 40*u - 10. Solve -u*j + 0*c - 14 = i*c, 5*j = 2*c for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 41113, 82356, 123599, 164842?\nAnswer: 206085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.31 and 18567.\nAnswer: 18567.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -5*j**3 - 62*j + 1008 wrt j?\nAnswer: -15*j**2 - 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 2\/((-24)\/49) - 3 and -5\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x + 4 = 6*x. Let m be (x\/16)\/((-69)\/6). Sort 2\/13, m, -2\/7 in ascending order.\nAnswer: -2\/7, m, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -8 - -24. Calculate the smallest common multiple of x and 4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cl when two letters picked without replacement from {h: 1, c: 1, l: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -12809, -15463, -22673, -36719, -59881, -94439?\n\"Answer: -380*n**3 + 2*n**2 - 12431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9937.37um to kilometers.\nAnswer: 0.00000993737","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -17003, -18017, -19029, -20039, -21047?\n\"Answer: q**2 - 1017*q - 15987","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 10*m**2 - 3*m - 1. Suppose -1 = 3*i + 8. Let f(a) = a**2 - 1. Let o(s) = i*f(s) + l(s). What is the remainder when o(2) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 3083a + 4?\nAnswer: 3083e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*y + 42 = -6. Do -20 and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.8 in 9\/20, 8, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:55 AM and 1:46 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -l**3 + 9*l + 6. Let h be i(0). Solve -5*z + h*j - 10 = j, -5*z - 16 = -3*j for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -58 + 72.2. Let d = -1529.891 - -1544. Let p = h - d. Round p to two decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3045130 and 470.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h = -3*h + 5*h + r, -4*r + 109 - 295 = -75*h + 82 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -r**2 + 86*r + 548. Let l be y(-6). Sort l, 0, -52, 5, 6.\nAnswer: -52, l, 0, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2acc9 (base 13) to base 10\nAnswer: -81285","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1643 and 55087.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1954367890.69 + -0.1.\nAnswer: 1954367890.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -52\/1713 and -37\/6.\nAnswer: 3426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = 2*r**2 - 4*r + 2. Let g be q(2). Suppose 0 = -g*a - 4*d + 4 + 4, -5*a + 48 = -4*d. Solve 0 = 3*u + u + a for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 32815 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -21469 divided by -408?\nAnswer: 21469\/408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 1\/16 of a centimeter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -c**2 + 9*c + 1. Let q be h(7). Let x = -15 + q. Factor 6\/7*f**3 + 4\/7*f**2 + 0*f + x - 10\/7*f**4.\nAnswer: -2*f**2*(f - 1)*(5*f + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 3*o - 1. Let r be (2\/(-3))\/((-11)\/66). Let u be 2\/(-4) - (-18)\/r. Give t(u).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21 - 9 = -6*l. Suppose l*k + 1492 = 3*j, 8*j = 7*j + 5*k + 514. Let g = -2941\/6 + j. Is g >= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -57826 divided by -57826?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -64 - -64.1. What is the closest to k in -2\/7, 2\/15, -1?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (390\/(-25))\/(-13) - (-372)\/(-285)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3837 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = 21*u**2 - 3. Let v(c) = -28 + 9 - 2*c + 8 + 11. What is i(v(d))?\nAnswer: 84*d**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/(-7))\/(16*3\/(-84)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 546\/(-24) - (-1)\/(-4). Let u = q + 25. Suppose -5*b + 71 = -4*i - 352, -b = u*i - 79. Is b a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 774920 is divided by 38.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 692 - 263 = 0. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 26187 is divided by 135.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 128167057*d - 268093590 wrt d?\nAnswer: 128167057","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -104, -105, -106, -107?\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 405050?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((((v**(-13)\/v*v*v)\/v)\/v)\/v**21)**(5\/4))**(-16))**(17\/2) assuming v is positive.\nAnswer: v**5950","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -9*h**2 + 5. Let w(p) be the second derivative of -4*p + 3\/2*p**2 + 0 - 1\/3*p**4 + 0*p**3. Let f(u) = 4*s(u) - 7*w(u). Differentiate f(r) wrt r.\nAnswer: -16*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*v + 6*v = -4515 + 4445 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 30567*s**2\/7 - 2*s\/7.\nAnswer: s*(30567*s - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1300361?\nAnswer: 83, 15667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 - u + 0 + (-3 + 44 - 7)*(9*u - 4*u - 4 + 1))*(-u + u - u) to z*u**2 + s*u + j and give s.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -t + 52. Let o be a(0). Let z be (-1 - o)*(-3)\/1. Suppose -7*y + 4*y = -z. What is the remainder when y is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -37915 - -38077. Suppose -116 - 99 = -5*p. Calculate the remainder when b is divided by p.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/4 in 1\/3, -0.85, 4, -2\/11, 12?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(68) - sqrt(68)*-2)*6 + (-2*sqrt(68) + sqrt(68))*3)\/((sqrt(132)\/sqrt(176))\/(sqrt(21)\/(sqrt(7)*1))).\nAnswer: 60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2)\/((-2)\/2 + -9). Sort 4, l, 1 in descending order.\nAnswer: 4, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1769 = 1233*y + 1279*y - 2573*y for y.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 110 a factor of 132990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 - 1 + 1)*(v**2 + 2*v**2 - v**2)*(-16*v**2 + 11*v**2 - 4*v**2) in the form s*v + h*v**4 + f + r*v**3 + t*v**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -b**3 - 7*b**2 - 4*b + 5. Suppose -v - 4*v = -2*u + 28, 3*u - 9 = 2*v. Let f be o(v). Let h be (-4 - f) + -5 + 2. Sort 5, h, -4 in descending order.\nAnswer: 5, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 44*b + 23574 = 497*b + 5981 - 16835 for b.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b*b**(-7)*b*((b\/b**(-1\/2))\/b*b)\/b)**17)**(-16\/9) assuming b is positive.\nAnswer: b**136","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide 730556588 by 215758.\nAnswer: 3386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 3, n: 3}. Give prob of picking 3 n.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 minutes after 7:29 PM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 5039 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000026069 to 6 decimal places.\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.2, 1\/3, 5, 1.02, 0.06, 2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -4*j**3 + 15*j**2 + 37*j + 13. Calculate l(7).\nAnswer: -365","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 7\/16 + 5\/16. Which is the nearest to 0?  (a) 0.2  (b) m  (c) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -6.4 + -2.2. Let v = -11.3 - p. Let g = v - -2.7. What is the closest to g in -1\/2, -3, -4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9451 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: Let n = -31 - -58. Let o(q) = q**3 - 8*q**2 - 6*q - 12. What is the remainder when n is divided by o(9)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(891) + sqrt(891)*1 + 3 + 2 + 3*sqrt(891)*2 + -5)*5)**2.\nAnswer: 1425600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*u + 105 = -45. Suppose 0 = 5*y - 0*y - u. Solve -2*o - 3*d = -d - 10, 0 = -3*o - y*d + 25 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 500 and 13700.\nAnswer: 68500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 42*q**2*w**2 - 12*q**2*w - 407*q*w**5 - 20*q*w**2 + 9*q*w - 20319 wrt w.\nAnswer: 84*q**2 - 8140*q*w**3 - 40*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -1273, -2821, -4655, -6781, -9205?\n\"Answer: -j**3 - 137*j**2 - 1130*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -4*u - 1. Let s be b(-1). Solve 3*n**2 - s*n**2 - n**2 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -102311032000 (base 4) to base 2.\nAnswer: -10010110101001110000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**(-3)*a**41 assuming a is positive.\nAnswer: a**38","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:30 PM and 5:51 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -50 + 35. Let l = w - -21. Is l\/(48\/5764) - (-3)\/(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -0.2  (b) 105  (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1952 and 352?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 21 and 7707?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3177431943.6 + -0.162.\nAnswer: -3177431943.762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1547 - -2910. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = 2*y. Let c be ((-378)\/49 - -8) + 4\/(-14). Let g be n(c). Solve f - 4*r + 1 = 0, -3*f + g*f = 4*r + 19 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u = -2*g + 25, 2*u + 3*u = -5*g + 10. Let w be u + -9*(-5 + 4). Solve 2*o - w*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35 = 2*r - r. Suppose 0 = -2*q - 2, 3*n + 4*q + r - 487 = 0. Suppose 0*y = -4*z + 5*y + n, 5*y - 112 = -4*z. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1\/4  (b) 77  (c) 103.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 3*z**2 + 9*z - 37. Let m = 22 - 31. Let s be b(m). Let w(x) = s*x - 252*x + 126*x. Let v(g) = 4*g. Determine v(w(t)).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*sqrt(225)\/sqrt(5))\/sqrt(9) + (sqrt(30)\/sqrt(2))\/sqrt(3) + (-1 + sqrt(5))*5.\nAnswer: -5 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b + 3*h = 422, 6*h - 4*h = 5*b - 402. Let p = b + -70. Solve -5*k + 28 = 3*d - d, 3*d = p for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -217, -219, -221, -223, -225?\nAnswer: -227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/((r*r*r**16\/r)\/r*r))\/r**27*r**(-21)*r*r**(-2\/113))**(5\/2) assuming r is positive.\nAnswer: r**(-35605\/226)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 776*f**3 - 2*f - 1273.\nAnswer: 2328*f**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*x + 68 = -310. Does 4 divide -3 - (x\/(-1) + 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 14994419 to the nearest integer?\nAnswer: 3872","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -z**3 - 3*z**3 + 0*z**3 - 2 + 3*z**3 + 14*z**2. Let l be k(14). Put 2, -4, l in descending order.\nAnswer: 2, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - (5 - 0 - 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2427400 and 17225.\nAnswer: 1325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qqj when three letters picked without replacement from tcxctgtjcqtctqttcxqt?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -456 + 456. Suppose -28*u + 553 + 483 = g. Solve -u*l + 35*l - 10 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -39091 - -40601. What is the lowest common multiple of p and 1510?\nAnswer: 1510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -3*c**2 - 6*c + 7. Let v be j(-7). Suppose 25 = 27*z - 2*z. List the prime factors of ((-6)\/4)\/(z*21\/v).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = a**3 - a**2 + 5*a - 1. Suppose 0 = 4*m - s - 31, -3*s + s - 34 = -4*m. Let v be w(m). List the prime factors of v\/18 - (-18)\/(-81).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 61 divide 48123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*a**2\/5 + 1683*a\/5 + 1698.\nAnswer: -3*(a - 566)*(a + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 4146 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: List the prime factors of 1549324.\nAnswer: 2, 7, 55333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (5 - (-104)\/(-20))\/(2\/(-30)). Let h be 0\/(c\/18*9*-2). Calculate the remainder when 150 is divided by -5 + (40 + h - -3).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 13572 and 2132?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 59947.\nAnswer: 151, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = 12*y - 5*y + y**2 + 3*y + 11. What is the units digit of k(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10000111101101010101100 (base 2) in base 4?\nAnswer: 100331222230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*c + 73 + 34 - 107.\nAnswer: -12*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 7847?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -j**2 + 11*j - 28. Determine k(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 4049592?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 32618?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -115775 or -115773?\nAnswer: -115773","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0 - -4. Let q = 4 - 4. Suppose -l*x - x + 400 = q. Calculate the greatest common factor of x and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*s**3 - 584*s**2 + 27940*s - 435600 = 0.\nAnswer: 36, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -85*s + 71*s + 70. Solve -11*o - 80 = s*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 47, 49, 53, 59?\n\"Answer: j**2 - j + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = y - 0, 7 = a - y. Suppose a*l - 14 = -4. Suppose 0 = -4*m - 2*g - 8, -l*m + 2*g = 4*g + 8. Solve m = -p + 4*p - 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*t = 652*k - 657*k - 3*t - 8, 0 = -9*t + 36 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z - 3*t = t - 10, -49 = 4*z + 5*t. Let b(p) = -p**2 - 4*p + 2. Determine b(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*m + 2*s + 10, -3*s - 8 = -m - 0*s. Suppose o + 2*o = -l + m, -o - 18 = -2*l. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -12, -3, 26, 2, -105 in decreasing order.\nAnswer: 26, 2, -3, -12, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 less than -966270.16?\nAnswer: -966265.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2208*x + 120 - 2208*x + x**2.\nAnswer: x**2 + 120","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-3 - 0)\/(1\/(-3)). Suppose -u + 84 = 2*u + 4*j, 0 = 3*j + c. Calculate the remainder when u is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -8 - ((-26 - (-17 + -17)) + (4 - (39 + -3)))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -187215 - 12?\nAnswer: -187227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out -11987795 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 7, w: 8, o: 1, h: 2}. Give prob of sequence oh.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 176 less than 144?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 107168 and 3.\nAnswer: 321504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-30)\/(((-102)\/680)\/(2\/10)). Calculate the highest common factor of z and 680.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (4 - 3) + -49 + 58?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p - o = -8, 0*o - 2*o + 12 = 3*p. Calculate the greatest common factor of 14 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 840.793 decades?\nAnswer: 8407.93","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 36 and 384?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -33, -2\/7, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find d, given that -d**5\/6 + d**4 + 7*d**3\/6 = 0.\nAnswer: -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 161790200389 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1 - -630?\nAnswer: 631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d + 5 = d - 3*j, -2*d + 5 = -j. Solve d*p - 5*i + 5 + 0 = 0, -4*i = 3*p - 27 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 963528?\nAnswer: 2, 3, 19, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 32479574.4ns?\nAnswer: 0.000000053703","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -550 + 10?\nAnswer: -540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 81 and 36?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 7\/3 of a millennium?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 387*q**2 + 301*q.\nAnswer: 774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1823 + 1823 + 4*l.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -157*l = -108*l. Let m = -9 + 9. Which is the nearest to m?  (a) 0.3  (b) l  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 13?  (a) -2  (b) 5  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 365 a factor of 1331520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -141340 divided by -195.\nAnswer: 28268\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 s and 1 q when four letters picked without replacement from sepgegsppsaaqg?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 14558, 29139, 43720, 58301?\nAnswer: 72882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1827 - 1802. Calculate the greatest common factor of i and 85.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 14841, 29673, 44505?\nAnswer: 59337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2.94 - 2.06. Which is the third smallest value?  (a) -2\/13  (b) -1\/3  (c) y  (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -84167 and -84166 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 5*o. Let n(r) = 10*r + 3. Let f(c) = c - 1. Let i(g) = -6*f(g) - 2*n(g). Let x(l) = 3*i(l) + 16*s(l). Let a(w) = -2*w**2. Give x(a(q)).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 115 and 105133.\nAnswer: 525665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1*20\/(-8)*-2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8 - (0 - ((-1 - 3) + 0))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -z + 2. Let r be s(-3). Let f = 3 - r. Is (19\/2)\/((-1)\/f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/2 - 140\/(-196).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-6)\/(-4)*(-12)\/(-9). Let u = y - 0. Suppose 4*o - 110 = u*o. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*m - 5 = 3*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -78 + 21 + -25 + 28 + 13 + 0?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -s - 4*v - 12, 5*v + 795 = -4*s + 780 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 14.85672623 rounded to 1 decimal place?\nAnswer: 14.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 43*i + 5. Let r(k) = 21*k + 2. Let h(b) = 6*n(b) - 14*r(b). Let d be h(1). Let s = d - -38. Solve -4*v - s = -0*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32*j = -25*j - 14. Suppose 5*m - 42049998 = -0*m + j*z, -3*m - 2*z = -25230002. What is m rounded to the nearest 100000?\nAnswer: 8400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/(12\/(-3))*130\/(-2275)*7?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -99*z + 619 + 683 + 183 = 0 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -58*a + 271. Let z be c(7). Let g(v) = v**2 - 15*v + 4. Let r be g(6). Let n = r - z. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -4*m**4 + 190*m**2 + 1795.\nAnswer: -16*m**3 + 380*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (17 - 15 + 36)*(2*r + 12*r + 16*r)*(-3*r + 3*r - 5*r).\nAnswer: -5700*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 + 1 - 3)*(14680 - 10611 - 10819)*(5*w - 4*w + 0*w) - 7*w + 3 - 3 to the form n*w + q and give n.\nAnswer: 6743","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Are 0.1 and 2360268 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (43 - 51) + (0 - 5 - (5 - 16)) + -6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(sqrt(1225) + 2*sqrt(1225) + sqrt(1225) + sqrt(1225)) - sqrt(1225)*-1*2)\/(-4*(sqrt(55)\/sqrt(44) + 1*sqrt(720))).\nAnswer: -42*sqrt(5)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -457 + -115344?\nAnswer: -116023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*l + 24*l = -398. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*t + 0*t + t)*(-t + t - 2*t**3 + (-t + 3 - 3)*(-t**2 - t**2 + t**2)) + (5*t - 4*t - 2*t)*(0*t**3 - 2*t**3 - t**3) - t**2 + t**2 - 2*t**4.\nAnswer: 3*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c + 53 = 11. What is the remainder when 27 is divided by c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 23245630, 23245626, 23245622, 23245618?\n\"Answer: -4*l + 23245634","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3097?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*q + 2 = -l - l, 5*l - 15 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 210\/4*(-24)\/(-9). Let o(d) = 2*d**3 - 27*d**2 + 143*d - 210. Let r be o(5). What is the greatest common divisor of k and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 1.6 and -2040458.\nAnswer: -2040456.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qqq. Give prob of picking 2 q.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -10*c**2 - 201*c - 21. Let h be s(-20). Sort -2, -11, -9, h in ascending order.\nAnswer: -11, -9, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 31774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 85 is divided by 8 - 11 - (-2 - (1 + 46)).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in twenty-nine thirds of a hour?\nAnswer: 34800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6.169, -1, 0.09, 0.3, 0.04 in descending order.\nAnswer: 6.169, 0.3, 0.09, 0.04, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 22 + (30593024\/15811)\/(-88).\nAnswer: 2\/163","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -5*h**2 + 21*h + 36. Give r(5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/(-2)*212\/2650*-1*-15*1?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -65192*a**2*u**3 - 9*a**2*u + 10363*a*u**2 - 3*u**5 wrt u?\nAnswer: -391152*a**2 - 180*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 6547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 128 divide 12409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (812\/35 - 26)\/((-2)\/(-5)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = q**3 - 14*q**2 + 4*q - 61. Give s(7).\nAnswer: -376","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 59, 3, -73, -1 in increasing order.\nAnswer: -73, -1, 3, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -31, 1\/4, -4, 7\/4, -2\/3, 2\/19?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.07 + 17.97. Let a = 4.4 - -9.3. Let j = a - c. What is j rounded to 0 decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1067 + 5329\/5. Let p = 0.31 + -0.01. Sort p, -0.2, g in decreasing order.\nAnswer: p, -0.2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 37\/168735457 and -27\/2079944.\nAnswer: 1349883656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 28 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 2, d: 5, x: 3}. What is prob of sequence dcxd?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - 13*n = -18*n + 155, 5*q - 2*n - 183 = 0. Solve 0 = -5*f - 3*k + q, 5*k + 30 = -5*f + 75 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*i**5 + 70*i**4 + 255*i**3 + 270*i**2 = 0. Calculate i.\nAnswer: -9, -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j - 7 = -2*m + 3, -2*j - 10 = -2*m. Suppose 3*a + 5*i - 69 = 0, -m*i + 6 + 9 = 0. Suppose 0 = -4*v + 22 + a. Solve -6 = -4*y + v for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1564 and 1088?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (23*w**5 - w**5 + 20*w**5)*((2 - 1 + 2)*(4 + 1 - 3) - 1 + 3 - 1).\nAnswer: 294*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -59 - 0.34\nAnswer: -59.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 27769308 and 252.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 100 + -100.0109. Round u to 3 dps.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = u**3 + 16*u**2 - 19*u - 20. Let h(l) = -4*l**2 - 7*l - 2. Let p be h(-3). Let z be g(p). Let y be 45\/21 - (0 - (-2)\/z). Solve -y*k + k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vdvvvvvvdvdvdv. What is prob of sequence vvd?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 0 + -5 - (10 + -48). List the prime factors of h\/2*(-20)\/(-3).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 + (-45)\/135*-63?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 29\/2 of a millimeter in micrometers?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let -j**4 - 20*j**3 - 57*j**2 + 122*j + 160 = 0. What is j?\nAnswer: -16, -5, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*1*1*sqrt(128) + 2 + sqrt(14)\/(sqrt(343) - (sqrt(343) + sqrt(343)*-4)) + -1.\nAnswer: -895*sqrt(2)\/28 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*z + 4*i + 8, 4*z - 14 = i - 12 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:34 PM and 3:50 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) be the second derivative of -r**3\/6 + r**2\/2 - 2*r. Let t be (-14)\/2 - (-12)\/3. Let i be a(t). Solve -4*y + 16 = 4*q, q - i*y + 5 + 1 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2 - -200?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*v**4 + 27*v**3 + 135*v**2 - 339*v + 180.\nAnswer: -3*(v - 12)*(v - 1)**2*(v + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (2\/6)\/(1 + -2). Let n = -7.95 + 7.95. Let s be 1\/(-4) - 3\/(-8). What is the closest to n in 0.1, w, s?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -6 - -111. List the prime factors of a.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 0 + 0 + 2*l**2. Let f(t) be the third derivative of -t**5\/120 - t**3\/6 - 5*t**2. Let v(a) be the first derivative of f(a). What is v(p(j))?\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 37 + 5 + 31 - 2*f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2852.51 + 2836. What is v rounded to 0 decimal places?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = s**3 - s**2 + 1. Let v(i) = -19*i**3 - 4*i**2 + 2*i - 1. Let a(t) = -4*m(t) + v(t). Let q be a(-2). Do q and 174 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -7.86262 to 2 decimal places.\nAnswer: -7.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 6.254 micrograms?\nAnswer: 0.000000006254","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4172110.\nAnswer: 2, 5, 421, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000752 rounded to 4 dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2*u**3 + 10 + 6*u**3 - 5 + 0*u**3 wrt u?\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) be the first derivative of -l**4\/4 - l**2\/2 + 7*l - 12. Give r(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*t - 3*t - 2*t + (-3 - 4 + 5 + (-5 + 1 + 2)*(4 - 1 - 1) + 2 - 4 + 3 + 0 - 2 + 4)*(-4 + 4 - 3*t).\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16438 is divided by 8218.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -795 + -0.21\nAnswer: -795.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 114 is divided by 77?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 11*x - 6. Let l be b(2). Let a be 429\/(-4) + (-5 - (-84)\/l). Let i = -49 - a. What are the prime factors of i?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 35 (base 14) in base 4?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -97 + 97. What is the smallest value in 8, -1\/4, p?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 101*z - 6755. Calculate s(53).\nAnswer: -1402","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 432 - 386. Let z = p + -28. Which is the nearest to -2\/3?  (a) z  (b) 3  (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4823496 and 2877?\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 458 minutes after 4:27 AM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -3 + (2 + 1337\/98)\/((-144)\/(-28)). Let v(a) be the third derivative of 7*a**2 + 1\/3*a**3 + 0*a + 0 + m*a**4. Calculate v(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 6\/5 of a millimeter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 55*c - 54*c = -i - 3*i + 68, -21*c + 34 = 2*i for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*((-6*-3*sqrt(162) - sqrt(162)) + 2 + -3)**2 + 5.\nAnswer: -612*sqrt(2) + 93643","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -5 + 486b9?\nAnswer: 486b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 3153683 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 28 - 26. Suppose -m = u, s - 70 = -s - 4*m. Suppose 0 = -k + 5*k - 156. Calculate the highest common divisor of s and k.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -354 (base 10) to base 6\nAnswer: -1350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -3*r. Let k(h) be the third derivative of 0*h**3 + 0 + 87*h**2 + 0*h**4 + 0*h + 1\/6*h**5. Give f(k(n)).\nAnswer: -30*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = r**3 + 28*r**2 + 48*r + 48. Let n(i) = -3*i + 54. Let a be n(-8). Let b be (12\/(-18))\/(2\/a). What are the prime factors of h(b)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 35 minutes after 7:51 AM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = u**2 + 16896*u + 135114. Calculate d(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 8662 at least as big as 6131?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 11\/421 + 28081\/37048. Let i = 168\/127 + 16186\/1397. Let w = n - i. Calculate the common denominator of w and -16\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h**0*h)\/h)**(1\/25)\/((h**(-1\/9)*h)\/(h\/h**(2\/21))))**43 assuming h is positive.\nAnswer: h**(43\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -c + 2. Let s be n(0). Let f = -603\/5 - -121. Which is smaller: s or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 29*t - 1110. Let r be s(54). Let z(i) = -i + 5. Let p be z(0). Suppose -p*o = -o - r. Is 19 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-28)\/p*p*p**(-10\/7))**(-6\/35) assuming p is positive.\nAnswer: p**(1236\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2489*z + 2486*z - 21 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -50\/7 + 264\/35. Let y = -7.4 - -11.5. Let t = 0.1 - y. Put 0.1, t, c in decreasing order.\nAnswer: c, 0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/2?  (a) -35  (b) -1.7  (c) 3.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 336025 times 58?\nAnswer: 19489450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 5\/13 + 473\/156. Calculate the common denominator of ((-75)\/12*-2)\/2 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 95 - 52. Suppose -a = 7*x - 295. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-714)\/9)\/(34\/(-6) - -5) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -231 + -230401351?\nAnswer: -230402022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*m - 67 = 12*x + 3*x - 18*x, 0 = 9*x - 5*m - 163 for x.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 9888 and 3492808?\nAnswer: 4317110688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = h**2 + 9*h + 14. Let c be a(-7). Which is smaller: c or 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -72, -158, -302, -504?\n\"Answer: -29*g**2 + g - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 3\/5  (b) 3.7  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 1 u when two letters picked without replacement from pppiipiipjpium?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -39 - -44. Let n = -7 + 20\/3. What is the biggest value in n, 2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*n - 7*h - 75, -1277*n + 60 = -1282*n - 2*h for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -r**2 + 4*r - 5. Let i(h) = 2*h**2 - 7*h + 9. Determine 3*i(x) + 5*v(x).\nAnswer: x**2 - x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1.37 + -0.51. Let y = g - 0.38. Let r = y + -0.47914. What is r rounded to four decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-588)\/(-245))\/((-4)\/10).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y + 17 - 2 = 0, -y - 115 = -n. Let d = -278 - -288. Calculate the highest common divisor of n and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 131, 508, 1129, 1994, 3103, 4456?\n\"Answer: 122*d**2 + 11*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 25 + -21 - (3 + -1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -n**3 - 56*n**2 - 54*n - 1. Give d(-55).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*j + 5*d - 558, 0*j + 146 = j - 2*d. Let z = -312 + j. Let l = 803 + z. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(sqrt(275) + sqrt(275)*-2 - -6*sqrt(11)*1 - (sqrt(121)\/sqrt(176) + ((sqrt(110)*2 - sqrt(110))\/sqrt(10) - sqrt(11))))**2.\nAnswer: 99\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 160636?\nAnswer: 2, 7, 5737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 561 and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10110111110101100 + 111?\nAnswer: -10110111110100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = 4*s**2. Let f(x) be the third derivative of -x**4\/24 + 2*x**2. Let o(r) = -r. Let m(j) = f(j) - 2*o(j). What is w(m(n))?\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 503?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) be the third derivative of -1\/108*c**4 + 0 - 7*c**2 - 1\/270*c**5 + 2\/27*c**3 + 0*c. Suppose s(n) = 0. Calculate n.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 21, -1.4, 457\/2, -4, 1\/3.\nAnswer: -4, -1.4, 1\/3, 21, 457\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 175 bigger than 38993?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*b**3 + 4*b**3 - 2*b**3 + (0*b**2 - b**2 + 2*b**2)*(2*b + 1 - 1) + 3*b**3 + 4*b**3 + 9*b**3 to the form p*b**3 + w*b + r + o*b**2 and give p.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -33 + 100. What are the prime factors of t?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 20.7698 + 0.2302. What is the nearest to 0.1 in m, -0.4, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-4)\/12)\/((-2)\/(-27))*(-118)\/(-177). What is the smallest value in 2, h, 110, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3890 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*n - 0*n + 136. Suppose 37*b - n = 35*b. What is the smallest common multiple of b and 36?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:44 PM and 11:36 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3\/65 + 77\/260. Let n(x) be the first derivative of u*x**4 - 4\/5*x**5 + 0*x**2 + 0*x**3 + 0*x - 2. Solve n(w) = 0.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 197 divide 334309?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -10*z - 13. Let j(g) be the first derivative of 14*g**3\/3 + 2806. Give j(x(f)).\nAnswer: 1400*f**2 + 3640*f + 2366","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide 15709606 by -714073.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -72.985 - 0.015. Let d = -73.9 - u. Which is the nearest to -0.2?  (a) 1\/7  (b) d  (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*u - 102*o = 99*o - 199*o + 39, 33 = -3*u - 4*o for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 1  (b) -0.4  (c) 1\/5466  (d) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -17541.45 times 1?\nAnswer: -17541.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 6, -0.1, -2, -4\/35?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*p + 6*p = -2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1021851 or -21458890\/21?\nAnswer: -21458890\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.72406 - 0.716. Round p to 4 dps.\nAnswer: 0.0081","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(2448) + 3*sqrt(2448))*4*-3*-5 + -1)**2 + 3)*2.\nAnswer: -11520*sqrt(17) + 282009608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) be the third derivative of -3*t**5\/20 - t**4\/12 + 2*t**3 + 6*t**2. Let n(q) = -3*q**2 - q + 4. Suppose -90*i = -21*i + 552. Determine i*n(w) + 3*s(w).\nAnswer: -3*w**2 + 2*w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = 69*x**2 + 565*x - 464. Determine c(-9).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 279 minutes after 10:14 PM?\nAnswer: 2:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*n + 5*f = 3*n - 375, -635 = -5*n + 5*f. Calculate the greatest common divisor of n and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9156 is divided by 437?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -13\/314124 and -143\/115126446.\nAnswer: 230252892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -j**5 - 187*j**4 + 6398*j**3 - 76624*j**2 + 401024*j - 781312.\nAnswer: -(j - 8)**3*(j - 7)*(j + 218)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s = -4*s - 2*j + 203, -5*s = 4*j - 201. Suppose 0 = -3*z - 4*m - m + 48, 0 = z - 5*m + 4. What is the remainder when s is divided by z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qgppprqgfqggq. What is prob of picking 1 q and 2 g?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 33 + -7 + 4 + -2. Let o be (3 + -4)*(1 - 1). Let b = o - -7. 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: Evaluate ((102\/144)\/(-17))\/((-4)\/36).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + sqrt(192) - (sqrt(192)*2)\/sqrt(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 18446216 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c - 3*f = 428 - 1822, -5*c + 3498 = f. Let j be c\/(-375) + (-2)\/10*-1. Let p = j - -18. Find the common denominator of p and 41\/5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19103 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 11 = 3*b, 3*b + 2 = 2*p + 16. What is the remainder when 283 is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*w + 16 = -5*o + 4*o, -5*w - 4*o - 9 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -143 = -42*v - 56*v + 543. Solve -2*i - v = 5*c, 63*c = 68*c + 5 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 258, 0.2432, 2\/13 in decreasing order.\nAnswer: 258, 0.2432, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (6\/12)\/((-1)\/(-4)). Suppose -5*u = 5*o - 340, -110 - 166 = -4*u - t*o. Calculate the greatest common factor of u and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r = -0*r - 2. Let v be ((-24)\/30)\/(4\/(-10)). Let q(a) = -9 + v + r + a. Let i(h) = 1. Give 11*i(g) + 2*q(g).\nAnswer: 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-4*1\/(-2))\/(-5). What is the second smallest value in -0.1, 1, j?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 475 and 1349?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -4, -1\/3, -7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 225, 217, 209, 201, 193, 185?\n\"Answer: -8*q + 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -7113165, -14226332, -21339499, -28452666?\nAnswer: -35565833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -5?  (a) -4  (b) 0.3  (c) -44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2552\/5 - 14677\/30. Find the common denominator of d and 99\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -2*((-5306)\/(-4))\/(-7). Let u = a - 2947\/8. Find the common denominator of u and 33\/20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 4169, 4154, 4135, 4112?\n\"Answer: -2*o**2 - 9*o + 4180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 3*24 - (-2 - -1). Let p = -32 + o. Let v = p - 25. Solve -3*k + 0*w - 4*w = -10, 4*w - v = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -56\/5*f - 4\/5*f**2 - 196\/5.\nAnswer: -4*(f + 7)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 6\/25 of a milligram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*n**3 - 14130*n**2 + 471905*n + 486030.\nAnswer: -5*(n - 34)*(n + 1)*(n + 2859)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4\/29?  (a) 17  (b) 4\/7  (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 397 = -5*q + 5*t + 62, -2*q - 162 = 5*t. Let l = -65 - q. Solve -2*p + 12 = -l*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 37668*n**3 + 2*n - 6782*n**3 + n**2 - 13109*n**3 - n**2.\nAnswer: 17777*n**3 + 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -5 - 22. Let c = 13 - i. Let l be (84\/c)\/(-3)*-1. Is l > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (11 - 15 - -14) + 16 + -3?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*j = -17*j + 174 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*t + 12*t = -525 + 68 - 519 for t.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4 + -4. Suppose 18 = 4*a - t, y*a + 20 = 2*a + 5*t. Find the second derivative of c - 2*c**a - c - c wrt c.\nAnswer: -40*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1549 + -1608. Is -63 smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v = -4*n + 24, 0*n - 2*v = -n + 11. Suppose -922 = n*q - 5119. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -f**3 + 12*f**2 - 15*f + 8. Give u(10).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -20032 (base 5) to base 7.\nAnswer: -3460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -1175 less than -0.5?\nAnswer: 1174.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/8 of a kilometer in meters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.1, -37, 9\/13, -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -6*n**3 + n**2 - 5. Let v(x) = 18*x**3 - 4*x**2 + 16. Let t(o) = 16*r(o) + 5*v(o). Find the third derivative of t(h) wrt h.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) be the second derivative of 205*u**4\/12 + u**3\/6 - 3*u - 237. Let n(b) = 2*b. Determine n(z(x)).\nAnswer: 410*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = 132*o**5 - 8*o**4 - o**2 + 4*o. Let r(c) = -2*c**4 + c**2 + c + 1. Let g(j) = 4*r(j) - z(j). Find the third derivative of g(u) wrt u.\nAnswer: -7920*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 7\/4 of a milligram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 29.23212414 rounded to two dps?\nAnswer: 29.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 2*i**2 + 72*i - 473. Give n(-42).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 0 - 4)*(-f**2 + 0*f**2 + 0*f**2) - 2*f**2 + f**2 + 2*f**2 - 2 + f**2 + 2 - 2*f**2 - 2*f**2 + 2*f**2 + (0 - 2*f**2 + 0)*(2 + 1 - 1).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -6872 + 971?\nAnswer: -5901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 163\/4 - 41. Let o = 0.34 - 0.04. Let y be (-6)\/10*15\/6. Put y, o, p in descending order.\nAnswer: o, p, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z = 3*n - 1 - 11, 4*n = 16. Let j = -3 + z. Is 10*j\/(-6)*29 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -6 + -15b28fc?\nAnswer: -15b2902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 4831733 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.2, -35\/47, 1\/225?\nAnswer: -35\/47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 620 - 683 - (-23 + -1).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-nine sixths of a century in months?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -25155.3339103 + 32?\nAnswer: -25123.3339103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 293941826?\nAnswer: 2, 109, 1348357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) be the first derivative of -3*v**5\/5 - 87*v**4\/2 - 221*v**3 - 408*v**2 - 324*v - 1590. Factor g(d).\nAnswer: -3*(d + 1)**2*(d + 2)*(d + 54)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -34, -39, -20, 23, 90?\n\"Answer: 12*s**2 - 41*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) be the first derivative of -3*r**4\/4 + 5*r**3 - 12*r**2 + 12*r + 15. Find a such that f(a) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f - 105 = -0*f. Let z(w) = 2*w**2 - 4*w - 4. Let c be z(4). Suppose 0 = -3*d + c + 3. Calculate the greatest common divisor of f and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = 4*l - 3. Let p be i(2). Suppose p*q = q. Let k = 453\/140 + -39\/20. Is k >= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) be the first derivative of -2\/15*q**5 - 68 + 0*q**2 + 0*q - 1\/18*q**4 + 2\/9*q**3 + 1\/27*q**6. Let l(a) = 0. Calculate a.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -5*(122\/70 + 42\/49 + -3). Suppose 0 = w - 0*w - 4*r - 11, 4*w = -2*r + 62. Solve -4*y - y - s*v = -1, -3*y - w = -4*v for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t = 5*t. Suppose -4*p + 12 = -t*p. Suppose 2*q + 9 = p*q. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 186709+-3.4\nAnswer: 186705.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -81, 1211, 3, 0.5, 6\/7 in increasing order.\nAnswer: -81, -4, 0.5, 6\/7, 3, 1211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -12*u**2 - 15*u + 15. Let j(c) = 3*c**2 + 4*c - 4. Let f be ((-3)\/6)\/((-1)\/(-2*11)). Let k = f + 7. Calculate k*t(g) - 15*j(g).\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = d + 3511 - 11*d - 3512. Calculate c(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -1 - -1 - 1*-56. Let l(m) = -3*m**3 + 15*m**2 - 6*m - 8. Let g be l(-4). What is the greatest common divisor of r and g?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + 1*(-4*(-2*sqrt(500) - sqrt(500) - sqrt(500))*-5 + 4))**2.\nAnswer: -4800*sqrt(5) + 3200009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence avvn when four letters picked without replacement from nvnonanvavdn?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 8\/5*(0 - -10). Suppose -5*y = -34 + 9, 3*f + k = 5*y. Suppose -8 = -f*w - 2*b, 2*w + 29 = 5*b + 9. Round w to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -102*f - 2758. Give r(-27).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) be the first derivative of -u**4\/4 - 8*u**3\/3 - 9*u**2\/2 - 12*u + 2. Let y be d(-8). What is the greatest common factor of y and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4732.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -45, -74, -103?\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17263 is divided by 909.\nAnswer: 901","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 6, 28, 74, 144, 238, 356, 498?\n\"Answer: 12*s**2 - 14*s + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = 3*o**2 - 9*o + 14. Let c(b) = -2*b**2 + 9*b - 14. Let j(m) = 4*c(m) + 3*g(m). Let x(l) = -l**3 - 8*l**2 - 4*l + 11. Let v be x(-7). Give j(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -15072, -15074, -15076, -15078, -15080?\nAnswer: -15082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Are -4329\/10 and -266 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (sqrt(27)\/sqrt(9))**2 + ((1*sqrt(75))**2 - sqrt(3)).\nAnswer: -sqrt(3) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 62\/3 of a day in minutes?\nAnswer: 29760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2448*w**3\/5 - 6369*w**2 + 54129*w\/5 - 462\/5 = 0. What is w?\nAnswer: 7\/816, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -u**5\/3 + 583*u**4\/3 + 584*u**3\/3.\nAnswer: -u**3*(u - 584)*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + 6 - -13 - 15.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p = -8*p + 168. Let j = 363 + p. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -63458.882 rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -97*d**2 + 60 + 271*d**2 + 5*d + 44*d + 5*d**3 - 104*d**2 + 76*d.\nAnswer: 5*(d + 1)**2*(d + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 11, 18\/1837, 0 in decreasing order.\nAnswer: 11, 18\/1837, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (2 - 0) + (9 - 12) - -4. Suppose -13 = -2*p + a. Suppose 8*n = 3*n + 4*l + 176, -2*l - 40 = -n. What is the highest common factor of p and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:45 AM and 8:17 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -8 + 7.6. Let i = 3.069 - 0.069. What is the biggest value in i, 0.2, -0.1, s?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = x**2 + x - 4. Let h = -3 + 6. Let m be i(h). Calculate the greatest common factor of 2 and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 163269560 a multiple of 706?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 77 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -0.8, 216\/11, -5.76, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2796 (base 12) in base 2?\nAnswer: 1000111100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in twenty-seven halves of a second?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.1  (b) 1\/6  (c) -7\/93  (d) -31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 29*h**2 - 4*h + 4. Let b(r) = 29*r**2 - 5*r + 5. Suppose 10 = -4*k + j + 31, -3*j - 35 = -5*k. Determine k*b(v) - 5*d(v).\nAnswer: -29*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 149\/120 and -109\/3180.\nAnswer: 6360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -213757\/2 + 104651. Suppose 55369 + 110487 = 73*w. Let n = o + w. Is n greater than 44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 22*g**2 + 86*g - 3. Is i(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 275.2154 years in millennia?\nAnswer: 0.2752154","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.2 or -333?\nAnswer: -333","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:12 PM and 3:58 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1090 is divided by 42.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 602800?\nAnswer: 2, 5, 11, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -19, -31, -77, -169, -319, -539, -841, -1237?\n\"Answer: -2*i**3 - 5*i**2 + 17*i - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (2\/(-3))\/((-52)\/(-39))*-42 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 295129787 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) be the first derivative of -443*i**3\/3 + 53*i**2\/2 + 333. Find the second derivative of t(z) wrt z.\nAnswer: -886","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20460 is divided by 211.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -61 + 62.4. Let m = 1260971 + -1260969.5999928. Let p = m - u. What is p rounded to 6 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 4 and 995.\nAnswer: 3980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 15\/(56*18\/96)?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 2*s + 2. Let y be m(-2). Is y\/(3\/3) + 18 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 + (5 - 1 - 5 - -5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12082132 is divided by 4027319?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -65 - -117. Is 10 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 334352829 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 10.42 + -10.32. What is the nearest to -4\/5 in 2\/7, -2\/17, l?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.158 - -0.069. Let j = 0.08899863 + h. Round j to seven decimal places.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -326*b - b**3 + 331*b - 3*b**2 - 4 + b**3 + b**3. Let n be a(2). Suppose c - 4*g = -c + 546, 0 = -n*g. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -840c (base 14) to base 3\nAnswer: -1011012112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r + 4*r - 53334 = 0. Is 4*r*(-4)\/(-48) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.97 times -5.3?\nAnswer: -5.141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.3, 2, -2\/5, -1\/8.\nAnswer: -2\/5, -1\/8, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n = -0*n. Suppose -2*l = -n*l - 10. Solve -6*h = -l*h + 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -8990 - -8992. What is the second biggest value in p, 7\/2, -3, -19?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35*i + 432 = 26*i. Do 2\/21 and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-111)\/12 - -12)*336. Calculate the greatest common divisor of 168 and n.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 12348 and 72.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 43314.83 centimeters in meters?\nAnswer: 433.1483","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.01140929882 rounded to three dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 12576, 12558, 12552, 12564, 12600?\n\"Answer: a**3 - 25*a + 12600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (-192)\/165 + (-10)\/(-3)*1044\/2900\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 1044868 and -1275.\nAnswer: 1043593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 9585 at least as big as 9590?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**1\/u**(-2\/9)*(u*u*u**(2\/5))**(-16) assuming u is positive.\nAnswer: u**(-1673\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -1075, -1083, -1091, -1099, -1107, -1115?\n\"Answer: -8*j - 1067","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9.389924t to milligrams.\nAnswer: 9389924000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine o, given that 2*o**3 + 4*o**2 - 6*o = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3 - (-3 + -5)) + -4 + -14.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*u + 24*u - 3324 = 0. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0 - -3. Let v be 4\/(-16) + 18\/8. Solve 0 = 2*j + v*z - 8, 2*j - z - 2 = -f for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2132*r**4 - 10*r - r**3 + 2134*r**4 - r**2 - 16*r**2 in the form y*r**4 + h*r**2 + v*r**3 + j + i*r and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -p**2 - 7*p + 6. Let o be w(-7). Let m = 6 - o. Solve 0*u + 2*u - 6 = m for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 23*t**2 - 9*t. Let m(r) = 15*r**2 - 6*r. What is -7*m(q) + 5*p(q)?\nAnswer: 10*q**2 - 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5, -6, -17, -28, -39?\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 63\/5 and -59\/7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 340, 1035, 2856, 6367, 12132, 20715, 32680, 48591?\n\"Answer: 94*m**3 - m**2 + 40*m + 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: What is 27\/2 of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(143)\/(sqrt(22)\/sqrt(2)) + sqrt(130)\/(sqrt(20)\/sqrt(2)))**2.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-531)\/(-472))\/(27\/6).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2 by 61.\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 244 minutes before 2:44 AM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -9*s - 11 + 11 + (-1 + s + 1)*(-29 - 38 - 1) to the form w*s + k and give w.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express -14 - 17 + 66 - 19 - 6413*p - 17 in the form i + m*p and give m.\nAnswer: -6413","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 26167 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21*x**3 - 13*x**3 - 4*x**3.\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 972*r**2 - 482*r**2 - 480*r**2.\nAnswer: 10*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -10 - -3201?\nAnswer: 3131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-17)\/(-17)*(-2)\/(6\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bbbiibbbibliiibibb. What is prob of sequence bibi?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 2 d when three letters picked without replacement from {m: 1, j: 1, d: 2}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 128a00 + 70?\nAnswer: 128a70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + 65 = -4*j, -9*a + 4*j - 10 = -11*a. Solve -5*g - a = -2*g, -4*z = g - 7 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20201 + 23522 = -369*x for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wrsrgwlwglrm. Give prob of sequence lgl.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.365701 rounded to four decimal places?\nAnswer: -0.3657","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1703727690?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 3*q + 2*q + 6)*(2*q**2 + q**2 - 2*q**2).\nAnswer: 5*q**3 + q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -395095 + 395255 = 32*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -472?  (a) 9\/7  (b) -0.29  (c) -0.5  (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*d**5 - 3*d**3 - 15*d**4 - 3*d**2 - 15*d**4 + 47*d**4 - 14*d**4.\nAnswer: 3*d**2*(d - 1)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -11*t - 17. Let y(d) = 5*d + 10. Let k(q) = 4*p(q) + 7*y(q). Let f(c) be the third derivative of -5*c**4\/24 + c**3\/6 + 2*c**2. Give 5*f(a) - 3*k(a).\nAnswer: 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put 1521, 1\/11, 4, 1, 3\/5, 6 in ascending order.\nAnswer: 1\/11, 3\/5, 1, 4, 6, 1521","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 + 8 = -f. Let j be (f\/3)\/((-12)\/36). Calculate the highest common divisor of j and 304.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -47*l - 7583. Let d(s) = -19*s - 3791. Calculate -2*c(h) + 5*d(h).\nAnswer: -h - 3789","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = 4*n**2 + 12*n. Let i(x) = 974*x**2. Determine l(i(g)).\nAnswer: 3794704*g**4 + 11688*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = 4*j**2 + 0*j**2 - 3*j**2. Let t(m) be the first derivative of m**2 + 5*m + 2. Let y(r) = -r - 1. Let s(f) = 2*t(f) + 10*y(f). Calculate x(s(u)).\nAnswer: 36*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (-24)\/(42 - (-798)\/(-21))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Are 2454 and 1705 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2868.\nAnswer: 2, 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1188 and 528?\nAnswer: 4752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 39 + -28. Suppose -59 + m = -4*p. What is the remainder when 23 is divided by p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = 48 - 16. Let g be 1*(-4)\/(8\/42). Let i = g + l. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3015\/20 + (7\/(-4) - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 816 + 3776. List the prime factors of b.\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 457 minutes before 4:36 PM?\nAnswer: 8:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2.661 - 2.7. Let o = -0.951 + b. Let h = -0.98999929 - o. Round h to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 39142 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/4?  (a) 0.05  (b) -35\/17  (c) -81\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**(-1))**37)**(-44) assuming x is positive.\nAnswer: x**1628","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 5969824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*g**4 - 12*g**4 - 7*g**4)*(-2 + 2 + 1) - 5*g**4 - 6*g**4 + 22*g**4.\nAnswer: -4*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-4)\/(-8) - 3)*24\/(-15). Let i(p) = -p**2 + 6*p - 8. Let h be i(l). Suppose h + 3\/5*f**4 - f**5 - 2\/5*f + 7\/5*f**3 - 3\/5*f**2 = 0. What is f?\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -123 = -15*s + 147. Which is smaller: -3 or s?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -5*k**2 + 3*k + 3. Let l be (0 - -1)\/((-16)\/48). Let v(m) = m + 1. Let a(j) = l*v(j) + r(j). Let z(g) = 2*g**2. Calculate a(z(o)).\nAnswer: -20*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q**2 - 29183*q - 175134 = 0. Calculate q.\nAnswer: -6, 29189","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -350 not equal to -133?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -194 = -4*u + 2*b, -2 = 5*b - 7. Suppose 0 = -4*q - 54 - 22. Let r = u + q. What is the remainder when 237 is divided by r?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 746 divided by -3?\nAnswer: -746\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 171849659, 171849658, 171849657, 171849656, 171849655, 171849654?\n\"Answer: -n + 171849660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 6202.007g?\nAnswer: 6202007000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*m + m - 15 = 0. Which is the nearest to m?  (a) 1\/10  (b) 2  (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 339*b = 610 + 1424 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lll when three letters picked without replacement from lllllllll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3 + 5. Let m be u - 1 - 92\/(-4). Calculate the greatest common divisor of 8 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3, 1, 7, 15, 25, 37, 51?\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-4)\/14 + (-92)\/(-28). Suppose -7*y + 6 = -5*y. Find the third derivative of y*j**k - j**3 + 0*j**2 + j**2 wrt j.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-i - 2*i + 4*i)*(48*i + 25 - 39 + 11).\nAnswer: 48*i**2 - 3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -1411113 (base 6) in base 4?\nAnswer: -103113111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -3*o**2 - 2*o + 2. Let s = 4 - 2. Let z(x) = 16*x**2 + 11*x - 11. Let i(t) = s*z(t) + 11*q(t). Let p(f) = 4*f. Determine i(p(g)).\nAnswer: -16*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -6.11 + 0.11. Let o = c - -10. Let k = o - 7. Sort 0.2, k, -2\/5 in descending order.\nAnswer: 0.2, -2\/5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-2 + 2 - 1)*(-2*u + 5*u - u) + (-7 + 4 + 0)*(u - 2*u + 6*u))*(1 - 1 + 3*u)*(5 - 3 + 0) in the form x*u**2 + p*u + a and give x.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 563\/320 - -65\/64. What is the common denominator of (-5)\/6*(-695)\/(-25) and s?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.01 - 0.140742.\nAnswer: -0.130742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 135 or 137?\nAnswer: 137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (sqrt(3) + ((0 + sqrt(3))*-1 + sqrt(3))**2 - (-1*sqrt(3) + -2)) + -1 + (sqrt(243)*2)**2 + sqrt(243) + sqrt(243) + 5.\nAnswer: 20*sqrt(3) + 982","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 158036.4kg in nanograms?\nAnswer: 158036400000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 3239 <= 377\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = w**2 - 7*w + 3. Let q be o(7). Suppose q*h - 10 - 5 = 0. Suppose 4 = h*n - 21. Solve 4*t = n*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 0 + 0 + c**2 - 761*c**3 - 3219*c**3 as m*c**3 + t + j*c**2 + d*c and give m.\nAnswer: -3980","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mc when two letters picked without replacement from wwcxfmwxffwwxmfwf?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 35972047?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -40 + 45. Suppose 4*o + 5*k - 162 = 0, -w*o + 205 = 3*k + 2*k. Suppose 4*z = -9 + 77. What is the remainder when o is divided by z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 423 minutes after 2:41 AM?\nAnswer: 9:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s = -2*p + 6*p - 63, 2*s = -p + 18. Suppose -a = 3*u - 3, 5*u - 4*a - 6 - p = 0. Calculate the remainder when 4\/10 + (-26)\/(-10) is divided by u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*v + 0*v - v)*(2*v**2 - 4*v**2 + v**2) - 12*v**2 + 12*v**2 - 5*v**3 + 2*v**3 + v**2 - v**2.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0 + 2. Let o be (d\/(-4))\/(1\/(-2)). Suppose 0 = 2*r - o - 3. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 17 - 11. Let w(o) = f*o - o - 2*o. Let u(p) = -31*p - 14. Let x(g) = -4*g - 2. Let k(c) = u(c) - 7*x(c). Determine w(k(l)).\nAnswer: -9*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b = -4*b. Let h = b + 2. Let t be -3*h\/(-12)*-4. Put -4, -1, t in descending order.\nAnswer: -1, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 31 - 9. Let f be 18\/(-99) + (-1228)\/a. Let h = f - -82. List the prime factors of h.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.1  (b) -10\/59  (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 607322 and 421894.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 41 minutes before 7:11 AM?\nAnswer: 6:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 4*b + 4. Give m(5).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q - 12 = -4*q. Let n(u) be the first derivative of 0*u + u**2 + 1 + 2\/3*u**q. Solve n(t) = 0 for t.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 21 and 49350?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + 1 + -10 - (-198 - (-370 - -118))?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -2 + -2792?\nAnswer: -2794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 234 and 79209?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -20*(-2)\/(-12)*(-2)\/((-28)\/(-42))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = 10*c + 2. Suppose 0*j + j = 3. Let l(g) = g - 1. Let w(u) = j*l(u) + i(u). What are the prime factors of w(1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 5.8 and 2521450?\nAnswer: 14624410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.07 - 3.93. Let i = 9.93 - 10. Let s = 2.93 - i. Which is the closest to -0.1?  (a) f  (b) -2  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 159966?\nAnswer: 2, 3, 8887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = f**2 + 113*f - 3439. Give a(-138).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 860 divided by -86\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 2*b**2 - 1 + 4*b**2)*((-3*b - 2*b + 4*b)*(1 - 1 - 4) + 2*b - 3*b + 3*b - 2*b + 5*b - 4*b + (-1 + 1 - b)*(-3 - 3 + 4) + 3*b + 26*b - b).\nAnswer: 70*b**3 - 70*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = 5*g**2. Let u be -279*9\/((-108)\/8). Let z(c) = -u*c + 186*c + c**2. Calculate s(z(q)).\nAnswer: 5*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*t + 2 = 15*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 23754768*p**4 + 33475844*p**2 wrt p?\nAnswer: 570114432*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z - 2*w = 25, 0 = -z + 3*z - w + 70. Let x = 70 + z. Calculate the remainder when x is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -331 and 15394.\nAnswer: -5095414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2)\/2*-3 + -3*1. Suppose 4*d + 25 - 89 = n. Find the second derivative of d*x + 16*x + 3*x**4 - 25*x wrt x.\nAnswer: 36*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.59014113 rounded to zero dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -76\/85 + 5\/17. Which is the third biggest value?  (a) p  (b) 1\/7  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -55 - -86. Calculate the highest common factor of k and 93.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1165 in -0.2, -2, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = 6*s + 7. Let y(i) = -i - 1. Let u(l) = -5*w(l) - 35*y(l). Let z(d) = 4*d. Give z(u(t)).\nAnswer: 20*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1676*o + 9*o**2 - 1660*o + 3336*o.\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4345 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Product of -11836 and -0.41732.\nAnswer: 4939.39952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 827 is divided by 96.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/5?  (a) 0  (b) -5  (c) -3250  (d) 0.3  (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-3)\/(-12) + 121\/(-4). Let y = n - -87. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d = -5*y + 186825, -9*y = -3*d - 6*y + 140085. Round d to the nearest 1000.\nAnswer: 47000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.2 and -125?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find r, given that -58\/7 + 8*r + 2\/7*r**2 = 0.\nAnswer: -29, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2232022 (base 4) to base 8.\nAnswer: 25612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 7506 bigger than 7506?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 2, d: 2, u: 1, g: 2, n: 3, e: 2}. What is prob of picking 1 d and 2 g?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = 11*l + 16. Let f(q) = -25*q - 31. Let v(b) = -74*b - 93. Let d(s) = -8*f(s) + 3*v(s). Let w(y) = 6*d(y) + 11*x(y). Does 10 divide w(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = 2994617*z**3 - 5339*z**2 + 5339. Let v(r) = -1122*r**3 + 2*r**2 - 2. Give 6*n(c) + 16017*v(c).\nAnswer: -3372*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*c + 0*c + 3*c)*(2 - 5 + 2) + (-1 + 1 + 3*c)*(-5 - 1 + 4) + 0*c + c - 3*c as u*c + a and give u.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 46\/102 - 2\/17. Let d(f) be the first derivative of -2 + 0*f**2 + f - m*f**3. What is the derivative of d(z) wrt z?\nAnswer: -2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, -7, -35 in descending order.\nAnswer: -0.4, -7, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 16308 and 257920080?\nAnswer: 2321280720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p - 932 = -4*j, -2*p - 2*p = -16. Is j a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -128\/4449 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (2 + 4\/(-2))*1. Let g be -3 + 3 + (u - -4). Suppose -1 = -4*r - 5, -g*r - 14 = -2*i. Put 2, -2, i in decreasing order.\nAnswer: i, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -41366*x + 41386. Calculate c(1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 89 = k + l - 624, -4*k + 2855 = 3*l. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -352 - 8*b**2 + 376 - 22*b**2 - 17*b**2 wrt b?\nAnswer: -94*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-1)\/((-60)\/(-21) - 3). Suppose -22 + x = 4*i - 3*o, -17 = 4*i - 5*o. What is the second smallest value in i, 0.1, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 1 + 0)*(1019 + 23*z - 22*z - 7316 - 161).\nAnswer: 2*z - 12916","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -0.1 * -1794556\nAnswer: 179455.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 443 minutes before 10:15 PM?\nAnswer: 2:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -6 + 33*k - 10*k - 18 - 12*k - 18*k. Let y be w(-4). Solve -y*p + 39 = 9*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -21, -68, -149, -270, -437?\nAnswer: -656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24*i - 24 = 16*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 23704 - 23673. What is the remainder when 5140 is divided by l?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a kilometer in centimeters?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 285, 4 in ascending order.\nAnswer: -2, 4, 285","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 692 minutes after 11:53 PM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -2*v + v**2 + 6 + 4 - 2*v. Let t be k(4). Suppose -2*d - 12 = -16. Solve -d*r = -2 + t for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = 1152*j**2 + 2*j + 1. Is y(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 315.1196 grams?\nAnswer: 315119600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = v**3 + 4*v**2 - 2*v - 5. Let h be a(-4). Let c(n) = -n**3 + n**2 + n + 4. Let y be c(0). Factor -y*i**2 + i**2 + i - 2*i - i**4 - i**h - 2*i**3.\nAnswer: -i*(i + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (o + 3*o + 0*o)*(-4*o**4 + 5*o**4 - 2*o**4 + (-o + 2*o**3 + o)*(5*o - 3*o + 0*o)).\nAnswer: 12*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1214*n - 1163*n + 2*n**3 + 2287*n)*(n - 2*n - 2*n) + 4*n + 3*n**4 - 4*n to the form x*n**2 + d*n + w*n**4 + o*n**3 + t and give x.\nAnswer: 270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 3, -2, 0.41, -0.4?\nAnswer: 0.41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-5)\/(25\/(-8))*-5. Suppose -k + 3*y = 5, k + y - 25 = -k. Let u(m) = -28 + 2*m + k + 13. Calculate u(w).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t, 2 m, and 1 h when four letters picked without replacement from tmhmdmum?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + 62\/14 - (-150)\/42.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -106*q*s**3 - 8*q*s - 4*s**3 + s - 6 wrt s.\nAnswer: -636*q*s - 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 6172*d*l**3 - d*l**2 - 7*d*l - 205*l**2 wrt l?\nAnswer: 37032*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 0.4, -1\/9 in decreasing order.\nAnswer: 5, 0.4, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 69658654 a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) be the third derivative of -h**6\/60 - 4*h**5\/105 - h**4\/84 + 17*h**2. Factor i(t).\nAnswer: -2*t*(t + 1)*(7*t + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 minutes before 9:40 PM?\nAnswer: 9:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -19780 + 19698.49. Let h = -0.49 + i. Let c = h + 82.0049. Round c to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -21*t. Suppose x + 148 = -3*z, -5*x - 668 = 3*z - 6*z. Let q = x - -198. Calculate the remainder when q is divided by v(-1).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is e - -f2?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 10322495 at most as big as 10322495?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*n - 1120*i = -n - 1124*i + 72, -n - 150 = 33*i - 72 for n.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2239\/13260 + -27\/68. What is the common denominator of z and 74\/33?\nAnswer: 4290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 1 and 1.1657.\nAnswer: 2.1657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 39*3.537.\nAnswer: 137.943","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:59 PM and 10:40 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = n**3 - n**2 - n + 5. Let y be m(0). Suppose -y*j = -j. Solve -3*s - 4 = -2*v, -6 = -3*v - j*v - 5*s for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -22\/32391 and 55\/366.\nAnswer: 64782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1012 + 3?\nAnswer: -1004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.08*-836.\nAnswer: 66.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 63281.\nAnswer: 63281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.1987 + -61.807?\nAnswer: -53.6083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) be the first derivative of -v**7\/168 + v**6\/2 - 18*v**5 + 360*v**4 + v**3\/3 - 273. Let x(z) be the third derivative of o(z). Solve x(j) = 0.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -2\/9, -2, -2\/7, -2\/17, -5.365, -4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 419?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 697*m**2 + 26595*m - 1.\nAnswer: 1394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 8*u - 12*u, 0 = 5*b + u - 6659. Let q be b\/135 + (-2)\/(-15). Calculate the greatest common divisor of 20 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven tenths of a litre in millilitres?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -13  (b) 2395  (c) -0.4  (d) -4\/1131  (e) 2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 - (-7 - (-43 - -50))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 607 - 607.0042. Let r = s + 0.004394. Round r to 5 decimal places.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 32 - 6*w - 3 - 13 - 12. Let n(s) = s - 1. Calculate g(f) + 4*n(f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -72*y**3 + 97*y**3 - 30*y**3.\nAnswer: -5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1\/9, 3, -0.3, 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 1897, 2064, 2233, 2404, 2577, 2752, 2929?\n\"Answer: w**2 + 164*w + 1732","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5.35 + -1154779965.1.\nAnswer: -1154779959.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*i + 7*i - 10 = -5*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4412\/15 + -294. Suppose -2*d - 4*w = 8 + 2, 4*d + 14 = -5*w. Which is the smallest value?  (a) p  (b) 2\/9  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*q**5 - 295*q**4 - 570*q**3.\nAnswer: -5*q**3*(q + 2)*(q + 57)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -2215002 - -1?\nAnswer: -2215001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y - 2 = 2. Let p be y\/(-8) - 11\/30. Which is the third biggest value?  (a) p  (b) -0.3  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -40 + 51. Suppose -v*q + 9*q = -222. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {i: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -b**3 - 6*b**2 + 77*b + 245. Let x be p(-11). Let i(s) = 2*s**2 + 6*s - 3. Let q(w) = 4*w**2 + 13*w - 6. What is x*q(a) - 7*i(a)?\nAnswer: -2*a**2 - 3*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 82157323 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (6 - (14 + (2 + 1 + -4 - 11))) + -28?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-4)\/(-18) - (-6 - (-9280)\/(-36)). Suppose 0 = 267*q - s*q - 123135. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = 3*c - 3*c + 7 + c. Let d be n(-7). Let z be (d\/2)\/(-2)*1. Solve -f + 6 = -3*f, z = -4*o + f - 13 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1 - 114?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 99.5421 millilitres in litres?\nAnswer: 0.0995421","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -3 - 1230?\nAnswer: -1233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 516918668?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -23 and 111?\nAnswer: -2553","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) be the first derivative of 0*q**4 + 2\/3*q**2 + 0*q + 8\/15*q**5 - 2\/9*q**6 - 25 - 8\/9*q**3. Determine c, given that k(c) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -263508 - -389702. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 539 + -322. Let n = 791 - l. List the prime factors of n.\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*u + 9*u = 2*n - 10, u - 20 = -4*n for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 6278.765 kilometers?\nAnswer: 6278765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 9\/18 + 93\/6. Suppose -3*d = 20*r - f*r - 99, -r + 5*d = -19. Solve r = -3*k + 5*t - 7, 4*k - 4*t + 28 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1334, 1311, 1280, 1235, 1170?\nAnswer: 1079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 + 2*w**2 - 2)*(5*w - 4 + 3 - 11*w) to the form f + y*w + r*w**2 + p*w**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 36*4\/(8\/(-2)). Let x = -32 - u. Solve x*v = -l + 6*l - 2, -13 = 3*v + 2*l for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.251281t in grams?\nAnswer: 1251281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -441 + 68*l**4 + 441 - 3*l**4 - l**4 + 25*l**4 + (1 + 1 + 0)*(4*l**4 - l**4 - 2*l**4) to r*l**3 + q + f*l + b*l**2 + v*l**4 and give v.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**19*z*z)\/(z**1\/z))\/((z*z*(z**4\/z)\/z*z)\/z**1) assuming z is positive.\nAnswer: z**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -z + 2 = -0*z - 5*l, 3*l - 4 = -2*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-j - 2*j + 5*j)*(8*j**3 - 14*j**3 + 8*j**3).\nAnswer: 4*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -333, -369, -441, -567, -765?\nAnswer: -1053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 56251, 54975, 52845, 49861, 46023, 41331?\nAnswer: 35785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -111 or -110?\nAnswer: -110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -321220 + -10?\nAnswer: -321230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -6953+-2\nAnswer: -6955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is -4275 not equal to -4275?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(363)*-2 - sqrt(363)) + (sqrt(3)*2 + 1 - sqrt(3) - sqrt(3))**2*2.\nAnswer: -77*sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 157*v + 161. List the prime factors of h(8).\nAnswer: 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (110\/(-4))\/((-47)\/(-235) - (-9)\/30)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) be the third derivative of -u**8\/840 + u**6\/60 - u**5\/30 + 43*u**3\/2 + 184*u**2. Let j(b) be the first derivative of i(b). Find n such that j(n) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-220)\/28 + -1 + 192\/224.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 47 - 29. Let f = -0.18 + 27.18. Let z = f - t. Which is smaller: -1 or z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -r**3 + 87*r**2 + 3677*r - 323615. What is b(86)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence io when two letters picked without replacement from aloasaliaaalsssl.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 9.5 + -10. Let y = c + 9.3. What is y rounded to 0 decimal places?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 148 - 133. Let y(h) = 180*h**2 - 49*h + 46. Is y(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 101 a factor of 7347854?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in f**2 + 10*f**2 - 3*f**2.\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = j**2 - 6*j + 6. Let p(w) = -11*w. Let z(k) = -4*k. Let r(t) = -3*p(t) + 8*z(t). Let h(l) = -b(l) + 2*r(l). Calculate h(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(78)*-2 - sqrt(78))*5)\/(5*sqrt(54)) + 2)*-2.\nAnswer: -4 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-28552782)\/(-339669) + -3*(-4)\/(-198)?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1e9 (base 16) to base 12.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 155.399772 rounded to the nearest ten?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 76\/(-95)*5\/(-2). Let 4*o**2 + 9*o + o**u + 7*o**2 + 4*o**2 - 13*o**2 + 6 = 0. What is o?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) be the first derivative of a**6\/33 - 4*a**5\/55 - 3*a**4\/22 + 8*a**3\/33 + 4*a**2\/11 + 4. Find h such that z(h) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 5*h - 11. Let a(z) = 0*z + z - h*z. Let n(s) = -2*s**2 + 0*s**2 + 0*s**2. What is n(a(v))?\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -344 + 379. Calculate the common denominator of 116\/(-6) - 4\/(-12) and ((-5)\/(-2))\/(y\/100).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-252)\/35)\/(-6))\/(9\/(-30))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*g\/(g*g*g\/(g*g\/g**(-3\/4)*g)))\/g)\/(g*g*g**(-2\/3))*(g**1\/g)**3 assuming g is positive.\nAnswer: g**(5\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2\/13  (b) -0.3  (c) 5  (d) -23547  (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -807*m + 46482 + 110718 = -2127*m - 1824*m for m.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f + 40 = 2*t, 2*t - 3*f - 55 = -2*t. Let z(q) = q**2 + 10*q + 4. Let j be z(-10). Suppose 8 = j*d - 8. What is the least common multiple of t and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.2 minus -204.53291?\nAnswer: 205.73291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 21.714342 to 0 decimal places.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 397*l**3 + 1112633*l - 90 - 1112633*l wrt l.\nAnswer: 1191*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -551423 (base 6) to base 7\nAnswer: -250224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 52936?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -19 + (33 - (45 + -17))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -73*w + 81*w = 1616. Let k = w - 202. Solve -q = 5*v + 6, -v = -k*v - 5*q - 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qi when two letters picked without replacement from {i: 2, q: 8}.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -105197 and -4?\nAnswer: 105193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 781260 is divided by 193?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 3502367509 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 5, l: 4, b: 6, g: 4, v: 1}. Give prob of picking 1 g, 1 v, and 1 l.\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2526 = 6*z - 6288. Is 22 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 46*k**2 - 8*k**2 + 6*k**2. Suppose -6 = -h - 2*h. Let x(o) = -o**h - 9*o + 9*o. Calculate x(m(r)).\nAnswer: -1936*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 7}. What is prob of picking 3 e?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.6 + 1.6. Is 17 at most x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -219056 * -23.6\nAnswer: 5169721.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = o**3 + 63*o**2 + 84*o + 2167. Give c(-62).\nAnswer: 803","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is -1.73 less than 1.533414?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -925 - -920. Let p be f*(266\/35 + -8). Factor 8\/3 - 2*l - 2\/3*l**p.\nAnswer: -2*(l - 1)*(l + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -258 - -279. Suppose 17*u = c*u - 24. Solve -x = u*x + 7 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) be the first derivative of 0*o + 0*o**3 - 1\/4*o**4 - o**2 - 3. What is the second derivative of c(v) wrt v?\nAnswer: -6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -85045268 divided by -101486\nAnswer: 838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -5 - -9. Suppose -624 = -c*z + 12. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n - 4*n = 5*s - 28, -5*s + 2*n = -12 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 - 1 + r + (2 + 2 - 6)*(21 - 21 + 9*r).\nAnswer: -17*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 84115815?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) be the first derivative of -b**6 + 8*b**5\/5 + 83*b**4\/6 + 100*b**3\/9 + 8*b**2\/3 + 32. Find g such that h(g) = 0.\nAnswer: -2, -1\/3, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 14 + (6 + 12 + -10 - 5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1950534 rounded to two dps?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4 * -0.128.\nAnswer: -0.512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 142 divide 212620576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -75 = 11*o - 86 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -v**2. Let c(s) = -23*s**2. Calculate c(a) - 6*h(a).\nAnswer: -17*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 326 (base 12) in base 4?\nAnswer: 13032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 614.3546 millennia?\nAnswer: 6143.546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -50*p**2 + 14 + 356*p**2 - 14 - 308*p**2 + 66*p.\nAnswer: -2*p**2 + 66*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -6501*j**3 - 4*j**2 + j + 490 wrt j.\nAnswer: -39006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) be the first derivative of 0*m**6 + 0*m**4 + m - 54\/7*m**7 + 0*m**5 + 8\/3*m**3 + 0*m**2 - 15. Find the third derivative of l(k) wrt k.\nAnswer: -6480*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1593096499 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = r**3 + 13*r**2 - r - 5. Give k(-13).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 - (-1)\/((9\/3)\/3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) be the first derivative of -2*b - 2 - 3\/4*b**4 + 0*b**2 + 0*b**3. Differentiate f(v) with respect to v.\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -189 or -951\/5?\nAnswer: -951\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*n - 12 = 2*n. Let z(w) = -99*w + 16. Let o be z(n). Suppose -10*j - 50 = -o. Calculate the greatest common divisor of j and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -34 + (22\/9)\/(64 - (-32718)\/(-513))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 380 and 95?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.419652t to milligrams.\nAnswer: 419652000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-2)\/8 + (-725)\/(-4)?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 77 and 56.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 53 + -79 + 13 + -1.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) be the third derivative of -t**7\/14 + t**3 - 19*t**2. What is the derivative of g(i) wrt i?\nAnswer: -60*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 105 = -2*u + 6*u + 5*n, -n + 85 = 4*u. Suppose 36*t - u*t - 21808 = 0. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.1, -9, -2, -2\/11, 1 in decreasing order.\nAnswer: 1, 0.1, -2\/11, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6249.\nAnswer: 3, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2648414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gfog when four letters picked without replacement from {f: 3, o: 1, g: 4}?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -i**3 + 5*i**2 + i + 1. Let v be z(6). Let b = 43 + v. Find the third derivative of -4*q**6 - 51*q**2 + 23*q**2 + b*q**2 - 4*q**6 wrt q.\nAnswer: -960*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4071793 and 16911.\nAnswer: 1879","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -77\/1080 and 133\/84960?\nAnswer: 254880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -3161 + 545750744\nAnswer: 545747583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1492 and -0.11?\nAnswer: 164.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 64905, 5\/7, 69\/5 in decreasing order.\nAnswer: 64905, 69\/5, 5\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 64595 is divided by 15806?\nAnswer: 1371","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-5))**(1\/11)*(h**(-2\/51)\/h)\/(h**(-11)*h) assuming h is positive.\nAnswer: h**(4772\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 512487*x**2 + 2*x - 539521 wrt x?\nAnswer: 1024974*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3987324 and 792?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q, 1 p, and 1 f when three letters picked without replacement from {m: 1, k: 3, f: 1, p: 1, q: 4, b: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v**5\/5 - 5364*v**4\/5 - 1216064*v**3\/5 - 75045204*v**2\/5 - 350143934*v\/5 - 276309432\/5 = 0. What is v?\nAnswer: -2439, -119, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 64985.48 years to millennia.\nAnswer: 64.98548","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(68)\/(sqrt(48)\/sqrt(3)).\nAnswer: sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 - 6 + 0)*(-5*h - 3 + 9*h - 7*h) as p*h + r and give p.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + 1 - (4 + -7 + 5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-14 - -5) + 1 + 8 + 1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 6120*c**2*n**3 + 178*c**2*n**2 + 2*c**2 - 5*n**2 wrt n?\nAnswer: 36720*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8\/12*(-342)\/2622.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -1150*-4450.1\nAnswer: 5117615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -137  (b) -3  (c) -0.16  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -45.025 + 0.025. Let n = -44.6 - u. Which is the third biggest value?  (a) n  (b) 1  (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (117\/(-2790)*-62)\/((-2)\/20)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = y**3 + 6*y**2 - 2*y - 9. Let i be r(-6). Find the second derivative of -o - o**i - o + 6*o - o**3 wrt o.\nAnswer: -12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-22)\/(-4))\/(47\/(3102\/726))*-12?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v\/(v**(-1\/4)*v))**(-32\/7)\/(v\/((v*(v**(-16)\/v*v)\/v*v*v)\/v)*v**(4\/7)*v) assuming v is positive.\nAnswer: v**(-163\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 23349 * -2\nAnswer: -46698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12 - -19 - (48 - 35) - -67.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 326983 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1.1 or -0.125?\nAnswer: -0.125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1 + -123?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (7 - 1)\/(-1 - -3). Suppose 2*v = k*v. Suppose -4*u - p + 208 = v, -u - 2*p = -3*p - 47. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 10*g + 6544 - 20714. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3155528 is divided by 31874?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 120631?\nAnswer: 7, 19, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m = -8*m. Let a(r) be the third derivative of 0*r**3 - 1\/70*r**6 - 1\/1176*r**8 + 2\/105*r**5 + 0*r - 1\/84*r**4 + m + 4\/735*r**7 - 2*r**2. Factor a(g).\nAnswer: -2*g*(g - 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4638325831 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9626*z + 307*z**3 + 396*z**3 - 9624*z.\nAnswer: 703*z**3 + 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -8799*c - 26659. Calculate a(-3).\nAnswer: -262","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 11 + -7. Suppose l*h = h. What are the prime factors of (5 - (h - 0)) + 1?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4596 - 4577. What is the greatest common divisor of n and 3743?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 856 - 26538\/31. Put r, -5, -1 in decreasing order.\nAnswer: r, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 7212 + -7245. Put c, 22, 7 in increasing order.\nAnswer: c, 7, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 306 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 2*a**3 + 247*a**2 - 374*a + 122. Determine g(-125).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 10.46 - 11. Let n = h - 18.76. Let w = -17 - n. Round w to zero dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 149*a**2 + 1787*a - 19. Give d(-12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1209.4 and -14125.\nAnswer: -17082775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 20*(-2)\/(-160)*(-8 - -4)*-2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ssszsszzmzshszo. Give prob of picking 2 z.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1\/15  (b) 31  (c) -1\/6  (d) 24.3  (e) -8  (f) -1\/2  (g) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3004*p**4 - 8*p**3 + 11293*p**2 + p - 1 wrt p.\nAnswer: -72096*p - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 9 - ((-7)\/56 - -5) and 17\/333.\nAnswer: 2664","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.4146 rounded to one decimal place?\nAnswer: 4.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 79 - 113. Let f = w + 38. Solve 6*q + 3*c = 2*q - 20, -f*c - 6 = -5*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = 1318*g - 91225. Calculate f(68).\nAnswer: -1601","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27*z**5\/4 + 3951*z**4\/2 - 123567*z**3\/4 - 43610*z**2 - 18483*z - 2484 = 0 for z.\nAnswer: -2\/3, -1\/3, 18, 276","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.4?  (a) 116  (b) 45  (c) -27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 32274256.\nAnswer: 2, 7, 127, 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.5, 1, -3, -366?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2374275 is divided by 57.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -11 (base 13) to base 16\nAnswer: -e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*k - 14*k**2 + 4*k + 1 + 10*k**2 + 7*k**2 + 6 as q*k + d*k**2 + n and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -r + 3. Let x be g(3). Suppose -3*h + x*h = -45. Suppose -4*c + 47 - h = 0. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -w + 47. Let v be r(44). Let j = 179 - 51. Suppose -v*b - o = -206, 2*o = -2*b - o + j. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -365*a + 5496 = 1166*a + 11905 + 4308 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -737 - 22 = -23*u. Which is greater: 34 or u?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6038 = 309*t - 9796 - 10456 for t.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -8724.92 - -8725. Put 3, p, -579 in descending order.\nAnswer: 3, p, -579","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -643 (base 7) to base 10.\nAnswer: -325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n = -3*s + 6, 4*n + 9 = -5*s + 36. Suppose 2*f + 6 + 0 = 4*g, 0 = g - 5*f + 3. Solve g = -2*m + n*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2 + 1. Let h be (b - 12\/(-10))\/(-1). What is the closest to -0.1 in h, -2\/9, -0.5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 428541926?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*g - 8*g - 170. Let x = g - -9. Let o = -15 - x. Solve -3*h - 2*h = 4*u - o, -3*h + 6 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = p + 9. Calculate the least common multiple of d(0) and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101 - -1100000001000011010010111?\nAnswer: 1100000001000011010011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 less than -76517914869085?\nAnswer: -76517914869089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -140*h**2 - 55*h - 55. Let s(o) = 10*o**2 + 4*o + 4. Let b(w) = 4*a(w) + 55*s(w). Let t(f) = 2*f**2. What is t(b(c))?\nAnswer: 200*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in twenty-nine halves of a day?\nAnswer: 20880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*g**3\/13 + 8*g**2\/13 + 6*g\/13 - 36\/13.\nAnswer: -2*(g - 3)**2*(g + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 147 from -2.1.\nAnswer: -149.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.2, 0.4, 2\/9, 45.4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -9*r. Suppose -4*t - 3*a = -6, -t + 0*a - 5*a = 7. Calculate d(t).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 9df + 7?\nAnswer: 9e6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3519 and 1325916?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 39912901 divided by 2100679\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1.7 + -0.2. Let j = 0.5 + n. Let y = j + -1.5. What is the third smallest value in -2\/3, -4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 740\/(-50)*16*20\/128.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Expand 8*u**5 - u**2 + u**2 + (2*u**2 - u**2 + 2*u**2)*(u**3 + 2*u**3 - 6*u**3) - 4*u**5 + 2 - 2.\nAnswer: -5*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 172 - ((-6 - 2) + -2)\/(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (240\/112 - 2)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2103907 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17*q**3 + 5*q**3 + 11*q**3.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 8\/10*(-20)\/136. Which is the biggest value?  (a) 0.5  (b) 2  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 14872254 to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) be the third derivative of 3*c**7\/35 - 25*c**4\/24 - 25*c**2. Find the second derivative of l(g) wrt g.\nAnswer: 216*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 22221122 - -11?\nAnswer: 22221210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 593265972 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1\/(-2 + (-18)\/(-8)). Suppose -b*z + 5*z + 6 = 0. Let a(i) = -i**2 - 9*i - 8. What is the tens digit of a(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 (base 8) in base 14?\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in one fifth of a micrometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + 0*f - 388 = -2*s, f = 2*s + 368. What are the prime factors of f?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 2089, 4271, 6463, 8665?\n\"Answer: 5*j**2 + 2167*j - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*s = 6*s + 2710. Let m = s - 269. Put m, 18, 3 in descending order.\nAnswer: 18, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*s - 10, -4*s = 2*m - 9*s - 564. Suppose 68 = 5*t - m. What is the remainder when t is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (73\/511)\/(6\/(-336)*-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -2 and -574603626.\nAnswer: -574603628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2450) - ((sqrt(72))**2 + -3)) + -2 - ((1 + sqrt(162))*-4 - -1*sqrt(8)*-6).\nAnswer: -67 + 83*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 2\/119, -3, 0.2?\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -15 - -14.72. Let b = 1.4631 - 2.1831. Let n = b + q. What is the closest to 3 in -2, 3, n?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 105 - 121330?\nAnswer: -121221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 14513020 to the nearest integer?\nAnswer: 3810","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 11818 and 4752470.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (24\/14)\/(-1) - -2. Let f = 11.1 - 9. Let y = f + 2.9. Which is the smallest value?  (a) 0  (b) u  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-18 + 25)*-9*6\/441. Sort 0.5, y, 1\/6, -19\/4 in ascending order.\nAnswer: -19\/4, y, 1\/6, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 115315434959 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2 - -4) + (-40 - -1) + 21.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 12335 + -10005. Is 15 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 5 + -3. Is 125\/1 - (j - 4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -17227*l**3 - 3*l - 8760.\nAnswer: -103362*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 39071 - 39066. Let d(g) = 4*g**2 + 7*g. Let u(j) = -3*j**2 - 6*j + 1. Calculate m*d(h) + 6*u(h).\nAnswer: 2*h**2 - h + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-2)\/3*6\/(-8). Suppose -5*h = o + 71, -3*h + 3*o = 5*o + 44. Let i be 60\/h + (-2)\/(-7). What is the third smallest value in 2, i, v?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gdd when three letters picked without replacement from {x: 1, d: 9, z: 4, g: 1, s: 1, c: 1}?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1080 - -1069) + (-2 - (-14 - -1 - 2)) + 76?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 9388, 13298, 17208, 21118, 25028, 28938?\nAnswer: 32848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4105465\/5706 + -1\/2853. Let g = j + 720. Suppose 50 + g*a**2 + 10*a = 0. Calculate a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -5*h + 14*h - 53*h**2 - 47*h**2 + 99*h**2 + 3. What is s(10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -5029\/2755 - -14\/551. Calculate the common denominator of a and -51\/52.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 290 - 2*z**2 + 4938 - 5228.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + -1 + 12 + -9.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**(-4)\/m)**(-2\/29)\/(m**(3\/5)\/m**9))**0 assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 12\/52085899 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -10020 (base 3) in base 9?\nAnswer: -106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mt when two letters picked without replacement from {u: 1, t: 1, v: 1, m: 2, p: 1, k: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + 5*w = 4649985, v - 1860009 = 3*v + 3*w. Round v to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 5723 - 5722. Let f(a) = -a**2 - 3*a - 4. Let x be f(-3). Sort 0, n, 2, x in descending order.\nAnswer: 2, n, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -72 = 27*r - 9*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 30550135355 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 48235, 96436, 144597, 192718, 240799, 288840, 336841?\n\"Answer: -20*k**2 + 48261*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -365*o**3 + 23*o**2 + 10*o + 31. Let w be a(-17). Let v = -7899753 + w. What is v rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -29*l - 118. Calculate y(-11).\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -g - 3, 2*u = -g + 12 + 173. Let t = u + -14. Does 16 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ru when two letters picked without replacement from {v: 1, r: 1, z: 1, t: 1, u: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 1 + 1)*(-j - 2*j**2 + j) - 21200092 - 3690*j**2 + 21200092.\nAnswer: -3694*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = q + 6900002, 2*r - 20700002 = -r + q. Suppose 2*t - 3*t = -r. What is t rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -u**2 + u**2 - 3*u**2.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 6306 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p - 3 = -f, f + 0*p + 1 = -5*p. Suppose 0 = -f*v + 3*v - 3. Is -1 < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1154.01*2.\nAnswer: 2308.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 108313634?\nAnswer: 2, 11, 13, 34429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vsqrooqy. What is prob of sequence vrsq?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 401 minutes before 8:41 PM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 192*s**3 - 3*s + 3*s - 193*s**3.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 14234 and 451?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -24586, -49141, -73696, -98251, -122806?\nAnswer: -147361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0 - -4. Put d, -0.1, 3, 0.1 in decreasing order.\nAnswer: d, 3, 0.1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.78362 plus -1010.396?\nAnswer: -1008.61238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (-23)\/(-2)*(1206\/(-13266))\/(1\/(-22))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 140.99999778 - 141. Round d to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12\/(-30) + 403434\/10 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 3.2172 and -5.\nAnswer: -1.7828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 3800*q + 6. Let t(p) = -9632999*p - 15212. Calculate 7606*c(b) + 3*t(b).\nAnswer: 3803*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + 86 + (8827 - 8926).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -92 + 40. Let n = i - -51.61. What is n rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*w - 3*s + 692 = 676, -2*w + 8 = 3*s for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 14533557?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 7844 divided by -1961\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 35250887?\nAnswer: 7, 5035841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 120098909?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 190483?\nAnswer: 239, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence knkn when four letters picked without replacement from kkznzpnzzk?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -j**2 - 4*j**2 + 2*j**2. Suppose w + 1248 = 2*f + 3*w, 5*f - w - 3138 = 0. Let d(v) = f*v + 632*v - 1267*v. Determine g(d(q)).\nAnswer: -192*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 34 divide 3196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in -1, -1.17, -146?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*v + p - 67673, -v + 6*p = 8*p - 33841. List the prime factors of v.\nAnswer: 5, 67, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4637.0117 rounded to the nearest integer?\nAnswer: 4637","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 326, -3, 319.\nAnswer: -3, 319, 326","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*y - 1560*y**2 - 862*y**3 + 1560*y**2 - 2.\nAnswer: -862*y**3 + 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide -7 by 2388.\nAnswer: -7\/2388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:26 AM and 12:04 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 37 a factor of 370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -v**2 - 5*v - 2. Let o be x(-4). Suppose 5*i - 5*j - 12 = -47, i - o*j = -11. What is the units digit of 1\/(i - 116\/(-38))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + 1 + sqrt(42)\/sqrt(6).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -g**3 + 5*g**2 + 4*g + 1. Let v be q(6). Let o(i) = 0*i + i - 4*i. What is the least common multiple of 6 and o(v)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 - 2*x + 0)*(-393*x + 33*x + 27*x) - 14*x**2 + 2*x**2 + 0*x**2 as c*x**2 + n*x + s and give c.\nAnswer: 654","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*o**2\/2 - 800529*o\/2 + 400266 = 0.\nAnswer: -266844, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -160663770*h**2 - 318509706*h?\nAnswer: -321327540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -61*x + 1172. Give v(19).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6 - (-11 - -12 - -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 21725201?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 72623851 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -91\/349875 and -121\/11196.\nAnswer: 1399500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 24070195 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 399 = 4*f, -f - 2*g - 507 = 4*f. Let w be (-2)\/9 - f\/9. Suppose -1 = -4*t + w. Solve -2*k + t*k - 2 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -225.23852 - -245.231. Let w = z - 20. What is w rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*f = 2 + 78. Let v be -6*94\/(-3) + (-10)\/f. Let u = v - 81. What is the greatest common divisor of u and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -1\/3, -3, 1\/6, -4, 0.238?\nAnswer: 0.238","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 616?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 82*1 + 43945\/(-2585).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(6)\/sqrt(3)*1)**2 + sqrt(2) + -2 + 4)*-4 - (sqrt(242) + (sqrt(242) - (-4 + 0 + sqrt(242)) - sqrt(242)) - 3*sqrt(6)\/sqrt(3)*2)**2.\nAnswer: -104 + 44*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 355513?\nAnswer: 355513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 33*l**2 + 1. Suppose x + 2*z = -3*z - 9, 0 = 3*z + 6. Suppose 0*d + x = -d. Calculate the remainder when t(d) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3*2\/(-54)*3.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -6, 4, 424, 16 in ascending order.\nAnswer: -6, -2, 4, 16, 424","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 152 in -3, -5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -4*h**2 + 2*h. Let z(j) = j**3 - j**2 - j - 1. Let y(u) = -i(u) + z(u). What is the units digit of y(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -15, 7, -5, 3 in descending order.\nAnswer: 7, 3, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-20)\/6*(-1146)\/955)\/22?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*z**3 - 5*z**3 + 4*z**3)*(4*z - 4*z + z**2) + (-25*z**3 + 11*z**3 + 47*z**3)*(-4*z**2 + z**2 + 2*z**2).\nAnswer: -34*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 17, -2, 9, -18 in descending order.\nAnswer: 17, 9, -2, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 22  (b) -0.2  (c) 0  (d) -0.01  (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*((sqrt(684) + 0 + 1 - sqrt(684)) + sqrt(684) + -2))**2.\nAnswer: -300*sqrt(19) + 17125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 272316.\nAnswer: 2, 3, 11, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 896490.5kg?\nAnswer: 896490500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 188\/(-36) + 8\/36. Let z be (-11)\/(-3) - (l\/15 + 0). What is the tens digit of 342\/z + -2 + 6\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (5 - 13 - (-13 + 11 + -11)) + -28?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence axz when three letters picked without replacement from {z: 5, c: 1, a: 2, x: 5, v: 1, p: 1}?\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2 - -118. Let t be 1*508 + 2 - -1. Suppose -5*z + t = n. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -209*j - 98*j + 93*j + 4*j - j - 4*j + (-4 + 0 + 2)*(2*j + 2*j - 5*j) + 2*j - 2*j + 2*j + j + 4*j - 4*j - 2*j + 0*j + 4*j.\nAnswer: -208*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 21, 19, 19, 21, 25?\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 10 + -7. Let u(o) be the first derivative of -o**4\/4 + 4*o**3\/3 + o**2\/2 + 3. Let d be u(3). Solve 3*h - d = -b - 4*b, 4*h - 5 = -q*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5 by -12121040.\nAnswer: -1\/2424208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 7.484 and -910?\nAnswer: -6810.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -11*n**2 - n - 1. Let o be p(2). Let k = o - -89. Suppose -3*m + 69 = -k. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 96 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 2972 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.46 * 87.\nAnswer: -40.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -391, -18, -5, -4, -20 in descending order.\nAnswer: -4, -5, -18, -20, -391","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 69658975?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9*456\/513*(-5)\/4?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 51\/31 and 87\/2.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -3  (b) 72.7  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 59*d - 57*d - 4 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 138287 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*y = p + 36, 56*p = y + 55*p - 6 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 14970902987 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = o**3 + 3*o**2 - 5*o - 4. Determine u(-5).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10929?\nAnswer: 3, 3643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (13 - 6) + -10 + (-2 - -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = 4*v**2 - 4*v**2 + 71*v + 9*v**2 - 7*v**3 + 6 - 62*v. Let d(g) = 3*g**3 - 4*g**2 - 4*g - 3. Calculate 9*d(n) + 4*i(n).\nAnswer: -n**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-60)\/(-22) + (-1 - 1). Suppose -11*d - 8*d = 38. Let a(w) = 2*w**2 + 7*w + 7. Let y be a(d). Is y equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 9, g: 10}. What is prob of sequence gtt?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*y - 2077 = -28*y - 42*y for y.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 33\/5, -0.4, -6, -0.049?\nAnswer: -0.049","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 4a + 3b5?\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p + 3*w + 2*w = 13, -2*p - 26 = -4*w. Let g = 17 + -8. Let z = 9 - g. Which is the nearest to z?  (a) -4\/3  (b) 0.3  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ttvaaavv. Give prob of sequence ta.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 4 + 16?\nAnswer: 20","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) 0.1  (c) -1\/8  (d) 0.3  (e) 8\/35\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from okoooookokooooo. What is prob of picking 3 k and 1 o?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -3*w. Let j(q) = -19345*q**2 + 0*q + 19144*q**2 + 0*q. Determine t(j(u)).\nAnswer: 603*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -14, -9 in decreasing order.\nAnswer: -1, -9, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -310 - -497. Suppose -2*s + 145 = -l. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 58667 divided by 7?\nAnswer: 8381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -x**3 + 2*x**2 + 2*x - 6. Let o(a) = 4*a**3 - 13*a**2 - 8*a + 46. Let i(v) = -7*c(v) - o(v). What is i(3)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 3*d = 12, -3*a - 23 + 7 = -4*d. Let v = -4.6 - -4.4. Put -2, 3\/4, v, a in increasing order.\nAnswer: -2, v, a, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = w**3 + 6*w**2 - 4*w - 20. Let p be s(-6). Suppose -z + 5 = 0, 2*k + p*z - 25 = z. Sort 0, -15, k in descending order.\nAnswer: k, 0, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) be the first derivative of 1\/2*k**2 - 1\/20*k**5 - k**3 + 0*k - 3\/8*k**4 + 7. Let m(s) be the second derivative of b(s). Factor m(z).\nAnswer: -3*(z + 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-59)\/(-4*4\/16). Suppose 2*q + 122 = 2*c, -249 = -3*c - 4*q - i. Solve 50 = 3*g + c for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = m**2 + 8*m - 4. Suppose 3*z + 16 + 11 = 0. Let x be u(z). Suppose 3*s - 2*d = 2*s + 24, -5*d = -x*s + 110. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1323\/7)\/(-9)*(50\/5)\/(-10)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w, 1 z, and 1 r when three letters picked without replacement from rwzlllwlullwqlluzlqu.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express (s - 2*s - s)*(-1 + 1 + 2) + 299*s + 40 - 301*s + 11 in the form o*s + b and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(3146))\/(sqrt(2)*1*3).\nAnswer: -11*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -984 + 983. What is the nearest to 1 in j, -0.038, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) be the second derivative of -d**4\/12 - d**3\/6 - 2*d**2 + 8*d. Calculate m(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 814894483 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (14\/168*51)\/(11\/4) and -10\/119.\nAnswer: 1309","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = 3*t**2. Suppose -5*c + 6 = -2*c. Let q(n) = 4*n + c*n**2 - 4*n. Calculate d(q(y)).\nAnswer: 12*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 710707267 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand -22*f + 3 - 6 + 23*f + (-2*f + 0 + 0)*(3 + 0 - 2).\nAnswer: -f - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) be the second derivative of 9*y + 1\/2*y**2 - 1\/2*y**3 + 0. Determine l(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1560 divided by -286\nAnswer: 60\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-38 - -4) + (2 - 9) + -19 + 23.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 31344.\nAnswer: 2, 3, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 - (-6 - (7 + -1 + -7)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 449136.2 rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 31363840 and 7490?\nAnswer: 1070","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*h = 4*a + 146, h - 247 = -a + 4*a - 130 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 15\/4 of a week?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 15418769?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 91 is divided by 47.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 450 and 306?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 52726 - 116246?\nAnswer: -63520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -29 - -31. Suppose -5*j = 4*x - 32, 0 = -d*j - 2*x + 3*x + 5. What is the smallest value in -3\/16, j, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -25\/173 + 42143\/182688. Find the common denominator of 11\/256 and k.\nAnswer: 8448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 162022462.\nAnswer: 2, 7, 19, 609107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g = 4*r + 883, 2*r - 1 = -5. Calculate the smallest common multiple of 25 and g.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1309?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a - 4*o + 29 = 0, -2*o = -6*a + 3*a - 9. Sort 0.1, a, 714 in decreasing order.\nAnswer: 714, a, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6b4 (base 16) to base 8.\nAnswer: 3264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 16, 1\/2, 116?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 3*n + 1. Let z(r) = r**3 - 2*r**2 - 7*r - 5. Let d be z(4). Give b(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 818408479?\nAnswer: 7, 79, 293, 5051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -1620*l**4 - l - 7321?\nAnswer: -6480*l**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (25 + -3)\/2 + 0. Let z(c) = -c**3 + 12*c**2 - 10*c - 11. What is z(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -38 - -93. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -o**2 - 14*o - 4. Let v be w(-15). Let q = 6 - v. Calculate the highest common divisor of q and 200.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 239, 955, 2149, 3821, 5971?\nAnswer: 8599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -10864, -10804, -10704, -10564?\n\"Answer: 20*u**2 - 10884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 45*h**3 - 216*h**2 wrt h?\nAnswer: 270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -11?  (a) 3\/7  (b) 1\/4  (c) 520267\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 628 minutes before 7:15 PM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 9245 to the nearest one hundred.\nAnswer: 9200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = f + 8*r - 9*r, -3*f + 5*r = -25. Let g(m) = m**2 - 5*m + 2. Give g(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*u + 4*s - 38, 0 = 4*u + 37*s - 36*s + 58 for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h - 3 = 0, q - 4*h + 3*h = 189. Which is smaller: q or 189?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 39022368 a multiple of 224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Product of -141586 and 1.676.\nAnswer: -237298.136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = 11178*p**2 - 8*p - 9. Is k(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7904 = -49*p + 41*p. What is the hundreds digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -74351*d + 74390*d + 195 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.7 and 49093369.\nAnswer: 34365358.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:11 AM and 10:28 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 16 divided by 155\nAnswer: 16\/155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**20)**(1\/40) assuming x is positive.\nAnswer: sqrt(x)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is a in -a**4\/2 + 9*a**3\/2 - 9*a**2\/2 - 85*a\/2 + 75 = 0?\nAnswer: -3, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -3 + (-21 - -7) + 7 + 27\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k + 2*d - 7413 = 6999, 4821 = k - 5*d. What is the thousands digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.0618 times -6?\nAnswer: -6.3708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1288\/138*(-6)\/(-14). Let f(w) be the second derivative of 0 + 1\/2*w**2 - 3*w - 1\/6*w**3 + 1\/12*w**x. Let l(v) = 7*v**2 - 4*v + 4. Give 4*f(n) - l(n).\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n = 5*g - 28, -6*g - n = -7*g + 2. Solve -24 + g = 4*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) be the first derivative of -2\/5*m**5 + 0*m**3 + 0*m**4 + 7*m + 10 + 0*m**2. Differentiate i(k) wrt k.\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 + -16 + -1 + 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1113473 to the power of 1\/3, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1584)*2*-4 + sqrt(1584) - ((sqrt(1584) + (3*sqrt(1584) + sqrt(1584) - sqrt(1584)) + sqrt(1584))**2 + 1))*-2.\nAnswer: 168*sqrt(11) + 79202","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = m**3 - 17*m**2 - 21*m + 104. What is the remainder when 113 is divided by h(18)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 182798.6719 to the nearest 1000.\nAnswer: 183000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-18)\/24 - -1)*16*1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -11 + 6*x - 2*x - x - 4*x. Calculate f(-15).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.9333884t in nanograms?\nAnswer: 933388400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 71 + 4 = 15*v. Suppose 4*d - v*q + 1 = 0, 5*d - 7*d = 3*q - 5. Which is smaller: 63 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14596411 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -9*g + 66. Let x be r(7). Suppose 3*a + 19 = -11. Let j = a - -13. Solve -k + 9 = -x*d, -j*k - d = -0*d - 7 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -100010 - 11000011011?\nAnswer: -11000111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fgq when three letters picked without replacement from {c: 5, f: 4, g: 1, h: 1, q: 1}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence awwi when four letters picked without replacement from {w: 2, m: 2, i: 7, a: 1}.\nAnswer: 7\/5940","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*n**2\/3 + 440*n\/3 + 9680\/3 = 0. Calculate n.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Determine a, given that 2*a**2\/15 + 4932172*a\/15 + 3040790079698\/15 = 0.\nAnswer: -1233043","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 11742 and 3696052?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 a factor of 1357?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1584632 is divided by 528192?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10 - 2 - 4)*(6 - 6 + 2*v + (-4*v + 2*v + 3*v)*(-1 + 0 + 2) - 2*v + 0*v + v).\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = y**3 - 2*y**2 + 4*y - 3. Let w be g(2). Suppose 0*z + 5*r = -w*z, -z - 5 = 2*r. Let q = 0 + z. What is the greatest common divisor of q and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-75)\/4*144\/(9\/(-1)). Suppose c = 23*a + 70. Solve 7*d - a*d + 9 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is b - a6b63?\nAnswer: -a6b55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 43621.64 centuries to millennia.\nAnswer: 4362.164","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3*-52.\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1316270 + 23*d - 658140 - 658130.\nAnswer: 23*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -58788 + 128373. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -15*w**3 - 2*w**2 - 2*w + 5. What is the hundreds digit of i(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 8486062 and 1562.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -10 - (6\/(-33) - (28\/(-154) + -11))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 = 6*z + 174. Let c = z - -54. Does 7 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 25565558 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:55 PM and 1:41 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-20)\/2 + (-266)\/(-28) - 2451\/(-5358).\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/7?  (a) -8  (b) -6\/23  (c) -0.591\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-2)\/6*2)\/2. Let v be (2\/15)\/(184\/(-460)). What is the nearest to g in -0.2, v, -1\/4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = c**3 + c**2 + 2*c + 2. Let n be p(-2). Let m be (-1)\/n + 42\/(-36). Let x = 20 - m. What is the greatest common factor of 21 and x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 18873?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 54984 to the power of 1\/2, to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -1020122 (base 3) in base 12?\nAnswer: -638","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -5 + -2d69?\nAnswer: -2d6e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -3*s - 4. Let g(d) = -d - 1. Suppose -4*n + 52 = 12. Let u = -14 + n. Determine u*g(k) + w(k).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -l**3 - 8*l**2 - 8*l - 1. Let p be v(-7). Find the third derivative of 7*h**6 - 7*h**4 - p*h**2 + 7*h**4 wrt h.\nAnswer: 840*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 178 a factor of 201318?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ybkbwyqwktyb. What is prob of sequence wtw?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1 + 0.7. Suppose 3*c - 5 = -2*c. What is the closest to c in -1\/3, h, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 290?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3*h**4*n - 6*h**4 - 134*h**3*n + 2*h**2 + 1241*h + 2*n wrt h?\nAnswer: 72*h*n - 144*h - 804*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = w**3 + 12*w**2 + 3*w + 41. Let x be c(-12). Let d(s) = s**2 - 4*s + 5. Let r(f) = 3*f**2 - 13*f + 15. Let a(n) = -11*d(n) + 4*r(n). Calculate a(x).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -10502 - -86502. Suppose 2*x = 2*o + 3*x - 7, 4*x = -5*o + 19. Suppose -7*a + o*a = -y. What is a rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (((-88)\/(-6))\/(15\/(-45)))\/(16\/(-1128)) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -k + 4*z = 4*k - 10, -8 = -4*k + z for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (59924 + 0*q**2 - 59897 - q**2)*(-5*q + 0*q + 4*q) to the form n*q + l*q**3 + j + i*q**2 and give n.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 40*l + 20 = 45*l, 5*l - 24 = 2*i + 2*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = y**3 - 6*y**2 - 7*y + 5. Let o be r(7). Let h be (-4)\/o*(-14)\/56. Which is the smallest value?  (a) -3\/4  (b) 5  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18756324 is divided by 86.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-24)\/(-9) + (-6)\/9. Suppose -y*p = -5*p. Factor 0 - 2\/5*q**3 - 1\/5*q**2 + p*q - 1\/5*q**4.\nAnswer: -q**2*(q + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 3, z: 1, a: 1, p: 2}. Give prob of picking 1 z, 1 a, and 2 p.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 16 - -77. What are the prime factors of l?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 289714 to the nearest integer?\nAnswer: 538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 468868518.\nAnswer: 2, 3, 569, 45779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -66 and 0.043?\nAnswer: -2.838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*d**2 + 3*d**2 - 8*d**2 + 2 - 2 - 2*d**2 + (-2*d + 1 - 1)*(4*d - 3*d + d) - 4*d**2 + 6*d**2 + 4*d**2 + (-d + 0*d + 0*d)*(2*d - 2 + 2).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.09 + -1.99. Let p = a + 1.983. What is p rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2011 is divided by 68.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -4 + 6. Let n = g - 0. Let d = n + 3. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 18998 and 8?\nAnswer: 75992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -a**3 - 13*a**2 + 2*a + 9. Determine y(-13).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -41*y. Suppose -30 = 5*c + 3*v, 3*v = c + 4*v + 8. What is the remainder when i(c) is divided by (12*(2 + 22\/(-4)))\/(-2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 70081 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h - s = -0*s + 4, 0 = -2*h - s - 2. Suppose -3*r - 5*p = 3, 3*r + 2*p - 5 - 1 = 0. What is the least common multiple of ((-16)\/20)\/(h\/20) and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 8*(4\/(-62) + (-105606)\/(-2232))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -441250520 to the nearest 1000000.\nAnswer: -441000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 997, 989, 955, 883, 761, 577?\n\"Answer: -2*g**3 - g**2 + 9*g + 991","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-30)\/(-15) - ((-16)\/4 - -2). Solve -2*j = f*j - 18 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r and 1 h when two letters picked without replacement from mmrhmmmmhrmmmmrmrht.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*t = -4*k - 6, 5*k - 4*t = 6 + 2 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 110292 by -3939.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 1 t when two letters picked without replacement from dtdi.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -3*c**2. Let d(v) = -110*v**2. Calculate d(w(s)).\nAnswer: -990*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-80)\/(-48) + -20)\/(-1 + (-49)\/(-84))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -47 = -3*j + p, -j - 5*p = 4*j - 45. What is the remainder when 53 is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6)\/27 - (416\/72 + -6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 (base 2) in base 15?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -o**2 + 8*o. Let t be h(9). Let w = 9 + t. What is the nearest to w in -0.4, -4, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -4\/5, 0.3, 0.4, 650?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -131 or 262?\nAnswer: -131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*p**2 - 1578*p + 207507.\nAnswer: 3*(p - 263)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = c + 3*c, -2*c = 2*l - 162. Let b = 85 - l. Find the second derivative of 9*m**b + 8*m + 5*m**4 + 6*m**4 wrt m.\nAnswer: 240*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + (sqrt(32)*3 - (0 + sqrt(2) + 1)))**2.\nAnswer: -132*sqrt(2) + 278","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b - 7*b + 4*o = -16, b + 12 = -3*o. Suppose d - 2 + 0 = b. What is the lowest common multiple of 88 and d?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 126 divide 4142698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/7, 0.285, 325 in descending order.\nAnswer: 325, 0.285, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a = 66 - 70, -5*p + 51697 = -2*a. List the prime factors of p.\nAnswer: 7, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i**3 + 953*i**2 - 16811*i - 17765 = 0.\nAnswer: -1, 19, 935","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = 413*l - 833. Let n be h(2). Let t = -0.9 + 1. Which is the second smallest value?  (a) -1  (b) t  (c) n  (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 230639*h**3*q**4 + 62*h**3*q - 2610*q wrt q?\nAnswer: 2767668*h**3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -100335049 or -100335048?\nAnswer: -100335049","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 4, 7\/13, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = k**3 + 15*k**2 + 10*k - 29. Let r(c) = -c**3 + 5*c**2 - c - 3. Calculate the lowest common multiple of f(-14) and r(3).\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (0 - 3\/(-2))*(58 + -22). Find the third derivative of -s*d**3 - 6*d + 32*d**6 + 3*d - 30*d**6 + d**2 - 3*d wrt d.\nAnswer: 240*d**3 - 324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 3201, 1701, 189, -1341, -2895, -4479?\n\"Answer: -b**3 - 1493*b + 4695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -90 times -478?\nAnswer: 43020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -27.077849 rounded to two decimal places?\nAnswer: -27.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 1260419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -4*n. Let q(g) = -85637*g. Calculate z(q(b)).\nAnswer: 342548*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 - (4 - 2) - (-40 - -35).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 24202.131 months in years?\nAnswer: 2016.84425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 1000201032303 (base 4) to base 6\nAnswer: 1402302243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -19022 + 19026. Let s = 113 + -568\/5. Sort m, -4, -8, s.\nAnswer: -8, -4, s, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/t**(-28))**(2\/69)*t**(-4\/5)\/(t\/t**21) assuming t is positive.\nAnswer: t**(6914\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (-21 - 5 - (-36 + 5)) + (8 - -48)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*w = 13*w + 240. Suppose 16*p + w = 21*p. Suppose -2*f = -8*f - p. Is f not equal to -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = 5*f**2 - 25*f**3 + 11 + 8*f - 2*f**2 + 19*f**3. Let n(q) = 2*q**3 - q**2 - 3*q - 4. Give 4*g(a) + 11*n(a).\nAnswer: -2*a**3 + a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*r**3 - 3*r**2 + 3*r**2 + (4 + 0 - 3)*(2 - 2 + 1)*(1 - 1 - 2*r**2)*(6*r - 14 + 14) to a*r**2 + b*r + c + d*r**3 and give d.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 4, v: 1, j: 2, g: 3, q: 2, i: 2}. Give prob of sequence ji.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 1850627 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12515032.\nAnswer: 2, 1564379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 673096929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*g + 4*u + 4, 0 = 3*u + 2*u for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -10959*v**4 - v**2 - 632*v - 2?\nAnswer: -131508*v**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -97\/1030 and -97\/13184.\nAnswer: 65920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 5060190353 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 5*w - 3*w = -13, -4*o - 3*w + 52 = 0. Suppose 4 = -3*s + o. Suppose 0 = -q - 0*q + s. Solve 1 = f + q for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -30 - 9*j**3 - 2*j**3 + 32 as f*j**2 + r*j**3 + h + w*j and give r.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 26340\/29 + -1815\/2. Let a be (-5 - -371)*4\/(8\/9). Let c = -19787\/12 + a. What is the common denominator of r and c?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -7*d**4 + 1098202*d**3 + 21*d**2 - 4*d + 45012?\nAnswer: -168*d + 6589212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 7\/24 and -73\/15.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 1 r when two letters picked without replacement from rjowjrjohjljjjojjjjj?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3555.2 + 2839. What is n rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = h**3 + 13*h**2 + h + 41. Let v be w(-13). Let d = v - 9838. What is d rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000199871 to six decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r + 5*t - 4*t = 1, -r - 2*t - 2 = 0. Let n(m) = -5*m. Let q be -1*(1 - 0 - 6). Let f(i) = 11*i - 1. Let h(x) = q*n(x) + 2*f(x). Determine h(r).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.16 - 11.84. Let c = 17 + b. Let w = 5.5 - c. What is the third smallest value in w, -0.2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1628 and 1191114804?\nAnswer: 1628","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:28 PM and 10:41 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -7907.012967 - -7907. What is t rounded to three decimal places?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 - -13) + -14 + (30 - 21)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16177889.\nAnswer: 7, 13, 109, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -1.60796 and -297526?\nAnswer: 297524.39204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 16 + 1616624?\nAnswer: 161663a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) be the second derivative of -u**3\/6 - 2*u**2 - u. Let o(y) = y**3 + 8*y**2 + 9*y + 7. Let a be o(-7). What is the units digit of l(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -40815, -40776, -40737?\n\"Answer: 39*t - 40854","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-346)\/1211 - (-30)\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((0 - -4) + -7)\/1. Let k be 15\/60 + (f\/(-2) - 2). Suppose 2*u + 2*d + 2 = -0*d, 0 = -3*d - 9. What is the nearest to u in 0.4, k, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 6*k + 12. Let g(n) = 6*n + 11. Let r(f) = -3*g(f) + 2*s(f). Is r(-3) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -161*h - 140*h = -277*h - 576 for h.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2036.2 + -2034.2. Sort a, -1.1, -0.8 in decreasing order.\nAnswer: a, -0.8, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) be the first derivative of -t**4\/8 - t**3\/2 - 3*t**2\/4 - t\/2 + 6. Factor z(o).\nAnswer: -(o + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -5*a**2*f*n**2 + 25*a**2*f + 209*a**2*n**2 - 46*a**2*n - a**2 + 80*a*f*n + 3435*f*n**2 - f*n wrt n.\nAnswer: -10*a**2*f + 418*a**2 + 6870*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 20947.598 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14*-49432.\nAnswer: 692048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.7739712 to 2 decimal places.\nAnswer: -0.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 3 z when four letters picked without replacement from {z: 3, x: 12}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 968 and -37?\nAnswer: -35816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -25.8 + -87.3. Let a = b + 118. Let u = 4.9000049 - a. What is u rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 9269 and 24572832.\nAnswer: 713","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qy when two letters picked without replacement from ynqynqyynylylynqy?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r + 20 = 6*u - 2*u, 3*u = 4*r + 8. Let v(m) = m**3 - 8*m**2 + 2*m - 1. Is v(u) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 40 and 8400460?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.7271615 and 4?\nAnswer: 2.908646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5418?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) be the first derivative of -v**4\/8 - 155*v**3\/6 + 118*v**2 - 158*v - 864. Factor g(y).\nAnswer: -(y - 2)*(y - 1)*(y + 158)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 71463672?\nAnswer: 2, 3, 7, 141793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 107464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g - 4942 = 5*x, -x + 14*g - 16*g = 986. Let v = 990 + x. Suppose -2*o = 3*o - 25. Solve -u - 4 = -v*u + 4*i, u - o*i - 5 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 75324693299 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -115735 = -107*i - 117126 for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 18 and 1926.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = 2*f - 3. Let r be n(-4). Let q be (-6)\/(-15)*1*(r - -16). Suppose 4*h - 196 = d, -205 = -5*h + q*d + 43. Is 16 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3 + -4. Let y = 3 + l. Let f = y + 4. Which is bigger: -4\/3 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.27 - 0.03. Let z = 6 + -6.3. Let q = k - z. Is 3 < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = 116*k**2 - 8*k - 32. Calculate f(1).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (14\/33)\/(12\/9) and -95\/22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 99\/112 and 1054\/(-36) + (-4)\/18.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.07 + 0.49. Let c = 0.06 - u. What is the nearest to 0 in 5, -2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = 2295*m + 29820. Give n(-13).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -539*q**2. Let s(h) = -9*h**2 - 14*h. Calculate s(n(b)).\nAnswer: -2614689*b**4 + 7546*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -20 + 24. Calculate the least common multiple of 4 and c*1\/12*18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-1)\/(-3))\/((-6)\/(-36)). Suppose -3*x + 51 = -2*x + o*t, -3*t + 48 = x. Does 19 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s - 3*s = 0. Suppose -4*w + 24 = 3*j, -5*w - 5*j = -s*w - 35. Suppose 0 = -7*b + 2*b + 5, -26 = -4*v - 2*b. Solve v = w*r - r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -67 (base 11) in base 10?\nAnswer: -73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -q**3 + 5*q**2 - 8*q + 1. Let o(k) = -k - 1. Let s(n) = -l(n) + 6*o(n). Let z be s(5). Let f = 25 - 23. Solve 5*j = -4*d, -z*j = d + f*j for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 124, 286, 486, 742, 1072, 1494, 2026, 2686?\n\"Answer: 3*v**3 + v**2 + 138*v - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -91.2874436 - -91.269. Round n to 4 decimal places.\nAnswer: -0.0184","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -z**3 + 4*z**2 + 2*z + 15. Let h be v(7). Let s = 194 + h. Which is smaller: s or 77?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -549881\/30 - -18327. Calculate the common denominator of s and (-4)\/(-14) - (-1250)\/(-308).\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = 4*x + 449, -3*x + 161 = 2*l - 737. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r - 1 = -2*y, -2*r + 1 = -y - 0. Let g be 3\/(y\/(4\/(-3))). Which is the second biggest value?  (a) 0.2  (b) 3\/5  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9705358853 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -239*d + 3457805 = -226*d. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30 a factor of 1517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -d - 4 - 1. Let v = -1 - d. Let x = v - 0. Solve 0 = y + 6 - x for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -23*c + 189. Let b(t) = 63. Let k(j) = -3*b(j) + f(j). Let v(o) = -330*o. Calculate k(v(x)).\nAnswer: 7590*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 39 minutes after 1:13 AM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 5*i**3 + 7*i**2 + 23*i + 124. Let g be y(-5). Are g and -443 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + 40 = 5*g, 3*b + g - 6 = 4*g. Suppose -2*m + 24 = b*v - 5*m, 3*v - 3 = -2*m. What is the third smallest value in 1, -0.1, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p = -5*o + 5*p - 40, 0 = 5*o - p + 50. Let s = o - -15. Let g(k) = k**3 + 5*k**2 - 7*k - 1. Let c be g(-6). Put s, c, -5 in increasing order.\nAnswer: -5, s, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-405)\/(-945))\/((-178)\/21). Is t greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ag when two letters picked without replacement from {g: 1, a: 1, n: 1, p: 1, i: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -16 + 17. Let p be (-6)\/u + 0 + 2. Let y be -4 - p - 19\/(-1). Calculate the highest common divisor of y and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + -5 + (-3 + 2 - -5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 15*h - 13*h - 30. Suppose 2*j - 6*j + a = -h, 2*j + 2*a - 10 = 0. Suppose -5*d = -4*o + 109, -7 = d - j*o + 18. Does d = -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = a + a + 6. What is the common denominator of (-2)\/a*(-15)\/8 and (-3)\/((-30)\/(-4))*28?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -11*g + 21. Let f be u(9). Let h = f + 80. Solve 0 = h*z - 5*p - 3, 0*p - 4*p - 1 = -3*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ad when two letters picked without replacement from dxxoxan?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 39*b**2 - 2. Let v(r) = 329*r**2 - r - 8. Let n(a) = -v(a) + 4*x(a). Let s(m) = -11*m. Determine n(s(h)).\nAnswer: -20933*h**2 - 11*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6548272.\nAnswer: 2, 409267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = s + 10. Let v(j) = -j - 20. Let p be v(-9). Calculate n(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ht when two letters picked without replacement from {h: 6, t: 7}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 17\/2 of a centimeter?\nAnswer: 85000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -32599043\/3 or -10866348?\nAnswer: -10866348","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4 by -2052.\nAnswer: -1\/513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*4*sqrt(2) - sqrt(12)\/sqrt(24).\nAnswer: -17*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 47 - 33. Solve 4*m - 2*f - i = 0, 7 = -m - 3*f - 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -2*v**2 + 3*v + 8. Let x(s) = -2*s**2 + 2*s + 7. Suppose 4*l + 4 + 4 = 0. Let z(u) = l*y(u) + 3*x(u). Find the first derivative of z(m) wrt m.\nAnswer: -4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 327 and 436?\nAnswer: 1308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -458 + 456. Suppose 4*s - 1028 = 3*n, -3*n + 0*n - 4*s = 988. Let i be n\/14*(-1)\/(-10). Are i and u nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -7966 + (1*(-3 + 6))\/(-3). Round n to the nearest one hundred.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -5634 - -5633.97. What is the fourth smallest value in 1, 0.1, w, 2\/7, -3\/2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 53*y - 935*y**3 + 380*y**2 - 45*y**5 - 1435*y**2 - 345*y**4 - 60 - 493*y = 0. What is y?\nAnswer: -3, -2, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5559549825.\nAnswer: 3, 5, 74127331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 180686 is divided by 59622?\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 1754 = 2*y, y - 476 - 410 = -4*p. Suppose -y = -5*t + 1021. What is the hundreds digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1903626 divided by -34?\nAnswer: 55989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -h - 3, h + 8 = -g + 7. Sort 1, -5, g, -2 in increasing order.\nAnswer: -5, -2, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fav when three letters picked without replacement from davyfyh.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 115 minutes after 3:31 AM?\nAnswer: 5:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -12198, -12187, -12176, -12165, -12154, -12143?\n\"Answer: 11*z - 12209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 2*r + 37. Let n be v(-11). Suppose 5*z + n = 20, 15 = a + 5*z. Solve 0*q - a = 2*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -191914, -1, 3, -60 in ascending order.\nAnswer: -191914, -60, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 2*o = 8, 4*u - 3*o + 1 = -21. Let j(s) = -2*s - 7. Let y be j(-6). Which is the third biggest value?  (a) -0.3  (b) u  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) be the third derivative of a**11\/665280 - a**10\/151200 + a**9\/120960 + 7*a**5\/30 - 3*a**2. Let w(j) be the third derivative of q(j). Factor w(b).\nAnswer: b**3*(b - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 393043?\nAnswer: 7, 56149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 906 + -189.\nAnswer: 717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*q = -3*c + 18, 165*q - 2*c - 10 = 164*q for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -970 - 6?\nAnswer: -976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -98 times -0.13?\nAnswer: 12.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 80 + -46. What are the prime factors of s?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 660 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -32 - 4*g + 3 - 7 - 74. Let l be d(-28). Solve 0*c + l*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2 + 3. Let v(z) = z**2 + 7*z - 18. Let f be v(2). Let w(g) = 449 + f*g - 447 - g. What is w(k)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11089361 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) be the first derivative of -3\/2*a**2 + 4 + 3\/2*a**6 - 3\/2*a**4 + 0*a - 12\/5*a**5 + 4*a**3. Determine h so that b(h) = 0.\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 3\/5  (b) -0.4  (c) 3091  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -2*z. Let p(x) = -49*x. Determine p(n(o)).\nAnswer: 98*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3145*x = -40824 + 260974 for x.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j - 4*o = -98, 5*j - 8*j + o + 133 = 0. What is the first derivative of 112 - 45*d + j*d + 143*d**2 wrt d?\nAnswer: 286*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((2400\/14)\/1)\/((5 + -7)\/(-348950)). Round d to the nearest one million.\nAnswer: 30000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000051937825 to seven decimal places.\nAnswer: -0.0000519","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32*y + 9 = -23*y. What is the greatest common divisor of 30 and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 144623 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 274438 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (8 + 120\/(-16))*((-93)\/220 + (-10)\/(-25))?\nAnswer: -1\/88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17\/4 of a meter in millimeters?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 135\/735*(-4)\/((-192)\/(-164)). Let z = 6\/49 - l. Factor z*d - 21\/8*d**2 + 0.\nAnswer: -3*d*(7*d - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 194*v - 186*v + 40 = 0. Let t = 41.7 - 43. Let r = -18 - -17. Which is the closest to r?  (a) t  (b) 0  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1*((-20)\/25)\/((-52)\/10). Which is the smallest value?  (a) -0.05  (b) -2  (c) -0.4  (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1 - (-2950)\/2860)*12. Which is greater: h or -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 4*1 - (19 - (18 + -7)). What is the closest to 0.1 in x, 1.5, -2\/23, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -284, -344, -384, -404, -404, -384?\n\"Answer: 10*v**2 - 90*v - 204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -516404 = 15*r - 106004. Round r to the nearest 1000.\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*h**5\/3 + 533060*h**4\/3 + 3198005*h**3\/3 - 18655810*h**2\/3 + 25585340*h\/3 - 10660600\/3 = 0 for h.\nAnswer: -106606, -10, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 x and 1 i when three letters picked without replacement from kknxinikkx.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 350 = 8*i - i. Suppose -8*f + 64 = -5*q - 6*f, -4*q = -f + i. Is 13 a factor of (-39 - -2)\/(-1) + (q - -14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1.7, 0, 7 in descending order.\nAnswer: 7, 1.7, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 - (34 + -45 - (-5 + 1)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q - 5*x + 490 = -0*q, -3*q - 740 = -5*x. Let p be (-120)\/q + 2\/(-5). Is p equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.06, 1, -298.8, 1\/3 in increasing order.\nAnswer: -298.8, -0.06, 1\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 1149397031 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 21669054?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12 = 10*p + 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 15, -3, 28644 in ascending order.\nAnswer: -3, 15, 28644","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.4 + -0.1. Let k = -6.5 - -8. Let l = -1.5 + k. Which is the closest to l?  (a) -2\/21  (b) y  (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -68, -74, -82, -92, -104, -118, -134?\nAnswer: -152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 103\/80320 and 53\/8032?\nAnswer: 80320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-9570)\/(-7))\/2 + 8\/(-14). Suppose u - 6*h + h - t = 0, 3*u + 5*h = 1969. What are the prime factors of u?\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 89\/32 and 67\/812.\nAnswer: 6496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 988 and 1663298.\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1069758, 1069767, 1069780, 1069797, 1069818?\nAnswer: 1069843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*a**3 + 2*a**3 + 3*a**3 + 8*a**3.\nAnswer: 15*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -3  (b) -10830  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 87*t**2 - 267*t**2 + 88*t**2 + 92*t**2 + 3*t**3.\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find l, given that -5\/2*l**5 + 40 + 155\/2*l**3 + 325\/2*l**2 + 15\/2*l**4 + 135*l = 0.\nAnswer: -2, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 609?\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1206189385.\nAnswer: 5, 31, 1811, 4297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -2*x**3 + 9*x**2 + 4*x + 9. Let n(z) = -z**3 + 4*z**2 + 2*z + 4. Suppose 8 = 5*y - 3*y. Determine y*d(v) - 9*n(v).\nAnswer: v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*i + 565 = 8*i - 4*x, -4*i + 2224 = 2*x. What is i rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 21, 42, 77, 132, 213, 326, 477?\nAnswer: 672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -2*u**2 - 26*u - 27. Let p be x(-12). What is the third smallest value in -4, 0.2, p?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*a = -2*a - 4*v + 2, -35 = 4*a - 5*v for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -5523657*b**3*f**3 + b*f**3 - 8*b*f**2 + 836*f**3 + 10*f wrt b?\nAnswer: -33141942*b*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(1377) + (-2*sqrt(1377)*-1)**2 + (sqrt(17) + -3 + -2)*-3.\nAnswer: 6*sqrt(17) + 5523","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 minutes before 6:45 PM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 299 is divided by 153.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = z**2 + 2*z - 17. Let q(a) = 15*a**2 + 682*a - 168. Determine 10*h(l) - q(l).\nAnswer: -5*l**2 - 662*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 4*y = -322768, -43027 = -4*x - 4*y + 279717. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1644.\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 4 + 1)*(-1 + 1 - 2*b) + 12*b + 0*b - 3*b + (-2*b - b + 4*b)*(1 - 2 + 2).\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-46422)\/(-12)*88\/11. Suppose -3*u + m = 9*u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) be the first derivative of -t**2 - 2*t + 2. What is the units digit of b(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + 0 = 22. Let m = 1 - v. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k = -0*k - 21. Suppose 3*c - k - 85 = -5*r, -5 = 5*r. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -53*m - 30. What is the tens digit of v(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 30 + -9. Suppose 2*f = -5*p + 24, 2*f - 4*f - 2*p + 24 = 0. Calculate the remainder when i is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10101100100101010100 - -1011001011?\nAnswer: 10101100110000011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -1 - -ecc?\nAnswer: ecb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d*d**(-34))\/d**(-2\/17))\/(d**(-9)*d**(-5\/2)))**31 assuming d is positive.\nAnswer: d**(-22537\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 4966589 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert -49b72 (base 12) to base 10.\nAnswer: -100166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -p. Let u be b(-5). Suppose x = -u, -3*a - x - 17 = 6. Let z(f) = 27222*f**2 - f + 2. Let i be z(a). Round i to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 8743?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(336)*-1)\/((sqrt(27)\/sqrt(3))\/sqrt(3)).\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 9, l: 7, b: 2}. Give prob of picking 2 j.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 32 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 0.1, -2\/7, -0.032, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -18\/5, -3, -3\/92, 0.4 in descending order.\nAnswer: 0.4, -3\/92, -3, -18\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 2613*w - 1309*w - 1303*w. Let p(r) = 4*r**3 - 6*r. Suppose -1 = 3*q - 4. Let g be -1*(2 + q)\/3. Give g*p(l) - 6*z(l).\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*p**3\/15 - 1126*p**2\/5 + 4512*p\/5 - 13544\/15 = 0. What is p?\nAnswer: -1693, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -963808, -1, 3.\nAnswer: -963808, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 1097869*t**2. Let g(d) = 11*d**2. Give v(g(b)).\nAnswer: 132842149*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 396 - 363. Calculate the highest common divisor of 132 and o.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(((sqrt(640) - (sqrt(640) - 2*sqrt(640)))*-3)\/(sqrt(6)\/sqrt(768)))**2.\nAnswer: 2949120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*o - 2*c - 204, 4*o = 4*c - 7 + 163. Suppose 15*a - 18*a = o. Let r = a - -101. What are the prime factors of r?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a + 99688 = -35807. Suppose 7*n + 36113 = 11*n + x, -3*n = -4*x - a. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -9049, -18152, -27255, -36358, -45461, -54564?\n\"Answer: -9103*k + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 9, 1, -11, -78, -4, -5 in descending order.\nAnswer: 9, 1, -1, -4, -5, -11, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y = y + 5. Suppose 6 = -3*o - 2*l - 15, -y*l = 15. Let q be (o\/(-10))\/((-2)\/3640). What is q rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-3)\/(-4) - (-18)\/(-24). Is 14 a factor of -28*((-6)\/4 - c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4.5 + 1.5. Let i = 5.999972 - p. Round i to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 + (1 - (-6 - -19)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/8?  (a) -3\/5  (b) 1\/228  (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1155786563?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -11103054 or -11103056?\nAnswer: -11103054","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bm when two letters picked without replacement from mmyymmmgmmmdmmbmm?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 74*r - 78*r - 4 = -4*f, 0 = 2*f - 40*r + 150 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 60 and 52.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-o - 2*o + 12*o)*(-31*o - 3*o**2 + 13 + 34*o + 4*o) to t + c*o**2 + h*o + d*o**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 628 minutes after 7:26 AM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -3, -71, 2, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*a**2*x**3 - a**2*x**2 + 3*a**2 - 14788*a*x**3 - 2*a*x**2 - 15*a*x + 425*x**3 - 5751*x**2 wrt x.\nAnswer: -12*a**2 - 88728*a + 2550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = 2*v**2 + 4*v + 4. Let w be p(-4). Solve -2*x = 2*x + w for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1779069557 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (30\/9)\/((-2)\/(-15)). Let o = k - 4. Calculate the greatest common factor of o and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2170349 a multiple of 1540?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Determine d, given that -5*d**3\/4 - 14352935*d**2 = 0.\nAnswer: -11482348, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 39\/((-2)\/12 - (-8)\/32). Suppose -z = -9*y + 3*y. List the prime factors of y.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 24338, 97343, 219010, 389333, 608306, 875923, 1192178, 1557065?\n\"Answer: -x**3 + 24337*x**2 + x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 71526, 143070, 214650, 286284, 357990?\n\"Answer: 3*c**3 + 71523*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1206363989 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -260999*o**2 - 51*o + 3. Let j(p) = 2*p. Calculate j(i(d)).\nAnswer: -521998*d**2 - 102*d + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) be the second derivative of 0 - b**2 + b + 1\/6*b**4 + 0*b**3. Let m(c) be the first derivative of q(c). Let y(h) = -h. What is m(y(r))?\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find w, given that w**3 + 140*w**2 + 813*w + 1206 = 0.\nAnswer: -134, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) be the second derivative of -q**3\/2 - 47*q + 2. Let y be s(-1). Put y, 0.016, -4 in increasing order.\nAnswer: -4, 0.016, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-17)\/(833\/154)*(-21)\/12. Let w(d) be the first derivative of 15 + 0*d + j*d**2. Let y(m) = 2*m**2. Calculate y(w(b)).\nAnswer: 242*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -7546*t - 277. Is 47 a factor of o(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -47*h - 1328 + 811 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = x**3 + 12*x**2 - 14*x + 5. Let z be b(-13). Let a = 140 - 143. Let s be (4 + a)*(-5)\/(15\/(-6)). What is the greatest common divisor of z and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 3686?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand -11*s + 4*s - 6*s + (3 - 3 - s)*(1 + 3 - 2) + 3*s + 48*s + 3*s.\nAnswer: 39*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Determine q so that q**2 + 3651*q - 10962 = 0.\nAnswer: -3654, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*j = -22*j + 74. Let b = j - 8. Calculate the highest common divisor of b and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 54 + 6. Let g be (-396)\/d + (-2)\/5. Let y(v) = -5*v. Is y(g) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -7\/32 + 145\/224. Which is the closest to -0.1?  (a) -3\/7  (b) -5  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 264, -6 in decreasing order.\nAnswer: 264, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 9, 25, 65, 141, 265, 449, 705, 1045?\nAnswer: 1481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = 109*w**3 - 2*w**2 - w + 2. What is the remainder when p(1) is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(850)*2 - sqrt(850))\/(-1*sqrt(6)\/sqrt(3)).\nAnswer: -5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-4)\/6*(-91344)\/16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 7730, 15472, 23214, 30956, 38698, 46440?\n\"Answer: 7742*g - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -10*y + 262. Let o be s(25). Let z = 258 + -487. Let m = -145 - z. Calculate the greatest common factor of o and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-10)\/(-15) - (-68)\/(-12). Let v be (-5 - i)\/(4\/(-2)). Solve -3*s + 0 = 4*n + 1, -s - 2*n - 3 = v for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - -58) + (-26 - 15)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1884 - 414. Suppose 0*h - j = -3*h + b, 0 = 2*h + 2*j - 972. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 6*u + 2 = u, 0 = -3*h - u + 11. Suppose -4*a + 3*w - 17 = -8*a, -5*a + h*w = -1. Suppose 6 = -2*z - 0, -521 = -5*l + a*z. Does 5 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*o - 240519 = 29*v - 240350, 61 = v + 11*o for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0*6\/(-36) - (-2)\/10.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 36*(102\/8 + (-130 - -134)). What is the highest common divisor of g and 8643?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (1\/5)\/((-1)\/12). Let z = 191216 + -191215. What is the second biggest value in z, n, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 955787217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 25562?\nAnswer: 2, 12781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -40 + 40. Let l(o) = -5 + u*o + 6 + o + 14. Let z be l(-4). Is -1 at least as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 19505764?\nAnswer: 2, 4876441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 861289086?\nAnswer: 2, 3, 7, 2969, 6907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-3\/7)*c)**(-1) assuming c is positive.\nAnswer: c**(-4\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -301*g + 2125 + 2089 = 0 for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16 + -18 + -31 + 23.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 10 + -1132142?\nAnswer: -1132132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 101, 148, 223, 326, 457, 616?\nAnswer: 803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) be the second derivative of t**5\/20 - t**4\/4 - 5*t**3\/3 - 27*t. Let i be r(5). Factor 0*y + i - 1\/2*y**2.\nAnswer: -y**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -6 + 9. Suppose -7*k + 24 = -11*k. Let s be (-34)\/k - (-8)\/(-12). Sort s, a, 0.5 in ascending order.\nAnswer: 0.5, a, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 0*(3 - (-32)\/(-12)). Suppose 2*b - 4 + 2 = s. Is b greater than -2\/145?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1382*f**3 - 4*f**2 + 16450*f.\nAnswer: 8292*f - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -71\/10 and -87\/3640?\nAnswer: 3640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor g**4\/2 + 6*g**3 + 18*g**2.\nAnswer: g**2*(g + 6)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*k = -7*k - 84. Let f(c) = -c**2 + 3*c + 1. Let z be f(8). Let h = z - k. Is h a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1514\/9 + 168. What is the closest to 0.1 in -14, 3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/4 in -0.5, -3\/4, 1\/22, -216?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 1520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 5, -1\/3, -43?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3832434991?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*j**3 + 966*j + 122*j**2 - 966*j + 2 + 575*j**2 as i*j**2 + y*j**3 + z + f*j and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-450)\/70)\/9*4\/10.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -10*18\/225 + 444\/(-495) and 32\/23.\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -3\/5 bigger than 3\/46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -9*o**2 - 5*o - 7. Let p be k(-2). Let j = p + 79. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s + 3*p = 60963, -20329 = -s - 38*p + 33*p. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -20.94 - -21. Let w = 0.21 - x. Let n = -0.05 + w. Which is the nearest to 0?  (a) 5  (b) n  (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -229554 divided by 2943\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2762 = -5*z - 4*m, 9*z = 5*z + 5*m + 2185. What are the prime factors of z?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*u**2\/3 + 3572*u\/3 + 1594898\/3.\nAnswer: 2*(u + 893)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 3192\/(-28) - (-2250)\/50\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 5.21 * -18\nAnswer: -93.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d - 30 = 351*g - 353*g, 0 = -d + 1. Solve -8 = 13*l - g*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 72 and 63.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 - (4 + 0)) + 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1693 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -127\/846858 and 131\/81954.\nAnswer: 2540574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 + 19 = 2*h. Let w = h - 4. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a = -3*d, 0*a = -2*a + 4*d for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2260672?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h = 3*h. Let a be (-1 + (-6)\/(-4))*h. Suppose s - 2*s + 5 = 2*c, 3*c = 6. Put a, -0.5, s in descending order.\nAnswer: s, a, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.8 in 0.3, -0.2, -1\/119, 1, 39\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -31*p**4 + 6*p**3 - p**2 - 6*p + 6. Let r(y) = -y**4 - y**3 - y**2 + y - 1. Let j(x) = -6*r(x) - t(x). What is the third derivative of j(i) wrt i?\nAnswer: 888*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15605 divided by -7.\nAnswer: -15605\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*s + 20 = 0, -56*x + 5*s + 34 = -52*x + 5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24*p = 22*p - 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) be the third derivative of 0*v**3 + 1\/24*v**4 - 2*v**2 + 0 + 0*v. Let y(c) = c. Determine y(k(h)).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -223*d + 178. Let k(a) = -a - 1. Suppose -10*y - 19 = 11. Let x(v) = y*k(v) - b(v). Find the first derivative of x(p) wrt p.\nAnswer: 226","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange r - 4*r**4 + 5*r**4 - 2 - 2*r**4 to the form z*r**2 + t*r**4 + b*r**3 + l + n*r and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 997 divided by 4?\nAnswer: 997\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = 9*j - 5. Let v(g) be the second derivative of 11*g**3\/3 - 6*g**2 + 7*g. Give -12*c(t) + 5*v(t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -24, 1, 52, 135, 256, 421, 636, 907?\nAnswer: 1240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 83 divide 526801?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = 4*u**2 + 4 + 16*u**2 - 17*u**2. Let x(j) = -14*j. Calculate x(r(k)).\nAnswer: -42*k**2 - 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.3?  (a) 42  (b) 4  (c) 3  (d) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = z**2 + 7*z - 12. Let y be g(-6). Let i be y\/(-63) - (-13)\/(-21). Which is the nearest to i?  (a) 1  (b) 2\/15  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1.3 + -0.7. Let i = -0.52 + h. Let t = -0.28 + i. Which is the smallest value?  (a) t  (b) -1  (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 142, 135, 128, 121?\n\"Answer: -7*u + 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-18 + 18 + 9*k**2)*(-4*k**3 + 5*k**3 - 2*k**3) + 6*k**5 - 41*k**2 + 41*k**2.\nAnswer: -3*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 118004553.\nAnswer: 3, 53, 82463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -5, 4, 39.\nAnswer: -5, 0, 4, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2472 + 7*u - 35*u**2 + 27*u**2 + 44*u**2 with respect to u.\nAnswer: 72*u + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 592\/9 - 66. Let g(j) = j + 8. Let t(r) = -2*r - 16. Let l(s) = 11*g(s) + 6*t(s). Let w be l(-4). Which is the third smallest value?  (a) 2  (b) w  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -79414 * -3\nAnswer: 238242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 123672971.\nAnswer: 251, 492721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/65375, 2\/15, 5, 0.2, -4.\nAnswer: -4, 2\/65375, 2\/15, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -3336200*r - 7. Let j(i) = 4*i. Give x(j(n)).\nAnswer: -13344800*n - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find d such that -d**4\/2 + 23603*d**3\/2 - 139334397*d**2\/2 + 696223593*d\/2 - 417649203 = 0.\nAnswer: 2, 3, 11799","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fn when two letters picked without replacement from {d: 2, s: 1, f: 1, n: 1, t: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m = -5*s - 23, -2*s - 16 = 5*m - 10*m. Let o(v) = v**2 + v - 3. Let n be o(-3). Solve m*d - n*d + 2*f = 1, 0 = -4*d + 2*f - 4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 3*t**2 - 1. Let i(j) be the third derivative of -j**5\/60 + j**3\/6 - 59*j**2. What is -3*i(v) - 3*s(v)?\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 121021201 (base 3) to base 7\nAnswer: 46420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-50 + 77 - 136) + (5 + 1 - (-2 - -7))\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ii when two letters picked without replacement from ijtiqtl?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*d + 30989 = 4*m + 31012, -3*d + 29 = 2*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u + o - 33 = 0, -34*u + 31*u - 62 = -4*o. Let p(t) = -13*t - 85. Determine p(u).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 166132806 and 18207.\nAnswer: 6069","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -18 + (25 + -8 + -4 - 5).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 + (0 - -1) + -4 + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1196?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6614, -12828, -19048, -25274?\nAnswer: -31506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 91696 is divided by 2389.\nAnswer: 914","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 698936978 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q - 131 = -405. Let n = q + 198. What is the remainder when n is divided by (-390)\/(-18) + 2\/(-3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -21 + 14 + (-2 - 0 - -6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -16 - -47 - (418 - 377).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 69 minutes after 1:26 PM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -88*j - 33. Suppose -n - 17 = -2*n. Suppose -h - 18 = 2*a, 0 = 7*a - 4*a - h + n. Is s(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 350408?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*w + 7742 = 170*w. Solve -w*g + 10 = -44*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*d**5 - 7*d**5 - 2*d**3 - 8*d**5 + (-3 + 0 + 4)*(2*d**2 - 3*d**2 + 0*d**2)*(22*d - 18*d**2 - 22*d)*(-d - 8*d + 5*d).\nAnswer: -85*d**5 - 2*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Determine q so that 4*q**4\/7 - 17972*q**3\/7 - 361044*q**2\/7 + 17972*q\/7 + 361040\/7 = 0.\nAnswer: -20, -1, 1, 4513","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i and 3 u when four letters picked without replacement from uuuuuiiuiiuuiuuuuu?\nAnswer: 143\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) be the second derivative of z**3\/2 + 21*z**2\/2 - 3*z. Let t be k(-7). Suppose 4*r - 5*n + 15 = t, -9 = 5*r - n - 2*n. Are r and 3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 1, y: 1, l: 2, h: 1, m: 1, u: 1}. What is prob of sequence by?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -58 + (47 - -13) - 22?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-9 - -8)*(-18)\/(-5) + 3\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rwwr when four letters picked without replacement from bpbwrrybwwbbbyry.\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -7*j**2 + 9*j + 1. Let c be y(1). Suppose c*q - 4040997 = -b, -4*q + 7*b - 9*b = -5387994. Round q to the nearest one hundred thousand.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2592 + 371. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/77 in 0, 4, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -g**2 - 12*g - 5. Let k be l(-10). Let j = -5 + 2. Let w be k\/j*(-3 - -2). What is the highest common factor of 25 and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v = 3*y + 12, -5*v - 21 = y + 3. Let f(p) = -p**3 - 4*p**2 + 2*p - 5. Let h be f(v). Suppose h - 24 = -2*n. What are the prime factors of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 5 = 2*m + 1, 2*m = -5*x - 1. Let o = 24 - m. Solve o = 4*d + 28 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7041 is divided by 26.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:25 AM and 8:05 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -11058*v + 72. Let i be m(-16). Round i to the nearest ten thousand.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 78629 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1088 and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) be the first derivative of 7*b**3\/3 + 3*b**2\/2 - 2*b - 3. Let l(a) = -6*a**2 - 2*a + 2. Give 5*l(t) + 4*m(t).\nAnswer: -2*t**2 + 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5 = 829*v - 834*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 3652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -168, -1, -4, -120\/37, 0.5 in decreasing order.\nAnswer: 0.5, -1, -120\/37, -4, -168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*p = 47*p. Solve p = -15*t + 5 - 65 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = 11435*g + 491606. Determine v(-43).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 60*k + 57*k = 12, -5*t + 4 = 3*k. Let q(v) be the first derivative of 17 + 2*v**t + v - 1\/3*v**3. Determine q(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 423608998?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + 7\/35*15.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 30*y - 34*y + 116. Calculate the remainder when y is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 2777, 5551, 8325, 11099, 13873, 16647?\n\"Answer: 2774*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -128, -355, -582, -809, -1036, -1263?\n\"Answer: -227*d + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i - 5*p = 138 - 126, 5*p = -3*i - 9. Which is the nearest to 1?  (a) i  (b) 2\/5  (c) 3  (d) -0.051\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is p in -32*p**4\/15 - 47728*p**3\/15 - 5928214*p**2\/5 + 8901272*p\/15 - 1113032\/15 = 0?\nAnswer: -746, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -71\/156 + 55\/78. Let s = -9.74 + -0.26. Which is the second smallest value?  (a) s  (b) x  (c) 1  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 14118 and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2 - -1. Solve -f*y - 20 = -8*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 59\/4797 and 153\/50960.\nAnswer: 18804240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -21211120 - 2001?\nAnswer: -21220121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 1, u: 8, f: 11}. What is prob of sequence buu?\nAnswer: 7\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4?  (a) -4\/5  (b) -0.2  (c) 0.21  (d) -45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 2*n**2. Let a(k) = k**3 + 4*k**2 + 4*k + 2. Let i be a(-2). Let o(l) = -l**2 - 10*l + 10*l + 3*l**i. Give o(b(t)).\nAnswer: 8*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (90\/75*-1)\/(((-3933)\/(-90))\/23)?\nAnswer: -12\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 74200?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8, 5, 2, -3, -144 in decreasing order.\nAnswer: 8, 5, 2, -3, -144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 6*x**2 - 765*x + 3661. What is i(5)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is ff + 1b71c0?\nAnswer: 1b72bf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = d**3 - 7*d**2 + 7*d + 4. Let m be t(6). Suppose -2*y + 4 = 2*j + 2*y, -5*j - 2*y = -m. Sort 0, j, 1.\nAnswer: 0, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*p**22)**(-2\/13) assuming p is positive.\nAnswer: p**(-46\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 101\/130984 and 167\/15297060?\nAnswer: 214158840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-6)\/3 - (-7 + 1). Suppose -3*j = -1 + h. Let y(r) = -16*r**3 - r. Calculate the remainder when 50 is divided by y(j).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -2 + -b?\nAnswer: -d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 5 - 1)*(-7 - 11 - 33 - 2 + 0 + 0 - 1 + 3 - 1 + (4 + 1 - 3)*(-3 + 0 + 5) - 2 + 2 + 2)*(2*l**5 + l**5 - 2*l**5).\nAnswer: -92*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -c. Let i(j) = -36*j**2 + 52*j**2 + 49*j**2. Calculate i(d(x)).\nAnswer: 65*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -d**2 + 5*d + 5. Let l(j) = -41*j**2 + 84*j**2 - 21*j + 18 - 45*j**2. What is the remainder when l(-11) is divided by x(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3286138?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 = r - 2*g, 3*r - 3*g + 0 - 3 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 1.8 times -0.053\nAnswer: -0.0954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -841810.5616 rounded to the nearest ten?\nAnswer: -841810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*s + 2 = 21*s. Let c be (s + 2)\/(98\/21). Find t, given that 0*t + 0 + c*t**3 + 2\/7*t**2 + 6\/7*t**4 + 2\/7*t**5 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) be the first derivative of -m**2\/2 + 10*m + 3. Let u be i(13). Let r(g) = -g**3 - 2*g**2 - 2*g - 4. Give r(u).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 - 5 = -2*h. Let b(i) = -3 - i**2 - i - i**3 + h*i**2 + 8*i. Calculate b(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45*p + 49*p = 4388. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 487 + -487. Suppose o = 64*n - 67*n + 17163. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -122 - -117. Suppose 3*r = -2*r. Is (97 + r)*(6 + b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:55 AM and 7:05 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**10)**31\/(a*a\/(a*a*a**(-3\/5)*a)*a*a**16\/a) assuming a is positive.\nAnswer: a**(1472\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 800255 divided by -27595\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*y = -41*y + 15*y. Determine c, given that -10\/9*c**3 - 2\/9*c**2 + 2\/9*c**4 + 10\/9*c + y = 0.\nAnswer: -1, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -59\/18412 and -11\/1692.\nAnswer: 7788276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -24*p - 2*p**3 - 13*p - 34*p + 45*p + 3 + p**2 to the form y*p**2 + b*p**3 + t + a*p and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express -489 + 14*g - 2*g**3 + 980 + g**3 - 489 + 8*g**4 + g**2 + 0*g**3 as y + o*g + h*g**3 + x*g**4 + t*g**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ppppeempzq. Give prob of picking 1 m and 1 z.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 128 and 105056.\nAnswer: 420224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*h**2 + 24*h = 0.\nAnswer: -12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -4 - ((-22)\/5)\/1. Suppose 0 + 8 = -2*t. What is the third smallest value in t, p, 1\/6?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5 - 47315*z + 48949*z - 5 to the form w + p*z and give p.\nAnswer: 1634","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*l**2 - 13*l**2 + 19188186713831*l - 19188186713829*l.\nAnswer: -11*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(-4\/7)*o**(-4))\/(o*o**(-2\/3))**20)\/(o**(-3\/10)*o*o**(-2\/3))**(-2\/85) assuming o is positive.\nAnswer: o**(-33431\/2975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 at most 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**1\/h)**1\/((h*h\/(((h**(-2\/7)\/h)\/h)\/h)*h)\/h)**17*(h**(2\/21)\/h)\/(h\/h**(-1\/4))*(h\/(h*h\/h**(-1)))**(1\/2) assuming h is positive.\nAnswer: h**(-7813\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 7  (b) -4.5  (c) 4  (d) -4  (e) -0.03\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -113 + 113.0202. Round r to three dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*b**3 + 2*b**3 - b**3 + (6*b**2 - b**2 - 3*b**2)*(-b + b - 2*b) + 2*b**3 + 5*b**3 - 5*b**3 + b**2 - 2*b**3 - b**2)*(57 - 57 - b)*(-17 + 3 - 14).\nAnswer: -168*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 86128092?\nAnswer: 2, 3, 2392447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*v = -6*v - 6*v. Suppose v = 4*g - 8 + 16. Let p be 0 - 0 - 3*(g + 1). Solve 2 = 2*o - p*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 238, 62, -4?\nAnswer: 238","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -28 - (-2 + -7 + -5) - (1 - 7).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 40.89 - -6.05. Let y = m - 47. Round y to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -47676 or -238373\/5?\nAnswer: -47676","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -15713, -15767, -15845, -15941, -16049, -16163, -16277, -16385?\nAnswer: -16481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3078414519 - 3078416528.0537956. Let q = 2018.0538 + u. Let y = -9 + q. Round y to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 132 is divided by 20?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101 + -111001000000110000010110011?\nAnswer: -111001000000110000010101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -120.3 + -4723.1008?\nAnswer: -4843.4008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 122*z - 1924 - 27*z + 1924.\nAnswer: 95*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 1039214371 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 13\/(-26) - (-658)\/1100. Let l = -7\/25 + m. Which is greater: l or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0+-822703\nAnswer: -822703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + 0*d - 8 = -5*d, 4*d = 5*f - 11. Suppose -3*p + f*b = p + 3, 5*p + 4*b = 35. Let y be p - (0 - (-3)\/(-3)). Solve y = 7*x - 3*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:14 PM and 12:34 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1, 2\/3, -17, -597, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -123*i - 23185. Calculate t(-188).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -8, 4, 32, -4 in descending order.\nAnswer: 32, 5, 4, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = s - 4. Let w(a) = -7*a**3 - 2*a**2 - 2*a - 1. Let q be w(-1). Suppose -5*h + 4*j = -0*h - q, -2*j + 2 = 0. Calculate o(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -24.5 - -13.9. Let l = -4.4 + q. Sort l, 5, -0.4.\nAnswer: l, -0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = f**2 - 3*f - 4*f - 1 + 2*f**3 - 7*f**2 + 0*f. Let s be h(5). Suppose q - u + 3*u = s, 4*q = u + 292. Does 23 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 180 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 2*r**3 - 2*r + 11*r**2 - 2 + 3*r - 8*r. Let a be p(-6). Solve 0*m + a = m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 190675552 divided by -2416\nAnswer: -78922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -5*z - 73. Let h be t(-15). Suppose -3*c = 4*j - 127, 2*c + 2*j = -h*j + 86. What are the prime factors of c?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 92252353 is divided by 105.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -4 + 1*6\/2. Let m be (-23 - -13)*d\/(-2). Let a be 0\/((-2)\/((-5)\/m)). Solve a - 2 = -v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 4*s = 116, 4*h - 396 = -s - 0*s. Is h a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2848 - 1499. Let j = 1350.281 - h. What is j rounded to 2 dps?\nAnswer: 1.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o + 4*m - 215 + 28 = 0, 5*m - 15 = 0. Does 6 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1340 + -2138. Let j = -148 - q. What is j rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/(((t\/t**(-1\/3))\/t*t)\/t))\/t**(-1) assuming t is positive.\nAnswer: t**(5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 5192151 to the power of 1\/2, to the nearest integer?\nAnswer: 2279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1276 and 264?\nAnswer: 7656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 2*g**2 - 9*g - 3. Let z be r(7). Let a(x) = x + 24. Let l be a(-17). Suppose z = 3*p - 2*d, -3*p - 5*d = -l - 18. Does 3 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 59\/22 and 33\/149656.\nAnswer: 1646216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Determine m so that 4*m**2\/5 - 124*m\/5 + 432\/5 = 0.\nAnswer: 4, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**(4\/5)\/(m\/m**3*m) assuming m is positive.\nAnswer: m**(9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0 + 0 + 2*g + (-1 + 2*g + 1)*(-11 + 3 - 8).\nAnswer: -30*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -a**2 + 27*a + 28.\nAnswer: -(a - 28)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b + 32 = 5*b. Suppose -3*r - 14 = -3*k - b*r, -r + 16 = 5*k. Let o(j) = 5*j - 2. List the prime factors of o(k).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -45\/4 and 23\/3844?\nAnswer: 3844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) be the second derivative of 1\/3*f**3 + 14*f**2 + 0*f**5 + 0 + 0*f**4 + 1\/15*f**6 + 4\/21*f**7 - 32*f. Find the second derivative of h(s) wrt s.\nAnswer: 160*s**3 + 24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0, 1, 3, 0.22, -4, -57?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*a*c*d**2 - 6*a*d**3 + a - 183*c*d**2 + 2*c + 928 wrt d.\nAnswer: -4*a*c*d - 18*a*d**2 - 366*c*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19 = d - 2*f, -2*d + 4*d - 42 = 5*f. Solve 0 = -d*n + 12*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -s**3 + 4*s**2 - s - 4. Let y be w(2). Let h be (-1)\/(2\/20) + y. Let f(n) = -77*n + 7. Is f(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 334*h**2*n**2 - 5*h**2*n - 2*h*n - 9*h wrt n?\nAnswer: 668*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (105\/9)\/(-7)*24. Let f = -27 - k. Does 2 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -906*p - 546*p + 157*p + (p + 0 + 0)*(-1 + 1 - 1) to the form m + q*p and give q.\nAnswer: -1296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -41 - -47. Suppose 45*u = 46*u - x. Suppose -f + 0*v = 3*v - u, f - 12 = -5*v. Put 0, f, -9 in decreasing order.\nAnswer: 0, f, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -a**3 + 8*a**2 - 9*a + 12. Let p(b) = -b**2 - 8*b - 9. Let w be p(-5). Let i be f(w). Let j = 57 + i. Is j a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15805808 to the power of 1\/3, to the nearest integer?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: Let q be (-10)\/60 + 470\/12. Let y be q\/2*4\/6. What is the derivative of 7 - y + 7*z**2 - 6 - 1 wrt z?\nAnswer: 14*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -w + 9. Let t be v(7). Suppose -10 = -4*r - t. Let b(c) = -14*c**r - 6*c**2 + 17*c**2. Give b(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(121)*-3*-2 + sqrt(121))*3)\/(sqrt(132)\/(2*2*sqrt(12) - sqrt(12))).\nAnswer: 63*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 11 + -4. Let y(z) = -z**2 + 8*z + 7. Calculate the remainder when (1336\/(-20) + (-7)\/35)*-1 is divided by y(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 32*y**2. Let k(d) = 2*d**2. Calculate v(k(w)).\nAnswer: 128*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45 = 25*z + 180. Let b = 23\/3 + z. Let x = -1.5 - -10.5. What is the smallest value in 3\/5, b, x?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*a**10)**22 assuming a is positive.\nAnswer: a**242","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide 21066516 by -4.\nAnswer: -5266629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = 17*r. Suppose 0 = -3*m + 2*m + 1. What is the tens digit of i(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2 + 1. Suppose 0 = m*j - 4*j + 127. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x = 3*w + 5694 + 669, -8460 = -4*x - 2*w. What is the highest common divisor of 319 and x?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -h. Let k(x) = x + 1. Let q(g) = 6*g + 1. Let w(z) = 3*k(z) - 3*q(z). Give y(w(r)).\nAnswer: 15*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) be the first derivative of -894*c**5\/5 - 820*c**2 + 856. What is the second derivative of h(q) wrt q?\nAnswer: -10728*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 5287458?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*m**5 - 569032*m**4 + 9674576*m**3 - 17642040*m**2 + 8536500*m = 0.\nAnswer: -142275, 0, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 45364?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = 28 - 40 + 32 - 68*i + 66*i. Give h(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 3 - 7*(-1 - -6). Let a = 35 + p. Is 77*(-2)\/(-6)*a a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -241716 (base 11) to base 5\nAnswer: -44222421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + -10 + (-245 - -245)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -3*p**3 - 2*p**2 + p + 5. Let g be m(-4). Let a be -1*(-20 - (1 + 2)). What is the highest common factor of a and g?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m = 3*g + 2*m - 564, 3*g = m + 564. Let v = g - 99. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 11 and 139491?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find r such that r**3\/4 + 92100*r**2 + 33930008397*r\/4 + 33929271601\/2 = 0.\nAnswer: -184199, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -354, -715, -1078, -1443, -1810, -2179?\n\"Answer: -g**2 - 358*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = p - 3. Suppose -5 - 19 = -4*k. Give d(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 2746120085?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = 2*v - 8*v + 3*v + 12 + 4*v. Let u be p(-8). Let t(q) = -q + 5. Calculate the least common multiple of t(u) and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 2, f: 1, y: 5, g: 4, l: 4}. Give prob of picking 2 g.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 27248?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 5*m + 19. Let z be p(-6). Let u(j) = -j**2 - 2. Let a(f) = -f**2 + 7*f**2 + 11 + 0. Let s(q) = z*u(q) - 2*a(q). Let d(g) = 2*g**2. What is s(d(n))?\nAnswer: -4*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 30*d - 2*d**2 + 37*d + 43*d + 4042*d**3 - 1 - 110*d to the form s + j*d**3 + t*d**2 + q*d and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 4 + 10)*(-6*f**3 + 9*f**3 - 4 + 2).\nAnswer: 30*f**3 - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 427 in -134, -12, 3, -0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from aagaaaggaaaaaaagaa. Give prob of picking 1 g and 1 a.\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1197?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 7, r: 3, s: 3, i: 2}. What is prob of sequence ssr?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 25\/((-2100)\/63)*((-21)\/9)\/(-7)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = 8*l. Let x(j) = 7*j. Let q(w) = -w. Let z(a) = -20*q(a) - 4*x(a). Determine z(m(h)).\nAnswer: -64*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -22438, -44348, -65732, -86590, -106922, -126728, -146008?\nAnswer: -164762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -6\/5?  (a) 0.2  (b) 6  (c) -1\/4  (d) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from {d: 1, c: 10, o: 8}.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) be the first derivative of d**4\/4 - d**3\/3 - d**2\/2 + 2*d + 2. Calculate the remainder when 6 is divided by a(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -b*k**2*r**3 + 10915*b*k*r**3 + 5*b*r**3 + 4*b*r + 599*b + 2*r wrt k?\nAnswer: -2*b*k*r**3 + 10915*b*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 19570 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-12)\/(-40))\/(81\/225). Let p(m) be the third derivative of 0*m**4 + 0 + 0*m - h*m**3 + 1\/20*m**5 + 5*m**2. What is the first derivative of p(d) wrt d?\nAnswer: 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26*c + 24*c - 8 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/4?  (a) 208\/41  (b) 9  (c) -1\/44  (d) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 0.6306983 micrograms?\nAnswer: 630.6983","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 28\/21*(-45)\/(-2). Suppose 270 - 60 = k*c. Solve q = -0*q - c*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xluuxpmupmumplxumu. What is prob of sequence pxu?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*h = -2*h + 4. Let p = 110 - 101.7. Let l = p + -8. Which is the nearest to 0.1?  (a) -3  (b) l  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-2420)\/(-1195) - 2)\/3. Let s = a - -235\/478. Does s = -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) be the second derivative of -u**6\/120 + 3*u**5\/16 + 9*u**4\/8 + u**3\/6 - 9*u**2 + 1055*u. Factor o(i).\nAnswer: -(i - 18)*(i - 1)*(i + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -65*l - 17 - 5 - 9*l - 114*l.\nAnswer: -188*l - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -46943 and 1882857004?\nAnswer: 1882903947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*p - 32496 = -29*p. Suppose 0 = -12*a + 20*a - p. What are the prime factors of a?\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 58440494?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 71\/23 - 96\/1104. Let b(h) = -h. Let v be b(-3). Let s be ((-6)\/(-9))\/(4\/v). What is the second smallest value in -3, s, y?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(19))*-3 + 4 - (sqrt(2736)*2*-4)**2.\nAnswer: -175097 - 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in one quarter of a meter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 84464 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -921, -3326, -7225, -12618, -19505, -27886?\n\"Answer: -747*n**2 - 164*n - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = v - 1. Let h(s) = 3*s**2 - s + 5. Let i(f) = -13*f**2 + 4*f - 22. Let q(y) = 9*h(y) + 2*i(y). What is -d(w) - q(w)?\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -8*k**3*r**2*z - 154*k**3*r**2 - 4*k**3*r*z - 578*k**2*r**2 wrt z.\nAnswer: -8*k**3*r**2 - 4*k**3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 200543 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:23 AM and 3:04 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -163, -32, 435, 1406, 3049?\n\"Answer: 28*n**3 - 65*n - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -26 + 53\/2. Let w(n) = -2*n - 31. Let o(f) = f - 21. Let g be o(8). Let p be w(g). Which is the biggest value?  (a) -2\/3  (b) d  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (44 + -39)\/((-25)\/(-260))*1?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -43*k + 23*k - 6 - 3 + 19*k. Let a be y(-7). Let o be ((6 - 5)*a)\/(2*4). What is the nearest to o in 1, 0.1, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3619712 millennia in months?\nAnswer: 4343.6544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) be the second derivative of d**6\/360 - 3*d**3 - 22*d. Let h(r) be the second derivative of t(r). Let o(j) = 4*j. Give o(h(l)).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/8, -2, -0.3, -1\/9 in ascending order.\nAnswer: -2, -0.3, -1\/9, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hjj when three letters picked without replacement from {l: 7, j: 4, h: 8, a: 1}.\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1023, -77, 6 in descending order.\nAnswer: 6, -77, -1023","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -617 + 627. Let c be -4*((-135)\/6)\/1. Calculate the highest common factor of t and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*t + 4*t - t)*(-5*t + 3*t - 4*t + t + 3 - 3 + (0 + 0 + 2)*(2*t - t + t) + 5*t + 11*t - 4*t) as x*t + h*t**2 + q and give h.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 176332 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Are -1303650 and -1303636 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 113 - -2*(20\/8 - 3). Let p be 3*-1 + g\/(-16). Let r be (-9)\/15 + (-46)\/p. Solve -r*y = n - 18, -5 = -2*n - 1 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -71*g - 455*g - 87464 = 982*g for g.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 0 + 3)*(0*n - 2*n + n**4 + 3*n + 3*n**2).\nAnswer: 6*n**4 + 18*n**2 + 6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, 0, -2, 3 in increasing order.\nAnswer: -8, -2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2\/6 - 249\/(-9). Suppose 31 = 4*b + 15. Differentiate -t + b*x**4 + 146*x**2 - 146*x**2 wrt x.\nAnswer: 16*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.01307555 rounded to five dps?\nAnswer: -0.01308","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1 + 7)\/(3\/(-6) + 0). Is ((-262)\/6 - 2\/3)*p a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (15*(1 + 0))\/((-7 - 16)\/23)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zjjzjjjjjjjj. Give prob of picking 1 j and 2 z.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**(2\/13)\/l**(3\/11)*(l**4)**(-8\/3) assuming l is positive.\nAnswer: l**(-4627\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -100.39 - -105.39. Which is the nearest to 2?  (a) 0.5  (b) f  (c) 274\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 7, u: 6}. Give prob of sequence bu.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 1, -1\/4, -0.2, -0.07?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -77.9?  (a) 4  (b) -0.3  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4\/5 - (4 - (-97)\/(-35)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.009354 rounded to 4 dps?\nAnswer: 0.0094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2.1 + -0.1. Let x = k - -2.276. Let t = x + 0.008. Round t to 2 decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*a**2*m - 92*a**2*p - 2*a*m*p + 2469*a*m with respect to p.\nAnswer: -92*a**2 - 2*a*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -10*i + 149. Determine u(9).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -215 = 9*z + 226. Let i = 50 + 3. Let l = i + z. Solve 0 = -g - l for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-1)\/2)\/(9\/(-216)). Let x(h) = -n*h - 16*h + 22*h + 5. List the prime factors of x(-4).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -61 + 45. Let a(l) = -17*l**3 + 2*l**2 - 1. Let c be a(1). Let o = m - c. What is o rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -128 - -181. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.1384 - 0.0384. Do -0.5 and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*i - 2*i - 4*i)*(208*i + 1 - 103*i - 109*i).\nAnswer: 4*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -159728 = -65*z - 17378. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3694069567 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/3?  (a) -0.2  (b) -3\/2  (c) -1  (d) -1\/38\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4 + 4 + 3*i + (4 - 2 - 1)*(-3*i + i + 0*i))*(-3*i**2 - i**2 + 5*i**2)*(3 + 3 - 7) in the form f*i + b*i**2 + n + t*i**3 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 divided by 1021685.\nAnswer: 3\/1021685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.8 + 2.4. Let d = 1.1 - i. Let y = -515\/7 + 73. What is the second biggest value in d, y, 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = p - 9. Let t(u) = 1 + 3 - u + 0 + 1. Suppose -16*g + 21 = -11*g + 2*h, -20 = -2*g + 5*h. Give g*t(d) + 3*n(d).\nAnswer: -2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = x - 1. Let h = -8 + 13. Let f(v) = -3*v + 2. Let y(d) = h*f(d) + 10*t(d). Let a(g) = g. What is a(y(l))?\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 58 divide 13224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -1 - 1\/((-4)\/16). Let c(a) = 10*a - 15*a + l - 4. Give c(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 165 minutes before 2:52 PM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 7029, 21589, 43687, 73323, 110497?\n\"Answer: 3769*b**2 + 3253*b + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 20*x - 1322. Calculate the remainder when 415 is divided by j(69).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(171)*1 + -2 + sqrt(133)\/((sqrt(378)\/sqrt(6))\/sqrt(9)))**2.\nAnswer: -16*sqrt(19) + 308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-9 + 9 - 3*u**3)*(-8360*u + 8360*u + 820*u**2) + (3*u + u**2 - 3*u)*(u**3 - 4*u**3 + u**3) - 2*u**5 + u**5 + 0*u**5.\nAnswer: -2463*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j - 46 = 4*b - 157, -2*j - 51 = 5*b. Let l(t) = -16*t - 364. Calculate l(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 26*x**2 - 45*x + 46. What is y(1)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*p - 2 + 2)*(2 + 0 + 1) + (-3*p + p + 3*p)*(2 + 1 - 5).\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0012116889 rounded to 7 dps?\nAnswer: 0.0012117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 2, b: 3}. Give prob of picking 2 b.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 85 divide 621605?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -97174*f**3*w**3 + 617*f**3*w**2 + f**2*w**2 wrt w?\nAnswer: -583044*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 4 and 944.995?\nAnswer: 940.995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -75 - (2 + (7 - (-7 + 16)) + -10) - -1?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 10 = 6. Solve -u*j = -12*j + 20 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1331577060 to the nearest integer?\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (435\/3480*12\/3)\/(6\/((-240)\/148))\nAnswer: -5\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4751?\nAnswer: 4751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:24 AM and 8:37 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) be the first derivative of -v**2\/2 - 12*v - 35409. Let n be 0\/(0 + (-4)\/2). What is a(n)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 69915902?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Let z(u) be the second derivative of -19*u + 0*u**5 - 9\/2*u**3 + 1\/14*u**7 + 0 - 23\/30*u**6 + 0*u**2 + 0*u**4. Find the second derivative of z(c) wrt c.\nAnswer: 60*c**3 - 276*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n + 1695 = -777. Suppose -233 = -p - d + 397, -p - 5*d = -n. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = i**2 + 12*i + 10. Let f be y(-11). Let h(l) = -l**3 + 19*l**2 + 12. Let u be h(19). Suppose -u*v + 5*v = -9*v. Put v, -4, f, -2 in decreasing order.\nAnswer: v, f, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -4668, -13366, -22066, -30768, -39472, -48178, -56886?\n\"Answer: -p**2 - 8695*p + 4028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 142088258*c**2 - 162261696*c wrt c?\nAnswer: 284176516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 143\/1008 and 47\/34056?\nAnswer: 476784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 22 - 7. Suppose 5*n - 211 - 19 = 0. What is the remainder when n is divided by ((-72)\/b)\/3*-10?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 4*-1 - (-29 - 143\/13). Suppose 10*a - 449 = 191. What is the highest common factor of a and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -5*l + 101. Give x(21).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 9*q + 69. Let j(m) = -4*m - 30. Let p(c) = -6*d(c) - 14*j(c). Calculate p(7).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3887141 - 7774284 + j**3 - 9*j**3 + 3887143.\nAnswer: -8*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 times 142115?\nAnswer: -14211.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:28 AM and 2:40 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1660*h = -66719 + 226079 for h.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -6 in -0.1, -2, -0.2, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in one sixteenth of a hour?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -31245324 (base 6) in base 12?\nAnswer: -379844","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = g**3 + 3*g**2 - 11*g - 21. Give a(-5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 453 minutes after 3:41 PM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -6, -0.406, -1, 1\/313, 0.4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -2*d. Let n(k) = -5 + 5 + 1 + k. Let r(f) = 5*f + 6. Suppose -28 = 4*l + 2*a, -2*l - 2*a = -4*l - 8. Let m(i) = l*n(i) + r(i). What is c(m(x))?\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5671*n + 33437*n + 209*n + 2743*n + 106462*n)*(-2*n**4 + 3 - 3).\nAnswer: -297044*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) be the third derivative of -421*m**5\/30 + 322*m**3\/3 - m**2 + 333*m. What is the first derivative of o(s) wrt s?\nAnswer: -1684*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = c + 3. Suppose 2*r - 12 = -3*x - 2*r, -3*x + 3 = r. Let t be u(x). Suppose 0 = -t*l + 7*l - 148. What are the prime factors of l?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -15*m**2 + 7*m + 17. Let p(w) = 7*w**2 - 4*w - 8. Let s(o) = -6*d(o) - 13*p(o). Let u be s(10). Suppose 2*y = -u*y + 8. Solve -y*c + 20 = 2*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 24 - 176*o + 31*o - 13. Let k be m(-15). Is 4 + (k\/4)\/(4\/8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(6\/11))**(-33)*(x*x*x**(-2\/19))**(-25) assuming x is positive.\nAnswer: x**(-1242\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*c**4 - 4*c**4 + 0*c**4 + (-4*c**3 + 0*c**3 + c + 0*c**3)*(7 - 7 - 3*c + (56 - 56 + 49*c)*(-3 + 6 - 1)).\nAnswer: -381*c**4 + 95*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -10560 + 10576. Solve -3*v + 1 = -h, 5*h - b = 4*v + 8*h for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 7, u: 7}. What is prob of sequence ppup?\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 4433442224 (base 5) to base 9\nAnswer: 20170802","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 7980 + -4823. Is 12 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -18900000 rounded to the nearest 1000000?\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -101 + 210. Suppose a = 2*y - 41. Let x = y + -140. What is x rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 2*i - 4. Suppose -3*z - 3 = -15, z - 79 = 5*f. Let p be 3 + -2 + 7 + f\/3. Determine w(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 (base 6) in base 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -66*b**4 + 147 with respect to b.\nAnswer: -264*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = 57*j + 902. Determine q(-16).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4996*s + 12863*s + 4302*s + 81731*s + 59867*s + 16597*s)*(-1 + 1 - s**2).\nAnswer: -170364*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -5.3 - -0.3. Let o = 27\/200 - -6\/25. Let w = -1.7 + -1.3. What is the biggest value in w, o, r?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t - 3*v + 19 = 0, 4*t + v + 3 - 14 = 0. Which is the nearest to -4?  (a) 1  (b) t  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 621517, 621514, 621511, 621508, 621505?\n\"Answer: -3*m + 621520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -6559236*r**5 - 10136221*r?\nAnswer: -131184720*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -2*y**2. Let t(x) be the first derivative of 0*x + 2 + 3\/2*x**2. Give t(i(l)).\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 209307.\nAnswer: 3, 7, 9967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (486\/405)\/(2\/(-5)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -15*v - 22 - 29*v + 5*v - 14*v - 34 as b*v + g and give g.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 4*m + 173 = 4*k, 0 = -2*k - 8. Suppose 3*q = 8*q - 15, 0 = -2*i + q - 43. Let p = i + m. What are the prime factors of p?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = a + 2 + 7*a**2 + 10*a**2 - 16*a**2. Let u = 2 + -3. Calculate the lowest common multiple of z(u) and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((2 - 2 - a)*(-1 - 2*a + 1) - 3 + a**2 + 3 - 4*a - a**2 + 4*a)*(34*a**2 - 744 + 744) to the form f*a**4 + j + n*a**3 + z*a**2 + g*a and give f.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -v**3 - v**2 - v + 2. Let h(f) = -19*f**3 + 3*f**2 + 3*f - 1. Let i(n) = -a(n) - h(n). Let t(c) = 2*c - 25. Let x be t(12). Calculate i(x).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -2*k. Let c(x) = 7*x + 27. Calculate c(a) + 4*n(a).\nAnswer: -a + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -5  (b) -22  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -198.52 to zero dps.\nAnswer: -199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -124013*k**2*s**3 - 1194*k**2 + 22*s wrt s?\nAnswer: -744078*k**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -242*u**5 - 16987*u**2 + 16987*u**2 + (-6*u**2 - 3*u**2 + 4*u**2)*(-3*u**3 + 4*u**3 + u**3).\nAnswer: -252*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -95\/9524 and 51\/1419076.\nAnswer: 1419076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 102 minutes before 3:37 AM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1*(0 + -1)*-1. Let w(g) = g**3 - 4*g**2 + 5*g - 4. Let v be w(3). Let m = v + 1. Solve 0 = t + o + 1, 0 = t - 2*t - m*o + x for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -4 + 5 - d - 2*d**2 - 4. Let a be 3 - (9 - 2)\/1. Let r(y) = -3*y**2 - y - 4. Determine a*r(n) + 5*w(n).\nAnswer: 2*n**2 - n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -s**3 - 5*s**2 + s + 7. Let z be m(-5). Suppose 0 = 5*x - y - 782, 0*y - 4*y = -z*x + 302. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5494 a factor of 47946138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -25\/572 and -71\/813813.\nAnswer: 3255252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*o + 6*o + 6*o - 27428 - 57*o + 27428 + (1 + 1 - 1)*(0 + 0 - o) in the form j*o + f and give j.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3731 - 5871. Suppose 4*f - 3*l - 5 = 0, 3*f + 3*l = 7*l - 5. What is the units digit of (n\/(-8))\/f - 1\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 104280 divided by -34760?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 51986484 a multiple of 426?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -3 - -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-9 + -4 - 5) + (91 - 14) + -6.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = i - 1. Let p(u) = 6*u - 1. Let q(f) = 2*g(f) - p(f). Suppose 4 = -4*m + 2*m + w, -1 = -3*m - 2*w. What are the prime factors of q(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 245.35 to the nearest 10.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 + 0 = -j. Suppose -j = -2*q - p + 3*p, -q + 8 = -3*p. Suppose k - 4*k + 3 = 0. Solve y - k = -q for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2160\/45 + 7*1. Suppose -40*v - 315 = -u*v. What is the lowest common multiple of v and 70?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4 + 2 + sqrt(153) + 3*sqrt(153)*-2)*4*-5)**2.\nAnswer: -72000*sqrt(17) + 1544400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) be the third derivative of x**7\/672 + x**6\/480 - x**5\/240 + x**3\/3 + 3*x**2. Let q(v) be the first derivative of g(v). Solve q(b) = 0.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d + 1 + 3 = 0. Suppose t = -4*t - 200. What is the tens digit of t\/2*(-2)\/d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -484, -952, -1418, -1882?\nAnswer: -2344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 7*b*c*t**2*x - 2*b*c*t*x + 2*b*t**2*x - b*t*x + 16*b*t + 2894*c*t**2*x**2 + 4*c*x**2 - 59*t*x**2 wrt t?\nAnswer: 14*b*c*x + 4*b*x + 5788*c*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0  (b) -0.1  (c) 3\/5  (d) 1  (e) -1.36  (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -o**4 - 5*o**3 - 13*o**2 - 12663 wrt o.\nAnswer: -4*o**3 - 15*o**2 - 26*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 874416.2l?\nAnswer: 874416200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.089 * -0.4.\nAnswer: 0.0356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -m**3 + 3*m**2 - 2*m + 7. Let x(y) = -6*y**3 + 15*y**2 - 11*y + 36. Let s(p) = -11*j(p) + 2*x(p). List the prime factors of s(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 37 - -5 - (-111 + 55 + 26)?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 74682978 to the nearest integer?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3257.246 - -3260. Let h = 0.246 + v. What is the third smallest value in -3\/2, h, 0, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2782369.\nAnswer: 821, 3389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) be the third derivative of -a**5\/60 - 7*a**2. Let w(u) = 0. What is u?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 111961.49181 and 3794.\nAnswer: 115755.49181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -219952256 + 314514256. What is l rounded to the nearest 1000000?\nAnswer: 95000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n**5\/3 - 4412*n**4\/3 + 2442020*n**3\/3 - 3234000*n**2 + 799326*n + 4848804 = 0. Calculate n.\nAnswer: -1, 2, 3, 1101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(88)\/(sqrt(72)*2).\nAnswer: sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 3, -0.1, 11\/10, -4\/19, 1\/7?\nAnswer: 11\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nmhmmmmmmmzmhmnm. What is prob of picking 2 h and 2 n?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1192461, -2384921, -3577381, -4769841, -5962301?\nAnswer: -7154761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) 7  (b) 15  (c) 247\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/37, 186, 0.8, 0.2, -4\/3, -5 in descending order.\nAnswer: 186, 0.8, 0.2, -2\/37, -4\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4066 is divided by 202.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) be the first derivative of 70*n**3\/3 - 3*n**2 + 11*n - 15. Suppose 0 = 7*q - 19 - 16. Is o(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4929 and 318?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-32)\/15 - (0 - 2). Let i(m) = -3*m - 10. Let w be i(-3). Which is smaller: q or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36*d = -104 - 125 - 23. Calculate the least common multiple of d and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 16 + -11. Let r be (1 - s) + 20 + -11. What is the third derivative of 3*t**5 - 3 - 4*t**5 + 3 + r*t**2 wrt t?\nAnswer: -60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 326694 divided by 163347.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) be the second derivative of -3*y**8\/28 - 2*y**4\/3 - 2*y. Find the third derivative of p(h) wrt h.\nAnswer: -720*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3196802 - -3196653.0059. Let t = 317 - 168. Let d = y + t. Round d to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-one quarters of a millimeter in micrometers?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -9 - 2\/(18\/(-117)). Let b = -119 + 115. Put w, b, 48 in ascending order.\nAnswer: b, w, 48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) be the third derivative of q**6\/120 - q**5\/5 + q**4\/8 - 3*q**3 - 5*q**2. Calculate the lowest common multiple of o(12) and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 80 = 2*q - 36. Let d = -30 + q. 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 y = 130.7 + -138. Let s = y + 4.3. Let x = -109\/120 + 8\/15. Which is bigger: s or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = 5*z. Let y(v) be the first derivative of 35*v**4\/12 + 107*v - 196. Let n(g) be the first derivative of y(g). Calculate x(n(j)).\nAnswer: 175*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 39 - 28. What is the remainder when 17 is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3668657721?\nAnswer: 3, 53, 23073319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 47*b - 75 = 32*b. Suppose 589 = 2*j + b*w + 202, 5 = 5*w. Does 27 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 292 minutes after 6:02 PM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -198508111*g**4 - g**3 - 6700983*g**2 + 7?\nAnswer: -4764194664*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 6, w: 4}. Give prob of picking 1 o and 2 w.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 1499, 18 in increasing order.\nAnswer: -2, 18, 1499","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = x**2 + 10*x + 30. Suppose -3*g = 4 - 19. What is the lowest common multiple of w(-5) and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 8, 3\/7, -1\/9, 4?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3\/31)\/((-23)\/(322\/105))?\nAnswer: -2\/155","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7446200 is divided by 5086.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**1)**(-1\/18)\/(c**(-1\/3)*c**(3\/7)\/c)*((c*c**(-4))\/(c\/(c*c\/(c\/c**(-1\/2)))))**20 assuming c is positive.\nAnswer: c**(-8713\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -34024 + -66304?\nAnswer: -133331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -278, -1881, -6148, -14411, -28002, -48253, -76496, -114063?\nAnswer: -162286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(7\/2)*q)**(1\/54) assuming q is positive.\nAnswer: q**(1\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 313 minutes after 9:10 PM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (4\/(-12))\/((-3)\/39) - 5. Suppose 2*i - 3*j + 2 = 0, -5*j = i - 7*j. Let p = 12.7 - 13. Which is the closest to o?  (a) i  (b) p  (c) -4\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 59 and 531.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a**4\/4 + 17*a**3\/4 + 53*a**2\/4 + 7*a\/4 - 39\/2 = 0. What is a?\nAnswer: -13, -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -2*i**2 + 2*i - 2. Let h(z) = -z**2 - 2*z. Let r = -119 - -118. Let g(j) = r*h(j) + t(j). What is g(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -35114 or -1299249\/37?\nAnswer: -1299249\/37","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Express 3*n**2 + 12*n - 221944344*n**3 + 221944287*n**3 + 16*n as a*n**3 + i*n + x*n**2 + r and give i.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 6, g: 4}. Give prob of picking 2 g and 2 b.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -30 - -36. Solve 5*v + k = -4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {b: 2, m: 2, w: 4}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 84\/(-10) - (-6)\/(-10). Is (5034\/z)\/(10\/(-6) - -1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - 2673 = -723. Is r a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000012551 to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -368924395.859000109 + 368924222.859. Let m = w - -173. What is m rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -207 take away 4134?\nAnswer: -4341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence meek when four letters picked without replacement from ieekkkmseiee.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = d**2 + 2*d - 2. Let p be r(-3). Let y be p - ((-27)\/6 - (-4)\/8). Solve y*f + 0*f = 25 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -52, -118, -186, -256, -328, -402, -478?\n\"Answer: -y**2 - 63*y + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -47 = 3*o + o - 3*t, -5*o + 2*t - 50 = 0. Let i = o - -13. Solve -8 = 4*y, -1 - 9 = 5*g + i*y for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hih when three letters picked without replacement from hhhhii?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-78243)\/11855 - (-203)\/30. Find q, given that v*q**2 + 4\/3*q + 2\/3 - 1\/6*q**5 - 7\/6*q**3 - 5\/6*q**4 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - 3) + -7 + (-26 - (1 - (0 - 2))).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -122357, -246916, -371475, -496034, -620593?\n\"Answer: -124559*l + 2202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 129230 to the nearest one thousand.\nAnswer: 129000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4297 = -375*f - 204*f - 11*f + 4553 for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 101289 + 64*y - 23*y**3 - 9*y**2 - 101313 - 5*y**2. Let l(m) = m**2 - m - 3*m**3 + 2*m**3 - 2*m**2. Let k(s) = -4*l(s) - v(s). Factor k(b).\nAnswer: 3*(b + 2)*(3*b - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is 583 minutes before 4:34 PM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 7*h - 10. Solve 2*i + 2 + h = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q = 5*s - 27, 4*s - 3*s + 4*q - 9 = 0. Suppose -5 = 7*d - s. Suppose 22*b - 19*b - 147 = d. Is 5 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) be the third derivative of t**4\/6 + 35*t**3\/6 + 19*t**2. Let i be j(0). Suppose -l - i = -6*l. List the prime factors of l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1383 - l**3 + 1383.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 60 + -60. Solve 15 = -l*p + 5*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) be the first derivative of w**4\/4 + 10*w**3\/3 - w**2\/2 - 9*w - 1. Let a be v(-10). Is ((-158)\/(-8))\/(a\/4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 178, 709, 1590, 2821, 4402, 6333, 8614?\nAnswer: 11245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f - 10 = -5*s, 5*s = -2*f + 2*s - 4. Suppose 0 = -3*a + 5*h + 24, -5*a + h + 0*h + 18 = 0. Let g(x) = -4*x - a + 2*x - 2*x + x**2. Give g(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/17, 1\/6, 0, -6578 in ascending order.\nAnswer: -6578, -1\/17, 0, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -42*(-44)\/330*4\/16?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -19*s. Let p(a) be the first derivative of -11*a**3\/3 - 299. What is w(p(q))?\nAnswer: 209*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 641 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2 + 2200320?\nAnswer: 2200322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-1)\/(-4) + (-5)\/4. Let z be ((-1)\/4)\/(1\/(-4)). Let b be (-1)\/z*(-3 + -2). What is the second smallest value in c, b, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor q**3\/10 + 3*q**2 + 129*q\/10 + 10.\nAnswer: (q + 1)*(q + 4)*(q + 25)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = 3*k - 2*y + 5*y, 0 = 8*y + 24. Suppose 3*i - 4 = 5. Solve -i*o + k*o = 6 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 9 - -19. Is 19 a factor of 2148\/q + (-8)\/(-28)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -v**3 - v**2 + 3. Let s be z(0). Suppose x + s*x + 2*d - 14 = 0, 4*d - 16 = 4*x. Let k(n) = 51*n. Is k(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -4*i - 14. Let r = 1 + -4. Let q(u) = -3 + 2*u + 0*u - 3*u. Let s be (-3)\/2 - 8\/(48\/(-93)). Calculate r*a(b) + s*q(b).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 11685\/4 - 2953. Let h = 32 + m. What is the second smallest value in 3, h, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - y - 94 = -34, -2*y - 100 = -5*j. Solve 6*w - w + j = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2011*l + 1138*l - 24085 = 2198*l + 6625 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -5\/99 or -0.018?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 7\/294285 or 0?\nAnswer: 7\/294285","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -24 + 27. Is (i + -6 - 9\/(-4))*-2164 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 1 + 2)*(-46 - 2*q**3 + 2*q**2 - 47 + q**4 + 126).\nAnswer: 3*q**4 - 6*q**3 + 6*q**2 + 99","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -16 - 12373?\nAnswer: -12411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h = 7*h - 36. What is the first derivative of -5 + 10*i + 5*i - h*i + 0*i wrt i?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-17\/3)*r)**(-25)*r*r**(-13\/5)*r**25 assuming r is positive.\nAnswer: r**(2101\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 1\/10, 2, 6?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 80\/(-15)*9\/(-12). Calculate the highest common divisor of 14 and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 429, 395, 359, 321?\n\"Answer: -f**2 - 31*f + 461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) be the third derivative of -7*o**4\/12 + 11*o**3\/3 + 18*o**2. Let m be g(-11). What is the common denominator of -107\/54 and (3*(-8)\/m)\/(1\/(-32))?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -36*i + 128. Calculate h(7).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -y**3 + 4*y**2 - 418*y - 6409. Determine b(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put -903, 2, 2197 in ascending order.\nAnswer: -903, 2, 2197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (1122\/(-357))\/(1\/(-6846))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 18948979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1063*v = -1098*v - 420 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 19084726 by 8.\nAnswer: 9542363\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -9*y**2 + 82*y + 2. Let h be o(9). Suppose 3*s = -2*u + h, -3*u + 4*u - 4 = -s. Solve 0 = -3*f + 8*f + s*d + 10, 0 = -4*d for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -2*x**2 - 3*x + 11. Let r be g(-5). Let p = 24 + r. Does 20 divide -4 + 3 + (p - -59)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -5*h**2 - 878*h - 23032. Give g(-32).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 46.6 times -1\nAnswer: -46.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor -f**4\/7 - 34*f**3\/7 - 373*f**2\/7 - 204*f - 252.\nAnswer: -(f + 3)**2*(f + 14)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*s - 2*s - s)*(-s - s + s) + 0*s - 2*s**2 + 0*s + 1 - 14*s**2 + 4*s + 6*s**2 + 7*s**2.\nAnswer: -2*s**2 + 4*s + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express (h - 2*h**3 + 2*h**3 + 3*h**3)*(-31 - 85 - 97) as r + a*h**3 + o*h + d*h**2 and give o.\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 + 6 + -6 + 1 - -9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 8*k**3 - 2*k + 1. Let a be v(1). Suppose -g + 761 = 2*o - a*o, -3*o - 2259 = -3*g. List the prime factors of g.\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/49 in -9, 227, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-8)\/(p**(2\/17)\/p))**(23\/3) assuming p is positive.\nAnswer: p**(-2783\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -28 + 46. Let c be (-63)\/(-12) + 1\/(-4). Solve 2*m + 4 = 0, c*g - g - 5*m = s for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 - (21 - 0)) + (4171 - 4162)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 times 192.25?\nAnswer: -76.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -1 + (0 - -1)\/(-1). Let z(g) = -3*g. Let a be z(h). Let p be -3 + 6 + -3 + a. Solve 0 = l - 3*l + p for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 17, -142, 2, -7, -3.\nAnswer: -142, -7, -3, 2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*i + 3*i = 602000. What is i rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 187 and 38964.\nAnswer: 428604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -3, 1672.\nAnswer: -3, 3, 1672","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = s**2 + 13*s + 39. Let w be a(-9). Suppose -3*u + 87 = w*j, 2*u + 96 = 4*j + u. Is 25 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 26*o**3 + o**2 - o - 4. List the prime factors of s(2).\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) be the second derivative of -y + 2\/3*y**4 - 5\/2*y**2 - 1\/20*y**5 + 137 + 1\/6*y**3. What is d(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -a**3 - 5*a**2 - 2*a - 6. Suppose 4*l + 5 = 3*l. Let x be g(l). Suppose 5*n = -5*r + 105, -x*n + r = 4*r - 85. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -75, -92, -147, -264, -467, -780, -1227?\n\"Answer: -4*q**3 + 5*q**2 - 4*q - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2382299823?\nAnswer: 3, 794099941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -30\/1111 and 119\/2424.\nAnswer: 26664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -17 + 26. Suppose 30 = 3*h - w. Let d(x) = -x**3 + 12*x**2 + 15*x - 14. List the prime factors of d(h).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.1 - 0.1. Let u = -1067 + 1067. What is the nearest to u in z, -0.3, -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 156 a factor of 26203632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38*q - 248 = 34*q. Let l = q - 55. Let p(g) = g**2 - 5*g - 22. What is p(l)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3 and 2001?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 636372203*s + 1935455 wrt s.\nAnswer: 636372203","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -41*t + 25593 + 26432 = -7179. What is the remainder when t is divided by 80?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*h**4\/5 - 12*h**3 + 4992*h**2\/5 = 0.\nAnswer: -52, 0, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -12 - 102122210112?\nAnswer: -102122210201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 758316609 to the power of 1\/2, to the nearest integer?\nAnswer: 27538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 18*u - 294 = 0. Suppose 0 = 5*s - 4*i - 40, -2*i - u = -s - 7. Solve -5*o - 11 = s for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**7*p*p**(1\/8)*p)**(3\/19) assuming p is positive.\nAnswer: p**(219\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4 (base 7) to base 11.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-30)\/(-16)*8)\/(-35*(-34)\/8330)?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 4619776371?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 69297 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-456)\/(-28) + (-2)\/7. What is the units digit of (k\/(-20))\/((-6)\/15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.4*76.5.\nAnswer: -30.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express 19*p + 25*p - 41*p - 5*p**2 as i*p**2 + c + j*p and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 65746?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -19, -26, -21, -4, 25?\n\"Answer: 6*u**2 - 25*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 8119 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3730 - -4905. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -8.5 - -9. Let d = -34\/3 + 11. Let b = 7 - 5. What is the biggest value in b, f, d?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 172911508?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -192638 + -3\nAnswer: -192641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2204509?\nAnswer: 17, 103, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**2*a*(a*a*a\/(a*a**(-3)))\/a*a*a)\/((a*a**(1\/6))\/(a\/(a*a**1))))\/((a**7*a\/(a**(-6)\/a)*a)\/((a**(-2\/9)\/a)\/((a\/a**3)\/a))) assuming a is positive.\nAnswer: a**(-133\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -132 + 213?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -13*c. Let k be a(-2). Suppose -4*h - n + 20 = -32, 0 = -2*h - n + k. Suppose -26*t - 234 = -32*t. What is the greatest common divisor of t and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = 2*o**3 - 2*o**2 + 2*o + 11. Let s(h) = 12*h**3 - 13*h**2 + 13*h + 67. Give 39*d(x) - 6*s(x).\nAnswer: 6*x**3 + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*l**2 - 13328448*l - 22205940761088.\nAnswer: -2*(l + 3332112)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) -637  (b) -4  (c) -0.4  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -4  (b) -0.11  (c) 2\/5  (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = p**2 - 151967*p - 1519764. What is w(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 280136 divided by 38\nAnswer: 7372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -1022 (base 5) in base 9?\nAnswer: -162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2.5 - 3. Let c = 24544049\/1141 - 21511. Let x = 4582\/10269 + c. What is the biggest value in x, f, -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 11392381 to the nearest integer?\nAnswer: 3375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r*(r\/(r\/((r*r**(-11))\/r)))\/r)\/(r\/((r\/r**14)\/r)))**43\/((r**(-1\/4)*r**(3\/2))\/(r*r**(1\/9)*r*r**(-2\/19))) assuming r is positive.\nAnswer: r**(-764195\/684)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 93 - 2*b**3 - 219 - 95.\nAnswer: -2*b**3 - 221","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-18)\/(-560)*(12 + 352\/(-33)). Let w(z) be the second derivative of 0*z**2 + 1\/28*z**4 - z + 0*z**3 - l*z**5 + 1\/70*z**6 + 0. Factor w(o).\nAnswer: 3*o**2*(o - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 4*z + 7. Let n(c) = 3*c + 6. Let w(k) = 6*n(k) - 5*t(k). Let p(m) be the third derivative of 5*m**4\/24 - m**3\/3 - m**2. Calculate -6*p(l) - 14*w(l).\nAnswer: -2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15*b - 12*b**3 + 13*b**3 + 20*b - 5*b.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -3, -5, -32, 5.\nAnswer: -32, -5, -3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-6)\/(-15))\/(1\/5). Suppose -4*x + 2*b = -52, -f*b = 6*x - 4*x - 14. What is the remainder when 41 is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bb when two letters picked without replacement from oyubbbftfobttbb?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 212 and 128?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*r + 32 = 17 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 601077?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -92, 460, 1676, 3556, 6100, 9308?\nAnswer: 13180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:03 AM and 7:19 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*r + 1 + 4 = 5*j, -200703*r = -200707*r + 4*j - 20 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y - 431 - 179 = 5*h, -2*h - 4 = 0. Let x = y + 160. Solve 6*o - 3*p = 2*o - 20, p = 3*o + x for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = m - 1696 + 300. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2441?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 35178832 - 69853832. What is y rounded to the nearest one hundred thousand?\nAnswer: -34700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -3698.532 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((-2*v + 0*v + 3*v)*(4 - 5 + 2) + (-3*v - v + 5*v)*(0 + 3 - 5))*(-64*v + 247*v - 98*v) - 13 + 13 + 2*v**2 to the form r*v + w + f*v**2 and give f.\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-403)\/(-78) - (-2)\/(-12). Solve -4*o = -3*f + 3, 5*o - m = -5*f + 2*o for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 773303 (base 8) in base 11?\nAnswer: 1681a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 1, d: 2, g: 4, z: 2, c: 1}. Give prob of sequence do.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.17329 - -0.08329. Let l = 4 + -3. What is the closest to 0 in l, v, 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q - q + 10 = -2*t, 0 = -4*q + 8. Let m(z) = -z**2 - 8*z + 7. Let j be m(t). Suppose -j + 3 = -g. Solve -1 - g = d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 505137678 divided by -168379226\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 514467.0249 rounded to the nearest one thousand?\nAnswer: 514000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1114.\nAnswer: 2, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rrrlrrlrrllrrrlr. Give prob of sequence llr.\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-70)\/(-6) + (-27)\/5265*-65?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 22312 and 13336.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 9540307 and 2779?\nAnswer: 2779","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*d + 2*v = 13, v = -35*d + 36*d - 1 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express (5*z - 2*z - 5*z)*(-z**2 - z**2 + 6*z**2) + 16*z**3 + 64*z**3 + 45*z**3 in the form y*z**2 + i + d*z**3 + o*z and give d.\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from ggggzggggzgzgggzgzgg.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express -q**2 - 3 + q**2 - 2*q**3 + 2 in the form a + l*q**2 + p*q + v*q**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 1371000, 5483981, 12338948, 21935901?\n\"Answer: 1370993*j**2 + 2*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y = -45 - 131. Let k = y - -129. List the prime factors of k.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 0 + 1 + -5 + -12 + 20. Which is the second smallest value?  (a) -0.1  (b) -45  (c) 0.5  (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 51 (base 7) to base 16.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1.5 + -1. Suppose -6 = -2*x + 2*t, 2 + 3 = 4*x + 3*t. Suppose -3 = n - x. What is the nearest to n in -0.2, 3, b?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = l**3 + 45*l**2 + 126*l + 10341. Calculate m(-47).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 292 is divided by 151.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3842*a + 23605 + 57077 for a.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4048664476.\nAnswer: 2, 19, 67, 795103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -159*p + 346. Let k be x(10). Let h = 2078 + k. List the prime factors of h.\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 595 minutes after 4:18 AM?\nAnswer: 2:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put together 2053825 and 94139.8.\nAnswer: 2147964.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 96 and 11616.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = u**3 - 4*u**2 + 5*u + 2. Let s(h) = -h**3 + 5*h**2 - 4*h - 3. Let w(j) = -5*s(j) - 4*t(j). Determine w(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*-4*(sqrt(11) + 3*sqrt(11)*6) + (1*(sqrt(11)*-2)**2 - (sqrt(11) + 3*sqrt(11))**2*-1).\nAnswer: -456*sqrt(11) + 220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -7 by -195.\nAnswer: 7\/195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -79*c**5 - 1042*c - 24*c**4 - 151*c - 350*c**5 + 23*c**4 + 3*c**4 wrt c.\nAnswer: -8580*c**3 + 24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3.4?  (a) -1\/4  (b) -5  (c) -0.4  (d) -0.0052\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 19 - -37. Let m = y - 17. Suppose 3*n + 0*n = m. What is the greatest common divisor of 39 and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -61 + 143. Suppose 0 = -2*l - 0*l + h. What is l rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -a + -25?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 2670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 7}. What is prob of picking 3 w?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 1 e when two letters picked without replacement from {i: 2, o: 5, x: 3, w: 3, e: 1, n: 1}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w + 4 = w + 5*o, -7 = -w - 2*o. Sort 4, -5, w in decreasing order.\nAnswer: 4, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000936733 to four dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 4, v: 6, d: 7}. Give prob of picking 3 v.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = v**3 + 12*v**2 + 28*v - 17. Let j be x(-4). Is j bigger than 2\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 - (3 + (-8 - -9) - (-6 - -5))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 58.3 - -654.7. Let t = v + -712. Which is the closest to 3?  (a) -4  (b) -11  (c) 0.3  (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -7564 - -7671. What is the remainder when 257 is divided by v?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(15)\/sqrt(3)*-3 - sqrt(1500)\/sqrt(12)) + sqrt(5) + sqrt(20)\/sqrt(64) + (sqrt(5) + 0)*-3.\nAnswer: -39*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 3*h = -58, -k + 5*h = 2*k - 86. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1.2 - -2.2. Which is the closest to -1?  (a) u  (b) -0.6  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 27 - 20. Suppose f = w + 4*p, -p = 4*w - w + 1. Let x(b) = -b**3 + 0*b**3 + b**2 - 4*b**3 + b. Give x(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 33763 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 4 + (-3 - -2) + 2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = b**2 - 9*b + 18. Let m be r(6). Suppose 4*w - 5*w + 51 = m. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (12\/(-5))\/((885\/351050)\/((12\/(-14))\/(-6)))?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 greater than or equal to 18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 6*c**2 + 9*c - 13. Let z(j) = -3*j**2 - 4*j + 6. What is -4*f(u) - 9*z(u)?\nAnswer: 3*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -13810.55 times -165\nAnswer: 2278740.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-6 + 0)*387\/(-18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -55, -72, -89, -106, -123, -140?\nAnswer: -157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 181539117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -28424.46*-12\nAnswer: 341093.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*y - 56*y - 944 for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 114 = 6*p + 5*o, -5*o + 0 + 30 = 0. Solve r - b = 12 - p, -r - 10 = 3*b for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -3*x + 2. Suppose -10 + 0 = -2*y. Solve -x*o - 24 = y*u, -3*u + 5*o = -2*u - 12 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/3?  (a) 1\/7  (b) -0.01  (c) -3  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) be the first derivative of 5*d**3\/3 - 2. Suppose -2*b + 8 + 0 = 0. Let g(t) = 3*t - 6*t + b*t. What is j(g(i))?\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = 4*q - 17. Suppose 2 = -6*r + q*r. Suppose 4*c = -i - 4518, -r*c = 2*i - 0*c + 9024. Round i to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(288)*1 + sqrt(288) + sqrt(288) - (-1 + sqrt(2)*2 - sqrt(2)).\nAnswer: 1 + 35*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = b + 1. Let q(z) = 2*z**2 + 3*z + 3. Suppose 3*d + 2*d = 15. Determine d*u(w) - q(w).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 80869*z**2 - 40434*z**2 + 138*z - 40436*z**2. Let x(p) = p**2. Give x(r(n)).\nAnswer: n**4 - 276*n**3 + 19044*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 17 + (-9 - 6) + (0 - -4).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -9367.9 + 9368. Sort l, -0.03, -0.3 in ascending order.\nAnswer: -0.3, -0.03, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -102011 (base 3) to base 5\nAnswer: -2201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x*x*(x\/(x\/((x**(-2\/7)\/x)\/x))*x)\/x)\/x*x*x**(-23))\/(x\/(x\/(x*x**(-21))))**11)**(-27) assuming x is positive.\nAnswer: x**(-37179\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 5ca (base 13) to base 10\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 17807941 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13658808?\nAnswer: 2, 3, 569117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 1661.9145 months in years?\nAnswer: 138.492875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 101\/345890 and 121\/31752702.\nAnswer: 158763510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.002537 - 3.\nAnswer: -3.002537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*t**3 - 90*t**2 + 513*t - 420.\nAnswer: -3*(t - 4)*(t - 1)*(t + 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 62 a factor of 14012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 1, h: 4, q: 8}. What is prob of sequence hh?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -42807942.93 + -13205\nAnswer: -42821147.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -733 (base 9) in base 7?\nAnswer: -1512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 129430 is divided by 117.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0 + 2. Suppose -3*y - w = h + 4, 4*h + y - 31 = 0. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4826*f**3 - 16957*f**3 + 5489*f**3.\nAnswer: -16294*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 118 + 11*m - 118.\nAnswer: 11*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -97*s + 100*s - 5*f = 44, 0 = -5*s - 5*f + 20 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 34 - 11*h**2 + 22*h**2 + 8*h - 7*h**2 - 11*h**2 + 6*h**2. Calculate g(10).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3717 and 37044?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*c + 25*c = -4*y + 11, -4*c + 5*y - 13 = 0. Let 0 + 16\/7*x**2 + 6\/7*x**c - 6\/7*x = 0. Calculate x.\nAnswer: -3, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1649799 is divided by 113?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*r**3 - r**3 + 4*r**3)*(2 + 2 - 2) - 2 + 4*r**3 + 4 - 5*r**3 + 2*r**2.\nAnswer: r**3 + 2*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 1\/24 of a day?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 85810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -2.66 and 556.97?\nAnswer: 559.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 2 o when three letters picked without replacement from llrrrrroorlrrrrooll.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve m + 2*a = 8, 2284*a - 4577*a = 2*m - 2290*a - 15 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4 - 1 - 2)*(2 + 5 - 5)*(-l**2 + 0*l + 0*l) to c*l + g*l**2 + m and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in eighteen fifths of a micrometer?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.75 take away 251.3?\nAnswer: -250.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*z**2\/7 - 108*z\/7 - 208\/7.\nAnswer: -2*(z + 2)*(z + 52)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (4 - 16) + 8 + 0 + -3\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1435?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -512898 bigger than -512893?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -8.6 + 8. Let g = 8.49 - 8.19. Which is the smallest value?  (a) 1\/5  (b) g  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-12 - -7) + 7 + 0 - 9?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4 + 3 + 2)*(77*b**2 - 44*b**2 + 223*b**2) to r*b + f + s*b**2 and give s.\nAnswer: 256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.266 + 0.248?\nAnswer: -3.018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 66373 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 2, s: 11, h: 1, w: 1, a: 3}. Give prob of picking 1 a and 1 w.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 13 + -26. Let r(m) = -m - 10. Let d be r(v). Suppose -1319 = -d*y - 4*b, 2*y - 4*y = 5*b - 870. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine z so that -z**3\/6 - 13*z**2\/6 - 16*z\/3 - 10\/3 = 0.\nAnswer: -10, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 63 - 58. Suppose -8*y - 1532 = -6604. Let a = 6964\/11 - y. Put b, a, 1\/4 in decreasing order.\nAnswer: b, 1\/4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -53*z**2 + 103*z**2 - 53*z**2.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5973779 is divided by 2189.\nAnswer: 2187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 407920?\nAnswer: 2, 5, 5099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 61 divide 11206293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/5 in -0.4, -0.5, 37339616, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 12920 >= 12925?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 + -9 + 1 + 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 32 + -4 + (-33 - -13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 25 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) be the third derivative of j**6\/40 + 7*j**5\/20 + 15*j**4\/8 + 9*j**3\/2 + 87*j**2. Factor z(b).\nAnswer: 3*(b + 1)*(b + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2\/5, 0.14, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 162*g - 612 = 3438. Solve 0 = -11*n - 91 + g for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.7607168 years in millennia?\nAnswer: 0.0007607168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = b**3 + 12*b**2 - 11*b + 13. Let t be c(-13). Find the common denominator of -47\/27 and 39\/t*142\/(-18).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (2\/4)\/((-4)\/104). Let g = p - -28. Solve 5*w + 40 = -5*d - 0*d, -3*d = g for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 0*u**3 - 16016*u**2 + 16436*u**2 + 4728 + 4*u**3 - u**4 wrt u?\nAnswer: -4*u**3 + 12*u**2 + 840*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 13\/57 + 2\/19. Which is the nearest to r?  (a) -2\/7  (b) -0.04  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + 0*l = 3. Let z be (l - -631)\/(-4*(-1)\/40). What is z rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 1\/9415617?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 175, 179, 181, 181, 179?\nAnswer: 175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 26 + -36. Let d(o) = 3*o + 32. Let s be d(i). What is g in -1\/5*g**s + 2\/5 + 1\/5*g = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*g**3 + 20*g**2 + g + 0*g**4 - g**4 - 9 - 54*g**2 + 26*g**2 + 10*g**2 in the form t*g + y*g**3 + r*g**2 + b*g**4 + m and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p, 1 c, and 1 x when three letters picked without replacement from ydypcrpx?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.34?  (a) -14  (b) 0.4  (c) -0.1  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Total of 43.119 and -1.54.\nAnswer: 41.579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:56 AM and 2:41 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*g = 14*g - 24. Suppose -g*l + 124 - 115 = 0. Solve -3*p - t = l - 6, 2*p + 5*t - 2 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -808 - -1508. Suppose 3*u - 2*h - 304 = 126, -5*u - 5*h = -y. What are the prime factors of u?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 749 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 8383 + -8382.9990422. Round f to four decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 20819745*q**3*u**2*v - 52724462*q**3*u*v + q**3*v**3 + 2*q**3*v**2 + 2*q*u**2*v**3 wrt u.\nAnswer: 41639490*q**3*v + 4*q*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -5.7 * 243\nAnswer: -1385.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2245*l - 2310 = 2231*l. Calculate the highest common divisor of 1100 and l.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -100 + 100001111110000100?\nAnswer: 100001111110000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 85 is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 5584 or 5586?\nAnswer: 5584","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -28.6456 - 57?\nAnswer: -85.6456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/(-5) - -1) + 61\/(-15)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (7 + -4 - -5) + -2 + -3 + 17.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6 - 180\/(-28))\/(99\/(-30) + 3)?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**(-1))**(12\/19))**(-38)\/((u**1)**1\/(u**1)**(-37)) assuming u is positive.\nAnswer: u**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -194 divided by -97.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pppppppllp. What is prob of picking 1 l and 1 p?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = 50*f**3 - 3*f**2 + 3*f + 2. Let t be x(2). Let y = -396 + t. Put -3, 9, y, 1 in ascending order.\nAnswer: -3, y, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 7\/(-28) - (-145)\/4. What is the common denominator of i\/(-45) - (-254)\/40 and 2\/(-16)*1876\/21?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.085441 and -0.1.\nAnswer: -0.0085441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 20.93 - -0.07. Let h = u + -20.924. Let g = h - 0.0707. Round g to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p - n = -21, 4*p + 5*n - 9 = -0. Calculate the remainder when p\/(-4) - (-495)\/6 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j - 4*k + 57 = 53, 2*j - 5*k = -8. Put 7, j, 4 in decreasing order.\nAnswer: 7, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 257*j**2. Is b(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*(n\/(n\/(n\/(n*n*n*n*n\/(n*n*(n\/n**(-42))\/n*n*n))))*n)\/n*n*n\/(n*n*n*n\/n**(2\/25)*n)*n**(-5\/14)\/n*n*n**22*n)**(4\/3) assuming n is positive.\nAnswer: n**(43906\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.0552?  (a) 0.3  (b) 39  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 3861396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1901553 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (1830\/(-2562))\/((-10)\/4)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 2*s**2 - 9*s + 15. Let p be m(6). Let w(z) = 0*z - p + 32 + 87*z**2 - z. What is the units digit of w(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -975.09407 to the nearest ten.\nAnswer: -980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -55\/3 and -74\/171.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -9 + 7. Let d(m) = 4*m**2 - 2*m - 1. Is d(h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (1 + 3 + -29)*37\/(481\/184730). Round p to the nearest ten thousand.\nAnswer: -360000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.2  (b) 35\/27  (c) -0.3  (d) 5  (e) -0.782  (f) -2  (g) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -12*i**2 + 2*i + 8. Calculate p(-3).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 2*j - 200 = 108, -2*t + 5*j = 305. Suppose -i - 64 = -3*o - 0*o, 196 = -3*i + 5*o. Let l = i - t. Calculate the highest common factor of l and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 59, -63, -4\/9, -17120?\nAnswer: -17120","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*n = l - 16, 3*n + 10 + 2 = -l for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 61*f + 32*f + 121 + 65 = 0. Let v(n) = -n**2 + 5*n + 10. What is v(f)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 213307 to the power of 1\/2, to the nearest integer?\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -19*g**3*i**3 - 2*g**3 + 72367*g**2*i**3 - 3*g*i**3 - 3358*g*i**2 + 51*i**2 - 3 wrt i?\nAnswer: -114*g**3 + 434202*g**2 - 18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -4 - 2 + 7*k**2 - k**3 + 3. Let q be h(7). Which is greater: q or -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 223 (base 4) to base 7.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1198300 by -50.\nAnswer: -23966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 (base 14) in base 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = h + 4. Let r be x(-1). Suppose 0 = -r*s - 5*i - 10, 5*i - 30 = 4*s + s. What is the units digit of (-53)\/s - (-24)\/60?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -3  (b) 0.11  (c) -5  (d) 1\/3  (e) -19  (f) -1\/5  (g) 6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rz when two letters picked without replacement from {g: 1, r: 1, z: 1, e: 1, s: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -2*q. Let w(y) = -5*y + 34. Let l be w(10). Let m(a) = -6*a. Let j(s) = l*p(s) + 5*m(s). Let k(h) = 2 - h**2 - 2. What is j(k(z))?\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*d + 3*l + 12 + 4 = 0, 2*d - 3*l - 8 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 6, t: 12}. What is prob of sequence rt?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*t - 18 + 18 - 5*t.\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16718 + 42345 + 33419 = 1549*l + 722*l for l.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1814357 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 153*a + 5476 + 1075 + 1099 for a.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*a - 4*h - 106, -3*h + 20 = -8*h. Let k = -21 - a. Let y = -44 - k. Let q(n) = 2*n - 3. Determine q(y).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-2)\/(-2) - (-84)\/14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -305*0.3.\nAnswer: -91.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 - 21*i**2 - 24 + 27*i**2 - 15*i**2 to h*i + b*i**2 + q and give b.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 36, 68, 100, 132?\n\"Answer: 32*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 96 - 3?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -a**2 - 1010*a - 229433. Determine r(-345).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3 - 4) + -3 - (6 - 7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*r = -4*f - 0*f - 60, r - 108*f + 102*f + 14 = 0 for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45 - 79 = -2*l. What is the third derivative of -l*u - 6*u**2 + 63*u + 34*u**5 + 6*u**5 wrt u?\nAnswer: 2400*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1\/5  (b) -2\/5  (c) 193\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -2*d + 7. Suppose 0 = 10*q + 22 - 112. Suppose 0 = 12*f + 81 - q. Determine m(f).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3220*s = -3536*s - 33*s + 122202 for s.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 3953503 divided by -1\nAnswer: -3953503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 762832 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 11, 22, 35, 50?\n\"Answer: v**2 + 8*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 9728 - 4?\nAnswer: 9724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 458 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = 1 - 12*x**2 + 13*x - 2*x**2 + 13*x**2. Does 31 divide g(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13922 is divided by 1972?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -2*s**3 - s**2 + 6*s + 2. Let u(x) = x**3 - 3. Let n be u(0). List the prime factors of m(n).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 3, u: 1, j: 9, f: 2, w: 3}. What is prob of sequence fwwf?\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 4 and 1141216.\nAnswer: 1141216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 3\/21 - 255\/21. Let x(q) = -q - 8. Let j be x(l). Solve -2*w - 4 = j*z, w + 3 - 1 = 5*z for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) be the second derivative of 7*p**6\/10 + 11*p**3\/6 + 14*p. Find the second derivative of t(m) wrt m.\nAnswer: 252*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -5.8 and 533691561815.\nAnswer: 533691561809.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-900)\/(-27)*(-24)\/(-32) is divided by 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 29*y**2 + 3507*y + 110*y**2 - 3507*y.\nAnswer: 139*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 1, t: 1, c: 1, o: 1, n: 2, i: 1}. Give prob of sequence ato.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0\/(-2)*(-32)\/32?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rkk when three letters picked without replacement from {a: 3, r: 5, u: 5, k: 2, e: 1}.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 343385714 to the nearest integer?\nAnswer: 18531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -403*k + 1155*k - 398*k - 4 + 4 - 377*k.\nAnswer: -23*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -13, 0.04, 1.7 in increasing order.\nAnswer: -13, -4, 0.04, 1.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -304  (b) 2  (c) 3519\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (5*sqrt(171)*4)\/(sqrt(9) - sqrt(81)*-1).\nAnswer: 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 631 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 636 minutes before 4:48 PM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 121 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -u**2 + 40*u + 2629. Determine o(75).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 154462?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -11 + (-6)\/(-1)*3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -12 - -6. Let v(p) = p**3 + 5*p**2 - 6*p + 2. Let g be v(s). Suppose -g*w + 44 + 110 = 0. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 6*c + 15. What are the prime factors of h(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -506, -1016, -1528, -2042, -2558, -3076, -3596?\n\"Answer: -t**2 - 507*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 2, s: 2, i: 3, j: 3, u: 5}. What is prob of sequence jis?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 767914834.\nAnswer: 2, 383957417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-119)\/(-7) - 9 - 6. Suppose -2\/11*b**3 + 2\/11*b**s + 0 + 0*b = 0. What is b?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = 24*q**2 - 238*q - 20. Let d be t(10). Let 8\/5*c**2 + d*c**3 - 4\/5*c**4 - 4\/5 + 0*c = 0. What is c?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 33*c - 204 + 91 = -4*j, 3*j + 2*j - 2*c + 75 = 0 for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v - 5*f = 28, v + 22 = 4*f - 7*f. Which is the closest to 0.2?  (a) v  (b) 3  (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2838*i**6 - 90*i**2 - 6*i?\nAnswer: 340560*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 480 + 54*k**3 - 168 - 312 + 39*k**3 + 66*k**3.\nAnswer: 159*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -291 - -301.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -5595651  (b) 1\/3  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -3, 0.04, 2\/15, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w + 6*w = 36. Let i = 42 + -23. Suppose i*x + x - 100 = 0. Solve -8 = 4*r + w*q, -r - 3*r - 12 = x*q for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) be the third derivative of -i**6\/30 + 86*i**5\/15 - 880*i**4\/3 - 7744*i**3\/3 + 2*i**2 + 94. Factor x(k).\nAnswer: -4*(k - 44)**2*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 6.589 to 1 dp.\nAnswer: 6.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 2810385600 a multiple of 202?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(4\/7)\/y)\/(y**(-4\/3)\/y))\/(y*y**(-6)*y*y*(y*y*y**(2\/5))\/y*y) assuming y is positive.\nAnswer: y**(263\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 578 is divided by 19.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 10?  (a) -4  (b) 4  (c) 0.1  (d) 0.0939737\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/3?  (a) 0.3  (b) -4  (c) 28\/85\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 826155.6 rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 97 and 402841.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/(w\/(w\/(w*w**(3\/20)))))**(-1)\/(w\/w**18*w)**1 assuming w is positive.\nAnswer: w**(323\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2017.1705 + -0.3695. Let g = u + 1999. Let i = -17 - g. What is i rounded to 0 dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2\/31, -0.01, 5, 1, 242?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wdeetddkd. Give prob of sequence tek.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand -945*p + 945*p - 28*p**4 + (3*p - 4*p + 0*p)*(3 + 2*p**3 - 3).\nAnswer: -30*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4005 divided by 1335.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8682?\nAnswer: 2, 3, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(5\/3))**(-10)\/((n**5*n)\/((((n*n**0\/n)\/n)\/n)\/n*n)) assuming n is positive.\nAnswer: n**(-74\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8, 2, -4, -3, -5 in ascending order.\nAnswer: -5, -4, -3, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*j + 0*j + 281556 = 4*j. What are the prime factors of j?\nAnswer: 2, 3, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y - l + 8 = 2, y = 2*l - 3. Suppose 4*p - 16 + 4 = -y*z, 2*z = p + 19. Calculate the remainder when 31 is divided by z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -54 and -16.8?\nAnswer: 907.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = d**2 - 5*d. Let s(p) = 2*p**2 - 5*p. Let m(a) = 2*a**3 - 22*a**2 + 54*a - 44. Let q be m(8). What is q*w(y) - 3*s(y)?\nAnswer: -2*y**2 - 5*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express (1302*q - 242*q**2 - 471*q**2 - 1302*q)*(-1 + 2 - 3) + 6*q**2 - 26 + 26 as f*q + g + i*q**2 and give i.\nAnswer: 1432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*i**2 + 0*i + 485 - 7*i + 6*i + i to f*i + b*i**2 + k and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 533 and 352391?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1.7 + -1.3. Which is the nearest to 1?  (a) -1  (b) -2  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k = -29 - 35. Let f be 9\/(-4) + -3 + 52\/k. Let v be (4 + -2)\/(-2)*-3. Sort f, 5, v.\nAnswer: f, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 39 divide 4480?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 5*((-8)\/(-10) - 0). Let c = -11 - -11. Suppose -4*d - 94 = -5*o - c*d, -67 = -p*o - 5*d. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -40 + g**2 - 3*g**3 - 2*g**3 + 7*g**3 to the form f + k*g**2 + w*g**3 + z*g and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 539, 554, 573, 596, 623, 654?\n\"Answer: 2*g**2 + 9*g + 528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (3 + 12)*2\/6. Calculate the common denominator of -48\/7 and 573\/(-280) + 25\/g + -3.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000010355182 to 6 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -n + 2*k, -n + 24 = n + 2*k. Calculate the remainder when 23 is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/6 - 308\/(-48)*(-30)\/105?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -332 + 327. Let i(v) = 7*v**2 - 7*v + 2. Let n(b) be the second derivative of -b**4\/2 + b**3 - b**2 + b. What is x*i(h) - 6*n(h)?\nAnswer: h**2 - h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -5088 divided by -1\nAnswer: 5088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16834077.\nAnswer: 3, 13, 143881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 3*w**3 - 24*w**2 - 1. Let c be a(8). What are the prime factors of 5 + 2 + -3 + (c - -342)?\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n = -4*j + 37, -3*n - 40 = -5*j + 2*n. Let u(d) = j*d - d - 4*d - d. Let t(b) = 2*b + 0*b - 4*b. Calculate u(t(i)).\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1411 + -0.1.\nAnswer: 1410.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -4*y - 3*l + 2, -5*y = 4*l - 4. What is the tens digit of y - (-6)\/(-9)*-12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) be the first derivative of -1\/60*n**5 - 2\/3*n**2 - 5\/36*n**4 - 4\/9*n**3 - 2 - 8*n. Let l(v) be the first derivative of z(v). Factor l(q).\nAnswer: -(q + 1)*(q + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + 625 = 8*z. Let p = 623\/5 - z. Let u = -489 - -488.9. Which is the smallest value?  (a) 0.4  (b) p  (c) 2  (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -210\/2267 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 732a8b (base 12) to base 11.\nAnswer: 1026178","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) be the third derivative of -l**4\/12 + l**3\/3 + 3*l**2. Let i = 5 + -7. Let z(h) be the first derivative of -h**2 + 2*h - 1. What is i*u(c) + 3*z(c)?\nAnswer: -2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 7, l: 1}. Give prob of picking 3 r.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 305 = 16*y - 79. Calculate the highest common factor of y and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3151800 divided by -51?\nAnswer: 61800","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 7.22314 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -n + 4 - 2. Suppose -n*t = -0*t + 5*f - 62, 2*t - 4*f - 26 = 0. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 274616153?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 14 + -13.5. Which is the closest to -1?  (a) -1\/10  (b) -3\/2  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2686232 and 12.\nAnswer: 8058696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -19 - -77\/4. Let q = 197 - 195. Factor 5\/4*n - 3\/2 - z*n**q.\nAnswer: -(n - 3)*(n - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (4 + 0 - 5)*(1 - 3*i + 3*i - 3*i**2) + (-i**2 + 0*i**2 - 8*i**2)*(3 + 0 - 1) in the form s*i**2 + b*i + x and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*x**2 - 6*x**3 + 5*x + 2*x**2 + 7*x**3 in the form v*x**3 + w + q*x + f*x**2 and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) be the second derivative of -c**3\/6 - 3*c**2 - 3*c. Give s(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = 4*r - 46. Let a = -4808 + 4815. What is the lowest common multiple of a and r?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 26\/161 and -73\/50?\nAnswer: 8050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 4 = 73. Suppose -155 = -4*q + b. Let z = q + 15. List the prime factors of z.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 452, 1054, 1682, 2336, 3016?\n\"Answer: 13*m**2 + 563*m - 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1460 divided by 5.\nAnswer: -292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -q**3 + 14*q**2 + 171*q - 27. Let g be m(-8). Solve -u - 3*z = 5, 5*u - 10*z + g*z = -25 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-36)\/4*4\/36*-3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 13340010 and 230?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 46711 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -b*g + 3*b*n + 30*b + 2*g*n - 2*g with respect to g.\nAnswer: -b + 2*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000342060348 rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by 97.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iiicisjrcjcsiiiqii. What is prob of picking 1 c and 1 j?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 7}. Give prob of picking 4 m.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 8*f**3 + 68*f**2 + 232*f + 1641. What is b(-8)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1528, 3041, 4542, 6025, 7484?\nAnswer: 8913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1*(18\/24)\/(-3*6\/72)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 18 - 18. Let i be (2 + -1)\/(-1)*m. Suppose 0*u + u - 4 = i. Solve -k = -4*g + 8, -k + g = -u*k + 15 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 225 a factor of 884131200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-779776)\/(-10))\/2 + -1 + 4\/20?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = 5 - 8 + 2*x + 6 - x. What is w(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -134287*t + 9. Let s(z) = z**3 + z**2 + z - 2. Let j be s(0). Let w be 2*1\/j - -8. Let i be n(w). Round i to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 0  (b) -16  (c) 5  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-3 + 6 + (-1 - 2))*1. Let n(b) be the second derivative of 0 + 1\/5*b**5 - 1\/3*b**3 + 0*b**4 + u*b**2 + 2*b. Find the second derivative of n(a) wrt a.\nAnswer: 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 41612.\nAnswer: 2, 101, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 23991603491 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -2509690 divided by 5\nAnswer: -501938","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express -7*c + 714*c**4 + 6*c**3 + 2 - 19*c - 712*c**4 - 4*c**3 in the form r*c**4 + y*c**3 + k*c + j + o*c**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 85 + 22. What is the remainder when z is divided by (27\/54)\/(2 - (-107)\/(-54))?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 7759919 to the nearest integer?\nAnswer: 2786","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 313135451 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -82 = u - 84 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 8 - 9. Let s be -1 - -3 - (2 + 0). Sort s, -2, o in increasing order.\nAnswer: -2, o, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -49, -160, -275, -394, -517?\nAnswer: -644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 201 = 3*o + 5*f - 793, 4*f + 976 = 3*o. Suppose -j + o = 2*x, 2*x - 334 = -4*j - 0*j. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (10 + 42*c - 383*c - 505*c - 8)*(6 + 4 + 1) to the form p*c + u and give u.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12083942.\nAnswer: 2, 13, 464767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = m**3 - m**2 + m + 12. Let l be v(0). Suppose -4*r + 74 = 3*j, 4 - l = -j + 2*r. Suppose 2*b = 5*b - j. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5 by 4.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 175 + -245. Calculate the remainder when 154 is divided by ((-800)\/g)\/(2\/7).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27*a - 16*a = -64*a + 147 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 141 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 110 minutes after 1:13 PM?\nAnswer: 3:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t = a - 135, 5*t + 8 + 127 = -3*a. Is (-6)\/t - 1475\/(-45) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -34580 = -54224510*w + 54224130*w for w.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 3260207413 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.3 * 35.9.\nAnswer: -10.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is a + -6454?\nAnswer: -6445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qqqq when four letters picked without replacement from {q: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -23 - -2802528?\nAnswer: 2802505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -w**3 - 6*w**2 - 5*w + 2. Let z be c(-5). Suppose 2*u - 4 = s - z, 4 = -u - 2*s. Let d = -335 + 338. Solve -3*n + u = d for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = 2167*y - 4334. Determine n(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2689783 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 2\/7, 1\/3, 7, -1, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -119.99889 - -120. Round c to four dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 652.89 or 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 40*h**2 - 488*h**2 - 883 - 148*h**2 - 242*h**2 wrt h?\nAnswer: -1676*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 266\/12 - 15\/90. Let r = -17 + x. Suppose t - 4*t = -y + 2, 0 = 5*t - r*y. Let g(k) = -1. Let n(l) = -2*l + 1. Determine t*n(h) - g(h).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7*f**2 + 2*f**2 - 34*f**2 + (0*f + 3*f - 2*f)*(3*f - 2*f + 0*f) to b + z*f**2 + v*f and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 7, h: 2, d: 1, n: 7}. What is prob of picking 1 d, 1 h, 1 c, and 1 n?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -209183145 divided by -41836629?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (64\/(-224))\/(99\/3234).\nAnswer: -28\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = 21*p - 1. Let u(c) = -c - 17. Let f be u(-22). What is the hundreds digit of y(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1 - -1 - 0) + 42. Suppose 0 = -2*s - 3*w + 167, 7*w = 2*w + 25. Let z = s - l. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 131 is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 366 minutes after 9:01 AM?\nAnswer: 3:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 332782?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 25513.84 to the nearest 100.\nAnswer: 25500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 3\/(-12) - 33\/12. Let q(u) = 2*u**2 - 35*u + 17. Let h be q(17). Suppose -2*j + 0*g + 2*g = -14, h = j - 4*g - 13. Sort j, 0, x, -2.\nAnswer: x, -2, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5929486, 5929481, 5929474, 5929465, 5929454?\nAnswer: 5929441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -23*g. Let f(c) = 535728*c. Calculate f(v(p)).\nAnswer: -12321744*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 5 - -2 - 8 - 4 - 0\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 214864 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -4 + 11 + 21 + -32\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2 - -18. Suppose -4*r - 5*l = w, -2*r + 7*l - 4*l + 12 = 0. Is r <= 1\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 1 l when two letters picked without replacement from {d: 1, t: 3, l: 11}?\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 294, 0, 2\/43 in decreasing order.\nAnswer: 294, 2\/43, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 10*5*6\/60. Suppose -z = p*a - 26299990, -2*z + 13095900 + 39504092 = 4*a. What is z rounded to the nearest one million?\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.03316808403 rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 25b5 (base 15) to base 5\nAnswer: 224140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -0*t + 3*t. Let n(o) = 4*o - 3. Let k be n(0). Let a(h) = -2*h - 6. Let m be a(k). Put m, t, -5 in descending order.\nAnswer: t, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2090481563 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 17, -5, -16, -4, 4 in ascending order.\nAnswer: -16, -5, -4, -1, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y and 3 k when four letters picked without replacement from {y: 2, k: 3}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -180 + 169.748. What is f rounded to 1 decimal place?\nAnswer: -10.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -95, 0, 1, 5 in descending order.\nAnswer: 5, 4, 1, 0, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:13 PM and 6:44 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 45388 and 2676?\nAnswer: 30364572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (14 + 3)\/(3\/(-6)). Let q = 21 + p. Let j = q - -15. Solve -j*s = s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4861 - 4614. Do 242 and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 96940 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:26 AM and 5:26 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 10\/4 - (-12)\/8. Suppose l + 6 = i*l. Suppose 3*z = 2*z + l. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 373207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = z - 14. What is i(6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) be the third derivative of -b**6\/120 + b**5\/20 + b**4\/12 + b**3\/6 - 8*b**2. Let j be l(3). Solve j = 4*v + 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*((sqrt(891) - sqrt(891)*2*1) + (sqrt(891) + -1)*-4)*1)**2.\nAnswer: -9000*sqrt(11) + 557275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -2*q**3 - 2*q**2 + 2*q - 3. Determine s(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(340)*-2 - sqrt(340))\/sqrt(10))\/(sqrt(6)\/sqrt(3)*1).\nAnswer: -3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -54788*c*m**3*x**3 + 1056*c*m**2*x + 15*c + 33*m**3*x**3 - m**2 + 10*x**3 wrt m?\nAnswer: -328728*c*x**3 + 198*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) be the second derivative of 0*q**2 + 0*q**5 + 0 - 3*q - 1\/10*q**6 + 0*q**3 + 1\/4*q**4. What is the third derivative of f(h) wrt h?\nAnswer: -72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1 - -1. Let f be (s + 5 - 2)*-2. Does 3 divide (-38)\/f + 4\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 185391 (base 11) to base 10.\nAnswer: 285297","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1890*h**4*r - 4*h*r - 53*r - 1 wrt h.\nAnswer: -22680*h**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -83*x + 78*x + a = 11, 4*x = a - 9 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 25636027?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2.6 - -6.6. Which is the second biggest value?  (a) o  (b) -5  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -684, 4\/7, -5354?\nAnswer: -5354","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 54\/12*4\/(-3). Let b be r\/9 + 1\/(-3). Let x be 2\/((75\/(-5))\/5 - -4). Put -5, b, x, -16 in increasing order.\nAnswer: -16, -5, b, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 take away 52261493551?\nAnswer: -52261493552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -41*n + 37*n + 207156 = 2*g, -2*n + 3*g + 103594 = 0. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (w**2 - 2*w + 2*w)*(3*w - 2*w + 0*w) + (w - 2*w + 3*w)*(-499*w**2 - 18 + 8 + 500*w**2 - 11*w).\nAnswer: 3*w**3 - 22*w**2 - 20*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -w**2 - 12*w + 2. Let q be g(-12). Suppose v = d + 305, -679 = -4*v - q*d + 565. What are the prime factors of v?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 4*f**2 - 96*f + 2. Let x(o) = -2*o**2 + 48*o - 1. What is 3*u(t) + 5*x(t)?\nAnswer: 2*t**2 - 48*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -2*j**2. Let z(h) = 1252*h**2. Determine b(z(r)).\nAnswer: -3135008*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 475, 1468, 3121, 5428, 8383, 11980, 16213, 21076?\n\"Answer: -j**3 + 336*j**2 - 8*j + 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3614138?\nAnswer: 2, 11, 164279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -148, -297, -446, -595, -744, -893?\nAnswer: -1042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -13369?  (a) 8  (b) -2  (c) 0.4  (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 12 + 4670*g**3 - 12*g - 2337*g**3 - 3*g**2 - 2330*g**3.\nAnswer: 3*(g - 2)*(g - 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 736 and 462068896.\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -21840 - -66359. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(539) + -5 + (sqrt(1584)*-6)**2.\nAnswer: 7*sqrt(11) + 57019","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 21169 is divided by 214.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q + 8 = j, 2*q - 40 = 4*j - 114. Suppose 0 = -4*v + 2*m + 166, 3*v + 3*m - 100 = j. What is the greatest common factor of v and 328?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*d - 4*d + 30*d - 15*d - 2*d - 2*d.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 14 - 84. Is (-4)\/5*y\/4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2943824 and 317824.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -27*i - 2*i + i. Let d(k) = -k**2. Determine c(d(j)).\nAnswer: 28*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -0.0873 * -1066\nAnswer: 93.0618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 15\/29  (b) -10  (c) 0.2  (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve x - 140*q + 139*q - 3 = 0, 2*q = -10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 42*t - 40*t + 2*c = 86, -154 = -4*t + 2*c. What is the lowest common multiple of t and 48?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 330.082 rounded to the nearest 10?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 5693054371?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -13*v + 10*v + 33. Suppose -15*y + v*y = -4. Which is smaller: y or 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.349?  (a) 16  (b) -0.5  (c) -85  (d) -60\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 2 + 132534135?\nAnswer: 132534141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 10*z**2. Let n(i) = -13*i. Calculate y(n(g)).\nAnswer: 1690*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from cbccv. What is prob of picking 1 v, 1 b, and 2 c?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 - (-7 + -4) - 11 - (0 - -12)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 112 - 73. Let z be ((-91)\/q - 1\/6)*-2. Suppose -5*o + y = 3*y + 83, -5*o = -z*y + 90. Which is greater: -16 or o?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w + 20 = 116. Let c = w + -77. Let o = c + 173. What is the highest common divisor of o and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 539 minutes before 12:37 PM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28 = 2*l + 5*l. Let h be 2 - (44\/(-36) + 3). Which is the closest to h?  (a) 0  (b) -2  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12322825997 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.5 - 0. Sort c, 0.4, 2 in descending order.\nAnswer: 2, c, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1660 by 10.\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 34\/3 and 20\/123.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -v + 4. Let f be l(2). Let r be (-5 + 1)*6\/(-8). Suppose -30 = -f*s - r*s. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -t**3 + 23*t**2 + 31*t + 15. Determine a(24).\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 21739, 43512, 65287, 87064, 108843, 130624?\nAnswer: 152407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_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: What is the remainder when 59499332 is divided by 38?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (940\/347565)\/((-12)\/(-102))\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 827?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.5486636 rounded to 3 dps?\nAnswer: -1.549","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -29, -56, -85, -116, -149, -184?\nAnswer: -221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 41086.\nAnswer: 2, 20543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 866179898 to the nearest integer?\nAnswer: 29431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 7*o - o**2 - 5*o - 11*o**3 + 6*o**2 + 10*o**3 - 10. Let y be m(5). Which is greater: -3\/56 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 258167?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 41644?\nAnswer: 2, 29, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*o - 2*o = 110. What is the remainder when 42 is divided by o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -z**2 + 13*z - 27. What is h(6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is -666 bigger than -662?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 4 - 1)*(-31*v - 30*v - 11*v) + v + 5 - 5 + v - 2*v + 2*v + (2 - 5 + 2)*(-v - 5*v + 4*v).\nAnswer: 76*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 9 and 3302?\nAnswer: 29718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 175 minutes before 8:28 AM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14381 is divided by 2396?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -14454 + 14454.00012437. What is r rounded to five decimal places?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2\/15, -5, -100, 3\/7, 5, -0.07, 0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 595148744?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*n - 168 = -142. Suppose -n*h + 3*m = -1397, 6*h = 2*h - 4*m + 2804. What are the prime factors of h?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -6 - -6. Suppose -3*m = -3*u - 105682 - 116309, p = -3*u - 4*m - 222012. What is u rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*x**2 + 3*x**2 + 24*x**2 to the form p*x**2 + g*x + o and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 1, k: 1, o: 3, s: 4, b: 6}. What is prob of sequence ssbk?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) be the second derivative of 61*u**3\/6 - 15*u**2\/2 + 37*u. Is 21 a factor of w(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.1516 to 2 decimal places.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 155\/246 and 11\/246.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 447 + 477 = 4*r. Let l = r + -52. List the prime factors of l.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + (sqrt(171)*-2 - sqrt(171) - 1*(sqrt(19) + sqrt(19) + (sqrt(19) - sqrt(57)\/sqrt(3)))))**2.\nAnswer: -110*sqrt(19) + 2324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 1 + -3 + 2 + -8 + (6 - 0)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - (2 + -1)) + -1 + -1219 + 1211?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 80678 and 75157763.\nAnswer: 3103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from bbdb.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2  (b) 1.4  (c) 9.1  (d) -1  (e) 0.1  (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-14)\/(-8) - (-5)\/20. Suppose p*r + 19 = v, v + 3*r - 25 = 7*r. Calculate the remainder when 38 is divided by v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -23.4 + 28. Let c = f - 0.7. Let j = 0.1 + c. What is the second smallest value in j, 2, -2\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -54\/7 and -77\/696666.\nAnswer: 4876662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-8491)\/2041 - 4\/(-26) - -4. Let p = -965\/3611 - l. Is 1 != p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -355, -394, -455, -538, -643?\n\"Answer: -11*m**2 - 6*m - 338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 m and 1 s when three letters picked without replacement from {l: 2, s: 6, m: 4}?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 108 + -85. What is the second derivative of 24*s**3 + 1505 + h*s - s**5 - 1505 wrt s?\nAnswer: -20*s**3 + 144*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**1)**(-1\/31)*((r**0*r)\/r)**(35\/3) assuming r is positive.\nAnswer: r**(-1\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -8*v + 1. Suppose 2*d + d + 17 = 5*a, -5*a + 19 = -d. Let k(y) = -3318*y - 3313*y + 6616*y + d + 1. What is 6*k(z) - 11*q(z)?\nAnswer: -2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 4\/((-8)\/(-6)) - 1. Solve q*k = k + 4 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*b = 4*b. Suppose -5*o + v + 49 = b, 4*v - 29 = -5*o - 0*v. Is 5 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11907659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 53842.036 + -111.036. Let j = 53697.0135 - x. Let k = j - -34. Round k to 3 dps.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + -3 + (sqrt(1872) - (sqrt(1872) - (2 + 1 + sqrt(1872))) - (1 + sqrt(1872) + 4)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2 - ((8 - 5) + -7). Let m(u) = 2*u - 2*u - 4*u + j*u. Let y(x) = -21*x**2. Determine y(m(n)).\nAnswer: -84*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(3) + (sqrt(243) + 1 - sqrt(3)) - 1*sqrt(3)*-3) + ((sqrt(180)*3)\/sqrt(12))\/sqrt(5) + 2)**2 + 1.\nAnswer: 90*sqrt(3) + 685","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 58 = 318. Let l = -32 - u. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2384 rounded to 2 decimal places?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -2205*j**3. Let q(w) = 114*w**3 + 14. Let p(h) = -38*h**3 - 5. Let x(k) = -14*p(k) - 5*q(k). What is 3*a(n) - 175*x(n)?\nAnswer: 35*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 296 minutes after 1:19 AM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b*b**(-7))**(6\/19) assuming b is positive.\nAnswer: b**(-36\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4431 + 10*l**2 + 4431.\nAnswer: 10*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:41 AM and 7:47 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 8\/10 - 8*(-63)\/(-180). Let v be 4 - (0\/m + 5 + -1). Sort 1, -3, v, 46.\nAnswer: -3, v, 1, 46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 at most as big as -58822839\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 10 + -6. Suppose -4*i + d*p + 28 = 0, 4*i - p + 2 - 15 = 0. What is the second derivative of b - b**2 + 0*b + i*b wrt b?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -21 in -0.2, 2\/7, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28*p - 13*p = -45 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = l + 5, -39 = -3*d - l + 28. Is 8 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 18986 - 10785. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 7 - 30. Let y = u - -22.99949. Round y to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + (-2 - (1 - 0))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.938 - -0.062. What is the nearest to g in 1, -0.09, -1\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -6113567*j. Let c(t) = -278*t. Give c(b(z)).\nAnswer: 1699571626*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Do -0.22 and -3.26126 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -o + 3. Let p(q) = q**2 + 2. Let c = 8 + -5. Calculate the remainder when p(c) is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine l, given that 2\/3 - 14\/3*l**4 - 16\/3*l**3 + 4\/3*l - 4\/3*l**5 - 4\/3*l**2 = 0.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1290405182*f**4 + 5696762*f**2 + 24 wrt f.\nAnswer: 30969724368*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -7 - -17. Solve -n = -0*l + 5*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 28762280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is w in -w**5\/6 - w**4\/6 + w**3 + 2*w**2\/3 - 4*w\/3 = 0?\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*a + 5*a - 3*a)*((-2 - 1 + 2)*(0 - 1 + 0) - 64 - 2 - 100)*(0 + 2 + 0)*(0 - 1 - 3) to k + r*a and give r.\nAnswer: 2640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -9*z**3 + 2*z**2 + 2*z. Let k be l(-1). Suppose r = -2*f + k, 0 = 5*f - 0*f - 20. Which is bigger: r or -9?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1719495990?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3917109.\nAnswer: 3, 7, 26647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1.5 - -0.5. Let l = s + -1. Let a = 46\/9 - 52\/9. Which is greater: a or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(153) - (sqrt(153) - (sqrt(153) + sqrt(153) + (sqrt(153) - -1*(-1*sqrt(153) + sqrt(153))) - sqrt(153))))\/(3*sqrt(9)*3).\nAnswer: 2*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 507 minutes after 1:08 AM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -746.2 and 0.6?\nAnswer: -447.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 5*w = 2, p - 2*w - 4 = -0*w. Suppose -c = -5*c + p. Suppose -4*r - c = 2*b - 0*r, -2*r - 43 = -5*b. Solve -9 = -k - 5*f, 2*k + 0*k = f + b for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -19, -34, -49?\n\"Answer: -15*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 22 (base 6) to base 9.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3*v**3*z**5 - 165*v**3*z**3 - 3*v**3*z - v**3 - 42*v*z wrt z.\nAnswer: 60*v**3*z**3 - 990*v**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 59412 - 59417. Let h be (1 - 0)\/(2\/4). Let w(r) = -r**3 - r**2 + r + 2. Let d(a) = -3*a**3 - 2*a**2 + 2*a + 5. Calculate h*d(q) + u*w(q).\nAnswer: -q**3 + q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0\/3)\/(6\/(12\/(-2))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 41 + -57. Let z = l - -22. Is (2 + 0)\/2 + z a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s + 16*q - 9 = 17*q, 0 = s - 3*q - 3. Suppose s*d + 870 = 13*d. What is the remainder when d is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = -a - 5. Let r = a + -8. Suppose -n + r + 3 = 0. Is n a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p - 3*y = -7, -6*y + 2*y + 5 = -3*p. Let r(u) = 2*u**2 + u - 1. Let o be r(p). Solve -o*a = 3 - 11 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 17 + 33 + -14 + 5 + 3?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 304104855?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3198 = 2*s - 5*p + 166, 0 = 2*s + 2*p - 3060. Let l = -172 + 3098. Let w = s - l. What is w rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(500) - sqrt(500)*-1*4) + sqrt(500))\/sqrt(10)*-3)\/(-4*-2*2*sqrt(360)).\nAnswer: -3*sqrt(5)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 6627, 6654, 6681, 6708, 6735?\nAnswer: 6762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*m + 59 = 23. Find the first derivative of -451*r + 451*r + 8*r**m - 4 wrt r.\nAnswer: 24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -7*x + 4*x. Suppose -x*m = -0*m - 39. What is the remainder when 1*(m + -2 + 0) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 18060.64us?\nAnswer: 18.06064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 212 - -4043233?\nAnswer: 4044000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1113041 and 25.4?\nAnswer: 28271241.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -d**3 + 9*d**2 - d + 9. Let p be s(9). Suppose 0 = -3*m - p*m + 6. Solve 0 = -m*h - 2*h + 4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 99724815?\nAnswer: 3, 5, 359, 6173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 829846?\nAnswer: 2, 414923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -324288, -324415, -324578, -324777, -325012?\n\"Answer: -18*q**2 - 73*q - 324197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 11 - 9. Suppose b - 3*x = 4, j*b - 7*b = -5*x - 60. Calculate the least common multiple of b and 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -4548, -9129, -13746, -18399?\n\"Answer: -18*g**2 - 4527*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2696684544 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -14615 (base 9) to base 6\nAnswer: -114105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -84 - 56*t + 86*t - 48 - 29 - 6*t**2 + 0*t**2 wrt t.\nAnswer: -12*t + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*h - 194 = -5*r, 189089*r = 189094*r + h + 22 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5964 + 5964 - 756*v + (v + 2*v - v)*(0 - 2 + 4) + 2*v + 0*v - 3*v)*(2*v - 2*v - 2*v) as l + f*v**2 + o*v and give f.\nAnswer: 1506","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v = 4*n - 48 + 15, -n = -3*v + 13. Let j(o) = -o**2 + o + 4*o - 1 + n. Let d be j(5). Solve y - d = -b + 9, -4*b = -4*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 41*w + 108. Let s be f(8). Suppose 5*g = -4*h + 845, -33*h + 35*h - 2*g = s. Does 13 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 514 = -105*z - 619 - 127 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p = j + 5, 0 = 5*p - 0*j + 4*j - 7. Let h be (-2)\/p + (-4)\/(-6). Let f be 1*(h - -2*1). What is the greatest common factor of 22 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 73\/18 and -41\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -746242, -746182, -746122, -746062, -746002?\n\"Answer: 60*c - 746302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*z + 4*z - 3 + 2*z - 6*z as b*z + d and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -7*g**3 + 3113*g**2 + 881*g + 3987. Give q(445).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 8883 + -8871. Which is the smallest value?  (a) g  (b) -58  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-1)\/(35*(-14)\/9730). Do c and 19 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 133\/72 and -11\/48.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 2, w: 1, h: 2, x: 1, t: 1}. What is prob of sequence txh?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Determine p so that 2139*p**2\/4 + p = 0.\nAnswer: -4\/2139, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1910 divided by 1910.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-104)\/(-6) - -238*11\/(-154))*(0 - 3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1455737520?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 464801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = k**2. Let q(i) be the second derivative of 3*i**4\/2 + 5*i. Determine p(q(n)).\nAnswer: 324*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/(t*t**(-1)*t))**(-10\/11)*t\/(t*(t**(-2\/11)*t)\/t*t*t)*(t*(t*t*t**(-1\/3)*t)\/t)\/t*(t*t**0*t**(-7))**(2\/145) assuming t is positive.\nAnswer: t**(-1121\/4785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-4)\/14 - (-16)\/7. Sort 3, -5, h in descending order.\nAnswer: 3, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -46, -58, -40, 8, 86, 194, 332?\nAnswer: 500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 3\/40 of a microsecond?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -1\/2, 69, 14 in ascending order.\nAnswer: -1\/2, 5, 14, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 20 + -20. Suppose -20 = -4*l - v. Suppose 3*d - l = 1. Put -4, 5, d in increasing order.\nAnswer: -4, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = 18*n - 25. What is h(2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:45 PM and 5:58 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 20953643 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -170405 (base 8) in base 4?\nAnswer: -33010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 328, 681, 1026, 1357, 1668, 1953, 2206?\n\"Answer: -r**3 + 2*r**2 + 354*r - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a = -4*z + 50960, -19*z + 16*z + 38213 = 2*a. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 16931.31 decades?\nAnswer: 169313.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000814258645 to 7 dps.\nAnswer: 0.0000814","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + -6 + 13 + -3 + -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -3 + 0*g + 2 + 3*g + 3*g. Let d be m(1). Let v = -0.3 + -1.7. Which is the closest to 0.1?  (a) v  (b) 2  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*f + 2*g + 19, -g + 5*g = -2*f + 22. Let t = -2 - -1.9. Which is the nearest to 1\/7?  (a) -1  (b) f  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 657179 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 6.781 bigger than 42\/89?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -3350 - 422?\nAnswer: -3772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 99 and 8082.\nAnswer: 88902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -475, -500, -545, -610, -695, -800, -925?\n\"Answer: -10*u**2 + 5*u - 470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 28 + 87. Let b = 207 - k. Let j = 92.057 - b. Is j less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) be the third derivative of d**5\/5 + 96*d**2. Let x(r) = 7*r**2. Calculate y(x(w)).\nAnswer: 588*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1412 and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*u**4 + 25626*u**3 + 2929340*u**2 + 111854400*u + 1422176000 = 0. Calculate u.\nAnswer: -12698, -40, -35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + 72 = 30. Find the common denominator of (z\/(-1) + 0)*(-4)\/2 and -2 - 0 - (-38)\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -26.01 + 26.2. Is k at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 466, 4, -1258, -3722, -7790?\nAnswer: -13864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -410, -370, -324, -266, -190, -90, 40, 206?\n\"Answer: w**3 - 3*w**2 + 42*w - 450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = r**2 - 11*r - 7. Let o be p(12). Suppose -3*y + 4*t + 1256 = 0, 9*y + o*t = 11*y - 849. Does 12 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = r**3 - 145*r**2 - 828*r + 11722. Determine b(150).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:57 PM and 8:08 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 5 + -4.8. Let b = -67.583 + -0.417. Let m = 67.6 + b. What is the fourth biggest value in k, -1, m, 5\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10 - (-12 + (3 - 7) + 9).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -9392, -9375, -9348, -9305, -9240, -9147, -9020, -8853?\nAnswer: -8640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 3555 at most as big as 3551?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i = 4*g + 1731, -2*i - 830 = -3*g - 2134. What is the units digit of (-2)\/(-8) + g\/(-56)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-41)\/246*15\/2\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 103422 (base 5) to base 7.\nAnswer: 13350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -80 + 78. Let p(s) = 2*s - 1. Let l(q) = -1. What is m*l(r) + p(r)?\nAnswer: 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1719.8975 - -0.1025. Let g = -1712.81 + p. Round g to 0 dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 179 divided by 39\nAnswer: 179\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) be the first derivative of -156 + 7\/3*r**3 - 7\/2*r**2 + 3*r + 1\/4*r**4. What is b(-8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 5700 = 3*j, -39*j + 4*f - 3*f + 74019 = 0. Calculate the greatest common factor of j and 598.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -g - 6. Let q be w(-10). Suppose -3*p + q*p = 0. Solve x - j = 2, 13 = -p*x + 4*x + j for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(112) - (sqrt(112) + -1*sqrt(112) + 0)**2 - sqrt(112)) + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 + 0 - 1)*(0 + 0 - 3*v) + 2 - v - 2.\nAnswer: -16*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2 or 6589\/4234?\nAnswer: 6589\/4234","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3602.757ug to kilograms.\nAnswer: 0.000003602757","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o - o + 5*l = 17, 16 = 4*l. What are the prime factors of 43\/2*(-1 + o)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 1.15 and -501477495.8.\nAnswer: -501477494.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 26447 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.22312677 or 5?\nAnswer: -0.22312677","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 13229\/2820 + 5\/564. Calculate the common denominator of 11\/50 and z.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z + 3*i - 98714 = 7*i - 98394, -2*i - i - 70 = z for z.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 11) to base 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 20725?\nAnswer: 5, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k - 18 = k. Let t = 14 - k. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1076 is divided by 183?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 5, b: 11, x: 3, f: 1}. Give prob of picking 1 b and 1 f.\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + -22 - (-18 + (3 - (-15 - -4))).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -2*q**2 - 7*q - 5. Give a(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 17 + -15. Which is the nearest to t?  (a) -3  (b) -2  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 262 is divided by 60.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 7846572 and 11769858.\nAnswer: 23539716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in five quarters of a second?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 33.22 + -49.7. What is v rounded to the nearest integer?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 35950 or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -52*g - 14. Let c be k(5). Let u = c - -406. Does 33 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3055 (base 8) in base 6?\nAnswer: -11153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 2 = 13. Suppose -g*a = 8 + 7. Let m(p) = -p**2 - 13*p - 5. Is m(a) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.0067 - -0.08.\nAnswer: 0.0867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -4\/5, -24, 0.4, 0.6, 1\/3, 2491?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) be the second derivative of o**7\/840 + o**6\/120 + o**3\/2 - 4*o. Let l(f) be the second derivative of g(f). Find the third derivative of l(x) wrt x.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -57\/22, -5\/4, -41 in decreasing order.\nAnswer: -5\/4, -57\/22, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 34574 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 70013180087 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 63116209?\nAnswer: 13, 23, 29, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Determine t, given that t**5 - 40*t**4 - 142*t**3 + 508*t**2 + 2157*t + 1548 = 0.\nAnswer: -3, -1, 4, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -35613, -35614, -35615, -35616?\n\"Answer: -a - 35612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (-109 - 183 - g + 404)*(5*g - g + 0*g + (3 - 3 - 3*g)*(4 - 2 - 4)) as m + u*g**2 + z*g and give z.\nAnswer: 1120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*u - 2*u**3 - 2 + 24*u**4 + 3*u - 10*u**4 - 12*u**4 as t*u + q*u**4 + h*u**3 + c*u**2 + p and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-78)\/(-65))\/(2\/5). Suppose -i*l + 5*k + 505 + 320 = 0, -4*l + 1117 = -k. Suppose -47 = a - l. List the prime factors of a.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 2\/11  (b) 4\/7  (c) 3\/2  (d) 912787\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -y + 20. Let r be q(0). Suppose 0 = -g - 3*g - r. Let b(k) = k**3 + 3*k**2 - 11*k - 3. Let l be b(-5). Sort g, l, 4 in ascending order.\nAnswer: g, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 1\/4 of a millennium?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 75618 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 3808818317 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (sqrt(2) - sqrt(20)\/(sqrt(10) - sqrt(60)\/sqrt(6) - sqrt(10))).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 k and 1 l when three letters picked without replacement from lkqllllllk?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 55873 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1448 by -2.\nAnswer: -724","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 7592 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 32 a factor of 1361728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yyy. What is prob of picking 3 y?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 29695746?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 2*h**2 + 13*h + 13. Let t be f(-6). Let q(g) = 3*g**3 - g**2 - g - 1. Let w be q(-1). Let o = t + w. Solve 5*u - 8 = o*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 537592 (base 12) to base 10\nAnswer: 1319294","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p = 3*o + 19, p - 2*o = 3*o - 5. Suppose -3*h = 2*h + p, 5*g + 4*h + 4 = 0. Suppose 2*s + 27 - 17 = 0. What is the closest to -1\/8 in -1\/2, g, s?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.082 and -3729774.\nAnswer: 305841.468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 657*l + 623*l + 879*l = 103632 for l.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -d (base 14) to base 5.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -11661, -11658, -11665, -11688, -11733, -11806, -11913, -12060?\nAnswer: -12253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2042693813.\nAnswer: 281, 7269373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.08?  (a) -1\/5  (b) 1\/10  (c) -0.4  (d) 21  (e) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 568 minutes after 5:56 AM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -56 = -4*j - 3*a, -2*a + 7*a = -3*j + 42. Suppose -3*r + 51 = j*r. Suppose 85 = -3*v - r*b + 682, -2*v + 418 = -2*b. List the prime factors of v.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2741435 is divided by 3966.\nAnswer: 929","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 561566?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -2314 + -22?\nAnswer: -2340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 536340 to the power of 1\/2, to the nearest integer?\nAnswer: 732","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = 6*x**3 - 4*x**2 - 2*x. Let j(g) = g**2. Calculate -6*j(k) - t(k).\nAnswer: -6*k**3 - 2*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 3, -0.2, -3\/4, -4\/15, 1\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r = 3*r - 300. Calculate the highest common factor of r and 1320.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 466.\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 0.2 + -8705947\nAnswer: -8705946.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1647 and 610?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-19 + -10 + 10 - -16) + -4 + -1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -0*v - 3*v. Sort v, -1, -4 in increasing order.\nAnswer: -4, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 955 is divided by 87.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 4 + 2)*(5 + 3 + 1)*(-2*r + 4*r - 5*r).\nAnswer: 81*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0746 rounded to 2 decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -13 + 8. Let j = r + 11. Suppose 5*m = j*m - 2. Which is smaller: 3\/2 or m?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.687142 meters in millimeters?\nAnswer: 9687.142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -3 - 2*v + 0*v - 3*v + v**2. Let c be s(6). Let q be (12 - 5)*-1 - -6. Put q, 1, c in increasing order.\nAnswer: q, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -197450 rounded to the nearest 10000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 14324327 a multiple of 634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 243357.7 weeks?\nAnswer: 1703503.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 158 + -5 - (773 + -694)\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*m**2 - 2*m**2 - 4*m**2)*(-2*m + 5*m - 2*m) - 29 - 39 + 303*m**3 - 301*m**3.\nAnswer: m**3 - 68","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 43 a factor of 253098?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 3 = -j, -2*x - 7*j + 7 = -6*j. Let a(l) = l**x - 4*l - 19*l + 15*l + 4. Determine a(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 10387?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -278*t + 284*t - 5*n = -53, -3*t - 46 = -4*n. Solve 2*i + 0 - 13\/3*i**t + 1\/3*i**4 + 7\/3*i**3 - 1\/3*i**5 = 0 for i.\nAnswer: -3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -108*z + 376*z + 332*z + 1800 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 540 and 4295740?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 4*q**2 - 20*q - 14. Is u(7) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-32)\/(-128)*(0 - 8\/(-11)). What is the nearest to 0 in 6\/5, i, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (1\/(-2))\/(((-1)\/(-29038))\/(-1)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -10*m**3 + 1. Let d be 2*(3\/2)\/(-3). What are the prime factors of b(d)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1.575 + -0.195. Let u = n - 1.78. Which is the nearest to -3?  (a) 0.4  (b) -2  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -161322 or -161147?\nAnswer: -161147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 773184132 and 98.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yyll when four letters picked without replacement from {m: 3, l: 8, y: 5}.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -57, 1 in descending order.\nAnswer: 1, -2, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is r in -r**2 + 424*r - 3735 = 0?\nAnswer: 9, 415","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1617)*-5)\/(2*sqrt(108)) + ((sqrt(176) - (sqrt(176) + -1))**2 + sqrt(176) - (sqrt(99) + 4)) + -3.\nAnswer: -23*sqrt(11)\/12 - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 0.1, 2\/11, -2 in increasing order.\nAnswer: -2, -1, 0.1, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3 + 3. Determine r, given that m*r + 2*r**2 - 2 - 4*r + 2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 5697 + -5633. What is the smallest common multiple of a and 180?\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 200185.\nAnswer: 5, 40037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -205*s - 24 + 38 = -212*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -571*i**3 - 33 - 30 - 31 - 44 + 138.\nAnswer: -571*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -o**3 - 13*o**2 - 16*o - 44. Determine g(-12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 187 and 1965625?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express s**4 - 6 - 92097*s + s**2 - s**3 + 2*s**3 + 92252*s in the form l*s**2 + n*s**3 + b*s**4 + y*s + c and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.22820318 at least 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) be the third derivative of c**5\/8 + 13*c**3\/3 - 7*c**2. Let y(m) be the first derivative of j(m). Let x(r) = r**2. Give y(x(u)).\nAnswer: 15*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-one fifths of a millimeter in micrometers?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vf when two letters picked without replacement from fvvvvfffffvvfvff?\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) be the first derivative of -l**3\/3 + 4*l**2 + 1. Let y be r(8). Solve y*k = -k + 4 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u - 10 = 5*z, -4*u - z + 3 - 5 = 0. Suppose 2 = -2*o + 2*b, 4*b - 4 = -u*o - 2*o. Solve o = -d + 4 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -802 - 35c?\nAnswer: -b5e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 24\/3 - (-6)\/(-3). Let d(s) = -s**3 + 6*s**2 + 2. Let k be d(w). Suppose k - 22 = -4*j. Solve 0*i + j*i - 20 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -3\/5  (b) -5  (c) -8\/19  (d) -179\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find l such that -2*l**2\/3 + 82*l\/3 - 728\/3 = 0.\nAnswer: 13, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19 = -2*p + 5*a, -2*a = -3 + 1. Suppose 0 = -4*r - r + 20. Let s(k) = 8*k. What is the remainder when s(r) is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -149*p = -154*p - 15 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = s**3 - 8*s**2 - 48*s + 5. Let a be q(12). Sort 4, 0, a, -1, -17.\nAnswer: -17, -1, 0, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -295*z + 2. Is h(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 33829717*i**2 + 21681378 wrt i.\nAnswer: 67659434*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -s**3 + 39*s**2 - 140*s + 5. Calculate l(35).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -5 + 3 + 1 - q**2. Let c(x) = -117*x + 4*x**2 + 6 + 117*x. Determine c(k) + 6*o(k).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 549 minutes after 3:16 AM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 70028 is divided by 13096.\nAnswer: 4548","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b\/b**0)**1\/((b*b**(-5)*b)\/b**(-1\/2)))\/((b**(-4\/9)*b)\/b**3)**(-36) assuming b is positive.\nAnswer: b**(-169\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = 34*d - 30*d + 3*p, -2*d - 2*p = -4. Solve -2 = -4*o - 2*k - 0*k, 0 = d*o + k - 10 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ea when two letters picked without replacement from {i: 3, e: 2, p: 1, a: 4}.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bbb when three letters picked without replacement from bbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1091 + 224785 = 3*k + 5*a, -4*k - 3*a = -298255. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2222891?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 98.71226ml to litres.\nAnswer: 0.09871226","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -21222100 (base 5) to base 11\nAnswer: -112a79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = 9*k. Let f(h) = h**2 + 4*h**2 - 9*h**2. Calculate d(f(s)).\nAnswer: -36*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a - 2*z + 74008 = 0, -2*a - 74230 + 242 = 3*z. What is a rounded to the nearest one thousand?\nAnswer: -37000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-62)\/(-713)*55\/(-6) and (459\/90)\/(2 + 46\/(-14))?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -621*s + 177*s - 3*s + s + s - 4*s + (-3 + 2 + 2)*(-2 + 2 + 2*s) - 3 + 3 + s - 2*s + 0 + 0 - s + s + 2*s + 10*s - 8*s + 23*s.\nAnswer: -421*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*n = 4*n + 6. Suppose 5*v + 13 = -n. Which is smaller: -4 or v?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -50 (base 16) to base 15.\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d\/d**2)\/d)\/((d**(-6)\/d)\/d)*d\/(d\/d**8)*d**(2\/21) assuming d is positive.\nAnswer: d**(296\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -787*u + 790*u - 4449. List the prime factors of u.\nAnswer: 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ekykekkkeykeyekkeeye. Give prob of sequence kyey.\nAnswer: 32\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -79 + 133. Let j(y) = 13*y - 21. Let p be j(12). Calculate the highest common divisor of p and b.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -95 + (9 - (-24 + -5))?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3921876.\nAnswer: 2, 3, 7, 79, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 61 = 5*t - 219. What is the common denominator of 17\/8 and (-1)\/t*12192\/(-72)?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -153653719 less than or equal to -153653723?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**1\/s)**11\/(((s\/((s\/(s**3\/s))\/s))\/s)\/((s*s**(1\/3))\/s)) assuming s is positive.\nAnswer: s**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 22928?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -74 + 80. Suppose -x*n + 5*n = -91. Is 13 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -89\/5564660 and -113\/23371572.\nAnswer: 116857860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sum -952640 and 527110.\nAnswer: -425530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 12, y: 3}. Give prob of sequence yym.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express (469*d**2 - 447*d**2 + 117*d - 98*d)*(0 + 1 + 2) as u + l*d**2 + z*d and give z.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -v**3 - v**2 + 2*v - 62. Calculate m(0).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 108 and 16.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1d328d (base 15) to base 8.\nAnswer: 5345360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v\/v**3*v**(19\/5) assuming v is positive.\nAnswer: v**(9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4840)\/(-792)*(-288)\/32?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -67\/158360 and 7\/42920.\nAnswer: 4592440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(sqrt(78) + 1*sqrt(78)))\/(sqrt(864)\/sqrt(9)) + -6*(sqrt(156)\/(sqrt(24)\/sqrt(2)) + -1*sqrt(13)*6)**2.\nAnswer: -1950 - sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**0)**(-7\/4)\/(b**(-5)\/(b*b**(-3\/13))) assuming b is positive.\nAnswer: b**(75\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.149 and 41511.\nAnswer: -6185.139","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -701*u + 447*u + 3302 = 0 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = z**2 + 8*z - 20. Let o be r(-10). Determine s so that 0 - 1\/4*s**3 + o*s**2 + 1\/4*s = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 8 - 8.1. Let w = 1.1 + o. Let z = 5 + -3. What is the closest to -0.1 in z, -4\/5, w?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*sqrt(228)*-4)\/sqrt(12).\nAnswer: -20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 81711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 62, 43, 8, -49, -134, -253?\nAnswer: -412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1238350 rounded to the nearest 100000?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(-2 + (sqrt(204) - (sqrt(204) + sqrt(204)*-2 + sqrt(204) + sqrt(204))*3)\/sqrt(12)).\nAnswer: 8 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*t*t\/(t\/t**(-3)))\/(t*t**(-2\/51)\/t*t*t)*t\/(t\/(t*t**(2\/21)))*(t\/(t*t\/(t*t\/(t\/t**(-13)))*t))\/t assuming t is positive.\nAnswer: t**(-2007\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 8, l: 8, o: 1}. What is prob of sequence lg?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s = 154 - 157, -5*h = -s + 22. Sort h, 3, -4, 44.\nAnswer: h, -4, 3, 44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -2, -15, 10 in descending order.\nAnswer: 10, -2, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -251, -255, -259?\n\"Answer: -4*i - 247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 122\/(-2501) + (-199)\/123.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 12 or -29625\/23?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) be the second derivative of -d**3\/3 - 5*d**2 - 442*d. Let g be (1 - 0)\/(4\/(-32)). Calculate o(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.074422987 + 1467955.\nAnswer: 1467955.074422987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*m - 3*k + 17 = 0, 403*m - 524*k + 10 = 406*m - 522*k - 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = 7323*x**2 + 18*x + 1136. Let t(f) = -43938*f**2 - 117*f - 6815. Let n(z) = 13*o(z) + 2*t(z). What is the first derivative of n(a) wrt a?\nAnswer: 14646*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 33253 is divided by 4155.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -33121702 (base 8) to base 4\nAnswer: -123022033002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -6202.482536 rounded to the nearest one hundred?\nAnswer: -6200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 62857 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -95 - -167. Suppose -18 = -5*z + j. Suppose 0 = -2*s + 3*s - 3*u - 61, s - 64 = 2*u. What is the remainder when s is divided by z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 23\/577224 and 31\/224476?\nAnswer: 4040568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00008000016 rounded to five decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = 350*h - 2051. Let g be w(6). Solve g*m = 63*m + 112 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -274907, -549814, -824721, -1099628?\n\"Answer: -274907*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 308*o + 1. Let l(q) = -618*q - 2. What is 5*j(n) + 3*l(n)?\nAnswer: -314*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -2 + (-23 + -1)\/(-3). Let s be p\/(54\/105) - 2\/(-6). Suppose -16*v = -2*m - 12*v + 16, 2*v = -4*m - 8. Solve m = -3*t + s - 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11862.\nAnswer: 2, 3, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -4394731865 + -1.52\nAnswer: -4394731866.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3981.\nAnswer: 3, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 1276 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 16 in 2\/313, -0.04, 0.23?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-3)\/x)**(1\/8) assuming x is positive.\nAnswer: 1\/sqrt(x)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 67\/1274112 and 115\/2002176?\nAnswer: 14015232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 + 2 + 4 - 5 + 3*a.\nAnswer: 3*a + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/69577 or 1?\nAnswer: -1\/69577","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 39\/5 - 6\/(-30). Suppose -4*v - 810 = -a*v - 5*h, -1035 = -5*v + 5*h. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-784)\/(-294) + -2)\/(2\/4)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.34 <= 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in seventeen halves of a milligram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 6*m + 1038*m**2 + 2*m**4 + 5*m - 5*m**4 - 1039*m**2 - 1 in the form k*m**4 + h*m**2 + q + w*m**3 + v*m and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -63  (b) -1  (c) 1\/8  (d) -2  (e) 0.3  (f) 6\/875\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -94 - -1788\/19. Which is the nearest to -0.1?  (a) 2\/3  (b) j  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -234, -141, -52, 33, 114, 191, 264?\nAnswer: 333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = 5*g - 2. Let n = -1 - 1. Let o be u(n). What is o rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19*z + 10*z + 1 + 18*z.\nAnswer: 9*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zzzzzzzzzz. What is prob of sequence zzzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:48 AM and 2:22 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*k = 4*k - 322 - 11548. Does 53 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15823 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2.8 + -2.7999994. What is d rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - 76 = -3*g, -4*n - g = -3*n - 40. Let o = 45 - n. What is the tens digit of o - (-1 - (83 - -1))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 89\/8262696 and -21\/710?\nAnswer: 41313480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*i - 21 = 78. Suppose -3*r + 5*a - 74 = 0, -r - a - i = 5. Which is greater: r or -19?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 224\/(-1456) - (0 - 28\/13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = 5*h - 9. Calculate the remainder when z(7) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 3*a**3 - 145*a**2 + 52*a - 193. Let p be i(48). Which is greater: -158 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 7 - -29. Let a be 21\/s*-2*(-4)\/7. What is the closest to a in -0.5, -0.1, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s + 36553972 - 3005984 = -4*p, 0 = -3*s + 2*p - 25161006. What is s rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 - (5 + -5) - 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:10 PM and 3:40 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -102, -207, -312, -417, -522, -627?\nAnswer: -732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 63 and 260351?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-38 - 29 - 22)*(364*y - 39*y**2 - 364*y).\nAnswer: 3471*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 (base 13) in base 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -132.3811 to the nearest integer.\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = 17*a**3 + 2*a - 18. Let g(y) be the second derivative of 2*y**5\/5 + y**3\/6 - 9*y**2\/2 - 27*y - 7. What is -13*g(c) + 6*u(c)?\nAnswer: -2*c**3 - c + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - x - 38 - 126 = 0, -5*x = -r + 64. Calculate the lowest common multiple of 639 and r.\nAnswer: 3834","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = 1550*h**2 + 105*h + 688. Is j(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 146 or -3?\nAnswer: 146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 7*j - 5. Let q(m) = -2*m**2 + 15*m + 11. Let i be q(8). Let u be (-8)\/6*(-1 - i\/6). Let a(v) = -u*v + 2*v + 1 + 0 - v. What is 6*a(h) + b(h)?\nAnswer: h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 39*-5.\nAnswer: -195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 62926088 and 15880?\nAnswer: 3176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -470*y**2 - 12*y**3 + 10*y**3 + 56*y - 56*y.\nAnswer: -2*y**3 - 470*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0001231223 to 6 decimal places.\nAnswer: -0.000123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 443.1 to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(35) + (sqrt(210)*2)\/sqrt(6))\/(sqrt(225)\/sqrt(5)) - ((((1*sqrt(77) - sqrt(77)) + sqrt(77) - sqrt(77))*6)\/(sqrt(275)*-3))**2)*2.\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 681 a factor of 7122512?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -x**3 - 50*x**2 - 104*x - 373. Let h be b(-48). Sort h, -5, 0, -8 in descending order.\nAnswer: h, 0, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -2*r + 1. Let n be t(-3). Suppose -3*s = -s - q - n, 2*s - 2*q - 12 = 0. Suppose 4 = -z - 2*f, -2*z + 21 - s = -3*f. Solve -m = z*m - 15 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -1, 2, 4, -4 in increasing order.\nAnswer: -4, -1, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -325 + 643. Suppose c*h**3 - 41*h**2 - 314*h**3 - 4*h + 28 + 13*h**2 = 0. Calculate h.\nAnswer: -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -5*h + 0*h + 0*h - h**2 - h. Let s be b(-6). Let -6\/7*o**3 + 10\/7*o**2 + 4\/7*o + s = 0. What is o?\nAnswer: -1\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 334104?\nAnswer: 2, 3, 13921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*o**3 - 698*o + 698*o.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -13868 - -166303\/12. What is the common denominator of 77\/20 and z?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-p + p - 3*p)*(-3*p**4 + 4*p**4 - 3*p**4 + (2*p + 6*p - 3*p)*(p**3 - 3*p**3 + 3*p**3)).\nAnswer: -9*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a = -6*a - 2360. What is the tens digit of (-4)\/18 - a\/45?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -4995  (b) -7\/4  (c) -0.07  (d) -4  (e) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10197 is divided by 340?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 348 - 259 - (15 - (-6 - (-7 - -2) - -4)).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 1 = -5. Let s be 18\/8 - 1\/4. Suppose -w*k + 72 = -s*k. Solve -5*f - 27 = 4*x, x + 4*x = -f - k for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 32761.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 1\/2  (b) -4  (c) 5  (d) -0.2  (e) -6\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) be the second derivative of q**5\/24 + 5*q**4\/9 - 20*q**3\/9 - 160*q**2\/3 - 2165*q. Factor g(y).\nAnswer: 5*(y - 4)*(y + 4)*(y + 8)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((1278\/(-7242))\/(1\/3))\/((9\/6)\/(-1)).\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 + 6 - 20)*(155 - 300 + 394*t**2 + 148).\nAnswer: -3152*t**2 - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = r**3 + r**2 + 3*r + 10. Give w(-5).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) be the second derivative of m**5\/5 - 5*m**4 + 94*m**3\/3 - 66*m**2 - 73*m + 29. Solve g(d) = 0 for d.\nAnswer: 1, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2599117\/26 smaller than 99965?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*h - 8, -5*k + 4 = -k - 2*h. Sort -4, k, -2, -7.\nAnswer: -7, -4, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 25739, 24802, 23865, 22928, 21991?\n\"Answer: -937*y + 26676","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = q - 4967. Let h(v) = 7*v. What is k(h(l))?\nAnswer: 7*l - 4967","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 4866265 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -27282103 * -3\nAnswer: 81846309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1177964 is divided by 552?\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3 * 17246.\nAnswer: 51738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Total of 25772 and -0.14.\nAnswer: 25771.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Product of 3 and -19.5.\nAnswer: -58.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a and 3 y when four letters picked without replacement from yayyaa?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1117343*b**3*m**3*t**2 + 4*b**3*m**3*t + 4*b**3*m**2*t + b**3*t**2 + 279732*b**2*m*t**2 wrt m?\nAnswer: -6704058*b**3*t**2 + 24*b**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (q**4 + 0*q**4 - 2*q**4)*(276*q - 277*q - 236 + 89).\nAnswer: q**5 + 147*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -4*v**2 + 3*v - 5. Let d = 87 - 91. Let a(x) = -3*x**2 + 4*x - 5. Let p(g) = d*z(g) + 6*a(g). Factor p(c).\nAnswer: -2*(c - 5)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -l**2 - 6*l - 12. Determine q(-9).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (1\/3)\/((-3)\/9). Let w = -15 + 9. Let n = w + 1. Put n, 1, r in ascending order.\nAnswer: n, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = 2*k**3 + 36*k**2 - 87*k - 944. Calculate f(-19).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.504 * -63.\nAnswer: -31.752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14 - 26 - (-2 - 2) - 0.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 35496 or 35498?\nAnswer: 35496","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -j - 37. Determine l(-17).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*c**3 - 61332*c**2 + 237987084*c - 22058681180 = 0.\nAnswer: 95, 7619","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*t + 127*j - 121*j = -33, -5*j = -5*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 91 - 54. Let h = l - 27. Suppose -15*s + h*s + 100 = 0. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 14 in -5, -5\/6, 3\/5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) be the third derivative of -1\/24*q**4 + 0 - 34*q**2 + 3\/2*q**3 + 0*q. Let a(r) = r. Determine c(a(w)).\nAnswer: -w + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -4 + 6. Suppose 0 = 5*j + n*v + 6, -5*j = -j - 2*v - 6. Solve j = 3*l - 8 - 7 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4.2 + 9.2. What is the nearest to -2 in 0, j, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -6*b**2 + 2090*b + 19273. Determine s(-9).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3486*x**4 - 116*x + 139 wrt x?\nAnswer: 41832*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 31824323 - 31824336.6999886. Let v = 250.7 + -237. Let g = v + f. Round g to six decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.68 and 4759.1931.\nAnswer: 4759.8731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) be the first derivative of 8*l**3\/3 - l**2\/2 - 1. Let p(w) = -w**2 - 4*w + 1. Let k be p(-4). Calculate c(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 4719*d - 165166. Calculate j(35).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -400754 - 387.453.\nAnswer: -401141.453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.05592, 5430, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 3 + 2340043?\nAnswer: 2340101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1024 + 1025. Let b(z) = -42*z - 1. What is b(c)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 12283?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 14, 6, 3, 12, -21, 289, -1 in increasing order.\nAnswer: -21, -1, 3, 6, 12, 14, 289","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*j = -3*j - 3490 - 318. Calculate the remainder when j is divided by 130.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*(h\/(h*h**(-21)\/h))\/h)\/h**(-2\/21)*h**(-28)\/((((h\/(h**(1\/23)\/h))\/h*h)\/h)\/h) assuming h is positive.\nAnswer: h**(-2831\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 24 times -2718\nAnswer: -65232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 7*g*n**2*w**3 + g*n**2*w**2 - 63*g*n**2*w - 863214*g*w**3 + 13834 wrt w.\nAnswer: 42*g*n**2 - 5179284*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) be the third derivative of -353*z**5\/10 + 293*z**4\/6 + 2*z**2 - 16. Find the second derivative of u(c) wrt c.\nAnswer: -4236","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -5*u**3 - 3*u**2 - 7*u - 20. Let v be 5*((-21)\/(-5) + -5). What is the units digit of c(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z - 2*i = 23678 - 5994, 0 = 4*z + i - 14142. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-4)\/(-18) - 80\/36. Let s(w) = -2*w**3 - 5*w**2 - 4*w + 6. Let j be s(h). Calculate the highest common divisor of 1 and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 372*o - 6696. Let s be q(18). Let m = -4 + 1. Suppose -n = -3*x + 3 + 12, x = 5*n - 9. Sort s, 2, m, x in increasing order.\nAnswer: m, s, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 3, 10, 0, -760 in decreasing order.\nAnswer: 10, 3, 0, -5, -760","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 15303 + -15304.1253. What is r rounded to one decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -14, -3, 5, -1 in increasing order.\nAnswer: -14, -3, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 3*b + 11 = -4, -b + 5 = n. Suppose 2*c - 48 + 40 = n. Solve -4*d - c*u + 16 = -0*d, -u = -d + 6 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 46350122 and 364?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 133764482*p**2 + 22045134 wrt p.\nAnswer: 267528964*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = m**3 + 62*m**2 - 124*m + 257. Give w(-64).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 15, -49, -115, -183, -253, -325, -399?\n\"Answer: -q**2 - 61*q + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-4)\/((-12)\/15) + 3. Calculate the highest common divisor of p and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 59 less than -163458079?\nAnswer: -163458138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*r - 2 = -86*j + 81*j, 0 = -5*j + 71*r - 71 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r - 19 - 7 = -k, 0 = 3*k + 2*r - 22. Solve -4*c + 2*s = -2, 5*c + s - 30 = -k for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -325138640*d*i - d - 1509389450*i wrt d?\nAnswer: -325138640*i - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 96 divide 25056576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a - 12 - 11 = -5*j, -2*j = -5*a - 5. Let v be -5 + (j + 5)\/2. Factor -1\/6*w**4 + 0*w**2 + 0 - 1\/6*w**3 + v*w.\nAnswer: -w**3*(w + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3 (base 12) to base 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 6 + t - 1)*(126 - 437 - 149).\nAnswer: -460*t - 1840","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 28*c - 454. What is s(16)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(-3*sqrt(68) + -2*sqrt(17)*-5)**2 - ((5*sqrt(170)*2)\/(1*sqrt(90) - sqrt(90) - sqrt(90)))**2.\nAnswer: -13940\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -18, -16, -12, -6, 2, 12, 24?\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) be the third derivative of -l**8\/20160 - l**5\/20 + 3*l**2. Let m(b) be the third derivative of c(b). Factor m(h).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 129 and 559.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 2*v - 8. Let u be o(10). Suppose -3*r - u = -6*r. Suppose -5*g + 2*j = -136, r*g = -3*j + 143 - 48. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1470763*f*o**2 - 222262*f wrt o.\nAnswer: -2941526*f*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 101 (base 3) to base 11\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 5. Let n(t) = -t + 9. What is 4*n(a) - 9*v(a)?\nAnswer: -4*a - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 11*c**3 + 3*c**2 + 3*c - 3. Let i = 5122 + -5110. Let n(d) = -d**3 - d**2 - d + 1. Calculate i*n(y) + 4*p(y).\nAnswer: 32*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*w = 2*q, 21567*w = 21571*w - 3*q - 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = q**3 + 5*q**2 + 2. Calculate r(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.03?  (a) -0.0011  (b) 2  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 4*y**2 - y - 1. Let x be q(-1). Let j be (0 - (0 - 0))\/(x + -3). Suppose -3*t + 4*c - 136 = -7*t, 2*t + 5*c - 74 = j. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 73489 is divided by 2927?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -152, -331, -622, -1019, -1516, -2107, -2786, -3547?\n\"Answer: s**3 - 62*s**2 - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 19, 17, 0, -2 in increasing order.\nAnswer: -2, 0, 17, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or -11\/88006558?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 414.738947 to 0 decimal places.\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((495\/54)\/(-11))\/(-4)*140\/(-7)?\nAnswer: -25\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 3*l = 18. Is (-3 - 0)*48\/l a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 616394520 to the power of 1\/6, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 201, 197, 193, 189, 185, 181?\n\"Answer: -4*t + 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -8cb3a7 (base 15) in base 9?\nAnswer: -13572654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 8, l: 2, e: 2}. What is prob of picking 1 x and 1 e?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 306 divide 6578604036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.71 - -0.41. Sort d, 3\/4, -0.01 in descending order.\nAnswer: 3\/4, -0.01, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2.8 + 0.2. Let g = 11 - 10. What is the nearest to d in 1\/3, -2\/17, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + 20 = 4*y - 2*f, -5*f - 38 = -3*y. Suppose a = -3*l + y, -l + 3*l + 5*a - 4 = 0. Suppose 5*u - 11 = 9. Put u, l, 1 in decreasing order.\nAnswer: u, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-6)\/(-15) - 11606\/(-35). What is the third smallest value in -1, -3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*c**2 - 169 + 36*c - 15*c - 117 - 21*c to the form d*c + w*c**2 + r and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 47 + -51. Let t = 2 - 3. Put h, t, 4 in ascending order.\nAnswer: h, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.108, 1\/5, -4\/3, -76.\nAnswer: -76, -4\/3, -0.108, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -295 + 328. Suppose -f = 0, f = -5*i + q + 7. Solve 0 = 4*l + i, 0*u - 3 = -u + l for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 27\/18*-4*(-5)\/3. What is the third biggest value in -3, -0.3, 0, q?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*s**2 + 3494 - 3494.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((g**(-1\/3)*g)\/g)\/g)\/g*g**(-1))**(-1\/3)*((g**(-1\/3))**(-22))**44 assuming g is positive.\nAnswer: g**(2914\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 1779249473 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 - (5 - 2)) + 0 + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 944950183 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w = -3*v - 24, 5*v - 20 = -5*w - 180. Find the common denominator of (12\/27)\/(2\/60) and (1 + -27)*(-21)\/w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:39 AM and 2:18 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h + 2 = 3*h - 2*c, -5*c - 5 = 0. Let q be 35\/3 - (-5)\/15. Let g(r) = -2*r + 11 - q + 3*r. Give g(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 79, 1, -5, -3, -10 in descending order.\nAnswer: 79, 1, -3, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 not equal to -2\/12711?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 1476188*5\nAnswer: 7380940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + 2 + sqrt(1053) + 3)**2.\nAnswer: 90*sqrt(13) + 1078","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 3, g: 1, j: 1, d: 1, b: 5, p: 2}. Give prob of sequence pgj.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -2\/569, 0.4937 in descending order.\nAnswer: 2, 0.4937, -2\/569","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + sqrt(300)*3 + sqrt(300) + -2)**2 + (sqrt(36)\/sqrt(6) + sqrt(6))\/sqrt(2) + -3 + sqrt(3) + sqrt(12).\nAnswer: -555*sqrt(3) + 4846","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f**2 - 26*f + 60 = 0. What is f?\nAnswer: 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*b - 39069 = 38853. Is 35 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -46*m + 11790 = 347*m for m.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 13*(-8)\/(-624)*24.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 204 = 5*s + 5*d - 86, -2*d = 6. Let u = -742 + 763. Calculate the remainder when s is divided by u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -24 divided by 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c**(2\/7)\/c)**(-1))**(-5\/2))**43 assuming c is positive.\nAnswer: c**(-1075\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 153 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 - -1 - (52 + -68 + 2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1, -0.5, 0.5, 1\/5, 43?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-14)\/(-245)*470\/(-47).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -15*s**2 + 9*s + 15. Let v(m) = -2*m - 21. Let u be v(-6). Let w(i) = 7*i**2 - 4*i - 8. Let q(c) = u*w(c) - 4*k(c). Suppose q(f) = 0. What is f?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 136 + 301. Suppose j = 2*m - 3*n, -793 = -3*m + 2*n - 130. Does 4 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3.3 - 3.254. Let c = -0.05 + j. Round c to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -4*r**2 - 4*r - 1. Suppose 8 = 4*m - 0*m. Let x(a) = -a**3 + a**2 - a + 3. Let o be x(0). Let v(n) = 3*n**2 + 3*n + 1. Determine m*z(g) + o*v(g).\nAnswer: g**2 + g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: ((-6)\/(-9))\/(-8*7\/(-294))\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35*k - 48*k = -1950. What is the highest common divisor of 60 and k?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 155\/(-4)*(-5 + 1 + 8). Let b = 161 + x. Calculate the greatest common divisor of 32 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -5232 or -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2168233 to the nearest integer?\nAnswer: 1472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 4025473092?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 236 minutes before 10:47 AM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 46568703.\nAnswer: 3, 15522901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -203031 - -2?\nAnswer: -203024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3\/((-150)\/(-40))*70\/336.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*z = 22*r - 24*r + 4, -2*z + 8 = -r + 22 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k = -5*f + 20, -17*k - 8 = -f - 15*k. Solve f = -4*v - 9 + 13 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = 7*q**2 + 178*q + 199. What are the prime factors of s(-42)?\nAnswer: 11, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 13*h - 19*h + 6*h**3 + 8*h wrt h?\nAnswer: 36*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.3 + 0.2. Let r = -2 - -3. Let o = 7 + -2. What is the closest to r in 4, o, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25 = 5*n + 5*s, 5*n + 0*s = 3*s + 17. Let t(h) = -4*h + 3*h - 10 + 1 + h**2. Let z be t(n). Solve 5*u - 10 = 0, 0*v + 9 = 3*v + z*u for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -q**2 - 191*q - 2000. What is the remainder when g(-13) is divided by 22?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-m**3 - 2*m**3 + 0*m**3)*(-7*m - 20*m - 25*m).\nAnswer: 156*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) be the first derivative of -2*y**3 + 63*y**2\/10 - 6*y\/5 - 58. Determine s so that o(s) = 0.\nAnswer: 1\/10, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4 + -2.2552491.\nAnswer: 1.7447509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 206 - 398 + 198 - 3*m.\nAnswer: -3*m + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence um when two letters picked without replacement from ymimmyeuueeuyuuu.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 697 minutes before 6:14 PM?\nAnswer: 6:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -240*y + 4192. Calculate v(23).\nAnswer: -1328","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Determine l, given that -2*l**2 - 92*l + 3744 = 0.\nAnswer: -72, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide -140301 by 88.\nAnswer: -140301\/88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) be the first derivative of -x**3\/3 - 3*x**2\/2 + 4*x - 2. Let i be g(-3). Let j(l) = 10*l - 1. Is j(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -144 - 38. Let q = 211.2 + s. Let d = q + -29. Put 2\/11, d, 5 in descending order.\nAnswer: 5, d, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 69106297 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1 - 9. Let b = -9.9888 - r. What is b rounded to three dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -17 - -23 - (-1 + 2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -3\/4  (b) -5  (c) 15461\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-w - 4*w + 3*w)*(-4 - 3 + 6 - 3 + 3 - 2 + (-2 + 0 + 1)*(0 - 2 + 4) + 8 - 18 + 6) to the form r + a*w and give a.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1244433143 + 2?\nAnswer: -1244433141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.06464 + 4.93536. Let i = 25\/114 + -1\/19. What is the fourth biggest value in 7, i, d, 0.2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -42205 + -15544?\nAnswer: -102153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -3 + j**3 + 10 - 3 - 1 - 7*j**2 + 6*j. What is q(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*v + 18, 366*a + 4*v + 27222 = 26832 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i = 2*i - 15. Let j(f) = 2*f**2. Let r be j(1). Suppose -4 = -r*u + u. Solve 8 = n - i*a, a = -u*n + 3*a + 12 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -h - 2. Let m be z(-7). What is the second derivative of 10*b + 7*b + 6*b**m - 6*b wrt b?\nAnswer: 120*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 89241966227 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/3, -0.2, 3\/7, 1.3 in descending order.\nAnswer: 1.3, 3\/7, -0.2, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.09 + -2.7?\nAnswer: -2.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (0 + 11\/11)\/((-8)\/(720\/(-2)))\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -1 + (40 + 1)*-1. Let x(m) = 2*m**2 - 12*m + 7. Let d be x(6). Is (6\/d)\/((-3)\/i) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 555986?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*v + 3*v - 2*v + (992 - 992 + 13*v)*(4 + 1 - 2).\nAnswer: 37*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = 378*n**2 + 55*n - 456. Is q(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = k**3 + 11*k**2 - 9*k + 6. Give w(-12).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d - 818 = 5*h, -4*h - 546 = 4*d - 6*d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4820575.4 + -327.\nAnswer: 4820248.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 4, 5, 13, 1, -0.157?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 1 + 5)*(-q**4 + 30*q - 30*q) + 0*q**4 - q**4 - q**4 + (3*q**3 - q**3 - q**3)*(3*q - 2*q - 2*q).\nAnswer: -6*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12307 - a**3 - 12297 + 24604.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: ((6\/(-8))\/(847\/7260))\/(4\/(-14))\nAnswer: 45\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -528419 + 1056842 + 340*f - 528408 to m*f + w and give w.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1534?\nAnswer: 2, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 22 and 1722?\nAnswer: 18942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - 4*o = -8, 2*p - 7*p - 10 = -5*o. Let m = -1 - -0.8. Suppose k = -k + 2. Which is the nearest to k?  (a) -2\/9  (b) m  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 42 = k - 21. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine t so that -3*t**4 + 855*t**3 + 12774*t**2 - 64584*t = 0.\nAnswer: -18, 0, 4, 299","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000190707 to 6 decimal places.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -460 divided by -5?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -5*b**2. Let s(z) = -14*z. Give y(s(c)).\nAnswer: -980*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -10580744, -42322978, -95226702, -169291916, -264518620?\n\"Answer: -10580745*q**2 + q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u**2\/2 - 378575*u\/2 + 7193647 = 0. What is u?\nAnswer: -378613, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-21)\/(-1152)*3624 + 2\/(-32).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-8 - -2)\/(-24) + 7\/(-60). Suppose -m*j + 0 + 2\/15*j**2 = 0. What is j?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 524247752 and 1442.\nAnswer: 1442","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -1365*x + 47631 + 4239 for x.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -15171 (base 8) in base 16?\nAnswer: -1a79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -5*k**5 + 42*k**4 + 0*k**2 - 261*k - k**2 + 0*k**5 + 13*k**4 + 6*k**5 wrt k.\nAnswer: 60*k**2 + 1320*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -12*a - 68. What is the lowest common multiple of t(-6) and 9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + 2 + -4 - (3 + -7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1\/4 - 7\/(-4). Let q = 3 + n. Factor 2*t + 6*t**q - 3*t**5 + 0*t**5 + t - 6*t**3.\nAnswer: 3*t*(t - 1)**2*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -746, 3, 2\/7, -5\/27.\nAnswer: -746, -5\/27, 2\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 93331?\nAnswer: 7, 67, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -254 - -273. Let c(v) = -v**3 - 7*v**2 - 3*v - 3. Let p be c(-7). Is h less than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 n and 1 x when three letters picked without replacement from ctchntxtttntntttdttt?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*k - 11 = 13*k + 19 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = y**3 + 6*y**2 + 5*y. Let w(o) = o**3 + o**2 + o. Let f(a) = b(a) - 2*w(a). Let d be f(4). Which is greater: d or 9?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -66.6 + 66.4. Which is the closest to 4?  (a) f  (b) -2\/5  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 3*7\/(21\/102). Let x = p - 504\/5. Solve 2\/5*l**5 - 6\/5*l**4 + 0 + 0*l + x*l**3 - 2\/5*l**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + m + 3*y = 573, 575 = 3*m + 5*y. Suppose 3*v + 64 = m. Is 22 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 11 + -7. Let p be (6\/8)\/((-1)\/(-4)). Suppose 5*y - p*y = -4*v - 16, -u*y - 5*v = 17. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (15\/(-9) - -1) + 11\/3. Let u be ((-26)\/10 + s)\/(4\/5240). Suppose 9*l + 173 = u. What is the remainder when 115 is divided by l?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1*((-35)\/20)\/(-7).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 6, r: 3, m: 1, p: 3}. Give prob of picking 1 r and 2 p.\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -569, -3671, -6773?\nAnswer: -9875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 67\/4 of a microgram in nanograms?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -1271\/370 < -41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 73200482 to the nearest integer?\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*x - 83*x = 51*x - 2556 for x.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lql when three letters picked without replacement from {q: 7, l: 12}.\nAnswer: 154\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*a = 8*a - 4*c - 1011, 2*c = 2*a - 1980. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = 11*h**2 - 3. Let g be y(-2). Let a = 63 - g. Suppose 3*d - a = 17. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 6*c**2 + 4*c - 5. Let y be a(1). Suppose -y = 2*z - 49. Solve 0 = -4*h + 3*f - 27, 2*f = h + 7*f - z for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q = -0*q + 3. Suppose -u - 2*g = 2*g + 88, q*u + 315 = 5*g. Let o = 213 + u. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (2\/(-6))\/(36\/72)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - 2575 = -7*k + 3*k, -5*k + 3203 = -4*s. Suppose 5*i + 3*c = 5*c + k, 3*i - 361 = -5*c. What are the prime factors of i?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + 1*(-1 + 2*(((sqrt(68) + 2)*-2)**2 + ((sqrt(187) - -1*sqrt(187) - sqrt(187))\/sqrt(11) - sqrt(17) - (sqrt(2057)*-2 - sqrt(17))**2))).\nAnswer: -17413 + 64*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3569?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1 - 3. Let v be (-10)\/10*(-7 - s). Let o = 6 - v. Solve 17 = -4*h + o for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-b + 0*b + 3*b)*(-2*b**2 - 4*b**2 + 3*b**2) + (-12*b + 19*b - 11*b)*(16*b**2 - b**2 + 0*b**2) as u*b**2 + r*b**3 + j*b + q and give r.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 153 + -181. Let r = 68 - -1. Let s = r - d. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*b - 4*b + 268503 + 208336 = 0. List the prime factors of b.\nAnswer: 67, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*m + 7*m**2 + 2*m)*(0*m + m + 4*m) + (-4*m**2 + 2*m**2 + 3*m**2)*(-9*m + 2*m + m).\nAnswer: 29*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (15\/300*4)\/((-2)\/2)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -6 - -54. Suppose -3*p = -3*d + 66, 0*p = d - 3*p - 18. What is the highest common factor of d and z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -12.7 + -4.3. Let q = -18 - b. Which is greater: -13 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-15)\/(-60) - 11\/(-4). Let q(y) be the first derivative of 2\/9*y + 7 + 0*y**2 - 2\/27*y**h. Factor q(c).\nAnswer: -2*(c - 1)*(c + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34*i = 36*i + 12. Let p be 3*((-56)\/i + -5). Calculate the highest common divisor of p and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 27307485 to the nearest integer?\nAnswer: 5226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wwxnr. Give prob of sequence xww.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 49 divide 10076?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2606*x + 72345 = -539*x for x.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3440 - -3443. Put -1\/5, -0.438, g, -1\/4 in decreasing order.\nAnswer: g, -1\/5, -1\/4, -0.438","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*g**3 + 20180*g**2 + 20341425*g - 40763610.\nAnswer: 5*(g - 2)*(g + 2019)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.181 - -0.191. Put -20, r, -0.4 in decreasing order.\nAnswer: r, -0.4, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*x + x - 2*x + 6*x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 1489 times 5563?\nAnswer: 8283307","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 93833867 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 5, c: 2}. Give prob of picking 1 w and 1 c.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-199645)\/60)\/(4\/32)*6\/(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1164130520?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*w**2 - w**2 + 7*w**2 + 4*w + 5*w**2 to j*w**2 + l + n*w and give j.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*p + 3*p + 4*p)*(0 - 5 + 1)*(-5 + 3 - 1).\nAnswer: 24*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 88111217 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -139*n + 965*n + 826 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 3622218 take away -20761941?\nAnswer: 24384159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-8)\/70)\/(4\/(-10)). Let j = -8.07 - -8.57. Which is the closest to t?  (a) -2  (b) j  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -4 - (804\/(-160) + 1). Sort 1\/3, 0.4, w, -1.\nAnswer: -1, w, 1\/3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-1)\/((0 - -2)\/4) + -128. Let v = 127 + u. Let d be (3\/5)\/(v\/45*-3). Solve 4*g = d*g + 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15633 less than 1141145\/73?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*o - 2*b = -60, 175041*b - 142 = -5*o + 175037*b for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k + 4*k + 9299997 = g, 27900006 = 3*k - 2*g. What is k rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 0, 30, 108, 258, 504?\n\"Answer: 4*f**3 + 2*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -9*a**4 + 11*a**3*k**2 - 4*a**2*k**2 + a*k + 6*k**2 + 2*k - 1 wrt a.\nAnswer: -108*a**2 + 66*a*k**2 - 8*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 4617 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 1122121, 1122119, 1122117?\n\"Answer: -2*d + 1122123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.7388 + -0.3.\nAnswer: 1.4388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1*-1*(-6 - 78\/(-13)). Suppose 7*b + 2*b - 3240 = l. What are the prime factors of b?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 340 and 80060?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 36908 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -23 - -22.987. Let r = y - -0.013. What is the third smallest value in -0.4, r, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -75245 - -176152. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = p + 15. Let x be j(-12). Put x, 2\/7, 2\/3 in descending order.\nAnswer: x, 2\/3, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = f + 2*g - 11, 3*g - 13 = -3*f + 2*g. Let q be 2\/4 - 15\/(-10). What is the third derivative of 51*v**2 + 18*v**5 - 46*v**q - v**3 + v**f wrt v?\nAnswer: 1080*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -5.9066 - 0.6044. What is r rounded to 0 dps?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) -1\/4  (b) 6\/5  (c) 0.12  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -1411203 (base 5) in base 7?\nAnswer: -150224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) be the second derivative of a**4\/12 + a**3 + 11*a**2\/2 - 7*a. What are the prime factors of k(-9)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 10a + -3c4?\nAnswer: -2b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*s**5 - 12*s**4 - 12*s**3 + 44*s**2 - 24*s.\nAnswer: 4*s*(s - 3)*(s - 1)**2*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*p + 3*a + 2*a - 105, -2*a = 3*p - 60. Suppose -6*v - 2 = -14. Let t be 1\/(v\/40) + -2. Calculate the greatest common divisor of t and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1814420 by 257.\nAnswer: 7060","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 26 + -2. Let c(q) = -4*q - 4. Let n be c(3). Let j = n + t. Solve -2*b = 4*f + 10, 0*f - 2*b = 2*f + j for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 455 + -857. Let f = -363 - h. What is the greatest common divisor of f and 507?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2.9306 * -570\nAnswer: -1670.442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*v - 3*q + q + 18, 5*v = -q - 17. Let d = -0.01 + 2.01. Let b = 2.5 - d. What is the biggest value in b, -2\/5, v?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 5, -0.1, -3, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13836710 divided by 26107.\nAnswer: -530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -31 + x**3 + 12 + 25 + 30*x + 13 with respect to x.\nAnswer: 3*x**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3068*p**5 + 5702*p**2 wrt p?\nAnswer: -184080*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) be the first derivative of 109*x**3\/3 + 58*x**2 - 100. Find the second derivative of b(g) wrt g.\nAnswer: 218","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = n**2 + n - 2. Let i be a(-2). Put 5, -3, i in descending order.\nAnswer: 5, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -273*z**3 + 9*z - 9. Let x(f) = 68*f**3 - 2*f + 2. Calculate 2*r(p) + 9*x(p).\nAnswer: 66*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*j**3 + 0*j**3 - 7*j**3)*(2 - 10*j - 74*j - 4*j).\nAnswer: 264*j**4 - 6*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.6, 85, 3\/2?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2253691?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-9)\/15*(-20)\/24.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -125281 + 900431 = -2*j. Let u = -1757575 - j. Round u to the nearest 100000.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -56\/19*k**3 + 0 - 2\/19*k**4 - 100\/19*k - 154\/19*k**2 = 0 for k.\nAnswer: -25, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {r: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:28 AM and 11:28 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:37 PM and 10:46 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -9.27 + 9.27000603. What is r rounded to 7 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7533*s - 14365*s - 8 + 6832*s - 7*s**2.\nAnswer: -7*s**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = v**2 + 52*v + 211. Let c be u(-49). Suppose -2*i = 5*j - 19, 2*i = -0*i + 3*j - 5. Calculate the highest common divisor of c and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-6 - -1) + 165\/11*(-9)\/(-15). Sort -124, p, 2 in ascending order.\nAnswer: -124, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2979883?\nAnswer: 1109, 2687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-1 + 4 + 6)*(-2 + 0 + 0) - 4 + 5 + 0)*(3*b**2 - 5*b**2 - 4*b**2) - 11*b**2 + 6*b**2 - 21*b**2 + (b + 0*b - 2*b)*(-b + 2*b + 0*b).\nAnswer: 75*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 4*4*(0 + 178). Let x = b - 1648. Let o be (-13)\/((-117)\/17850)*x. What is o rounded to the nearest 100000?\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -n - 2*n**4 + n - 2 - 3*n**2 + 2*n**2 + 2*n to the form s*n**2 + z*n + b*n**3 + g + f*n**4 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Product of 12.729 and 3.\nAnswer: 38.187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000084036 rounded to 7 dps?\nAnswer: -0.0000084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.08 - -1.48. Round f to 0 dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 19102.\nAnswer: 2, 9551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 + (-3 + 4 + -2 - -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 93.001878 - 93. Round h to 4 decimal places.\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4082, -16344, -36784, -65402, -102198, -147172, -200324?\nAnswer: -261654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q and 1 o when two letters picked without replacement from {q: 2, o: 4, m: 2}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + -1 + (sqrt(77) + -1*2*sqrt(77))\/(-6*sqrt(22)\/sqrt(2)) + -5)**2.\nAnswer: -7*sqrt(7)\/3 + 1771\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.18 and -12.9334.\nAnswer: -2.328012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 739204682?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 430032 and 278256?\nAnswer: 4730352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*g - 5*x - 6 + 18 = 0, -5*x + 8 = -2*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -5?  (a) -22  (b) -3  (c) -0.69  (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 1 d when two letters picked without replacement from ipqptdz?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = 7*t**2 + t + 12. Let r(c) = c**2 + c + 1. Let q(z) = g(z) - 2*r(z). Let n(h) = -9*h**2 + h - 19. Let b(j) = 6*n(j) + 11*q(j). Does 10 divide b(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -61*b + 26 + 19 = -46*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -1983  (b) -1  (c) -0.01  (d) 0.3  (e) 267\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -14.6 - -1.6. Let k = -11 - g. Let h = 0.1 + -0.3. Which is the nearest to 1?  (a) h  (b) k  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -17324 times -5\nAnswer: 86620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 109100549 to the nearest integer?\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 29 + 205 = 0. Let m = d + -105. Suppose -m*g + 7*g + 5335 = 0. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -80 less than or equal to -79?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1407 is divided by 632.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 6 + -4. Suppose 0 = j*w - 3 - 5. Suppose 0 = 4*n - 3*y - 151, n + w*n = 4*y + 190. What are the prime factors of n?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -9*i**2. Let o(d) = -d + 3. Let a(u) = -6*u + 2. Let l(m) = -5*m + 2. Let p(h) = -4*a(h) + 5*l(h). Let y(k) = -2*o(k) + 3*p(k). Give r(y(s)).\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 3733780097 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-14)\/(-49))\/(18\/(-14))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -15.6 - -30.6. Put 3\/5, q, -2\/3 in decreasing order.\nAnswer: q, 3\/5, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -i**2 + 5*i + 8. Let y be g(5). Let a be 0\/(y - 12) - (-1 - 30). Suppose -a*s - 12 = -34*s. Solve -z + 3*u - 24 = 2*z, -3 = 3*z + s*u for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a - 36 = -8. Let j = a - -4. List the prime factors of j\/(-15) + 38\/10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = 2*d - 37. Give g(0).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:51 PM and 5:07 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 22*t**2 - 3*t**2 - 5*t**2 - 12*t**2.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 59 + -46. What is the greatest common divisor of 208 and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -16, -5845.2, 1, 0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (565*z - 308*z - 534*z)*(2*z + 951 - 4*z - 969).\nAnswer: 554*z**2 + 4986*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -53 = 18*x + 2521. Let j = x - -144. Solve g + 2*c = 3, 3*g + 18 = c - j for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((2 + 4 - 4)*(-4 + 0 + 5) + 3 - 3 - 3)*(-2 - 2 + 3 + (1 + 0 + 1)*(0 + 0 - 2) + 1 - 1 - 2)*(-109 - 781*s + 786*s - 67) to i + h*s and give i.\nAnswer: -1232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 4, u: 4, i: 6, z: 4}. Give prob of picking 1 w and 1 u.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -47, -20, 19, 70?\n\"Answer: 6*k**2 + 9*k - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 91 a factor of 6833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1988 - -0.4.\nAnswer: -1987.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -2*v**2 + 3 - 7*v - 5 - 7 + v**2. Let z be u(-4). Suppose 2*p - 3*n = n - 4, 2*p - z*n = -2. Does 2 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + s = -11. Suppose 5 = -3*j + s. Suppose 2*p - 38 = j*u, p - 2*p = 4*u - 19. What is the greatest common divisor of 95 and p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*k - 5*k - 6. Let s(h) = 4 - 6 + h + 1. Let l(m) = 6*m - 7. What is k*l(i) + 14*s(i)?\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -1.5 times 6\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -5 - 2b9c?\nAnswer: -2ba4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 343707 - 7?\nAnswer: 343700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 9*i**2*r - 41219369*i**2 - 630853*r wrt r.\nAnswer: 9*i**2 - 630853","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 458 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 46911*m**3 - 8514*m**3 + 57215*m**3.\nAnswer: 95612*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 42*n**2 - 123*n**2 + 45*n**2.\nAnswer: -36*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -2317*u + 131736. Give c(57).\nAnswer: -333","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 12476 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 8, k: 1, f: 1, w: 2, l: 3, a: 1}. What is prob of picking 1 l and 2 w?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 + 0*v + 0*v**3 - 2\/7*v**4 + 2\/7*v**2 = 0 for v.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + 14 + (-73 - -65) - -5?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 11653?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((r**(1\/9)\/r)\/r)\/r**(-13))**43)**3 assuming r is positive.\nAnswer: r**(4300\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = 7*x - 2. Let s(v) = 1499*v - 374. Let d(n) = 4*h(n) - s(n). Differentiate d(b) with respect to b.\nAnswer: -1471","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35332 = 4*x - 4*v, 5*x = -3*v - 19795 + 63992. Suppose x = 9*p - 6265. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 731.223 micrometers to nanometers.\nAnswer: 731223","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 15825 - -2664. List the prime factors of u.\nAnswer: 3, 6163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*o**4 - 2*o**4 + 3*o**4 + (-1 + 1 - o)*(2*o**3 - 12*o**3 - 16*o**3) + 2*o**4 - 4*o**4 + 0*o**4.\nAnswer: 28*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: Solve -18 = 2*s - 2*z, 10*s + 79*z = 77*z - 42 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*f**2 - 66726810*f - 222623358638805.\nAnswer: -5*(f + 6672681)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert -174b (base 13) to base 5.\nAnswer: -102233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -23*g**3 - 24*g**3 - 4 - 371*g**2 + 371*g**2 - 21*g**3 + 67*g**3.\nAnswer: -g**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3 (base 7) to base 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.3 and -689.\nAnswer: 206.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*n**4\/4 - 453*n**3\/4 + 114*n**2.\nAnswer: -3*n**2*(n - 1)*(n + 152)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -d**2 + d - 1. Let v(n) be the third derivative of -1\/120*n**6 + 0*n + 21*n**2 + 1\/24*n**4 + 0 - 1\/60*n**5 - 1\/6*n**3. Determine 3*v(g) - 3*y(g).\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -t**3 + 16*t**2 + t - 14. Let f be (1*4)\/((-2)\/(-41)). What is the lowest common multiple of n(16) and f\/5 - 4\/10?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 263719309?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 78467009.\nAnswer: 78467009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:26 AM and 7:14 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-81*43\/(-3483))\/((-1)\/45).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -81 + 99 = 6*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 2*s**3 - 3*s**2 + s. Let z(x) = 947*x**3 - 728*x**2 + 11*x. Let v(u) = 22*k(u) - 2*z(u). What is the third derivative of v(p) wrt p?\nAnswer: -11100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 36300 is divided by 9071.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c - 2*z + 624 = 654, 5*c + z - 39 = 0. Solve -3*b - c = g, 0 = 4*b - 4*g - 4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find d such that -d**3 - 439*d**2 + 527584*d - 1053404 = 0.\nAnswer: -979, 2, 538","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.17504 to 2 decimal places.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-6)\/(-4))\/(9\/24). Let q(t) = t**2 - 4*t. Let h be q(4). Let m(y) = y - 4 + b + h. Let w(d) = -2*d. Calculate m(w(k)).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 e and 2 v when four letters picked without replacement from {e: 10, f: 6, v: 2}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/125 of a kilometer in centimeters?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 42, -5, -11, 12, 3 in ascending order.\nAnswer: -11, -5, -2, 3, 12, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23 = 11*a - 12*a. Solve 4*k - c - 4*c = a, -10 = k + 4*c for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -78 = l + 2*l. Let p = l - -32. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*x = 17*x + 44. Calculate the remainder when 21 is divided by (-3 + x\/(-3))*18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2756106 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -8371*r**5 + 111*r**2 + 20*r**6 + 8371*r**5 wrt r?\nAnswer: 2400*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 117867761 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16683 = -4*x + 16643 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000757187478 rounded to 7 decimal places?\nAnswer: 0.0007572","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (63\/126)\/(30\/(-8))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*v - 8 = 23*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -21*d - 22. Let i be v(-7). Let u = 124 - i. Is (-16)\/4 + 80 - (u + 1) a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 134268413?\nAnswer: 134268413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (77\/(-22))\/(28\/56)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-936)\/182)\/(2\/21). Let r = l - -79. Suppose -3*h - 194 = -719. Calculate the greatest common factor of r and h.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 159187?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = l**3 + 163*l**2 + 282*l - 3270. Give f(-161).\nAnswer: 3170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 7442006 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -4469 + 233301973\nAnswer: 233297504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1.4255 - 0.3975. Let z = o - -2.32. Let j = 0.5 - z. What is j rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6928193 + -7236.567?\nAnswer: -6935429.567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b - 4*h - 13874 = 0, -677 + 3459 = b + h. List the prime factors of b.\nAnswer: 2, 3, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 29020170?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 25\/6 and 43\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(68) + (sqrt(119) - -3*sqrt(119) - sqrt(119))\/sqrt(7) - (sqrt(425) + -1 + -3 + sqrt(425) - (sqrt(425) + 1 + 3)))**2.\nAnswer: 64*sqrt(17) + 336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 6\/5 of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.4 in 26\/3, 3, 5\/6?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000651852 to six dps.\nAnswer: 0.000065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uuu when three letters picked without replacement from {u: 5, p: 2}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 66\/4*(1581\/9 + 7). Suppose g = 20*q - 17046. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -85\/22997904 and -41\/126488472?\nAnswer: 252976944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 3\/4  (b) -9  (c) 2\/33  (d) -1456  (e) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) be the second derivative of -r**7\/2520 - r**6\/80 - r**4\/12 - 55*r**3\/6 + 5*r + 19. Let x(y) be the third derivative of z(y). What is k in x(k) = 0?\nAnswer: -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6 (base 10) to base 15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-84)\/4 + (118 - 77)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Determine p so that p**3 + 8*p - 3*p**4 - p**4 + 15*p**3 - 20*p**2 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -w = 7*j + 61, -5*w + 25 - 37 - 74 = 15*j + 39 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -17\/18 + 13\/9. What is the third smallest value in u, -1, 0, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-4*s + 5*s - 4*s)*(0 - s**2 + 0) - 3*s**3 + 2*s**3 + 0*s**3 + 2*s**3 - 2*s**2 + 2*s**2)*(-25*s - 125 - 100*s + 125).\nAnswer: -500*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 234 a factor of 2585?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (19 - 25) + (7 - 3) - (13 + 4 + -2)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 1 + 1)*((10*m + 0 + 0)*(-m - 5 + 5) + 8*m**2 + 4*m**2 - 4*m**2 - m**2 - 3 + 3).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1, 4, 13407?\nAnswer: 13407","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 62478.52 centuries to millennia.\nAnswer: 6247.852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 310 minutes before 1:30 PM?\nAnswer: 8:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*p + 48 = 4*x + 56, 3*x - 7 = p for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -1.3403 - -181974.4\nAnswer: 181973.0597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -1021 (base 4) to base 9\nAnswer: -81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 52*x - 60 = 44 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (3 - -2) + (104\/16)\/(9\/(-6)). Factor -2\/5*l**3 + 2\/15 - 2\/15*l - b*l**2.\nAnswer: -2*(l + 1)**2*(3*l - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 8\/(-28) + (-33432026)\/7. Let z be 26\/39 + v\/6. Let n be ((-5)\/2)\/(-1*(-1)\/z). Round n to the nearest one hundred thousand.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (22\/(-306))\/(34606\/18876).\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 - 4 + 1)*(-3 + 2 - 6)*(-447*u + 45 + 225*u + 225*u) to the form p*u + o and give o.\nAnswer: 315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y + 127 = -3*b + 2*b, 0 = 5*y + 2*b - 642. Let j = y - 192. Let x = 71 + j. Solve -3*g = 2*g - 5*p + 30, x = -2*g - 3*p for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2116077 and 19248.\nAnswer: 1203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of j**5 + 5758*j**4 - 18*j**3 - 366461*j wrt j.\nAnswer: 20*j**3 + 69096*j**2 - 108*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*v + 8*v - 30*v + 4*v.\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 33.3*-40.525\nAnswer: -1349.4825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -5*t**3 + t**2 - 5*t - 12. Let s(x) = -4*x**3 + x**2 - 4*x - 12. Let q(y) = -5*h(y) + 6*s(y). Let a(c) be the first derivative of q(c). Give a(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 40219255 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + (sqrt(17) - sqrt(85)\/sqrt(5)) + sqrt(17) - sqrt(51)\/sqrt(3)*6 - (1*sqrt(1700) + -4))*1)**2.\nAnswer: -120*sqrt(17) + 3841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/5, -1, 0.1, 2\/7, 4, 289 in increasing order.\nAnswer: -1, -2\/5, 0.1, 2\/7, 4, 289","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -4*h**3 + 8*h**2 + 25*h - 17. Give s(5).\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) be the third derivative of -f**7\/210 - 529*f**6\/120 + 107*f**5\/60 - 232*f**2 - 3*f. Find the third derivative of j(r) wrt r.\nAnswer: -24*r - 3174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 260 divided by -198958?\nAnswer: -130\/99479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 + -2 + -6 + 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 82002 - 19740. List the prime factors of g.\nAnswer: 2, 3, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -3*k - 51. Let v be b(-20). What is the second derivative of -62*c**2 - 38*c**2 - v*c + 33*c**2 wrt c?\nAnswer: -134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jeeet. Give prob of sequence jeet.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1 and 74458215.\nAnswer: 74458215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1982460 by 26085.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out 25025.4 + -76717.\nAnswer: -51691.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) be the third derivative of -n**8\/112 + n**7\/105 - n**6\/360 - 3*n**2. Solve a(t) = 0.\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 33 + -7564437\nAnswer: -7564404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 279*o - 173*o - 104*o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 54?  (a) -1\/2  (b) -0.1  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.5 and -73744190.\nAnswer: 36872095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + 4*g + 8394 = 0, -3*h + 7545 = -3*g - 5049. Is h a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3 - 2*d**5)*(117 + 69 - 328)*(-2 + 2 - 1).\nAnswer: -284*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10 (base 7) to base 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = 55169*h**2 + 88*h - 1. Is t(-1) a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000011201 to 6 dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -y - 12*y - 18 + 1. Let m(i) = -6*i - 7. Let p(j) = 4*g(j) - 9*m(j). Let o(w) = -w + 4. Let k be o(-3). Give p(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1794*i + 116780 = -9884*i for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 491 is divided by 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 0 + -1131320211?\nAnswer: -1131320211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 86*o - 511 + 81 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-354)\/54 + 7)*3. Let x(u) be the third derivative of 1\/3*u**5 + 0 - 10*u**2 + o*u**3 + 0*u + 7\/6*u**4. Factor x(f).\nAnswer: 4*(f + 1)*(5*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -33476 + 33478.4007. Let r = 0.24 - 2.64. Let d = z + r. What is d rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {m: 3, b: 4, v: 1}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (2 - 12) + (-490)\/(-49). Let u(f) be the second derivative of 1\/2*f**3 + 0*f**2 + k - 1\/12*f**4 + 2*f. Give u(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 96\/36*((-188)\/64 - -3)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*f = -26*f - 480 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 5.301893 to two dps.\nAnswer: 5.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 63*y**2 + 1414*y - 27687. Determine m(-35).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 88 minutes before 4:29 PM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bbjjbjbbbbbbbbbbbbj. Give prob of sequence bbj.\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 12\/25 of a litre in millilitres?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 7, p: 2, j: 4, x: 5, h: 2}. What is prob of picking 1 h, 1 p, and 1 x?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, 0, 2, 1, -101, 10, 4 in increasing order.\nAnswer: -101, -7, 0, 1, 2, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 1524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 67956730?\nAnswer: 2, 5, 19, 357667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.4 take away 21762?\nAnswer: -21764.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = -0*s + 10. Let u be (2\/3)\/(2\/9). Let g(p) = 5 - p**u + 0*p**2 + 6*p**2 - 5 - 6*p - 3. Determine g(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 16*s + 720. Let n be a(-45). Which is bigger: 0.267 or n?\nAnswer: 0.267","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 5*s = s, -3*g = 5*s - 16. Suppose -3*a = 9, 0 = -g*o - 4*a + 9*a + 47. What is the least common multiple of 20 and o?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 430 minutes after 1:33 AM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d**(-2\/11)*d*d)\/((d*d\/d**(-2\/31)*d)\/d)*(d*d*d**(-5\/2)\/d)\/((((d*d*d**(-11\/3))\/d)\/d)\/d) assuming d is positive.\nAnswer: d**(8021\/2046)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 5*b**3 + b**2 + 8*b + 7. Let d(f) = 4*f**3 + 7*f + 6. Let x(y) = -5*c(y) + 6*d(y). Let o be x(-6). Calculate the greatest common divisor of 10 and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -37 - 17. Let v = t + 63. Suppose v*z - 365 = 571. Is z a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 6\/(-4)*(-42)\/9. Suppose -6*g + p*g = 5. Suppose g*m - 488 = -0*k + k, 188 = 2*m - 4*k. What is the remainder when m is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-4*1)\/(((-15)\/75)\/(13\/65)))\/(-10)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 + 1\/2*m**4 + m**2 + 0*m - 3\/2*m**3.\nAnswer: m**2*(m - 2)*(m - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 21430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 92 + -88. Let z(x) be the first derivative of 0*x - x**s + 0*x**2 - 1\/3*x**3 + 4. Find the third derivative of z(c) wrt c.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 41019860?\nAnswer: 2, 5, 7, 19, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v = 8*v - 84. What is the remainder when v is divided by 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 118, 125, 136, 151, 170?\nAnswer: 193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 9037 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = 30*p**3 - 25*p - 22 - 11*p**3 - 12*p**2 - 10*p**3 - 8*p**3. Is h(14) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*k - 6*k + 10*k. Suppose -d - n = 45, 81 = -k*d - 2*d + n. Sort -3, d, 1 in descending order.\nAnswer: 1, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -58*o = -0*o. Let u(a) be the third derivative of 0*a - 3*a**2 + 0*a**5 - 2\/105*a**7 + o + 0*a**4 - a**3 + 0*a**6. Differentiate u(n) wrt n.\nAnswer: -16*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -33534721 divided by -17\nAnswer: 33534721\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2491*t + 2*t**4 - 3*t**4 - 463*t**2 + 865*t**2 - 491*t**2 wrt t?\nAnswer: -12*t**2 - 178","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 32 - 19. Suppose w + 32 = 5*z. Let v(h) = -12 + 5*h**2 - 3*h**2 + z - h**3 + 2*h. What is v(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -v**2 - 4*v + 49. Suppose 3*q = 7*q - 300. Calculate the remainder when 4\/(-3)*q\/(-2) is divided by s(-8).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3904040 + 690104 = -143*g - g. Does 11 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.162982 times -1.278?\nAnswer: -0.208290996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -11 - -11. Which is the second smallest value?  (a) 2\/3  (b) g  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - m + 19 - 20.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 2*t**2 + 27*t + 211. Determine w(-16).\nAnswer: 291","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000531439167 rounded to six dps?\nAnswer: 0.000531","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -10*a + 171. Determine o(17).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**15*i*i*i**(6\/25)*i*i*i\/i**(-1\/28)*i\/((i\/(i*i\/i**38*i))\/i) assuming i is positive.\nAnswer: i**(-9607\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: ((-45)\/55 - -1) + 18\/22\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2161?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -25 - 4*k + 2 - 8 - 21 to the form b*k + l and give l.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-7\/3)*u**9*u)**(-1\/19)*(u**(-2)\/u**4)\/((u*u\/u**6)\/(u*(u\/(u*u**7\/u)*u)\/u)) assuming u is positive.\nAnswer: u**(-422\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -1a - -8c?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 680.89301 days?\nAnswer: 97.27043","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-7*o**3 + 8*o**3 + 10*o**3)*(168*o - 411 + 819 - 408 - 49*o) to p*o**4 + f*o + s*o**3 + x + n*o**2 and give p.\nAnswer: 1309","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.4 and -4.4677443.\nAnswer: -4.0677443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 23288 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13204 is divided by 357?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -2*f - 18. Let t = 48 + -59. Let z be n(t). Solve 10 = 3*o + 2*o - 2*l, -z*l = 2*o - 28 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = g**3 - g**2 + g - 15. Let a be x(0). Let u = -583 - -582. Which is bigger: u or a?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -4. Let i(b) = -2*b - 34. Let u(s) = -4*a(s) + i(s). What is u(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 16207 - 8924. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2699591494?\nAnswer: 2, 3299, 409153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 5721989873 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 344 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fsj when three letters picked without replacement from {s: 4, b: 1, f: 4, j: 3, o: 2, l: 1}?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -3 + 2*l**2 + 3. Let a(q) be the third derivative of -q**8\/20160 + q**5\/12 - 6*q**2. Let d(o) be the third derivative of a(o). Calculate d(t(y)).\nAnswer: -4*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 73750222*i*s**4 - 3*i*s**2 - 4*i*s + 5*i - 2*s**2 - 531367*s + 1 wrt s?\nAnswer: 1770005328*i*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*b + 5*t - 30, -b + t - 3*t = -12 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 27586?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.2112 or 0.1?\nAnswer: 0.2112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c = -2*c - 456. Suppose -f + c = 3*f. Suppose 5*r - f = -2*k, -5*r + r + 56 = -k. Is r a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 10, -3.1, -1\/10, 0, -0.05?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -40*r**2 - r - 1. Determine j(-1).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 66\/(-84)*1274\/(-4004)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 9\/(-6)*(-132)\/18\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -394.2 - -394.243. Let j = -372.757 + 379.6. Let c = j - w. Round c to 0 decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -3 - 2 - -5 - (2 + -3249) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f - 6 + 22 = 0. Find the first derivative of 0*u**f + 6 - 11 + 2*u**4 wrt u.\nAnswer: 8*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1098 and 15?\nAnswer: 5490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -33.34 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -j**3 + 33*j**2 - 5*j + 15. What is the hundreds digit of b(11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5 - 3*44\/(-33))*(4 + 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 5  (b) 0.1  (c) -0.2  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 57*y - 55*y - 6998 = -4*o, 0 = -y - 5*o + 3517. Does 79 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 5.900847ng?\nAnswer: 0.000000000005900847","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 15410*s - 15410*s + 131*s**2 to f*s + d + o*s**2 and give o.\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.738 - -0.338. Which is the closest to -1\/63?  (a) o  (b) 0.3  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2 - -4. Suppose 4*w - o*c - 134 = 0, -3*c = -w - 8*c + 50. Calculate the remainder when w is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 650564?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 > -110\/291?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n + 4 = 0, n + 131 = 5*i - 2*i. Let v(g) = -g**2 - 13*g - i + 0*g - 4*g. Calculate the remainder when 28 is divided by v(-12).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*k + 21*k + 3*k = 0. Suppose v - 27633 = -4*j - k*v, 20706 = 3*j - 3*v. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 9 - 17. Let m = h + 9. Let u = -366\/5 - -73. Which is smaller: m or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-9930)\/93555*11 - (-8)\/7\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = 3*r + 2542. Let s(y) = 8*y + 5066. Calculate -4*s(n) + 10*z(n).\nAnswer: -2*n + 5156","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 - (6 + (3 - 9) + 3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -476, -467, -452, -431, -404, -371?\nAnswer: -332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 6*f**5 - 5*f**5 + f**2 + f**2 - 5*f**5 wrt f?\nAnswer: -240*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -11.35 and -287.5?\nAnswer: 3263.125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 291 a factor of 18200886?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) be the second derivative of -d**6\/10 + 9*d**5\/35 - 3*d**4\/28 - d**3\/7 - 3*d - 2. Factor w(c).\nAnswer: -3*c*(c - 1)**2*(7*c + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (2 - 3)*1 - -2. Let p(w) = 18*w**2 - 24*w - 7. Let d be p(7). Let i(b) = -1 - 708*b + 2 + b**2 + d*b - b**3. Calculate i(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from btttrttbrtlrrttitb. What is prob of picking 2 r, 1 l, and 1 b?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000001974226037 rounded to 7 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = 3*z + 2*a, 0*a - 5*a - 20 = 5*z. Solve -5*w - 90 + 85 = z for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 201 rounded to the nearest ten?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Total of 4.8 and 0.9746.\nAnswer: 5.7746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 - 2 = -m. Let c be 4\/(-6) + m\/3. Let a be 36\/10 + c\/(-15). Solve -d + a*d = 12 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 13221 (base 5) to base 9.\nAnswer: 1408","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-161296)\/(-36120) - 2\/3. Let t = s - -1\/903. Let p = -12079\/507 - 3\/338. Find the common denominator of t and p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -b**2 + 9*b + 14. Let q be w(10). Let v be (10\/(-4))\/1*2. Suppose -i - 4*s = 4 + 19, 25 = -2*i - 5*s. Put v, i, q in increasing order.\nAnswer: v, q, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:46 PM and 4:41 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 31112*c - 15510*c - 15508*c = -6758 + 1776 for c.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -66257 - 11?\nAnswer: -66268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7597287 is divided by 94?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*d**5 - 4*d**5 + d**5 + 0 + 0 + d**5 + (2*d**2 - 2*d**2 - 2*d**4)*(3 - 3 - d) + (3*d**3 - 3*d**3 + 3*d**3)*(-2*d**2 + 9*d**2 + d**2).\nAnswer: 29*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 330 divided by 2\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-5)\/(-1 + 0) + 8 + -7. Let o(b) = 13*b**3 + 16*b**2 + 33*b - 17. Let c(a) = -7*a**3 - 8*a**2 - 17*a + 9. Let j(p) = v*o(p) + 11*c(p). What is j(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 12*-4*4\/(-12). Let f = -10 + k. What is the second derivative of 6 + 4*x - f + 2*x**5 wrt x?\nAnswer: 40*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -78, -69, -58, -45, -30, -13, 6?\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*w + 11 = -4*u + 9*u, w + 7 = 5*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*b + 4*r - 25389 = -25379, 7*b - 10 = -r for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 + (-6 + -10 - (-4 - (3 - 7)))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7 + 7 + 30*h.\nAnswer: 30*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 3, f: 4, m: 2, b: 1, d: 1}. What is prob of picking 2 i and 2 m?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*z - 1 - 44. Suppose 3*q + z = 0, -f = -3*f + 3*q + 15. Suppose 0 = 50*d + 222 - 372. Sort d, f, -3 in ascending order.\nAnswer: -3, f, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) be the second derivative of -a**3\/3 - 28*a**2 + 38*a. Let b be g(-30). Solve -b*r - 10 = -i - 0*i, 3*i + 15 = -3*r for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -27*m - 255. What are the prime factors of c(-13)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 572 divided by 52.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -3 + 1 - (-33721 + -1). Let u = s - 50820. Round u to the nearest 1000.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/23 in -4, -16, -2\/115, 3?\nAnswer: -2\/115","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.453564811 rounded to three dps?\nAnswer: 0.454","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 3*v**2. Let f = -2 - -4. Let m(l) = -4*l - 3*l**f + l + 3*l. Calculate d(m(k)).\nAnswer: 27*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-12)\/8 - (-77)\/54. Which is greater: 0 or o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -1203*m - 1206*m - 2 + 2417*m + 21 + 24 as u + t*m and give u.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 206, 210, 214?\n\"Answer: 4*h + 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + 5*w + 9 = 0, 3*w = 2*g - 5*g + 9. Suppose 1 = 2*h + 3*b, -5*h + 5*b + 7 = -4*h. Calculate the lowest common multiple of g and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -264.02752 times -1\nAnswer: 264.02752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0*o**2 + 0*o + 2*o**2 - 6*o + 8*o.\nAnswer: 2*o*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (261\/4263)\/(2\/(-14)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a = 2*l - l - 60, 270 = 3*l - 3*a. Does 28 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = 8*b**3 - b**2 + 1. Let y be f(-1). Let k be (-4)\/y*(2 + -2). Suppose 3*o + 3*n - 6 = k, 2*n + 0*n - 6 = -o. Which is bigger: 16 or o?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -5*h**3 - 22*h**2 - 3*h + 19. Let o(v) = -3*v**3 - 12*v**2 - 2*v + 10. Let s(p) = 4*f(p) - 7*o(p). Let y(l) = -l**2 + 1. Calculate -s(q) + 4*y(q).\nAnswer: -q**3 - 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 40*i**4 - 2*i**3*m**2 + 3*i**3*m + 2*i**2 + 271*m**2 - 10*m wrt i?\nAnswer: 960*i - 12*m**2 + 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b = 2*v + 77, -4*v + 9 - 1 = 0. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -9806 + 9804. Which is the biggest value?  (a) r  (b) 41.6  (c) 1\/10  (d) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2861 - 2725. Calculate the remainder when c is divided by 36.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1039*h*k**2 - 3*h*k - 6*h + 11*k**2 - 6*k - 5 wrt k.\nAnswer: 2078*h + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.606 to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*c = 2, c + 3*c = -60*h - 11 - 60 + 15 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -100211202 - 1?\nAnswer: -100211210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1 - 1\/((-1)\/13). Let h = u + -9. Suppose -p = -h*b - 15 - 10, 0 = 2*p + 5*b + 25. Which is smaller: 1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 1, c: 1, g: 1, p: 1, i: 1}. What is prob of sequence pn?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) be the first derivative of -2*j**3\/15 + 2*j**2\/5 + 6*j\/5 + 110. Suppose g(d) = 0. What is d?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1167200742?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 137305?\nAnswer: 5, 7, 3923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -135 - -1495\/12. Suppose 4*w - 67 = 77. Find the common denominator of -1 + 309\/w + -2 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -749.000487 + 749. Round i to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 92 and 207.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 157 a factor of 13114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5 - 4 - 877*l - 1.\nAnswer: -877*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*u = 6 - 28 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 20 and 3422?\nAnswer: 34220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 301212611 - 2?\nAnswer: 301212607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (c**2 - c**3 - c**2)*(526536 - 526536 - 10453*c) to the form s*c**2 + q*c + l*c**4 + i*c**3 + y and give l.\nAnswer: 10453","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Product of 13937 and 103.1.\nAnswer: 1436904.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4060116 by 1353372.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-5))**(-10)\/(o**(-5))**(2\/17) assuming o is positive.\nAnswer: o**(860\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -12*h + 28*h - 4*h - 8*h - 5*h. Let q(d) = -18*d**2 - 5*d. Give j(q(u)).\nAnswer: 18*u**2 + 5*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -7*g*r**6 - 1800*g*r**4 + 4*g*r**2 - 174*g - 7 wrt r.\nAnswer: -840*g*r**3 - 43200*g*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -45 divided by 3\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -62.1 - -61.8. What is the second biggest value in 1\/2, 3, j, -4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = 28*s + 339. Let q be d(-12). Solve -4*c = 4*l + 32, -3*l + q*c - 8*c = 32 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1107836.\nAnswer: 2, 419, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2013 - 1040. Let i = 973.00002196 - c. Round i to 6 dps.\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 196567?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1030 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 55 - 47. Differentiate 2*p + i + 9 - 26 - 29 wrt p.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 382696.7ml to litres.\nAnswer: 382.6967","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = 71 - 51*h + 84*h - 63*h. Suppose -75 = a - 4*a. What is the remainder when y(0) is divided by a?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 177.168647 * 0.4.\nAnswer: 70.8674588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/(8\/2)*59\/(-209745)*120.\nAnswer: 2\/237","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = 2*z + 1. Let t be h(-2). Let q = t - -7. What is the third derivative of 2*o**3 - 2*o**2 - 2*o**3 + o**q wrt o?\nAnswer: 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**7\/((c\/c**(-2\/27))\/c*c)*(c*c**16)**(2\/7) assuming c is positive.\nAnswer: c**(2038\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 6*r**2 - 19*r. Let c(x) = -3548*x. Calculate c(g(y)).\nAnswer: -21288*y**2 + 67412*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from adddaaaa. Give prob of sequence ad.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1819953392?\nAnswer: 2, 821, 138547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1245044?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 5*v = 3*a - 23, -3*a - 6 = 4*v. Let r(x) = -3*x**a + x**3 + 8 + 2 + 3*x - 4 - 3. Is r(3) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 140358421.\nAnswer: 7, 31, 401, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = 103*z + 50 + 51 - 101 + 25*z. Let v(s) = -42*s. Give i(v(m)).\nAnswer: -5376*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 17604359 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -3249 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Determine l, given that -5*l**4 + 98025*l**3 + 6589465*l**2 + 12884835*l + 6393400 = 0.\nAnswer: -65, -1, 19672","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -178 + 1494. Does 47 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x and 2 y when three letters picked without replacement from taqqqaxutaqatxyaqaay.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -85997 + 85989.2073. Let j = -7.8 - q. Round j to three decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1810, 1337, 844, 331?\nAnswer: -202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -60 - -119\/2. Sort q, -3\/4, -2, -4 in decreasing order.\nAnswer: q, -3\/4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -s**2 - 4*s - 3. Let z(h) = 2*h**2 + 9*h + 7. Let a(m) = -13*y(m) - 6*z(m). Let g(k) = -81*k - 1117. Let c be g(0). Let u = c - -1115. Give a(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-205)\/(-10) + (-1)\/2. Suppose 11*x - 7*x = n. Suppose 4728088 = -x*b - 4*h - 5721892, -10449990 = 5*b + 2*h. Round b to the nearest 100000.\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1450367 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0  (b) 4  (c) 1\/26  (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 64, 181, 384, 679, 1072, 1569?\nAnswer: 2176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -77*p + 612. Let s be m(8). Let t(y) = -2*y**3 - y**2 + 4. Let a(l) = 2*l**3 + l**2 - 5. Determine s*a(v) - 5*t(v).\nAnswer: 2*v**3 + v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 12213*v + 2356*v**2 + 979*v**2 - 12209*v + 499 wrt v.\nAnswer: 6670","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 6398 and 1064.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = q**2. Let n(g) = -g**2 + 8*g + 7. Let v be n(8). Let y(s) = s**2 + v*s - 7*s. Give y(h(u)).\nAnswer: u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 3, g: 11}. Give prob of sequence pp.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 325 (base 12) to base 11.\nAnswer: 38a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1932 - -3617. Let c be (-4)\/6 + (-2836)\/3. Let m = c + l. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 32 <= 234\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 + 2 = -2*u. Let o = 0.16 + -0.16. Which is the third biggest value?  (a) 2  (b) o  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10 - 4 + 9 - 3)*(-24*b + 22*b - 60*b).\nAnswer: -744*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 144 - 147. Let u be (-114)\/(-14) + 2\/(-14). Let s(m) = -9*m**3 - 8*m**2 + 8*m. Let r(f) = -3*f**3 - 3*f**2 + 3*f. Calculate h*s(i) + u*r(i).\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 325 and 169.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + 93 + 0 = 0. Let i(x) = -o*x + 65*x + 10*x. Let u(b) = -5*b**2. Give u(i(w)).\nAnswer: -9680*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -25 + 31. Let x = b - -1. Calculate the remainder when 24 is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p - 496 = -4*d, -3*p - 536 = -5*d + 84. Let x be 3*(62\/24 + (-155)\/d). Solve -g = -4*a + 17, 4*a - 24 + x = 4*g for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eqqcqcvecqqsq. Give prob of picking 1 s and 1 q.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 855 - 287. Suppose 0 = -37*w + 2381 - n. Calculate the highest common divisor of w and 1225.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.004037059 rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) be the first derivative of 38*i**3\/3 + 44. Let v(l) = -13*l**2 + 9*l + 9. Let r(q) = 3*q**2 - 2*q - 2. Let t(c) = 9*r(c) + 2*v(c). What is t(h(x))?\nAnswer: 1444*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 121286.\nAnswer: 2, 11, 37, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-4)\/(-18) + 130\/(-18). Let c be (-4)\/(-18) + 156\/27. Let b = g + c. What is the closest to -0.1 in -0.2, -3, b?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 26199?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(114) + (sqrt(114) + sqrt(114)*3*-6 - sqrt(114)) - 1*(sqrt(114) - sqrt(114)*-2))\/(sqrt(48)\/(sqrt(80)\/(-1*sqrt(10)))*6).\nAnswer: 10*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 20257 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.007436 to 4 dps.\nAnswer: -0.0074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 5 + 4)*(2*z + 0*z - 4*z)*(39*z - 30*z + 84*z).\nAnswer: -744*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -688, 906, 2500, 4094?\n\"Answer: 1594*t - 2282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*q - 4*k - 16 = -26, q + 9 = 4*k for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-6)\/10)\/(4\/(-20)). Suppose 0 = -19*s + 26*s - 1015. Suppose -2*u - h*u = -4*a - 100, -5*u - 5*a = -s. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12556 is divided by 5981.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 37*s - 34*s = 0. Suppose -4*b + b + 21 = 4*i, s = -3*b + 3*i. Suppose 3*f - 32 = -2*o + 10, -4*o + 72 = b*f. Solve -o = 4*v - v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -43657148 + 43?\nAnswer: -43657105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 - (-16 - -9) - 16.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3532263255 to the power of 1\/3, to the nearest integer?\nAnswer: 1523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 7\/2 of a tonne?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is b - 4d9?\nAnswer: -4cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 15 - 16. Let h be 42\/(-12) + l\/2. Sort -5, -6, h in decreasing order.\nAnswer: h, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4a (base 15) to base 7.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -8*c. Let l be j(-1). Let m be (2 + l)*2\/(-25). Let q = -11 + 6. Sort q, 1\/4, m in ascending order.\nAnswer: q, m, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*x + 235 = 125 - 214 for x.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -2*-10*9\/6. Let c = 8 + p. What is the remainder when 75 is divided by c?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-13)\/(13\/(-52)*4).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -28 + 68. What is the highest common divisor of 60 and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1658, -13335, -45038, -106781, -208578, -360443, -572390, -854433?\nAnswer: -1216586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 462318245 to the nearest integer?\nAnswer: 21502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4264 and 334984?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -7*p + 6. What is the units digit of t(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*z - 5*c - 13 = -z, 35 = -5*z + 5*c. Let p = -7 - z. Find the third derivative of 2*n**2 - n**p - 5*n**2 + 4*n**2 wrt n.\nAnswer: -60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9933 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/u**(-1\/7))\/((u*u**(-23))\/u)*(u**(2\/41)\/u)\/u*u*(u**(-29)\/u)\/u assuming u is positive.\nAnswer: u**(-2241\/287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 8*s**2 - 5*s + 8. Calculate the remainder when t(2) is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 21*d**2. Let o(r) be the third derivative of r**5\/30 - 8*r**2. Give o(b(g)).\nAnswer: 882*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-18)*z**13)**33 assuming z is positive.\nAnswer: z**(-165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2473343, 2473344, 2473345, 2473346, 2473347?\nAnswer: 2473348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*i = 5*i + 16. Suppose 4*h + 8 = 6*h. Suppose -s - h*s = -45. Calculate the remainder when i is divided by s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -6 - (6 - 36\/2). Solve -q*n = -n + 25, 3*m = -4*n - 32 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p = -2*p + 12. Let l(q) = 2*q**2 + 3*q - 3. Let b(k) = 5*k**2 + 6*k - 6. Let y(v) = -3*b(v) + 7*l(v). Determine y(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2\/7 or -42996.3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-330)\/(-8))\/(-3)*53\/(21995\/(-332)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4 + 94 = 18*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 25bcc4 + -1cb?\nAnswer: 25bac6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -946*o*v**2 + o*v + 2*o + 12313*v**2 wrt o?\nAnswer: -946*v**2 + v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.51427304 + -743.\nAnswer: -743.51427304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24 = -3*v + y, -y + 324153 = 4*v + 324142 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3886, 5945, 8004, 10063, 12122?\nAnswer: 14181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 3 - 202?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 74*a - 38?\nAnswer: 74","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 + 3 = -5*l. Which is the closest to 2\/7?  (a) 2  (b) l  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 107267 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*z**3 + 8*z**3 - z**3)*(-2 + 2 + 17688*z**2 - 17881*z**2).\nAnswer: -1737*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -392*v - 395*v - 408*v - 367*v + 1586*v.\nAnswer: 24*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -3*w**3 - 5*w**2 + w + 5. Let r be s(-4). Let n = -56 + r. Does 19 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/5?  (a) -2  (b) -0.18  (c) -3\/2  (d) 0.3  (e) -2.1  (f) 32\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 4 + 3*l)*(-4 + 1 + 4)*(-3*l + 3*l - l).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 174 and 16338194.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 568 (base 10) in base 5?\nAnswer: 4233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*v**2\/5 + 36*v\/5 + 8.\nAnswer: -4*(v - 10)*(v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 23269?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*x + 4*x + 6*x)*(-3 + 1 + 4) - 5*x + 12 + 4*x + 15 - 2 - 2*x + 2.\nAnswer: 7*x + 27","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-30)\/(-69)*(-372)\/(-1860).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -5005 - -5005.2. What is the second biggest value in -164\/3, t, -3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 8820 and 5647120?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2\/3  (b) 5  (c) -236\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.39 and -73.1.\nAnswer: 28.509","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = 6*u**3 - 14*u**2 + 12*u + 16. Let m(v) = -7*v**3 + 14*v**2 - 12*v - 17. Let z(j) = -5*m(j) - 6*p(j). Let w be z(13). Is 2 != w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 63 and 84?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/(-3)*(-1 + -8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 440 or -378?\nAnswer: 440","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 3\/7, -5, 2, 47?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*u + 15 = 27 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -561.256 + 0.256. Let x = -561 - t. Let o = 4 - 6. What is the nearest to -0.1 in -3\/4, x, o?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 27, -0.12, 8, 4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -548*g**2 + 19*g + 7. Let u be x(-2). Which is smaller: -2224 or u?\nAnswer: -2224","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -242*w = -133*w - 340*w - 17325 for w.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -283*c - 881*c - 1984*c.\nAnswer: -3148*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(2\/3)\/r)**(-3\/40)\/(r*r**(2\/5))**(-40))\/((r**(-1))**(-3\/7)\/(r**(2\/9))**43) assuming r is positive.\nAnswer: r**(164183\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 42389?\nAnswer: 19, 23, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -29776, -29726, -29626, -29476?\n\"Answer: 25*l**2 - 25*l - 29776","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*k = 6*k + 18. Suppose 5*q - 2*a = -k*a + 13, -5*q + a = -17. Let h(r) = r - q + 0 + 0 + 1. Determine h(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-30)\/55*2)\/(1\/(-11))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 7450898 and 4130.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 5952\/(-2232) + (2 - 4\/(-2) - 2)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1021089 to the nearest integer?\nAnswer: 1010","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -143\/20 or -0.13?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 7 - 10 + 4*d + 2*d wrt d.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -d**2\/2 + 345*d\/2 + 69788.\nAnswer: -(d - 584)*(d + 239)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 1\/16 of a millennium?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -46 and 0.8?\nAnswer: 46.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -2*h**2 - 3*h + 69. Let f be g(5). Let t(p) be the second derivative of 0 - 1\/16*p**f + 1\/4*p**3 - 3\/8*p**2 + 4*p. What is c in t(c) = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -34, -67, -86, -85, -58, 1, 98, 239?\nAnswer: 430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3\/8 in -7\/9, -2, -12?\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*p - 9 = 3*p. Suppose -z + 6 = r, -5*r + 2*r - 6 = -p*z. What is the greatest common divisor of z and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 19\/1077 - 8453\/72159. Calculate the common denominator of r and -11\/138.\nAnswer: 9246","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -390 divided by 78\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -6*3\/6 + 5. Suppose 4*w - f*w + 5*l = 24, -4*w - l + 30 = 0. What is the remainder when 47 is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 46 a factor of 59596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zaaaaajaaaaaaj. Give prob of picking 2 j and 1 a.\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*a**3 + 1603997*a**2 - 400999*a = 0 for a.\nAnswer: 0, 1\/4, 400999","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: What is -372.2502782 rounded to one dp?\nAnswer: -372.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-1)\/(-3)*19\/19. Let w = 0.2802 - 0.6802. Which is the third biggest value?  (a) 4  (b) u  (c) 0.8  (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 234.3 + -233.3. Let x(m) = m**3 - 8*m**2 - m + 6. Let n be x(8). Let s be (-70)\/(-55) - n\/(-1). Which is greater: b or s?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 5757440 and 2820480.\nAnswer: 8320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1 - (-111 - (16 - 5)) and 30?\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -66332 by 7.\nAnswer: -9476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 11924343 and 1507?\nAnswer: 131167773","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-6 + 4 + -4)\/(-2). Solve b + 0 + p = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9\/(-6)*(-1)\/9*-4\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -17*p + 3. Calculate n(2).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = n - 10. Let o be v(10). Suppose -4*i + 40 = -o*i. Let j = 31 - i. Is j a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -9*u**2 - 3*u + 1. Let a be i(5). Let y = -3287\/14 - a. Calculate the common denominator of (46\/184 + -1)*(65\/19 - 1) and y.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -w**2 + 4*w + 6. Let s = 19 + -14. Let v be c(s). What is the units digit of (-6)\/(-8) + v\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = 9*x**3 - 8*x**2 - x + 6. Let a(z) = 18 - 3*z + 119*z**2 - 52*z**2 - 37*z**2 + 26*z**3 - 1 - 53*z**2. What is 6*a(h) - 17*t(h)?\nAnswer: 3*h**3 - 2*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve l = 3*a + 62, 0 = 4*a - 219*l + 224*l + 70 for a.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j - 5 = 3*k - 23, -2*j = -3*k + 18. Let g(o) be the first derivative of -1\/4*o**4 - 5\/3*o**3 - 5\/2*o**2 - k*o + 2. Determine g(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 415 or 1246\/3?\nAnswer: 1246\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 0.3*0.27261\nAnswer: 0.081783","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -3  (b) -2\/3  (c) -0.1  (d) -26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-180)\/(-18))\/90 - (-3776)\/36. What is the second biggest value in u, 1, -2\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 - 6 = -2*l. Suppose 0 = l*t - 1 - 1. What is the smallest value in 4, 3\/4, t?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2433598 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6)\/88 + 4*(-1)\/(-16).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q**8*q)\/(q\/q**(-4)) assuming q is positive.\nAnswer: q**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (-2*sqrt(170)\/sqrt(250))**2.\nAnswer: -32\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1252900 and 536.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 21, 10, -11, -42, -83, -134, -195?\n\"Answer: -5*f**2 + 4*f + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.26059 to 2 decimal places.\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3570 divided by -70.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -40*i + 9*i**5 + 6*i - 14*i**5 wrt i.\nAnswer: -100*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-33)\/105 - 0 - (3097\/133 + -22).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 11508742?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 26*v. Let q(r) be the second derivative of 4*r**3\/3 + 2*r + 39. Determine q(o(n)).\nAnswer: 208*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 83 = 2*i - 3*q + 15, -4*q - 72 = -2*i. What is the remainder when 157 is divided by i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = n**2 - n + 1. Let c(i) = 25 + 5*i - 3*i - 2*i - 4*i - 4*i. Let h be c(3). Let t(k) = 5 + 2*k**2 - 4*k - 6*k + 2*k**2. Give h*t(g) - 6*o(g).\nAnswer: -2*g**2 - 4*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 41\/42684 and -121\/13284.\nAnswer: 47251188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 2*k**2 + 10*k - 3. What is the units digit of r(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -799 = 602*o + 37729 for o.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 113*p**5 - 60*p**4 - 2*p**3 - 3*p**2 + 39921?\nAnswer: 6780*p**2 - 1440*p - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 17 - 25. Let u be q\/(-4) - (3 - 1). Suppose u = h - 0*h + 3. Sort 5, -5, h in increasing order.\nAnswer: -5, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 526 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 - (7 - 3) - -50 - (-9 + 15 - 11).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 551?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -687 - -686.298. Let p = -0.802 - t. Which is the closest to p?  (a) 0.03  (b) 0.4  (c) 0  (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2307704 is divided by 329672.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -14 + 14.3. Let x = -14.7 - z. Let j = x - -20. What is the second smallest value in -0.2, j, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 99066 by 1738.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) be the third derivative of 85*v**8\/336 + 43*v**4\/6 - 10*v**2 - 1. Find the second derivative of o(z) wrt z.\nAnswer: 1700*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 16\/(-18)*(-3)\/4. Let x be (-8)\/(-6) + 3 + -3. Factor a*t - x + 2\/3*t**2.\nAnswer: 2*(t - 1)*(t + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 130*l**3 - 193*l - 259334.\nAnswer: 390*l**2 - 193","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -o**2 + 3*o - 8. Let j(s) = s**2 - 3*s + 7. Let y(l) = 3*j(l) + 2*n(l). Let a be y(3). Solve 5 = -z + 3*w, 0*z - a*w = -2*z - 10 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 818\/18 + -5 - -4 - 656\/1476\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 10  (b) 0.2  (c) 21.46  (d) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -4*s**2 - 3*s**2 + 12*s**2 - 5 - 6*s**2. Determine d(5).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.19 + 0.3. Let f = 167\/609 - -1\/87. Which is smaller: p or f?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 410*z - 5357 = 289*z - 366*z for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + j = -1387, -4*x + 7*x - 1024 = 4*j. Suppose 0 = -3*k - k + x. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*t + 63 + 75. Let a = 126 - t. List the prime factors of a.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 15334602 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 82974.\nAnswer: 2, 3, 13829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 29 + -11 + -30 - 21 - 3\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 63 and 782405232.\nAnswer: 2347215696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is ee3 (base 15) in base 9?\nAnswer: 4546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -727666 and -1.2.\nAnswer: 873199.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -8\/7  (b) 7528\/67  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p, 1 n, and 1 b when four letters picked without replacement from {p: 9, b: 3, n: 5, o: 1}.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 2, y: 10}. Give prob of picking 1 l and 2 y.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 1426\/(-3420) + (-244)\/(-305) and 157\/1254?\nAnswer: 3762","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = 2*h**2 - 9*h + 1. Let v be u(6). Let a = v - 15. Solve 0 = -2*n - 8 + 2, -a*n = 4*j + 4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -1403397 and -0.7.\nAnswer: -1403397.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 600801 a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 770542702 to the nearest integer?\nAnswer: 917","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -1072800 rounded to the nearest 10000?\nAnswer: -1070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 1, o: 1, z: 1, s: 6}. Give prob of sequence za.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 41 + 13 + -15 + 0\/(-1). Suppose 4*t = -n + 55. Solve 9*i + 10 = t*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*-2*(4*(-2 + (sqrt(272)*3)**2 + 3)*-1 + 1).\nAnswer: -97950","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 24204 is divided by 749.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide -44 by -2.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qqiiqdidy. Give prob of picking 1 i, 1 q, and 1 d.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*o = -25*o + 120. Suppose 29 = 2*k + 8*l - 5*l, k - 2*l - 4 = 0. What is the smallest common multiple of o and k?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 140573260 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -2*s**2. Let i(y) = 11*y**2 + 258*y**2 - 82*y**2. What is i(t(v))?\nAnswer: 748*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 254077 (base 8) to base 2.\nAnswer: 10101100000111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.064, -0.093, -2 in increasing order.\nAnswer: -2, -0.093, -0.064","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(17) + 0 + sqrt(17) + -2)*2 + 0.\nAnswer: -4 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -17*q**2. Let n(g) = 3 - 3 + g + g. What is b(n(w))?\nAnswer: -68*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**(-1\/10)*m**1*((m*m*m**(-1\/8)\/m)\/m)**(9\/2) assuming m is positive.\nAnswer: m**(27\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*r, 2*f = 4*f - 3*r - 310. What is the remainder when f is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**6\/w**(1\/4)*(w*(w**(-1\/4)\/w)\/w)**(-30))\/(((w\/w**3)\/w**(-2\/9))\/(w\/(w**1\/w))**(-32)) assuming w is positive.\nAnswer: w**(469\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 16 - 33.2. Let j = d + 15. Let g = -1.98 - j. What is g rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0 - 0.07. Let v = l - -5.07. Let s = v + -4.8. Which is the smallest value?  (a) -1  (b) s  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1876.431879ns in weeks?\nAnswer: 0.0000000000031025659375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(95)*-1 + sqrt(95)))\/sqrt(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uuuuuuutututut. What is prob of picking 3 u?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1045573 + -1040?\nAnswer: -1046633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide -636849700 by 7757.\nAnswer: -82100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 240631 a multiple of 210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 (base 4) in base 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -22 - 23. Let l = f - -80. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 815872 to the nearest integer?\nAnswer: 903","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 4\/16 - 1\/4. Let g be 110\/12*(-14)\/10. Let p = g + 13. Which is the closest to 1\/4?  (a) p  (b) -5  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 55923818 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2544 - 1216 - 1408 + 101 - f)*(3 + 2*f - 3) to the form k*f**2 + t*f + v and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 17 - 4. Let k = -9 + g. Which is the third biggest value?  (a) k  (b) 2\/3  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*l + 2393 = 2673 for l.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:36 AM and 2:17 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5638?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.412018331 and 3.\nAnswer: 2.587981669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -161 + -60981?\nAnswer: -60b12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 35 (base 11) to base 3.\nAnswer: 1102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -128\/89 bigger than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find s such that -2*s**2\/3 - 586*s - 31236 = 0.\nAnswer: -822, -57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a kilometer in meters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) be the first derivative of -2951*u**7\/7 + 164*u**3\/3 - u + 1243. What is the third derivative of q(x) wrt x?\nAnswer: -354120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 570 and 36870.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -11*s - 3. Suppose -11*y - 2*y = 26. Calculate w(y).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 6 + -8. Let j be (-5)\/20 - u\/8. Suppose -2800 = -j*r - 4*r. What is r rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + 0 + sqrt(175) - ((-1 + sqrt(175))*1 + sqrt(175))**2) + 0.\nAnswer: -705 + 25*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 87 - -780ba?\nAnswer: 78185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/(-6)*1)\/((-8)\/6)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - g = -1929301, -2572395 = 4*x - 33*g + 38*g. Round x to the nearest 10000.\nAnswer: -640000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2 + 0. Suppose v = 2*l - m, -5*m + 2 = -18. Suppose -n - w = -l*n + 27, -n = 5*w - 30. List the prime factors of n.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -l + 22. Let k be b(-4). Calculate the highest common divisor of 104 and k.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jjjjjjj. Give prob of sequence jjj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/(t\/t**0))**(-9\/4)*t**(-2\/13)*t**(6\/5) assuming t is positive.\nAnswer: t**(68\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -21 (base 11) to base 7\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 467*p**2 + 20010*p - 3025. Calculate o(-43).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/r**(-12))\/r**(2\/25)*r\/((r**10*r*r)\/r)*r*r*r*r**(-4)*r*r assuming r is positive.\nAnswer: r**(98\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.3 in 90, 0.3, -4, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 158 - 125. Put g, -3, -4 in descending order.\nAnswer: g, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -7 + 2. Let f be 6\/j*240\/(-18). Calculate the highest common factor of 4 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 130491 divided by 5?\nAnswer: 130491\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.08 - -2.08. Sort b, -2, 5 in increasing order.\nAnswer: -2, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -85 - -90.5. Let x = s - 8.5. Which is the second biggest value?  (a) 0  (b) -2\/7  (c) x  (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 35\/(-42)*-3*4\/30\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -605, -1228, -1875, -2558, -3289, -4080, -4943?\n\"Answer: -2*d**3 - 609*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -33.4 + 33.6. Let h = -0.2 + 2.2. Sort 3, h, l in decreasing order.\nAnswer: 3, h, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3065 divided by 10.\nAnswer: 613\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -89*z + 20400 = -0*z - 29*z. Calculate the remainder when z is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 53155544 (base 6) in base 2?\nAnswer: 101111011101011111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -b**3 - b**2 - b + 2. Let y be f(2). Let o be (-62)\/(-10) + y\/60. Suppose -r - o*r = 0. Solve r = 3*k - 5*k - 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 2217377685?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (0 + (-3)\/10)*2. Let l = -0.1 + 11.1. What is the nearest to 0 in l, y, -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 + 1 = 5*m + 2*s, -9 = -3*s. Suppose -m = -5*d + 19. Let i(g) = -2*g**2 + 43*g - 180. Let z be i(8). What is the highest common factor of d and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 4.717348 to 2 dps.\nAnswer: 4.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of b*m**2 - 87*b - 11*m**2 - 1 wrt m?\nAnswer: 2*b*m - 22*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.098056555797 - 0.5.\nAnswer: -0.401943444203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -c**2 + 2*c - 2. Let b be p(2). Suppose w = -3*f - 2 - 2, 5*w - 10 = -5*f. Put b, 2, w in decreasing order.\nAnswer: w, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1216240 (base 7) to base 8\nAnswer: 460310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1549193489 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 378 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) be the third derivative of -k**6\/60 - 4*k**5\/15 - 11*k**4\/24 - 8*k**3\/3 - 2*k**2 - 4803. Give l(-7).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -2*l + 46. Let i(b) = -5*b + 92. Calculate -4*i(y) + 9*q(y).\nAnswer: 2*y + 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from smmmmmmmmbmbmmmbm. Give prob of sequence sm.\nAnswer: 13\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 196*r - 229*r + 1217370000 = 0. Round r to the nearest 1000000.\nAnswer: 37000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*s\/((s\/(s*s\/(s**4*s)*s))\/s*s))\/(s*s*s\/(s\/s**(-2\/33))) assuming s is positive.\nAnswer: s**(-97\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -123 (base 12) to base 2\nAnswer: -10101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-117)\/26)\/(6\/8). What is the third smallest value in -4, 4, n?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -2*o + 2. Calculate j(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -2*b**2 + 11*b. Let l(p) = -p - 851 + 851. Determine r(l(u)).\nAnswer: -2*u**2 - 11*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*d**6 - 28598613*d**3 - 9037257*d**2 wrt d.\nAnswer: -240*d**3 - 171591678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 488 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*g + 2*y - 13 = 0, -127*y - 29 = -4*g - 132*y for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 150742222 + -150742217.79999978. Let i = h - 4.2. Round i to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 15*o**4 - 57*o**3 + 48*o**2 + 12*o.\nAnswer: 3*o*(o - 2)**2*(5*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -10 + 1 + 0 + 2. Let k(h) = h**3 - 3*h**2 + 2*h + 2. Let y(r) = -10*r**2 + 648*r + 747*r - 1389*r + 4*r**3 + 7. What is t*k(c) + 2*y(c)?\nAnswer: c**3 + c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -3, 2\/63, 0.103?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put together -36813 and 12237.\nAnswer: -24576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -s**2 + 28*s + 518. Does 48 divide t(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 90049860 a multiple of 466?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (660\/(-616))\/((-36)\/(-14))*3\/10.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*f + 11*f = 5*i + 14, 0 = 2*f + 5*i + 12. Let l(r) = 44*r**3 + r**2. Give l(f).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 453 + -160. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:17 PM and 11:34 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2401.4 + 2401. Put x, 2\/3, -2, 42 in increasing order.\nAnswer: -2, x, 2\/3, 42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 (base 13) in base 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 1 p when two letters picked without replacement from {j: 1, s: 3, p: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 11020965983 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(85)*-1 - sqrt(85))*3 - (sqrt(85) + 2*sqrt(85)*6 + sqrt(85)))\/((sqrt(2025) - (sqrt(2025) + -3*sqrt(2025)))\/sqrt(5)).\nAnswer: -20*sqrt(17)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -m**2 + 86489*m - 2593796. Determine r(30).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8800 - 3223 = -13*n. Let z(f) = 2*f**2 - 3*f + 1. Let a be z(2). Calculate the remainder when (-2)\/(-4) + (n\/(-2))\/a is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 51351 is divided by 4187.\nAnswer: 1107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 626 - 381. Suppose 112 = 7*c - b. Does 51 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1015 times -1.7?\nAnswer: -1725.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 72 + -61. Let n(r) = 6*r + 12*r + g + 2*r - 3. Let l(b) = -7*b - 3. Determine 11*l(y) + 4*n(y).\nAnswer: 3*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand 10*m**3 - 13*m**3 - 3*m**3 + (-4*m + 7*m + m)*(1 - m - 2*m**2 - 1).\nAnswer: -14*m**3 - 4*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide -345018 by -6.\nAnswer: 57503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 25 divide 20725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from phhppp. Give prob of sequence pp.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*c + 2*l - 4, l + 0 = -3*c + 2. Let v = 1 - 3. Let w = v - c. Do w and -4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*z**2 - 3*z**3 + 2*z**3 - 4*z**2 + 272 - 3*z**2.\nAnswer: -z**3 - z**2 + 272","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) be the third derivative of d**8\/1512 + 2*d**7\/945 - d**6\/135 - 4*d**5\/135 + 37*d**2. Factor w(v).\nAnswer: 2*v**2*(v - 2)*(v + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v = 17 + 17. Suppose -2*f = -b - 4*b + v, 0 = 3*b - 3*f - 15. Suppose 22*t - 24*t = -b. Solve -t*l = -3*m - 17, -5*m + 10 = -0*l + l for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4457, -8790, -13123, -17456, -21789, -26122?\nAnswer: -30455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -18*s**5 + 66*s**2 - 65*s**2 - 27*s**5 - 3*s**5 + 2*s - 2*s + (4*s**3 - 5*s**3 + 2*s**3)*(-2*s**2 - 2 + 2) - s**5 + 15*s**5 - 3*s**5.\nAnswer: -39*s**5 + s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 2*i**2 + 2*i. Let o be w(1). Let c(u) = u**2 - 3*u - 6. Let a be c(5). Solve -o*x + a + 0 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -1342628, -1342631, -1342634, -1342637?\n\"Answer: -3*u - 1342625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (10\/12*-2)\/((-21)\/1701). What is the highest common divisor of h and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 483641 is divided by 1787?\nAnswer: 1151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*g + 3 = -9. Solve 0 = 5*n - g*m + 31, 2*n - 24 = 5*n - 3*m for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 601 is divided by 269.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out -181 - 54785104.\nAnswer: -54785285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1021 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -k**2 - 2*k - 1. Let o be h(-2). Let l = o + 3. Suppose -10*d = -2*d - 40. Calculate the smallest common multiple of d and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-53*t + 25*t + 26*t + 2)*(2*t + 0*t - 4*t) as q + i*t + p*t**2 and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 162\/60 + 1\/((-2)\/3).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 75383050?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*q**3 - 9771784 + 9771784.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:28 AM and 1:11 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 57.9702 decades to years.\nAnswer: 579.702","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 297*f**3*t**3 + 2*f**3*t + 16*t**2 wrt t?\nAnswer: 1782*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1.86  (b) -3  (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 - 11 + 13885*s + 12.\nAnswer: 13885*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 30348 times 4.9\nAnswer: 148705.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 r and 1 l when three letters picked without replacement from rrrrrrrlrrrrrrrrrrrr.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1 - 0.415?\nAnswer: -0.315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sum 2025391335 and -129851.\nAnswer: 2025261484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 - ((-3)\/2 - (-209)\/264*-3).\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -9772*l**4 - 10273 wrt l?\nAnswer: -39088*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 37\/8129 and 20\/6651.\nAnswer: 73161","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 624*z - 11956 = -1348. Let q(u) = -62*u**3 - u**2 - 2*u - 3. Let s be q(-2). Calculate the greatest common divisor of z and s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -7*t**2 - 10*t - 7. Let j(g) = g**4 - 6*g**2 - 9*g - 6. Let m(h) = 6*f(h) - 7*j(h). Find the second derivative of m(c) wrt c.\nAnswer: -84*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = 704*m - 51303. Give i(73).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 333\/1050592?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 5\/(-30)*0 - (-2)\/4. Let n = -43 - -40. What is the smallest value in 6, h, n, 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 6) to base 14\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -3\/31, -5.34, -2\/9, -2?\nAnswer: -5.34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = f**3 + 15*f**2 + 2*f + 27. Calculate i(-15).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 897 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*d = -2*d. Suppose d*i = i + 3. List the prime factors of (5 + -13)*i\/12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 8167163*b**2 - 8106935.\nAnswer: 16334326*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 3709310 and 3709310?\nAnswer: 3709310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 71891619?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -17.995 to 1 dp.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t*(t\/t**5)\/t)\/t**(-4\/5))\/(t**(2\/3))**(-42))\/((t*t**(-1)*t)**(-17)\/(t*t**(-2)*t*t**6*t*t)) assuming t is positive.\nAnswer: t**(249\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.3 smaller than -519?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -103\/30 and 43\/45?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 32 - 13. Is 19 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 1 y when two letters picked without replacement from wxxwxxwwwyxyxyxx?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -o - 14. Let w be c(-14). Let j = 0 - -4. Suppose w = 7*f - j*f - 54. Is 18 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(2\/7))**46*l*l\/(l*l\/(l*l**(-6)*l))*l*l*l**(2\/19)\/l*(l*l**(-1\/3))\/(l\/(l**0\/l*l))*(l**0)**(-4\/17) assuming l is positive.\nAnswer: l**(3956\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -380*x = -401*x + 84 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 11371371?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1 + 3443334422?\nAnswer: 3443334421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*v - 2 = -6, 7*r - 4*r + 3*v + 3 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*b - 3*b + 59*b**3 - 63*b**3.\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 - (0 + 9 + -6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -140.8 + 141. Suppose -9 + 4 = -4*m + f, 15 = -2*m - 3*f. Suppose -5*z + m*z = 10. Which is the second biggest value?  (a) -2\/9  (b) z  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 2*q - 1. Let s be d(3). Let c(h) = -h - 12. Let f be c(-11). Let m = -184 - -182. Put f, m, s in descending order.\nAnswer: s, f, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - u = -482 + 88, -3*i + u + 1190 = 0. Let b = 400 - i. Suppose 4\/3*r**b - 4*r**2 + 0 + 8\/3*r + 0*r**3 = 0. What is r?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -68 - (-36 - (32 - (27 - -28)))\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -w**2 + 5*w + 6. Let u be v(6). Let k = u - -2. Suppose -3*o = i - 21, 29 = 4*o - k*i + 3*i. Solve 2*z + 0*z - o = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1bec6 - -1?\nAnswer: 1bec7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 124802 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1866816 by 3.\nAnswer: -622272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -13, 2, 3 in decreasing order.\nAnswer: 3, 2, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 1\/7381?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -o**2 + 0*o**2 + 8*o - 3 + 8*o**2 - 3 + o**3. Let p be z(-5). Suppose -p*r + 120 = 2*j, 119 = 3*r - 2*j + 15. Does 16 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 4 - -1. Suppose t*z - 6 = 4. Let i = 3 - 0. Which is the third smallest value?  (a) z  (b) i  (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 118655*u + 118648*u + 118641*u + 118672*u - 474593*u.\nAnswer: 23*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -60 = -5*q - 45. Differentiate 5*m**2 + 141 - 80 - q*m**4 + 215 wrt m.\nAnswer: -12*m**3 + 10*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 - -6 - 5 - (-1 - 3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -467178*m + 880. Let n be h(-40). Round n to the nearest 1000000.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -x**3 + x**2 + 7*x + 6. Give o(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -373 + 1866\/5. Let k = -0.03 - -0.03. What is the second biggest value in k, 3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 88 + -87.5. Which is the nearest to -1?  (a) -2  (b) -26  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (17 - (-5 + 860)\/45)\/((-250)\/(-126) + -2)?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12 - (5 + -1 - -6 - (-6 - -47)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 91320 and 26520?\nAnswer: 20181720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -27 - -134\/5. Let i = -29.644 - -24.644. What is the closest to -2 in i, k, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 98, 211, 298, 359?\n\"Answer: -13*o**2 + 152*o - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*y**5 - 3*y**4 + 3*y**4 + ((3 + 0 - 4)*(-2*y + y + 3*y) + 2*y - y - 2*y)*(2*y**4 - 4*y**4 - y**4).\nAnswer: 7*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 24 + -17. Let k(p) = 2*p**3 + 2*p**2 - 1. Let o be k(1). Let i be 1\/(x\/o + -2). Solve 0 = -i*z - 3*t + 2*t - 8, 5 = 5*z - 2*t for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1184300*t**3 - 132428*t**2 wrt t.\nAnswer: -7105800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -31 = 5*b - 4*n, -b - n = -5*b - 16 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1162*h**2 - 37*h - 824*h**2 + 99*h**2 + 26 - 3*h + 6*h wrt h.\nAnswer: -3774","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -26756 and 2.026182.\nAnswer: -26753.973818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = 27*v**3 + 2*v**2 + 5*v + 7. Let p(h) = -49*h**3 - 4*h**2 - 8*h - 14. What is -3*p(k) - 5*y(k)?\nAnswer: 12*k**3 + 2*k**2 - k + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -1261067*o**3*x**2 - 2112074*x**2 wrt o?\nAnswer: -3783201*o**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -107 or -102?\nAnswer: -102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 89744010 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) be the second derivative of t**5\/20 - t**4\/12 + t**3\/6 + 4*t**2 + 3*t. What is the units digit of s(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*n**3 + 2 - 13*n**2 - 2*n**3 + n**3 + 2*n**3 as s*n**2 + h*n + l*n**3 + o and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -19 + 15 - (-9 + 3 + 1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 28166116338.7 + 9?\nAnswer: 28166116347.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*f + 3*f + 4*f - 2 + 2 - f + 3*f - 4*f + 2*f + (2*f - 2 + 2)*(2 + 1 - 2))*(-1 - 2 + 1).\nAnswer: -14*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 13802 and 1742?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h = 5*u - 3, 0 = -5*h + 4*u + 6 + 36. Suppose -3 = p - h. Suppose -4*w = g + 19, -6*w - 20 = -2*w. Calculate the smallest common multiple of g and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 + 5 - 3)*(3*v - 7*v + 2*v) + (-15 + 15 - 2*v)*(-93 - 157 - 222) to the form q + c*v and give c.\nAnswer: 946","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-19 - 9) + -4 - -21.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 347329 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 78616 a multiple of 124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = 11*w + 9. Let m(y) = -y**2 - 8*y - 3. Suppose p - 4 = 2*q - 3*p, 5*q + 43 = -p. Let n be m(q). Let v(a) = -5*a - 4. Determine n*h(z) - 7*v(z).\nAnswer: 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -354860, -354878, -354908, -354950?\n\"Answer: -6*m**2 - 354854","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -i**3 - 3*i**2 + i - 3. Let l be w(-3). Find the common denominator of (3\/l)\/(12\/123) and -61\/20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -l**2 - 4. Let u(s) = s**2 + 5. Let h(p) = -5*d(p) - 4*u(p). Let k(t) = -t. What is h(k(b))?\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 923316 is divided by 5431.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.12 + -10.88. Let a = t - -10.5. Let z = a + 0.5. Put 1\/3, 1, z in decreasing order.\nAnswer: 1, 1\/3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10 + 16 + 12)*((-m - m + 0*m)*(-3*m**2 + m**2 - 2*m**2) - 103 + 27*m**3 + 103).\nAnswer: 1330*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) be the second derivative of -g**5\/20 - 3*g**4\/4 + 5*g**2\/2 - 134*g. Give k(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1470 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 3317507 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 1, g: 1, s: 2, q: 1, x: 1, w: 1}. Give prob of sequence vgss.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 347305465?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -6*(0 - 9\/6). Let x = y + -6. Suppose -x*s = -3*o + 15, 0 = -6*s + 2*s + 5*o - 18. Which is greater: -6 or s?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -6\/7  (b) -18408.5  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 0 + (-4 - (-2597 + 7 + -14))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1495 - -2153. Calculate the highest common divisor of q and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find b, given that 125*b**4 - 2395*b**3 - 11745*b**2 + 16315*b - 2300 = 0.\nAnswer: -5, 4\/25, 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 93, 244, 503, 876, 1369, 1988?\nAnswer: 2739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1\/6  (b) -41  (c) 6  (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 12462, 17395, 22328, 27261, 32194?\n\"Answer: 4933*b + 7529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 24459, 24325, 24101, 23787, 23383, 22889?\n\"Answer: -45*c**2 + c + 24503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-34)\/(-14) + (-1 - 28\/(-49)). Suppose 5*a + z - 109 = -34, d*a + 2*z = 30. Find the third derivative of -12*k**2 + 43*k**5 - a*k**5 + 4*k**2 wrt k.\nAnswer: 1680*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*u**3 - 319928*u**2 + 639862*u - 319932 = 0.\nAnswer: -159966, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2861 - -28511\/10. Calculate the common denominator of 47\/22938 and g.\nAnswer: 114690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*v = -5*y - 23, -4*y = -v + 2*v + 15 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2 and ((-32)\/6)\/(8\/(-12)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = 20*y**2 + 17*y - 2. Let r(k) = -10*k**2 - 8*k + 1. Let q(z) = 6*d(z) + 13*r(z). Calculate q(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 12058 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 34697*g**5 - 17862*g?\nAnswer: 693940*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 divided by -480.\nAnswer: -1\/480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 7918, 16228, 24538, 32848, 41158, 49468?\n\"Answer: 8310*y - 392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 3\/(-2)*(-4)\/3. Suppose 4*u - 20*u = -176. Let f be (-2)\/8*2*0. Sort u, f, n in descending order.\nAnswer: u, n, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a = y - 63, -270 = 4*y - 9*y + 5*a. Let w = y - 54. Which is smaller: w or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -36 - -35.9. Let y = 0.1 - -0.9. Which is the nearest to r?  (a) -2\/17  (b) y  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.35 or 1?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -29 + 30. Suppose 2*z - 18 + 0 = -4*m, r = -z + 3*m. Let u be 18\/(-45) + 2\/z. Let o(y) = y**2 - y - 13. What is o(u)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*c**3 + c**2 - 9*c**3 + 15*c**3 + c**4 + 2*c + 1 in the form x*c + l*c**3 + v*c**2 + s + i*c**4 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 621.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -w - 5*i - 10 = 5, 3*i - 2 = 2*w + 2 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 67\/4 of a gram in milligrams?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = n**3 + 13*n**2 - 7*n + 18. Let o be i(-13). Let t = -51 - -30. Let j = o + t. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -j**2. Let n(a) = -61*a + 1098. Let o be n(18). Let k(f) be the second derivative of 1\/3*f**3 + o + 11*f + 0*f**2. What is w(k(i))?\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (-76)\/(-95) - ((-34)\/663)\/(10\/(-426))?\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s = -18*s + 800. Suppose -s = -5*i + 10. Is 13 bigger than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -355, -709, -1063?\nAnswer: -1417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -48097 + (2 + -3 - 2). What is c rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 64 = 4*d, -a - 8*d + 4 = -10*d. Solve 3*n + 9 = 0, a*n = q + 23*n + 16 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 2*h**3 + 2*h**2 + 2*h - 1. What is n(-2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5 + 4*c + 5 + 10 - 1 - 6.\nAnswer: 4*c + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -3, 1029, -118, 4, 10 in descending order.\nAnswer: 1029, 10, 4, 0, -3, -118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 38, 49, 64, 83, 106, 133, 164?\n\"Answer: 2*a**2 + 5*a + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 7 - -104547204?\nAnswer: 104547213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -11861, -11892, -11929, -11972, -12021, -12076?\nAnswer: -12137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -2*y - 5. Let l be g(-5). Suppose -l*d + 5*u = -205, -4*u + 9*u - 41 = -d. List the prime factors of d.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 538\/(-1076)*(-36)\/(-390)?\nAnswer: -3\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -3*c**2 + 2*c + 2. Let h(z) = -14*z - 81. Let p be h(-6). What is x(p)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 3162, 3164, 3166, 3168, 3170?\n\"Answer: 2*s + 3160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -165 = -3*g - 4*x, -4*g + 7*g - x = 165. Suppose -3*f = -p + 70, g = -2*f - p - 0. Is (0 + f)*2\/(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c = -2*y - y - 21, -5*c = -y - 29. Suppose -c = -3*f + 6. Suppose -7*w = -f*w - 60. What is the greatest common factor of 40 and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:48 AM and 1:41 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = 37*d + 14. Let y(a) = -47*a - 20. Let f(b) = 5*i(b) + 4*y(b). Let v be (-50)\/6 - (-2)\/6. Determine f(v).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 0.3  (b) -1\/3  (c) -0.2  (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1090 a factor of 107438148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*i - 2*i, w + i = 18. Let z = 7 - 6. Let r be (-8)\/4 + (21 - z). Calculate the highest common divisor of w and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r and 1 y when two letters picked without replacement from rnyrryrrruyyrrnuur.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 10993 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = p**2 - 7. Let o be v(0). Let n = o - -7. Solve a + n + 5 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -3*o + 1. Let w = 2 - 3. What are the prime factors of p(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -705, -709, -717, -729, -745?\nAnswer: -765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11*(11 - 792\/(-11)).\nAnswer: 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-147)\/(-29) - (-106)\/(-1537). Sort t, -1, 6, -7, 3 in descending order.\nAnswer: 6, t, 3, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (240\/96)\/(10\/24)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-68*s - 47*s + 68*s)*(5*s - 5*s - s).\nAnswer: 47*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 161433.\nAnswer: 3, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 5520 divided by 276?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 27409 is divided by 137?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1.81 - -1.71. Which is the biggest value?  (a) 3  (b) 39  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38 = -7*i - 158. Let j be -1*(57 + -1*1). What are the prime factors of ((-72)\/i)\/((-6)\/j)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5867?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 4*w - 7. Let d(v) = -2*v + 4. Let y(x) = 11*d(x) + 6*r(x). Let t(p) = 3*p + 1. Let c(f) = 3*t(f) - 2*y(f). List the prime factors of c(4).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) be the third derivative of -i**4\/24 - i**2. Let x(z) = z. Let k(s) = -4*s. Let d(o) = -3*k(o) - 10*x(o). Determine q(d(w)).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1166 = 4*g + 958. Calculate the lowest common multiple of g and 24.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 29464 + -7167. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*z**2\/7 + 27136*z\/7 + 54256\/7.\nAnswer: 4*(z + 2)*(z + 6782)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Are 3 and -5491 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z + 6 - 4 = 0, 56 = 5*x - z. Solve 37*k = x*k + 130 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine q, given that q**3\/2 - 41*q**2\/2 - q\/2 + 41\/2 = 0.\nAnswer: -1, 1, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 388190 and 7810?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*s - 2*s + 4*s**2 - s**2 - 3.\nAnswer: 3*s**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1.259 - 0.041. Let d = b - -3.3. Which is smaller: d or 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -w**2 - 70*w - 794. What is y(-54)?\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2386946 to the power of 1\/2, to the nearest integer?\nAnswer: 1545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 69263616 to the power of 1\/2, to the nearest integer?\nAnswer: 8322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.81 and 1295.518939.\nAnswer: 1296.328939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 8 - 8. Let w(f) = 5*f**2 - 20*f + 7. Let q(l) = -2*l**2 + 7*l - 2. Let v(k) = -8*q(k) - 3*w(k). Let t be v(-5). Does t = i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((j**(-3)\/j)\/j)\/j*j**(-7))\/(j**(-6)\/j*j*j**(-8)) assuming j is positive.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -9 - -11. Suppose 2*k - 2732156 = -t*k. Let x = k - 258039. What is x rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -s**2 - 33*s + 2717. Calculate y(-71).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (89 - 69 - 95)*(2*x - x - 4*x).\nAnswer: 225*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 1012793 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/72*(-30)\/10?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/(m*(m*m\/(m*(m\/(m**(-1\/6)\/m)*m)\/m*m*m))\/m)*m)**(-12)*m*m*m**(-2)*m*m*m**(-9\/4) assuming m is positive.\nAnswer: m**(-249\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 8 + -6. Let a(s) be the third derivative of 1\/40*s**6 - 1\/20*s**5 - 1\/2*s**3 + 10*s**2 + 0*s + 1\/12*s**4 + 0. What is a(f)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -50 - (-13 + (-9 - (1 - 17))) - 14.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 3\/23, -2\/5, 0.3, 470, -3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = a**3 - 6*a**2 + 10*a - 4. Let v be q(4). Let d(g) = -3*g**2 + g**3 + v - 1 + 6*g**2 + 4*g + 3. Let z be d(-2). Solve -3*m - 4 - z = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/(j\/(j*j**(-14))))**(3\/25)\/(j**3\/(((j**1*j)\/j)\/j)))**(-2\/3) assuming j is positive.\nAnswer: j**(76\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 96782085?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -1.55, 0.2, -2\/9 in ascending order.\nAnswer: -1.55, -2\/9, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g - 1 = -7. Suppose 2*z + 2*p = -2, 4*p - 20 = -8. Let c be (-3)\/(-8)*-2*z. Solve 22 = g*w + 3*w + 3*x, 2*x = -c*w + 14 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1 and -145.\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -371*v - 529174 + 554773 = 0 for v.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2\/(-8) - (-19)\/44. Suppose -2*x - f = -62, -26 = -x + f + 5. Let u = x - 26. Put v, u, -0.3 in decreasing order.\nAnswer: u, v, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (2\/5)\/(23\/(-460)*-2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 35848 divided by 4\nAnswer: 8962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 5*t. Let n(q) be the second derivative of q**3\/6 - 3*q - 2. Let c(u) = -4*k(u) + 22*n(u). Let m(b) = -196*b. What is c(m(h))?\nAnswer: -392*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k = -k - 5*o + 99, 2*o = -6. Let t = 42 + k. Let u be ((-8)\/4)\/((-2)\/4). Solve t*g + u = 16 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1585 or -1568?\nAnswer: -1568","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in seventy-six fifths of a meter?\nAnswer: 1520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*s + 10*s = 23. Let t(b) = 4 - 5*b**2 + 4*b**2 - 22*b + 17. Let x be t(s). Let r(q) = 2*q**3 + 4*q**2 + 3*q + 2. What is r(x)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) be the first derivative of -3033*w**3 - 64*w**2 + 2*w - 2908. Find the second derivative of o(q) wrt q.\nAnswer: -18198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - 2*z + 12 = 0, -2*l = 5*z + 1 - 4. What is the lowest common multiple of 33 and l?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = d**2 + 7*d - 8. Let v be n(-7). Let s = v - -8. What are the prime factors of s - (0 - (2 - 0))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 68504648?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Determine w so that 2*w**3\/5 - 1182*w**2\/5 + 232854*w\/5 - 15290746\/5 = 0.\nAnswer: 197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*z - 80 = 0, -10021 = -2*l + 57*z - 11169 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 9*o + 189. Let z be x(-24). What is the tens digit of 1\/1 - (z - 663)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 y and 2 k when four letters picked without replacement from kykpypkk?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u + 8 = -2*q + 2, 2*u - 3*q = -4. Let g be ((-16)\/8 + u)*(-5)\/4. Suppose -2*v + 2 = 3*c - 2, -44 = -3*v + g*c. Sort 5, v, -4.\nAnswer: -4, 5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -176*q - 7. Let x(p) = -1348 + 449 + 461 + 443 + 117*p. Give -5*j(b) - 7*x(b).\nAnswer: 61*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wwss when four letters picked without replacement from {w: 18, s: 2}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 34 + (-15 - -1 - (-294 - -277)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine c so that c**3\/3 - 8290*c**2\/3 - 266048*c\/3 - 710144 = 0.\nAnswer: -16, 8322","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.34?  (a) 6  (b) 0.09  (c) -4  (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(153) + sqrt(153)*-2))\/((sqrt(81)*-2)\/sqrt(9)).\nAnswer: -sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((0 + 6 + 3)*(2 - 1 + 1) - 6 + 5 + 4 + 4 - 3 - 3 + 1 - 3 + 4 + (0 - 1 + 2)*(2 - 1 - 2) - 3 + 2 + 2)*(1 - 1 - c)*(5 - 4 + 5) to u + m*c and give m.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 143 = 6*j + 11. Let u = -20 + j. Solve -u*m + 0 = 8 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = f + 14. Let b be z(-10). Solve -7\/2*s**2 + 7\/2*s**b - s**3 + 0 + s = 0 for s.\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1.3 + 0.4. What is g rounded to 0 decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 331552328 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -4 - (-14055 + (-1 - 2)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*r**2 - 4*r**2 + 2*r**2 + (5*r + r - 4*r)*(3*r - 11*r + 2*r) + (r**2 + r**2 - r**2)*(-5 + 1 + 2) + r**2 - r**2 + r**2.\nAnswer: -15*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -16.55738 - 0.12062. Round p to 0 decimal places.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((10 + 14 - 11)*(-j + 4*j - j) + 2*j - 2 + 2)*(-j - j + j).\nAnswer: -28*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 36*d**3*f**2 + 394*d**3 - 3*d*f**2 - 404*f**3 wrt f?\nAnswer: 72*d**3*f - 6*d*f - 1212*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:33 AM and 5:09 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -r**2 - 12*r - 11. Suppose -3*c = 2*p - 193, c - 4*p - 46 = -p. Suppose -5*b + 4*f + 16 = c, 0 = b - f + 9. What is the units digit of d(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-85)\/(-17) + (-1 - -3). Solve 0 = -i + 5*u - 20, -3*i - l = 4*u - 4 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2730, -9627, -20694, -35931?\nAnswer: -55338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2\/4*(-1 + -3). Let u be z\/(-9) + 2516\/18. Let l be (24\/14)\/(5\/u). Calculate the greatest common factor of l and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 258055198.\nAnswer: 2, 53, 2434483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -2, 2, 7, 1465 in decreasing order.\nAnswer: 1465, 7, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3 - -15. Suppose 3*v - 42 + u = -3*a, -4 = -v - 3*a. Find the second derivative of -14*f**2 + 8*f**2 - 9*f**2 + v*f wrt f.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 358062 is divided by 6885?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 143 is divided by 83?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = b**3 + 11*b**2 - 2 - 13*b + 2*b - 1 - 4. What is the remainder when g(-10) is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 35 + -33. Let h = 0 - 0. Let g = s - h. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) be the third derivative of 0 + 0*h**5 + 0*h + 3\/2*h**3 + 0*h**4 - h**2 + 0*h**6 + 2\/105*h**7. Differentiate v(s) with respect to s.\nAnswer: 16*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -89*o + 184 + 1228 = 41*o - 798 for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 24*f + 48 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*r + 847 = 867 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/s**0)\/(s**3*s*s))**(-7)\/((s**0)**(2\/63)*s**(-6)\/s*s**(-5)) assuming s is positive.\nAnswer: s**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = r**3 + 7*r**2 - 17*r - 53. What is x(-9)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -233661 + -561?\nAnswer: -234222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 71235 is divided by 801.\nAnswer: 747","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00079967211 to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 34 + 55. Let j = -5 + c. Suppose -5*x + 7*x = j. Is 14 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -156*y + 126. Let t be q(0). What is the highest common divisor of t and 336?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1664077 is divided by 554377.\nAnswer: 946","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*q - 3 = 9 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 36\/(-48) + (-7479)\/(-36) is divided by ((-3 - -1) + 17)\/1?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 3\/6 + 0 - 0. What is the nearest to o in 0.5, -1, 0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4877094 to the power of 1\/2, to the nearest integer?\nAnswer: 2208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.6 - 1. Let d = 320 - 319. What is the closest to d in 0, z, -2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 350, 1120, 2410, 4226, 6574, 9460?\nAnswer: 12890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 294.9309 - -0.0691. Let w = -294.7 + o. Sort w, -0.84, 0.2 in increasing order.\nAnswer: -0.84, 0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 9010*l + 369409. Calculate r(-41).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*d + 3*f - 166, -d + 472 = -2*f + 223 + 213 for d.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 41*p - 6*p = 980. What is the remainder when 138 is divided by p?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) be the first derivative of -6*q - 2 + 1 + 2*q**2 - 3*q**2. Let n(h) = -h**3 - h**2 - 4. Let k be n(0). Determine p(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d + 5*r = -36, 1194*r - 1192*r = -3*d - 10. Let w(u) be the second derivative of 2\/39*u**4 + 0 + 1\/13*u**d + 26*u - 4\/39*u**3. Factor w(l).\nAnswer: 2*(2*l - 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 34\/3 - 12. Do -20 and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -133 + 138. Suppose -t*d - 3*w + w = -395, -2*d - 3*w = -169. What is the greatest common factor of d and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -23 divided by -1\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.1 and 6090.\nAnswer: 6089.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -1446907 divided by 18\nAnswer: -1446907\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 1732 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -377 = -13*c - 2496. Let a = c + 185. Suppose -449 = -4*h + 3*d + 248, 3*h = 3*d + 525. What is the remainder when h is divided by a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2  (b) 6  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 9?  (a) 1.1  (b) -3  (c) 0.213\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 197153333 and -0.032?\nAnswer: 197153333.032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/(-1)*(-3)\/27*(-2)\/(-12)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-7)\/(-35)*6)\/(4\/10). Let g(d) = -101 + 2*d**3 + 4*d**2 - 3*d**3 + m*d + 94. Let q be g(4). Solve -4*o = v - 11, -o + q*v + 13 = -4*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 406 + -36. Suppose 5*t - s - 39 - 316 = 0, a = 5*t + 2*s. Is t at most as big as 72?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -98 + 102. Let n be (698\/x)\/(1\/18). List the prime factors of n\/21 - 12\/21.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 12670966 to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) be the third derivative of 0*u**6 + 1\/1050*u**7 - 1\/1680*u**8 + 0*u**3 + 0*u**5 + 0 + 0*u**4 + 0*u - 3*u**2. Solve p(l) = 0 for l.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 13*j - 13. Let h be m(3). Let p = -4 + h. What is the greatest common divisor of 33 and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 4*j - 443 = 0, 88*j - 12 = 84*j. Calculate the remainder when i is divided by 76.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-32)\/(-280))\/(-1 + (-32)\/(-28)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 254 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -944133 + 944133 - 8*q**2.\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v and 1 y when two letters picked without replacement from {y: 4, m: 2, v: 1, p: 1, e: 1}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -z**2 + 18*z + 13. Let s(v) = -2*v**3 - 18*v**2 + 2*v + 36. Let i be s(-9). Calculate the remainder when 257 is divided by f(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -52\/9 + 443\/72. Is -1 at most as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*z + 24 = 3*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8350.\nAnswer: 2, 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(228)*-2)\/sqrt(12) + sqrt(19) + (sqrt(19) - sqrt(95)\/sqrt(80)) + 4.\nAnswer: -sqrt(19)\/4 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 10878 - 10873. Solve 5*h + 16 = -4*k + 9, -4*h - 2 = c*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 390912038 divided by -2?\nAnswer: -195456019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 7155 + -4447. Suppose b = 15*c - 18*c + 926, -5*c - s = -3*b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 972 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -k**4 + 155*k**3 - 2*k**2 - 573*k + 3 wrt k.\nAnswer: -12*k**2 + 930*k - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t**4 - 2862*t**3 - 886068*t**2 - 80982312*t + 2494510272 = 0. Calculate t.\nAnswer: -326, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5918485*l**3 + 3174847*l**2.\nAnswer: 35510910","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 13.58 and 5?\nAnswer: 8.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -903.1896 - -0.1896. Let j = 903.0921 + d. Round j to two decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2985 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: Express (-410 + 275*g + 410)*(-3*g + 3*g + g) in the form n*g**2 + c + h*g and give n.\nAnswer: 275","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -464*n = 114*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -45 - -200463?\nAnswer: 200415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = 5*y, 4*y + y - 138 = f. Let x = 163 + f. Let n = 4 + 0. What is the remainder when x is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 191429?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1029) - -1*sqrt(1029))\/(sqrt(7) + ((sqrt(63) + sqrt(7))*4 - sqrt(7))) + (-2*sqrt(24)*4)\/(sqrt(512)*1 - sqrt(8) - sqrt(8)).\nAnswer: -11*sqrt(3)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*y - 2*y - 104. Let a = 32 - y. Suppose 4*h - a*h = -3346. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 3 - 102\/42 - 839\/84 and -115\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 5 + -4. Suppose -z = z + 8. Which is greater: s or z?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -174072, -348138, -522204, -696270, -870336, -1044402?\nAnswer: -1218468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) be the first derivative of m**2\/2 + 8. Let g(q) be the third derivative of q**5\/20 + 56*q**2. Determine g(z(n)).\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 46109?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 20144 (base 7) to base 5.\nAnswer: 124013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -5552404 (base 6) to base 7\nAnswer: -2242024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*y**3 + 13*y**3 + 7*y**3.\nAnswer: 13*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 1225486177 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 24*x**2 - 3*x - 3. What is the units digit of l(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 251*w = 119*w + 112*w - 120 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/(-12))\/(15\/30)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 146355300 by 1626170.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q and 2 s when three letters picked without replacement from {s: 14, q: 4}?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 15 = f, 5*x - 5*f - 9 = -4. Solve -2*c = -c + x for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 405331, 810664, 1215995, 1621324, 2026651, 2431976?\n\"Answer: -z**2 + 405336*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t = -c - 236, -3*c - 85 + 262 = 3*t. What are the prime factors of t?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7921.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (1536\/90)\/(-16)*6\/(-8). Which is the nearest to -3?  (a) -0.3  (b) 1\/6  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 minus -12983849?\nAnswer: 12983855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -9 + (-8 - -1 - -13).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4201?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 3, n: 1, v: 3, q: 2, e: 6}. What is prob of sequence ve?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 2\/19, 1629, -3\/5, 4?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n = -3*s - 2 - 1, 6 = -s + 2*n. Suppose 5*f = s*f + 32. Suppose -4*w - f = -2*j - 2*w, 3*j - 4*w - 51 = 0. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 179098 - -493282772?\nAnswer: 493461870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) be the second derivative of -2*k**6\/15 + 9*k**5\/5 + 11*k**4 + 70*k**3\/3 + 24*k**2 - 337*k + 1. Solve z(b) = 0.\nAnswer: -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 6 + -1. Let o = -4 + m. Sort o, 4, -3.\nAnswer: -3, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -25*q - 1691 + 13066. What is the remainder when q is divided by 31?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b**2 - 17111920*b + 222454284 = 0. Calculate b.\nAnswer: 13, 4277967","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.158*-0.3.\nAnswer: 0.0474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -16 + 18. Let n = v + 77. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v - 4*a = 22, -41*v + 37*v - 14 = 2*a. Let t(r) = r**3. Determine t(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*r**2 + 0*r**2 - r**2 + (1 - 4 + 2)*(4*r**2 - 2*r**2 - 4*r**2) as p*r**2 + w + s*r and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -t + 278 = -5*n + 266, 0 = t + 7*n + 12 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 209\/(-114) - 493\/(-261)?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2483613, 4967008, 7450403, 9933798, 12417193?\nAnswer: 14900588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9265441 is divided by 3527.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 40625 and 1875?\nAnswer: 625","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*h = -14*t + 12*t - 8, 3*h + 38983 - 39015 = -5*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -3\/14126 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 5613295295?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(1 + sqrt(2736) + 0 + -3 - (0 + ((sqrt(19) - (sqrt(171) + sqrt(19))) + sqrt(19) + 1)**2 + (sqrt(304) + 0)**2)).\nAnswer: -80*sqrt(19) + 1915","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4 - 2. Let z = 1.9 - -3.1. What is the third smallest value in z, p, -3\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 134.0097 + -134. Let t = -0.3097 + p. What is the fourth smallest value in -4\/7, t, -1\/4, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 0.6196389 centuries?\nAnswer: 0.06196389","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in t - 11 + 68*t - 181*t.\nAnswer: -112*t - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 405 minutes before 9:06 AM?\nAnswer: 2:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -41 - -2. Calculate the common denominator of (-6)\/b + (-172)\/(-52) and 79\/6.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 4 = 1. Suppose -j = 4*f + 14, -4*f - f - 43 = -v*j. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-1)\/1*1 - 1. Let f = 112\/185 - 1\/185. Let p = -0.12 - -0.02. Which is the third biggest value?  (a) f  (b) p  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9 + 24*l - 9 - 40*l.\nAnswer: -16*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (1\/3)\/((-17)\/306). Let i be (-3)\/6 - (-7)\/2. Put r, 2, i in descending order.\nAnswer: i, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 6170*s + 497 + 495 + 498 - 1490 as x*s + o and give x.\nAnswer: 6170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 999 and 12384825?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + 2 + (0\/(-2))\/2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*d + 2, -62 = -7*t + 2*t - 2*d. What is the highest common divisor of t and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4\/6777 or 1?\nAnswer: 4\/6777","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -91 in -1\/2, -4, 1, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 903*m**2*n - 411*m**2 - 20*m + n + 1148 wrt m.\nAnswer: 1806*m*n - 822*m - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2552 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 7dc5 + -1?\nAnswer: 7dc4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - (6 + 2 + (6 - 8)) - -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 152 and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = o**2 + 764*o - 381134. Calculate w(344).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*j - 21*j - 57 = -5*f, 81 = -3*j + 115*f - 118*f for j.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6332 is divided by 3157.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 1 t when two letters picked without replacement from {z: 1, k: 1, p: 1, q: 1, t: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 6075 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = r**3 - 2*r**2 - 3*r + 4. Let g(n) = n**3 - n**2 + n + 2. Let y be g(0). Suppose 21 = y*x - 0*f - 3*f, -x = 5*f + 22. Calculate a(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 11519 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4 by 104890.\nAnswer: -2\/52445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = 4*i - 3*z, -453*z = -2*i - 454*z + 12. Solve i*u = -5*f + 4*u + 2, -5*f - 2*u = -4 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 18\/1*(4 + -3). Is -48*3*(-4)\/w a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = 3*u**2 - 25*u - 113. Calculate p(-4).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c + 74 = -3*n, 2*n + 3*c = -2*c - 41. Let d be (-40)\/140 + (-1 - n\/7). Solve 0 + 1\/4*r**5 - 1\/4*r - 1\/2*r**4 + 1\/2*r**d + 0*r**3 = 0 for r.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -6, 99486, 16 in descending order.\nAnswer: 99486, 16, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-14)\/4 + 3)\/(84\/16). Which is bigger: u or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -13911*m + 13952*m - 697 for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 452, -4, 3 in decreasing order.\nAnswer: 452, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1 - -7. Let y(c) = 3*c. Let j be y(1). Suppose 4*f = 5 + j. Solve -l - f*l = d for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/849 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 1951949 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.057 + 0.249. Let v = i - 0.192. Let a = -44 + -11. Are a and v nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -44 divided by -216149\nAnswer: 44\/216149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 16) in base 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -204, -410, -618, -828?\nAnswer: -1040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = k**2 - 855*k + 31841. Give t(39).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 - 14 = -2*k. Suppose 6*u + k*u = -242. Is u greater than or equal to -21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.5 and 8819.5?\nAnswer: -4409.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3268 and 76.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 10010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(-1*sqrt(10)\/sqrt(2))**2 + 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2 - 3. Let x be (b\/2)\/((-12)\/18). Let h be 1\/4*1*4. Which is bigger: x or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -t + 3*t - 2 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 8\/(-18)*-3*6. Let z(d) = d - 11. Let h be z(k). Sort -1, -2, h in increasing order.\nAnswer: h, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -b. Let s(u) = 6*u + 1. Let v = 140 - 139. Calculate v*s(p) + 5*x(p).\nAnswer: p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*l + 5*g - 67 + 179, -2*l = -5*g - 66. List the prime factors of l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -10*o + 30. What is the tens digit of b(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 159348 and 62132?\nAnswer: 50513316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 946?\nAnswer: 2, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -20176095 divided by 36885.\nAnswer: -547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x**2\/3 + 9770*x + 58600\/3 = 0. Calculate x.\nAnswer: -5860, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 56616 and 1344.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -102*i - 5*h - 6 = -99*i, -i = 2*h + 3. Let p(g) = g**2 + 2*g - 3. Let o(x) = 5*x**2 + 7*x - 10. Let z(j) = -2*o(j) + 9*p(j). Give z(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 14) to base 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2 - -8 - 4 - (1 - -1). Factor -3*a - 2*a + 2*a + r + a**2 - a.\nAnswer: (a - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -315153664*y. Let j(x) = -2*x. Determine l(j(t)).\nAnswer: 630307328*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-3)\/3 - 25\/(-31). Let l = x - -79\/248. Let f = -1.03 + 0.03. Which is the biggest value?  (a) l  (b) -4  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 + -27660207247\nAnswer: -27660207247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 15\/(-60)*3 - (-22)\/40. Sort 4, -56, i, -4.\nAnswer: -56, -4, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-15)\/12)\/(((4\/(-2))\/(-4))\/((-3040)\/(-190)))\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -4*v**2 - 4*v - 3. Let u(m) = -m + 1. Let r(o) = -c(o) - 3*u(o). Let q(y) = y**2 + 2*y. Let z = 3925 - 3918. Calculate z*q(s) - 2*r(s).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 divided by 86.\nAnswer: 3\/86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 1. Let h(c) = -2*c + 10. Let m(x) = h(x) - 12*u(x). Is m(-11) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i = 4*i - 54. Solve 5*x + 16 = -i for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 151584, 151583, 151570, 151545, 151508?\nAnswer: 151459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (1 - 6) + (-87)\/(-1) + -2. Calculate the common denominator of (-84)\/(-15) + -5 + (-543)\/b and -117\/28.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 5, m: 7}. Give prob of sequence zz.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s = 2*v - v + 5, -2*s + 4*v + 16 = 0. Let r(m) = -4*m**3 + 3*m**2 + 2*m - 3. Let o be r(s). What is the biggest value in -0.2, o, -3\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 24915 and 11627?\nAnswer: 174405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 90\/(-48)*((-384)\/60)\/16?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 371 - 370.8. What is the closest to -0.1 in 1\/169, p, -2\/15, -4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 18202728, 36405457, 54608186, 72810915, 91013644, 109216373?\nAnswer: 127419102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:24 PM and 12:48 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 3*(-4)\/24*(19 - 19). Solve x = 8*m + 686 - 662 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 5 in -0.5, 1, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:21 PM and 5:18 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1 and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 139643 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 6 - 6. Suppose k + 1 = -h. Sort k, -4, 3.\nAnswer: -4, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*q + 23*q - 20. Which is the nearest to 0.06?  (a) 4  (b) -2\/11  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 91  (b) 173\/97  (c) -0.06  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 1212 divide 499003480?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = d**2 - 6*d - 3. Suppose 2*i = 6*i + 24. Let u(q) = -q - 1. Let k be u(i). Determine a(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (97 - 94) + (0 - (6 + 0))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = 35 + 3*v + 38 + 0 - 9*v. Let c be y(0). Let o = c + -66. Let q(z) = -z**2 + 7*z + 7. Calculate q(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7.6175493, 0.3, -0.3 in descending order.\nAnswer: 0.3, -0.3, -7.6175493","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -5220.514358 minus -14?\nAnswer: -5206.514358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xellxulullusluxl. Give prob of sequence exl.\nAnswer: 1\/160","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2\/10 + 190\/50. Let h be 3\/(6\/p) + -2. Suppose 0 = -2*d - d - o + 28, h = -3*d + o + 38. What is the highest common divisor of 33 and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:50 PM and 2:43 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -u**2 + 9*u + 1. Calculate the remainder when 39 is divided by n(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 68172409 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = g. Suppose 0*m - 3 = -3*m + i, 5*i = m + 13. Let o(b) = b - 3*b + 2*b + 8*b**m. What is o(l(w))?\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 49*m**2 - 96*m**2 + 50*m**2.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 87*x = 89*x - 8. Let k(z) = -z**2 + 11*z - 2. Let s(p) = -2*p**2 + 23*p - 4. Let o(t) = 7*k(t) - 3*s(t). What is o(x)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -57*h = -22 - 206. Let z be 74\/(-12) + 6 - h\/6. Which is the third smallest value?  (a) 0.2  (b) 3  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15.91105 millennia in centuries?\nAnswer: 159.1105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1589 + -670. Calculate the lowest common multiple of 4 and g.\nAnswer: 3676","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5915 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1\/((3 - 1\/(-2)) + -3). Let i(g) = -7*g - 21 + g**p - 17*g + 29*g. Let o be i(-8). Solve -1 = o*z - 10 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -6*i**3 - 2*i**2 - i. Let g be p(-1). Let x = 1 + g. Suppose -6*r + x + 60 = 0. Calculate the remainder when 32 is divided by r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a\/(a\/(a*a**29\/a)*a))\/(a\/a**(-15)))\/(a*a**(-34))**(-40) assuming a is positive.\nAnswer: a**(-1308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**8\/(w*w*w\/((w\/(w*(w*w\/w**(-3))\/w))\/w)*w))**28 assuming w is positive.\nAnswer: w**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 32 - -1 - 1366305\/41475?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 152360840?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2446 + -1051. Suppose -b = 4*b - f. Is 31 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 1, s: 2, y: 2, e: 1, f: 1, k: 1}. What is prob of picking 1 e, 1 y, and 1 f?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = g**2 + 39*g - 76. Let d = -29969 + 29928. Determine y(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 255259714 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q - 5 = -1. Find the common denominator of 0 - (-46)\/(-32) - q and 33\/10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p = -4*n + 395, 5*n + 2*p + 261 = 763. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1328200 and 9000?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - 245 = 867. Let x = -275 + r. Solve -x*q + 6 = 3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6123197809 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 576986.2 millennia in decades?\nAnswer: 57698620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) be the third derivative of -1\/210*s**5 - 4\/21*s**3 - 19 - 2*s**2 + 0*s - 1\/21*s**4. Factor j(a).\nAnswer: -2*(a + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 (base 8) to base 3\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 67116298.\nAnswer: 2, 37, 167, 5431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 19\/4 + -55\/12. Which is the nearest to -0.1?  (a) 4  (b) p  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -t**3 - 3*t**2 - 3*t - 5. Let l be f(-3). Let n be 2\/6*(-3)\/l. Which is the smallest value?  (a) 3  (b) n  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -40*w + 80 + 120. Find the first derivative of 167*l**2 - 4*l - w*l + 112 + 6*l + 3*l wrt l.\nAnswer: 334*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 156 + -76. Let q = 1.75 - -79.25. Let p = z - q. What is the second biggest value in -1\/20, p, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -69*m**3 - 5*m**2 + 2*m - 7. Let h = 138 - 143. Is c(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10238158893 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = 34*l. Let r(n) = 620 - 308 - 312 + 24*n - 9*n. Give r(m(b)).\nAnswer: 510*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -116, -118, -120, -122, -124, -126?\n\"Answer: -2*j - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 9*a**3*h + a**3 - 76*a**2 + a*h + 532*h + 139 wrt a?\nAnswer: 27*a**2*h + 3*a**2 - 152*a + h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = y**2 - 2*y - 2. Calculate g(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000584927 to 5 decimal places.\nAnswer: -0.00058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 4 - 4. Let h = 19.996 + 0.004. Let o = 15 - h. Put b, o, 0.1 in descending order.\nAnswer: 0.1, b, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -14 - -7 - 3 - -10\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -2*s - 3. Let r = s + 6. Suppose -r*z + 6 = -9. Solve 6 = -3*o + z*w, -2*w = 4*o - 3*o + 5 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -378117037, -378117039, -378117041, -378117043, -378117045?\n\"Answer: -2*f - 378117035","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(4 + (sqrt(605) - (sqrt(605) + -1))**2)*1.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Do 1307 and 1307 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 22760823593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 672 divided by -3?\nAnswer: -224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f = 4*f. Let i be -4 - (f + 1 + -2). Let m be 2\/(-6)*i - 4. Is m not equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 159200 to the nearest 10000.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 867.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-26)\/4 - -8 - (18\/4 + -5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -63 - -62. Let d be (-70)\/56 - 2\/n. Determine r so that 0 - 3\/2*r + d*r**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 49 minutes after 8:45 PM?\nAnswer: 9:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = f**3 + 4*f**2 - 3*f + 2. Let z be d(-4). Suppose 0 = -2*a - 38 + 54. Suppose 0 = 15*i - a*i. Solve -2*b = -i*c + 3*c - z, 5*b - 1 = c for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((j*j*j**16*j*j)\/j)\/(j\/(j*(j*j**(-4))\/j*j)*j*j*j))**(-3\/14) assuming j is positive.\nAnswer: j**(-39\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.03 + -44.03. Suppose -2*i - 1 = 2*i + p, 5*i + 3*p + 3 = 0. Suppose i = -43*j + 47*j. Put v, j, 0.4 in descending order.\nAnswer: 0.4, j, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2)\/9 - 456\/(-108). Let u be (0 + 0)\/((-4)\/(-2)). Suppose u = d*w + 4*r + 4, 5*r = -w + 3*r. What is the closest to 1 in w, -1\/4, -3\/7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 36 - 35. Let k be (-4 + 2\/p)\/(-1). Solve -3*f + 19 = -m, -k*f - 6 = m + 3*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 50.7434t to kilograms.\nAnswer: 50743.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o**(6\/11))**(-28)*(o\/(o**(-29)*o))\/(o*(((o**(-4\/17)*o)\/o)\/o)\/o*o) assuming o is positive.\nAnswer: o**(-2625\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 6*1 + -22 + 18. Let b be ((-4)\/8 - -1)\/((-1)\/(-6)). What is the second derivative of b*j**k + 10*j - 8*j**2 - 5*j wrt j?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = j**3 - 3*j**2 + j - 54. What is the lowest common multiple of 60 and k(6)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 62.32771 kilograms to micrograms.\nAnswer: 62327710000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m + 25 = m. Let d = 5 - 0. Suppose m = -5*y - d. Which is greater: y or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -147 - -126. Let n(x) = -x**3 - 20*x**2 + 19*x + 23. What is the units digit of n(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7053401 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = 26*r + 43. What are the prime factors of f(0)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1506 - 1509. Which is the fourth smallest value?  (a) -2  (b) z  (c) 1\/5  (d) 0.08  (e) -4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 112*y**2 + 271*y - 2. Let a be v(-5). Calculate the highest common divisor of 39 and a.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -624*s**3 + s**2 - 2*s - 2. Is 15 a factor of g(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 16.81 - -55.89. What is s rounded to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 23, 17, 13, 11, 11?\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = 6*y**2 + 91*y + 2063. What is the tens digit of n(-30)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) be the third derivative of -j**6\/120 + 13*j**5\/60 - j**4\/24 + 16*j**3\/3 + 2130*j**2. Determine s(13).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -9876417 greater than -9876417?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 13516309 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 plus 809443627.184?\nAnswer: 809443637.184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.4  (b) -66  (c) -0.19  (d) -1\/253\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 1, l: 2, a: 1, w: 2, v: 1, i: 1}. Give prob of sequence awv.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -17*y - 15 + 28*y - 12*y in the form m + n*y and give m.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2329519 is divided by 2067.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2 + 8. Which is smaller: x or 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.2*5701.1.\nAnswer: -1140.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -5\/2 in 0.054, 5, 2, -4, -3\/8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 1 d when two letters picked without replacement from {b: 1, d: 3, h: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -257, -5, -2, -3, 7 in descending order.\nAnswer: 7, -2, -3, -5, -257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1216 and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 21 + -40. Let w be b + (2\/2 - 5). Let a = w + 25. What is the highest common divisor of a and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 551398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 97253 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/(7*(-168)\/(-98)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26 = r - 4*r + 2*a, -3*r - 11 = -5*a. Calculate the least common multiple of 125 and (r\/7)\/((-66)\/(-14) - 5).\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 10*u**2 + 244*u - 228. Calculate the least common multiple of v(-26) and 10.\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -263*v**3 - 2*v**2 - 724*v wrt v?\nAnswer: -1578*v - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11 - (2 + -1 - ((29 - 11 - 32) + 78)).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16.529*-0.4.\nAnswer: -6.6116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(1\/12)\/o)**(2\/49)\/(o*(o*o**14)\/o)**8 assuming o is positive.\nAnswer: o**(-35291\/294)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 283*y - 286*y + 6 = -15. Solve -10 = -5*x, -3*z + y = -13*x + 12*x for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of f**3*i*v**2 - 3*f**3*i*v + 381*f**3*i - 83*f**2*v**2 - 24*f*i - i*v**2 wrt f?\nAnswer: 6*i*v**2 - 18*i*v + 2286*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 1 = -l + 4, 4*l = -k + 20. Suppose -f - o = -k*f - 2, 6 = 2*o. Is f bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6389664191 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-15)\/10*(-2)\/3. Let x(k) = -26*k + 156. Let u(g) = 1. Let w(a) = q*x(a) - 156*u(a). Let p(m) = 2*m**2. Give w(p(l)).\nAnswer: -52*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 221, 211, 191, 155, 97, 11, -109, -269?\n\"Answer: -l**3 + l**2 - 6*l + 227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of 3.79 and -0.4.\nAnswer: -1.516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -62 - -125. Suppose 41 = 3*q + 5*m, 5*q + m - 20 - t = 0. Solve q = 4*b + 5 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 + 4 + 1 + 8*z**2 + 10*z**2.\nAnswer: 18*z**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1523322 + 164?\nAnswer: 1523516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 61776 divided by -4?\nAnswer: -15444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-260)\/78*1\/(-5)*3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = f**2 + 14*f - 1. Let t(x) = 6*x**2 + 98*x + 41. Let y(v) = -7*p(v) + t(v). What is y(-7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -1.3  (b) -5  (c) 12  (d) -0.87\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.0039 and -406.\nAnswer: 1.5834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 65 a factor of 275263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 2, n: 3, a: 2, h: 2}. What is prob of sequence nk?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (4\/12)\/(1\/9). Let g(k) = 3*k**2 - k**3 - 4 - 8*k + s*k + k + 6*k. What are the prime factors of g(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.1 + 0.13. Let y = -43 - -51. Suppose y*n = 9*n - 4. Which is the nearest to 1?  (a) n  (b) z  (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1  (b) 62  (c) 31  (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*i = 203*t - 206*t - 74, 4*i + 8 = -t for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1047698?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22 = d + 4*a, 0*d + 4*a = 2*d - 16. Let q be 2\/(((-2)\/16)\/(7\/d)). What is the highest common divisor of 28 and q?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 94920818?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (11 - (43 - 17)) + (-4 + 1 - 7)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:58 AM and 9:58 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in i**2 - 7*i**3 + 9*i**2 - 10*i**2.\nAnswer: -7*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -5*j + 10. Let d be n(-8). Suppose -8*q = -3*q - d. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -65 - -1a99a14?\nAnswer: 1a9995a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1.98 + 0.12. Let h = 2.7110355 + -0.611034. Let i = s - h. What is i rounded to 7 decimal places?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-6)\/(-21) + (-8)\/((-1120)\/6372). Let b = i - 192\/5. Which is smaller: 8 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + 3*w - 61 = 7, 4*w + 16 = 0. Is h a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 372 minutes before 6:58 AM?\nAnswer: 12:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 21689 and 164.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 163\/612 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**21*x*(x*((x\/(x\/(x\/(x\/(x**(-1)\/x)))))\/x)\/x*x*x)\/x*x**(-2\/15)\/(x\/(x**(-7)\/x*x)) assuming x is positive.\nAnswer: x**(178\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -2320382.245 minus -0.6?\nAnswer: -2320381.645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o\/(o*o*o**(2\/9)))\/o)\/o**(5\/4) assuming o is positive.\nAnswer: o**(-125\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 1 z when two letters picked without replacement from zpjye.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 13) to base 5\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*m**4*p**3 + 11*m**3*p**3 + m**2*p - 18*m*p**3 wrt m?\nAnswer: 48*m*p**3 + 66*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (1 + 35\/(-30))\/(40\/80). Let q(s) = s**3 + s**2 - s - 2. Let l be q(0). What is the nearest to b in -0.2, -4, 1\/3, l?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -668 - 12?\nAnswer: -67a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = n**2 - 2*n + 2. Let p(m) = -7*m**2 - 12*m - 102. Let k(c) = -6*o(c) - p(c). Let g be k(-5). Sort -8, g, 0 in decreasing order.\nAnswer: 0, g, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20 - 33 + 14 + 52 - 3*s - 13.\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1010001111001100100 + 101?\nAnswer: -1010001111001011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-21)\/3 - 2 - -15. Sort -4, g, -0.3, 4\/7 in decreasing order.\nAnswer: g, 4\/7, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 11493?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -355, -718, -1083, -1450?\n\"Answer: -o**2 - 360*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2379589.\nAnswer: 2379589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -2*m + 1. Suppose k - 1 = -2. What is the lowest common multiple of w(k) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d = 5*c - 10 + 30, 20 = 3*d - 5*c. Solve 2*y - 4*o = -7*o + 5, 5*y - 5*o = d for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3248*s - 552 = -3224*s. Let a(n) = -6*n - 141. Determine a(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2.19 - 0.19. Let r = 9 + -5. Which is the nearest to -1?  (a) r  (b) -0.1  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k + 135 = 889. What is the tens digit of -1 + k - (-1 + 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*h**4 + 3*h**4 - 4*h**4)*(5*h - 5*h + 2*h) + (0*h**3 - 7*h**3 - 4*h**3)*(18 - 18 + 6*h**2).\nAnswer: -62*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 7 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*c**2 - 60217 + 30100 - 19*c**4 + 6*c + 30114 as a*c**3 + y*c + g*c**2 + b*c**4 + w and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 18625 + -9171. Is 29 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 103410 to the power of 1\/2, to the nearest integer?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.03 - 0.33. What is the nearest to b in -3, -1\/4, 5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) be the first derivative of -3*f**4\/16 + 5*f**3\/4 - 3*f**2\/2 + 59. Factor n(v).\nAnswer: -3*v*(v - 4)*(v - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 - a**2)*(-2*a + 3*a + 3 - 2)*(5*a - a - 3*a).\nAnswer: -a**4 - a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 54 and 30?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) be the third derivative of n**8\/21 + 4*n**5\/15 - 14*n**2. Find the third derivative of d(l) wrt l.\nAnswer: 960*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2018 divided by 128074\nAnswer: 1009\/64037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -c**3 - 12*c**2 - 31*c - 5. Determine f(-6).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -f**3 - 2*f**2 - 2*f - 32. Let k(j) = j**3 + j**2 + j - 1. Let u(w) = -a(w) - 2*k(w). Let c be (-2 + 2)\/((25\/5)\/(-5)). Is 13 a factor of u(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26*s = 3*p - 145, -3*p = -s + 4*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -3373, -3279, -3201, -3139?\n\"Answer: -8*v**2 + 118*v - 3483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/(-15))\/((20\/12)\/(-5)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -805 or -804?\nAnswer: -805","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 76 minutes after 9:38 PM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 2\/7, -36, -4, -0.5, 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 405 + -264. Calculate the remainder when q is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 29364496 divided by -7\nAnswer: -4194928","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -6894 - -7016. Solve 35*o + l = -88 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 5*h**2 + 30*h - 11. Let i(x) = -2*x**2 - 10*x + 4. Let g(w) = w**3 + 7*w**2 + 5*w - 10. Let p be g(-6). Determine p*s(u) - 11*i(u).\nAnswer: 2*u**2 - 10*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 1842, 13809, 46142, 109023, 212634, 367157, 582774, 869667?\n\"Answer: 1697*s**3 + s**2 + 85*s + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -1. Let s = -8 + 12. Let r = -6 + s. Let x be -2 - -2 - (r - 0). Let v(p) = p**2 - 3. Give x*v(d) - 7*f(d).\nAnswer: 2*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 764359300 to the nearest integer?\nAnswer: 914","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 166349 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 122340 and 122340.\nAnswer: 122340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -390*t**2 + 2341*t - 6. Give f(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*z + 5*z - 978. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*k - 3*k + 2*k**2)*(-k + k + k) + (-3*k**2 + 4*k**2 - 2*k**2)*(12*k + 14*k - 6*k) in the form g + w*k**3 + t*k**2 + u*k and give w.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -c652 (base 14) to base 11\nAnswer: -2374a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y - 4*u + 18 = -1, 11 = y + 2*u. Suppose 0 = -y*l - 4*o - 6, -3*l + 3*o + 17 = l. Put l, 0, -3 in descending order.\nAnswer: l, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 3 and -28.2?\nAnswer: -84.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = 9040*g - 216835. Calculate x(24).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**(4\/9)\/d)**(-1\/13)*(d**14*d)\/(d\/(d*d\/(d**(4\/3)*d)*d*d*d)*d))**(2\/9) assuming d is positive.\nAnswer: d**(3676\/1053)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o + 3*r - 51 = -o, -5*o + 102 = -r. Let s = -22 - -33. What is the remainder when o is divided by s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 121, -1, -81, -0.2, -3 in descending order.\nAnswer: 121, -0.2, -1, -3, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = 2*f - 5 + 5*f - 47*f**3 + 46*f**3 + 2*f + 7*f**2. Let y be s(8). Which is greater: 16\/9 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 - 3 - 3966*s + 17917*s + 5.\nAnswer: 13951*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13 = w - 3*n, 11*w - 8*n + 7*n = 48 - 65 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-56)\/(-3) - (-2)\/(-3). Suppose -2*a - c = -5*a. Let z = 88 + -22. Calculate the highest common divisor of a and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) be the third derivative of l**6\/120 - l**5\/12 + l**4\/24 + 19*l**3\/6 + 20*l**2. Let v be u(5). Suppose 0*y = -8*y + v. Solve y*m = 4*m + 2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -211, -112, -13, 86, 185, 284?\nAnswer: 383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 2746, 2934, 2994, 2926, 2730, 2406?\n\"Answer: -64*n**2 + 380*n + 2430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1\/112 + 169\/112. Sort -1.1, r, -4\/7.\nAnswer: -1.1, -4\/7, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i = 4*i. Suppose i = -5*y - 4*d + 5 + 5, -2 = -y + d. Suppose 0 = 3*p + 2*p. Solve 2*f + 2 = y*c - p, -4*c + 22 = 2*f for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1351 - 1353. Let t(w) = w. Let b(d) = -12*d - 1. What is y*b(s) - 22*t(s)?\nAnswer: 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = i**3 - 8*i**2 - i + 19. Suppose 5*f + 2*r - 38 + 2 = 0, -2*f = 5*r - 6. Calculate j(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(72) - ((1*(sqrt(72) + sqrt(72)*-2 - sqrt(72)) - sqrt(72)) + sqrt(72) - sqrt(72)))\/sqrt(9).\nAnswer: 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 20827 is divided by 632?\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 50375394 and 16791798.\nAnswer: 50375394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*u = -2*j - 4, 5*u - j = 24 - 22 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12161 is divided by 303.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) be the first derivative of -n**3\/3 + n - 11. Calculate x(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 248*m**2 - 457*m**2 - 458*m**2.\nAnswer: -667*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.07 - 0.06. Suppose 4*x = -x. Suppose -3*m = -2*v - 18, 5*v - 3*m + 10 + 17 = x. Sort g, 3, v.\nAnswer: v, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - v - 79 = 3*y, -5*v = -2*y - 49. Let p be (-4)\/(8\/10) - -2. Does 6 divide y\/p + 2\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -42944 - -42947. What is the fourth biggest value in -11.4, 2, k, -0.3?\nAnswer: -11.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1.1 - 5.18. Let o = -1.4 + r. Round o to 0 dps.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1643 - 1646. Let r(u) = -4*u**2 - u + 4. Let w(t) be the second derivative of -5*t**4\/12 - t**3\/3 + 5*t**2\/2 - 38*t. Calculate a*r(j) + 2*w(j).\nAnswer: 2*j**2 - j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = r + 15. Let d be s(8). Let h = -21 + d. Solve -3*j = -2*j + 3*k + 10, -h*k = 4 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -18*i**3 - 11*i**2 - 8*i + 6. Let t(x) = 2306*x**3 - 4*x**2 - 1 - 1154*x**3 - 1158*x**3 + 3 - 3*x. Give -4*k(m) + 11*t(m).\nAnswer: 6*m**3 - m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 138927.\nAnswer: 3, 46309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + sqrt(102)\/sqrt(6) + -1 - (-5 + -1*sqrt(1700) + sqrt(1700) - sqrt(1700)).\nAnswer: 6 + 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -5*l**2. Let y(t) be the third derivative of -t**4\/24 + 13*t**2. What is y(a(w))?\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2707 - -46171. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -154 + 166.4. Let y = 7.4 - i. Which is the nearest to y?  (a) -1  (b) 0  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = 625 + 10*k - 3*k - 632 - k**2. Let w(z) = z**3 + z**2 - z + 6. Let j be w(0). Calculate f(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1.5 > 1\/77811?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 2*y + 12. Let r be q(-6). Suppose r = -3*h + 9. Differentiate 12 + 4*g**4 - h - 3*g**4 - 10*g**4 with respect to g.\nAnswer: -36*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 113 + -108. Suppose -5*j = i*u - 6374 - 32101, -2*j + 15385 = 3*u. What is j rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*n = -94 - 53 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 116 - 121.7. Let g = 0.7 + m. Which is the nearest to 2\/7?  (a) 0  (b) g  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from oodooooooooddo.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 5030 and 36470.\nAnswer: 18344410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 134 divide 23799?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 2, p: 10}. What is prob of sequence zzzz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -52807, -52862, -52917, -52972, -53027?\nAnswer: -53082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z - n - 15 = 0, -5*z = -3*n - 5 - 10. Solve -3*b - 9 = z*h, -2*h - b = 4*b + 15 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -w**2 - 26*w - 88. Let l be v(-22). Solve l*c - 4*c = 4*u, -u = 2*c + 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13896087 a multiple of 131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (112\/(-98))\/(260\/5915)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2822 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: Let a = -0.092 + -0.068. Is a < 0.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -9.5 + 9.1. What is the smallest value in 14, -5, o, 1\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 200 and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 2*0.1621\nAnswer: 0.3242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 5*o**2 + 3*o - 3. Give k(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 65018 a multiple of 118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -10027, -9859, -9691, -9523?\n\"Answer: 168*x - 10195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 118378636345 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-3\/10)*m)**(-8\/3)\/(m**(1\/2)*m)**(-9\/5) assuming m is positive.\nAnswer: m**(5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = m**3 - m**2 - m. Let y(p) = 8*p**3 - 15*p**2 - 9*p. Let o be (-4)\/((-8)\/(-3))*-6. Suppose 4*u = o*u + 90. Let g(z) = u*k(z) + 2*y(z). Factor g(f).\nAnswer: -2*f**2*(f + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 41183280 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -t - 1. Let u(b) = -b + 2. Let s(i) = u(i) + z(i). Let r(m) = 3*m - 2. Let a(q) = 5*r(q) + 8*s(q). Differentiate a(h) wrt h.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:57 AM and 8:34 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-25)\/(1*(2 - 3)). Let l = 2 + w. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -3*a. Let u(s) be the first derivative of -125*s**2\/2 - 33. Determine u(x(q)).\nAnswer: 375*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -62*y**3 - 8*y**2 - 33. Let s(h) = -246*h**3 - 35*h**2 - 132. Determine 3*s(q) - 13*t(q).\nAnswer: 68*q**3 - q**2 + 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000974458 rounded to four decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i = 21*n - 504 + 483, -5 = -3*i + i - 2*i - 5*n for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -j**3 - j + 3. What is the units digit of i(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*v - 0*v - 3. Let k(i) = 367*i - 19. Let s(t) = -t - 1. Let a(q) = v*k(q) + 2*s(q). Is a(14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -o**3 - 2*o**2 + o - 3. Suppose -2*c + f = 3*f + 6, 0 = 4*c - f + 12. Let h be b(c). Solve h*v = v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.033 + 0.253. Let j = 0.02 - c. Let p = 0.02 - 4.02. What is the nearest to 4 in 4, p, j?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (1\/(-3))\/((-23)\/(-161))*-3. Solve 8*f = 17 + n for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9131865596*a - 137*a**2 - 9131865596*a.\nAnswer: -137*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*b = -f - 12, 0 = f + f - 3*b + 2 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 37908640 is divided by 3693.\nAnswer: 3688","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 14.53 from -20.4.\nAnswer: -34.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 times 0.086?\nAnswer: -0.946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1010 (base 2) to base 7.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -3840 times -50.6?\nAnswer: 194304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 382248 to the power of 1\/3, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 2, r: 2, o: 1, h: 1, l: 1}. What is prob of picking 1 o, 1 r, and 1 l?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide 6880 by 172.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = 9*i - 4*i + 0*i**2 - i**2 - 1. Let o be j(4). Suppose -4*g + 0*g - 3*d + 35 = 0, 0 = -o*d + 3. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2684868 by 223739.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -d - 3. Let m = 124 - 121. Determine b(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -f - 1. Let z(o) = 7*o + 7. Let y(u) = -3*k(u) - z(u). Let h(i) = -2*i. Calculate y(h(r)).\nAnswer: 8*r - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from ssswswwwwwwwswww.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 11 from 3.84.\nAnswer: -7.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -29949 - -45936. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -r**5 + 5*r**4 + r**3 - 2*r**2 + 3*r + 3. Let t(a) = -3*a**5 + 11*a**4 - 3*a**2 + 5*a + 5. Let p(x) = 3*t(x) - 5*z(x). Factor p(i).\nAnswer: -i**2*(i - 1)*(2*i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 40 = -4*y, -47*y - 42 = 2*p - 0*p - 43*y for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2908?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (47 - 2) + (1766 - 1849).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1\/2 + 21\/14. Suppose 2*m = -n*m. Suppose 2*o + 0*o + c - 55 = m, -3*c + 87 = 3*o. Calculate the remainder when o is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*g - 5*b - 35 = 0, -3*b + 6 - 15 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 65 + -53. Suppose 40 = 5*r + 5*n, 5*r - x = n + 16. Which is the nearest to 0?  (a) r  (b) -5  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 122411 by -6.\nAnswer: -122411\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 5*b**2 + 7*b + 5. What is the hundreds digit of q(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = 7*w**2 + 3*w + 3. Let h(m) = 52 + 33*m + 43*m - 21*m + 120*m**2 - 3*m. Determine -6*h(o) + 104*p(o).\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*v - 1176 = -163*v for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 579 a factor of 8092995?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 7937, -0.39 in ascending order.\nAnswer: -0.39, 3, 7937","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-53)\/4*(-12)\/27 and (-1)\/(-8)*567\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 384413?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + 2*sqrt(325) - (sqrt(325) + (sqrt(325) + -1*(sqrt(325) - ((sqrt(325) - (-3*sqrt(325) + sqrt(325))) + sqrt(325))))**2))*-1*-5 + -4.\nAnswer: -25994 + 25*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.83 + 0.93. What is the second biggest value in -5, f, 3, -17?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - t - t - 516 = 0, 0 = -4*a + 3*t + 514. Calculate the greatest common factor of 52 and a.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = j - 4. Let y be p(8). Suppose -y*a + 70 = a. Suppose 0*v = v - a. Does 14 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2  (b) -4\/7  (c) -4\/117\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 2, 144, -1, 5, 4, -605 in increasing order.\nAnswer: -605, -1, 0, 2, 4, 5, 144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 5489501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -97\/8 and 51\/140.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 180352 to the nearest integer?\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -113 - -117. What is the remainder when 38 is divided by (-12)\/x + 3 + -7 + 21?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -9.043 > -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:59 AM and 7:31 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 1336, -7, 0, -19 in increasing order.\nAnswer: -19, -7, -5, 0, 1336","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Product of -15715 and -1.83.\nAnswer: 28758.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 1572715 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*k**2 + 3*k**2 + 0*k**2 + (-2*k + k + 3*k)*(k + 3*k - 3*k + (3 + 1 - 6)*(k + k - k) + k + 0*k - 3*k - 63*k - 150 + 150).\nAnswer: -131*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express -256*u - 48*u**2 + 129*u + 127*u in the form k*u + j + h*u**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -2\/9, 3\/5, -1, -1\/6, 3, -3416?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 729214459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 5 = 7. Suppose 52 = -281*y + 269*y + 196. What is the greatest common divisor of h and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1.59 + 0.19. Let i = -162 - -164. Sort i, -0.4, n in descending order.\nAnswer: i, -0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 39 a factor of 37284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = 4*m + 7. Let x be s(6). What is the units digit of x\/5 + 1\/(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -1 + -2 + -1 + 1 + 7. Solve 0 = -2*y - n*f + 1 + 1, -y - 5*f = -7 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 38 - 10 - (-73 - -79)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 7*l**2 + 128*l + 1005. Calculate n(-8).\nAnswer: 429","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 126 and 2271654?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = 15770*i - 94604. What is s(6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -54105302 (base 6) in base 9?\nAnswer: -3001262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 6 and 210?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 46 + (14 - 67) + -38?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4706*o**3 + 2151*o wrt o?\nAnswer: -28236*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -9 - -11. Suppose 0 = -0*u - s*u + 32. Let w = u - 7. Solve 0 = 5*c - w - 16 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*t - 344*t - 71894 + 71894 + 2087*t)*(3 + 2 - 4) to the form l*t + p and give l.\nAnswer: 1746","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (30\/(-1080)*27)\/(4\/(816\/(-3)))?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -197, -230, -269, -314, -365, -422?\nAnswer: -485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -0.002, 0.3, 12.5 in decreasing order.\nAnswer: 12.5, 5, 0.3, -0.002","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 613681 to the power of 1\/2, to the nearest integer?\nAnswer: 783","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -89*x = -216*x + 591 + 171 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2 + -3. Let r be -8 - -5 - 16\/(-24)*(-27)\/6. Is i != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1 + 22200202120021?\nAnswer: 22200202120020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 5*j**2 + 654*j + 34343. Let c(g) = -11*g**2 - 1314*g - 68684. Let q(f) = -2*c(f) - 5*l(f). Factor q(p).\nAnswer: -3*(p + 107)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*i + 2*i - 7*i)*(-3 + i + 3) - 4*i**2 + 4*i**2 - 5*i - 2*i**2 to z*i**2 + t*i + x and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -673900 to the nearest one thousand.\nAnswer: -674000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.2765 and -6.6.\nAnswer: -1.8249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 7615494 to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 140 - 133.9. Let w = -1.1 + h. Let g be (3 + 0)\/((-15)\/10). Which is the nearest to -1?  (a) -1  (b) w  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 102 and 4662?\nAnswer: 79254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 7, 28, -5 in ascending order.\nAnswer: -5, 7, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Determine b so that b**3\/4 - 64991*b**2\/2 + 31008337*b\/4 + 7784580 = 0.\nAnswer: -1, 240, 129743","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -20, -110, -324, -716, -1340, -2250, -3500?\nAnswer: -5144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -40488  (b) 0.3  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -5*j - 9. Let b = 7 - 5. Let w(s) = 4 + 5*s + 1 - b*s. Let u(d) = 2*f(d) + 5*w(d). Differentiate u(g) with respect to g.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = 3*o**2 - 2 + 2*o**2 - 6*o - o**2 + o**3. Let k be c(-5). Solve b - k*b - 4 = i, -4*b - 8 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -126*c**2 + 247*c**2 + 7*c + 2 - 122*c**2. Let d(y) = 3*y - 44. Let r be d(17). Give f(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -8.26 + 8.2599413. What is u rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -8311*h**4 + 5*h**3*y**2 - 2*y**2 + 41127*y wrt h?\nAnswer: -33244*h**3 + 15*h**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1272438?\nAnswer: 2, 3, 223, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -l**3 - 5*l**2 - l + 4. Suppose 0 = 5*b + 2*o - 12, -2*o = -4*b + 16 + 8. Suppose z - b = 2*j, 7 + 5 = -4*z + j. What is s(z)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + sqrt(13) + 1 + (sqrt(104)*2)\/sqrt(8).\nAnswer: -2 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b = -4*n + b - 3113, -n = -5*b + 797. Let z = -453 - n. Is 14 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -48\/619 and 173\/159450?\nAnswer: 98699550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 23*g*k**3*n - 3*g*k**3 - 141*g*k**2*n**2 + 3*g*k**2*n - 15*k**3*n**2 + 12*k*n wrt n.\nAnswer: -282*g*k**2 - 30*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 1\/4, 1, 209 in ascending order.\nAnswer: 1\/4, 1, 3, 209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -407, -1346, -3739, -8264, -15599, -26422, -41411?\nAnswer: -61244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:54 AM and 3:03 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 4583 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 789686800 rounded to the nearest 1000000?\nAnswer: 790000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kykkkky. What is prob of sequence kk?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 2156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express 9*k + 2 + 6*k - 2*k**2 + k - 16*k - 25*k**3 as r + p*k**3 + o*k + z*k**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 3162, 3158, 3152, 3144, 3134?\n\"Answer: -f**2 - f + 3164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 49747541?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = 4*j**2 - j. Let i be o(1). Let k = 1 - i. Let s(p) = p**3 - 4*p - 3. Let v be s(k). Sort -5, v, 1 in descending order.\nAnswer: 1, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 122*p**2. Let x(q) = 10070*q. What is x(o(w))?\nAnswer: 1228540*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (2 - 2 - -2) + 1. What is the second derivative of -5*m**3 - 5*m + 3*m + 2*m**v wrt m?\nAnswer: -18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 * -130613\nAnswer: -130613","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/(1\/(-2)))\/(780\/(-26)).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = d**3 + 11*d**2 - 9*d + 38. Suppose 3*f + 14 = 3*u - 25, -3*u = 5*f + 57. Let t be q(f). Factor -2*k**3 - 195 + 195 - 2*k**2 + 2*k**4 + t*k.\nAnswer: 2*k*(k - 1)**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b + 4*n - 144 = 0, b + 259*n = 261*n + 48. Calculate the greatest common factor of b and 356.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24*j + 16*j**2 + 5*j + 17*j.\nAnswer: 16*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 708 minutes after 9:33 AM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 68\/18 - (-20)\/90 - -392. Suppose 0 = -6*h - 12*h + c. Solve 0*l = 5*a - l - h, -2*a + 2 = 3*l for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 837 and 10260.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 3, v: 4, e: 1, k: 3, d: 3, y: 1}. What is prob of sequence dv?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -61*p**3 - 7*p**2 - 45*p - 5. Let b be 9 + -16 + 7 - (-1 - -5). Is c(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fggggf. What is prob of picking 1 f and 2 g?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 48*m - 17 + 517 = -52*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -12 by 3554.\nAnswer: -6\/1777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from klksllbkbklkkk. Give prob of picking 1 s and 1 b.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 3, 2\/7, 7.25, 4, -3 in increasing order.\nAnswer: -4, -3, 2\/7, 3, 4, 7.25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -r**2 + 9*r - 4. Let l be d(8). Suppose -47 = 3*w - a - 10, 2*a = -l*w - 66. Let q be ((-72)\/w)\/((-6)\/(-63)). Round q to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.6443*-5.8\nAnswer: 3.73694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 77*u - 3*u + 692 = 1136. Sort 25, u, 0, -4, 1.\nAnswer: -4, 0, 1, u, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((j**(-28)\/j)\/j)\/j)\/((j*j**(3\/8))\/j*j))\/(j**(1\/4)*j\/(j*j**15)) assuming j is positive.\nAnswer: j**(-141\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) be the second derivative of -t**7\/840 + 7*t**6\/360 - 3*t**5\/40 + 3*t**4\/8 + 2*t**3 - 20*t. Let f(c) be the second derivative of u(c). Calculate f(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 247 divide 5900830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*(j**(1\/4)*j)\/j*(j*j*j**(2\/11)*j*j*j)\/j*(j*j**1*j*j)**(-2\/9))\/((j*j*j*j**0\/j*(j*j\/j**(-2)*j)\/j)\/((j**(2\/7)\/j)\/j)**(6\/7)) assuming j is positive.\nAnswer: j**(-56785\/19404)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1002201022 (base 3) to base 5.\nAnswer: 1143122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -g**3 - 4*g**2 + 15*g + 20. Let q be f(6). Let j = q + 252. Sort 0, j, 39.\nAnswer: 0, j, 39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 40895 divided by -620\nAnswer: -8179\/124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:38 PM and 9:50 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 316?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -612, -1249, -1886, -2523, -3160?\n\"Answer: -637*j + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 750.0772 to one dp.\nAnswer: 750.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 33257?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -121010 - 1111010010?\nAnswer: -1111201020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 10942, 43800, 98550, 175180, 273678?\nAnswer: 394032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 71 = 2*x - 3*c, 3*x = 9*c - 6*c + 111. Let k be (-2)\/(8\/(x + -8)). Let n(p) = p**3 + 7*p**2 - 9*p + 11. Give n(k).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-29 + 24)*(-14)\/5. Suppose -54 = -n*r - 26. Solve -5*z + z - 10 = r*m, -5*z + 5*m + 10 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8 + (-29 - (0 - 3)) + 8.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*y - 124 = -29. Solve u = 2*i - 9, u = -2*u + y*i - 24 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -3\/16, 3\/5, 2\/13, 0.1, -44, -3?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 186035*s - 93017*s - 93019*s - 27*s**3 - s**2 to the form j + i*s**2 + l*s**3 + n*s and give l.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 divided by -47?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -319\/6 + 53. Let c = -9 - -7. Sort r, c, -1\/4 in ascending order.\nAnswer: c, -1\/4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 83*b**3 - 3595*b**4 + 2*b**2 + 3*b - 4 - 81*b**3 + 2 + 13 + 7 wrt b.\nAnswer: -43140*b**2 + 12*b + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23 = 8*d - t + 6, 0 = -3*d + 411*t - 409*t + 8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 4889158?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-3)\/(-4) - ((-354)\/8)\/(-3). Which is bigger: k or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 14428?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -166*g**5 - 277258*g**3 + 181*g + 77945?\nAnswer: -3320*g**3 - 1663548*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1779238?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-20)\/(-78) + 7\/91)*-3. Sort 4, -4, h, 3 in ascending order.\nAnswer: -4, h, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 25244 + 3.1\nAnswer: 25247.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 157641061 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1493229014 to the nearest integer?\nAnswer: 38642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -175 (base 8) to base 11\nAnswer: -104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4316125441?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = a - 1. Let r be (a\/(-4))\/(9\/(-1488)). Let i = r + -40. Which is smaller: i or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from peggettttttt. Give prob of picking 2 g.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*l + 0*l - l**4)*(3*l + 0 + 0)*(-1 - 2 + 0).\nAnswer: 9*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/7 in 2\/17, -2, -14, -5\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1272 + 2498. Suppose 58376 = -j*d + 1234*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 211122.\nAnswer: 2, 3, 37, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 32  (b) 3\/4  (c) -11  (d) -4  (e) 2  (f) 0.052\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2897197 - 2897197 - 2*b**5 - 23*b + 247*b**4 wrt b.\nAnswer: -40*b**3 + 2964*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1584342751?\nAnswer: 797, 1987883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/k**(-3))**(-14) assuming k is positive.\nAnswer: k**(-56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2451904 and 448?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2 - -1) + (12 - 2). Let v be (-2)\/d - 29\/(-9). Let h(t) = 3*t - v*t - 6*t**2 + 0*t. Let k(p) = -2*p**2. Determine h(k(y)).\nAnswer: -24*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*c - 5*n - 24, c + 12 = -2*c - 7*c + 2*n for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) be the third derivative of o**6\/120 - o**4\/24 - 3*o**3 - 19*o**2. Calculate q(0).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -r**3 + 3*r**2 - 2*r - 1. Determine w(5).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (y**2 - y**2 - y**3)*(0*y**2 + 0*y**2 + 6*y**2)*(23 - 9 + 5).\nAnswer: -114*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -s**3 + 6*s**2 - 5*s - 3. Suppose -8*q - 328 + 376 = 0. Determine g(q).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(80)\/sqrt(4))\/sqrt(10).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 9.17941 weeks?\nAnswer: 64.25587","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 75 is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 304712 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 5, 0.29, 8415?\nAnswer: 8415","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 119 a factor of 27846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 104\/(-325)*-5*(-48)\/(-4800)?\nAnswer: 2\/125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-186)\/12)\/(1*4\/(-8)). Let w be 8\/10*(435\/10 + -5). Which is smaller: w or s?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 6, z: 2, p: 3, y: 1, i: 5}. What is prob of sequence ipp?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21 = -q + 4*g, -3*g + 24 = 5*q - 12. Let c = 23 + -18. Let o be 84\/9 - c\/15. What is the greatest common divisor of q and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 23\/(-1026 + 37)*(-9 - (-80)\/10).\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (153\/(-34))\/(2\/(-216)). Let d = 427 - w. Is -59 less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -2*u + 24. Calculate w(-10).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 171232.6999924 - 171233. Let r = -0.27 - 0.03. Let y = o - r. What is y rounded to 6 decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 12, 8, -6, -36, -88, -168, -282, -436?\n\"Answer: -v**3 + v**2 + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 41 + 6 = -5*j, -2*s = -5*j + 15. Solve 4*o - 3*o - 4 = -4*u, s*o - 20 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -331242214 (base 6) in base 2?\nAnswer: -10110101011110011000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 51 + (5 + -32 - -38)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -29 or 29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -2\/3  (b) -0.3  (c) -1\/4  (d) -0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 97 - 12219?\nAnswer: -12142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6727*o + 7196*o - 2188*o + 927280 = 144*o for o.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 1 = -5*p, -7 + 20 = 4*k - 5*p. Factor -k*h**4 + h**3 + 0*h**2 - 3*h**2 + 4*h**2.\nAnswer: -h**2*(h - 1)*(2*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (2\/(-2))\/((4361\/1372)\/89)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 249 minutes after 6:29 PM?\nAnswer: 10:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -25 + 22. Let r(o) = 3*o**2 + o + 2. Calculate the smallest common multiple of r(a) and 20.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine v, given that -245*v**5 + 2308285*v**4 + 75067630*v**3 + 419784940*v**2 - 258476360*v + 37816000 = 0.\nAnswer: -25, -8, 2\/7, 9454","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2.6 + -2.7. Let t = 0.3 - 0.8. Which is the nearest to z?  (a) 4  (b) 0.1  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 2\/7, -7, -33, -2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 964215 or 964266?\nAnswer: 964266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*x - 0 + 9. Solve -4*b + x*v + 20 = 0, b - 4*v = -0*v + 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 41\/2 - 61\/3. Find the common denominator of v and 11\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 691359.57 milliseconds in days?\nAnswer: 0.008001846875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find c, given that -2*c**4\/13 + 42*c**3\/13 - 240*c**2\/13 + 200*c\/13 = 0.\nAnswer: 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4 in 84, -217, 0.4, 0.03?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 308 and 280?\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 38 - 42.9. Let o = r + -1.1. Let h = -5.7 - o. Which is the nearest to 1?  (a) h  (b) -1\/4  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p - l + 65 = 0, 142 = 2*p + 4*l + 8. Suppose f - 4*f = -s + 1, -5*f - 3*s = 11. What are the prime factors of 1*f*p\/(-3)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-3)*s**10)\/(s**5\/(s**(1\/88)\/s)) assuming s is positive.\nAnswer: s**(89\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*y - 6*j + 5*j + 1983, -3*y + 2*j + 1992 = 0. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*k = 5*k + 9 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-19*b + 20 - 20 - 5 + b + 5 + (0 + 3 - 5)*(-b + b + b))*(3*b + 0*b - b)*(1 - 2 + 0).\nAnswer: 40*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + sqrt(76))*2 + (sqrt(76) - (sqrt(76)*2 + sqrt(76) - sqrt(76))*-4))**2.\nAnswer: -88*sqrt(19) + 9200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.12 + -0.14. Put c, -5, 4 in decreasing order.\nAnswer: 4, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -n**2 - 11*n - 10. Give l(-8).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is -122242 smaller than -122278?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(3969) - sqrt(49) - sqrt(49))*1)\/(sqrt(448)*1).\nAnswer: 7*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.002544 to 4 dps.\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.016318174 - -762.691691826. Let d = 808.7082 - x. Let a = d - 46. What is a rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*c + 15*c + 36 = 0. Let l(y) = y**3 - 5*y**2 - 8*y + 5. Determine l(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.1 and -185.789.\nAnswer: 18.5789","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + (-4*((sqrt(3993) - (sqrt(3993) - (sqrt(3993)*1 + sqrt(3993))))*4 - sqrt(3993)))\/((-1*sqrt(192) - sqrt(192)) + 2*sqrt(108)))**2.\nAnswer: -154*sqrt(11) + 65220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 41\/50730 and 21\/676400.\nAnswer: 2029200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (2 + 7)*4608\/54. What is the highest common divisor of a and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 71496 is divided by 1036.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -216\/11 or -13973?\nAnswer: -13973","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*m**2\/5 + 216*m\/5 + 3888\/5.\nAnswer: 3*(m + 36)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2043927 by 1647.\nAnswer: 1241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p - 7*h = 7, -5*h - 2 = -4*p + 3. Solve 4*d - 11*d - 21 = p for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:44 PM and 2:50 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*f + 15*f - 345600. What is f rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*g - 2*g + 5*g + (1 + 0 - 2)*(2*g - 2*g - 2*g) + 4*g - g - g + (2 - 4 + 3)*(-4 + 4 + g).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1617 + -2395. Let t = 1527 + y. List the prime factors of t\/5 - (-12)\/60.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -7300 + 11191. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13 - 3\/(825\/(-3625)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 2, i: 11}. Give prob of sequence ii.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8 - (-5 + -8 + -143) is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 345626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 49*k = 45*k - 104010, 415963 = 4*q - 5*k. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 737389673.\nAnswer: 737389673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -2*f - 35. Let s be (-2 - 2 - -3)*10*2. Let b be u(s). Suppose 3*v - 148 - 69 = -4*w, 0 = -5*w + b. Is v bigger than 72?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -37 - -74d32?\nAnswer: 74cd9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -b**2*q**4 - 2387*b**2*q**3 - b**2*q + 155*b*q**2 - 3*b + q**2 wrt q?\nAnswer: -24*b**2*q - 14322*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 14 + 0*i - i - 1. Let k be y(13). Suppose k = 4*u - 4 - 4. Solve -u*o + 0*o + 8 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -6*a + 42*a**2 + 0*a - 12*a**3 + 6*a + 124*a**3 wrt a.\nAnswer: 672","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14070 = 22*o + 13*o. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -505 - -709. Let i = 875 - k. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) be the second derivative of -p**5\/20 + p**4\/12 + p**3\/6 + p**2\/2 + 5*p + 14. Let w(s) = s**2 + s**2 + 2*s + 2 + 0*s. Give -4*t(j) + 2*w(j).\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*x - 2*x - x + (0 + 0 + 2*x)*(-4 - 1 - 7) in the form h*x + a and give h.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 706854 + 30?\nAnswer: 706884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -317\/5 + 2818\/45. Which is smaller: a or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1522387 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 divided by 87271?\nAnswer: -5\/87271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1e + 168c5f2?\nAnswer: 168c610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 357 and 1309?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -156*s + 420. Calculate l(16).\nAnswer: -2076","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 7, k: 5, w: 3, p: 1}. What is prob of picking 1 h and 1 w?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((2*q - 4*q + q)*(0 + 1 + 1) - 1 + 1 + 5*q)*(2*q**3 - 3 + 3) to l*q**2 + m*q**4 + y*q + o*q**3 + j and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -331101343 + 0?\nAnswer: -331101343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -111*p + 47464 - 15847 + 7566. What is the remainder when p is divided by 55?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 11*b**3*j*t + 2*b**3 + 19*b**2*j*t - 3*b**2*q + 11*b*j*q + 2*b*q*t - 3*j*q + 6*q wrt t?\nAnswer: 11*b**3*j + 19*b**2*j + 2*b*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fddf when four letters picked without replacement from {d: 3, h: 2, f: 4}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -1195*y - 9. Let r(q) = -3*q**2. Give o(r(l)).\nAnswer: 3585*l**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23*n - 19 = 4*r - 24*n, 5*r + 28 = -3*n for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (-41 + 86 - 42) + 119\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) be the second derivative of 2*b**3\/3 - 19*b**2\/2 + 3268*b. Determine o(0).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t + 7*r - 83249 = 0, -r + 208205 = 70*t - 65*t. What is the thousands digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.3 times 216624\nAnswer: -64987.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 56 - 53. Solve 0*l**2 - 2\/3*l**r - 5\/3*l**5 + 0 + 0*l - 7\/3*l**4 = 0.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1767593 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11 + -110000100?\nAnswer: -110000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 11.6033267 to zero dps.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 1 b when two letters picked without replacement from pbphpzzzzh.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -155\/82 or -2?\nAnswer: -155\/82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.8 >= -0.058?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10*6\/800*-45?\nAnswer: -27\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 9*b**3 + b**2 - 46117*b + 46115. What is w(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.04089575 and -4.\nAnswer: 0.163583","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3261531185 to the nearest integer?\nAnswer: 1483","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from npydf. What is prob of sequence dn?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (0 - 0) + 1 - (13 - 9)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 606*l + 0 - 4 + 6 - 1 - 87*l to u + d*l and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -303093, -303114, -303163, -303252, -303393, -303598, -303879?\nAnswer: -304248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.06 less than 240?\nAnswer: 240.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -0.508, 1\/394.\nAnswer: -0.508, 1\/394, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25*h = -6*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.13 + 5.87. Let h = x - 8. Put h, 0.5, -5\/4 in decreasing order.\nAnswer: 0.5, -5\/4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(190)\/sqrt(160)*3.\nAnswer: 3*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 4*n + 228 = 0, 5*n = -9*y + 4*y + 600. Let h = y - 51. List the prime factors of h.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*z = -x - 11*z + 396, -796 = -2*x + z. Calculate the greatest common factor of 32 and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.14 - 2.14. Which is the closest to p?  (a) 1\/5  (b) 3  (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 0.8943392 centimeters?\nAnswer: 8943392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = f**3 - 2*f**2 + 3. Give o(5).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 74, -1\/3, -3, 4, 9689?\nAnswer: 74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 83899185 to the nearest integer?\nAnswer: 438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 10834841 and 21.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -9341, -9348, -9355?\nAnswer: -9362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 119 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide 19 by 391.\nAnswer: 19\/391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.2*-1913.\nAnswer: -382.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000195448379 to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (13*z - 5*z + 3*z + (4 - 1 - 1)*(-z + 4*z - 5*z) - z + 3*z - 4*z)*(40 - 138 + 61) + (1 - 3 + 2*z + 6)*(-1 + 6 - 3) to t + q*z and give t.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -1\/13, -2\/103, 0.7, 3, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 199, 208, 217, 226, 235?\n\"Answer: 9*g + 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n\/(n\/(n*(n**(-16\/7)*n*n)\/n)))\/(n*n*n\/n**(-9)*n*n) assuming n is positive.\nAnswer: n**(-93\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -113 times -4\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*w + 3503139 - 24825890 = 100123084. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -102800554 - 2?\nAnswer: -102800556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 6036 - 8594. Suppose 0 = 86*m - 30*m - 219576. Let b = m + i. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 150\/35 - 1*4\/14. Let k(w) = w**2 - 3*w - 2. What is k(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -58 or 27?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -6344*i**3 + 3116*i?\nAnswer: -38064*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 82191 and 51.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 3403 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -4957, -4964, -4957, -4930, -4877, -4792?\n\"Answer: a**3 + a**2 - 17*a - 4942","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 6911 - 6909. Suppose 0 = -3*n + x + 13, 4*n + 5*x + 0 + 8 = 0. Solve -n*m = u*m + 10 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 23230 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 362998 = -2*n, -2*n + d = -436946 + 73948. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17511441.\nAnswer: 3, 23, 253789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -21333 (base 6) to base 10\nAnswer: -2937","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jjjr when four letters picked without replacement from {j: 3, u: 2, r: 13}?\nAnswer: 13\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f = t - 11 + 28, -3*f + 22 = -2*t. Let y(v) = -2*v + 30. Let a be y(-10). Let x = a - 34. Calculate the greatest common factor of f and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 1, c: 5, e: 3, m: 1, b: 2}. What is prob of sequence bb?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -2f19 (base 16) to base 2\nAnswer: -10111100011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 - 7 = -s. Let m be s\/3*(5 + 35\/14). Suppose -2*w + 625 = m*c + 200, -3*c = -w + 218. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 72508?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 52 - 90. Let t = -19 - u. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -115*c**3*t + 40*c**3 + 2*c wrt t.\nAnswer: -115*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 2*p**2 - 14*p + 11. Let i be g(5). Let y be (-8 - i)*160*(0 - -94). Is y\/16 - (1 - 4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -234 - -311. Calculate the highest common divisor of 44 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j, 1 q, 1 i, and 1 o when four letters picked without replacement from {q: 4, g: 1, i: 2, j: 2, y: 2, o: 1}.\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 741 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1\/((0 + 1)*(-8)\/40). Suppose -8*g + 16 = -4*g. Sort g, -4, b, 1 in decreasing order.\nAnswer: g, 1, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (7 - 13 + 1)*(-2 - 2 + 1)*(-10 + 10 - q) as y*q + j and give y.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 31021?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -153 + 155. Suppose -3*y - s*w = -4*y + 14, 4*y - 95 = -5*w. Calculate the smallest common multiple of y and 25.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 939955?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 93\/3688 and 27\/173336.\nAnswer: 173336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6501?\nAnswer: 3, 11, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 20 - 4*v - 20. Let q(p) = -5*p**2 + 4*p. Let s(c) = -6*c**2 + 5*c. Let i(w) = -5*q(w) + 4*s(w). What is i(u(f))?\nAnswer: 16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 1\/6782, 3, -0.1, 911?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 2*o**2. Let a(u) = -5*u. Let n(h) = -99*h. Let i(z) = 6*a(z) + n(z). Determine i(k(v)).\nAnswer: -258*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/3, 2, -4, 12750 in decreasing order.\nAnswer: 12750, 2, 1\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -353\/25 or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*i = -o + 44 - 7, -4*o = -5*i - 31 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put 40, 4, -3, -13, 3 in ascending order.\nAnswer: -13, -3, 3, 4, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 8519897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -11 - -2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -n + 9. What is b(12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = 477*g + 7914. Calculate h(-20).\nAnswer: -1626","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:50 AM and 6:51 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = 5*g - 2. Let p(l) = 9*l - 5. Let k(a) = -5*j(a) + 2*p(a). Let z(m) = m**2. What is z(k(w))?\nAnswer: 49*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -4*r, 0*r - 2*r = 5*o - 17. Let b(l) = -2 + o*l - 1 + 3. Let t(a) = -3*a + 7. Let d(u) = -u + 2. Let x(f) = -7*d(f) + 2*t(f). Give b(x(s)).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = i + 3. Let g be j(3). Suppose g = 4*l - l. Put 1, l, -2 in ascending order.\nAnswer: -2, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -4 + 3. Let d(y) = -5*y + 1. Let i be d(r). Let h be (21\/i)\/(2\/4). Calculate the greatest common divisor of 28 and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = 27*k + 11. Let x(u) = 41*u + 1. Calculate -8*q(y) + 5*x(y).\nAnswer: -11*y - 83","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -3*7\/84*-2\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1090065*y + 3270187*y - 1090057*y - 1090061*y.\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 57114 is divided by 114.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 3*(1 + (-70)\/24) and 2\/(-10)*-2*29.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 440 and 620520.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 47\/36 and ((-20)\/(-126))\/(8\/1116*-12).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q = -2*n + 2166, 3*n + q - 3254 = -0*q. Suppose 4*c + 3*v - n = 3*c, 3*c = v + 3265. List the prime factors of c.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = i**3 + 3*i**2 - 11*i + 2. Let r be m(-5). Let x(k) = 5*k - 12. Does 23 divide x(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j\/j**31*j*j*j*j)\/(j\/j**(4\/15)) assuming j is positive.\nAnswer: j**(-386\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 61 + -29. Let k = 4 + 0. Suppose -k*j = -n - 28. What is the remainder when 43 is divided by j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 44454280 to the nearest integer?\nAnswer: 6667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3212, 3402, 3592?\nAnswer: 3782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 3*w**2. Let q(i) = -1. Let h(z) = -z + 3. Let k(m) = 2*h(m) + 6*q(m). What is k(b(g))?\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 497 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 12 and 0.1622023?\nAnswer: 1.9464276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 29551*z**3 - 203*z**2 + 295475158 with respect to z.\nAnswer: 88653*z**2 - 406*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -3\/19952 and -37\/1358800?\nAnswer: 39405200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -99 + -77?\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = m**3 - 7*m**2 + 1. Let v be a(7). Let x = v - 0. Find the first derivative of -z + x - z**4 - 4 + z wrt z.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-30)\/(-4)*62\/(13950\/75)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-86 + 61)\/25*(-3)\/(-1) + 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from horororoaorhohf. Give prob of sequence fh.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*f**2 - 2*f**2 - 2*f**2 + 0*f**2 + 2*f**2 + 0*f**2 + (6 - 2 - 3)*(4 - 2*f**2 - 4) - 35 + 35 + 20*f**2 + (3*f - 3*f - 2*f**2)*(3 + 0 - 4).\nAnswer: 23*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0\/(((-3)\/(-10))\/(831\/(-5540))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 31636.11 hours?\nAnswer: 113889996000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1396388*l**3 - 267160*l**2 - 13*l + 1?\nAnswer: -8378328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 5, -3, -2, -22.\nAnswer: -22, -3, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -488.095 from -4657656.\nAnswer: -4657167.905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -4 - -11. Suppose -3 = -4*h + 5. Suppose h*c + d = -3. Let m(t) = -2*t - 6. What is m(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -4, -5, 0.3, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 1, d: 4, h: 4, p: 3, i: 1}. What is prob of picking 2 p?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 25206 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 12ddd3 (base 16) in base 5?\nAnswer: 304031220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 4, 9, -1837, -5.\nAnswer: -1837, -5, 4, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 17\/4 of a kilogram in grams?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 36*y - 30*y - 12. What is the third derivative of 1345*n**y - 1341*n**2 + 7*n**3 + 7*n - 3*n**6 + 3*n wrt n?\nAnswer: -360*n**3 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 25 divide 456545750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 4.88778941 to 2 decimal places.\nAnswer: 4.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide 32558 by 2.\nAnswer: 16279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -8.1 + 5.4. Let w = 2.6 + t. Let s = -0.7 - -0.6. Which is the closest to s?  (a) -1\/4  (b) w  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 122\/(-240) - 6\/(-45). Let g = 0.3 - 0.4. Let m = -0.07 + -0.03. Which is the nearest to m?  (a) g  (b) z  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 + 2\/9*t**3 + 4\/9*t**2 - 2\/3*t = 0 for t.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*d**2 - 284*d - 1200.\nAnswer: 4*(d - 75)*(d + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 27030 is divided by 6564?\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 16\/40 - 397\/(-20) and 210\/280 + (-57)\/144.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -42*i + 2. Let z(s) = -1. Suppose 54992*q - 55010*q - 18 = 0. Determine q*w(t) - 3*z(t).\nAnswer: 42*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put 8, -1, 1.6, 1\/4, -4 in descending order.\nAnswer: 8, 1.6, 1\/4, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 9 - -12?\nAnswer: 1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -q**2. Let y(n) = -33*n - 4. Calculate y(l(u)).\nAnswer: 33*u**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -263240 times 0.4?\nAnswer: -105296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 0*w - 12 = 2*w, 2*s + 24 = 3*w. Let m be (2 - 0)*s\/8. What is the biggest value in -5, 0.3, m?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.0889 - -0.0889. Which is the third smallest value?  (a) -13\/5  (b) u  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1111040 = -35038*l + 5210486 for l.\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = -5*p - 2, 2*p - 14 = -s - 13. Calculate the common denominator of s\/((-56)\/(-20) + -3)*-1 and -59\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 times 132891.3\nAnswer: -664456.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide 31497 by -3.\nAnswer: -10499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 113\/12 and 1\/86.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -k + 3. Let l be x(3). Sort l, -4, 4 in descending order.\nAnswer: 4, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*r = -3*r + 12. Let j = r + 6. Solve -g + a - 3*a = 12, -4*g - j*a = 28 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 22723?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 4280723 to the power of 1\/3, to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 2*2\/(-18) - (-8)\/(-18)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1)\/4 + (-13)\/(16 - 81))*6?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.11 and 18874861.\nAnswer: 18874861.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 84083, 168184, 252287, 336392, 420499, 504608, 588719?\n\"Answer: k**2 + 84098*k - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) be the first derivative of -3 - 1\/2*s**2 + 1\/3*s**3 + 7*s. Suppose 2*b - b - 3 = -3*k, -3*b - 5 = -5*k. Give w(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -40\/3 + 14. Let h = -0.2 - -0.1. Let k = -78 + 392\/5. Which is the closest to h?  (a) n  (b) k  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6 - (10 + (-3 - -9)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 6 - 6. Suppose 0 = -a*o - o. Let g = 143\/3 - 48. Which is bigger: o or g?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -679 - -1164. Let c = 484.99753 - s. Round c to four dps.\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 126 and 81161736.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2 - -13. Let m(d) = 5*d**3 - 28*d**2 - 12*d + 27. Calculate the remainder when m(6) is divided by o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + 3 + (-12 - (2 + -9)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2  (b) 1  (c) 2.59\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 3*w - 6 - 3 = 0, -2*n = -4*w + 12. Suppose n = 2*p - 5*j - 17804 + 6068, -17629 = -3*p - 5*j. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*h + 32 + 3 - 35.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 4*(-1)\/((-8)\/16) - 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k = 0, -15 + 135 = -2*f - k. Let p be (f\/35)\/(2\/(-364)). Let z = p - 216. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/9?  (a) 9\/8  (b) -3  (c) -0.041\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.03, -0.1, -0.05 in decreasing order.\nAnswer: -0.03, -0.05, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18526.\nAnswer: 2, 59, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2 + 0. Let b be -3 + (5 - j\/2). Solve -v + b*v - 6 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 2 - 1305ac?\nAnswer: -1305aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find d such that -3504096*d**4 - 3253210344*d**3 - 1007033473380*d**2 - 312063212701850*d\/3 - 77827136852375\/3 = 0.\nAnswer: -42695\/138, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 932164400?\nAnswer: 2, 5, 17, 29, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 183*h**5 - 518*h**4 + 2*h**3 - 647*h**2 - 251*h + 2 wrt h.\nAnswer: 10980*h**2 - 12432*h + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -12260 + 12259.93991. Round m to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = 1 + 0*p - 8*p - 8*p. Suppose -c + 12 = -3*c - 4*d, 3*c = -5*d - 16. Does 15 divide r(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-6)\/(180\/(-75)))\/(5\/(-12)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3878 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 31 divide 32934181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 25*k - 13. Let h(i) = -4*i + 2. Suppose 14*q + 7 + 77 = 0. Calculate q*m(b) - 39*h(b).\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -2785, -2774, -2747, -2698, -2621, -2510, -2359?\n\"Answer: j**3 + 2*j**2 - 2*j - 2786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 5\/((-35)\/3) - 497773\/(-7). Is 2\/(-3) - z\/(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 3 - 77576?\nAnswer: -77573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 101.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = 15*n - 4. Let r(s) = 7*s. Let m(z) = 13*r(z) - 6*v(z). Determine m(-10).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2736 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -264\/397, 3\/5, 0.0081?\nAnswer: -264\/397","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 15190 and 85044470.\nAnswer: 2170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k - 4*o + 6 = 0, o + 7 = -0*k + 4*k. Suppose -k*f - 7 = -137. What is the greatest common divisor of f and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7 divided by 1152\nAnswer: -7\/1152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = t + 4. Suppose -5*x - 5*g = -100, -g - 57 - 23 = -3*x. Let a be 43\/5 - (-10)\/x. Let n be 24\/a*3\/2. Calculate k(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**5*h*h**(1\/23))\/(h**(4\/11)*h\/h**17*h) assuming h is positive.\nAnswer: h**(5232\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2.5 - 1.556. Let s = x - -0.056. Is 6 at least as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 12.52501 - 15.825465. Let c = m + 3.3. What is c rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) be the third derivative of 38\/3*k**3 + 0*k - 1\/3*k**5 - 45*k**2 - 1\/12*k**4 + 2. Differentiate x(h) wrt h.\nAnswer: -40*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.01 - -8.99. Let x = 10.1 - q. Let t = 0.9 - x. Which is the biggest value?  (a) -1\/3  (b) -2  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 7 + -8. Let z(o) = o**2 + o + 1. Let a(g) be the third derivative of 7\/24*g**4 + 0*g + g**3 + 7\/60*g**5 + 0 + 2*g**2. What is i*a(h) + 6*z(h)?\nAnswer: -h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = n**3 - 5*n**2 + 2*n + 4. Determine s(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-246)\/861)\/(20\/14)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11406 is divided by 54?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -42 = -10*i - 12 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -624669.4 rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 116 = 3*x - 2*s, -2*x - s = -68 - 14. Let c(r) = -r**2 + 7*r - 6. Let m be c(6). Suppose 0 = -m*v + 5*v - x. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.094097 micrometers in millimeters?\nAnswer: 0.003094097","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 3165 or 3166?\nAnswer: 3166","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 4*y - 0. Let j be 4 + y\/2*(1 + 5). Solve -3*z = 4 - j for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 56894041.\nAnswer: 56894041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 377 is divided by 186?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -4*c - 8. Give x(10).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m = 6*m - 4*b - 1066, -3*b = -3*m + 1062. Let g = m - 330. What is the remainder when 158 is divided by g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 2*j + 14. Let i be l(-5). Solve -p + 6 = -i*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 17*n**2 + 3*n. Let d be j(-2). Let z = -39 + d. Let b = -11 - -19. Calculate the remainder when z is divided by b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 92 minutes after 7:23 AM?\nAnswer: 8:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide 17451 by 8.\nAnswer: 17451\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -63 + 20 = -5*c - d, 4 = -c + 4*d. Let b(z) = z**2 + 3*z + 6. Let f be b(-6). Let g = f + -16. Calculate the highest common divisor of c and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:27 AM and 8:01 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 228983330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 1 - 2)*((0 - 4 + 2)*(-2*y - 2*y + 3*y) + y + 2*y - y) to the form m*y + g and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f - 11 = -111. Let u = -102 - -59. Let i = u + 82. Calculate the remainder when i is divided by f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m - 4*y = -5*m + 27, 3*m - 3*y = 24. Solve m*c = 8 - 33 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m\/(m\/(m**(4\/5)*m)))\/m*m)**1 assuming m is positive.\nAnswer: m**(9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 3646 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 591678 or 591676?\nAnswer: 591678","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1\/1 - (-166 - 1). What is the units digit of (v\/8)\/((-6)\/(-8))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (3 + 2 + -4)*2. Let f(q) = -q**2 - 9*q + 8. Let b be f(-9). Let c be (2\/b)\/(4\/48). What is the greatest common factor of g and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + 33\/(-9) + 2\/12.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -176 - -182. Suppose y = 4*w - y - 20, 0 = w - y - z. Solve 5*h - 3 = w*p - 1, -8 = -4*h for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7801 < 70217\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -59\/414 and 119\/828.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -0.3 - 80\nAnswer: -80.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -7097284 divided by -2\nAnswer: 3548642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -4 divided by 1257062\nAnswer: -2\/628531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 9\/31 - -48\/155. Let a be 1 + 3\/(6\/2). Suppose 3 = 5*p - a. What is the third smallest value in -0.2, p, f?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2230247?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide 885577 by 349.\nAnswer: 885577\/349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 3*b - 6. Let m(a) = a**2 - 7*a. Let o be m(7). What is the second derivative of -2*k + o*k - k**4 + 0*k**4 + b*k wrt k?\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(2\/17)*v\/v**(1\/2)*v**(-4)\/(v*(v**(-6)*v)\/v*v))**(13\/2) assuming v is positive.\nAnswer: v**(273\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -72 + 90. Solve 3*i - 2*i + 5*y + v = 0, -2*i = 5*y + 21 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -11 - -21021?\nAnswer: 21010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of (0 + 222\/(-15))\/(5\/(-375))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 17 = 5*c + 147, -2*j + 308 = -5*c. Calculate the greatest common factor of j and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 624*k - 668*k + 14*k + 31*k.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 2101 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.02*-2.04.\nAnswer: 0.0408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-5*r**5 + 2*r**5 + 4*r**5)*(5 - 2 - 1) + 0*r**5 - 3*r**5 + 0*r**5)*(5247 - 8155 + 4037).\nAnswer: -1129*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 37569111\/58093 + 66\/8299. Let t = 641 - k. What is the common denominator of t and 45\/(-12)*(-12)\/(-50)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n + 6 = 2*k, 2*n + 2*n + 12 = 4*k. Suppose -4*s - k*s + 3*s = 0. Solve -5*u + s*u + 20 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(-4*sqrt(324)*2 + sqrt(324) + sqrt(324) - sqrt(324) - sqrt(324)))\/(sqrt(192)*2 + sqrt(300)*2 + sqrt(12)).\nAnswer: 72*sqrt(3)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*m = 2*r - 4, 3*m + 5*r - 6 = -20 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 1\/9893, 12, 0, -0.2?\nAnswer: 1\/9893","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = 39*j - 27. Suppose 5*m + 3*v + 150 = 0, -61 = 4*m - v + 42. Let f(z) = -3*z + 2. Let q(s) = m*f(s) - 2*c(s). Let g(r) = r**2 - 20*r. What is g(q(l))?\nAnswer: 9*l**2 - 60*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6506 = -279*x - 4933 for x.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 60006467 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 11 - 8. Suppose -m*n = -15*n + 1272. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -65, -78, -103, -140?\n\"Answer: -6*b**2 + 5*b - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 736 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -11007\/32 at most -344?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 0 - 5)*(-9*j**2 + 41*j**2 - j**2).\nAnswer: -93*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 486 + -480. Let d be (-2 - 3\/6) + -2 + m. What is the second biggest value in d, 6\/5, -3?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0011859 to 6 dps.\nAnswer: -0.001186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9 - (0 + (6 - -461))*-24.\nAnswer: 3, 3739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 449.5 and -1?\nAnswer: -449.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -166*j**3 - 407*j**3 + 3 + 223*j**3 + j. Let z be r(-3). Suppose x - b = -2*x + 5668, 5*x - z = b. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 39 - 27. Suppose -2*w - 2 = -u. Suppose -1 = -3*f - i, -w*f + 35 = -6*i + i. What is the least common multiple of f and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -538.278 + 556. Let o = g + 0.178. Round o to zero decimal places.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 538*h - 90. Let x be i(1). Calculate the greatest common divisor of 28 and x.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 1384?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 0, 3, -7, 1 in decreasing order.\nAnswer: 3, 2, 1, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -12*g*k**3*p**3 - g*k**3*q + 2*g*k**3 - g*k*p**3 - g*k*p**2 + 2*g*k*q - 5*k**2*p + 3*k**2*q wrt k?\nAnswer: -72*g*p**3 - 6*g*q + 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.0639 - -549.9361. Let b = m - 542.9. What is b rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -d + 2, -4*f + 4*d + 22 = 9*d. Suppose -2*p = 4*t + 196, 34*t - 32*t + 102 = -f*p. Are t and -48 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 499 - 486. Calculate the remainder when 54 is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*r - 5*i - 95, -2*i - 21 = 2*r - 109. What is the remainder when r is divided by 2*(4 - 4 - -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 288*b = 293*b - 65. Suppose -894 = -16*u + b*u. Does 4 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 347747759 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (9 - -34 - 6) + 0 + -3.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1366 (base 16) in base 14?\nAnswer: 1b4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -5*c - 24. Let h be t(-6). Suppose 5*i - 31 = -h. Find the second derivative of i*d + d - 8*d**4 - d + 2*d wrt d.\nAnswer: -96*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 602364?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.5 rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -y**3\/12 - 7*y**2\/12 + 4753*y\/12 - 4745\/12.\nAnswer: -(y - 65)*(y - 1)*(y + 73)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 309555*c - 619122*c + 309565*c + 6 - 1 - 2.\nAnswer: -2*c + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (25600\/14144)\/200*78\/4\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -11663 by -234.\nAnswer: 11663\/234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 90 in 5, 0.5, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 5925994170 rounded to the nearest one million?\nAnswer: 5926000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q - r = -9, q + 3*r + 5 = -0. Suppose d - q*n + 6 = -4*d, 0 = 3*d - 4*n + 10. Find the first derivative of 2*i**3 + 1 + 0*i**2 + 0*i**d wrt i.\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 186852 and 57132?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-1674)\/3444 + (-3)\/2 + 2. Let s = 295\/574 - f. Which is the fourth smallest value?  (a) -1\/7  (b) s  (c) -4  (d) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 42 and 808?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -d**3 - 3*d**2 + 8*d + 4. Let q = 2404 + -2409. Calculate j(q).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 9*f**3 + 873*f**2 - 10*f - 982. Give p(-97).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.0453 + -0.3547. Which is greater: -216 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (80*q**2 + 197 - 197 - q**2 - 2*q**2 + 7*q**2 + (-1 + 2*q + 1)*(0 - 2*q + 0) + 2*q**2 - 3*q**2 + 0*q**2)*(0 - q + 0).\nAnswer: -79*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(1\/4))**(9\/7)\/(((l*l*l\/l**5*l)\/l)\/l**(-1)) assuming l is positive.\nAnswer: l**(37\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -n**2 + 31*n + 51. Let s be h(25). Let i = -199 + s. Solve 2*c - 5*k + i = 3, -c + 2*k = -1 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1 + -2 + 4 + -1 + -1. Let t = 10 - 5. Let h = t - 3. Which is the smallest value?  (a) v  (b) 1\/6  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uix when three letters picked without replacement from {s: 3, i: 1, x: 2, u: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -107868\/65 + 1659. What is the common denominator of -2 + 36\/(-40) - (11 - 13) and q?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 54659 a multiple of 291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -4*i**4 + 443*i**3 - 250*i**2 - 3520345 wrt i.\nAnswer: -16*i**3 + 1329*i**2 - 500*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -504 + -114?\nAnswer: -618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -132*h*i*u**3 - h*i*u**2 - 19*i*u**2 - 3*i + u**2 wrt u?\nAnswer: -792*h*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Are -323293\/4 and -80822 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -0.194*-65\nAnswer: 12.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 361 is divided by 25?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.7 - -1. Let l = 0 + k. Let u = -387 - -389. What is the nearest to -2\/3 in u, 1\/3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 1 + 8 = -3*q, -3*w = -4*q - 7. What is the second derivative of 15*z**5 + 93*z - 24*z**w - 23*z**5 - 4*z**5 wrt z?\nAnswer: -720*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-515)\/9 + 22\/99. Let b = -12 - q. Is 15 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -103343234 (base 5) to base 10.\nAnswer: -449819","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -f**5 - 4*f**4 + 15*f**3 + 14*f**2 - 28*f - 24.\nAnswer: -(f - 2)**2*(f + 1)**2*(f + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 1\/4767 and -107\/56.\nAnswer: 38136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(19)*4*-1 + (sqrt(76)*-4 + sqrt(76) - sqrt(76))**2 + (-4 + -5 + 2 + sqrt(1539))**2.\nAnswer: -130*sqrt(19) + 2804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + (-2 - -1) - (4 + -3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) be the first derivative of j**4\/4 - 2*j**3\/3 + 3*j**2\/2 - 2*j + 2. List the prime factors of r(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -15 + 21. What is the smallest common multiple of j and 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 488*c = 492*c - 4*f + 28, -5*c + 389 = 48*f for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 11 + -2 - (-6 + 17)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3225.408 litres?\nAnswer: 3225408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 15 divided by -3498?\nAnswer: -5\/1166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 1210203030 (base 4) to base 6\nAnswer: 12454420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8 = 3*b + 2*i, -74*b + 6*i = -73*b - 4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = k**2 + 4*k - 10. Suppose -35 = -3*f + 4*t, f - 4*t + 5*t = 7. Suppose -f*z + 5*z = 24. Let p be u(z). Solve -2*v + 20 = p*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.62362 and 72.\nAnswer: 71.37638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 255123.27 months?\nAnswer: 212.602725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-6)\/(-5))\/3 - (-290)\/25. Solve -7*l + x = -10*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*u - 6*u + 13 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -35958512 or -35958518?\nAnswer: -35958518","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -11f09 (base 16) to base 4\nAnswer: -101330021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1875456876?\nAnswer: 2, 3, 557, 280589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:59 AM and 5:10 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r + 4*k - 44 = -k, 0 = 5*r - 2*k - 247. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a = 48 - 252. Let x = a + -45. What are the prime factors of x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find g, given that 15*g**5\/4 - 2825*g**4\/4 - 2045*g**3\/4 + 29465*g**2\/4 - 16085*g\/2 + 1890 = 0.\nAnswer: -4, 1\/3, 1, 2, 189","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 454 minutes before 5:36 PM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 344607 is divided by 176.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -1680048 to the nearest 10000.\nAnswer: -1680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.202 + 0.201999522. Round n to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -1802*f + 19848. What is g(11)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n - 4*j - 1488 = 0, 4*j = -3*n + 3*j + 1136. Suppose -4*w + 511 = 3*v, n = 3*w - 2*v - 2*v. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -585 + 117 + 3*v + 137 + 113 + 116.\nAnswer: 3*v - 102","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 415784 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z - 20 = -3*q - 6*z, -2*z + 8 = 5*q. Which is the third smallest value?  (a) -0.4  (b) -7  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2082777707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = m**2 - m + 1. Let i be h(-1). Suppose -3 = -5*u + i*r + 21, 4*u = -2*r + 6. Suppose -3*w = -4*q - 273, 0*w + 2*w = u*q + 182. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.240776126 and -0.2.\nAnswer: -0.440776126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -4, -25, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 4, j: 4, a: 1, k: 3, l: 4}. Give prob of picking 1 l and 1 k.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3218*m - 158642 = -11211 + 39213 for m.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 54 + -50. Suppose -2*t = -4*x + 72, 0*x - 3*x + 59 = -i*t. List the prime factors of x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 137472560 divided by 4?\nAnswer: 34368140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 32457030 divided by -10?\nAnswer: -3245703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*o + 2*v + 8, 0 = -7*o + 3*o - 2*v - 8. Let f = -132 - -136. Sort 16, f, o in increasing order.\nAnswer: o, f, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2\/11, -25, 4, 0, 53\/5, -3\/5?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t and 1 a when two letters picked without replacement from teveako.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rvrrvrrrvrrrrrrvrrrv. What is prob of sequence rr?\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*b = -7 - 3. What is the hundreds digit of (13\/(39\/20))\/(b\/150)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -9, 4, 2, 0, -7 in decreasing order.\nAnswer: 4, 2, 0, -7, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3 - -2) + -19 + 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*x = -7*x - 11 + 179. Solve -7*s + 27 = -x*s - 3*w, s = 3*w + 9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 93 * -0.3.\nAnswer: -27.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t**4\/3 + 8*t**3\/3 + 32*t**2 - 640*t\/3 + 1024\/3 = 0. Calculate t.\nAnswer: -8, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -182081 - 74062 = 6383*f - 32738 for f.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -53\/1560 and 83\/195?\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:34 AM and 4:04 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1276 + 1281 + -7 + 1 + (0 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 8 (base 9) to base 15\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29*w - 27*w - 112 = 0. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.05201364 to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 107387 and 2639?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -134511, -134509, -134507, -134505, -134503?\nAnswer: -134501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 divided by -4246?\nAnswer: 5\/4246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1000101100 + 1001111?\nAnswer: 1001111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 108878107 is divided by 318.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -65 - -67. Factor 6*b + 18*b**i + 2*b**3 - 10*b**2 + 0*b**2.\nAnswer: 2*b*(b + 1)*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5335657 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -55?  (a) -8  (b) -17  (c) -0.2  (d) 0.2  (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*d**4 - 3*d**4 + d**4 + (50*d + 16*d - 4*d)*(-4*d**2 + d**3 + 4*d**2) to o*d + r + b*d**4 + p*d**2 + h*d**3 and give b.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 207538.\nAnswer: 2, 103769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = o**2 - o + 60. Let g be c(0). Suppose 9*z - 10*z + 15 = 0. What is the highest common factor of g and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-81*(-28)\/21)\/((-5)\/(-30)). Let o = -603 + b. Suppose 0 = 4*v - j - 335 - 12, 5*v + 2*j - 424 = 0. What is the remainder when v is divided by o?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ooptmm. What is prob of sequence pm?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 97 divide 324562?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6879460 is divided by 1591?\nAnswer: 1567","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1 and 93?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 43 = 6*w - 29. Is 182\/4 + (-6)\/w a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3.40000031 + -3.4. What is r rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.77 + -32.77. Let c = -32.52 - y. Let w = -0.02 - c. What is the third biggest value in w, -0.5, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 4400966, 4400951, 4400936, 4400921, 4400906, 4400891?\n\"Answer: -15*x + 4400981","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 176303 is divided by 6524?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) be the second derivative of -7*n**3\/6 - 6*n**2 + 16*n. Let v be c(-3). Suppose 0 = 5*j - 8*j + v. Sort 9, 4, j in increasing order.\nAnswer: j, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = 348*q - 351*q. Let s(i) = i**2 - 5*i + 3. Let y be s(5). Find the third derivative of 3*n**2 + 3*n**y - 16*n + q*n**2 + 16*n wrt n.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -208*g + 95*g + 101*g. Let s(c) = 7 - 7 + 0*c + 10*c. Calculate s(r(v)).\nAnswer: -120*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 461 is divided by 98?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3104798902?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -6  (b) -4  (c) 0.042\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 - (-11 + (10 - 1))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 41, 147, 323, 569, 885, 1271, 1727?\n\"Answer: 35*u**2 + u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 78?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (w - 3*w + 4*w)*(6 - 4 - 4) + 9*w - 177*w - 52*w to z*w + l and give z.\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -238, -1028, -2372, -4270, -6722?\n\"Answer: -277*u**2 + 41*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5823 is divided by 718.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-p - 2*p + p)*(22 - 78 - 21)*(0 + 1 + 2).\nAnswer: 462*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1143591?\nAnswer: 3, 19, 20063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 45\/334 and 91\/1336.\nAnswer: 1336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-18)\/2)\/90)\/((-1)\/6).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 137190 = -20658*k - 822884 - 692566 for k.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = 2*j**3 + 21*j**2 + 2*j + 2. Let p(u) = u. Give -6*p(m) + q(m).\nAnswer: 2*m**3 + 21*m**2 - 4*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 minutes after 3:06 AM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = 3*r + i, -2*r - 2*i = 11 + 3. Is 23 a factor of 1\/r - 2201\/(-2) - -4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -2*w**2 + 14*w - 9. Determine o(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 803362267 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 2, c: 10}. Give prob of sequence bb.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -4*w - w, 6 = 3*f + 3*w. Let d be -608 - (84\/(-4))\/7. What is the units digit of (f + 1*-2)\/(11\/d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*-6*(-4 + -4*sqrt(3) + sqrt(3)))**2.\nAnswer: 864*sqrt(3) + 1548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in twenty-nine halves of a litre?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -134 + 60 + 69 - 5*h. Let y be ((-30)\/(-9) + -2)*-6. Let x be j(y). What is the greatest common divisor of 5 and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from dpauad. Give prob of sequence pdud.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1455605 (base 9) to base 3.\nAnswer: 1111212200012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put together 50.65 and -1.\nAnswer: 49.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Work out 24 * 0.88452.\nAnswer: 21.22848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 67301 - 28333755\/421. Is i at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*j - 7*j + 17 = -5*p, 3*j - 3*p = 6 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33*m = -27*m - 12. Solve a - 4*n = -12 + m, 2 = 2*a + 3*n for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 45*a**3 + 610*a**2 - 1760*a - 5600 = 0. Calculate a.\nAnswer: -140\/9, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ue when two letters picked without replacement from {e: 2, w: 3, h: 1, u: 2, v: 11}?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.13020249743 - 537.\nAnswer: -537.13020249743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -22 + 30 + -11 + 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*j = -148 + 618. Let n = j - -51. Suppose -n*d + 5*l = -0 - 22, 0 = 2*d + 3*l. Solve d*s - 4 = 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6294448855 to the power of 1\/2, to the nearest integer?\nAnswer: 79338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11822 is divided by 4262.\nAnswer: 3298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (-18 + 15)*(-2 + 1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = n + 2*n + 12, 142 = p - n. What is the highest common divisor of 230 and p?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n + 3 - 2 = 0. Let w be (-6)\/((-3)\/(-7)*63\/(-2)). Let g(x) = -x - 4. Let v be g(-5). Sort n, v, w in descending order.\nAnswer: v, w, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + 1 + (sqrt(208) + 3 - sqrt(208)) + -4 + (-4*(sqrt(208)*2 + -4 + 1))**2.\nAnswer: -768*sqrt(13) + 13461","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = a**2 - a + 2. Let y be h(2). Suppose 3*n = 14*n - 33. Let k = n - y. Which is greater: 2\/5 or k?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 6\/(5 - -33 - 5). Let t = 55.6 + -56. Which is the second biggest value?  (a) -2\/13  (b) -11\/5  (c) i  (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c + 5*a = 28, 4*a = -2*c + a + 20. Suppose 3*v + c = -v. Let x = -179\/44 - -17\/4. Sort x, v, 4 in increasing order.\nAnswer: v, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 42 and 21.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*m + m + m)*(0*m**3 - 4*m**3 + 0*m**3) + (-2*m - 5*m + m)*(2*m**3 + 3*m**3 - 3*m**3) as h*m**2 + g + i*m**3 + n*m**4 + y*m and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 - -1) + (22 - 24).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 22 + -46 - (-1 - (8 + 27)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let -4\/7*y**2 - 80 - 108\/7*y = 0. What is y?\nAnswer: -20, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 53\/930 and -37\/11298.\nAnswer: 1751190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 13.7  (b) -296  (c) -2\/15  (d) -1\/4  (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1902203 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 133  (b) -5  (c) -52\/29  (d) -0.06  (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 55*z + 23 = 463 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put -1670, 6, -7 in ascending order.\nAnswer: -1670, -7, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 23*a**3 + 32*a**3 - 53*a**3.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1319\/5 + 263. Put 4, a, -1\/5 in decreasing order.\nAnswer: 4, -1\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0 + -2. Suppose -c + 23 = 2*z - 4*c, -3*z - c = -7. What is the units digit of m\/(-2)*(z - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -20ad (base 14) to base 13\nAnswer: -274c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 30617 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 354 minutes after 5:21 PM?\nAnswer: 11:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 322 = 2*o + 5*p, -4*o - 5*p + 436 = 0. Is o a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 982*o**4 + 3*o**3 + 56*o**2 - 2*o - 61796020?\nAnswer: 3928*o**3 + 9*o**2 + 112*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -219 + 5964*j + 636 - 209 - 208. Let m(d) = d. Give m(l(a)).\nAnswer: 5964*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 319, 327, 349, 391, 459?\n\"Answer: x**3 + x**2 - 2*x + 319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s + 64*z - 60*z = 4, -3*s = -2*z + 22. Put s, 470, -2, 1 in descending order.\nAnswer: 470, 1, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -48.4 + 44.184. Let d = 0.016 + l. Let y = 4 + d. Round y to zero decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -3*u + 63. Suppose 0 = 3*l - 6. Suppose 0*s + 44 = l*s. What is the smallest common multiple of s and u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(11)*-1 + 2 + (sqrt(44)\/sqrt(4))**2*-5 - (sqrt(22)\/sqrt(2) + 2 + (-2*(sqrt(11) + sqrt(44))**2 - sqrt(11))).\nAnswer: -sqrt(11) + 143","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n + 2*n + 5*y = 11, -4*y + 10 = -2*n. Solve -d + 10 = -n*k, 4*k + 6 - 2 = -d for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (5 + -7)*(-3)\/2. What is the tens digit of u - 60\/(-3)*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8276 is divided by 24\/(-9)*((-8)\/36 + 14099\/(-828)).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -5477.0000333 - -5477. What is y rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 893557 and 5243?\nAnswer: 749","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (2 + -3)\/(-4) + (-322615)\/(-20). What is the hundreds digit of l\/27 - (-28)\/(-63)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 54*c**2 + 48. Let k(i) = -i**2 - 1. Calculate 3*b(m) + 144*k(m).\nAnswer: 18*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 49259860?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/(4\/(-32)*-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mvv when three letters picked without replacement from vmmvmvmmmmv.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -942855526*g**2 - 875391796?\nAnswer: -1885711052*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -53370*o**6 + 51204*o**2 wrt o?\nAnswer: -6404400*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 1371 * 2\nAnswer: 2742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 95778889?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*l - 2*l + 0*l - 3*l as d*l + u and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((1\/4)\/((-6)\/(-8)))\/((-64)\/87792*-31).\nAnswer: 59\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -5*k**2 - 190*k + 4024. What is j(15)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -2*w**2. Let k(m) be the first derivative of -7*m**3\/3 + 2*m - 45. Determine b(k(a)).\nAnswer: -98*a**4 + 56*a**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = z**2 - 2*z - 1. Let u be r(-2). Suppose 4*c - 21 = -p, u*p - 2*p - 9 = 4*c. Let n = 13 + 2. Solve h + c*h = n for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -8 - (11 + -19 - -3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*y = -2*l + 44, 0 = 51027*y - 51031*y - 92 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 15 divided by 479479\nAnswer: 15\/479479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 28, 5, -32, -83, -148, -227, -320?\nAnswer: -427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -g**3 - 22*g**2 - 131*g + 54. Determine a(-19).\nAnswer: 1460","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 3\/50 of a centimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 5\/(-595)*(-567)\/(-162)\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 7*y**2 - 11*y**2 + 19*y**2 + 2*y - 2*y**2 - 2*y + (-3*y - 2*y + 3*y)*(-y + y - 2*y).\nAnswer: 17*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -1, -7, -4 in descending order.\nAnswer: 3, -1, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yhih when four letters picked without replacement from {h: 2, i: 1, y: 1, u: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -3*m - 97. Let d be c(-38). Suppose 0 = -10*v + 13 + d. What is the highest common factor of v and 69?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -16 + -5. Let m be 14\/j - 274\/(-6). Let d be 146\/10 - 6\/(-15). Calculate the highest common divisor of m and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1.77 + -0.23. Which is the nearest to n?  (a) 0  (b) 4  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -9327*o**3 - 240*o**2 - 39421*o - 302*o**2 + 39424*o wrt o?\nAnswer: -55962","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1931 + 1936. Which is the closest to 1?  (a) -1\/6  (b) 17  (c) -2\/23  (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 51107, 102215, 153323, 204431, 255539?\n\"Answer: 51108*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 237676669 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Add -195.755034149 and -1.\nAnswer: -196.755034149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.4208 rounded to 2 decimal places?\nAnswer: -1.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*g = -5*i + 9, 0 = -119*g + 124*g - 3*i - 1 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 2245 = 3*g, -g + 365 + 376 = -4*u. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 33 + -42. Let a = s + 14. Let c(t) = 2*t**2 - 4*t + 3. Let h be c(2). Solve 4*x + 7 = 3*g, h*g = g + a*x for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -30, -12843 in descending order.\nAnswer: 2, -30, -12843","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*z - 179224 + 179198. Suppose 3*q - 1 = 4*v, 4*q + q - 25 = -5*v. Calculate the remainder when z is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*o**3\/4 + 8183829*o**2\/2 - 32735280*o + 65470536.\nAnswer: -3*(o - 5455878)*(o - 4)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rmzrhmzmmrmhmrrrrrr. Give prob of sequence zmm.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 153515 to the power of 1\/2, to the nearest integer?\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 23.3 + -23. Suppose 4*k - 5 = -1. What is the closest to k in 1, -0.5, h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -4*n**2 + 4*n. Let x(w) = 5*w - 12. Let m(o) = 16*o - 38. Let j(g) = 6*m(g) - 19*x(g). Determine j(s(t)).\nAnswer: -4*t**2 + 4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 12714, 12652, 12582, 12504, 12418?\n\"Answer: -4*k**2 - 50*k + 12768","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -57*a + 389639 + 40654 = 0. What are the prime factors of a?\nAnswer: 7549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(4\/5)*q*q*q**(-2\/25))\/(((q\/(q*q\/(q\/(q*q**(-5)))*q)*q)\/q)\/q*q*q**2) assuming q is positive.\nAnswer: q**(-57\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4 + -17 - 3) + 11 + -24.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -226614 - -1132?\nAnswer: -225452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Let d be (1\/(-2))\/(1\/(-6)). Suppose d = w - 7. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -171.7 - -174. Let n = u - -31.7. Which is the biggest value?  (a) 2\/11  (b) -1  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 154 minutes after 9:11 PM?\nAnswer: 11:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -8, -2\/7, -42736, -1 in decreasing order.\nAnswer: -2\/7, -1, -3, -8, -42736","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = f - 1. Let b(c) = c**3 + 13*c**2 + c - 6. Let s(q) = -b(q) - v(q). List the prime factors of s(-13).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/(u**(-1\/2)*u)*u*u**(-7)*(u**(1\/2)*u*u)**(-7\/5))\/((u\/(u\/(u*u*u**(-2\/11)))*(u*u\/u**4)\/u)\/(u**6\/u**(2\/13))) assuming u is positive.\nAnswer: u**(-282\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence iiiq when four letters picked without replacement from iiiqqiqiqqqiq?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.2  (b) 315  (c) -75\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 65 divide 437748?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 150\/6 + (0 - 2). Suppose -t = -5*w + 49 + n, -w = -1. Let p = -48 - t. Calculate the highest common divisor of p and 190.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x*x**(-2\/19)*x**16*x*x**(9\/2)*x**(2\/15) assuming x is positive.\nAnswer: x**(12841\/570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 46*n = -224 - 6 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 25535 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -2*d - 4. Let f be s(-8). Suppose -3*u + f = 0, -6*b + 3*b + 366 = 3*u. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.697 + 0.037. Let g = -0.34 + h. Let x = 1\/275 + -283\/2200. Which is the biggest value?  (a) g  (b) -0.3  (c) -0.8  (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 235 minutes before 9:55 AM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from uuuu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -130869*r + 1 - 4 + 122314*r + 3.\nAnswer: -8555*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = 229*b - 2290. Let g be j(10). Let l = -2 - -1. What is the third smallest value in g, l, -0.5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (36\/(-45))\/((-42)\/(-15)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -372 - -649\/2. Let p = 74025 - 665561\/9. Let h = 15157\/198 - p. Calculate the common denominator of i and h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find u such that 2*u**5 - 8834*u**4 + 9768188*u**3 - 29251580*u**2 + 29233922*u - 9741698 = 0.\nAnswer: 1, 2207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*q = 5*n - 55, 9443*q + n + 29 = 9439*q for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 725088\/(-4472) + 117 + 225\/5?\nAnswer: -6\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*j**3 - 3*j**3 - 3*j**3)*(-4*j + 2*j - 2*j)*(-1 - 2 + 4).\nAnswer: 8*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -43 - -50. Let y = -24.5 - -18. Let q = y + h. Sort 0, q, -1.\nAnswer: -1, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1, -2, 19.9, 1\/42, 2, 0.06?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 561293 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + 2*q = -40. Suppose -105 = -11*f - 50. Sort -3, 4, f, q.\nAnswer: q, -3, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (45*v**2 - 9*v + 9*v)*(-5*v + 2*v + 4*v) + (0 - 1 + 0)*(-2 + 1 + 3)*(v**3 + 1 - 1) to l*v + h + x*v**3 + t*v**2 and give x.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -4531, -4529, -4529, -4531, -4535, -4541, -4549?\n\"Answer: -o**2 + 5*o - 4535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 178504?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -13 + 13. Suppose x = -k + 3*b + 8, b - 1 + 2 = 0. Solve 2*d - 16 = -4*u, 0*d - k*u = -d - 6 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + -4 + ((sqrt(200) - sqrt(200)*-1) + 3 + sqrt(6)\/sqrt(27))**2.\nAnswer: 122*sqrt(2) + 7505\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 450 is divided by 120?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 34677 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 138 - (-4 + 16\/4).\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -1\/2, 1\/11, 0.5, -4, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -191*u**3 + 399*u**3 - 185*u**3 - 1.\nAnswer: 23*u**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2615 is divided by 97?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -29 - -45. Suppose 0*d + 4*d - f = 0. Suppose d*g + g - 80 = 0. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 0*n**3 + 57 + 133*n**3 - 72*n**3 wrt n.\nAnswer: 183*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 393 + 107c?\nAnswer: 1442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 4, v: 3, s: 7}. What is prob of picking 3 v?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vv when two letters picked without replacement from uuuuuuuuuvuuuuuuvu?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 92270904.4 + -92660659.3902. Let h = 389874 + c. Let g = 119 - h. Round g to three dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find d, given that d**2\/4 + 3240*d - 1578025 = 0.\nAnswer: -13430, 470","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = u**2 - u - 1. Let t be 13\/26*(-2 + 0). Let d(s) = -6*s**2 + 5*s + 8. Let h(y) = t*d(y) - 5*k(y). Let p = -1 - -4. Give h(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) be the third derivative of -s**4\/12 + 7*s**3\/6 - 21*s**2. Suppose -3*i + 4*o = -1, 5*i + 0 = o - 21. Let a(u) = -u + 3. Calculate i*a(v) + 2*d(v).\nAnswer: v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -104*d + 51672 = 45016 for d.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = w**3 + 8*w**2 - w - 2. Let t(h) = 3*h + 0*h**3 - 3*h**2 + 2*h**3 - 5*h - 3. What is the smallest common multiple of t(3) and k(-8)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -49 and 4.127.\nAnswer: -44.873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1\/12, 2, 1\/4, 4, 9, 0.4?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -133, -123, -99, -55, 15, 117, 257?\nAnswer: 441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r + 4*x = -402 + 22, -x = -4. Let g = r + 403. What is the tens digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 16475, 16465, 16433, 16367, 16255, 16085?\n\"Answer: -2*b**3 + b**2 + b + 16475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + ((-2*-5*(1 + sqrt(192))*-1 + 3)*1*4)**2.\nAnswer: 17920*sqrt(3) + 307980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) be the first derivative of i**5 - 5*i - 3. Differentiate v(d) wrt d.\nAnswer: 20*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -c**2 - 2 + 88*c**3 + 90*c**3 - 176*c**3 + 3*c**4 - 12*c to the form l + w*c**2 + o*c**4 + i*c**3 + s*c and give s.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (2\/(4\/(-6)))\/((-53)\/159). Solve -11 = 2*o + c*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 12*b - 3*b + 36. Let g be -3 + 1\/(3\/15). Let j(u) = -6*u - 7 - 8 - u**g + 9. Determine j(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 28703 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z + 31 = 2*v, -v - z + 4*z = -15. Let f = 68 - 44. Calculate the greatest common factor of v and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -100 + 115 = 5*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) 2774.6  (b) -0.098  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -2*o. Let r(a) = -a**2 + 9*a - 3. Let m be r(9). Give h(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {j: 18, w: 1}.\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.0539 - 153.9461. Let v = -153.7 - x. Which is the second smallest value?  (a) -3\/2  (b) 2\/27  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 11 + -11 + -3 - (1 + 3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + (-5 - (8 - 3)) + 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j - 13 = -m, 3*j = -4*m + 1 + 7. Let r = -9 + 15. Let q be (-14)\/r + 4\/(-6). Which is smaller: j or q?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6501 divided by 14652\nAnswer: 197\/444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 1 r when two letters picked without replacement from gjgjrrrj?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 134166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(5\/2)*(y*y**(4\/3)*y*y)\/y)**33 assuming y is positive.\nAnswer: y**(385\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) be the first derivative of 140*z**3 - 13*z**2\/2 + z + 867. What is the second derivative of f(l) wrt l?\nAnswer: 840","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Differentiate -4 + 4 - 5*w**4 - 8 - 21*w**4 wrt w.\nAnswer: -104*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4319002.6 + 0.4\nAnswer: -4319002.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:28 PM and 8:56 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 33549 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 3*a**2*m**3 + 2*a*m**3 - a + 13*m**3 - 1 wrt a?\nAnswer: 6*a*m**3 + 2*m**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1.1?  (a) -5  (b) 0.3  (c) -25.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10 (base 5) to base 13.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3923*j + 2428 = -5077*j - 2188 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000006857 rounded to six dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -95*a + 78*a = 34. Let h(p) = 3*p**3 + 2*p**2 + 3*p. Let k(r) = r**3 + r**2 + r. Calculate a*k(c) + h(c).\nAnswer: c**3 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 478*i**5*o - 3*i**5 - i**3*o - 2*i**2*o - 3247*i**2 - 2*o wrt i.\nAnswer: 28680*i**2*o - 180*i**2 - 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p*p*(p*p**(-2\/31))\/p)\/p)**(-2\/31) assuming p is positive.\nAnswer: p**(-58\/961)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -g**3 + 2. Let d be t(0). Let v(f) = f**2 + f + 3. Let s be v(0). Let y(k) = -s + 3 + d*k. Let n(z) = -2*z. Calculate y(n(b)).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 3 + 0 + 275*r + 40*r. Is c(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 30 (base 4) in base 8?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 2641131993 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -114 take away -83?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 725, 4, 1 in ascending order.\nAnswer: 1, 4, 725","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -496, -509, -522, -535, -548?\nAnswer: -561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 253108735, 253108731, 253108725, 253108717?\n\"Answer: -d**2 - d + 253108737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 694.8269 centuries in decades?\nAnswer: 6948.269","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 - 5 + c + c.\nAnswer: 2*c - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a = 2*h - 14 + 3, 2*a - 2*h - 4 = 0. Suppose -4*q - 30 = -5*i, -3*q = a*i - 6*q - 15. Is i smaller than 29\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = y - 20. Suppose 5*l + 5*l = 9*l. Suppose 4*q - y = -l. Calculate the least common multiple of 8 and q.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -37442 + 37443.03892. What is n rounded to one decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -14*r**3 + 48*r**2 + 795*r - 5. Is j(-14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 2*i = 7 + 1, -i + 18 = 5*v. Suppose v = h + h. Suppose h*w + 0*w - 26 = 0. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 8 - 5. Let g(y) = 5*y**3 - 3*y - 4. Let l(f) = -f**3 + 5*f**2 + 8*f - 8. Let r be l(6). Let z(q) = -4*q**3 + 2*q + 3. What is b*g(v) + r*z(v)?\nAnswer: -v**3 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 564, -19, 2.\nAnswer: -19, 2, 4, 564","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 214*j - 9100 = 227*j + 87*j for j.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 470934?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y = -4*y + 354. Let m = y - 99. Calculate the greatest common divisor of m and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) be the second derivative of -j**4\/20 - 129*j**3\/5 - 49923*j**2\/10 - j - 196. Factor b(w).\nAnswer: -3*(w + 129)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (6 - 5 - 3)*((3 - 7 + 3)*(v + v + 0*v) + 2*v - 2*v - 2*v + 745 - 1659*v + 772 + 1664*v) to c + o*v and give c.\nAnswer: -3034","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o**(-3)\/o)\/(o\/o**4)*(o**(-1))**(-3\/10) assuming o is positive.\nAnswer: o**(3\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1 + (3 + -3)\/(-2) and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 298, -7, 0 in ascending order.\nAnswer: -7, -3, 0, 298","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2 - -2.1. Let x = 120\/11 - 382\/33. Let v = 449\/1353 - -2\/1353. Which is the nearest to -2?  (a) v  (b) x  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 60*d**2 - 11 + d + 80*d**2 + 3 - 240*d**2.\nAnswer: -100*d**2 + d - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5814304 is divided by 226.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -4*k. Let y(l) = 23*l. Give y(h(v)).\nAnswer: -92*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*q - 3*t = -6, -191*t + 6 = -188*t for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from twtwtttttt. Give prob of picking 1 w and 1 t.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 0 - 3*h - 4 + 21*h**2 + 2. Suppose 0 = a + 2 - 1. Is g(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1 + -2. Let i = -0.045 - -4.045. What is the nearest to 1 in i, k, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -2*c - 2. Let g(t) = -5*t - 5. Let p(v) = 3*g(v) - 7*i(v). Let z(f) = 7*f - 2. Let b(w) = -4*p(w) + z(w). Is 22 a factor of b(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1409857, 1409844, 1409831, 1409818?\nAnswer: 1409805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 41 minutes after 1:55 AM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.5, 3, -198, 4\/13?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 - (4 - (13 - 4)) - -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-6\/11)*v*v**(-19))\/(v\/((v\/(v\/(v\/(v\/(v**(2\/49)*v*v)))))\/v)*v**1\/v) assuming v is positive.\nAnswer: v**(-9974\/539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) be the second derivative of r**7\/252 + 17*r**6\/180 - 5*r**5\/8 - 317*r**4\/72 - 173*r**3\/18 - 10*r**2 - 2419*r. Factor y(z).\nAnswer: (z - 6)*(z + 1)**3*(z + 20)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -q**3 + 34*q**2 - 31*q - 66.\nAnswer: -(q - 33)*(q - 2)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 66, -40, -218, -468, -790, -1184, -1650?\n\"Answer: -36*m**2 + 2*m + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 292 minutes before 1:53 PM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -142 and 1.14.\nAnswer: -161.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/(s**(-2\/111)*s)*s*s\/(s**(-44)\/s))**(-16\/7))**(-3) assuming s is positive.\nAnswer: s**(83504\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1744 is divided by 297?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 22 (base 4) to base 14.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.03568 and -380?\nAnswer: -13.5584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 175350000 rounded to the nearest 1000000?\nAnswer: 175000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*g + 3*g - 7*g)*(-3*g + 0 + 0) + 0*g**2 - 4 + 7 - g**2.\nAnswer: 2*g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) be the first derivative of r**3 + 1560*r**2 + 811200*r + 247. Factor l(f).\nAnswer: 3*(f + 520)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -11*f**4 + 12*f**3 - 5*f**2 - 12*f + 11. Let t(b) = 39*b**4 - 42*b**3 + 18*b**2 + 42*b - 39. Let g(d) = -18*r(d) - 5*t(d). Factor g(o).\nAnswer: 3*(o - 1)**3*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14230 is divided by 6646.\nAnswer: 938","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = 20308*a**2 - 6*a - 5. List the prime factors of c(-1).\nAnswer: 23, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 4*m - 2. Let r be -5 + 3 + 0 - (m + -27). Calculate the highest common factor of 8 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**14\/r)\/r**(1\/66)*r**(-44)*(r**(-9)\/r)\/r assuming r is positive.\nAnswer: r**(-2773\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 63, 55, 43, 27?\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 240 is divided by 82?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 356.71 to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 133 a factor of 165033553?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 0.83 times 0.04\nAnswer: 0.0332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 336 - 23*y**2 + 17*y**2 - 334 + 67*y**2 to a*y + q + t*y**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1204 - 742. Calculate the least common multiple of a and 15.\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 800918\/33 + -74779\/3. Let a = m + 656. Put 1\/6, 2\/13, a, 0 in decreasing order.\nAnswer: 1\/6, 2\/13, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 10804, 24513, 38222, 51931, 65640, 79349?\nAnswer: 93058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = i**2 + 166*i + 6696. Calculate b(-69).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 44 a factor of 45445532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16*p**2 - 43*p + 12*p**2 - 193 + 191.\nAnswer: -4*p**2 - 43*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 91532069?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 143*s - 160 + 875 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = 4*m**2 + 118*m + 104. What is i(-29)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -792.4 to the nearest ten.\nAnswer: -790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/((a*a**0)\/a)*a*a**(-2\/5)*a*(a**(1\/3))**(-1\/16))**(16\/7) assuming a is positive.\nAnswer: a**(619\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*u*(u*u**(-2\/9))\/u*u*u)**(1\/7)*(u*u\/((u**(-1\/23)\/u)\/u))\/((u*u**(-2))\/u) assuming u is positive.\nAnswer: u**(9539\/1449)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4*2\/(-144)*(10 + -13).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -18\/13?  (a) -1\/12  (b) -5  (c) -0.058  (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -115 or 315?\nAnswer: -115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -228.91 rounded to the nearest integer?\nAnswer: -229","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1890 is divided by 310?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*f**3 + 15*f**3 - 40*f**3 + 13*f**3.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2860708 + 1547308. What is u rounded to the nearest one hundred thousand?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1750*c + 23136 = 994*c + 997*c for c.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 482559 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 91224500 to the nearest integer?\nAnswer: 9551","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -94, -102, -92, -58, 6?\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -39, 4, -4 in decreasing order.\nAnswer: 4, 0, -4, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -886.4  (b) 3  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -180 = i - 6*i. Suppose 3*v = v + i. Does 11 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 126 divide 416?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 80 and 1387410?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 508651.2 to the nearest ten thousand.\nAnswer: 510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Determine w so that 5*w**4 + 16610*w**3 + 16249785*w**2 + 3870682200*w - 7806496500 = 0.\nAnswer: -1485, -354, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 906268 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: Which is the nearest to -0.2?  (a) 0  (b) -3  (c) -0.092  (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -14443, -29023, -43603?\nAnswer: -58183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 3193517 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -294*i**3 - 18901*i**3 - 7125*i**3.\nAnswer: -26320*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 69 + -68.61. Let k = 0.11 + i. What is the closest to -2 in k, -0.4, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 72 + -42. Suppose -18*d = -24*d + q. Let j(z) = d*z**2 + 23*z - 47*z + 22*z - 5 - z**3. Calculate j(5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 552 divide 11170578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -4*1*1\/(-2). Let u be -1 + 3 - o\/(-2). Suppose g + 5*k = u*g - 209, 5*k + 403 = 4*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 77*h - 14425 = -500*h for h.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 2*t**2 + 11*t + 6. Suppose c + 5*b - 25 = 0, 0*c + 55 = 4*c + 5*b. Let z(s) = -s - 1. Let l be z(c). What is the hundreds digit of v(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t = 2*s + 8, -31*s + 27*s = 16. Suppose t*i - 3*i - c = -2019, -5*c = 3*i - 2031. Does 31 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 0.5, -10 in decreasing order.\nAnswer: 0.5, 0, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -13*j**4 + 386*j**2 wrt j?\nAnswer: -312*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16*p + 0 + 5*p + 0.\nAnswer: -11*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 592, 3, 0, 2 in increasing order.\nAnswer: -4, 0, 2, 3, 592","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1449 - 1443. What is the remainder when 86 is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 34 and 662983.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + 22 - (186 - 172)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 15856\/120 - (-2)\/(-15). What is the greatest common divisor of 44 and y?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0 + 2. Let g = 455 - 450. Which is the biggest value?  (a) -4  (b) g  (c) 1\/10  (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-9443)\/(-43168))\/((-728)\/(-96)).\nAnswer: 3\/104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4\/(-4))\/((-14)\/(-4)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = r**2 + 6*r - 4. Let g be o(-7). Suppose -4*h - 16 = 0, 0*h = f + 5*h + 17. Suppose 0 = g*s - 0 - f. 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 value of (4\/(-26))\/(90\/(-135)*6\/4)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 764 a factor of 5551988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 113973 not equal to 113869?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = 314*p - 3022. Give z(15).\nAnswer: 1688","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) be the third derivative of k**8\/20160 - k**7\/2520 + k**6\/720 - k**5\/20 + 2*k**2. Let h(p) be the third derivative of u(p). Factor h(d).\nAnswer: (d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = h**3 + 6*h**2 - 3*h + 3. Suppose -g + 12 = -3*g. What is the remainder when 60 is divided by j(g)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -1*1 - (63 + -70). Let a be ((-1)\/(-4))\/((-6)\/16). Sort x, a, -1\/3, 0.3 in increasing order.\nAnswer: a, -1\/3, 0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -115, -172, -215, -238, -235, -200?\n\"Answer: q**3 + q**2 - 67*q - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 81\/(-162) + 21602\/4 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 62 - 56 = 2*d. Let f(v) = 693*v - 52. Is f(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-27)\/8 - 126\/(-336). Let d(s) = -9*s**3 - 2*s**2 - 3*s + 10. List the prime factors of d(l).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 7) to base 11.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 48*a**2 + 61*a**2 - 169*a**2 + 2 + 8*a + 53*a**2 - 2.\nAnswer: -7*a**2 + 8*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -131.7 - -136.7. What is the smallest value in h, -6\/5, -10, 0.2?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -66.89092 rounded to the nearest integer?\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.5 and -0.0210055.\nAnswer: -0.5210055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.04 plus -16581?\nAnswer: -16580.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00517 to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 25, -28, -17, 3.\nAnswer: -28, -17, 3, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) be the second derivative of -q**4\/12 - q**3\/3 - 3*q**2 + 80*q + 14. Let h = -1 + 1. Suppose 3*d - d + 8 = h. Give u(d).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -j**2 + 8*j - 2. Let s be z(7). Let i(k) = 39*k**3 + k**2 + k - 1. Let c be i(1). What is the highest common factor of s and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*f + 16 = 4*c, -c + f - 8 = -3*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -7*u. Let v = 12 + -6. Let z be (-28)\/v + 2\/3. Let c(g) = -g. Let i(b) = z*c(b) - m(b). What is i(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5)\/2*16\/10.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -21897, 6, 0 in decreasing order.\nAnswer: 6, 4, 0, -21897","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 0 - (0 - 1 - 0). Let t be r*(-16)\/7 - -2. Let w = -2817 - -2816. Are w and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:29 PM and 11:47 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 667.78011 to 1 dp.\nAnswer: 667.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -53133343 (base 6) to base 11\nAnswer: -970126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-949308*m**2 + 949990*m**2 + 0*m**3 + 2*m**3 + 2)*(4*m + m**2 - 4*m).\nAnswer: 2*m**5 + 682*m**4 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 44600 = -2*q + 27*q. Suppose -19*p + 11*p = -q. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3 - 6. Let n(i) = i + 6. Let v be n(-7). Let q be ((-1)\/(-10))\/((-2)\/(-4)). Which is the nearest to 0?  (a) q  (b) f  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4117 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = l**3 + 15*l**2 + 15*l + 19. Suppose -12 = 2*m - 4*w, m = 2*m + 12*w + 62. Calculate f(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 47\/56 and (8937\/(-1260))\/(-1) - 8?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4\/21505 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 699, 1177, 1875, 2787, 3907, 5229?\n\"Answer: -a**3 + 116*a**2 + 137*a + 447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 40630.99l in millilitres?\nAnswer: 40630990","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 57264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*b**2 - 2*b**2 + 4*b**2)*(-42*b + 106 - 22*b - 107).\nAnswer: 128*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10 + -222?\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 48 divide 23681328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*c - 5*m - 19 - 2, 3*c - 3*m = 15. Suppose -6 = -b - t, -c*t = -5*b - t + 24. Solve 2*f - b*p = -10*p + 10, 4*f + 2*p = 20 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/2 of a tonne in kilograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4021183?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -228 divided by 19.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: ((-1)\/3)\/((304\/19)\/192)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 15 + -8. Let q(h) = 3*h - 7. Let w be q(j). Let l = -14 - -84. What is the highest common divisor of l and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 725 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand -i + i + 2*i + (281 - 281 - 302*i)*(4 + 1 - 2).\nAnswer: -904*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -95 at most as big as -97?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -6*y**2 - 25*y + 28. Let t be a(-5). Sort 34, -4, t.\nAnswer: -4, t, 34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*(sqrt(168) + (2*sqrt(168) - sqrt(168)) + sqrt(168) + sqrt(168) + sqrt(168)))\/(3*sqrt(96)))\/(2*sqrt(144)*4*3).\nAnswer: -5*sqrt(7)\/864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k = 4*l - 24113, -5*k + 5*l - 6105 + 46305 = 0. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -d**3 + d**2 + d. Let v = 91 + -88. Let n(g) = g**2 - 4*g**2 + 10*g**2 - 7*g**3 + v*g. What is n(a) - 6*s(a)?\nAnswer: -a**3 + a**2 - 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -2*z**2 - 4*z - 7. Suppose -2*i = -5*t + 41 - 60, 18 = -4*t + 3*i. Let m(b) = 3*b**2 + 7*b + 14. Calculate t*m(y) - 5*v(y).\nAnswer: y**2 - y - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-24)\/(-30)*20\/12?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5016301?\nAnswer: 5016301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(44)\/sqrt(64) + (sqrt(11) + (sqrt(66)*2)\/sqrt(6))**2 + 0.\nAnswer: sqrt(11)\/4 + 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 126781 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 10736.99, 1\/3, 5, 3 in ascending order.\nAnswer: 1\/3, 3, 5, 10736.99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -21 - -27. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = 2*x**2 + 1128*x - 301721. What is u(-762)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 280757?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 66 (base 8) to base 9.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-105)\/(-70))\/(-3)*56.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-22)\/(-66))\/(3\/(-39)*(-336)\/(-126))?\nAnswer: -13\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) be the third derivative of 11*w**5\/20 - w**4\/6 + w**3\/6 - 5*w**2 + 9. Find the second derivative of q(l) wrt l.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 50*a + 3141. What is v(-59)?\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00004167 rounded to six decimal places?\nAnswer: -0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 664 is divided by 57?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 840 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -1898.46 to the nearest one hundred.\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1175566*j*p**2 - j*p - 1786*j + 72*p wrt p?\nAnswer: -2351132*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(40)\/sqrt(4)*-3 - sqrt(490)*1)\/(sqrt(98) + sqrt(98) + sqrt(98)*-1*-4)*5)**2.\nAnswer: 3125\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -h**3 + 70*h**2 - 256*h - 8152. Determine n(64).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.3095186268 to three dps.\nAnswer: -0.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -b**3 - 6*b**2 - 6*b - 3. Let m be t(-5). Suppose -m*k + 746 = n, 5*k + 1125 - 365 = n. Suppose 0 = -0*a - 6*a + n. What are the prime factors of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -135 - -95. Let i = t - -250. Let j = i + -209.999809. Round j to five decimal places.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-12 - 8 - 14)*(-2*q + 5*q - 2*q).\nAnswer: -34*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express -405*w**2 + 48*w**2 + 202*w**2 + (-1 - w**2 + 1)*(-5 + 4 + 2) as i + o*w + g*w**2 and give g.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 174538 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = q**2 - 6*q + 4. Determine h(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 463 minutes after 7:11 PM?\nAnswer: 2:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.0442 - -0.0046. What is n rounded to 3 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -w**3 - 5*w**2 - 2*w - 51. What are the prime factors of r(-8)?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.091346 and -1205?\nAnswer: 110.07193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*y - 4*x - 41, -5*x + 3 = 5*y + 48 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -31.5811 - -0.5811. Let i = -1.3 + 0.3. Which is the third smallest value?  (a) i  (b) 5  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate -200 - -129 - ((-21 - -15) + (3 - 2)).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 468855*b + 937738. What is q(-2)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -965*p**3*u**2 + 965*p**3*u - 6*p**3 - 2*p**2*u**2 - 28*p*u**3 + p*u - p wrt u.\nAnswer: -1930*p**3 - 4*p**2 - 168*p*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-315)\/13230)\/((-2)\/28)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-4 - -3)*1*-71. Suppose 0 = 5*j + s + 139. Let h = 3 - j. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 41882540.98 + 4402828422.02. Let h = 4444711160.9999791 - s. Let p = h + -198. What is p rounded to six dps?\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 2 q when three letters picked without replacement from wwqwqwwqqwqwwwww.\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -6 + 0. Let a be (-2)\/w - (-8)\/3. Suppose 0 = 5*b - a*u - u - 31, 4*b - 4*u = 28. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 11*g**3*j**3*s - 9*g**3*j + 2*g**3*s - g**2*j**3*s - 1505*g**2*j*s wrt g?\nAnswer: 66*j**3*s - 54*j + 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 19*v - 47. Give x(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f - 330 = -5*c + 6*f, f - 264 = -4*c. Suppose 0 = -0*s - 5*s - 125. Let w = c + s. List the prime factors of w.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17*s**3 + 2*s**2 - 1704258 + 1704258.\nAnswer: -17*s**3 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -463*q - 12376 = 13*q for q.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ij when two letters picked without replacement from {b: 5, j: 5, r: 3, h: 1, i: 2}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 12*d**2 - 3*d - 1. Let l be 1*(3\/(-1) + 0). Let i be c(l). Let a = i - 70. Does 17 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3986?\nAnswer: 2, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -23*a**5 - 4648*a**4 + 9071*a + 15.\nAnswer: -460*a**3 - 55776*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 381 is divided by 196.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 8283 divided by -2?\nAnswer: -8283\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*d + 11 - 63. Suppose 9 = a - 2*p, 5*a - d = p + p. What is the units digit of ((3 - 163)\/(-4))\/a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) be the first derivative of -k**5\/60 + 2*k**3 + 8. Let j(y) be the third derivative of m(y). Let d(l) = -18*l**2. Give d(j(i)).\nAnswer: -72*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*j - 4*w + 46, -j - 21*w = -17*w - 31. Suppose -5*p - 34 - 16 = 4*s, 16 = -2*s + 2*p. Let t(l) = -l - 8. Let x be t(s). Solve y = -x*y - j for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 367465.81 to the nearest one hundred.\nAnswer: 367500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -594497022 divided by 6\nAnswer: -99082837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -2*q. Let a(u) = -20*u + 15*u + 6*u - 632*u**2 - u. Determine a(v(i)).\nAnswer: -2528*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2 - -4. Let z = v - -1. Let u(a) = 4 - a**z + 4*a**2 - 2*a + a**2 + 7*a. Give u(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -20*w + 92 + w**2 - 53 + 42. Calculate the lowest common multiple of 45 and v(17).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -a7 - 11744?\nAnswer: -1182b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 4 + 2)*(t - 6*t + 4*t)*(203 - 4*t - 203)*(7 - 3 - 2)*(3*t + 3*t - 7*t).\nAnswer: -24*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -747564 = 2*i - 15*q + 11*q, -4*i + 4*q = 1495124. Round i to the nearest 10000.\nAnswer: -370000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3 - -13. Let w = v - 10.4. What is the smallest value in -3, -1\/3, w?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*a**4 - 498*a**3 - 21024*a**2 + 307800*a - 979776 = 0. Calculate a.\nAnswer: -189, -72, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express -321 - 2*h**2 + 958 - 4581 - 1746 + 0*h**2 as i + j*h + u*h**2 and give i.\nAnswer: -5690","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + ((sqrt(1377) - (sqrt(1377) + -2 + sqrt(1377))) + 2)*-4)**2.\nAnswer: -864*sqrt(17) + 22176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 18*y**2 + 7*y - 18. Let q(v) = 44*v**2 + 15*v - 35. Give -5*m(x) + 2*q(x).\nAnswer: -2*x**2 - 5*x + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 165621227 to the nearest integer?\nAnswer: 549","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 8272 divided by -8?\nAnswer: -1034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1663 + -793. Calculate the common denominator of 1\/(-30)*u\/(-24) + -1 and 31\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) be the second derivative of 0 - 5\/3*y**3 + 19\/2*y**2 - 18*y. What is the derivative of b(d) wrt d?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15652 is divided by 1321?\nAnswer: 1121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -84*l + 87*l - 936. List the prime factors of l.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 - 1 - 3 + (-1 + 1 - 2)*(1 + 0 - 3) + 3 + 4 - 5 + 0 - 1 + 0 - 1 + 2 + 2)*(a + a - a)*(-a - a - 3*a) as g*a**2 + b*a + o and give g.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -9051016*v**3 + 3*v**2 + 32975028 wrt v?\nAnswer: -27153048*v**2 + 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) be the second derivative of 0*g**2 + 0*g**6 - 11*g + 1\/45*g**3 + 1\/315*g**7 + 0*g**4 + 0 - 1\/75*g**5. Find k such that z(k) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = s**3 + 7*s**2 - 2*s + 1. Does 15 divide c(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w*w**(-1\/15))\/w)**(-22)*(w*w**19\/w)**(2\/51) assuming w is positive.\nAnswer: w**(188\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:18 PM and 3:14 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 8*i**2 + 19*i + 230. Let t(q) = -q**2 - 3*q + 33. What is k(j) + 6*t(j)?\nAnswer: 2*j**2 + j + 428","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 12368916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -7*c + 19*c - 25*c**2 - 8*c. Let l(k) = 77*k**2 - 13*k. Let a(p) = -6*l(p) - 17*m(p). Find the second derivative of a(b) wrt b.\nAnswer: -74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 times 41?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 173\/171990 and -23\/49140.\nAnswer: 343980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2689 divided by -6.\nAnswer: -2689\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -443 + 1072. Suppose -8 = -2*q, 0*d + f = d - q. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 3 - 3\/((-120)\/91). Let l = k + -39\/8. What is the second biggest value in 1, l, -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -9*w**4 + 44*w**3 + 3509*w**2?\nAnswer: -216*w + 264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (840\/490)\/(6\/14*8\/(-12)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -346 = 361*v - 1790 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/5 in -4251, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (38 - 17 - 5) + 21.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**(2\/21)\/(h\/h**11) assuming h is positive.\nAnswer: h**(212\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -17230 - -17226. Let k be (-8)\/9 + (-2)\/(-3). Which is the second smallest value?  (a) o  (b) 1\/15  (c) 0.4  (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3081 by 237.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 17117042 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -9*z**2 - 11*z - 9. Let v = 143 + -142. Let l(b) = 0*b - 1 + 6*b + v + 5 + 5*b**2. Calculate 6*c(w) + 11*l(w).\nAnswer: w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4921 (base 11) to base 2.\nAnswer: 1100100100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/42)\/(1417\/(-117) - -12).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-10)\/(160\/(-304))*11\/(-121)*11?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by 3011297.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: ((-10)\/40)\/(3\/16)*18\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 343 is divided by 35.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -r - 112. Let i(k) = -4*k - 336. Let n(v) = -i(v) + 3*m(v). Let t(c) = -7823*c**2. Determine n(t(a)).\nAnswer: -7823*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 544 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2428 - -2430. Solve -4*g - 8*i + 6*i - 16 = 0, i = -f for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 25 divide 1810483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:38 AM and 2:05 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1731 is divided by 1455.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Add -1571392.5 and -14.\nAnswer: -1571406.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -2*y, -14*m - 1165 = -10*m - 3*y. Let h = m - -294. Solve -20 = -h*w - 0*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 147 + 102. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -4 + 7. Let z = w - -2. Suppose 4*l - 4*u = -2*u + 230, 2*u = -z*l + 292. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = a + 72. Let y be c(-7). Calculate the greatest common factor of y and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1161289 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = h**3 - 3*h**2 - 99*h + 233. Calculate s(12).\nAnswer: 341","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 0 + 1)*(3*z + 7*z + 20*z) + z - 4*z + z.\nAnswer: 58*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 117 minutes before 10:06 PM?\nAnswer: 8:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:26 PM and 7:06 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.2001964 rounded to three decimal places?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 - 48189*w**3 - 1 + 1 - 39927*w**3.\nAnswer: -88116*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -101020102 - 20?\nAnswer: -101020122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 70132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -8, -30, -1\/856 in descending order.\nAnswer: 5, -1\/856, -8, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -1666 + 1664 - 2*r + 906*r**2 - 912*r**2. Let n be 2*3 + 2\/(-2). Let j(z) = 12*z**2 + 5*z + 5. Determine n*v(i) + 2*j(i).\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/2*(-63)\/42?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -155601*j**3 - 5043991 wrt j?\nAnswer: -466803*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -117 - -162. Suppose 0 = 5*m - 3*m. Solve 4*c + 4*i + i + o = m, 3*i = c - 10 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) be the second derivative of -31*v**6\/30 - 19*v**5\/20 + v**4\/12 + 5*v**3\/6 - 114*v**2 + 10880*v. What is the third derivative of i(t) wrt t?\nAnswer: -744*t - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.5*-0.3130761.\nAnswer: 0.15653805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-398)\/20)\/((-4)\/530). Let b = n - 2618. Calculate the common denominator of b and 1 + ((-83)\/(-18) - 2).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*d - 117010 + 117010 - 8*d.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -m - 4*r + 2101, 5*m + 2*r - 6617 = 3942. What are the prime factors of m?\nAnswer: 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6b8 (base 13) to base 4\nAnswer: -102031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -588\/5, -0.33, 3 in ascending order.\nAnswer: -588\/5, -0.33, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -2, 5, 0, -94 in ascending order.\nAnswer: -94, -3, -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 7798*a**3 - 70*a**2 - 70*a - 70. Let z(l) = 339*l**3 - 3*l**2 - 3*l - 3. What is 6*i(u) - 140*z(u)?\nAnswer: -672*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -133, -205, -277, -349, -421?\n\"Answer: -72*w - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = 38*r**2 - 4*r + 47. Let a be x(3). Suppose -4*l + 2891 + 3193 = 0. Suppose -11*c - a = -l. Does 26 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 973 is divided by 191?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 381 and 7549769?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -7 + 8 - 9 + 2*k. Let l be p(7). Calculate the highest common divisor of 3 and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1183 and -0.21831.\nAnswer: 258.26073","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (10\/15)\/((-2)\/(-16)). What is b in 0 + 8\/3*b**5 + 10\/3*b**3 + 0*b - 2\/3*b**2 - i*b**4 = 0?\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 330 a factor of -6*1\/(-39) + 3926\/169*554?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1005445 (base 8) to base 7\nAnswer: 2152405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -m**2 + 0*m**2 - 2*m**2 + 0*m**2 + 2*m**2 - 3*m**2 + (0*m - m - m)*(0*m + 0*m + m) + (-m**2 - 3*m**2 + 6*m**2)*(105 + 106 - 221).\nAnswer: -26*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000116 rounded to six dps?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v*v**(-1\/32)\/v)\/v**(11\/6))\/((v**(-1\/9)\/v*v)\/((v\/v**(-8)*v)\/v)) assuming v is positive.\nAnswer: v**(2087\/288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15547 is divided by 3108?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 2.678 to zero decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/(-15) + 38\/(-95).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kvikkivckccckcqc. What is prob of picking 2 c and 1 k?\nAnswer: 15\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor r**2 - 1174802*r - 1174803.\nAnswer: (r - 1174803)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1373355?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 45 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:45 PM and 4:58 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 107172146 is divided by 695923?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1)\/(126\/(-16)))\/(19737\/(-710532))?\nAnswer: -32\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -20776 or -20777?\nAnswer: -20776","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 92873137 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d - 20 = 0, -107 = -i + 3*d + 2*d. Suppose 0 = 3*l - i - 14. Is 16 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 9 = -4*i - 10, i = -5*s + 11. Let x(u) = -2*u + 32*u**3 - 33*u**3 + 4 + 4*u**2 + 2*u - 3*u. Calculate x(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 8\/(-20) + (-1566)\/(-2240). Let n = -5\/32 + x. Which is the nearest to 2\/7?  (a) n  (b) 0.2  (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 74 = 5*v + 19*k - 21*k + 209 + 244, -3*v + 2*k = 225 for v.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 167, 159, 147, 131, 111, 87, 59?\n\"Answer: -2*r**2 - 2*r + 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -79\/1508 and 8\/23.\nAnswer: 34684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -1456*x. Let r(u) = u**2. Determine r(q(c)).\nAnswer: 2119936*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/(-24) - 510\/(-136)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(4 + (-1*sqrt(90)\/sqrt(3))\/((sqrt(120) - (sqrt(120) + (sqrt(120) - (sqrt(120)*-5 + sqrt(120))) - sqrt(120)))\/sqrt(12)))**2.\nAnswer: 12*sqrt(3) + 777\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 534 and 42?\nAnswer: 3738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -60, -152, -316, -588, -1004?\nAnswer: -1600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5000 is divided by 4624?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g + 138 = -5*s, 114 = -3*s - 2*s + 4*g. Is -1 - (s + 6\/3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-6344)\/(-78)*(-78)\/(-8). Suppose -4*k + c - 213 = 0. List the prime factors of k.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 2, f: 2, p: 6, n: 1, l: 6}. What is prob of sequence nffk?\nAnswer: 1\/14280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00743595 to 5 decimal places.\nAnswer: 0.00744","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 69608 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 41 (base 8) to base 3\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 72 is divided by -4*(2 - 3)*2\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -120186 + 120186 + 855*r**2.\nAnswer: 855*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does -2\/3 = 402\/391?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) be the second derivative of -2*o**3\/3 + 5*o**2 + 2*o. Let i be x(-8). Calculate the greatest common factor of 28 and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1912\/3 - -637. Let t = 1.8 + -2. Suppose 3 = -2*w - 5. Which is the biggest value?  (a) t  (b) w  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 65*t - 66*t - 5*h + 5, -t + 4*h + 5 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Do 305491 and 305494 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -31*s. Let a(x) = -16*x. Let n(v) = 7*a(v) - 3*o(v). Let r(d) = 158022 + 4*d**2 - 4*d**2 + 2*d**2 - 158022. Determine r(n(m)).\nAnswer: 722*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-10)\/35 - 394\/(-7) is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18 - 550*s - 55 + 18 + s + 17.\nAnswer: -549*s - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -3664 divided by 369\nAnswer: -3664\/369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*i = 3*i - 5*n - 25, -2*i + n - 25 = 0. Let g(r) be the first derivative of -r**2\/2 + 2. Let y(u) = 4*u. What is i*g(x) - 2*y(x)?\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) be the first derivative of -f**4\/13 - 118*f**3\/39 - 29*f**2\/13 - 74. Factor h(v).\nAnswer: -2*v*(v + 29)*(2*v + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.4?  (a) -0.3  (b) -4  (c) 7  (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*c**2 + 7450*c + 2775125 = 0.\nAnswer: -745","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tt when two letters picked without replacement from rttttrtrrrrttrtrrt?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gj when two letters picked without replacement from {u: 1, j: 1, g: 1, o: 2}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*a - a = 0. Suppose 3*z = -4*p + 10, z + 3 = 5*p - 0*z. Let m be 2*(-2)\/(-4*p). Is m bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -t**4\/4 - 17*t**3\/4 - 87*t**2\/4 - 91*t\/4 + 49.\nAnswer: -(t - 1)*(t + 4)*(t + 7)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -2579*j + 17. Let i(q) = 7739*q - 48. Give 17*a(h) + 6*i(h).\nAnswer: 2591*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1\/(-3) + 737\/33. Let r(n) = -14*n + 324. Suppose 5*x - 180 = -5*q, -x - 4*q + 80 = x. Calculate the least common multiple of x and r(o).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2343 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (42 + (-15015)\/360)*24.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 80*l - 17*l + 1 - 25*l. Let h(j) = 8*j + 1. Let q(s) = 2*a(s) - 4*h(s). Let g(m) = -5*m**2. Calculate q(g(n)).\nAnswer: -220*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j, 1 m, and 1 d when three letters picked without replacement from {d: 1, b: 1, j: 1, m: 1, g: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -856, 1300, 4894, 9926?\n\"Answer: 719*w**2 - w - 1574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4439970 = -20*v - 0*v - 1282670. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 144453?\nAnswer: 3, 179, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p - 117*o = -119*o - 4, -28 = -5*p - 2*o. Solve 16*h - 24 = p*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -760817, -1521636, -2282455?\n\"Answer: -760819*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5575242.\nAnswer: 2, 3, 929207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1094825 is divided by 430?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -17962, -35906, -53850?\nAnswer: -71794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 134209 and 412?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2 - -2947460.\nAnswer: 2947462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 890.5262 centuries?\nAnswer: 1068631.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = 55*t**3 + 5*t**2 + 6*t. Let j(c) = 109*c**3 + 9*c**2 + 11*c. Calculate -6*j(m) + 11*r(m).\nAnswer: -49*m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 322971646.\nAnswer: 2, 317, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 155 and 34220?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 453 minutes before 10:36 AM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -41036.5 times -0.02?\nAnswer: 820.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from jjiiijijiiji.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(468)\/sqrt(4) - (sqrt(13) + (sqrt(325) - (sqrt(325) + -1) - sqrt(325))))**2.\nAnswer: -14*sqrt(13) + 638","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1a2 + 2?\nAnswer: 1a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.5 in 24, -1, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24*j - 22*d + 6 = 22*j - 12*d, 3*d - 5*d = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 equal to 237\/85313?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -1 - (6\/(-14) - (-744)\/168). Let s be j\/(-1) + -46005 - 0. What is s rounded to the nearest one thousand?\nAnswer: -46000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 135*r**3 - 12*r**3 - 54*r**3 + 2 - 25*r**3.\nAnswer: 44*r**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*u**4 + 402*u**3 - u**2 + 4370*u + 2.\nAnswer: 48*u + 2412","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + 3*w = 6, -6*w + 4 = -5*m - 4*w. Suppose 5*r - 3206 - 3750 = -3*n, -2*n - 4*r + 4638 = m. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -w - 1. Let s(j) = -9*j + 7. Let u(o) = -2*q(o) + s(o). Let t = 25 - 30. Let m(b) = 2*b - 6*b + 6 - 1. Determine t*m(h) + 3*u(h).\nAnswer: -h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 1 a when two letters picked without replacement from {h: 12, a: 1}?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 15 - (-1 + 20 + (-106 - -105))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -531*z**5 + 2*z + 13 wrt z.\nAnswer: -10620*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 382 and -4.\nAnswer: -1528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Determine d so that -5*d**2\/2 + 89782905*d + 179565815\/2 = 0.\nAnswer: -1, 35913163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -467 + 330. Let q = p - -141. Sort 3, -1, q in decreasing order.\nAnswer: q, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = 242*y - 2453. Calculate h(15).\nAnswer: 1177","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + ((sqrt(68)\/(sqrt(8)\/sqrt(2)) + 3 + sqrt(153) + sqrt(17))**2 - (sqrt(34)*1*4)\/sqrt(2)).\nAnswer: 26*sqrt(17) + 435","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 s and 1 w when three letters picked without replacement from ywyygsyqysyyyysyqywy.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1821*k**2 + 470*k**2 + 455*k**2 + 455*k**2 + 456*k**2.\nAnswer: 15*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k = t + 74, 4*k + k + t - 394 = 0. What is the remainder when 124 is divided by k?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(sqrt(2736) + sqrt(2736) + 1) + ((1 + sqrt(2736) - sqrt(2736)) + 0 + sqrt(2736))**2.\nAnswer: -120*sqrt(19) + 2731","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 26, 35096 in decreasing order.\nAnswer: 35096, 26, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1179 or 0.1?\nAnswer: -1179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -2*w**2 + 62*w + 471. Determine q(-7).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - r - 2306 = 0, -9*r - 1736 = -3*d - 5*r. Suppose 0 = 3*o - 93 + d. Let k = -84 - o. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 956749 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 62*j + 1140 = 119*j for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -14*r. Let a(d) = -4*d. Give t(a(f)).\nAnswer: 56*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -4*m + 4. Let l(r) = -r - 1. Let d(p) = -3*l(p) + u(p). Let c be d(12). What is the units digit of (-77)\/c - 2\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) be the second derivative of 5*q**8\/28 + q**7\/21 - 13*q**4\/3 - 8*q. Find the third derivative of t(x) wrt x.\nAnswer: 1200*x**3 + 120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 238 + -133. What is the greatest common factor of 140 and p?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 14296?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 - 4 + 10*g + 3)*(9868 - 9868 - 358*g) to w + n*g + x*g**2 and give n.\nAnswer: 716","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 87 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 - 1 = 6*t. Let u be (3 + -1)*(-34)\/t. Let l = u + -23. Is l a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 10, w: 2}. What is prob of sequence sss?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 84*j - 25 = 89*j. Put 10, j, -2 in descending order.\nAnswer: 10, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = a**2 - 6*a + 7. Suppose -2*s + 5*s - 15 = 0. Let d be z(s). Find o, given that -1\/2 + 5\/2*o - 7\/2*o**d + 3\/2*o**3 = 0.\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t = -129 - 31. Let n be (20\/(-7))\/((-8)\/28). Calculate the greatest common divisor of t and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u = -u + 2*d + 5, -5*u + d = -8. Let h(n) = -n**3 - n**2 + 8. Calculate the least common multiple of (22\/(-3))\/(u\/(-3)) and h(0).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -201 + -543504?\nAnswer: -544105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w - 2*y = -40, 3*w + y + 20 - 55 = 0. Solve 7*k + 3 - w = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) be the second derivative of c**5\/5 + c**4\/6 - c**3\/6 - 11*c. Determine q(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.006063157 rounded to five decimal places?\nAnswer: 0.00606","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -0.91 - 9805\nAnswer: -9805.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 279809063 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence htt when three letters picked without replacement from hithhth?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -g**3 - 10*g**2 - 9*g + 7. Let v(z) = 5*z - 1. What is the smallest common multiple of v(1) and b(-9)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -14*n**2 + 14*n + 21. Let f(r) = r**2 - r - 1. Let h(w) = 21*f(w) + y(w). What is the second derivative of h(b) wrt b?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l\/(l\/(l\/(l\/(l*l**(-1\/7)*l)*l)))*l)\/((l*l*(l**(-1\/38)*l)\/l)\/l))**(5\/18) assuming l is positive.\nAnswer: l**(1175\/4788)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*p - 4178 = -1078. Let z = p - -316. Solve -4*r = -2*n - 28, 3*r - z = r - n for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pj when two letters picked without replacement from {p: 7, j: 4, u: 6, l: 1, n: 2}?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 266*t - 5278 = 203*t + 7574. Solve -11*j = 40*j - t for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 250 minutes after 9:35 PM?\nAnswer: 1:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -42, 4\/3, 90540, 3 in decreasing order.\nAnswer: 90540, 3, 4\/3, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 - 3*q)*(q + 5 - 5) - 7*q**2 - 2*q**2 + 3*q**2 + (-3*q + 0*q + 5*q)*(-q - 3*q + 2*q) - q**2 + 4 - 4.\nAnswer: -14*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -13 (base 12) in base 8?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 113625 to the power of 1\/2, to the nearest integer?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -68*l - 88436 + 213014 + 180062 = 0. Calculate the remainder when l is divided by 895.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -133731414*b**4 - 1296*b**2 - 27497*b.\nAnswer: -3209553936*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2.89999992 - -2.9. What is n rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2981343 to the power of 1\/3, to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a year in months?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = 2 - 3 + 3 + 2 - 3*c + 6*c**2. Let k be q(4). Calculate the highest common divisor of 8 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 4932\/15 + ((-9)\/45)\/(-1). Let w be -2 - -6 - 3*-1. What is the greatest common factor of t and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uumvmvumu. Give prob of sequence um.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*m = 3*r - 99, 0 = 113*r - 109*r - m - 28 - 104 for r.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 2, a: 4, k: 3}. Give prob of sequence kall.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(114)*2 - (sqrt(114) - -6*-2*sqrt(114) - sqrt(114)))\/(-1*sqrt(294) + sqrt(6)*-1*2).\nAnswer: -14*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 6733.714 centuries in millennia?\nAnswer: 673.3714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -2014*w**2 + 4*w - 55. Let q(p) = -2*p**2 - p + 18. What is i(b) + 3*q(b)?\nAnswer: -2020*b**2 + b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (2\/(-1) - -2) + 2. What is the second derivative of 7 - l*g + 5*g**2 - 7 wrt g?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.06*841.\nAnswer: 50.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = v**3 - 6*v**2 + 7*v - 7. Suppose 5*h = 3 - 88. Let w = -15 - h. Suppose d - 24 = -4*g, 0*g + w*d - 13 = -g. Give i(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) be the second derivative of 5\/14*c**7 + 3*c - 2\/3*c**3 + 8 + 3*c**2 - 1\/4*c**5 + 0*c**6 + 0*c**4. What is the second derivative of u(n) wrt n?\nAnswer: 300*n**3 - 30*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m*m**(-8)*m*m)\/((m**(2\/5)*m)\/m) assuming m is positive.\nAnswer: m**(-22\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20*s - 3*s**2 + 4*s**2 - 604*s.\nAnswer: s**2 - 624*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -241 or 29037?\nAnswer: 29037","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (-70)\/(-6)*432\/(-720)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 77035729*k**3 - 8396929569*k**2 + 3826776*k - 436 = 0.\nAnswer: 2\/8777, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4*1*sqrt(405) - sqrt(405) - (sqrt(405) - (sqrt(405) - ((sqrt(405)*-1 - sqrt(405)) + -5)) - sqrt(405)))*3)**2.\nAnswer: -1620*sqrt(5) + 14805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 2*c**2. Let h(s) = -15*s**2 + 3*s. Let i(u) = -30*u**2 + 5*u. Let q(z) = -5*h(z) + 3*i(z). Determine q(j(o)).\nAnswer: -60*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -7, -65, -229, -553, -1091, -1897?\n\"Answer: -9*b**3 + b**2 + 2*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -1070639, -1070612, -1070585, -1070558?\n\"Answer: 27*l - 1070666","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve y = 5*m + 52, 708*y = 711*y + 4*m + 53 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/69353 in 1\/9, -2\/7, -4?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 4*y - 5. Let u(o) = -o**3 - 5*o**2 - 6*o - 3. Let p be u(-4). Suppose 95*w - 3 = 98*w. Let m(g) = g - 1. Determine p*m(f) + w*v(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j = 7*t - 4*t - 1075, 2*j = -4*t + 1404. Suppose t + 109 = 14*s. 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: 17241340 (base 8) to base 16\nAnswer: 3d42e0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1 - 0. Let o = 0 + p. What is the units digit of (-10)\/(-2) + 0 + o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 83*s - 718 - 112. Solve 17*u - s*u = -28 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -7*d + 6. Let a(g) be the second derivative of g**3\/6 - g**2\/2 + 70*g. Determine -4*a(h) - w(h).\nAnswer: 3*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-3)\/((b**(-1\/7)\/b)\/b)*b*((b\/(b\/b**(2\/7)))\/b)\/b*b*b*b**(-5))\/((b**(-1\/2))**(-4)*b**(2\/15)*b\/(b**5\/b)) assuming b is positive.\nAnswer: b**(-389\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -8*r + 24. Let m be v(-17). Suppose p = -p + m. Let t be -2 + (-80)\/(-45) - 290\/(-9). Calculate the greatest common factor of t and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*k + 13444 = 4*o + 13462, 4*k - 3*o - 15 - 26 = 0 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 741 divided by 13?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 113572103 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.194591 months in decades?\nAnswer: 0.034954925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xsb when three letters picked without replacement from xssbssbsbbbbbbxb.\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = q + 7. Determine y(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is d in -2*d**2 - 1477412*d - 272843277218 = 0?\nAnswer: -369353","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 4 + 8)*(-k - 2*k + 0*k - 4*k + k + 2*k + (2*k + 1 - 1)*(3 - 4 + 0) - 3*k - 2*k - 2*k).\nAnswer: -195*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - 12 + 0 = 0. Suppose 0 = 3*u + x*a + a - 20, 3*a = -2*u + 12. Suppose u = 4*r + 4*o - 232, 8*r + 3*o - 282 = 3*r. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -s**3\/4 - 3*s**2\/2 - 9*s\/4 = 0. What is s?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*w + 12*f - 40 = 0, 0 = 8724*f - 8728*f + 12 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*g - g**2 - 8*g - 30*g.\nAnswer: -g**2 - 43*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 17943 + -17516. Is 2\/7 less than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vvjvvjj. What is prob of sequence vjjv?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {y: 1, k: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jvt when three letters picked without replacement from {v: 1, t: 12, j: 3}?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3933146442 to the nearest integer?\nAnswer: 1579","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:46 PM and 10:53 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1.5 - -1.7. Let x = -0.1 - -0.2. Which is the closest to -1\/2?  (a) k  (b) 3  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*y - 3 = -11*y. Let q(i) = -2*i + 1. Let k be q(0). Suppose s - 3*p = k - 3, 0 = 4*p. Put 0, s, y in descending order.\nAnswer: y, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve i = 0, 2 = -4*m + 5*i + 14 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f + 265 = 290. Let w(q) = -q**3 - 6*q**2 - 4*q + 7. Let b be w(-5). Let u be (b - -14) + (6 - f). What is the highest common divisor of 289 and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - 21.311.\nAnswer: -20.311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 3*m - 1 + 21 = 0, -6 = -5*h - m. Solve h*t + 4 = -2 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.008374 rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 110521 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 10, x: 5, d: 1, b: 1, l: 1, h: 1}. What is prob of picking 1 h and 1 l?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 237 is divided by 62.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eeeee. What is prob of sequence eee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -115*x**3 - 5*x**2 + 115*x + 5.\nAnswer: -5*(x - 1)*(x + 1)*(23*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2154352?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((y*y\/y**(-6)*y*y)\/(y**(-7)\/y)*(y\/(y*y*y\/y**2))**(-1\/25))**(-9\/7))**(2\/5) assuming y is positive.\nAnswer: y**(-324\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*f - 5 - 3. Let o be (-4)\/(-6) - f\/(-12). What is the closest to 0.2 in -5, -2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1*(-3)\/(-2)*(-2240)\/2400.\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*w + 844 = -4*w. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) be the first derivative of -2\/9*u**3 - 8\/3*u**2 - 32\/3*u - 31. Factor g(p).\nAnswer: -2*(p + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -i**3 + 5*i**2 - 8*i + 17. What is y(2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 2 y when three letters picked without replacement from {d: 1, w: 2, v: 11, y: 5}.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -76 + 76.158. Let n = m - 0.235. What is n rounded to 2 decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 26 - 26. Which is the biggest value?  (a) u  (b) 3\/8  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 (base 7) in base 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.021 and -0.22?\nAnswer: 0.00462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 less than -7436?\nAnswer: -7435.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 20\/16*5*228\/(-95)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.4 from -238027608.\nAnswer: -238027608.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 390989892.5856151 + -390989987. Let b = u + 16.4144162. Let h = b + 78. What is h rounded to 6 decimal places?\nAnswer: 0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 178 + 11*g**2 + 621 - 9*g**2 + 680 + 438 to the form v*g + w*g**2 + o and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b = -2*g - 52, 0 = 3*b - 9*g + 8*g - 40. Suppose -2*a = 3*a + 2*z + 40, 2*a + 3*z + 16 = 0. Let q = b + a. Solve -4*u = -u + q for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/(-3))\/(2\/(-3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35 = t + 4*t. Let n(f) = f**2. Let y be n(-1). Let l = y + t. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1b + -12c39?\nAnswer: -12c56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 52243 and 890.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(176)*-2 - (-6*sqrt(99) + sqrt(11)).\nAnswer: 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 15081?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 5 + -2. Let g be 1657*a\/(-221) + -1. Let f = g - 3\/442. Calculate the common denominator of 17\/22 and f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 20518 - 21177. What is the second biggest value in -6, 0.3, o?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 31800, 123738, 276976, 491520, 767376, 1104550?\n\"Answer: g**3 + 30644*g**2 - g + 1156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 5350545 and 10?\nAnswer: 10701090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -2*j + 4. Let o(w) = w - 7. Let t be o(11). Suppose -t*z - 10 = 6. Let v be u(z). Calculate the greatest common factor of v and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*w + 3 = 36. Suppose 4*t + 0*c = 4*c, -c - 8 = -w*t. Suppose -t*p + 181 = -111. Is p a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yklwykkwwvkggwg. Give prob of picking 2 y and 1 w.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 42*p + 3. Let i be f(-3). Let y = i + 365\/3. Sort y, 0, 1.\nAnswer: y, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -16*v + v. Suppose v = -22*r + 8*r - 3150. Let d = r - -572. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 249 + -249. Which is the nearest to g?  (a) -1  (b) 35  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 73650 divided by -6\nAnswer: -12275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zqzzzqqrqqzzqzzzqzzz. What is prob of sequence qz?\nAnswer: 21\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-11)\/(-165)*(-6)\/(-2).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nnnbnnbnnn. What is prob of sequence bb?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3 by 17114927.\nAnswer: 3\/17114927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 - 18 = 5*n. Let f(a) = a**3 + 5*a**2 - 7*a - 6. Let i be f(n). Solve -3*y = -i*h + 2*h - 1, 5*h = -4*y + 13 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*p**3 + 405*p**2 + 2088*p + 1680.\nAnswer: -3*(p - 140)*(p + 1)*(p + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-14)\/(-10) - 15\/(-25). Let k(n) = 0*n**2 + 5 - n**q + 3*n + 2*n**2 - 9*n. Calculate k(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -6477 + 6519. Put 31, 2, k in ascending order.\nAnswer: 2, 31, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 131 + -130. Is v\/(((-1)\/(-2053))\/(-2 + 3)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gag when three letters picked without replacement from {a: 12, g: 6}.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gglglgllwlg. What is prob of sequence lw?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 340518027 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -1013 not equal to -1013?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3170076 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -13*a**2 - 64*a - 188. Let k(f) = 3*f**2 + 16*f + 47. Let b(p) = -18*k(p) - 4*s(p). Does 11 divide b(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = 2*y**2 - 4*y - 3. Let s be (-14 - 3)*(-12)\/111. Let p = -2339\/407 + s. Find the common denominator of f(5) and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.039 - -122.961. Let a = 122.4 - f. Let l = 1.14 + -0.14. What is the nearest to -2\/5 in a, 3, l?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in n**2 + 4*n**2 - 17*n**2 + 15*n**2 + 67.\nAnswer: 3*n**2 + 67","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7*v - 6*v + v + 39*v to the form a + l*v and give l.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -7 + 10. Let a(j) = 18*j + 23. Let i be a(-1). Solve m + 10 = -3*b, i*b - 1 - 1 = y*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 0 + 1 - 2\/(-1). Let v = a - -8. Solve -4*x = -v + 3 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p*p*p**(-4)\/p)\/(p**(-3\/4)*p))\/(p\/p**(-5)*p*p**(-1))*(p**(2\/9)\/p)\/(p**(-1\/10)*p)*(p**(-2\/9)*p*p)\/p**(4\/3) assuming p is positive.\nAnswer: p**(-629\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (12\/(-9))\/(0 + (-2)\/3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = 19*k**3 - 5*k**2 + 5*k - 3. Let t(f) = 18*f**3 - 6*f**2 + 6*f - 3. Give 6*l(b) - 5*t(b).\nAnswer: 24*b**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: ((-984)\/(-260) - 3) + (-2)\/5\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (14\/(-112))\/(4 + 185\/(-40))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -c**3 - 7*c**2 + 9*c + 26. Let d be l(-8). Let f(w) = 7*w**2 - 3*w + d*w**2 + 3*w. Let b(h) = -2*h**2. Calculate f(b(t)).\nAnswer: 100*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(50) + (sqrt(4050)*2 - sqrt(4050)) + 0 + (sqrt(450)\/(sqrt(144) - sqrt(9)) + sqrt(50) - (-1 + 0 + sqrt(50) - sqrt(50))))*6)**2*3.\nAnswer: 12240*sqrt(2) + 693708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 218 is divided by 103.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from {i: 10, k: 4, o: 4, s: 1}.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:14 AM and 5:16 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 50227.94 + -50228. Let z = -13\/3 - -55\/12. Put l, -3, z in increasing order.\nAnswer: -3, l, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9372 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/(j*j**(-8)\/j))\/j*j*j\/j**(6\/7)*(j**(3\/8))**(-33) assuming j is positive.\nAnswer: j**(-181\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -86 - -98. What is the second derivative of -62*h + u*h - 42*h + 16*h**2 + 18*h**2 wrt h?\nAnswer: 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2, 0.4, -2\/3, -0.9, -0.5, 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-6*(sqrt(187) - -2*sqrt(187)))\/(-1*sqrt(11)*1))**2 + -3 + sqrt(2057)*1*6)*-3.\nAnswer: -16515 - 198*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -148*t = -3*f - 145*t - 9, -f - 5*t = 33 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (9 - 16)*10\/105*-15?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 671986?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*i + 941 - 5428. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 76869.414 minutes to days.\nAnswer: 53.3815375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -67*d**3*z**2 + 973681*d**3 + 2*d**2*z - 6*d*z + 227*d + 12*z**2 - 2*z wrt d.\nAnswer: -402*z**2 + 5842086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of ((-22)\/(-8))\/((-4)\/8) and 87\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -173, -174, -175, -176, -177, -178?\n\"Answer: -h - 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1565\/484 + -266037\/12100. Let g = 32\/25 - j. Let t = 20\/81 - 877\/162. What is the common denominator of g and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1245 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = 6*v**3 + 7*v**2 + 7*v - 2. Let g(j) = -6*j**3 - 6*j**2 - 6*j + 1. What is 6*c(h) + 7*g(h)?\nAnswer: -6*h**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -2*f**2 - 157*f + 460. Let w be d(-81). Solve -4 = w*q - 56*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 m and 1 k when three letters picked without replacement from {n: 8, k: 4, u: 3, m: 2}?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 8 = -0*n. Let o be (3\/(-2))\/((-3)\/n). Find the third derivative of -k**6 + 0*k**6 + 0*k**o - 2*k**2 wrt k.\nAnswer: -120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence up when two letters picked without replacement from {p: 2, u: 12, t: 3}.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ox when two letters picked without replacement from {v: 2, o: 2, q: 1, u: 1, x: 1, k: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*n**3 + 61290636*n**2 - 469567757660562*n = 0. Calculate n.\nAnswer: 0, 15322659","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -54, -105, -156?\nAnswer: -207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 15586 and 82.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1129122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-444)\/(-420) + -1)*10 + 1. Find o such that q*o**3 + 8\/7 + 1\/7*o**5 - 12\/7*o - 6\/7*o**4 - 2\/7*o**2 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:25 AM and 6:17 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 94 + -93.8. Which is smaller: -36 or h?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 145, 147, 149, 151?\nAnswer: 153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 498 - 864. Let x = r - -3296\/9. Which is the third biggest value?  (a) 2\/13  (b) x  (c) 63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 409 + -404. Let o(m) = m**3 - 3*m**2 - 9*m - 6. Let b be o(i). Which is smaller: b or -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) be the first derivative of -5*o**3\/3 - 80*o**2 + 340*o - 1886. Find k, given that q(k) = 0.\nAnswer: -34, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 406526 to the power of 1\/3, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -109\/8512 and 7\/4.\nAnswer: 8512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -f**3 - 17*f**2 + 19*f + 25. What is k(-18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 72146194.\nAnswer: 2, 1217, 29641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30*z - 40*z + 280 = 0. What is the greatest common factor of z and 140?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) be the first derivative of -5\/3*u**3 + 2 - 3*u**2 + 6*u + 1\/4*u**4. Let a = 11 + -5. Give q(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.17 + 4.83. Which is the second biggest value?  (a) g  (b) -2\/11  (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 3 - (-1 + 1)\/2. Suppose -g*t + 11 - 2 = 0. Suppose -z = -0*z + t*u - 26, 0 = 5*z + 5*u - 80. What is the remainder when 20 is divided by z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -25 + 24.81. Let o = q - 0.01. Which is the second smallest value?  (a) o  (b) 5\/3  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 972 and 336?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*n - 18 + 66 = 0. Solve y + 3 - n = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 13 - 2.09\nAnswer: 10.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(864) - sqrt(24))\/(sqrt(8) + sqrt(40)\/(sqrt(5)*-2)).\nAnswer: 34*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 18 - (23 + (3 - 40) + 11)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 21602*l**2*o*v**2 - 4*l**2*o + 2*l**2*v**2 + 3*l**2*v + 5*l*v - 2*o + 14*v wrt v?\nAnswer: 43204*l**2*o + 4*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -35?  (a) 4  (b) -5  (c) 0.138\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -604, -2442, -5510, -9814, -15360, -22154, -30202?\n\"Answer: -o**3 - 609*o**2 - 4*o + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of ((-5)\/(15\/1))\/(4\/(-168)).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vyvvinivennvnnv. What is prob of picking 1 n and 1 v?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*d - 3*d - d)*(-4*d**2 + d**2 + d**2) - 12*d**3 - 8*d**3 - 23*d**3.\nAnswer: -25*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12 + 0 - (26 + 8 - 43)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -200565328 minus -5523?\nAnswer: -200559805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor k**3 - 4923*k**2 + 137256*k - 959420.\nAnswer: (k - 4895)*(k - 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1 + 10121000011?\nAnswer: 10121000012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 24067656?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 131\/431712 and 127\/431712.\nAnswer: 431712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 at most -2\/761?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -36023*x**3 - 663*x**2 + 663. Let c(w) = 217*w**3 + 4*w**2 - 4. Calculate 663*c(o) + 4*d(o).\nAnswer: -221*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (1\/(-3))\/((-2)\/12). Let h(r) = 104*r**j - 8*r - 103*r**2 + 8*r. Let n(i) = 31*i. What is h(n(d))?\nAnswer: 961*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 213 - 212. Which is the nearest to -0.1?  (a) s  (b) 2\/11  (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u = -5*o + 15, 0 = -5*u - o - 0*o - 15. Let q = 6 + u. Sort q, 5, 4 in descending order.\nAnswer: 5, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 - -11 - (1 - (-18 - -5)) - 1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 10.621 + -10.521. Sort l, -2, -0.0313.\nAnswer: -2, -0.0313, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-65)\/(-2))\/1*(-4)\/14*4592\/(-3280)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 66419478?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Determine d, given that 4*d**4\/3 - 608*d**3\/3 - 3124*d**2\/3 - 2512*d\/3 = 0.\nAnswer: -4, -1, 0, 157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.4?  (a) -2\/9  (b) 1  (c) -1735\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -29 - -35. Suppose 4*z + 6 = q*z. Solve 5 - 20 = z*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24 = f - 27 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1827995 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/(-10))\/((-74)\/(-1480))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = i**3 - i**2 - 2*i - 1. Suppose -13 = -2*y - 9. Suppose -5*k - 5 = 2*z, -2*z + y - 1 = -k. Let w be n(k). Put 1, w, 4 in descending order.\nAnswer: 4, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (sqrt(245)*-1)**2.\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -70, -20, 56, 152, 262, 380?\n\"Answer: -o**3 + 19*o**2 - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1.3 in -8, -0.3, 3, 0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2436836380?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -3\/1335445 and -97\/150050.\nAnswer: 13354450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 3988 divided by -27747\nAnswer: -3988\/27747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 288*n + 20918*n**2 + 7343*n**2 - 146*n - 142*n to v + f*n**2 + o*n and give f.\nAnswer: 28261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -529*s - n = -534*s + 196670, 0 = -2*n + 10. What is the thousands digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.06 - 3.06. Let l = -109\/84 - -1\/21. Which is the second smallest value?  (a) z  (b) l  (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 1074, 3113, 7110, 14043, 24890, 40629, 62238?\n\"Answer: 163*h**3 + h**2 + 895*h + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20053 - 192*s - 20053.\nAnswer: -192*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 531773718 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out -108.7 + -411695678.\nAnswer: -411695786.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -11*m + 6*m. Sort 1, 0, m.\nAnswer: 0, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-4)\/18 - ((-28681)\/(-207))\/(-43). Which is the second biggest value?  (a) 118  (b) 7  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -2 + 0 + 1 - -28 - 2. Calculate the highest common divisor of 25 and u.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1320 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -o**3 + 8*o**2 - 7*o - 8. Let j = 754 + -354. Let k = j + -393. Give a(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = 2*j + 28. Let i be r(-13). Let 0*c + 0 + 0*c**i - 2\/7*c**3 = 0. What is c?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.01 * -2\nAnswer: -0.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) be the third derivative of 5*q**8\/84 - 27*q**7\/14 + 131*q**6\/6 - 455*q**5\/6 - 245*q**4 + 1715*q**3\/6 + 143*q**2. Factor m(g).\nAnswer: 5*(g - 7)**3*(g + 1)*(4*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -2, -262 in ascending order.\nAnswer: -262, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -59\/108 and (-17805)\/21924 - (-24)\/(-9)*(-468)\/1456.\nAnswer: 3132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (15125\/(-3850))\/(10\/14*-2)\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 16 and 1\/2*-1*-44.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -153 - -153.0938. Let t = -0.7082 - n. What is t rounded to one decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 36?  (a) 2\/7  (b) -4  (c) 4  (d) 6\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u - 11 = -4. Let p(d) = 8*d - 10. Let y be p(u). Let x = y + 61. Let b(o) = -2*o**2 - 6*o + 1. Let m(r) = 2*r**2 + 7*r - 1. Give x*m(l) - 6*b(l).\nAnswer: 2*l**2 + l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 28 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve w - 13 = -4*z, -3*w - 4*z - 1345 = -1368 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is x in -30*x**4 - 676*x**3 - 2942*x**2 + 9856*x + 12152 = 0?\nAnswer: -14, -31\/3, -1, 14\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = b**3 - 44*b**2 - 92*b + 114. Calculate the remainder when d(46) is divided by 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = b**2 + 7*b + 7. Let p be v(-6). Let l be -3 - (p - 5) - -4. Put 1, l, -1 in increasing order.\nAnswer: -1, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 + 9 + (-2 - -14 - (-20 + 31)) - -63.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = 4*n**2 - 1. Let f(g) = 18*g - 733. Calculate the lowest common multiple of f(41) and i(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*p**2 - 106*p - 220.\nAnswer: 2*(p - 55)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 15852669 a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-6*-1*sqrt(10))\/(4*sqrt(8)))**2.\nAnswer: 45\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put together 1.9 and 260604.\nAnswer: 260605.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -368*c*t**3 + 3*c + 7*t wrt t?\nAnswer: -2208*c*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = r - 33. Let z(k) = -103434*k. Calculate i(z(n)).\nAnswer: -103434*n - 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -24, -6, -4\/7, -0.16, -0.5, 0.08?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 31\/7015567 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 1, p: 3, c: 2, w: 2, z: 6}. What is prob of picking 1 s and 2 z?\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 113*w + 70 + 382 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -245 - -3673\/15. Let p = 29074\/25311 - -20\/649. Let j = p - -2\/13. Put b, j, -0.06 in descending order.\nAnswer: j, -0.06, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-8531)\/55198 - 6\/(-39). Let i = f + 99811\/42460. Calculate the common denominator of 3\/20 and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 101 minutes before 12:47 PM?\nAnswer: 11:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 - 3 + 1)*(-5 + 1 + 3)*(-5*r + r + 2*r) to the form l + b*r and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide 160 by 410.\nAnswer: 16\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 0  (b) 3.25  (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ggg when three letters picked without replacement from oogoggg?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rnerneenerererr. Give prob of sequence en.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -10760872.49999956 + 10760857.5. Let k = -0.26 + 15.26. Let f = h + k. Round f to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1356413 = -13312*p - 5269*p for p.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2793*t + 325476 = -1323*t - 20268 for t.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 7712835 to the nearest integer?\nAnswer: 2777","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*g**3\/7 + 6*g**2\/7.\nAnswer: -3*g**2*(g - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from sqqssxxqqxxxqrsssxs. What is prob of picking 1 x and 1 s?\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = 155*b**3 - 2*b**2 + 2*b - 1. Let j be s(1). Suppose 6*z - j = -z. Suppose -13*o - z = -15*o. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1  (b) 2\/9  (c) -3\/37  (d) 2\/7  (e) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -15*c**2 + 7*c + 2. Let t be y(-3). Let l be ((-74)\/(-44) + 28\/t)\/3. Find g such that 0*g + 2 - l*g**2 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -16*p**2 - 10*p + 4. Let y(m) = 7*m**2 + 5*m - 2. Let q(n) = -4*s(n) - 9*y(n). Determine q(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f = -0*f. Suppose -3*a - 20 - 12 = -5*n, f = 4*a + 16. Let k be (-65)\/(-25) + n\/10. Solve 4*d + 20 = -2*h - 2*h, -5*h + k = -2*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 181 + -120. What is the remainder when v is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2\/17, 2\/7, -4?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = 54*o - 29. Is g(2) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*3748303.\nAnswer: -7496606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2158 = 2*s + 2*r, -4*s + 15*r - 18*r = -4317. Is s a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*l**2 + 65*l - 63.\nAnswer: -(l - 1)*(2*l - 63)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 69\/8716 and 45\/8.\nAnswer: 17432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 22*z**2 - 100*z - 249. Is o(47) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:54 PM and 5:55 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 2*p - 11. Let t be g(8). Suppose -3*q - 8 = -t*q. Suppose q*o - 7 - 13 = 0. Solve -d + 3*l + 2 = 0, o*d = d + l - 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2, 0.8, -89, 45?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*g**2 + 131828*g + 2172327698 = 0. Calculate g.\nAnswer: -32957","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -k**3 - 3*k**2 + 1. Let x(j) = -j + 9. Let d be x(6). Suppose z + 14 = -d*w, -2*z - 4*w = -6*w - 4. Determine f(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 27\/2 of a second?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -k**3 - 11*k**2 - 33*k - 38. Give q(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a meter in millimeters?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = 6*o**2 - 5*o + 2. Let i(p) = -p**3 - 2*p**2 - p - 6. Let q be i(-3). Let h(k) = -7*k**2 + 6*k - 2. What is q*n(c) + 5*h(c)?\nAnswer: c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 4 - -8. Let k(l) = -5*l - 1. Let q be k(-2). Suppose -5*x + q = -51. Calculate the greatest common divisor of x and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1 + -63945?\nAnswer: -63946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 219, 685, 1395, 2349, 3547?\n\"Answer: 122*f**2 + 100*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 17, -70, -357, -940, -1915?\n\"Answer: -16*y**3 - 4*y**2 + 37*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -553\/306 + 1\/34. Let v = 245\/72 + n. Let s = 1522 + -13739\/9. Find the common denominator of s and v.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = d - 23. Let l(u) = -3*u - 47. Let p be l(-19). Let f be w(p). Is f smaller than -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*f - 3*n + 10 = -5*n, 2*n + 7 = -f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -6*l - 6. Let n(w) = w. Let x(a) = -i(a) - 5*n(a). Let y be x(-6). Sort -1, 4, y.\nAnswer: -1, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -450253*r*y - 432*r - 253 wrt y.\nAnswer: -450253*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 4102957 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 4, 20331, 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -108 - -865\/8. What is the third smallest value in -0.1, -4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/15, 2, 0.5 in decreasing order.\nAnswer: 2, 0.5, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 7*12\/42 + -2 + 0. Let q(p) be the first derivative of -p**2 - 3\/4*p**4 - 2 - 3*p**3 + d*p. Let k(z) = -2*z**3 - 5*z**2 - z. Calculate -5*k(r) + 3*q(r).\nAnswer: r**3 - 2*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1133 - -2?\nAnswer: 1201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = 2*q - 2. Let l(p) = -55*p + 50. Let f(u) = -l(u) - 2*m(u). What are the prime factors of f(15)?\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -39*s = -152 - 43 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1073 and 174?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(140)\/sqrt(5))**2.\nAnswer: -4*sqrt(7) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -18*u**3 - 4*u - 1. Let h be x(-4). Suppose 2*i + 8 = 0, 5*l - h = 2*i + i. Calculate the greatest common divisor of 21 and l.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) be the second derivative of -z**5\/20 - 5*z**4\/6 + 4*z**3\/3 + z**2\/2 + 49*z - 10. Calculate c(-9).\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d = 5*j - 85, -4*d + j - 6*j = -71. What is the lowest common multiple of (540\/(-22))\/(-3) - (-12)\/(-66) and d?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 96 and 216.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -43 - 25468?\nAnswer: -25522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sum -19160383 and 0.93.\nAnswer: -19160382.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*g - 29*g + 63 = 0. Let t = -3 - 2. Sort g, t, 1.\nAnswer: t, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3341957 less than 3341957?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4073633353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (144\/(-9) - -14)\/((-8)\/(-2))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) be the second derivative of -o**4 - 24*o. Let w(h) = 4*h. Give a(w(z)).\nAnswer: -192*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.01*4072.8716.\nAnswer: -40.728716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t - 99 = -107. Sort 8, t, -3, -0.4 in decreasing order.\nAnswer: 8, t, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 195043 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 198\/(-11)*7\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1196, -2, -4 in decreasing order.\nAnswer: -2, -4, -1196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p = -0*p - 15, -3*h - p = 0. Let n(k) = -6*k**3 - 4*k**2 + 5. Let y(w) = w**3 + w**2 - 1. Let z be 6\/(-27) + 68\/(-18). Calculate h*n(o) + z*y(o).\nAnswer: 2*o**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1236bb (base 12) to base 8.\nAnswer: -1103057","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) be the third derivative of h**4\/6 - h**2 - 6*h. Let p(j) = -61*j. Determine v(p(g)).\nAnswer: -244*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1750293*w**4 - 1179910*w wrt w?\nAnswer: -21003516*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 23\/157126 and 73\/2?\nAnswer: 157126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5429*n**3 - 1741*n**3 - 1729*n**3 - n**2 - 1737*n**3.\nAnswer: 222*n**3 - n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = 168536*u + 6067297. Determine c(-36).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Determine c so that -33640*c**3 + 7888*c**2 - 242*c + 2 = 0.\nAnswer: 1\/58, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*k**5 + 416*k**4 - 16192*k**3 + 279552*k**2 - 1806336*k.\nAnswer: -4*k*(k - 28)**2*(k - 24)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (-78)\/13 - (-2 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16467198 a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 7, -62, -2, 3, -1, -3, 22 in descending order.\nAnswer: 22, 7, 3, -1, -2, -3, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (96\/9)\/((-10)\/(-330))?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -13*n*p**2 + n*p*q - 15522*n*q + n - 5456*p**2*q + p*q - 10*q wrt p.\nAnswer: -26*n*p + n*q - 10912*p*q + q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) be the second derivative of -p**4\/12 - 11*p**3\/6 - 13*p**2\/2 - p. Let a be f(-9). Suppose 14 = -a*q - 6. Put -1, q, 4 in increasing order.\nAnswer: q, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -45.87 - -45.6807. Let m = -80.0193 - l. Let f = m - -83. What is f rounded to 1 decimal place?\nAnswer: 3.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 282 + -282.00708. Round m to four dps.\nAnswer: -0.0071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 17, 13.2.\nAnswer: -1, 13.2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 10\/8 + 73260\/528. Solve 0 = -j + 136 - g for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find r, given that 1264*r**2 - 188212*r\/11 - 5970\/11 = 0.\nAnswer: -5\/158, 597\/44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -31*s + 54*s + 36 = 17*s for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -1944.5865344 to 1 decimal place.\nAnswer: -1944.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express -17 + 2*s + 31 - 55 as v + n*s and give v.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -2617, -2545, -2477, -2413, -2353, -2297, -2245?\n\"Answer: -2*x**2 + 78*x - 2693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 + 6 - 2)*(4*y**4 + 2*y**4 - 4*y**4) - 28*y**4 - 10*y**4 + 19*y**4 to b*y**3 + j*y**4 + o*y + f*y**2 + g and give j.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2\/321967 + 1114649788\/5473439. Let r be (-8)\/(-4) + 135794\/(-680). Let b = i + r. Find the common denominator of b and -17\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-7*s + 12*s + 7*s)*(s - 2*s + 2*s)*(-5*s + 10*s - 2*s)*(-5 + 5 - 3*s) - s**4 + 4*s**4 + 0*s**4 to f*s**2 + g*s**3 + t*s**4 + i*s + l and give t.\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 6, k: 1, i: 4, b: 3}. Give prob of picking 2 b.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -15*s**5*z**2 + 12*s**5*z - 7*s**2*z**2 - s**2*z - 2*s*z**2 - z**2 wrt s?\nAnswer: -900*s**2*z**2 + 720*s**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 2*b**2 + 312*b - 20147. What is m(-205)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 + 18 = 4*c. Suppose -c*v - 3*k + 103 = 0, -k + 241 = 5*v + k. List the prime factors of v.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -177525 divided by -7?\nAnswer: 177525\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -2*q + 9. Let w(x) = x. Let t(h) = -j(h) - 4*w(h). Suppose 2*i + 3 = -13. What is the units digit of t(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(143)*-5 - sqrt(143))\/(3*sqrt(1584)) + 4.\nAnswer: -4*sqrt(13)\/9 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -216 divided by 340107.\nAnswer: -72\/113369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide -146668360 by -134.\nAnswer: 1094540","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 10 - -200014?\nAnswer: 200024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d - 2 = -3. What is the second biggest value in -2\/3, 0, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -340 + -46?\nAnswer: -416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -15393, -15292, -15021, -14496, -13633, -12348, -10557, -8176?\n\"Answer: 14*b**3 + b**2 - 15408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 20 and 94?\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t\/(t\/(t*t\/t**(-26))*t)*t**(-5\/13)\/t*t*t\/t**(-3)*t**(-30\/7)*t assuming t is positive.\nAnswer: t**(2487\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:45 PM and 8:36 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 56 + -53. Suppose 0 = 3*u - 3 + 15, 5*f - x*u = 22. Solve 2\/13 - 2\/13*g**f + 0*g = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-30)\/(-18))\/((-1)\/(-3)). Find the third derivative of -f + 8 + 10*h**2 - 3 + 3*h**3 wrt h.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1149, -4635, -10457, -18615, -29109, -41939, -57105?\nAnswer: -74607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -4873*u - 10. Let x(j) = -1181700*j - 2424. Calculate -1212*k(c) + 5*x(c).\nAnswer: -2424*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -k + 21. Let b be l(17). Suppose 51 = -b*s + 1127. Suppose -2*t - 5*r + 127 = 0, -2*r - s = -4*t + 3*r. What are the prime factors of t?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 241 divide 122187?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -32 + 33. Solve 0 = 3*l + 2 + z for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*l - 5*l - 12 = 0. Let z(j) be the first derivative of 1 - 1\/10*j**5 + 0*j + 0*j**2 + 0*j**l + 1\/8*j**4. Factor z(x).\nAnswer: -x**3*(x - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -71 = -30*d + 49 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 2529 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: Let o = -5 + 4. What is the closest to o in -2, 0.5, 1\/8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 69230 to the power of 1\/2, to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 5149545 and 3.\nAnswer: 5149545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6172 - 14323 = -795*k + 14485 for k.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) be the second derivative of k**4\/114 - 8*k**3\/57 + 107*k. Factor i(m).\nAnswer: 2*m*(m - 8)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ik when two letters picked without replacement from {v: 8, z: 1, k: 2, i: 6, o: 1}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 8560, 9362, 10692, 12550, 14936, 17850, 21292?\n\"Answer: 264*i**2 + 10*i + 8286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 20\/50*(-33339)\/(-4). Let o = s + -3331. Calculate the common denominator of o and -101\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -z**4\/6 - 2201*z**3\/6 - 17352*z**2 - 828800*z\/3 - 4409344\/3.\nAnswer: -(z + 16)**3*(z + 2153)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 1620.93 to the nearest 100.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 719 is divided by 180?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -87 + 60. What are the prime factors of (-2)\/(6\/a) + 3?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 25 - 24.9. What is the smallest value in 0.5, 5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n = -4*t + 2*n + 118, 66 = 2*t - 3*n. Let d be (4 - 145\/t)*-6. Solve 15 = -d*y + m, -4*m - 33 = 2*y + m for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -0.0309, -712, 1\/12, -4 in decreasing order.\nAnswer: 3, 1\/12, -0.0309, -4, -712","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 10354, 41968, 94654, 168406, 263218, 379084?\nAnswer: 515998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in thirteen fifths of a tonne?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 396 and 6?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 11357 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Determine l, given that -27*l**5\/4 + 93*l**4\/2 - 69*l**3 + 51*l**2\/2 + 15*l\/4 = 0.\nAnswer: -1\/9, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4\/26)\/2 + (-118904)\/1094184.\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*z + 5*g = -1, 0 = -1157*z + 1156*z + 2*g + 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = q + 15. Let w be p(-12). Suppose 5*x - 426 = -3*v, 0*x + w*x - 262 = -5*v. Is x a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -2*m + 11. Suppose -2*n + 2*d - 24 = -4*n, -n = -4*d - 2. Let p be a(n). List the prime factors of 0\/2 + -2 - p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.15?  (a) 0  (b) -0.4  (c) -1.5  (d) -1\/4  (e) 60\/17  (f) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 34 divide 24200520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -2019*j + 8050. What is s(4)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(14))\/sqrt(2) + (sqrt(7) - (sqrt(70)*1 - sqrt(70))\/sqrt(10)) + (6*6*(sqrt(448) - (1 + sqrt(448) - sqrt(448))))**2)*-3.\nAnswer: -1745712 + 62202*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1100110110010111101101100 + -100?\nAnswer: -1100110110010111101110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Determine h, given that 5*h**3 + 47023470*h**2 = 0.\nAnswer: -9404694, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 572 minutes after 8:25 PM?\nAnswer: 5:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:56 PM and 2:09 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 83381, 166748, 250115, 333482, 416849, 500216?\nAnswer: 583583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1710 - -1163. Let y = o + 560. What is the highest common factor of 247 and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -238*m - 60*m = 121*m - 1676 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l - 3*g = -6, 2 + 10 = l + 3*g. Let v(m) = -m**2 - 3*m - 3. Calculate v(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 191.806 millennia to years.\nAnswer: 191806","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) be the first derivative of 16*m**3\/3 + 21. Let f(a) = -5*a. Give v(f(d)).\nAnswer: 400*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 85927288?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -129, -141, -169, -219, -297, -409, -561?\nAnswer: -759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -j**3 - j**2 - 2*j + 4. Suppose 14*q - 175*q + 1202 + 2018 = 0. Calculate the smallest common multiple of p(-4) and q.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) be the third derivative of 13*c**5\/60 + c**4\/6 + 45*c**2 - 16*c. Let f(b) = -9*b. Determine f(d(x)).\nAnswer: -117*x**2 - 36*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lrl when three letters picked without replacement from {l: 15, r: 5}.\nAnswer: 35\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 52160, 104325, 156490, 208655?\n\"Answer: 52165*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(sqrt(153) - (sqrt(153)*-1 + 4) - (sqrt(153)*1 + 0) - (sqrt(153) - (sqrt(153)*-2 + -3) - (sqrt(153) - ((sqrt(153) - -1*sqrt(153)) + -2))))**2.\nAnswer: 270*sqrt(17) + 4206","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -19*t**3 + 2*t**2 + 4*t + 2. What is the units digit of k(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 233446.\nAnswer: 2, 151, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 246 minutes before 12:07 AM?\nAnswer: 8:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = 2*q**3 - 24*q**2 + 50*q + 78. Give b(5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 94743?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15*z**3 + 6*z**3 + 12*z**3.\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 292735867 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -230*f + 208. What is the hundreds digit of q(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -2*k + 2*k**2 + 0*k**2 + k - 2 - k**2. What is the smallest common multiple of s(6) and 3?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*g**3 + 8*g**3 + g**3)*(6 - 2 - 1) in the form c*g + b + u*g**3 + s*g**2 and give u.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -11722480*m**2 - 26459*m - 109?\nAnswer: -23444960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/11?  (a) -2  (b) 6  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -95 or -121202\/1271?\nAnswer: -121202\/1271","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = 3*u**3 - 2*u**2 - 9*u + 4. Let d(p) = -p**3 + p**2 + 4*p - 2. Determine 9*d(b) + 4*g(b).\nAnswer: 3*b**3 + b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 5.5 + -10.5. Let i be (-2)\/(-7) + 69\/(-21). Put u, i, 4\/3 in descending order.\nAnswer: 4\/3, i, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 60680\/(-1968) + (325\/30)\/13?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**(-4)\/t**1*(t*t\/(t**(3\/2)\/t))\/(t*t**(4\/5)*t) assuming t is positive.\nAnswer: t**(-63\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -u + 8. Let t(m) = m**3 + 4*m**2 + 3*m - 4. Let n be t(-3). Let s be ((-14)\/(-4))\/(2\/n). Let l = 13 + s. Calculate f(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-66)\/(-18) + -4)*(-8 - 133). Solve -43*b = -z*b - 24 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 68*p**4 - 24*p**4 - 65*p + 99*p wrt p.\nAnswer: 528*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 2098, 2071, 2046, 2023, 2002, 1983?\n\"Answer: j**2 - 30*j + 2127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*v = j + 5, 10 = 674*j - 676*j + 2*v for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 5047, 4660, 4015, 3112?\n\"Answer: -129*f**2 + 5176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is seventy-one fifths of a micrometer in nanometers?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16362*p - 8178*p - 8185*p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0260298296 to 3 dps.\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*v + 18 + 2*v**2 + 15*v**2 - 15*v**2 - v**2.\nAnswer: v**2 - 9*v + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3004.07 - 3065. What is t rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 465002, 465001, 465000, 464999, 464998?\nAnswer: 464997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.4 + -0.6. Let v = -0.2 - j. Let p = 0.3 + -0.1. Which is greater: p or v?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hh when two letters picked without replacement from hhhhhhhhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = r**3 + r**2 - r + 1. Let h be 12\/(-9) - (-2)\/6. Suppose 0 = 6*t - 5*t - 3. Let s(u) = -t*u + u**3 + 4 + u**3 - 1 + 3*u**2. Calculate h*s(a) + 3*n(a).\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 2, c: 5, l: 2}. Give prob of sequence cy.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2522847?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17124*i**2 + 29863*i**2 - 11510*i**2.\nAnswer: 35477*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 (base 14) in base 15?\nAnswer: e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0 + -2. Let x = -1.6 - -2. Let f = 0.9 - x. Which is the third smallest value?  (a) o  (b) 0.1  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 301.087 - 301. Which is greater: j or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 18017b (base 13) to base 11\nAnswer: 37a912","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 7*f + 673*f**2 - 324 - 5*f + 296 - 662*f**2 in the form s*f + c*f**2 + z and give c.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 228681309?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 650701 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -514, -4003, -13540, -32149, -62854, -108679?\nAnswer: -172648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*(h\/(h\/h**(-1\/16)*h))\/h)\/(h\/(h**11\/h))*(h\/(h\/h**(-2\/7)))**(2\/19) assuming h is positive.\nAnswer: h**(16827\/2128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3410396 is divided by 83179.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -4824, -4829, -4836, -4845, -4856, -4869?\n\"Answer: -l**2 - 2*l - 4821","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -129*k**2 - 20*k - 18. Give l(-1).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -v**2 - 130*v - 2922. What is z(-99)?\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 82552 and 92871.\nAnswer: 742968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve v + 4*g + 16 = 0, -v + 4*g + 4 + 4 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -125*u + 52 = -99*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -29 + 50. Suppose -3*q = 2*s - 19, -3*q + d = s + 2*s. Solve s*t = h + 5, 4*t - h - 9 = 2*h for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-8)\/60 + 152\/15. Let d(h) = -3*h - 7. Let k be d(-3). Solve 3*f - q = -k*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5.9390919 milliseconds to hours.\nAnswer: 0.00000164974775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 133 - 3121?\nAnswer: -2322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/(20\/5 + 9\/(-2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 0*h + 8 = 0. Suppose -b = -3*s - 11, 5*b - 4*b = 5*s + 15. Sort b, h, -1.\nAnswer: -1, h, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -3\/2  (b) -33  (c) 0.2  (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 12*o**3*p**2 + 63*o**3 + o**2*p**2 + o + 19*p**2 - 146 wrt p.\nAnswer: 24*o**3*p + 2*o**2*p + 38*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -23222133 + 202?\nAnswer: -23221331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -20 + -110111031322?\nAnswer: -110111032002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -13*n**2 - n + 3. Let w be c(4). Let v be 91\/52 - (-2)\/8. Is v*-11*w\/22 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) be the first derivative of -c**5 + 15*c**4\/4 - 5*c**3\/3 - 15*c**2\/2 + 10*c - 20. Determine z so that q(z) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2727155 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 18 and 477.\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*x = -25*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2 or -31\/13?\nAnswer: -31\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -143, -298, -455, -614?\nAnswer: -775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -639179850 divided by -5.\nAnswer: 127835970","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6288?\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = h**2 - 4*h - 4. Let s be b(6). Suppose 4*l - 40 + 54 = -f, -2*l + 14 = 2*f. Calculate the smallest common multiple of f and 1 - 1 - -1*s.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -o**3 - 16*o**2 + 11*o + 410. Give p(-15).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m - 11*t = -6*t + 3, -4*t = -12. Let w(h) = h**2 + 6*h + 7. Let v be w(m). Solve 2*a = v*a - 10 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 552*y**2 - 188*y**2 - 187*y**2 - 188*y**2.\nAnswer: -11*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -25568.5545245 - 4.21\nAnswer: -25572.7645245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 19001864 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -826 + 838. What is the remainder when 65 is divided by k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*a = 29 - 5. Suppose -b + 14 = -2*j, 2*b - 31 = a*j + 2*j. What is the remainder when 290\/b + (-7)\/28 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 11\/8 of a millisecond?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 189283*o + 3596385. Calculate v(-19).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 364*i - 971*i - 16 + 435*i to the form x*i + z and give z.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -5091286.147 to the nearest one hundred.\nAnswer: -5091300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 209 + -314.2. Let x = -118 - c. What is x rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -168454, -336775, -505096, -673417?\n\"Answer: -168321*i - 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -14 - -20. Suppose -h*s = -s. Solve 0 = -s*f - 2*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1002097382?\nAnswer: 2, 11, 13, 31, 113027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2048\/342 - (-6)\/27. Let v = d - -3271\/76. Let j = 58 - v. What is the common denominator of j and 65\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 6, 0.007, 1.4 in descending order.\nAnswer: 6, 1.4, 1, 0.007","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c + w + 4 = 0, 5*c = 6*c + 2*w + 8. Solve -2 = -c*h - 2*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) be the third derivative of -x**4\/12 - x**2. Let w(q) be the second derivative of 1\/3*q**3 - 12*q + 0 + 0*q**2. Calculate u(w(c)).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2.03 - -2. Let f = -103 + 59. Let c = -44 - f. Put -3, c, q in decreasing order.\nAnswer: c, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 2, w: 1, a: 1, c: 3}. What is prob of sequence nan?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b**5\/4 - 11*b**4\/4 + 31*b**3\/4 - 17*b**2\/4 - 8*b + 7 = 0. Calculate b.\nAnswer: -1, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 40919288.\nAnswer: 2, 61, 71, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 344 divide 155181840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = 2*o - 3. Let w be i(4). Suppose 0*r + w*r = 20. Suppose -r*f = -0*f. Solve f = -4*t + t + 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*u**5\/19 + 8*u**4\/19 - 10*u**3\/19 + 4*u**2\/19.\nAnswer: -2*u**2*(u - 2)*(u - 1)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1283284856 and 224.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -30 by -15.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 78*l**2 - 11*l - 4. Let k be n(8). Let f be k\/21*(1 + 10799). Suppose -f = 7*p - 4*p. What is p rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = o**3 - 5*o**2 - 2*o - 6. Suppose -4*m - 26 = -2*i, 3*m - 7 = -i - 14. What is the remainder when n(6) is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 + 10 + 18 + -22\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.106 - -0.081. Let u = -0.325 - l. Which is the nearest to 0?  (a) -0.1  (b) u  (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2636567 micrograms in tonnes?\nAnswer: 0.0000000000002636567","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11650831.\nAnswer: 17, 53, 67, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.03, 2, 90, -4, -1, -2\/16719?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -58*k = -46*k + 48 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 255 - 260. Let y(s) = -3*s**3 + s**2 + 3*s + 5. Is y(a) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 5 - 4)*((2*n + 2*n - 6*n)*(-2*n + 1 - 1) - n**2 - 68*n**2 + 613*n**2).\nAnswer: 1644*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Work out 21274707309 + -0.4.\nAnswer: 21274707308.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 4, w: 2, q: 1, i: 1}. Give prob of sequence vi.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.028 - -19.972. Let z = 19.5 - -3.5. Let g = s - z. Which is the third smallest value?  (a) 3\/2  (b) g  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 - 10 = -4*m. Suppose 6*x - x - p - 20 = 0, -x = -m*p - 4. Is 4 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 191 - 381\/2. What is the nearest to 2\/7 in 4, 12, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -406*f - 145 = 2070 + 2657 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (1\/(-3))\/(((-1306)\/(-67912))\/(2\/52))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 7776 by 8178.\nAnswer: 1296\/1363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q = a - 593, -17*a + 6970 + 3307 = -2*q. What is the lowest common multiple of a and 847?\nAnswer: 4235","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = p**2 + 4*p - 99. Let i be z(8). Let w(c) = -2*c**3 + 5*c**2 + 3*c - 3. Does 3 divide w(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -23083.85 rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = 4*c**2 - 6*c + 8. Let v(i) = -i**2 + 3. Let x(g) = 5*g**2 - g - 11. Let m(f) = 4*v(f) + x(f). Give -d(p) + 6*m(p).\nAnswer: 2*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express -14*a**2 - 26*a**3 + 62*a**3 - 30*a**3 + (-3*a**2 + 10*a - 10*a)*(12*a - a - 10*a) in the form z*a**3 + x*a + h + q*a**2 and give q.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + sqrt(304)*-2)**2 + 5.\nAnswer: -16*sqrt(19) + 1222","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*d - 95*w - 19 + 2005 = 0, 5*d - 3*d + w = -3*d + 6 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1088)*5)**2*-2 + sqrt(1088) + (-4*sqrt(1088)*-2 - sqrt(1088)).\nAnswer: -54400 + 64*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -31595, -126385, -284371, -505553, -789931, -1137505, -1548275?\n\"Answer: -31598*o**2 + 4*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 210774, 211809, 212844, 213879, 214914?\n\"Answer: 1035*w + 209739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 2, d: 2, p: 1, n: 9, v: 3, a: 3}. What is prob of sequence va?\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 10, -40.7341, -5 in descending order.\nAnswer: 10, -5, -40.7341","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) be the second derivative of 0 - 2\/3*l**4 + 2*l + 1\/2*l**2 + 1\/20*l**5 + 7\/6*l**3. What is the least common multiple of 7 and z(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 151840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n = 2*n - 5. Let q be n*3\/(-3) - -37. Let h be 0 + (6 - (5 + -3)). Calculate the greatest common factor of h and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4*u**3 + u**3 + 2*u**3)*(-14 + 0 - 42) as j*u + p*u**2 + q + s*u**3 and give s.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 288695743 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 7711 + -7711.4. Let j = -6 + 7.3. Let y = j + -0.3. What is the biggest value in 5, y, b?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 112793 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2420304845?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 28 a factor of 624139483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o\/o**(5\/2))\/o**8*(o**(-3\/5)*o)\/o**(-1\/2))**(2\/61) assuming o is positive.\nAnswer: o**(-86\/305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*k = 4*t - 24, 4*k - 2*t + 0 = 2*k - 16 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.2 - 0.1644.\nAnswer: 0.0356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12 + (-9 - -7 - -16) + -29.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -59 divided by 59?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -20*k**2 + 65*k + 175.\nAnswer: -5*(k - 5)*(4*k + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide (9\/15)\/((-90)\/(-123450))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 2, k: 2, q: 4, r: 5}. Give prob of sequence qq.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2291245, -4582495, -6873747, -9165001, -11456257?\nAnswer: -13747515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 543961 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 2016, -0.542, -0.2?\nAnswer: -0.542","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: Solve 4*f**2 + 1561760*f - 4685316 = 0.\nAnswer: -390443, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = z**3 - 6*z**2 + 6*z + 15. Let p be -5*1\/(-3)*129\/43. Is 5 a factor of b(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.05, -2, 0.05, 4 in increasing order.\nAnswer: -2, -0.05, 0.05, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10327 = -357*k + 840*k + 12374 for k.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 135742 is divided by 816?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -1107025 - -667240?\nAnswer: -439785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (2\/(-4))\/(7\/(-70)). Let k(d) = -d + 5. Let m be k(y). Solve -5 = 2*g - 1, l - 2*g - 6 = m for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2355, -2359, -2349, -2319, -2263, -2175, -2049, -1879?\nAnswer: -1659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 304 is divided by 42.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = 2*b**3 - 8*b**2 + b + 1. What is the units digit of z(11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 385 - -128?\nAnswer: 524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 4 - 440?\nAnswer: -433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) be the third derivative of 0*o + 22*o**2 - 5\/6*o**3 + 1\/30*o**5 + 0 + 1\/8*o**4. Calculate w(-5).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 235 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -28 - (-30)\/(-6) - (-66500)\/2000.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -x + 1. Let p(d) = 1 + 7 - 4 - 2 - 3. Calculate 3*p(u) + 3*z(u).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3\/2 in 0.02, 52, -5, 2\/21?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3 + -1. Suppose m*y - 36 = 72. Let b be y\/(-15) - (-2)\/(-5). What is the second smallest value in -2\/3, -5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 7 by 44.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = t**3 - 6*t**2. Determine l(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 352*h - 124 = 351*h. Suppose -3 + 11 = 4*n. What is the third derivative of -23*g**6 - h*g**2 + 61*g**2 + 88*g**n wrt g?\nAnswer: -2760*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (10\/96*8)\/(15\/4)*(-2)\/8.\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 220 greater than 1106\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 14 and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sum -1.41 and 0.74.\nAnswer: -0.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 79\/24 and -55\/144?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 51368?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh smallest value?  (a) 4  (b) -1  (c) 120  (d) 0.2  (e) 2\/5  (f) -5  (g) -1388\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7\/4, 4, 13\/237 in decreasing order.\nAnswer: 4, 13\/237, -7\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is three tenths of a millennium in years?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t = g + g + 10, -t + 3*g = -15. Suppose -v + 2 = -t*v. Calculate the remainder when 7 is divided by (0 - (-16)\/(-12))*(-3)\/v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 divided by 960\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -8\/1799 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert -37 (base 12) to base 16.\nAnswer: -2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -50, -109, -194, -317, -490?\n\"Answer: -2*v**3 - v**2 - 42*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**12*i*i**(-5))\/(i*i\/i**(1\/2))**49)**(-14) assuming i is positive.\nAnswer: i**917","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/36 - 285630\/(-540) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -0.5  (b) 2  (c) 11  (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -4 - 1663?\nAnswer: -1667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = 14*b**2 - 7*b + 1. Let n be y(7). What is the greatest common factor of n and 116?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine n, given that 3*n**2\/5 - 81*n\/5 - 38784\/5 = 0.\nAnswer: -101, 128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = s - 2. Let q(f) = f - 1. Suppose 0*y = 3*y + 3. What is y*r(n) + 3*q(n)?\nAnswer: 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 5237 - -5?\nAnswer: 5240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -13*c**3 + 31*c**2 - 5*c - 19 + 18*c + 15*c**3. Is b(-15) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*a**2 + 7*a*z + 13*a - 361*z + 367 wrt a?\nAnswer: 4*a + 7*z + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-360)\/672 - (-4)\/16.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*j + 343 = -28*j + 24*j + 16*j - 5*x, j + 137 = -2*x for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -7*q. Let y(i) = 129*i. Determine a(y(b)).\nAnswer: -903*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 662541 is divided by 165632?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 68 and 4675?\nAnswer: 18700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -9733994.398 + 1.863\nAnswer: -9733992.535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uni when three letters picked without replacement from {j: 1, h: 1, i: 1, n: 6, u: 5}.\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 divided by -171.\nAnswer: -1\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2287554 divided by -1.\nAnswer: -2287554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 170*b**2 - 81*b**2 - 88*b**2.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15 - -55*66\/(-240).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = p**2 + p. Let k = -6 + 6. Let m be q(k). Suppose 2*u = 16 - m. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + -1 + 4 + -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4 + 2 - 4)*(-3*w - w + 6*w) + w + 3*w - 5*w + (-3*w + 0*w + w)*(13 + 2 + 7) - 4*w + 9*w + 19*w to f + g*w and give g.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wpr when three letters picked without replacement from {w: 1, r: 3, m: 6, p: 6, o: 2}?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 160 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -127, -22, -2, -12 in descending order.\nAnswer: 5, -2, -12, -22, -127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -157188 - 0.02\nAnswer: -157188.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) be the first derivative of -u**6\/420 - u**5\/70 - u**4\/28 - u**3\/21 + u**2 + 4. Let g(n) be the second derivative of l(n). Let g(o) = 0. Calculate o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -14 + 11. Let d = 115\/3 - 38. Let r = 0.3 - -0.7. Which is the biggest value?  (a) d  (b) x  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 568 minutes before 5:05 PM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2628 - 2628. Let x(z) = 3*z + z - 3*z + z**2 + 13. Determine x(g).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = 253*v - 40. Let r(w) = -63*w + 10. Let m(l) = 2*j(l) + 9*r(l). What is the hundreds digit of m(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (14 - -3) + -44 + 4.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 143596 is divided by 1932?\nAnswer: 628","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -10*a**2 - a - 1. Let q be 1\/(4\/20)*-1. Let v(j) = -7*j**2 - j - 1. Suppose 3*y - 7*y = -5*l - 23, -2*y - 4*l + 18 = 0. Give q*p(i) + y*v(i).\nAnswer: i**2 - 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -32\/67415 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -12*r + 4*r - r + 3 + 7*r - r**2. Let m(y) be the first derivative of -y**3 - 3*y**2 + 8*y + 1393. Determine -3*m(i) + 8*o(i).\nAnswer: i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 132 = 2*d. Let b = -15 + d. Let q be b*15*4\/18. Calculate the greatest common factor of 24 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 440, 2088, 4832, 8666, 13584, 19580, 26648, 34782?\nAnswer: 43976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -8931988 by -26.\nAnswer: 343538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t + 12 - 7 = 0. Let g be (t - 2)\/(36\/(-204)). Let p(m) = m**2 - 16*m - 5. Let o be p(g). Calculate the highest common divisor of o and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 998 + -3118\/3. Suppose 2*j + 4*c + 38 = -36, 5*c - 10 = 0. Let t = j - m. What is the third biggest value in 0, 0.5, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.04794 + -72966.\nAnswer: -72965.95206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (8 - 34) + (130 - 116)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 238 minutes after 6:01 PM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 5*d**2 + 2*d + 5. Let u be r(5). Suppose w = -0 + 2. Suppose -w*m = 30 - u. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*sqrt(56)*4)\/(sqrt(300)\/(sqrt(18)\/sqrt(3))).\nAnswer: 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 24017\/(-6862)*(-30)\/175.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 27 + (3 - (-4 + -4 + 17))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*c - 9*c - 19860 = 0. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*p - 28 = 13*p. Suppose -g = 5*o + 10, 2*g - 3*o - 15 = p. Let s(r) = -g*r**2 + 11 - 12 - r + 8*r**2. Calculate s(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -24*w + 1. Let r(y) = 22783*y. Give r(g(c)).\nAnswer: -546792*c + 22783","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 586 minutes before 5:08 AM?\nAnswer: 7:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(44) - (sqrt(440)\/sqrt(250) - sqrt(44)) - sqrt(44))\/(sqrt(4)*-1*-5).\nAnswer: 4*sqrt(11)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*y + 16 = -2*m, 3*y + 5 + 3 = 5*m for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/2 in -0.4, 166.507, 3, -5, 0.03, -2\/3?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*(120\/(-35))\/(-8).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (3\/(-4))\/(486\/(-44064)). Solve 4 = -24*d - p for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:07 AM and 5:47 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = g**3 + 10*g**2 + g + 10. Let u be n(-10). Suppose -4*p + 0*p + 68 = u. What is the remainder when 48 is divided by p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 57021 - 4221. What is j rounded to the nearest 1000?\nAnswer: 53000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 713 is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 113, 230, 347, 464, 581, 698?\nAnswer: 815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (20\/(-4))\/(-5)*4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t = -5*k + 494, -4*t + 86 = 4*k - 306. What is the remainder when k is divided by 2\/(-3) + 2 + 74\/3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 90\/36*(-12)\/(-10). Suppose -3*r - 42 = f*k, k = -3*r - 19 - 3. Let o be 14\/((-5)\/(75\/k)). Solve -5*w - 3*a - o = -2*w, w - a + 1 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -4*b - 0. Calculate the smallest common multiple of b and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 + 1 - 4)*((-2*w + w - 3*w)*(-3 - 2 + 3) + (1 - 1 + 5*w)*(2 + 4 - 3)) to k + s*w and give s.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:27 PM and 12:12 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -9785, -19575, -29365, -39155?\n\"Answer: -9790*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 60*l - 42. What is k(1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(-14)\/q**(-3))**30)**30 assuming q is positive.\nAnswer: q**(-9900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -56550\/181 + 38630631\/123442. Let y = -2\/6537 + -97931\/405294. Let c = y + k. What is the closest to c in -1\/4, 0.1, -2\/13?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -1016 - 13*b + 1016 as l*b + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -32 (base 4) in base 13?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cp when two letters picked without replacement from {n: 2, c: 10, p: 2, h: 2, f: 1, o: 2}?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.112  (b) -57  (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*h - 2 - 35*h + 20*h.\nAnswer: -8*h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of -625*((-2)\/(-6) + 870\/(-450)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -558 - 6?\nAnswer: -562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -29 + 28.9. Let c(d) = 4*d**2 + d. Let q be c(-1). Suppose 4*o = -5 - q. What is the closest to l in 0.1, o, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -4\/2155, 17046 in ascending order.\nAnswer: -5, -4\/2155, 17046","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -y**3 - 7*y**2 - 279*y - 1956. Determine p(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 126b58 (base 12) in base 5?\nAnswer: 34133244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -146014*s - 96092*s - 34498*s.\nAnswer: -276604*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Total of -196802 and 0.02757931.\nAnswer: -196801.97242069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 720 - 48. List the prime factors of d.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -z + 48. What are the prime factors of r(14)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -33?  (a) 0.1  (b) -1.729  (c) 6\/5  (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*s = 3*s, 0 = 2*z - 5*s. Suppose 0*h + 5*y - 5 = 5*h, 4*h = -y - 14. Let i = 4 + -9. Sort h, z, i in ascending order.\nAnswer: i, h, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (a - a + 2*a)*(2*a - 1 + 1)*(68 + 98 - 32) - 2*a**2 - 2 - 3*a**2 + 2*a**2.\nAnswer: 533*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + 0 + -13 + 12 + (8 - 10) + -15.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 1502974*w. Let p(g) = 23*g. Determine f(p(d)).\nAnswer: 34568402*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 114 and 152.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -13202 + 467?\nAnswer: -12957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Is 101 a factor of 198815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -20336\/487 or -43?\nAnswer: -20336\/487","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c - 4*w = w - 15, 0 = 3*c + 2*w - 6. Which is smaller: c or 1\/14?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*c**2\/15 - 32*c\/5.\nAnswer: -2*c*(c + 48)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 times 47?\nAnswer: -18.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*r**3 - 166*r**2 + 166*r**2 + 2*r**3.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g - 8 = -0*g. Let p be 18\/8 - g\/8. Let v = 1 - p. Is v equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -57 + 62. Let w be (-6 - (0 - x))*7. Put 3, w, -3 in decreasing order.\nAnswer: 3, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1 by 5370.\nAnswer: 1\/5370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from sjj. What is prob of picking 1 j and 1 s?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3254502 (base 8) to base 7.\nAnswer: 10302330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -42 + 5*c**3 + 2*c**3 - 3*c**3 - 3*c**3 to the form a*c + z*c**3 + q*c**2 + w and give w.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1, 28, 67, 116, 175, 244, 323?\nAnswer: 412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = o**2 - 8*o - 1. Let y be r(8). Let f = y - -6. Sort -3, 4, f in ascending order.\nAnswer: -3, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z**(-2\/107)*z*z*z)\/z)\/z*z)\/z*z**(1\/15) assuming z is positive.\nAnswer: z**(1682\/1605)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) be the third derivative of -w**6\/60 - w**5\/60 - 5*w**4\/24 - w**3\/2 + 5*w**2. Let m(r) = r**3 + 2*r + 1. What is -2*d(g) - 5*m(g)?\nAnswer: -g**3 + 2*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 14 + -2. What is the smallest common multiple of u and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from prprrrrprprprr. What is prob of sequence ppr?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -0.3, -0.1, 0.5, -5, -1996?\nAnswer: -1996","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mumuuqsskqum. Give prob of sequence kq.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = 18*p**3 + 424*p**2 - 960*p - 18439. What is h(-24)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6837 is divided by 120.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**15\/(q**(-2\/9)\/q))**27 assuming q is positive.\nAnswer: q**438","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -7*w**3 - 4*w**2. Let q(n) = -176*n**3 - 99*n**2. Determine 4*q(b) - 99*u(b).\nAnswer: -11*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = l + 25. Calculate the remainder when p(6) is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*q + 5*d - 5 = 0, -d + 28 = -4*q + 3*d for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 44*b**6 - 95*b**5 + 2*b**3 + b**2 + 17492 wrt b?\nAnswer: 5280*b**3 - 5700*b**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2967469 is divided by 169?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = s**3 - s - 1. Let u(v) = -3*v**3 - 8*v**2 + 21*v - 58. Let m(t) = 3*h(t) - u(t). Is m(9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 284, 0.4, -1, 616?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 20*b**3*u**2*z**3 + 14*b**3*z**3 - 3*b**3 + 3*b**2*u - 3*u**2*z**3 - 123*u**2*z - 3*u*z wrt b.\nAnswer: 120*u**2*z**3 + 84*z**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1324342 - 411?\nAnswer: -1330303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 4*m**2 - m. Let d be x(1). Let z be (-9)\/(-6)*(d - 1). Solve 5*q = s + 4, 2*s + 4 = s - z*q for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p\/p**(-3)*p)\/(p*p\/p**(6\/5)))\/((p*p\/p**28)\/p**(-1\/4)) assuming p is positive.\nAnswer: p**(599\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.001221491855 rounded to 4 decimal places?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = 18*p**2 + 20*p - 97. Calculate the remainder when 131 is divided by r(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 27 + -24. What is the remainder when 27 is divided by n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*m + 174 = -141. Let q(d) = -2*d**2 + 171*d - 172. Let o(x) = -25*x**2 + 2055*x - 2065. Let w(c) = m*q(c) - 3*o(c). What is j in w(j) = 0?\nAnswer: 1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.01, -0.4, -0.2, 0.3573, 0.1 in ascending order.\nAnswer: -0.4, -0.2, -0.01, 0.1, 0.3573","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1244 + 1224. Let c = k + -2467.99998771. What is c rounded to 6 decimal places?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0056594186 to four dps.\nAnswer: -0.0057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 1, k: 2, i: 1, v: 1, g: 2, x: 2}. Give prob of picking 1 v, 1 g, and 2 x.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 276 is divided by 32.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ts when two letters picked without replacement from {s: 5, t: 1, o: 4, b: 6}.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 118 - 128. Let v(j) = j**2 + 10*j - 4. Determine v(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 3, f: 5, b: 3}. Give prob of picking 2 c.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 73*y**2 - 2. Let a = -375 - -377. Let h(g) = 2628*g**2 - 73. Let s(r) = a*h(r) - 73*v(r). Let z(p) = 2*p. Give s(z(b)).\nAnswer: -292*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 1839 a factor of 21104263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -37\/7856013 and -5\/3.\nAnswer: 7856013","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*z + z + 0*z)*(-81 - 2*z**2 + 13*z + 81).\nAnswer: 2*z**3 - 13*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-4)\/((-1 - 0) + 0). Suppose 5*g = -2*y + 461, 4*y + 74 = o*g - 306. Suppose -6*k + g = -3*k. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17550 is divided by 128.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -41 = 2*t - 6*b - 19, 5*t + 4*b = -17 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:52 AM and 5:52 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -9*u + 27. Determine d(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2\/17, 1, -63?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 77.6658 meters in micrometers?\nAnswer: 77665800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -r - 4. Let u be (3*4 + 0)\/(12 - 13). Let t be (-38)\/(-14) + u\/(-42). Calculate k(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*1*sqrt(342) - sqrt(342) - sqrt(342))\/(sqrt(200) + sqrt(200) + 2*sqrt(200) + sqrt(8)\/(sqrt(12)\/sqrt(3))).\nAnswer: 12*sqrt(19)\/41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10101111110111110001110 - 1?\nAnswer: 10101111110111110001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 6878, 13138, 19398, 25658, 31918?\nAnswer: 38178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**3*i)**(-33)\/(i**(2\/19)\/i*i\/(((i\/(i*i**(-12)))\/i*i)\/i)))**(-23) assuming i is positive.\nAnswer: i**(52923\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3370348?\nAnswer: 2, 842587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*q**4 + 0*q**4 + 6*q**3 + 25*q**5 - 22*q**5 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -22210 + 399631\/18. Calculate the common denominator of 3\/302 and q.\nAnswer: 2718","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*x - 73 - 227 = 0. Let c = -5 + x. Does 9 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y*y**1)**(-13\/3))**(-39)*((y\/(y\/(y**2\/y*y)))**(2\/11))**40 assuming y is positive.\nAnswer: y**(3878\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/3?  (a) 2\/7  (b) -2\/19  (c) 1  (d) -2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 66307 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 651484.\nAnswer: 2, 271, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -79a (base 12) to base 13\nAnswer: -688","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x = -3*s + 46, 0 = -3*s - 4*x + 11 + 44. Let z = 49 - 49. Suppose d - 119 + z = 0. Calculate the greatest common divisor of d and s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1 - -16. Suppose -u = -2*u + k. What is the third derivative of -u*q**5 - 18*q**2 + 226 - 226 wrt q?\nAnswer: -1020*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-86*d**2 - 84*d**2 + 38*d**2)*(186 - 457 + 162).\nAnswer: 14388*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2155930 and 1426480.\nAnswer: 189721840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 165 + -9?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3659 is divided by 183?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) be the second derivative of -1\/3*j**3 + 10*j + 0*j**2 + 0. Let u(l) = 36*l**2. Calculate o(u(a)).\nAnswer: -72*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 15339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -4*a - 43. Let y be u(-11). Suppose 0 = -3*z + 2*o, 3*o + 0 + y = 5*z. Suppose 2\/9 - 10\/9*r + 8\/9*r**z = 0. What is r?\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -100304, -99110, -97916?\n\"Answer: 1194*d - 101498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -2*r + 2. Let d(b) = 2*b - 2. Let m(c) = 5*d(c) + 6*y(c). Let v(k) = 1 - 3 + 3*k + k - 2*k. Calculate 5*m(h) + 4*v(h).\nAnswer: -2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -61419, -61609, -61799?\n\"Answer: -190*k - 61229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 64\/7, 2\/13, 3\/2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (23 - 74*u**4 - 12 - 176*u**4 - 11)*(-14*u + 19*u + 15*u).\nAnswer: -5000*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q and 1 m when two letters picked without replacement from qrrmjdrrqjrje?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 7 + -17. Let q = 39 + m. Suppose 0 = -2*z - 3*z + 50. What is the remainder when q is divided by z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-32)\/(-208))\/(18\/((-156)\/26)).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.34 - 0.06. Let y = -3 + 3.4. Let b = y + x. Sort -1, b, 3 in descending order.\nAnswer: 3, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1443 - -11?\nAnswer: 1454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*l - 30 + 10. Let g(j) = -4. Let u(r) = r - 5. Give l*g(k) + 4*u(k).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (21\/10 - 2)\/((-8)\/(-48))\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*u = -5*x - 21 - 1, -2*u + x = -3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*d - 21*d - 8*d)*(6*d - 4*d + 2*d)*(-2*d**3 + d**3 + 0*d**3).\nAnswer: 132*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/25 of a gram in milligrams?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -2*(-3)\/9*1. Let y = -7 + 7. Suppose y = -6*q + q + 15. Which is the closest to -0.1?  (a) l  (b) q  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 divided by -867.\nAnswer: -5\/867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Determine n, given that n**5\/2 - n**4 - 11*n**3\/2 + 6*n**2 = 0.\nAnswer: -3, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 11\/(66\/(-60))*(-1)\/2. Suppose 0 = 4*c + g*u - 10, -c = 6*u - u - 10. Solve c = -5*s - 8 - 2 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = p, 5*p + 5 = -45*k + 40*k. Solve -k*a = -31 + 19 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7\/4, -6, 0.5, -19156, 11 in increasing order.\nAnswer: -19156, -6, -7\/4, 0.5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -22 + 52?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -9584 + 17588. Does 87 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t + t - 18 = 0. What is the remainder when 33 is divided by (t\/(-5))\/(2\/(-15))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((2\/1)\/(8\/(-4)))\/5.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -1*2 - 66*(-6)\/225. Let h = 73\/200 + i. Let z = -2\/55 + 24\/55. What is the smallest value in -4, h, z?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (63\/(-105))\/((108\/105)\/(-4))?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 315*s**2 + 320*s + 5 = 0.\nAnswer: -1, -1\/63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -483*n + 2899. Calculate p(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (2 - 10) + (1 - (8 - 13)) - -41\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve q**5 - 6*q**4 - 6*q**3 + 28*q**2 + 45*q + 18 = 0 for q.\nAnswer: -1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 8679\/4 + -2159. Find the common denominator of s and 27\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1549.541 + 1554. Round u to 1 decimal place.\nAnswer: 4.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:30 PM and 8:48 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand -149*h + 146 + 4*h**2 + 19*h - 145 - 2*h**2 + 0*h**2 - h**2 + 2*h - 2*h**2 - 2*h + (-1 + h + 1)*(1 - h - 1) + h**2 + 2*h - 2*h.\nAnswer: -h**2 - 130*h + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3866392, 7732791, 11599190?\nAnswer: 15465589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1, 22, 61, 118, 193, 286?\nAnswer: 397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2621 + 3719. Calculate the remainder when n is divided by 46.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is v in -5*v**2 - 7286160*v + 7286165 = 0?\nAnswer: -1457233, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (-36)\/(-108) + 16\/(-30) + 13 + -12\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hchcm. Give prob of picking 2 h and 1 c.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -78 = 3*b - 348. List the prime factors of b.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 139\/373458 and 35\/48402.\nAnswer: 3012685686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = 2*h - 8. Let o be a(-8). Let t = 23 + o. What are the prime factors of 61 - ((-6)\/3)\/2*t?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 669 - 667. Let m(t) be the third derivative of 0*t - 1\/12*t**5 + 1\/24*t**4 + 1\/2*t**3 - 6*t**n + 0 - 1\/120*t**6. Give m(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 126, 483, 1018, 1683, 2430, 3211?\nAnswer: 3978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 911?\nAnswer: 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 (base 13) in base 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = 2*z - 5. Let f be j(3). Let w = 1 + f. Sort w, 4, -5 in increasing order.\nAnswer: -5, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 60*h + 141 = -272 + 53 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*z + 11*z - 94815. Let y = -4324 + z. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -a**2 + 5*a - 2. Suppose 0 = -4*w - 4, -5 = 5*o + w + 6. Suppose 0*u = 5*u - 35. Let f = u + o. What is t(f)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 184095, 367737, 551379, 735021, 918663?\nAnswer: 1102305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of b**3*d**3 + b**2*d + 382*b*d**3 + 3803*d**3 wrt b.\nAnswer: 3*b**2*d**3 + 2*b*d + 382*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 19698 divided by -3\nAnswer: -6566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*h + 5*v + 16, -16 = -7*h + 3*h - 2*v. Suppose -7 + 59 = h*y. Is 10 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = o**2 - 13*o - 66. Calculate f(17).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -31111 (base 4) to base 11\nAnswer: -706","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u = 3*z - 36, -4*u + 0*u - 24 = -5*z. Suppose -3*h + 4 = -z. Let t = 13 - 10. Solve 2*g + t*g - 20 = -5*q, h*q = 3*g + 16 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16689026 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*r - 2*r = 320. Suppose 5*k - 5*x - r = 0, k - 3*x = -x + 20. Calculate the greatest common divisor of 84 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4 + 8. Let f = -39 - -34. Which is the closest to -3?  (a) f  (b) k  (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 6 + 0. Let q = m - 6. Factor 0 + q*p - 5\/2*p**3 + p**2.\nAnswer: -p**2*(5*p - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-5)\/(-12)*4)\/((-670)\/(-12462))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 688 minutes after 10:02 AM?\nAnswer: 9:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 65 and 10530?\nAnswer: 10530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) be the first derivative of 2*s**3 - 9*s + 7. Find the first derivative of a(r) wrt r.\nAnswer: 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -356264\/15 <= -23751?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = u**3 - 3*u**2. Let j be q(3). Let s be 0*(-2)\/(1 + 3). Let l = j + s. Is l greater than or equal to -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -596 divided by 21.\nAnswer: -596\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 149\/24 and 103\/37314.\nAnswer: 149256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7*k**4 + 2 - 7*k**4 - k**3 - 3*k**5)*((-3 + 3 - 5)*(2 + 0 + 0) - 1 + 2 - 2).\nAnswer: 33*k**5 + 11*k**3 - 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 61422 is divided by 519?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(6292) + sqrt(6292) + -1*sqrt(6292)*3 + sqrt(6292) + sqrt(6292)*-2*-4)\/((sqrt(120)\/(sqrt(10)\/sqrt(2)))\/(sqrt(54)*6)).\nAnswer: 1584*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4\/5?  (a) 3\/7  (b) -4  (c) -0.3  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b = 4*b - 12. Let w(s) = -4527*s - 9050. Let l be w(-2). Solve l*g = b*g + 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qbbcbvqqveqqeb. Give prob of picking 2 e and 1 v.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3244 (base 8) to base 9.\nAnswer: -2288","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 7153 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 259347, 518706, 778065, 1037424?\nAnswer: 1296783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -40, -71, -82, -61, 4, 125?\n\"Answer: 2*x**3 - 2*x**2 - 39*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -5*d**2 + 13*d + 25. Let v(m) = m**2 + 3. What is l(b) + 4*v(b)?\nAnswer: -b**2 + 13*b + 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -55\/216 and 41\/2098287.\nAnswer: 50358888","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -24\/205 and 1\/40.\nAnswer: 1640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*a**2 - 112*a + 108 = 0. What is a?\nAnswer: 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1\/478 - 120\/239. Which is the nearest to p?  (a) 3  (b) 19  (c) 0.1  (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = 3 + 2*r + 0*r + 2*r + r. Suppose -29 = 5*w - 3*u, -3*w + 2*u = -2*u + 24. Determine q(w).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (26\/(-14) - -2)\/(8\/(-56)). Let o = 25 + -76\/3. Let z = -0.6 - -0.7. Which is the nearest to j?  (a) o  (b) 5  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 326 divided by 913.\nAnswer: 326\/913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 1459498 a multiple of 238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 11682768 divided by 4\nAnswer: 2920692","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 654308?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 26\/7 + -24\/7. Suppose 4*s - 2*s = 0. Is s at most as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2730 and 1785?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -6314, -12626, -18928, -25214, -31478, -37714, -43916?\nAnswer: -50078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -30, 8, 5\/4, 0.3, -90, 0.1, -0.7?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -40604*m - 6*b + 36 = -40603*m, -9*m = -b - 104 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 315 or -0.2?\nAnswer: 315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) be the third derivative of j**5\/60 - j**4\/24 + 7*j**3\/6 - 4*j**2. Let k be (2\/(-4))\/((-2)\/(-20)). Is g(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -2592404 from 0.4.\nAnswer: 2592404.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1\/(3\/(2 - -4)). Let u(b) = -53*b + 53*b + 2*b**f. Let x(o) = -4*o**2 + 1 - 1. Give x(u(l)).\nAnswer: -16*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 5, 0.5, -4290.3, -1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 3 - 137 = 4*p, -p = -3*h + 420. Let g = -138 + h. Solve 2*l - g = 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 4\/45  (b) -2\/163  (c) 36  (d) 3  (e) -2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*y**2\/9 - 986*y\/9 - 21620\/9.\nAnswer: -2*(y + 23)*(y + 470)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 13*h**3 + 10 - 7 - 6 + 16*h**2 - 15*h**3 to the form t*h**3 + n*h**2 + w + p*h and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 46 * -1283\nAnswer: -59018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (41\/((-82)\/64))\/(-6)\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -583 in -0.3, 125, -50.9?\nAnswer: -50.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -2*s**2 + 10*s - 17. Let c = -6 + 9. Let d be a(c). Let q(t) = 6*t**2 - 17*t - 8. What is the units digit of q(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (40\/(-140)*7)\/(31\/(-3)).\nAnswer: 6\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -32921116 - -11\nAnswer: -32921105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Product of 124.3 and -2.\nAnswer: -248.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/19, -44, -0.4, 290 in ascending order.\nAnswer: -44, -0.4, 2\/19, 290","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (9\/6)\/((-12)\/(-8)). Calculate the common denominator of u - (-2 + (-50)\/(-4)) and -71\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine t, given that 7\/6*t - 1\/3*t**4 - 7\/6*t**3 - 2\/3 + t**2 = 0.\nAnswer: -4, -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -2*t - 7. What is x(0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 5\/(((-3)\/2)\/(-3)). Let f be ((-16)\/10)\/((-2)\/r). Suppose 39*k = 84*k - 360*k + 945. Solve f = n - k*o - 10, -3*o = 15 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 6189291?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 223.21 and 0.64967589?\nAnswer: 222.56032411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 (base 12) in base 4?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -43 + 37 + 7 + 0 + -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1836569?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) be the first derivative of -i**4\/8 + 649*i**3\/6 + 1301*i**2\/4 + 651*i\/2 + 5287. Factor r(f).\nAnswer: -(f - 651)*(f + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = 15*m**2 + 15*m + 7. Is b(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 13 + -29 + (21 - 11) - -12 - 20.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 4, -0.1, -5 in increasing order.\nAnswer: -5, -0.1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h - 6 + 7 = 0. Suppose -4*a - 20 = 4*i, 2*i = -3 + h. Let z(t) = 2*t + 17. Let u(r) = -r - 9. Let q(o) = -11*u(o) - 6*z(o). What is q(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -58*d. Let j(i) = -18*i - 1. Calculate j(m(x)).\nAnswer: 1044*x - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -x**2 + 12*x + 10. Calculate the remainder when c(9) is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -284.095 - -169.432. Let z = 42.707 + v. Let o = z - -72. Round o to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 85 + -83. Factor -138*c**d - 12 + 123*c**2 + 3*c**3 + 24*c - 9 + 9.\nAnswer: 3*(c - 2)**2*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n + 114 = -n. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -c**3 + 16*c**2 + 2. Give a(16).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 956 divide 751045072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -1\/67, -18, 49, 147\/8?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 380, 3, -0.05, 0.003.\nAnswer: -0.05, 0.003, 3, 4, 380","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-1)\/1)\/(3\/69). Let q = 40 + y. Let u = q + -10. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3583297 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor z**3\/3 - 42*z**2 - 127*z\/3.\nAnswer: z*(z - 127)*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(243) + -3)**2 + -2*sqrt(192).\nAnswer: -70*sqrt(3) + 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -16*x + 11. Let m(k) = 3*k - 2. Let h(b) = -11*m(b) - 2*v(b). Let z(d) = 9*d**2 - 2*d + 2*d. Give z(h(u)).\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -n**3*r**3 - 709*n**3*r**2 - 23669*n**2*r**3 wrt n?\nAnswer: -6*r**3 - 4254*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 164753?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2394 and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bxx when three letters picked without replacement from {x: 2, b: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) be the first derivative of 4*g**5 - 23*g**4 + 32*g**3 + 48. Suppose q(v) = 0. Calculate v.\nAnswer: 0, 8\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 20 + (-891)\/44 - 210\/344 and 119\/860.\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9 - 2 - 405*w + 2*w**2 + 91*w.\nAnswer: 2*w**2 - 314*w - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2 + 1 - 1)\/4)\/(2550\/340).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*n - 12 = -14*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 + 5 = 5*v. Let f be ((-32)\/12)\/(((-112)\/24)\/7). What are the prime factors of -1 - (-195)\/(f + v)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 45708 and 11388?\nAnswer: 3336684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1500)*-2 + sqrt(540) + 2*sqrt(540))\/((sqrt(110)\/sqrt(18))\/sqrt(11)).\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*b**2 + 2925*b - 831450.\nAnswer: 3*(b - 230)*(b + 1205)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express 28*b + 32*b - 3*b**3 - 52*b - b**2 + 62 + 15*b as s*b**3 + c*b**2 + o + q*b and give o.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6.582962um to meters.\nAnswer: 0.000006582962","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -22 - -24. Let j(k) = 106*k - 106*k + 43*k**y. Let d(i) = -i. Determine j(d(v)).\nAnswer: 43*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -210*a + 220*a - 20 = 0. Let d(k) = 0*k**3 - k**3 - 2 + 5*k**3 - 2*k**2 + 2*k - 2*k**3. What is d(a)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -357*r = -358*r + 2*y + 30, 3*r = 4*y + 82 for r.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 7, y: 2, e: 4}. What is prob of sequence eepe?\nAnswer: 7\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = 4*x - 2. Let f(b) = 10*b - 4. Let p(i) = 6*f(i) - 14*o(i). Suppose -3*k + 16 = -5. List the prime factors of p(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*t = 2*t + 4, 2*t = 4*i - 28. Solve 2*g + l + 7 = i*l, -g - 2*l = -10 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 26320246 + 1?\nAnswer: 26320250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -218 + 224 - (-9 + -7 + 7).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11443413014 (base 5) to base 14.\nAnswer: 1b55dd4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 61 - 111474?\nAnswer: -111413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 1\/3, 1, -2 in decreasing order.\nAnswer: 2, 1, 1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = 11*d + 10. Let u(c) = 12*c + 11. Calculate -4*g(y) + 3*u(y).\nAnswer: -8*y - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -384541930.3557726743271 + 219.3557764743271. Let r = a + 384541675. Let v = r - -36. Round v to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 90, 119, 158, 207?\n\"Answer: 5*v**2 + 14*v + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -13 - -6. Let x be (3 + k - -332) + 2. Suppose 4*i + 0*a = -2*a + x, -3*a - 86 = -i. What are the prime factors of i?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 51 a factor of 2376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 690 and 93495.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 53 + -51. Let p be (-2 + ((-33)\/(-6) - x))\/(-6). Is p less than -50?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = o**2 - 35*o - 486. What is m(-12)?\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = x**2 - 18*x + 76. Let d be s(14). What is the greatest common factor of d and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = 2. Let k(w) = 17*w - 3. Calculate -3*c(j) - 3*k(j).\nAnswer: -51*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.62 and 5.553748.\nAnswer: 4.933748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 188118 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*a - a + 6492 + 5*a + a - 22*a**2 - 6494.\nAnswer: -22*a**2 + 8*a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 3\/10 of a century?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 557 minutes after 12:31 PM?\nAnswer: 9:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/5, -31\/5, -2, 0, 1\/9 in increasing order.\nAnswer: -31\/5, -2, 0, 1\/9, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 35998?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence snna when four letters picked without replacement from annsnnanaansn?\nAnswer: 14\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) be the first derivative of -k**5 - 2*k**2 - 7. Find the second derivative of w(p) wrt p.\nAnswer: -60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14440 is divided by 249.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 18\/5 of a micrometer?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.28 + -1.92. Let f = 7.2 + s. Let x be 2 - 96\/45 - 0. What is the closest to 1\/4 in x, -2\/21, f?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5 times 0.06696?\nAnswer: -0.03348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 2*h - 34 = -0*n, n + 4*h = 8. Let j(p) = p**2 + 10*p - 7. What are the prime factors of j(n)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:10 PM and 8:13 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -60, -124, -300, -642, -1204, -2040?\nAnswer: -3204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 54597?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*((sqrt(363) - (-3 + sqrt(363))) + sqrt(363) + -3 - (sqrt(363) - sqrt(363)*-1*-4))*-3)**2.\nAnswer: 470448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 21725924 is divided by 2172588.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3449 - 1495. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -5 + 7*t - 2*t**2 + t**2 - 1 + 0*t. Let u be v(6). Sort -0.3, -0.5, u in descending order.\nAnswer: u, -0.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -c**3 + 6 + 88*c**2 - 290*c**2 + 104*c**2 + 113*c**2 - c. What is a(15)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.4*0.059159\nAnswer: 0.0236636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*y - 2*a = 0, -2 = 2*a - 33 + 25 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.01, 0.01702, 0.4, -3\/4 in descending order.\nAnswer: 0.4, 0.01702, 0.01, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = b**2 + 18003*b - 89. What is i(0)?\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = 57*u**2. Let r(t) = 75*t**2 - 5*t. Determine r(d(w)).\nAnswer: 243675*w**4 - 285*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -21491 + 48160. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -b + 1. Let d(u) = 3*u**2 - 3*u. Let q be d(2). Let h(i) = 3*i + 87940 - 5*i - 87936. Calculate q*x(f) - 2*h(f).\nAnswer: -2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -118, -420, -886, -1486, -2190, -2968, -3790, -4626?\nAnswer: -5446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-2)\/4 + 21\/2. Suppose -19 - 2 = 3*n. Let p = y + n. Solve -q - 21 = 2*l + p*l, -q = -4*l - 24 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 905833 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + 3 + 6 - (0 + 22 - 0).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100101000111101100011 - 10?\nAnswer: 100101000111101100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 5 = t. Suppose t*l = 30 + 5. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or -1266\/5841569?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eiqiyty. Give prob of picking 1 i and 1 q.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 25\/2 of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3492 by 3.\nAnswer: 1164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*l - 126*n + 121*n - 20 + 7 - 42 = 0, -47*n + 155 = -4*l for l.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -3*j - 44. Give v(-24).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -4 divided by 531\nAnswer: -4\/531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in h**2 - 143*h**3 - 133*h**3 - 195*h**3 - 146*h**3.\nAnswer: -617*h**3 + h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 - 79) + (22 - (-11 - -13) - 18).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1896?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2 - -6. Suppose 5*a + 0*a - 30 = -z, -60 = -n*z - 5*a. Round z to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1126458 (base 9) in base 11?\nAnswer: -386088","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 40525836 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) be the third derivative of g**4\/2 - 5*g**3\/6 - 11*g**2. Suppose 2*l - 73 = -17. Calculate the remainder when v(5) is divided by l.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*x = -2*x + 3*g + 9, -3*x - 3*g = 15 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4634, 4583, 4260, 3533, 2270, 339, -2392?\nAnswer: -6055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 397 (base 11) to base 4\nAnswer: 13111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 113318581 rounded to the nearest 100000?\nAnswer: 113300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -110049.58298 from -0.3075.\nAnswer: 110049.27548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1443 - -8590. List the prime factors of x.\nAnswer: 7, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a kilogram in milligrams?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4768 and 30280078?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 44 a factor of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = b**3 - 3*b**2 - 4*b + 5. Let w be r(4). Solve -40 = -3*o + w*t, -25 = -o + 10*t - 6*t for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -19, -21, -19, -13, -3?\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -2*r. Let k(g) be the second derivative of g**7\/2520 + g**4\/3 - 4*g. Let a(p) be the third derivative of k(p). Give a(v(s)).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 - (-8 + 10) - 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 61 - -2. What is the greatest common factor of l and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1\/(-2 + 3) + (-12)\/(-6). Suppose 18 - 87 = -y*x. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.5 + -14133103.779.\nAnswer: -14133103.279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 1\/12 and -1\/22030.\nAnswer: 132180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 363213027 to the power of 1\/2, to the nearest integer?\nAnswer: 19058","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-20)\/(-50))\/((3\/(-30))\/1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 85 and 16733287.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*u + 76 = 40 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 8034868003 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 33 divide 75304119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 66406.88ml in litres?\nAnswer: 66.40688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor w**3 - 983*w**2 + 1963*w - 981.\nAnswer: (w - 981)*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.4, 1\/6, 2463, -526.\nAnswer: -526, 1\/6, 0.4, 2463","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = 2*w**2 - 3*w - 5*w**2 + 12*w**2. What is the units digit of t(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 304 minutes after 8:33 PM?\nAnswer: 1:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*a - 4*d + 2 = 0, -876*a + 872*a - 2 = -3*d for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -2, 7, -1\/5, 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 643141, 2572590, 5788337, 10290382, 16078725?\n\"Answer: 643149*x**2 + 2*x - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -70*x - 18*x + 25553 = -11935. Calculate the remainder when x is divided by 36.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor x**4\/3 + 10*x**3 + 109*x**2\/3 + 44*x + 52\/3.\nAnswer: (x + 1)**2*(x + 2)*(x + 26)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1494 by 75.\nAnswer: 498\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*l - 35*l - 544 = 0. Let u = 188 - l. Does 20 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 54825.55 to the nearest one thousand.\nAnswer: 55000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*n**3 - 2317520*n + 5541833 wrt n.\nAnswer: -6*n**2 - 2317520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = g**2 + 2*g - 1. Let u be y(-3). Let b be (u\/(-6))\/(3\/9). Is -2 at least b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/233 > -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -351251, -702511, -1053783, -1405073, -1756387?\nAnswer: -2107731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:05 AM and 6:31 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 8 and 1251?\nAnswer: 10008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 53 + -78. Let g = h - 47. Let z = -70 - g. Solve -4*c - 16 = 0, u - z*c = 6 + 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 4 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = b**2 - 3*b - 118. Let g be -6*((-68)\/408)\/(3\/(-27)). What is s(g)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 3*f - 26. Let z = 123 - 111. Let y be p(z). Is (14 - y) + (2013 - -2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.1057 + -1.1057. What is the third smallest value in 0.5, -6, s?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 724362.5nm in micrometers?\nAnswer: 724.3625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 1be (base 15) to base 12\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3471081 divided by 2.\nAnswer: -3471081\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -834.64*13.\nAnswer: -10850.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -265 = -2*m - 3*l, -6*l - 20 = -2*l. Solve -80 = -10*c - m for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*b + 2*b - 20. Let s(z) = z**2 - 5*z - 4. Let y be s(4). Calculate the least common multiple of (-2 + (-18)\/y)*28 and b.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (1124*(-1)\/(-2))\/2. Suppose 3*s = -4*h + r - 63, 136 = 2*s - 2*h. List the prime factors of s.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -1. Let u be ((-15)\/2)\/(-3) - 4\/(-8). Let a(p) = p - 7. What is u*c(f) - a(f)?\nAnswer: -f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -45836194*p**3 - 34240675*p wrt p.\nAnswer: -275017164*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -265 + 267. Let r = 41\/114 - 1\/38. What is the biggest value in y, -4, r, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 41, 314, 1017, 2366, 4577?\n\"Answer: 36*a**3 - a**2 + 24*a - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -122112010 (base 4) to base 8\nAnswer: -322604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) be the first derivative of z**8\/112 + z**5\/60 + z**2\/2 - 3. Let i(r) be the second derivative of w(r). Find the third derivative of i(f) wrt f.\nAnswer: 180*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p, 2 x, and 1 y when four letters picked without replacement from plxpptttppytxx.\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*u + 50 + 181. Let l = 115 - u. Is 29 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = 9*d. Let y be 11\/((-330)\/(-12))*5. Let h(x) = x**y + 473*x + 470*x - 943*x. Determine h(n(b)).\nAnswer: 81*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -121\/7908 and -97\/8?\nAnswer: 15816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = f**2. Let p = 5712 - 5712. Let k(b) be the first derivative of -3\/2*b**2 + p*b - 18. Determine k(m(w)).\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = j - 3*v, v - 4 = 2*j - 2. Let k be j\/4*-2 + -2. Which is smaller: -4\/17 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -357 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -38b - -2?\nAnswer: -389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*l + k + 397, -7*l - k = -2*l + 496. Let c = -71 - l. Let r be (108\/(-72))\/(3\/(-14)). What is the highest common divisor of c and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -7*j - 754. Calculate g(4).\nAnswer: -782","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -2  (b) 0  (c) 1.9  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -6*k**2. Let i(x) = -394*x**2 + 2. Calculate h(i(f)).\nAnswer: -931416*f**4 + 9456*f**2 - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 406*r**4 - 46*r**3 + 20*r**2 - 728229.\nAnswer: 1624*r**3 - 138*r**2 + 40*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a + 85 - 79 = 0. Let q(i) = -3*i + 8. Calculate q(a).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -13*c + 12. Let r be o(-5). Let i = -65 + r. What is the first derivative of 7*b + 5 - 3*b - i*b wrt b?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.747937g in tonnes?\nAnswer: 0.000004747937","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 15983015317 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 198 or 207?\nAnswer: 207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -t**2 + 5. Calculate b(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 4075\/489*(-5)\/(10\/(-6))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -420 - -232. Let n = -113 - x. Which is smaller: 2\/3 or n?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-1 + -1)\/(-1 - 1). Let f = 5 + -5.05. Let d = f - 0.95. Put u, 5, d in ascending order.\nAnswer: d, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/6*(-972)\/162.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 184 and 1105012?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.17?  (a) -3  (b) -0.1  (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 3*y**2 - 2*y - 3. Let x be u(3). Suppose -3 + x = 5*s. Solve -s*z = 2 + 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r + 536 - 353 = 0. Which is bigger: -62 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 4483, -8, 37 in descending order.\nAnswer: 4483, 37, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 13 = x - 7, 3*x + 13 = -2*h. Let j(g) = 5*g + 4 + 4 - 2 - 2. Let k(b) = 6*b + 5. Let n(z) = 5*j(z) - 4*k(z). Give n(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -415, -414, -413, -412, -411?\n\"Answer: t - 416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1 - -5eed?\nAnswer: 5eee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 6151.928 decades in months?\nAnswer: 738231.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*l**3 + 2*l**3 - 5*l**3)*(-l + 4*l**2 + l - 2*l - 2*l**2 + 2*l + 7*l**2 - 3*l**2 - 3*l**2 + (-3*l**2 + 0*l**2 + l**2)*(-1 - 4 + 3)).\nAnswer: -21*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-18)\/(-66))\/(3102\/(-978164))?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 36\/27*(-12)\/56?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 100 and 500.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = 2*q**2 + 3*q - 9. Suppose 3*k + 1 + 11 = 3*a, 2*a + 2*k = 4. Suppose a*j + x - 5 = -18, 2*j + 4*x = -2. Give h(j).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5 + -14)*15\/(-27).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.25509 + 76859.305?\nAnswer: 76856.04991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hhhhvhvvhvhhvh. What is prob of sequence hhhh?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2286 + -657. What are the prime factors of x?\nAnswer: 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -936*a**4 - 11*a**3 + 39*a**2 - 61066898 wrt a.\nAnswer: -3744*a**3 - 33*a**2 + 78*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a = -o + 2, 18 = 5*a - 4*o + o. Solve y + p = 8, -4*y + a*y = 3*p - 14 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 589, 1238, 1941, 2698, 3509?\n\"Answer: 27*q**2 + 568*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7\/6*((-80)\/70)\/2.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (36\/(-20))\/(21\/15 + -2). What is the third derivative of 2*t**4 + 114*t**4 + 827*t**2 - 2*t**3 + t**k - 602*t**2 wrt t?\nAnswer: 2784*t - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p - 4*u = 2, -2*p = -0*u - 2*u - 6. Let t(c) = -5 + c + 4*c**p + 3 + 1 - 2*c. Let r be t(-2). Solve -2*g = m - 6*m - 25, m - r = -4*g for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 9 - 5 - (-24977 - 1)\/(-3). Let t = v + 29822. What is t rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 2 - -261154?\nAnswer: 261156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 701 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 17*l - 2. Let h(o) = -4*o**2 - 2294891. Calculate y(h(z)).\nAnswer: -68*z**2 - 39013149","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.22, -11\/96, -1\/12?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 5029968 and 584880?\nAnswer: 25149840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 30008, 60034, 90108, 120254, 150496, 180858, 211364?\n\"Answer: 4*i**3 + 29998*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 111913 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) be the first derivative of d**5\/4 + 5*d**4\/12 + 26*d - 57. Let p(i) be the first derivative of l(i). Solve p(a) = 0 for a.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 108\/18*(33\/2838)\/((-81)\/6)?\nAnswer: -2\/387","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -228 + 682. Is x a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 109494338405 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16364.\nAnswer: 2, 4091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*d**5 - 1856*d**3 + 56*d**2 + 5*d - 1220 wrt d.\nAnswer: -40*d**3 - 11136*d + 112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 586\/5  (b) 37  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -368.86253 to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 105241343 and 89.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 11, 19, -1 in decreasing order.\nAnswer: 19, 11, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + -9 + 6 + 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5*0.0241.\nAnswer: -0.1205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*s**3 + 8865*s**2 + 17745*s + 8875 = 0. What is s?\nAnswer: -1, 1775","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -2*l**2 - l + 1. Let f(c) = 38*c**2 - 13*c + 6. Let a(j) = f(j) - 6*g(j). What is the second derivative of a(t) wrt t?\nAnswer: 100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3922, -26465, -1\/7 in ascending order.\nAnswer: -26465, -1\/7, 3922","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 3*a. Let s(x) = -34*x + 28. Let p(b) = -7*b + 6. Let g = 117 - 47. Suppose 3*k - g = 8*k. Let o(i) = k*p(i) + 3*s(i). What is o(w(t))?\nAnswer: -12*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve w - 13 = 3*i, -5*w - 4*i = -i - 11 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - -1 - (23 - (17 - 2)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {l: 9, x: 6, o: 4}?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 125005231 (base 6) to base 5\nAnswer: 1113131224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1.7 + 9.3. Let i = 7 - t. What is the closest to 2\/3 in -1, -3, i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = a + 2. Suppose -3*k - 3 - 4 = m, -3*m = -2*k - 23. What is w(k)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 91365?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-240)\/(-100)*(-10)\/(-3). Let b = -16 + j. What is the closest to 0 in -5, 6, b?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:59 AM and 12:33 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2\/121, -1.58, 0.05, 0?\nAnswer: -1.58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k + 2*o - o = 2, -3*o = -k - 13. Let v be (k - 0)\/((-1)\/(-6)). Let i = 15 + v. Calculate the least common multiple of 10 and i.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 - 3 + 3*z**3 + 36317*z - 36316*z.\nAnswer: 3*z**3 + z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 2, v: 8}. Give prob of picking 1 v and 1 n.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 14636*y**3 - 37*y - 2*y**5 - 14635*y**3 - 1 - y**2 + y**2 wrt y?\nAnswer: -40*y**3 + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/6 + 8\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -9, 7, -3, -5, 0 in decreasing order.\nAnswer: 7, 0, -3, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1432*v**4 - 4*v**3 + v**2 - 1827952*v wrt v?\nAnswer: 17184*v**2 - 24*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 2  (b) -73  (c) -4\/11  (d) 110  (e) 39  (f) -1  (g) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b + 3*b - 6 = 3*g, -4*b - g - 16 = 0. Sort -5, b, -8, -2 in decreasing order.\nAnswer: -2, b, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -2 + 2b53a1?\nAnswer: 2b539b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 101*l**2 + 22*l + 48. Calculate r(-2).\nAnswer: 408","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y\/y**34*y**(-2\/25)*y*y\/(((y\/((y**(2\/3)\/y)\/y))\/y)\/y)*(y\/((y\/(y\/(y\/y**(-6\/17)))*y)\/y))\/y assuming y is positive.\nAnswer: y**(-41777\/1275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2 + -5 + 11*4. Suppose -40*p = -t*p + 9. Calculate the remainder when 14 is divided by p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 151263058 and 0.1?\nAnswer: 151263057.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7 - 9 - 6*i + 31 + 0 - 10 - 5.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.2683179l to millilitres.\nAnswer: 268.3179","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -3325 (base 11) to base 10\nAnswer: -4383","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 3\/(45\/6) - 68\/(-5). Let o be 26\/(-91) - (1062\/p)\/(-3). Suppose 0*g = -5*g - o, -4*r + 1164 = 4*g. Is 37 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 378728 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 0.2496354 decades?\nAnswer: 2.496354","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 136\/3 + -45. Let i(s) be the first derivative of -1\/6*s**2 - x*s**3 - 1 + 0*s - 1\/4*s**4 - 1\/15*s**5. Factor i(c).\nAnswer: -c*(c + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3*b**2*f**2 + 806*b**2*f + 97*b**2 - 42*b - 1245*f**2 - 2 wrt b?\nAnswer: -6*f**2 + 1612*f + 194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8 - 4 - 14)*((-4*j + 2*j + j)*(-3 + 4 - 3) + 3*j + 0*j + 5*j).\nAnswer: -100*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = f. Let j(l) = 41*l. What is s(j(h))?\nAnswer: 41*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 507 - 10?\nAnswer: 4d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000122222532 to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -268228159, -536456317, -804684475, -1072912633, -1341140791?\nAnswer: -1609368949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*u + 19*a - 165, -40*u = -43*u - 4*a + 55 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -57*o + 62*o - 20. Solve 0 = 3*t - 4*g - 6, -o*t + 8 = -0*g + 3*g for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -41?  (a) 1  (b) -0.04  (c) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*4*(sqrt(11) - 1*sqrt(11)) + 4*((sqrt(22)\/(sqrt(10)\/sqrt(5)))**2 + sqrt(11) + sqrt(11)).\nAnswer: 8*sqrt(11) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Add 4.133 and 1.488.\nAnswer: 5.621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 313, 1232, 2765, 4906, 7649, 10988?\n\"Answer: -z**3 + 313*z**2 - 13*z + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) -14  (b) -0.4  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4909 - 2968. Let n = 3331 - p. What is n rounded to the nearest 100?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 2*w**4 + 0*w**4 - 3)*((2 + 2 - 2)*(-1 - 1 + 1) - 2 - 2 + 1) - w**4 - 4 + 4.\nAnswer: 9*w**4 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 3*o**2 + 2*o - 1. Let z be a(1). What is the third derivative of 4*r**4 + z*r**2 - 6*r**2 + r**4 wrt r?\nAnswer: 120*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 85 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:50 AM and 11:55 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*j + 53*j**3 - 50*j**3 - j + 4*j.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*v**3 + 0*v**2 + 0*v**2)*(v - 2*v + 0*v) + 4*v**4 + 2144 + 14*v**2 - 2144.\nAnswer: 2*v**4 + 14*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 250394460 divided by -6?\nAnswer: -41732410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1, 8, 2\/15, 4, -48078 in ascending order.\nAnswer: -48078, 0.1, 2\/15, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence euu when three letters picked without replacement from {u: 6, e: 13}.\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out 29848450313 - 27.\nAnswer: 29848450286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is -287 bigger than 0.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = 51*g + 4. What is the hundreds digit of w(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:48 PM and 7:50 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate h*i**3 - 355*h*i**2 - 7*h + 379 with respect to i.\nAnswer: 3*h*i**2 - 710*h*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1260087 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 11 = -2*n, 3*h + 4 = -4*n - 3. Suppose h*d + 1 = -z - z, -3*d - 17 = -2*z. Let v = 1 - 0. Calculate the greatest common factor of v and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p - 5*g = -5*p + 15179, 2*p + g - 15149 = 0. Suppose -3*u - c = 4*c - 3397, -4*c = 5*u - 5679. Suppose 6*w + u = p. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -8 + 11. Suppose -g*d = -d - 236. Let q be 3\/12 + d\/8. Solve -z + 6*z = -q for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1729.5 + 1732. What is the fourth smallest value in 3\/5, 5, -9, n?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 98957529 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -37*h + 8. Let s be r(-3). Let v(p) = 104*p. Let x be v(1). Let y = s + x. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 268 is divided by 137?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(2\/15)*a**(-4\/13))\/((a*(a\/(a\/a**(-8\/5)*a*a))\/a)\/(a**(-4\/5)\/a*a)))**(-37) assuming a is positive.\nAnswer: a**(-18944\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4\/9 in 0.2, 12, 0.8, 84?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-22)\/(-11) - (13 - -1). Let w be (2\/(-1))\/((-8)\/g). Which is the biggest value?  (a) w  (b) -2  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 22*h. Let n(v) = 5*v**2. Determine n(q(r)).\nAnswer: 2420*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 2652, 5308, 7962, 10614, 13264, 15912, 18558?\n\"Answer: -g**2 + 2659*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4 + 14 = 5*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/18)\/(9\/72*-4)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 21 + -24. Let l be (-24)\/20 - k - 2. Let x = 0.29 + 0.21. Which is the nearest to -1?  (a) 5\/3  (b) l  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*y + y + 3*y**3 - 2*y**3)*(21*y + 13*y - 14*y) + 4*y**4 - 3*y**4 - 3*y**4.\nAnswer: 18*y**4 + 20*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1071.6 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -66*l - 2754 = -64*l. What is l rounded to the nearest one hundred?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 534\/445*20\/6. Let j(o) = o**3 + 16*o**2 + 28*o + 2. Let z be j(-14). Suppose -z*x - 3*c = -10, -3*x - 3*c = -6*x + 30. Is x > n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) be the first derivative of 209999*g**4\/4 - 2*g**3\/3 + g - 4. Let d be x(-1). Round d 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 -z**3 - 6*z**3 + 1841*z - 1841*z + z**2.\nAnswer: -7*z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is fifteen quarters of a decade in months?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 26472, 1\/25, -5, 19.\nAnswer: -5, 1\/25, 19, 26472","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -4.08641 + 0.08641. Let f = -72.3 + 69. Let x = f - -18.3. Which is the second biggest value?  (a) q  (b) x  (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -17*d**6 + 5*d**6 + 8*d**6 - 4*d**2 wrt d?\nAnswer: -480*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (30\/(-90))\/(2\/24). Suppose -3*p - r = -p - 6, -r = p - 2. What is the lowest common multiple of p and (-74)\/a + 3\/(-30)*5?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 373090 to the nearest integer?\nAnswer: 611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4341?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(sqrt(12)\/(sqrt(10)\/sqrt(5)))\/((sqrt(84)\/sqrt(7))\/sqrt(6) - sqrt(2) - sqrt(2)))**2*-3.\nAnswer: -225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 4 + -1a3022?\nAnswer: -1a3019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) be the second derivative of -61*l**4\/2 - 64*l**3\/3 - 3*l**2\/2 - 2299*l - 1. What is the second derivative of w(i) wrt i?\nAnswer: -732","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13221968 is divided by 5648?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 342 and 24948045?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 607 minutes after 10:40 PM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 3430, 3428, 3428, 3430, 3434, 3440, 3448?\n\"Answer: n**2 - 5*n + 3434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3.42 - -0.32. Let g = -3.739999731 + p. What is g rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 8*c - 4*c. Suppose 2*o - c = 2*y - 8, 3*y + 2*o - 24 = 0. Let u = y + -5. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2847419 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = 6*r - 3*v - 45, v + 35 = 5*r. Let w be (6 - r)\/(6\/(-2)) - -2. Solve -2 = -w*x - 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = 3*x**3 + 9*x**2 - 9*x - 9. Let o be (-6)\/(10\/4 + -1) + 2. Let n(w) = w**3 + 2*w**2 - 2*w - 2. Give o*g(t) + 9*n(t).\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -14252, 3, 4 in decreasing order.\nAnswer: 5, 4, 3, -14252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 2*j**3 - 14*j**2 + 3*j + 19. Give v(11).\nAnswer: 1020","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*k**3 + 0*k**3 - 2*k**3 - 4*k**3.\nAnswer: -11*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -10 + 10. Suppose -3*s - 24 + 39 = c. What is the second derivative of -o**s + o - 7*o**5 + 2*o**5 - 8*o wrt o?\nAnswer: -120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.36 + -0.4. Let k = -137 - -137.1. Which is the closest to k?  (a) -3  (b) 0  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -25*z - 22*z - 2*z**2 + 9*z + z.\nAnswer: -2*z**2 - 37*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2.26 + 2.9. Let t = 1594.15 - 1594. Let k = c - t. Round k to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mmmyyymmymmmylmymlm. Give prob of picking 2 y and 1 l.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve x - 2 + 0 = -0 + 1, -s + 243*x + 6 = 247*x for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.7 + -0.2. Let d = -2.9 - q. What is the nearest to 1\/3 in -1\/8, 3, d?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11273 is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (3\/3 - 2)*-2. Suppose l + f = 19, 0 = -f + 3 + k. Is l a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 88\/22*-4*4\/64\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4464 is divided by 891.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4 - -14) + 9 + (-8 - -15)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 11777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.23149 - 5.44.\nAnswer: -5.20851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 579908765 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 385*p - 81*p + 10945 - 913 = 0 for p.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = 2 - f - 11 - 13 + 3. Let a be q(-21). Is (-8)\/((-160)\/40825) + a\/(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 f and 1 o when three letters picked without replacement from fooxfx?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -2*k - 4. Let p(g) be the second derivative of g**3\/6 + g**2 - 18*g. Determine 4*d(j) + 10*p(j).\nAnswer: 2*j + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -15 + 15.7. Let i = -0.69485 + b. Round i to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1.19  (b) 0  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 2, u: 2, m: 1, k: 1, y: 7, o: 1}. What is prob of sequence kwm?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*k - 0*k - 4*h + 10, -2*h = 5*k - 23. Let x be (-3)\/(-2)*(-4)\/k. Let i = -0.5575 - -0.2575. What is the nearest to 0.1 in -0.5, x, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 4927*v - 182788. Give d(37).\nAnswer: -489","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 3\/(-7) + -4*13\/(-182). What is the third biggest value in f, -305, -3?\nAnswer: -305","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 e and 1 d when four letters picked without replacement from uudueuesssuusudu?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 v and 2 b when four letters picked without replacement from vwvvwwwwbbbwbbwbvbwb?\nAnswer: 56\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -54 = -4*q + 42. Let z = q - 34. Let k(w) = -4 + 3*w - 4 + 5. Let t(v) = -v + 1. Determine z*t(m) - 4*k(m).\nAnswer: -2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (-104)\/(-224)*((-972)\/(-27))\/(-9)\nAnswer: -13\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - 3*u = 14, -5*y + 4*u + 20 = -3*y. Solve -x - k - 5 = -0*x, y*x - 2*k = 6 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 685 minutes after 5:45 AM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 669059283 to the nearest integer?\nAnswer: 25866","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -9 + (-6)\/(24\/(-20)). Sort h, -2, -5 in decreasing order.\nAnswer: -2, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -8 - ((-299)\/9 + (-2412)\/81 + 30)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 636*g = 618*g + 162 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - 1650 = -2*u, u + 4978 = 4*q - 7*q. Let c be q\/(-5) - 8\/(-20). Suppose -4*v - 3*a + c = 0, 3*a = 5*v - 195 - 220. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 0\/(5\/(25\/(-15))). Suppose -2*k = -97 - 167. Suppose n = -2*m - 2*m + k. What is the remainder when m is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 5*i + 5. Let x be k(-3). Let u be 3\/(-15) + (-472)\/x. Let r = u - 45. What is the smallest common multiple of 112 and r?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -28*y**3 + 191247*y**2 - 191247*y**2.\nAnswer: -28*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1736 + -1671. Suppose 2*j = 7*j - 390. Let m = j - a. List the prime factors of m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3648 and 4142.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*a - 3*a + 4*a + (-4*a + 4*a + 2*a)*(3 - 1 - 4) + 8434 - 107*a - 8434.\nAnswer: -108*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -210 - -371. Find the common denominator of -2\/9 and g\/(-14) - (-1 + -1).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1\/159 + 71\/53. What is the closest to 2\/3 in -5, 5, 2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -6*c**3 + 7*c**2. Let d = 0 + -3. Let o = 8 + d. Let z(f) = 4*f**3 - 5*f**2. Determine o*y(r) + 7*z(r).\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + -3*sqrt(700)*-1 + -2 + 2 + 3)**2.\nAnswer: -60*sqrt(7) + 6301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*o = 7*o + 1. Let r = o - -22. Suppose 18*c + 45 = r*c. Calculate the lowest common multiple of 8 and c.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*k + 12 = -5*d + 35, k + 5*d = 26 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 62718 is divided by 128?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7 - 9 + 5 + 594*y.\nAnswer: 594*y + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of ((-3726)\/21)\/(96\/(-3360))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = -2*i - 5*z, 3*z = -0*i - 4*i. Solve -i*y = -0*y + 3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((5 + 4*r - 5)*(-2 - 1 + 5) - 3*r + 2*r + 2*r)*(-3*r + 0 + 5 - 3).\nAnswer: -27*r**2 + 18*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -3  (b) -0.05  (c) 0.3  (d) 29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3828532 and 1068.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -86, -512, 0.7 in descending order.\nAnswer: 4, 0.7, -86, -512","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n - n = -4*x + 8, -3*n - 4*x = -22. Let k(s) be the second derivative of -4*s + 1\/6*s**4 + 1\/3*s**3 + 0 - n*s**2. Factor k(z).\nAnswer: 2*(z - 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1\/28 - -31\/84. Suppose n = 3*n. Which is smaller: n or a?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is e58 (base 16) in base 11?\nAnswer: 2839","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 80*d = 85*d - 265. Suppose y - s - 68 = 0, 4*s + 292 = 4*y + 5*s. Let h = y - d. Solve 6 = 5*c - h for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 7.7 + -8. What is the biggest value in 3, -5, m?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 2680*r**2 - 21*r - 20. List the prime factors of c(-1).\nAnswer: 7, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.4 in 0.08, -1\/5, -5, -7?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 106788*p = 106789*p - 6*m - 33, 4*m = -5*p + 29 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(104)\/(sqrt(14)\/(sqrt(28)\/sqrt(4))))\/((-2*sqrt(324) + sqrt(324))*1) + 3.\nAnswer: -sqrt(13)\/9 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = 7*n - 1 + 2 - 2. Suppose -o - 7 = -5*o + 5*w, -4*o - 4*w + 52 = 0. Is g(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 800*w - 4279*w = -27832 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 100, 101, 116, 151, 212, 305, 436, 611?\n\"Answer: j**3 + j**2 - 9*j + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a centimeter in millimeters?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1098619 to the power of 1\/2, to the nearest integer?\nAnswer: 1048","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*a**4 + 3*a**4 - 2*a**4 + (-2 - 2 - 1)*(a + 0*a + 0*a)*(-7*a**3 + 3*a**3 - 7*a**3 + (-3 + 3 - a**2)*(-a + a + 2*a)) + a**4 + a**4 - 3*a**4.\nAnswer: 65*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5999645?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*v**2 - 2184*v - 6534.\nAnswer: -2*(v + 3)*(v + 1089)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*j**4\/7 + 3161604*j**3\/7 - 18969528*j**2\/7 + 5419856*j - 25292640\/7 = 0. Calculate j.\nAnswer: 2, 790395","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 198047 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*i**2 + 2*i**2 + 0*i**2)*(89*i**2 - 160*i**2 - 3*i**2)*(-5*i + 4*i + 3*i).\nAnswer: -296*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 3, a: 10, k: 2}. Give prob of sequence al.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**(2\/33)*j*j)\/(j**13\/j)*j**(-14)*j*j*((j\/((j*j*j**(3\/7))\/j))\/j)\/j*j)**(-16) assuming j is positive.\nAnswer: j**(86368\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 184 + -90. Calculate the remainder when x is divided by 28.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-8)\/32 + (-84)\/48. Put r, 8\/7, 62 in ascending order.\nAnswer: r, 8\/7, 62","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -3*s**2. Let i be o(-1). Let h(w) = 3*w - 2. Let r be h(2). Sort -2, r, i in increasing order.\nAnswer: i, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(sqrt(88) + sqrt(88)*-2) + sqrt(88) - sqrt(88))\/(sqrt(56)\/(sqrt(21)\/sqrt(3))).\nAnswer: -3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(1*sqrt(2)*-4 - sqrt(2) - sqrt(2)*-1*-3).\nAnswer: 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**2)**(3\/2)\/((z*z\/(z*((((((z\/(z\/(z**(-4\/7)\/z)))\/z)\/z)\/z)\/z)\/z)\/z*z*z))\/(z*z*z**(-16)*z*z)))**9 assuming z is positive.\nAnswer: z**(-981\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 96 and 1621584.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -12023 - 4210124?\nAnswer: -4222202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.1281 to 2 dps.\nAnswer: -1.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -3 - ((-1 - (-5 - -1)) + -4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -43 + 40.5. Let r = p + -1.4. Let k = r - -3.9103. What is k rounded to 3 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -7*q**3 + q**2 - 10*q - 9. Let b(d) = -6*d**3 + 2*d**2 - 10*d - 8. Let m(w) = -6*b(w) + 5*g(w). Let h be m(5). Is (-1 + 83)*((-69)\/(-6) - h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12785 is divided by 6375?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2989 + 5433. Suppose 2*r - 4*i - j = 0, i = 3*i + 10. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) be the third derivative of l**8\/252 - 22*l**7\/315 - 13*l**6\/45 - 32*l**2 + 6. Factor r(k).\nAnswer: 4*k**3*(k - 13)*(k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6171502 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 j = -3 + 2.8. Let r = -0.25 - -0.55. Let p = 17.1 - 17. Which is the closest to -1?  (a) j  (b) r  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 38250 and 344250?\nAnswer: 344250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 95.91527 rounded to one decimal place?\nAnswer: 95.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 10, i: 4}. Give prob of picking 3 i.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(525) - sqrt(525)*-1) + sqrt(525))\/(3*sqrt(108))*3.\nAnswer: 5*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -2*f. Let h(r) be the first derivative of -9*r**3 - r**2 + 472. Calculate p(h(j)).\nAnswer: 54*j**2 + 4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -1671, -13314, -44921, -106476, -207963, -359366?\n\"Answer: -1664*n**3 + 2*n**2 - n - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 27 and 596057751?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 13\/25 and -67\/88.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = l**2 + l - 1. Let x = -11 - -18. Suppose -5*r + 22 = x. List the prime factors of w(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 22\/6 - 3\/18*-2. Solve c*b - 3 - 9 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 347 is divided by 116?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 3228\/37 or 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of ((-2)\/24)\/((-2)\/(-98)) and 1\/2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:39 PM and 12:15 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 50 - 24 - 26 + 14*f.\nAnswer: 14*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -10022212221 (base 3) to base 13\nAnswer: -23a97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 2 r when three letters picked without replacement from {q: 2, r: 5, k: 7, d: 5}?\nAnswer: 70\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one eighths of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 13, -11, 6, 2\/11, -1\/3?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3*4\/(84\/(-7))*50\/(-30)*57.\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2*6\/2*18\/12. Suppose b - 4 = u. Find the first derivative of -17 - u*w**2 - 1 + 6 - 2*w**2 wrt w.\nAnswer: -14*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -6313651 - 23?\nAnswer: -6314004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 c and 2 n when four letters picked without replacement from cwtnbtcn.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (0\/(-3))\/(-3) + 5. Let h = 13 - l. Let k be h\/4 + (-4)\/2. Let b(j) = j - 2. What is b(k)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -38346.53 rounded to the nearest one thousand?\nAnswer: -38000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 216143327.\nAnswer: 43, 5026589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 615 divide 118513988?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*d - 11*d + 272 = 0. What is the units digit of (2 - -1)\/((-12)\/d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 24.7272 + 0.2528. Let i = u - 25. Which is the second smallest value?  (a) -1\/9  (b) i  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 0.1, 8.0941, -0.2, -3 in increasing order.\nAnswer: -3, -0.2, 0.1, 1, 8.0941","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 201859 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*a + 5*d = a, -4*d - 4 = -7*a - 7 + 34 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -451 + 495. Suppose k*d - 123 = 97. What is the remainder when 181 is divided by d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -m - 3. Let k be g(-5). Let x be ((-3)\/(-6))\/((-1)\/k). Does 5 divide (-240)\/(-18) - x\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 2*i**2 + 31*i - 15. Let r = 64 + -59. Suppose -2*m - 60 = 4*s, -4*s = -0*m - r*m + 74. Let v be f(s). Is 2\/3 less than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -44609220 divided by 18\nAnswer: -2478290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 185 minutes before 9:19 PM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -2*n - 3*n + 5*c, 5*c = -n + 9. Factor -2\/9*p**3 + 2\/9*p**5 + 0 + 0*p**2 + 0*p**n + 0*p.\nAnswer: 2*p**3*(p - 1)*(p + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 3 - 6)*(-3 + 2 + 0)*(0 + 0 + 1)*(2*j - 7*j + 2*j) in the form o*j + u and give o.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o = 11 + 9. Let j = o + 10. Suppose -8*h - 10 = -3*h. Put h, -8, j in descending order.\nAnswer: j, h, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = 2*c**2 - 15*c + 13. Let p be v(6). Let u = p + 9. Factor 2 + 4*i**4 + 6*i**4 - 4*i**3 - 10*i**u + 4*i - 2*i**4.\nAnswer: -2*(i - 1)*(i + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k - 16 = -2*u - 0*u, -5*u + 19 = -3*k. Let h(w) = -u - w + 3 + 2. Let j be (-3 + 1)\/(1\/(-4)) - 5. Calculate h(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = 10399*n**3 - 6*n**2 - 5*n. Let b be y(-5). What is b rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 2, 3\/19, 0, 0.01, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 257 + -45231\/176. Is p at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(1331) - 2*(-2*sqrt(1331))**2 - sqrt(1331).\nAnswer: -10648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 315377752 or 315377753?\nAnswer: 315377753","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 8 = d, -66*d = -2*h - 63*d - 24. Factor h - 162\/13*q + 32\/13*q**4 - 92\/13*q**3 - 2\/13*q**5 - 288\/13*q**2.\nAnswer: -2*q*(q - 9)**2*(q + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000000213842 to seven dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = 2*u + 3*u - 21, -5*u = -4*l - 24. Suppose u*n = 10*n - 12. What is the second derivative of -14*i**5 + 17*i**5 - i + 10*i**5 - i**n wrt i?\nAnswer: 260*i**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kwuvvuuuuvwzw. What is prob of picking 1 u and 1 v?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 71 = -3*a + 77. Find w, given that -w - 1 + 2*w - a*w**2 + 3*w - 1 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 469657 divided by 5\nAnswer: 469657\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) be the first derivative of t**4\/4 + 2*t**3 + t**2\/2 + t - 2. Let b be z(-6). Let u = b + 5. Solve -k = -u*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2 - 1) + (-1 - -1). Calculate the lowest common multiple of 11 and (((-36)\/14)\/d)\/(2\/7).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from aghggawkagh. Give prob of sequence ha.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3026 + 3019. Suppose 2*p - 2*m - 66 = 0, 2*p + 5*m = p + 3. Suppose -5*q = 3 - p. Put 3, l, q in descending order.\nAnswer: q, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven eighths of a centimeter in micrometers?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -6, 865, 0.3 in ascending order.\nAnswer: -6, 0.3, 865","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1466172 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*r**2 + 3*r**2 - 3*r**2)*(-15*r**2 - 4*r - 7*r**3 - 20*r**3 + 14*r**2 + (2*r**3 + r**3 - 2*r**3)*(-2 + 2 - 1)).\nAnswer: 84*r**5 + 3*r**4 + 12*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3316 - -3960. Does 2 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3643 (base 8) to base 6\nAnswer: -13015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.09 and -856.909301?\nAnswer: 856.999301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 12 - 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide ((-90)\/(-35))\/(2\/42)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -35\/156 and -46\/1235?\nAnswer: 14820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 7\/21*(38 + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:36 PM and 5:46 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 35402787 is divided by 5819?\nAnswer: 5810","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7\/6*h**5 - 19\/6*h**4 + 4\/3*h**3 + 2\/3*h**2 + 0*h + 0 = 0 for h.\nAnswer: -2\/7, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -22.39851 from 154517619.\nAnswer: 154517641.39851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -3, 0.17, -4\/217, 2?\nAnswer: -4\/217","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -111 (base 15) in base 12?\nAnswer: -181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 115\/182 and 83\/208?\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 382\/573 + (-1 + (-82)\/(-18))\/((-19)\/(-114))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 149 a factor of 193928?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -19*a - 11*a + 42*a - 10*a to f + o*a and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c = c - 3*s + 108, 0 = -5*c + 5*s + 580. Does 31 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*f - f = s + 3, 2*f + 18 = 2*s for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1.58 - -11.58. Which is the fourth smallest value?  (a) 1  (b) z  (c) 0  (d) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2.96 - -0.04. Let h = 318.0201 + -318. Let k = -2.9799 - h. Put s, -4, k in ascending order.\nAnswer: -4, k, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -23 - j**3 + 23.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (36\/15 - 3)*24500\/(-3150).\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k - 57*c + 189237 = -60*c, -5*k = -2*c - 315413. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4479613?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 16066066?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 911.8495 centuries?\nAnswer: 91.18495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.069 - -1065.54.\nAnswer: 1065.609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r**4\/2 - 6347*r**3\/6 - 1096063*r**2\/6 + 2974243*r\/6 + 185494 = 0. Calculate r.\nAnswer: -163, -1\/3, 3, 2276","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 18, 30, 40, 48, 54, 58, 60?\n\"Answer: -t**2 + 15*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -9*z. Let d(i) = 26*i. Suppose -2*c - 3*c + 105 = 5*f, 4*f = -5*c + 84. Determine f*b(y) + 6*d(y).\nAnswer: -33*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 52916, 105829, 158742, 211655, 264568?\n\"Answer: 52913*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -10*d**3 - 71*d**2 - 6*d + 5. Determine x(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19 = -5*y + x - 30, -2*x = -2*y - 6 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 266 - 266. Let s be ((-4)\/(-5))\/((-6)\/(-15)). Suppose -4*z + 16 = 0, -3*g - 2*z - s = -22. Solve -4*p + 8 + g = o for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-180)\/60*418\/57?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jiqm when four letters picked without replacement from jjqmjmkqkikmf.\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 q, 1 r, and 1 w when four letters picked without replacement from {r: 1, q: 6, w: 7}.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1712 - 805. Let x = 1425 - c. List the prime factors of x.\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2754 or 2748?\nAnswer: 2748","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Determine f, given that 0 + 2\/9*f**3 + 4\/3*f**5 + 0*f - 10\/9*f**4 + 0*f**2 = 0.\nAnswer: 0, 1\/3, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 26733580.5 to the nearest ten thousand.\nAnswer: 26730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(sqrt(1900)*-1*5 - sqrt(1900)) + -5*(1 + sqrt(1900) + -2))**2 + 5.\nAnswer: -1700*sqrt(19) + 549130","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 56646 and 108.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-18)\/(-20) - 2\/5)*(-1360)\/(-170). Put -12, 0, c, 10, 1 in ascending order.\nAnswer: -12, 0, 1, c, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lnlnnil. What is prob of picking 1 l and 1 n?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 1, i: 2, c: 4, z: 6, p: 4, y: 2}. What is prob of sequence yzey?\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) be the second derivative of -5*d**4\/78 - 167*d**3\/13 - 100*d**2\/13 + 1346*d. Solve k(b) = 0 for b.\nAnswer: -100, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 20211202 (base 3) to base 5\nAnswer: 124423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*k = 3*n - 9 + 19, -k + 5 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = o - 9. Let z be s(9). Suppose 5*g + q - 16 = 22, z = 4*g + q - 30. Suppose -4*d = -0*a + 4*a + g, -2 = 3*a + 5*d. Put 5, a, 11 in ascending order.\nAnswer: a, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -m**2 + 6*m. Let h be a(6). Let z(l) = -l + 1. Let j be z(-3). Let b be j*(-1)\/(-4)*1. Is h != b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -5 - 12*v + v + 21 + v**2. Let x be s(12). Let p(r) = 3*r - 1. Let u be p(5). Calculate the greatest common divisor of x and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 80237 to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1001 - 993. Suppose 5*d - 75 = -5*w, -7 = -d - 2. Calculate the remainder when w is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 509 or -1578?\nAnswer: -1578","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 44009597, 44009598, 44009599, 44009600?\nAnswer: 44009601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*m + 86*v - 1007, -2*m + 193*v - 191*v + 5 - 39 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = m**3 - 27*m**2 + 49*m + 40. Let x be q(25). Let f = 96.7 - 96.8. Which is greater: f or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 78 a factor of 16557742?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:55 AM and 11:46 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 l and 1 t when three letters picked without replacement from lltttltltltttttt.\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (4\/5)\/((-1)\/(-5)). Suppose 5*h + d = 2*d + 87, 0 = -l*h - 4*d + 84. Suppose 5*z - 148 + 38 = 0. What is the least common multiple of h and z?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) -6\/35  (b) 78  (c) 6\/7  (d) -0.2  (e) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:06 PM and 2:30 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from izppzziyiiy. Give prob of picking 1 i and 2 y.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5775\/(-70) + 85)*16\/(-10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -66 + 93. Let r = -24 + l. Is 2\/3 smaller than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-6)\/q**(2\/3))\/((q\/(q*q*q**(-4\/5))*q)\/q**(-11\/4)) assuming q is positive.\nAnswer: q**(-613\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = 10*q + 123. Let s be l(-13). Sort s, -5, 6, 2 in decreasing order.\nAnswer: 6, 2, -5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r + 39 = 4*y, -14*y + 10*y = 4*r - 36. Suppose 2*b = 30 - 10. Is b less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = s + 14. Let o = -15 - -36. Let r = -27 + o. Is 5 a factor of h(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 148 - 79. Does 3 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 64*k + 2666 - 2810 + 4176 = 0 for k.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -10*z**2 + 25*z**2 + 2 - 9*z**3 + 3*z + 2*z**4 - 17*z**2 to m*z**4 + k + a*z + q*z**3 + l*z**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4)\/(-4))\/(-1)*9\/9*11?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 163035 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*z + 5*f - 31 = 3*z, -z + f = -1. List the prime factors of (z + (2 - 7))*(-5 + -416).\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z = -2*f + 6, 148*f = 2*z + 155*f - 85 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.18 * -5.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -11524 + 11632. Solve 8*k + 19*k = y for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17\/22739451 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 6.2 in 0.06, 4, 584?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 43*x**2 + 54*x**2 - 89*x**2.\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = 120*u. Let j(h) be the third derivative of -3*h**5\/10 - 5*h**2 - 77*h + 1. What is j(d(n))?\nAnswer: -259200*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-8)\/((-32)\/156) - (-7 - -16). Solve 11*n - 17*n = d for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qtj when three letters picked without replacement from jjwzzqztwj.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -168 = 3*f - 11*f. What is the highest common divisor of f and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -423.4 - -423. Sort -0.08, o, -1.5.\nAnswer: -1.5, o, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 12012202 - 1?\nAnswer: 12012201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (1117\/15)\/((-8)\/(-20)). Let t = -187 + f. Let w be ((-1)\/3)\/(7 + -8). What is the smallest value in w, t, 0.4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = -2*q + 9. Calculate the remainder when 28 is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -89496*w + 3 + 43800*w - 2*w**3 + 44359*w.\nAnswer: -2*w**3 - 1337*w + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 6041 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 163669, 327340, 491007, 654670, 818329?\nAnswer: 981984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n**3\/3 - 216229*n**2\/3 + 2924050360*n\/3 - 16791849200 = 0. Calculate n.\nAnswer: 69\/4, 27020","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -16*h. Let a(z) = -z**2. Give a(n(c)).\nAnswer: -256*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 1023050681 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-25)\/100)\/(14\/(-16)). Let x be (2\/(-4))\/(10\/(-4)). Let o(v) = 2*v**2 + v - 1. Let k be o(-2). Which is the biggest value?  (a) k  (b) x  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -t**3 + 4*t**2 - 5*t - 1. What is y(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -18\/17 - -107\/85. Let g = -834.4 - -830.4. Which is the smallest value?  (a) g  (b) -1\/2  (c) p  (d) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 75*i**2 + 2286215*i - 304830.\nAnswer: 5*(i + 30483)*(15*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4006, 15757, 35332, 62725, 97930, 140941?\nAnswer: 191752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 57314081 to the nearest integer?\nAnswer: 386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -92684285\/396 + 234051. Calculate the common denominator of -149\/6 and c.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3.039 + 0.039. Let y = -4 + -5. Let r = 3.07 - 0.07. Which is the third biggest value?  (a) r  (b) k  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 120203 (base 5) to base 3.\nAnswer: 20002000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-286)\/(-44) + 3\/(-2) + 15 is divided by (1 - 2)\/((-1)\/11).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1.117 - 693.883. Let o = m - -692. Which is the third smallest value?  (a) -5  (b) -0.036  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-6 - (-10 - -7)) + (1 - -1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b**5\/3 - 67*b**4\/3 - 295*b**3\/3 - 50*b**2\/3 + 544*b\/3 - 128\/3 = 0. Calculate b.\nAnswer: -8, -2, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 - 1 + 2)*(-7374*t + 4140*t + 3663*t) as i*t + v and give i.\nAnswer: 858","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in q - 159*q**3 - 33 - q + 82*q**3 + 74*q**3.\nAnswer: -3*q**3 - 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = 6*b**2 - 10*b + 6. Let a(g) = g**2 - 1. Let c(n) = 5*a(n) - r(n). Let l be c(8). Suppose -l*q + 4 + 1 = 0. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 28 - -128. List the prime factors of o.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1 + (3 - (-4 + 4)). Let n(d) = -24*d + x*d**2 + 24*d. Let f(b) = -b**2. What is f(n(i))?\nAnswer: -16*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -3, -24 in decreasing order.\nAnswer: -3, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(28) + 3 + sqrt(28))**2 - 4*(2 + sqrt(7) + sqrt(7)) - (sqrt(252)\/sqrt(4)*-3)\/(-1*sqrt(1089)).\nAnswer: 173*sqrt(7)\/11 + 113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o - 13 = 7. Suppose 3*h - o = 4. Let s = -72 + 76. Calculate the remainder when s is divided by h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 510 a factor of 1734510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2386371?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:25 AM and 4:52 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1)\/((-4)\/46*10\/11860) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1335370077?\nAnswer: 3, 17, 761, 3823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 172675 divided by 25.\nAnswer: 6907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -13.947 - -1.017. Let r = x - -13. Round r to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 3, 0, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -118503 (base 11) to base 16.\nAnswer: -2da44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -2737592, -2737577, -2737554, -2737523?\n\"Answer: 4*b**2 + 3*b - 2737599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = z**3 + 34*z**2 - 68*z + 150. Let y be x(-36). What is the derivative of -199 + 5524*n - y*n**3 + 14*n**4 - 5524*n wrt n?\nAnswer: 56*n**3 - 18*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*b - 3*p = 0, 6*p = 3*b + 2*p - 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -228 divided by 6.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -1298 + 384 + 914 - l**2. Let f(x) = 3*x**2 - 33*x - 3. Determine f(r(y)).\nAnswer: 3*y**4 + 33*y**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 23, 31, 51, 89, 151, 243?\n\"Answer: x**3 + x + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -u**2 - u + 10. Let r be c(0). Let t(z) = 2*z**3 + 6*z**2 + 4*z + 2. Let p be t(-2). Calculate the greatest common factor of r and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.01 - 0.49. Let q = 1 + s. Let f(g) = -g - 2. Let d be f(-6). Put -3, q, d in increasing order.\nAnswer: -3, q, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.8 take away 3709076571071?\nAnswer: -3709076571069.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/13 in 4, 1\/2, -4\/7, -28?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2)\/(-2)*(3 - 1). Let m be -1*i\/2*-7. Let o = 67 + m. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find h, given that -128\/7 - 52\/7*h**2 + 184\/7*h - 4\/7*h**3 = 0.\nAnswer: -16, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 9 + 7a?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -57512 or -747675\/13?\nAnswer: -747675\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -48*p + 113*p - 863785 = 0. What are the prime factors of p?\nAnswer: 97, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2126 a factor of 375377190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 118 = -3*t - 107. Which is smaller: -77 or t?\nAnswer: -77","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1231.6 - -1232. What is the closest to -3 in 2\/25, l, 5, 1?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -10 + 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is fourteeen ninths of a day in minutes?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -89 = -3*g - 44. Suppose -2*r - g = -21. Suppose -3*y - 20 = 5*d - d, 0 = -y. Sort d, -2, 5, r in decreasing order.\nAnswer: 5, r, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 2*i. Let g(u) = u - 38614. Give q(g(j)).\nAnswer: 2*j - 77228","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -4*g**3 - g**2 - 2. Let i(m) = -m**2 + 1 + 16*m**3 - 4 - 21*m**3. Determine -2*i(v) + 3*k(v).\nAnswer: -2*v**3 - v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -5.3 - 6.7. Let r = -12.0096 - j. What is r rounded to 3 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2 - (1 + 1)) + (60 - 57).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 151371?\nAnswer: 3, 11, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (21\/1 + -20)\/(1\/(-5)). Sort -104.1, 1, n in ascending order.\nAnswer: -104.1, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-3)\/(-2) + 2765\/(-980). Let g = -2395\/14 - -171. Let z = g - o. What is the common denominator of -3\/4 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (2 - 1) + 1\/1. Suppose 0 = q*j - 3*j + 6. Let m(c) = -6 + j + c. Let z(f) = -3*f**2. Give m(z(a)).\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.3 - -0.2. Let v = -0.4 + p. Let n = -11 + 13. What is the nearest to -1 in 1, n, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2800461 and 384377?\nAnswer: 19603227","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + -2*(-2 + (sqrt(144)\/sqrt(6))\/(sqrt(6)\/sqrt(3)*-5))*4)**2.\nAnswer: 448*sqrt(3)\/5 + 5668\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 108930 and 3.\nAnswer: 108930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.35 + 0.322. Let v = u + -80.972. Let h = v + 79.18. What is h rounded to one dp?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 42*w**2 + 38*w**2 - 85*w**2.\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + 5*o = 105, -o + 297 = m + 4*m. Is m not equal to 60?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 5*k + 8. What is the nearest to -2 in -0.5, k, 0.2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -46*x**3 - x**2 - 47*x + 95. Give f(2).\nAnswer: -371","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zsd when three letters picked without replacement from {d: 4, z: 5, s: 2}?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 2459765410 to the power of 1\/2, to the nearest integer?\nAnswer: 49596","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 3\/4 - (-1)\/4. Let i = b - 15. What is the remainder when (-1 - 0 - 2)*i is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*p + 5*b + 5, -p + 0*p - 2*b + 4 = 0. Suppose 9 = -7*z + 8*z. Suppose 2*x - 3*n - z - 1 = 0, 18 = 5*x - 4*n. Solve -3*k + x = -p*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 72662 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-31 - -25)*(-13)\/6. Let d = -16 + 55. Calculate the greatest common factor of j and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-106563)\/12)\/(17\/(-68)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -26*q**3 + q**2 - q - 3. Is a(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -246*c + 124*c - 32*c. Let o(s) = 84*s**2. Give l(o(w)).\nAnswer: -12936*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3 = -5*w + 5*j - 23, 5*w + 5*j = 30 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Are 10.7 and -0.2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4356 divided by -396.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3849*p - 282 + 314 - 32 to the form d + n*p and give n.\nAnswer: 3849","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 674889680 is divided by 51?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 38 a factor of 769?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (2 + 10\/(-6))*27. Let w(q) = t*q - q - 3*q + 0*q. Let k(g) = -g - 10 + 10 - g. What is k(w(z))?\nAnswer: -10*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 40 - 104 = 16*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -2371*(68\/(-17) + 4 + -1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 16*t**2. Let o be s(-1). Let m(h) = h**3 + 17*h**2 + 32*h - 3. Let x be m(-14). Let f = 137 - x. Solve f = 4*l - g - o, 0 = -4*l + 4*g + g for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 9*f**2 + 37*f - 20. Let s(m) = -8*m**2 - 39*m + 15. Let j(y) = 3*p(y) + 4*s(y). Factor j(n).\nAnswer: -5*n*(n + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q = 2*z + 8, q = 4 - 8. Solve -6*f + 4*f + 6 = z for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-18)\/93*1\/2. Let k = 89\/279 + x. What is i in 4\/9*i - k*i**2 - 2\/9 = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -9*r**2 - 10694*r + 40528.\nAnswer: -(r + 1192)*(9*r - 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 28429 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -2208 take away -3?\nAnswer: -2205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -3 (base 13) to base 10\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 - (-2124)\/(-27) - (-286)\/(-936)*-12?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 616 minutes before 3:44 AM?\nAnswer: 5:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -71 + 111. Calculate the greatest common divisor of 72 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12902928 is divided by 3225708.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3859 + -2453. Suppose -t - m = -3*f, -2*f - 210 = -t - 1147. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 18033 + -b54?\nAnswer: 173ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2856 by -17.\nAnswer: -168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) be the second derivative of 5*c**4\/12 - 2*c**3\/3 + 4*c**2 - 39*c. Does 14 divide d(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/2, 5, -0.06, 170, 4 in increasing order.\nAnswer: -0.06, 1\/2, 4, 5, 170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 1892 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -5*l**3 - 2*l**2 - 11*l - 8. Let d(k) = -14*k**3 - 7*k**2 - 32*k - 23. Let g(x) = 4*d(x) - 11*i(x). Give g(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1001132310 (base 4) in base 10?\nAnswer: 268212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d - 16 = -56. Let k = d + -7. Suppose 7*r - 167 = k*r - 5*a, r = -4*a + 50. Is r a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 6*f**2 + 144*f + 14. Let i be z(-24). Suppose -5*t + i - 4 = 3*k, 4 = -5*k + 2*t. Solve -3*r + 0*r = k for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = p**3 - 5*p**2 + 4*p. Let c(v) = -2*v**2 - 2*v**2 + v**3 - 11572 + 3*v + 11571. What is -4*c(t) + 3*x(t)?\nAnswer: -t**3 + t**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 3a (base 16) in base 15?\nAnswer: 3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 0 - 6 - f + 8.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + 0 + sqrt(252) + sqrt(112) + -1.\nAnswer: 2 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*f**5\/9 + 2*f**4\/3 + 4*f**3\/9 - 8*f**2\/3 + 16*f\/9 = 0.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in 5, 2, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 470 + -301. What is the greatest common factor of 65 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -90*j - 102. Let r be i(-2). Which is greater: r or 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 43398179 to the nearest integer?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u = -5*w + 35, 2*w - 3*u = -2*w + 1. Let m(s) = 0*s**2 - s**3 + w*s**2 - 23 + 28 - 2*s + 2*s**2. Give m(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 112 - 108. Find the second derivative of 12*j - 57*j**4 + 9*j + 36*j**y wrt j.\nAnswer: -252*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 27667, 55321, 82963, 110593, 138211, 165817, 193411?\nAnswer: 220993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -144, -3, -2 in decreasing order.\nAnswer: -2, -3, -144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19*w**2 - 473447203009*w + 473447203009*w.\nAnswer: -19*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 383*b - 663*b + 382*b.\nAnswer: 102*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 5529 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 537712 (base 12) in base 16?\nAnswer: 14223e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -3*-37.5\nAnswer: 112.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6412 is divided by 2133.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(-1\/2))**(-9\/7))**(-2\/11)*(r**(-1))**50\/(r**1\/r*r)**(13\/6) assuming r is positive.\nAnswer: r**(-24155\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is u in 3*u**4 + 321*u**3 + 8199*u**2 + 78327*u + 255150 = 0?\nAnswer: -75, -14, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-215 - 103 - 33)*(64*c - 35*c - 23*c)*(-1 + 4 - 5).\nAnswer: 4212*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 107047556 and 369.\nAnswer: 963428004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 21\/2 of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 52221410?\nAnswer: 2, 5, 5222141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 376 and 1316?\nAnswer: 2632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -132 divided by 3.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 34813 divided by -2?\nAnswer: -34813\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 1504677749 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: Sort 5216608, -1, -0.2 in ascending order.\nAnswer: -1, -0.2, 5216608","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*k = 3*k + 21. Suppose -3*z - k + 36 = 5*t, -26 = -2*z - 5*t. What is the second smallest value in -0.5, z, 2\/7, 0.4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j = -2*k - 9, 0 = -3*k + 2*j - j + 12. Suppose 4*d = -3*s + 5 - k, -2*d + 2*s = 6. Sort 3, d, 1.\nAnswer: d, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -374 + 373. Let a = -1.85 - 0.15. Sort a, 2, -4, j in descending order.\nAnswer: 2, j, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13168998 is divided by 154.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -665*a**3*f**3*g - a**3*f**2 - a**3*f*g + a*f**2*g - 5954*a*f**2 + 3*f**4*g + 9*f**4 + 2 wrt f?\nAnswer: -3990*a**3*g + 72*f*g + 216*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 equal to 4\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 118 and 42.\nAnswer: 2478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -67\/2  (b) 3  (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from htzphzhspzzpp. Give prob of picking 1 h, 1 p, and 2 z.\nAnswer: 72\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (41 - 53) + -6 + 10 + 5 - -47?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*y = -5*y + 20305. Suppose -15*i - 8*i = -115. Suppose -5*f - 96 = i*h - y, 2*f - 3168 = -4*h. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-1\/26)\/v)\/(((v\/(v\/(v\/(v\/v**2))))\/v)\/v)*(v**(-34)*v)\/v*v*v**(-1\/4)*v assuming v is positive.\nAnswer: v**(-1731\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.5, -1, 1, -5, -517?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1634 * 217674.\nAnswer: -355679316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -16*t**2 - 3*t. Let g be j(-2). Let k = g + 96. What is the remainder when k is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -71*r + 54*r + 850. Calculate the remainder when 89 is divided by r.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8 - ((78 - 17) + -12).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 2\/2*(-2 - -5). Suppose s*g = 10 + 14. Let f = -9 - -25. Calculate the highest common divisor of g and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000000773170125 to 7 dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15*d**2 - 8*d**2 - 3 + 8*d**2 + 1 + 4.\nAnswer: 15*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*x - 12 = -20*x. Suppose -u = x*g - 5, 1 + 6 = u + g. Suppose l + u - 11 = 0. Solve 0 = 2*o - 4*h + l, o = -5*h + 11 + 2 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -28 + 65. Is 6 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*r + 2181 - 8451. Suppose b - 23*b + r = 0. What is the greatest common factor of 152 and b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 199043.3ml to litres.\nAnswer: 199.0433","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = o + 7. Let n = 28 - o. Let k = 49 - n. Is 3 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.5 + -26812.\nAnswer: -26812.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19754 + 23133 = -109*y for y.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2024 and 2639296.\nAnswer: 2639296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.4 * -722.\nAnswer: 288.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 25 and 1975?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -f - 0*f. Suppose f = 2*l + 2*l - 16. Let w = 44 - 39. What is the remainder when w is divided by l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.8*33\nAnswer: -26.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -9*d. Let m(t) = -23*t**2 - 17*t + 17. Let b(q) = -4*q**2 - 3*q + 3. Let f(h) = 34*b(h) - 6*m(h). Calculate z(f(p)).\nAnswer: -18*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 64*j**3 - 28. Let s be ((-2)\/(-3) - 0)\/(520\/35100). Suppose s = 2*r - 11. Let n(t) = 7*t**3 - 3. Give r*n(b) - 3*d(b).\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = c - 8. Let u = -63 + 54. Let w be 8\/(-3)*u\/6. Calculate i(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*k - 24*k - 17*k - 17*k + 102 + 70*k.\nAnswer: -k + 102","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-6*d + 3*d + d)*((-2 + 2 + 2)*(-d + 2*d - 2*d) + 181*d + 46*d + 19*d) to s*d + x*d**2 + b and give x.\nAnswer: -488","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 + ((31 - 44) + 26 - (25 + -1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) be the third derivative of 0*u**5 - u**2 - 1\/96*u**4 + 0 + 0*u**3 + 0*u + 1\/480*u**6. Determine q, given that h(q) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 6*q**2 + 13*q + 52. Let r be x(-5). Suppose 136*t + 240 = r*t. Is 13 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -12.64 + -57.\nAnswer: -69.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) be the third derivative of -3*h**5\/10 - 2*h**4\/3 - 5*h**2. Find the second derivative of t(m) wrt m.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 128584843 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w + 5*q - 137 = -w, -w - 5*q = -23. Calculate the highest common factor of 304 and w.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 84 = 5*h + 49. Suppose -5*p - 4*l = -96 - h, -3*p + 60 = 3*l. What is the remainder when 63 is divided by p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 205 - 1841\/9. Which is the fourth smallest value?  (a) 0.5  (b) -1\/2  (c) 1\/4  (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*o**5\/3 - 84*o**4 - 4408*o**3\/3 - 8984*o**2 - 41668*o\/3 - 6292 = 0. Calculate o.\nAnswer: -39, -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 163*s**4 + 864*s + 2 - 912*s - 2190*s**4 - 654*s**4 wrt s.\nAnswer: -32172*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x - 4*v - 180 = 0, 6*v = v - 25. Suppose 0*h + h = -5*o + 677, -5*h + 685 = 5*o. Let a = o + x. Calculate the greatest common factor of 19 and a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 40*b = 418079 - 421799 for b.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -98 + 93. What is the third smallest value in q, 1, -2, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 109\/1940588 and -17\/2504.\nAnswer: 1214808088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express (-o + 5*o - 2*o)*(-459*o**3 - 166378 + 166378) in the form g*o**3 + n*o + a*o**2 + b + r*o**4 and give r.\nAnswer: -918","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -71255512*a + 71255512*a - 56*a**2.\nAnswer: -56*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-2)\/2 + 18\/2. Suppose -2*z - 13 = z + v, v - 5 = 0. Let x be ((-2)\/z)\/(30\/(-54)). Which is the nearest to -0.1?  (a) x  (b) m  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 6*2*1 - (5 - 2). Let i(j) = -2*j**3 - 4*j**2 + 2*j - 3. Let f(p) = -8*p**3 - 17*p**2 + 9*p - 12. What is r*i(n) - 2*f(n)?\nAnswer: -2*n**3 - 2*n**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 8512 divided by -532?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y + 12 = 4*j - 12, -3*j = 5*y - 35. Solve 3*m = -2*b + 3 - 10, -j*m = -b + 3 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 2*a**3 - 314*a**2 + 1525*a - 756. Determine v(152).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find k such that -2*k**2\/9 + 38*k\/9 - 4 = 0.\nAnswer: 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = v - 19. Let d be 3 + v - (-6)\/2. Suppose o - 30 = u, -o + 4*u + u = -d. What is the greatest common factor of 31 and o?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -5, -1.22, -4?\nAnswer: -1.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 38*b**2 + 5*b + 1. Let c be p(-2). Suppose 18*h - 39 = 15*h. What is the highest common factor of c and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = 3*l - 2. Let p be d(6). Let a = p + -10. Suppose -r + u + 3 = -a, 2*r + 5*u = -3. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-12)\/30 + (-8516)\/10. Let n = 1205 + b. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) be the third derivative of j**5\/5 - 571*j**4\/8 - 143*j**3\/2 + 791*j**2 - 1. Factor d(h).\nAnswer: 3*(h - 143)*(4*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (543*j - 216*j - 197*j)*(1 + 9 - 7) - j - j + 4*j.\nAnswer: 392*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-290)\/(-4)*216\/(-36). Let u = -215 - p. Does 20 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 363  (b) 2  (c) 11\/85  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -3*w + 29. Let u be z(9). Solve 3 = -u*f - f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 40010 (base 5) to base 16.\nAnswer: 9c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -g**3 - 2*g**2 - 651*g - 4589. Let r be p(-7). Do -35 and r have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 277 minutes before 4:20 AM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a kilometer in meters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:50 PM and 4:21 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r and 2 l when three letters picked without replacement from {r: 1, k: 2, g: 1, l: 2}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -622*n**5*y - 6*n**3*y**2 + 2*n**2 - 25701*y**2 wrt n.\nAnswer: -37320*n**2*y - 36*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 953.4159 centuries to months.\nAnswer: 1144099.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-7)\/(189\/342)*(84\/(-8))\/(-7).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(70) + sqrt(70)*1)*4)\/(sqrt(500)\/sqrt(2) + sqrt(10)).\nAnswer: 4*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 956 - 172 = 49*g. Calculate the remainder when 320 is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5658*r**3 + 111*r**3 - 3399*r**3 - 242*r**3 + 943*r**3.\nAnswer: -8245*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from {j: 8, t: 2, m: 3, u: 6}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 43 a factor of 2537?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/9?  (a) -5  (b) 1  (c) 1\/4  (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -1283*j + 5126. Give f(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*(sqrt(84) - -1*sqrt(84)))\/(sqrt(175)*5))\/(6*(sqrt(600) - (-3*sqrt(600) - sqrt(600))*-6)).\nAnswer: sqrt(2)\/8625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -v**2 - v - 1. Let i(u) = 44*u**2 + u - 2. Let a(m) = -b(m) + i(m). Is a(1) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = 10*i + 2. Let z be s(-2). Let l = -222 + 199. Let j = z - l. Solve j - 1 = a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/(z**(2\/53)*z))\/(z\/(z\/z**14))*z**(1\/4)*z*z**(1\/11) assuming z is positive.\nAnswer: z**(-29609\/2332)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 33 divide 49632158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*g**2 + 53820*g + 9071900.\nAnswer: -5*(g - 10930)*(g + 166)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r - 1 = 8. Let v = 3 + r. Suppose v = -g - g + 14. Is g a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.184621s in nanoseconds?\nAnswer: 2184621000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4*m**2 + 3*m - 3*m)*(-1 + 6*m**2 + 5*m**2 + m**2) to c + r*m + g*m**3 + o*m**2 + w*m**4 and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(-6*(sqrt(272) - (-3 + sqrt(272) + 0)) + -6*(-2 + sqrt(272))*4)**2.\nAnswer: -11520*sqrt(17) + 315144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 69\/2, 0.2, 0.3, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -5*v**2 + 111*v - 30. Calculate h(22).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 8\/87  (b) 1\/5  (c) 5\/4  (d) 2.93  (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = 33*o**2 + 4*o - 2. Let b be h(-3). Let v = b + -214. Is 23 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 37\/2 of a decade?\nAnswer: 2220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -13*u**2 + 1 + 9 + 0*u**3 + 0*u**2 - 20*u - u**3. Let v = -375 - -363. List the prime factors of x(v).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1\/2  (b) 0.3  (c) 2  (d) 16  (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 25 = -7*g. Let o be ((-1112)\/1251)\/((-2)\/(-9)). Let f(m) = -7*m**2 - m. Let l(r) = 8*r**2 + r. What is g*f(v) + o*l(v)?\nAnswer: 3*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*c - 17*c + 42. Suppose -1\/6*n**c + 0*n + 0*n**2 + 0 = 0. Calculate n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 2554890 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1406099 and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) be the first derivative of 5*a**2\/2 - 16*a + 43. Let t be m(8). Suppose -23*g = -t*g + 229. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 422*m - 1215 + 756 = 2917 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (-24 - -10 - -9) + -4 + -9\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -15*2\/(-105)*(-84)\/(-48)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -5*p + 21. Let x(a) = -5*a + 20. Let o(u) = 4*w(u) - 5*x(u). Let s be o(4). Solve -2*k - 7 = 1, -s*m - k + 8 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 794*c*t**3 - c*t**2 + 346*c*t + 2*c + 2*t**3 - 1 wrt t.\nAnswer: 4764*c + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2 - 3. Let k = -5 - j. Let v = k + 2. Which is the closest to 0.2?  (a) v  (b) 1  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) be the first derivative of 0*z**5 + 0*z**2 - 1\/48*z**4 + 1\/720*z**6 + 0*z + 5 + 13\/3*z**3. Let h(i) be the third derivative of b(i). Factor h(c).\nAnswer: (c - 1)*(c + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 + -15 + 14 + 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4263, -4261, -4277, -4323, -4411, -4553?\nAnswer: -4761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-128 - -136)\/((-4)\/(-7)). Solve -20 = -u*d + 9*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**11*z\/z**(2\/53) assuming z is positive.\nAnswer: z**(634\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -22 + 26.4. Let r = y - 4.40121. Round r to 4 decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 257 - 252. Let i = -11.5 + 16. Let j = 4 - i. Which is the biggest value?  (a) k  (b) 2\/15  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 21063 and 833.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 12578 and 14564.\nAnswer: 662","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -109373*j**3*w**3 - 36*j**2*w**3 + 569208738*w**3 wrt j.\nAnswer: -328119*j**2*w**3 - 72*j*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = 5*z + 9. Let x(q) = -11*q - 19. Let i(l) = -5*j(l) - 2*x(l). Let w be i(-6). Suppose -3*o + w = -2*o. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = 32*j - 11. Let y(z) = 31*z - 10. Let o(l) = 3*q(l) - 4*y(l). Let b(f) = 9*f - 2. Let s(x) = 7*b(x) + 2*o(x). Let c(a) = a. What is c(s(i))?\nAnswer: 7*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9\/59, -4\/9, -0.2 in descending order.\nAnswer: 9\/59, -0.2, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 105*n**2*r + 1368*n**2 + 370265*n*r**2 + 162811 wrt r.\nAnswer: 105*n**2 + 740530*n*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12532399.\nAnswer: 11, 1139309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -30192, -30266, -30390, -30564, -30788, -31062?\n\"Answer: -25*g**2 + g - 30168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + 0*z = -12. Let c(j) = -2*j - 6. What is the remainder when 9 is divided by c(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 184 minutes before 2:48 AM?\nAnswer: 11:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*r - 785*g + 18 = -787*g, -5*r + g = -14 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 56 = 2*b - 3*x, 7519*b + 4*x + 80 = 7523*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -x - 5*x + 18*x - 11*x + x - 6*x.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -500*m + 21 = -497*m - 4*y, m = -4*y - 9 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 9*n + 5. Let v(h) = 27*h + 14. Suppose 49*i = 64*i - 165. Determine i*b(k) - 4*v(k).\nAnswer: -9*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 27035 rounded to the nearest 100?\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 37773, 75523, 113229, 150879, 188461?\nAnswer: 225963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of -113307 and 2.\nAnswer: -226614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 8086, 32209, 72388, 128629, 200938, 289321, 393784, 514333?\n\"Answer: r**3 + 8022*r**2 + 50*r + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -a8 - 334?\nAnswer: -420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zu when two letters picked without replacement from {l: 1, e: 3, z: 1, i: 1, h: 3, u: 6}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 82\/11 - 84\/11. Let z = 44 + 2. Let l = z - 51. Which is the closest to 0.2?  (a) 1  (b) x  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h = 5*b - 0 - 2, h + 2 = 2*b. Let m be (-36)\/(-44) - b\/(-11). Calculate the highest common factor of 1 and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 2284, 9164, 20632, 36688?\n\"Answer: 2294*n**2 - 2*n - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 8, t: 5, a: 2, u: 2}. What is prob of sequence puta?\nAnswer: 1\/357","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 504 and 4448352.\nAnswer: 93415392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/(25\/(-10)*36\/(-15))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((1\/(6\/(-27)))\/(-3))\/(-3).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*a + 6*a + 2517. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = b**3 - 9*b**2 - 2*b + 15. Let p be g(9). Calculate the common denominator of -125\/18 and (p - (-60)\/18)*101\/(-14).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = a**2 + 5*a - 2. What is l(4)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 15\/55 - (-7 - (-160)\/22). Let q(b) be the third derivative of 0*b + 17*b**2 + 1\/3*b**3 + j - 1\/18*b**4 + 1\/270*b**5. Solve q(l) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 4\/12 + 7\/(-3). Let q(i) be the first derivative of -3*i**4\/2 - i**3 - i**2\/2 + 2*i - 5952. What is q(o)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) be the second derivative of w**6\/360 + w**5\/40 + w**4\/12 + 17*w**3\/3 - 2*w - 34. Let x(a) be the second derivative of p(a). Solve x(t) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 0.7938484 days?\nAnswer: 68588501760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0 + 3. Let v = 24 + -15. Let w = v - z. What is the remainder when 11 is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -8242720 divided by 14\nAnswer: -4121360\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1971 or 986?\nAnswer: 986","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 96 divide 17196672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Determine c, given that c**2\/7 - 1080*c\/7 - 1081\/7 = 0.\nAnswer: -1, 1081","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -47*r**2 + 7*r**3 + 1 + 98*r**2 - 2*r**3 - 2*r - 52*r**2. What is the remainder when 209 is divided by c(2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -77 + 93. Let v be (f\/(-6) - -5) + (-2)\/6. Solve 10 = v*o, -5*t + 5*o = -2*t + 34 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -k + 2 + 0 - 2. Let w be s(0). Suppose -5*q + 10 = 3*b, 5 + 0 = -3*q - 4*b. Solve w*r - 8 = -z + 2*r, q*z - r + 5 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.0523*612.\nAnswer: 32.0076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -247 plus -27.0453802077?\nAnswer: -274.0453802077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gpssppn. What is prob of sequence sns?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 21*s**2 - 125*s + 50. Does 58 divide a(-43)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-3)\/((m**1*m)\/m))**(-33)*(((m**(2\/5)*m)\/m)\/m)\/m**(-7\/2)*m**7*m*m*m**(-2) assuming m is positive.\nAnswer: m**(1419\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) be the first derivative of -t**3\/3 - 4*t**2 + t - 3. Let a be p(-5). Let o = -10 + a. Calculate the greatest common factor of o and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11338095 is divided by 863.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8730979 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 11 - 7 - b + 7. Let k be m(9). Suppose 0 = 3*g + 4*v - 26, 2*g = 7*v - k*v + 2. Are 6 and g unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 30*d + 43*d + 60*d.\nAnswer: 133*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:33 PM and 3:52 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -116*j**3 - 149*j**2 + 2*j + 2. Let m(u) = -117*u**3 - 149*u**2 + 3*u + 3. Let o(c) = -3*i(c) + 2*m(c). Find the third derivative of o(t) wrt t.\nAnswer: 684","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3634)\/(-5135)*4264\/164.\nAnswer: 92\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 491 minutes before 8:16 AM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p\/p**0)**(6\/23))**(-4\/29) assuming p is positive.\nAnswer: p**(-24\/667)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t = s + 5, -4*s = 2*t - 6*s - 2. Let p be (t\/(-2))\/((-8)\/(-352)). Which is smaller: 112\/5 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - ((-17 - (-3 - (9 - 1))) + -31).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10*s + s**2 + 5*s - 9*s)*(-4*s**2 + 0*s**2 + 2*s**2).\nAnswer: -2*s**4 - 12*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29*q - 25 = 14*q + 11*q + f, f - 5 = -2*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -4*m**2 - 14*m - 5. Let i(h) = -9*h**2 - 30*h - 11. Calculate -3*i(f) + 7*t(f).\nAnswer: -f**2 - 8*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3446?\nAnswer: 2, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 24085459 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -w**2 + 11*w - 4. Let i be v(10). Suppose -2*p = -0*p - i. Suppose -3*c + 6*c - 3 = 0. Calculate the greatest common divisor of p and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = l**2 + 9*l + 12. Let k be i(-8). Let u(p) = p**2 + 2*p - 2. What are the prime factors of u(k)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -34 = 9*z + 8*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 119*s + 39*s + 2054 = 0 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) be the second derivative of -k**7\/1260 + k**6\/720 - k**5\/120 - k**4\/3 + 2*k**3\/3 + 4*k - 17. Let s(x) be the third derivative of n(x). Give s(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 55*r - 840 = 50*r. Suppose -4*b = 2*f - r, -5*b - 4*f + 36 = -171. Are 0 and b non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2134410, -8537633, -19209662, -34150491, -53360114, -76838525, -104585718, -136601687?\nAnswer: -172886426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 3297 - 1569. Does 108 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + -5 + -2 + 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5158433538?\nAnswer: 2, 3, 19, 5027713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*c = 2*c + 15. Let b(f) = 34 + f**2 - 12 - 7 - c*f - 3*f. List the prime factors of b(15).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 645318090.\nAnswer: 2, 3, 5, 19, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -a - 4. Let f be j(5). Let v be (-2)\/(-6) - (-134)\/(-6). Let w = f - v. Is w a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 22221 + -11?\nAnswer: 22210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.1, -4, -2, 2, -549, 1\/9 in descending order.\nAnswer: 2, 1\/9, 0.1, -2, -4, -549","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 1  (b) -490  (c) -14583\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:57 PM and 3:28 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3083444\/(-99502) - (-2)\/(-178).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(6*sqrt(204)*-2 - sqrt(204))*-2)\/(sqrt(60)\/(sqrt(5) + sqrt(35)\/sqrt(7)) + 2*sqrt(108)\/sqrt(9)).\nAnswer: -52*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(7) - -1*sqrt(63)) + 0.\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = b. Suppose -2 = -4*p + c - 4, 0 = 4*c - 8. Let s be 2\/((-6)\/(-3) + p). Let w(n) = 2*n**3 + 4*n - 2. Determine s*w(t) - 2*z(t).\nAnswer: 2*t**3 + 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13749?\nAnswer: 3, 4583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -5*n - 2. Give m(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 132 (base 6) in base 4?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6*z**2 - 8*z + 8*z + (3*z + 0*z - 4*z)*(3*z - z + 3*z).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -103\/204001890 and 63\/50?\nAnswer: 1020009450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-160 - -184) + 3 + -1.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 307840 + -663441973.\nAnswer: -663134133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -7*10*1 + 4 + -4. Let s = 171 + k. List the prime factors of s.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 18*o**3 + 3*o**2 - 19*o**3 + 2 - 378*o + 379*o. Let k(x) = -3*x**3 + 8*x**2 + 3*x + 7. What is 3*k(c) - 8*v(c)?\nAnswer: -c**3 + c + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = l**2 - 17*l + 17. Give r(16).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -107 = -2*m - 69. Calculate the remainder when m is divided by ((-1)\/1)\/(2\/(-20)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -3\/1379  (b) 18  (c) 8  (d) -0.5  (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 122*j**3 - 61*j**3 - 67*j**3.\nAnswer: -6*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 106202.43 months to millennia.\nAnswer: 8.8502025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 17\/7 and 43\/187810.\nAnswer: 187810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 30793, 62095, 93403, 124717, 156037, 187363, 218695?\nAnswer: 250033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v + 3*s = -93, 3*s - 16 = -4. List the prime factors of v.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 7?  (a) -5  (b) 3  (c) 0.14  (d) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 42593.\nAnswer: 191, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 133120?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -94 + 95. Let x be (6 + -11)*(-1 - -1 - 5). Sort x, 2\/13, i in descending order.\nAnswer: x, i, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 48657335 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 <= 1390\/961?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 4\/(-6) - (-536)\/(-6). Suppose 4*f - 1 + 209 = -4*m, 0 = -5*m + f - 230. Let v = m - z. What are the prime factors of v?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) be the second derivative of -s**4\/12 - 5*s**3\/6 - s**2 + 2*s. Let a be t(-2). Let z(u) = u**2 - 4*u + 5. Let j be z(3). Solve l - a = j*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 4, e: 3}. What is prob of picking 3 e and 1 p?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 15, 35, 67, 111, 167?\nAnswer: 235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2.2 * 537.\nAnswer: 1181.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.004558215944 to six dps.\nAnswer: -0.004558","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 473088, 10, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1047 and 57?\nAnswer: -59679","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = 4*d**3 + 5*d - 11. Let p(h) = 3*h**3 - h**2 + 4*h - 10. Let a(j) = 4*m(j) - 5*p(j). Let u be (-14)\/(-168) + (-122)\/24. What is a(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3 = 3*z + 4*c, 3*z + 2*c = 7*z + 18 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = o**3 - 4*o**2 + 5*o - 2. Suppose 0 = 3*s - 4*x + 35, 39 = -5*s - 0*s - 3*x. Let h be (-18)\/4*6\/s. What is the units digit of p(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -a**3 - 7*a**2 + 18*a + 8. Let w be r(-7). Let m = 105 + w. Let k(s) = s**3 + 14*s**2 + 13*s + 10. Give k(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -3*z - 73. Let q be b(-25). Factor -1\/2*a**q + 1\/2*a + 1.\nAnswer: -(a - 2)*(a + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 1, b: 1, v: 1, c: 3, m: 1}. What is prob of sequence vcc?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 31 + -20. Let j be -3 - ((3 - n) + -3). Solve -8 - j = 4*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 29432?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.15 in 1, -0.4, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*z - 1249 + 1478 + 5*z)*(2*z - 2 + 2).\nAnswer: -2*z**2 + 458*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 237913251.\nAnswer: 3, 31, 113, 22639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.14  (b) 1\/4  (c) -29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -121\/10 and 2\/(-5) + 872\/(-220).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16807 = 586*q - 243*q for q.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -7 - -5. Let d be 4*v\/12*-3. Let j(h) = h**3 - 3 - d*h**3 - 4 - 3*h**2 + 4*h + 3. What is j(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = 6*i**2 - i**2 - 6 - i**3 + 2*i**2. What is x(7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -24*t + 14. What is v(0)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0*w - 1\/10*w**2 - 1\/10*w**4 + 0 + 1\/5*w**3.\nAnswer: -w**2*(w - 1)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 9 - 4. Suppose 7 = s*p + r + 3*r, -5*p - r = -13. Suppose a + a = 4*b + 32, -p*b = -a + 21. Solve -2*u - a = u - 3*l, -5*u + l = -6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10708319 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 2, 27, 4, -1555 in increasing order.\nAnswer: -1555, 2, 4, 5, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 11 + -20. Let z be (24\/o - -3)*15. What is the greatest common divisor of z and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 3379 divide 77296878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*p = -6*p + 8*p - 60 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (44 - -5) + 11 + (-31 - -23 - -14)?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 70*(-2)\/2*(945\/(-54))\/35.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.01 in -0.3, 0.4, 1872\/7, 3, 3\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 100 (base 2) to base 4\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2892 and 2601241212.\nAnswer: 2892","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -921453, -920525, -919597?\n\"Answer: 928*i - 922381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -10, 18, 80, 188, 354, 590?\nAnswer: 908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**23\/m*m**18*(m*m*m*(m\/(m**(-12)*m))\/m)\/(m*m\/m**11*m*m*m) assuming m is positive.\nAnswer: m**60","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2733 - 1987 = 1444*s - 1347*s - 840 for s.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 6 - -43. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) be the third derivative of -m**5\/60 - m**4\/8 - m**3\/3 + 6*m**2. Let y(w) = w**2 + 4*w + 3. Give -5*s(r) - 4*y(r).\nAnswer: r**2 - r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.5263533 to 4 dps.\nAnswer: -0.5264","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 65*r + 63015 = 68*r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = 1225*l + 20821. What is x(-17)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -2713  (b) -52  (c) -2\/5  (d) -5  (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find v such that 5*v**3 + 274905*v**2 + 3780149475*v + 41548387375 = 0.\nAnswer: -27485, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 5*j**2 - 10*j + 11. Let i(l) = -4*l**2 + 10*l - 10. Let w(r) = 2*d(r) + 3*i(r). Factor w(s).\nAnswer: -2*(s - 4)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1438332 is divided by 76.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/(w**(-1)*w)*w)\/w**(-5)*(w**0\/w)**1*(w*w**1*w)**(-7)*(w*w*w**(-1\/2))**(1\/7) assuming w is positive.\nAnswer: w**(-207\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*k**2 - 3*k**2 + 7*k**2)*(3*k - 2*k + 12*k)*(4*k + 1 - 1) to z + q*k + v*k**2 + o*k**4 + i*k**3 and give o.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 104 minutes after 4:59 PM?\nAnswer: 6:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4785\/(-18879) - (-4)\/14)*-2.\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 137988 and 6.\nAnswer: 137988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*l = -6*l - 40. Suppose 0 = 7*x - 11*x - f + 37, -15 = -5*x + l*f. Solve 4*c = 6*c + x for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0120024 to 5 dps.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 1 i when two letters picked without replacement from evvewklvlilvki.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 5 + 0. Suppose j - 5*a - 31 = 0, -a - 10 = -w*j - 5*a. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 156195 by 351.\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (2\/11)\/(1\/11). Let j(y) = -y**2 + 185*y - 6667. Let s be j(136). Which is the closest to -5?  (a) 1\/3  (b) s  (c) -1  (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -9*q**3 - 2*q**2 + 5*q - 18. Let o(j) = 10*j**3 + 3*j**2 - 6*j + 17. Let h(t) = -4*o(t) - 5*v(t). What is the second derivative of h(l) wrt l?\nAnswer: 30*l - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 49, -2, 11, 326.\nAnswer: -2, 11, 49, 326","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 72379 divided by -5.\nAnswer: -72379\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -5*o**3 - 6*o**2 - 7*o. Let s(i) = i**2 - 2 - 1 + i**3 + 3 + i. Let q(x) = 6*s(x) + v(x). Find the second derivative of q(m) wrt m.\nAnswer: 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) be the first derivative of 11*a**3\/3 + 1295. Let g(w) = 2*w + 45. Calculate g(r(d)).\nAnswer: 22*d**2 + 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in eleven halves of a gram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 19 - 0 - (770 + -732).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + -1 - ((196 - 175) + (-3 - -27) + 19)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 14868810?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 226 - 17 + 16*p - 110 - 99.\nAnswer: 16*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 2*a**2 - 5*a - 2. Let o(m) = 2*m**2 - 5*m + 2. Let p be o(3). Suppose -p = z - 9. Let g be f(z). Solve -6*b + 5*q + g = -2*b, -b + 5*q - 5 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 13402287?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -70 - -83. Suppose 6*v - 17 - z = 0. Let c be (0 - v)*(-72)\/(-60). Is -8 smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = 2*z**2 - 4*z + 3. Calculate the remainder when 24 is divided by x(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*o**3 + 1425*o**2 + 96880*o.\nAnswer: 5*o*(o + 112)*(o + 173)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -12726 divided by -21?\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 1, -141913, -3 in descending order.\nAnswer: 1, -1, -3, -141913","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -93*y**3 + 91*y**2 + 13*y - 67. Let m(k) = 47*k**3 - 42*k**2 - 6*k + 34. Give -13*m(n) - 6*q(n).\nAnswer: -53*n**3 - 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -110 or -1.7?\nAnswer: -110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 97.52 - 97.82. What is the third biggest value in u, 1, -2.66?\nAnswer: -2.66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -a (base 11) to base 7.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 744194.\nAnswer: 2, 11, 33827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 439341 at most as big as 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -7*t. Let p(y) = -2*y**2 + 2*y - 4502. Give p(q(w)).\nAnswer: -98*w**2 - 14*w - 4502","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 4124475 a multiple of 575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = t. Let a(o) be the third derivative of -5*o**7\/504 - o**5\/30 + 7*o**4\/8 - 33*o**2. Let q(u) be the third derivative of a(u). What is q(h(g))?\nAnswer: -50*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 35440 to the power of 1\/2, to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 47834 + -47833.879409. Round c to 2 dps.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000266374 to seven dps.\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -253?  (a) 1\/4  (b) 9\/4  (c) 1\/3  (d) -0.1  (e) -7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: Solve p + 3*s = 12, -3*s + 21 = -2*p - 0*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(102) - (sqrt(102) + sqrt(102) + -6*sqrt(102)*-1 + sqrt(102)))*2)\/((sqrt(384)\/(sqrt(8)*-2))\/sqrt(8)))**2.\nAnswer: 17408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 75486, 302019, 679568, 1208127, 1887690?\n\"Answer: -l**3 + 75514*l**2 - 2*l - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(3*(sqrt(272) + -2) + 2*(sqrt(272) + 2*sqrt(272) + sqrt(272) + sqrt(272) + sqrt(272) + sqrt(272) + sqrt(272)))*1*4 + -1)**2.\nAnswer: -133152*sqrt(17) + 14144977","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 9178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 190 - 923552?\nAnswer: -923362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -12*m - 22. Suppose 0 = -2*q - 3*q + 25. Suppose -q*a - 30 = -0. Is k(a) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*x + 5*x + 15 = 0. Suppose -g + 3*u + 55 = g, x = -g - 5*u. What is the remainder when 96 is divided by g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 655009600?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 6, x: 7}. Give prob of picking 3 x.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -k. Let s(i) = i**2 - 16*i - 5. Let n be s(16). Calculate j(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -798 + 475. Let o = 322 + k. Which is the nearest to 1?  (a) 4\/3  (b) 0.1  (c) -1\/11  (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 29582 - 29581.957. What is the closest to 2\/21 in 5, -0.4, 4\/3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 18 divided by -9\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c + j + 5 = 0, 49378*j = 4*c + 49374*j for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 491388763 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -131*m - 352 = 2268 for m.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - 6*p + 5*o = -21, p + 2*o - 2 = 0. Suppose 0 = 2*i - 0*i - 5*l - 75, 3*l - 141 = -5*i. Suppose k = p*k - i. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4 + 0. Solve f*b + 3 = -17 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 573264863*a - 1159400346 wrt a.\nAnswer: 573264863","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (2\/(-6))\/(8\/(-120))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u = -5*v + 60, 0*v = 3*v - 12. Let p = u + 12. Suppose 0 = -p*y + y + 9. Calculate the remainder when 15 is divided by y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 (base 9) to base 10\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 35 + -34.8. What is the nearest to b in -5, 5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 3*i**2 - 197*i + 254. Determine u(64).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((1 - 3 + 0)*(m + 3 - 3) + 0*m - m + 0*m + m + m + 0*m + ((3 + 2 - 2)*(-m - 1 + 1) + 44*m - 31*m - 19*m)*(1 + 8 - 40))*(2*m + 0*m - 4*m).\nAnswer: -556*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i, 1 e, and 1 x when three letters picked without replacement from {x: 3, i: 2, r: 5, s: 1, e: 3, c: 1}?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -134778494 divided by -1?\nAnswer: 134778494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -4, -619, -1 in descending order.\nAnswer: -1, -2, -4, -619","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0003688978 to 7 decimal places.\nAnswer: 0.0003689","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-171728)\/6 - 12)*(0 - 2700). Round u to the nearest one million.\nAnswer: 77000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 28434.64 - 28439.995601. Let b = k - -5.3856. Let o = b - 0.03. Round o to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 44208415.\nAnswer: 5, 17, 23, 22613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 1386\/(-70) + 4*304\/320?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Let i = 4 - -2. Let j be -8 - (-9 - -9 - 10). Let m(c) = 6709 + 6706 + c**3 - 7*c**j - 13411 + 7*c. Give m(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) be the second derivative of 51*c**5\/5 + c**4\/4 - c**3 + 2*c**2 + 76*c. Is t(1) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) be the first derivative of -5*c**4\/12 + 110*c**3\/3 - 1210*c**2 + 146*c + 129. Let l(u) be the first derivative of s(u). Factor l(d).\nAnswer: -5*(d - 22)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1283057 is divided by 681.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -w**3 - 7*w**2 - 7*w - 9. Let h be z(-6). Let x be 5\/4 + h\/3. Suppose -3*v + 0*n - 12 = 3*n, -22 = -2*v + 4*n. Is v not equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 952968?\nAnswer: 2, 3, 59, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) -1\/26  (b) -2\/3  (c) -3\/8  (d) 4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) be the second derivative of 3\/20*w**5 - 1\/6*w**4 - 1\/2*w**3 - w**2 - 11*w + 0. Let m be o(-1). Put -7, 2, m in decreasing order.\nAnswer: 2, m, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 0, 2\/5, -3\/4, 2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 210 a factor of 246750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 322928 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 3*v**3 - 95*v**2 + 60*v + 200. Calculate q(31).\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1931?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 56988 rounded to the nearest one thousand?\nAnswer: 57000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 73718838?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 62 - 59. Suppose 8*k - 13 - s = 0. Suppose -q + 21 = k*g, -7*g + 2*q = -8*g + 15. Solve -g + 29 = -4*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -s**3 - s**2 - s - 1. Let d be l(-1). Let b = d + 2. Suppose 35 = b*t + 3*t. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*m + 30 - 16 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = 403*o. Let h(n) = 127*n. Let s(d) = -6*g(d) + 19*h(d). Let f(m) = -5*m**2 - 6. Calculate f(s(b)).\nAnswer: -125*b**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 38097 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 678881543 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bbvbbvbbbbvbbbbbvvb. What is prob of picking 3 v?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -k + 1. Suppose -98*i + 90*i + 56 = 0. Let u(o) be the first derivative of -o**4\/4 + 2*o**3 + 9*o**2\/2 - 6*o - 1. Let p be u(i). Give j(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 15\/(-6)*32\/1560. What is the closest to 1 in a, 0.4, 1\/25?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*((sqrt(2448) - (-1 + -3*sqrt(2448)) - 1*(sqrt(2448)*3 + sqrt(2448))) + ((sqrt(2448) - (0 + -2 + sqrt(2448))) + sqrt(2448))*5 + 3)**2.\nAnswer: -122792 - 3360*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 385 minutes before 9:32 PM?\nAnswer: 3:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 320.299 nanograms in tonnes?\nAnswer: 0.000000000000320299","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*u**2 - 2*u**2 - 3*u**2)*(-51*u - 59*u + 584*u) + (5 - u - 11 + 4 + 15*u**2)*(0*u + 2*u - 4*u).\nAnswer: -978*u**3 + 2*u**2 + 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -157 in 1\/12, -2\/3, -0.044?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 39 - 60. Let t be (-3)\/((i\/4)\/7). Factor -13*f**3 + 5*f**3 - 8*f**3 - 20*f**2 - 8*f - 4*f**t.\nAnswer: -4*f*(f + 1)**2*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l + 11 = 51. Let h = -6 + l. What is the second derivative of 5*m - 3*m**2 - 4*m + h*m**2 wrt m?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(19) + sqrt(38)\/(sqrt(2) + sqrt(10)\/sqrt(5)) + 2 + 3 - (2*(sqrt(190) + sqrt(190) + (sqrt(190) - -2*sqrt(190))))\/(sqrt(1000)*1 + sqrt(1000)).\nAnswer: sqrt(19) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put together 1.0225910134 and -20291.\nAnswer: -20289.9774089866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -72956, -72877, -72796, -72713?\n\"Answer: d**2 + 76*d - 73033","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 10666052 a multiple of 216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 divided by -65052288.\nAnswer: 1\/21684096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (13 - 8) + 0 + -4 + -8.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*s + 6, 2*z - 3*s = 6 + 9. Solve 0 = 2*h - z*f + 13, -5*h + 5 + 0 = 5*f for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 1090384, 1090388, 1090394, 1090402, 1090412?\n\"Answer: u**2 + u + 1090382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 1886, 32, -1, 1 in descending order.\nAnswer: 1886, 32, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q*q**(-9\/4))\/(q*q*q**(3\/20)) assuming q is positive.\nAnswer: q**(-12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 517727841?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23 = 8*c + 3*b, -4*c + 2956 = b + 2965 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -6 - 49. Let b be ((-18)\/(-2))\/((-5)\/q). Suppose 5*z = -o + 255, 0*z - o = 2*z - b. Is z a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 174973834 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: Two letters picked without replacement from {a: 3, p: 1, f: 6, y: 3, l: 5, o: 1}. What is prob of picking 2 f?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -90 - -92. Let a = 56 - 5. Suppose -p = -b*p + a. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine u so that 29538*u**2 - 88606*u - 24 = 0.\nAnswer: -4\/14769, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 46\/33 and -28\/139088601.\nAnswer: 1529974611","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 32 a factor of 510208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 5855, 5787, 5719, 5651, 5583?\n\"Answer: -68*f + 5923","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w**3\/2 + 726009*w**2\/2 + 18877755*w\/2 + 122708703\/2 = 0. Calculate w.\nAnswer: -13, 242029","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*h = 2*w - 94, -890*h - 4*w + 18 = -892*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand l - 3*l**4 + 21*l**3 - 21*l**3 + (l + l - l)*(0*l**3 + 0*l**3 + l**3).\nAnswer: -2*l**4 + l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*x - x + 8*x)*(-5*x**2 + 4*x**2 - x**2)*(-1 + x + 1).\nAnswer: -18*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 + 2 = -4*d - m, -3*d - m + 11 = 0. Solve d = y + 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 206319391?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 4482?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(336))\/(sqrt(7) - ((sqrt(112)*-1 - sqrt(7)) + sqrt(7))).\nAnswer: 12*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*u**2 + 0*u**2 - 2*u**2)*(2 - 5 + 1)*(5 - 2 - 4).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 6 and 0.086170181.\nAnswer: 0.517021086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 307536 (base 9) in base 5?\nAnswer: 21321223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -12530143 (base 6) to base 14\nAnswer: -ab8bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2\/(-8) - 42\/(-8). Let t = 21 - 13. Let q be t\/10 + (-2)\/(-10). Which is smaller: q or x?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-3)\/24*-18 - (-12)\/16. Suppose 3*z = -n*p + 15, 0 = -5*p + 25. Which is the closest to 0?  (a) -2\/3  (b) z  (c) 7\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -o**2 - o - 1. Let a(d) = -10*d**2 + 4*d + 4. Calculate 3*a(m) + 12*p(m).\nAnswer: -42*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*u + 1224 = 10*u + w, -3*u = 5*w - 3668. Let c(m) = m + 6*m - 1226 + u - 3*m. Let b(q) = -33*q**2. What is c(b(z))?\nAnswer: -132*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 5, 86, 299, 710, 1385, 2390?\n\"Answer: 11*f**3 + 4*f - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 + 305 = 4*x. Calculate the remainder when x is divided by 0 - (-3)\/(-1) - (-24 - -2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d = -3 + 15. Suppose 2*p + 4 = d*p. Which is smaller: -2 or p?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 14\/19, 5, -3, 2\/27, -9 in descending order.\nAnswer: 5, 2, 14\/19, 2\/27, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 610003, 1219969, 1829939, 2439913, 3049891, 3659873, 4269859?\n\"Answer: 2*b**2 + 609960*b + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 145\/11928 and -69\/105364.\nAnswer: 632184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 99 and 12?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 959.\nAnswer: 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -5946 - -2?\nAnswer: -5944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -6+0.0614833\nAnswer: -5.9385167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 15 - 5. Suppose -5*a = -2*x - 3*x - u, 3*x = -3*a + 24. Suppose 2*z - z - 5*o = 13, -3*z - x*o + 21 = 0. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) be the second derivative of -5*z**4\/12 + 14*z. Let x(d) = -3*d. Give x(n(k)).\nAnswer: 15*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 681.9368ml in litres?\nAnswer: 0.6819368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) be the third derivative of 31*p**5\/30 + 19*p**4\/12 + p**3\/3 + 135*p**2. What is the second derivative of o(j) wrt j?\nAnswer: 124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 1, o: 2, x: 2, h: 1, j: 2, k: 4}. What is prob of picking 1 j and 2 x?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let 6705*r**3 + 33531*r**2 - 40200*r - 36 = 0. What is r?\nAnswer: -6, -2\/2235, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = 24*z**2 - 146*z + 542. Give i(5).\nAnswer: 412","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1.8 + -17.2. Let s = 17 + o. Let f = -631 + 630. What is the nearest to s in 1\/2, 2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mtmt when four letters picked without replacement from {t: 4, e: 1, s: 2, u: 1, m: 7}.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5035532, -5035533, -5035534, -5035535, -5035536, -5035537?\nAnswer: -5035538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 40 = 3*w. Let c = w - 1. What is the remainder when 17 is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*t**3\/3 - 229738*t**2\/3 - 2206671520*t - 431747419008.\nAnswer: -2*(t + 197)*(t + 57336)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -103*p + 100*p - 5*q - 14 = 0, -5*p = -2*q - 18 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -14069 (base 10) in base 5?\nAnswer: -422234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 10\/(-6) + (-3)\/9. What is the least common multiple of (c + 6\/9)*-3 and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/u**(-1\/3))\/(u*u**1*u)*((u*u**(2\/3)\/u)\/u)\/(u\/u**(1\/3)) assuming u is positive.\nAnswer: u**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -l**2 - 11*l + 5. Let m be u(-11). Solve 0 = -3*f - 5*z - 9, 0*z + 13 = m*f - z for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*m - 3*m - 3*l - 35650, 3*m - 2*l = 53460. Does 32 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -143*g**3 + 4*g**2 + 126*g - 113*g + g**2 - g**2 wrt g?\nAnswer: -858","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(85) - -1*(sqrt(85) + sqrt(85)*1) - sqrt(85) - sqrt(85) - sqrt(85)*2*6)\/(sqrt(45)\/((sqrt(9) + sqrt(9) + sqrt(441))*3))*6*5)**2.\nAnswer: 1349597700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -3*w - 63. Let f be j(-24). Suppose f*r - 34*r + 184825 = 0. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 54 minutes after 12:23 PM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.055, 1\/5, 102764 in descending order.\nAnswer: 102764, 1\/5, 0.055","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1565*b - 666*b + 5637*b + 492*b to m + x*b and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 0 + 2011220?\nAnswer: 2011220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -334 + 10621?\nAnswer: 10254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = 1511*t**3 - 17*t**2 - 28*t + 6. Let r(y) = 1510*y**3 - 17*y**2 - 30*y + 7. Let c(m) = 7*g(m) - 6*r(m). What is the third derivative of c(q) wrt q?\nAnswer: 9102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*m = -25*m + 260. Suppose 4*y - 36 = -k + m, -k = -2*y - 86. Calculate the remainder when k is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(-5)*v**(2\/5)*v)\/(v**(1\/3)\/v)**(-7))\/((v**0)**4)**(2\/23) assuming v is positive.\nAnswer: v**(-124\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12 + -57 + 32 + (27 - -1).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 807*w**2 - 482?\nAnswer: 1614*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -7*h**3 + 7*h**2 + 1. Let m(j) = 4*j**3 - 4*j**2 - 1. Let v(s) = s**3 - 5*s**2 + s + 7. Let d be v(4). Give d*m(x) - 3*w(x).\nAnswer: x**3 - x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -6*b**2 - 1517*b + 253. Let t be q(-253). Let r(f) = 3*f**2 - 2*f**2 + 15 + 4*f**3 - 3*f**3. Give r(t).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 2797167, 2797250, 2797345, 2797458, 2797595, 2797762, 2797965?\n\"Answer: f**3 + 76*f + 2797090","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2705 - -2705. What is the smallest value in 46, -1, 0.3, u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*n = -10*d + 15*d - 95 + 123, -15*d - 56 = 9*n - 10*d for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/8 of a micrometer in nanometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 0.3932, 2, -8, 2\/3, 0.007?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4386 is divided by 389?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -16 - -64. Let z = -13 + 26. Let a = -7 + z. Calculate the highest common divisor of t and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 a factor of 16250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -0.04, -108, -885 in descending order.\nAnswer: 2, -0.04, -108, -885","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l = -87 + 99. Let q be (1 + 1)*-1 + 26 + l. Solve 5*o - 4*o + 5*a = -q, 5*o - 45 = 5*a for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1874681.\nAnswer: 503, 3727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2102708?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 3209, 6377, 9545?\n\"Answer: 3168*f + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -i**2 - 67672*i + 220015?\nAnswer: -2*i - 67672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4 by 13079940.\nAnswer: 1\/3269985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*j - 5*s + 11 = -2*s + 37, -s = -2*s - 5 + 1 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 54*j - 56*j + 13937994 = 0. Let d = -20331003 - j. What is d rounded to the nearest 1000000?\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in n**2 - 69*n**2 + 42*n**2 + n**2 - 14*n**2.\nAnswer: -39*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**8\/x)**(4\/5))**(-4\/11) assuming x is positive.\nAnswer: x**(-112\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/5*330\/(-132).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 12 + (0 - 15) - 7\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 2*r**3 - 3)*(-5*r + r**2 + 5*r) + (-4*r**2 + 3*r**2 + 3*r**2)*(34*r**3 + 48*r**3 - 3*r**3).\nAnswer: 156*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 377339\/51 - 7399. Let l = 42697 - 1281043\/30. Calculate the common denominator of l and v.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) be the second derivative of 0 + 0*o**3 + 37\/20*o**5 + 0*o**2 - 31*o - 13\/4*o**4. Find the third derivative of p(x) wrt x.\nAnswer: 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.273 + -11.627. Let s = -12 - p. Let r = 207 + -1659\/8. Which is the closest to s?  (a) 2\/3  (b) 4  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -242\/3 or -80?\nAnswer: -242\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*d - 4*b - 9 + 40, -24 = -4*d - 3*b. Let p be (2 + (-14)\/4)*(-16)\/d. Suppose 0 = p*j - 6*j + 2. Is -8\/9 at most j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 2922?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -24627322.8 rounded to the nearest ten thousand?\nAnswer: -24630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = 14*b**3 + 8*b - 8. Let k(h) = 0 - 4*h**3 + 5 + 0*h**3 - 5*h**3 - 5*h. Let w be ((-2)\/(-4))\/(2\/(-4)). Let s be w\/(-2)*-5*2. What is s*f(j) - 8*k(j)?\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ulagv. What is prob of sequence vl?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -273  (b) -0.5  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -19548 - -2009369203.\nAnswer: 2009349655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 21517 is divided by 94.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.005693918 rounded to 5 dps?\nAnswer: 0.00569","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 38746561 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -199249200 divided by 600.\nAnswer: -332082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1, -2\/121, 3\/4?\nAnswer: -2\/121","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 340 and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-400)\/(-40)*3\/((-15)\/4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 35619 = -1066*x - 83*x for x.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 35954?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.78 + 1.22. What is the nearest to -2\/13 in -1\/7, -5, r?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*k + 801 = -827. Calculate the highest common divisor of 37 and k.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -446*k**3 + 7586*k**2 + 7960*k - 72 = 0. What is k?\nAnswer: -1, 2\/223, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1 - 3. Let f be (-2 + -18)\/(q\/17000). Round f to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = f**2 - 13*f + 12. Let q be d(11). Let i(c) = -2*c**2. Let t(h) = h**2. Give q*t(v) - 6*i(v).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1014221 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) be the third derivative of -k**7\/1680 + k**5\/30 - 3*k**2. Let f(v) be the third derivative of r(v). Let n(o) = -o**2. Calculate n(f(h)).\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -229212846 - 2.3\nAnswer: -229212848.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -62 + 62 - 2*v + 4*v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 309 minutes before 8:01 AM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = 2*p**2 + p + 1. Let k be n(-2). What is the second biggest value in 0.3, k, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4507?\nAnswer: 4507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = u**3 - 9*u**2 + 6*u + 4. Determine o(8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2399\/4, -5, -2\/11, -4\/9 in descending order.\nAnswer: -2\/11, -4\/9, -5, -2399\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -48786261475 + -10887?\nAnswer: -48786272362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 2 e when three letters picked without replacement from evevmemmmvmvemvvmmve?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -59731, -119300, -178869, -238438, -298007, -357576?\nAnswer: -417145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -3 >= -464\/109?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8 - (-7 - (-2 + 2) - 5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -k**3 - 4*k**2 + 7*k + 5. Determine p(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from midmmvwidimvdmid.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dded when four letters picked without replacement from edeeeeddeeddee.\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 4958151, 9916292, 14874425, 19832550, 24790667, 29748776?\n\"Answer: -4*t**2 + 4958153*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2550 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 next in 316, 320, 328, 340?\nAnswer: 356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = 263*w + 449. Give v(-2).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -5 - -9. Let g be (3\/(-2))\/3*-18. Let i = g + -10. Sort i, z, -5 in increasing order.\nAnswer: -5, i, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = n**2 + 9*n - 22. Calculate s(-11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 88*r - 85*r = -15 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*m + 2*m = -i - 12, 0 = -4*i + 12. What is the derivative of -2*r**3 + 0*r**m + 8 + r**3 - 11 wrt r?\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - 2*a = 23, -z + 3*z - 4*a = 26. Determine v, given that -3*v**5 + 6*v**3 - z*v + 0*v**5 + 2*v = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -16?  (a) 3  (b) 10\/1033  (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (11\/11)\/((147\/(-14))\/3)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 41156 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + (3 + -3*(sqrt(208) + (sqrt(208) - (0 + sqrt(208))))*-2 - ((3 + sqrt(208) + sqrt(208)*1 - sqrt(208) - -1*(1 + sqrt(208) + sqrt(208))) + -4)))**2.\nAnswer: 1872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-189)\/(-27) - 1984*-1?\nAnswer: 11, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*q - 4*q - 3*q + (-2 + 0 + 3)*(2*q - 3*q + 0*q) + 6*q + 81*q + 2 + 12*q to b + l*q and give l.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1441*b**2 - 1462*b**2 - 121 + 121.\nAnswer: -21*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 330241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express -9 + u**2 + 11 + 11 + (-3*u - 2*u + 4*u)*(11*u - u + 2*u) in the form l + f*u**2 + z*u and give l.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**3*r\/(r**(-2\/7)*r*r))\/((r\/r**(-1)*r)\/r*r**(-7)) assuming r is positive.\nAnswer: r**(51\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 210 and 385.\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 371868 divided by -123956\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 1\/4 of a millennium?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3557180 is divided by 151.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 11915672?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 1273 divide 3550341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -23559569, -47119136, -70678703, -94238270, -117797837?\n\"Answer: -23559567*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-147)\/98*(5 + -1). Let y be -2 + (-1)\/(t\/42). Factor -4\/5*c**2 + 2*c**3 - 8\/5*c**4 + 0 + 0*c + 2\/5*c**y.\nAnswer: 2*c**2*(c - 2)*(c - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1101 - 992. What is the second smallest value in -5, 1, -0.3, v?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -16411 + 10?\nAnswer: -16401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:48 AM and 7:17 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -5 - 4743802\nAnswer: -4743807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 21557 - -2442?\nAnswer: 24110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/4 in 3, 1, -0.5, 2\/9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 266402111.\nAnswer: 266402111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 2750432100 to the nearest one million.\nAnswer: 2750000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 120 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10 + 17 - 23)*(3*n**5 + n**5 - 5*n**5).\nAnswer: -4*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 5775 to the power of 1\/2, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -28020 or -364272\/13?\nAnswer: -28020","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/3 in 2, -0.25, -4\/7?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*v - 22 = 18 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -233 - 21?\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.4, 2, -0.065, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -74*z - 4 = -75*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2655, -13, 2 in ascending order.\nAnswer: -13, 2, 2655","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1305313 or -1305194?\nAnswer: -1305194","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -5810 - -8529. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine s, given that -3*s**3\/8 - 135*s**2\/2 - 29151*s\/8 - 205953\/4 = 0.\nAnswer: -79, -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -4*p - 1. Let g be f(-1). Let d(r) = -g + 0*r**2 + 2 - 1 + r**2. Let t be d(-2). Solve t*w = -3*w + 25 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 336194 to the nearest integer?\nAnswer: 580","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y*y\/y**(-14))\/y**(-5\/4))\/(y\/(y\/y**(7\/4)*y)*y*y*y**(-6\/7)) assuming y is positive.\nAnswer: y**(215\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-7 - -5)\/2 + 3. Suppose 5*n = 3*n + 16. Suppose -70*m**4 + 2*m**v - 58*m**2 - 4*m**3 + 131*m**3 + n*m - 9*m**3 = 0. What is m?\nAnswer: 0, 2\/7, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) be the first derivative of -u**4\/4 + u**3 - u - 1. Let m be o(2). Suppose 0 = n + m - 10. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 423 minutes after 10:20 PM?\nAnswer: 5:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 346 or 343?\nAnswer: 346","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 6 = -4. Suppose -8 = x*f - 3. Which is the nearest to 0?  (a) -4  (b) 3  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1545829*f + 652 - 1545829*f - 25*f**3.\nAnswer: -25*f**3 + 652","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0041940684 rounded to 3 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -x**2 - 46*x + 15. Calculate a(-52).\nAnswer: -297","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1478 + 1477.7. Let o = 1.75 + 0.05. Let w = 0.8 - o. Which is the third biggest value?  (a) -1\/5  (b) -3\/8  (c) w  (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4610.2 + 4610.2. What is the nearest to 3 in -2\/5, -16, y, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16561 is divided by 4138.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 12320424 (base 5) in base 10?\nAnswer: 120114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w - 1356 = 4*m, 0 = w - 0*w - m + 331. Which is bigger: -336 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) be the first derivative of -2*c**5\/15 + 32*c**4\/3 - 124*c**3\/9 - 64*c**2\/3 + 42*c + 1595. Find o such that d(o) = 0.\nAnswer: -1, 1, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 198 + -100. Let n be -3 + 5 + g*1. Suppose -2*a + 4*i + 30 + 10 = 0, -i + n = 5*a. Is 17 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.12 less than -6993?\nAnswer: -6993.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 2683732, 5367462, 8051190, 10734916, 13418640, 16102362, 18786082?\n\"Answer: -d**2 + 2683733*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 18\/3 + -2 + 1. Suppose -15 + f = -d + 3*x, -d - 18 = 4*x. Let o be 2\/(-2) - (3 + 0). Which is bigger: o or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -7 - -14. Suppose 2*g - 1 = d. Solve g*k + 5 = 21 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2391?\nAnswer: 3, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let -n**4\/4 + 183*n**3 - 122801*n**2\/4 - 313989*n\/2 - 189720 = 0. Calculate n.\nAnswer: -3, -2, 272, 465","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 9657916000 to the nearest 1000000.\nAnswer: 9658000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -277 + 537 = 15*g + 320 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 310 + -93. List the prime factors of f.\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3612 divided by -903\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t + 6 = -2*r, 39*t = -r + 42*t + 13. Find the common denominator of 5\/(-6)*(35\/15 - r) and (-13)\/8*(-4)\/6.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -517259707 plus 8?\nAnswer: -517259699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-7365)\/(-1473))\/(1*(-10)\/44)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 7696 - 7700. Let q(h) = h**3 + 2*h**2 + 4*h + 10. Determine q(u).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3 - 8. Let y be (920\/(-50) - -18)\/(12\/(-10)). Which is the closest to y?  (a) s  (b) 4  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 48 - -34. Suppose -d*h = -85*h - 21. Let i(a) = -a**3 - 5*a**2 - 7*a - 17. List the prime factors of i(h).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (32*k**4 - 68*k**4 - 35*k**4)*(-9*k - 9*k + 8*k).\nAnswer: 710*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 208*s - 41*s = -6037 - 15005 for s.\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2306*p**2 + 6898*p**2 - 2298*p**2 - 2303*p**2.\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - 2*j = 803, -13*j + 8*j = 5*o - 1305. Suppose -34*s + 60*s - 182 = 0. Calculate the lowest common multiple of o and s.\nAnswer: 1855","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1182 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1.047 - -0.047. Let m = 0 + -0.2. Let r be -1*4\/(12\/9). Sort m, z, r in descending order.\nAnswer: m, z, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1541065 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (13 - (22 - -3)) + -7 - -1.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4477*r**4 - 662*r + 1162*r**4 + 2007*r wrt r?\nAnswer: -39780*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 42155, 42095, 41997, 41861, 41687, 41475, 41225?\nAnswer: 40937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 677933617 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: Solve 112 + 196 = -28*t for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 104*86\/1677*102\/(-8).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -7 - -7.6. Let x = 11 - 11.5. Let c = t + x. Round c to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) be the first derivative of -b**7\/105 - b**5\/20 - b**2\/2 - 3. Let m(t) be the second derivative of f(t). What is the third derivative of m(c) wrt c?\nAnswer: -48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 42180.64147 rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*g + z + 135, -39 = -5*g + 2*g + 9*z. What is the remainder when g is divided by 1\/(122\/30 - 4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (48*a + 302 - 302)*(5 + 2*a**3 - 5).\nAnswer: 96*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - 2 = 3. Let b = 103 + -155. Let r = b + 50. What is the third biggest value in r, m, 1\/2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/(l**19*l))**(-21)*(((l\/l**(2\/123))\/l*l)\/l)**(5\/4) assuming l is positive.\nAnswer: l**(98149\/246)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 201453?\nAnswer: 3, 7, 53, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = s**2 + s + 11. Let z be u(0). Let o = z - -5. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -240*v**5 + 5849*v**4 - v + 790496 wrt v?\nAnswer: -4800*v**3 + 70188*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*((sqrt(891) + 1)*-3 + sqrt(891)) - -1*3*sqrt(11)*-1*5)**2.\nAnswer: 198*sqrt(11) + 11988","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 10*m**5*n + 4*m**4 - 2*m**3*n + m*n + 11*m + 22*n wrt m.\nAnswer: 200*m**3*n + 48*m**2 - 12*m*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (8\/3)\/(1\/6). Suppose 3*n - 4*n = 6. Let l = g + n. 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: Let t(l) = -11*l + 2. Let f(z) = 13*z - 2. Give -2*f(k) - 3*t(k).\nAnswer: 7*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kkkkkkkkikkiki. What is prob of picking 3 k?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k*k*k**1*k)**(-2\/21))**(3\/10)\/((((k\/((k**(-3\/7)*k)\/k))\/k)\/(k**(-1\/2)*k*k*k))\/(k\/k**(-1))**33) assuming k is positive.\nAnswer: k**(4757\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 31 + 897154b?\nAnswer: 8971580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 174206278?\nAnswer: 2, 23, 1399, 2707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -465*l**2. Let k(j) = 1005376*j. Give x(k(o)).\nAnswer: -470013119139840*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-12)\/(-9)*6*(-567)\/(-168).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-480)\/45 + 11 - 210\/(-18)) + (-1246)\/105.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.9 to one dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -1527, -1519, -1509, -1497, -1483, -1467, -1449?\n\"Answer: l**2 + 5*l - 1533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (14\/(-77) - (-138)\/33)\/(2\/4). Solve 2*a - 2 = -d for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w = -4*q + 11, 2*q - 22 = -381*w + 377*w. Solve -c - w*z - 13 = -5, 0 = -3*c - 5*z - 16 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -3103121001 + 0?\nAnswer: -3103121001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -36 + -5311?\nAnswer: -5350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 2645 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s = -2*r + 26, 4*r + s - 6 = -20. Which is the nearest to r?  (a) 2  (b) 3\/8  (c) 0.3  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -d**3 + 7*d**2 - 2*d - 5. Let i be k(6). What is the greatest common factor of i and 152?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 40754 is divided by 338?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -5 - -10442504?\nAnswer: 10442455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - 1125 = 55. Suppose -609 = 3*y + 540. Let o = y - -397. What is the remainder when u is divided by o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -u**2 + 5*u + 29. Let z be o(-3). Suppose -h = -2*p + 5, -3*p + p + z*h + 9 = 0. Solve -7*j + 5*b - 13 = -4*j, 0 = -p*j - 4*b + 28 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (2 + -10)*8\/16 + 3. Which is the second smallest value?  (a) -11  (b) -0.5  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-9)\/2 - -4)*(-28 - 2). Let w(g) = g**2 - 13*g - 27. What is the least common multiple of w(d) and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30 a factor of 19759?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 14) to base 16.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 435 + 557 + 432*y**2 + 354 - 2269*y**2 wrt y?\nAnswer: -3674*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 162 + -163. What is the nearest to -2 in -2, j, -1\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 20 and 6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g = 2 - 17. Solve 3*k = -0*k - 4*y - 11, 4*y = -5*k - g for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -6 + 5. Let q be 3 + p - (-1 + 1). Suppose 3*w - 21 = -5*u, 3*u + 3*w - 2 - 13 = 0. Sort 0.5, q, u.\nAnswer: 0.5, q, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -z + 4*x + 91, -z - 5*x = -2*z + 88. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-5*n + n + 3*n)*(22*n + 6*n + 29*n) + 2*n**2 - n**2 - 5*n**2)*(-7*n - 5*n + 10*n).\nAnswer: 122*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 81*w**6 + 12496*w**5 - 3*w**4 + 16083348*w**2 wrt w?\nAnswer: 9720*w**3 + 749760*w**2 - 72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-96)\/(-528)*(-299 - 9).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 55808738*-12\nAnswer: -669704856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 2920 divided by 1460\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -c**3 - 8*c**2 + 8*c - 13. What is z(-9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 1102 (base 3) to base 14\nAnswer: 2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from opp. Give prob of picking 2 p and 1 o.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36 = -5*i - 3*b - 2, 2*b - 31 = -5*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 53 + 2652?\nAnswer: 2715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 35598\/4 - ((-2)\/6)\/(46\/(-207))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 143*s**6 - 297*s**2.\nAnswer: 17160*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -40104335 (base 6) to base 10\nAnswer: -1128515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1179*l - 57192 = 274*l - 15562 for l.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3 - -5. Let j = -73 + 366\/5. Let l = -3.418 + 3.418. Put -3\/8, a, j, l in descending order.\nAnswer: a, j, l, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -75\/1832072 and 1\/3300.\nAnswer: 137405400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (-48 - -22) + 25 - (16 - -3)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*t + t - 5*t)*(2*t**2 + 4*t - 4*t) - 2*t**3 - 2 + 2 + (t + t - t)*(-3*t + 3*t + t**2) + 4*t**3 - 7*t**3 - 3*t**3.\nAnswer: -11*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-3 + 1 + 0)*(-2 + 0 + 1) + 2 + 3 - 6 + 1 + 1 - 1)*(137*x**3 - 40*x**3 + 48*x**3) in the form q + k*x + l*x**3 + n*x**2 and give l.\nAnswer: 290","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1466, -2930, -4392, -5852, -7310, -8766?\nAnswer: -10220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2774 = 30*w - 1681 + 1725. Calculate the remainder when 906 is divided by w.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence df when two letters picked without replacement from {d: 2, f: 5, c: 2}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -51\/2 - -25. Let w = -3.23 - -0.23. Which is the third smallest value?  (a) -2\/7  (b) n  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*l = 3*s - 20, 1246*l - 5 = 2*s + 1247*l for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: Is 5992444401 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z, 1 q, and 2 i when four letters picked without replacement from {q: 5, e: 2, z: 4, i: 7}.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide 13 by 15.\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = -3*a + 5*g, 0 = -g - g. Let r(i) = -4*i + 7. Calculate r(a).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*x = 4*w + 82, -7 = -3*x - 0*x - 5*w - 57 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -w**4 + w**2. Let v(f) = -f**4 + 35*f**3 - 59*f**2 - 215*f - 120. Let s(z) = 6*i(z) - v(z). Factor s(o).\nAnswer: -5*(o - 3)*(o + 1)**2*(o + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (3 + 6 + -6 + -8 - -7) + 22?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -o + 5, -50 - 25 = 5*f + 5*o. List the prime factors of 5*((-192)\/f)\/1 + 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(36))\/(3*sqrt(192)) + ((sqrt(18)\/(sqrt(18)\/sqrt(3)) + sqrt(3) + -1)**2 - (-5*(-1*sqrt(3))**2 + (sqrt(63)\/sqrt(3))\/sqrt(7))).\nAnswer: -21*sqrt(3)\/4 + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 3\/304 or -1?\nAnswer: 3\/304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert -a828 (base 12) to base 10.\nAnswer: -18464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*n - 100 = -0*n. Let f(c) = 7*c**2 + 3*c + 1. Let i be f(-1). Solve n*t = i*p + 25, 2*t - 15 = -2*t - p for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -x + 15*x + 17*x as w*x + u and give w.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.308 + 30.358. Let p = 30 - u. Sort 4, p, 1\/6 in ascending order.\nAnswer: p, 1\/6, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (6*2\/18*-1)\/(160\/(-60))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o = 4*o + 140. Let x = 60 + o. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 10*t + 7 - 5)*(2*t**2 - 5 + 5).\nAnswer: 20*t**3 - 4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1362664655 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put -10985, -3, -40 in descending order.\nAnswer: -3, -40, -10985","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (-13)\/(27\/(-945)*35)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-7)\/4*2)\/((4455\/(-3300))\/((-6)\/(-5))).\nAnswer: 28\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(90)*-6 - sqrt(90)) + sqrt(90))*-3 + sqrt(90) + sqrt(90) - sqrt(90))\/((sqrt(2592) + sqrt(32))\/sqrt(4)).\nAnswer: 57*sqrt(5)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lctavallltlltltc. Give prob of sequence cca.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) be the first derivative of -753*g**4\/4 - 36*g**3 - 5*g + 840. Find the third derivative of l(k) wrt k.\nAnswer: -4518","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 87*s - 3 - s**3 - 2 + 5 - 50*s.\nAnswer: -s**3 + 37*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence efff when four letters picked without replacement from ehcfhfefahtfeh.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3126.\nAnswer: 2, 3, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2341\/6 or 0?\nAnswer: -2341\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -10.007 - -10.85. Round n to two decimal places.\nAnswer: 0.84","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-28)\/30*318\/(-212).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -127732 divided by -2903.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 17\/10 of a kilogram in grams?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -166180 - -111742. Is 2\/(-16) + s\/(-48) + 7 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7071?\nAnswer: 3, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6 = -3*m - 5*u + 16, 0 = -4*m - 4*u + 24 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 411 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*k - 5*t - 1419, 10*k = 12*k + 4*t - 690. What is the hundreds digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-3 + 2)*(0 + 103). Let r = k - -43. Let d be (-1)\/(4 + r\/8). Is d greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -335 or 40?\nAnswer: -335","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 3 + 13020502?\nAnswer: 13020505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 = -g + 3. Let a = 12 + g. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -9, -1, 11, 27, 47, 71, 99?\n\"Answer: 2*y**2 + 2*y - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:30 PM and 10:08 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 15 - 13. Suppose 16 = -16*k + 20*k. Sort 0, k, x, -5 in increasing order.\nAnswer: -5, 0, x, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve h + 2 - 4 = -2*m, 6 = 2*m + 2*h for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -203 - 290 + 17 = -119*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 3 + 244228?\nAnswer: 244232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -1765, -6824, -14777, -25222, -37757, -51980, -67489, -83882?\n\"Answer: 67*l**3 - 1849*l**2 + 19*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*y + 4*z + 10, -10 = 4*y + y - 2*z for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-18)\/(-63)*((-7)\/2)\/((-25)\/10). Factor q*y + 2\/5*y**2 + 0.\nAnswer: 2*y*(y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 924 is divided by 436.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2340 + 2340. Solve 0*x + 36*x + 180 = k for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 20*(-497)\/(-12780)*12\/14. Factor -22\/3*x - k + 85\/6*x**2 + 125\/6*x**3.\nAnswer: (x + 1)*(5*x - 2)*(25*x + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = m**2 - 8*m + 2. Calculate r(9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -m**3 + 3*m**2 - m - 3. Give p(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1965366 and 78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2*(2 + (-2475)\/(-6)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 176\/31 + -797\/124. Which is the smallest value?  (a) -8  (b) -1\/2  (c) s  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 269\/7 - 32\/(-56). Let z = x + -40. Put z, -6, 4 in increasing order.\nAnswer: -6, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = z**3 + 9*z**2 - 6*z - 9. List the prime factors of a(-4).\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j = -a, 7*j = 7*j + 4*a + 8. Suppose 3*b + 20 = 8. Let l be j + (b - 258\/(-6)). Calculate the highest common divisor of 10 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -16, -7, 14, 53, 116, 209?\nAnswer: 338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -66936120, -66936125, -66936132, -66936141, -66936152, -66936165, -66936180?\nAnswer: -66936197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 133 and 511?\nAnswer: 9709","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cx when two letters picked without replacement from {w: 3, t: 3, c: 3, x: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kmfmfmkkmmkmmkmm. What is prob of sequence mkmf?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 10*w**6 - 16501151*w**4 - 5736307*w**2 - 7*w wrt w?\nAnswer: 1200*w**3 - 396027624*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 14 and 2653?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3.32 or -0.1?\nAnswer: -3.32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 0.23 - 1223937565\nAnswer: -1223937564.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 715 and 77077?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*c**4 + 0*c**4 - 2*c**4)*(5 - 4 - 2)*(-3*c + 4*c + c).\nAnswer: 14*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2730, 2673, 2642, 2649, 2706, 2825?\nAnswer: 3018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:09 AM and 6:00 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*g - 3 = -4*j + 3, 3*j - 4 = g for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -2d137 (base 15) in base 5?\nAnswer: -14123102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 57a50 (base 12) to base 7\nAnswer: 665625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (11\/33)\/((-200)\/48)\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21*b + 23*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 5629.27942 - 5628.8. Let d = 0.48 - q. Round d to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 43?  (a) -2  (b) 0  (c) 0.4  (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -3*s. Let o be y(-2). Solve -m + 4*m + o = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.13 - 0.22. Let p = u - 3.91. Let y = 1021\/1685 - 2\/337. What is the closest to -1 in p, -0.5, y?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 11 - 8. Suppose -5*j + s*q = -495, 5*q - 11 = -36. Suppose 2*b - z = 39, 5*b - 2*z + z - j = 0. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (2 + sqrt(833)*-1)**2 + (2*sqrt(833)*-2)**2 + -3*sqrt(833)*1*1 + 0.\nAnswer: -49*sqrt(17) + 14170","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = i**3 + 4*i**2 + 2. Let t = 5 + -9. Let n be u(t). What is the common denominator of 333\/(-40) + n\/10 and -27\/10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1500 divided by -6.\nAnswer: -250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 369 and 324.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 2484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -186*y + 153*y + 99 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3*((-28)\/(-35))\/(10\/(-25)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -2*c**2 + 2560*c - 72543. Give q(29).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 9200 and 48894800?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -67\/6, 734, -5, 19?\nAnswer: 734","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1537 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 135 + -132. Suppose 4*c = -5*s + 1430, 0*c = o*s - 2*c - 858. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -j**3 - 2*j**2 - 4*j + 13. Determine d(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m - 3*r = 2*m + 3092, 1536 = -2*m + r. What is m rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from oaxdxdx. What is prob of picking 1 a and 2 x?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 860\/8 - 20\/(-40) is divided by 23?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.05966 take away 15441477726?\nAnswer: -15441477726.05966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -t**2 + 15*t - 14. Let o be i(14). Suppose 2*s - 2*n = 14, -5*s = -2*n - 23 - o. Sort -3, s, -5, -1 in decreasing order.\nAnswer: s, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*w**3*z**5 + 100*w**3 + 186*w**2*z**2 - 15552*z**6 wrt z?\nAnswer: -120*w**3*z**2 - 1866240*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -2*h**2 - 160*h + 47. Give t(-79).\nAnswer: 205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*a + 17478 = -5*a. What are the prime factors of a?\nAnswer: 2, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-12)\/9 + 2)*6. Suppose 6*y + 5*k - 40 = 2*y, -b*y + 2*k = -12. What is the least common multiple of y and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 22 in 2, -3, 0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 53 a factor of 142153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 371 minutes before 1:37 AM?\nAnswer: 7:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 642, 682, 750, 852, 994?\nAnswer: 1182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 3 = -5. What is the third derivative of 3*y**2 - 2*y**2 + 5*y**p + 5*y**4 + 5*y**2 wrt y?\nAnswer: 120*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 140198 = -11889*z - 610975 - 295059 for z.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -28709 + 28747. Put q, -4, -0.028 in decreasing order.\nAnswer: q, -0.028, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(187) - -1*sqrt(187)*-6) + (sqrt(187) - (4*1*sqrt(187) + sqrt(187))))\/(-3*sqrt(22)\/sqrt(2) + (sqrt(121) + sqrt(121) + 2*sqrt(121))\/sqrt(11)).\nAnswer: -9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -a + 13. Is 6 a factor of t(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-290)\/(-290)*(-16)\/18*(-4)\/(-8)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -454*c + 392. What is the hundreds digit of u(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, 5, 1012, -3.\nAnswer: -3, 5, 7, 1012","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*r - 1 + 1)*(-3*r**2 + 1 - 1) + 26*r - 2*r**3 - 26*r as i*r**3 + b*r**2 + m*r + a and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -6*f**3 + 385*f**2 - 447*f + 308. Give w(63).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s + 24 = 5*k - 8, 3*k = 4*s. Suppose y - 12 = -s*y. Let l = 6 + -3. Solve l*c = 15 - y for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 2152601870?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -6375 - -13443. Suppose -2*g + 3*c + c = z, -5*g + c - 17652 = 0. Let f = g - -1570. Round f to the nearest 100.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 78389\/2730 + -201\/7. Let g = m + 419\/1092. Let j = 2\/15 - g. Which is smaller: -15 or j?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1548.4662721 to 1 decimal place.\nAnswer: -1548.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -14*f - 7. Let b(h) = 13*h + 6. Determine -6*b(m) - 5*p(m).\nAnswer: -8*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 660882305 to the nearest integer?\nAnswer: 25708","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) be the second derivative of r**3\/3 - 3*r. Suppose 64 = 9*p + 46. Let z(w) = 7*w**2 - 10*w**p + 3*w**2 + 2*w**2. Determine z(y(t)).\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 110047?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3 + -3.3. Let j = -87 + 87.3. What is the second biggest value in r, 0.2, j?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -448*w + 11732 = -434*w. What is the remainder when w is divided by 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 4, v: 5, f: 2}. What is prob of picking 1 f and 1 v?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*w**4 - 27*w**3 + 114*w**2 + 864*w - 1920.\nAnswer: -3*(w - 5)*(w - 2)*(w + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 13444 + -6439. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 194069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) be the first derivative of j**4\/2 + 8*j**3\/3 + 7. Factor z(a).\nAnswer: 2*a**2*(a + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = v**3 - 10*v**2 + 9*v + 5. Let f be m(9). Let u(b) = b**3 - 5*b**2 + 2. Let o be u(f). What is the units digit of 9 + o + -4 + 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1281707280 + 71798.\nAnswer: -1281635482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve h + 4 - 2 = 3*x, -2*h + 12 = 2*x for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4672.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v*v**(-2)\/v)\/v**6)**(-3\/4)*((v**(2\/7))**(1\/2))**35 assuming v is positive.\nAnswer: v**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -6e0b0 + 8?\nAnswer: -6e0a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 36 + -24. Let j(k) = -5*k**2 - 4*k + m*k + 6*k**2 + 11. What are the prime factors of j(-8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = 10*k - 2*k + 21*k**2 - k**3 + 9*k - k**2 - 1059 + 1144. Determine z(21).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1)\/4 + (-25)\/(-4). Let y = 14 - 23. Calculate the remainder when 10 is divided by (y\/2)\/(w\/(-8)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10645 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2536 and 152?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-q**4 + 0*q + 0*q)*(-q - 3*q + 2*q + (4 - 4 - 1)*(0*q - 4*q + 2*q) + 5*q + 8*q - 4*q).\nAnswer: -9*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of -9*(-8 + 10) - -4581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 73243 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(84)\/sqrt(3) - (1 + sqrt(847))**2 - (sqrt(77)\/(sqrt(275)*-4 + sqrt(275)))**2) + -3.\nAnswer: -191482\/225 - 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) be the first derivative of 1\/3*m**3 + 19\/7*m**7 + 48 + 0*m + 0*m**6 + 35\/2*m**2 + 0*m**5 + 0*m**4. What is the third derivative of q(s) wrt s?\nAnswer: 2280*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -m**2 + 7*m + 2. Let s be h(7). Suppose -2*x + 2 = -2. Find the first derivative of -3*l**s + 5*l**x - 1 + 0*l**2 wrt l.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2165 - 643. Suppose 0 = -9*w + 971 + z. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = c - b - 0, -5*c - 4*b + 41 = 0. Let z = 76\/231 - -1\/231. Let l = 0 + -0.1. Put z, l, c in decreasing order.\nAnswer: c, z, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -1639, -6567, -14779, -26275, -41055?\n\"Answer: -1642*y**2 - 2*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 53317681 times -5\nAnswer: -266588405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/(s*s\/(((((s\/(s*s**(1\/5)*s))\/s)\/s)\/s*s)\/s*s)*s)*s*s\/s**1)**(15\/2)*(s**(-3\/5)\/(s**(-3)*s))**(6\/37) assuming s is positive.\nAnswer: s**(-11571\/370)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ewffwsmgmwwwmgmm. Give prob of picking 1 g, 1 w, and 1 s.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1349?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 104*g**2 + 42943*g - 42943*g.\nAnswer: 104*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ro when two letters picked without replacement from oyyxyorzy?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand -a**3 + a**3 - a**5 + (-2*a - 2 + 2)*(5*a**4 + 3*a**4 + 3*a**4) - 91*a**5 + 79*a**5 + 287*a**5.\nAnswer: 252*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 4*c - 29 = 0, -4*j + 7*c = 10*c + 3. Suppose -5*h - 4*y + 20709980 = 0, -3331185 - 9094790 = -j*h - 5*y. Round h to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5*(8\/(-2))\/(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 13 + 47 + 2*x**2 + 456*x - 180 + 55 + 46 with respect to x.\nAnswer: 4*x + 456","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9851.879ml in litres?\nAnswer: 9.851879","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 410507 is divided by 58640?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Add -4981206 and -51.\nAnswer: -4981257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 7379 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: Round 8858971.45 to the nearest one hundred thousand.\nAnswer: 8900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/6?  (a) -0.2  (b) -5  (c) 230  (d) -2.2  (e) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3.082 in 5, 0.5, -3\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 622749064 divided by -14.\nAnswer: -44482076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 189e + 59?\nAnswer: 18f7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {d: 2, a: 3, l: 1, u: 4}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 288 = 28*k + 8*k for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 17 + -12. Suppose 2*f = k*l, -5*f - 2*l = -3*l. Let p(m) = m**3 - 7*m + 39. Let z be p(-4). Solve f - 12 = -z*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) be the first derivative of -1\/3*t**3 + 0*t**2 + 2 + 0*t. Let p(v) = -2*v**2. Let a(b) = -b**2. Let i(c) = -3*a(c) + 2*p(c). Determine i(x(y)).\nAnswer: -y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 93, 113, 131, 147, 161, 173?\n\"Answer: -w**2 + 23*w + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + sqrt(1053) + 3 + (1*sqrt(1053))**2*5 + 5.\nAnswer: 9*sqrt(13) + 5273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (64\/(-42) + -36 + 23220\/630)*3\/(-41).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1008130977366 less than -0.3?\nAnswer: 1008130977365.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 450871283?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 277 + 108. Suppose -q + 4*v + 77 = 0, -5*q - v + 3*v = -b. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -2*p**3 - 2*p**3 + 0 - 2 + 4*p**2 + 2*p. Let q(z) = 5*z**3 - 5*z**2 - 2*z + 3. Let a be (1 - (-4)\/(-8))*6. Let k(r) = a*q(r) + 4*m(r). What is k(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = b**2 - 5*b - 4. Let i be j(6). Let a be -4*((-198)\/24 - -7). Let s be ((-150)\/(-5))\/a + 1. Solve -i*n + s = -m - 3*n, -5*m = n + 15 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, -0.5, 2, -44, 1\/2 in descending order.\nAnswer: 6, 2, 1\/2, -0.5, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -2225, -5920, -9615, -13310, -17005?\n\"Answer: -3695*u + 1470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-4)\/5*4\/8. Let m = 161 - 801\/5. What is the closest to o in m, -1\/4, -3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gi when two letters picked without replacement from ikiidggtitgigk?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}