{"text":"Question: Let u(r) = -r**2 + 313*r - 17998. Give u(70).\nAnswer: -988","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is (4 + (-14190700)\/80)\/((-1)\/4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 624 minutes after 3:33 AM?\nAnswer: 1:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -o**2 - 30*o + 10. Let m be r(-30). Suppose -216 = m*i - 34*i. Let y = 58 - 31. Calculate the greatest common factor of i and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -87 - -89 - (236\/10)\/((-36)\/30). Factor 7\/3*n**2 + y*n + 6.\nAnswer: (n + 9)*(7*n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = w**3 - 9*w**2 + w + 8. Let j(u) = -u + 31. Let r be j(22). What is i(r)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.43509868 - 0.43347. Round j to 5 decimal places.\nAnswer: 0.00163","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 60760084.\nAnswer: 2, 7, 11, 197273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -4\/5339 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -6 - -10. Let q be (-2)\/((-56)\/140 + (-8)\/(-10)) - -6. What is the closest to u in q, 1\/4, 0.2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -627 - -5?\nAnswer: -622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = 277*d**2 + 138*d**2 + 6 - 6*d - 416*d**2. Suppose -3*l + 14 = -4*t, 0*t - 4*t + l = 18. Calculate i(t).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:01 AM and 9:03 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -6197*r - 24782. What is h(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 47 + 4 + -10 + 21 + -24.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -62*h**2 - 9189*h - 1929. Give l(-148).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8\/18 + -4*(-49)\/(-252)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*n + n - 3*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 1, s: 4, q: 3}. What is prob of sequence lsll?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 165021 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + 20 = 4*j, 3*j = 3*h + 8*j - 25. Suppose h = -o + 3*o. Let y = 44 + -29. Sort 4, o, y.\nAnswer: o, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.1  (b) 97  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Product of 260768.291 and -0.3.\nAnswer: -78230.4873","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -78 - 327*d + 654*d - 330*d + 78.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u + 18 = 58. Let q be (12\/7)\/(u\/35). Suppose 0 = -r + 55 - 50. Solve r*v = -q - 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = 4*o**2 - 11*o. Let r be b(3). Suppose -t = r*t - 340. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 12\/21 - 460879284\/(-28). Suppose -3*q = 4*a + 2*q + u, -3*q = a + 4114985. What is a rounded to the nearest one hundred thousand?\nAnswer: -4100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -510*l**2 + 167*l - 169*l - 506*l**2 - 5*l**3 + 1017*l**2 + 390 as b*l**3 + h*l + y*l**2 + w and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a gram in milligrams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 21708190, 43416382, 65124574, 86832766, 108540958?\n\"Answer: 21708192*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g, 1 i, and 1 a when three letters picked without replacement from ggia.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -62 + 432\/7. What is the nearest to -2 in 0, -2\/5, j?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:58 AM and 10:44 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 32725637, 65451277, 98176917?\nAnswer: 130902557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 3233 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1578, 13458, 45864, 109110, 213510, 369378?\nAnswer: 587028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*c**4*i - c**4 - 191*c**3*i + c**2*i - 22*c**2 wrt c.\nAnswer: 48*c*i - 24*c - 1146*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = g - 3 - 1. Let z(r) = -4*r + g*r - r - 2*r. Let n(b) = b. What is z(n(p))?\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 412 - 10?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r\/r**(2\/5))**(-33\/5))**(3\/16))**(-1\/10) assuming r is positive.\nAnswer: r**(297\/4000)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 111220101 (base 3) to base 13.\nAnswer: 47c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 3*c**2 - c - 2. Suppose 3 = -2*y + 11. Let t(x) = x**2 - 1. Let j(d) = y*t(d) - r(d). Determine m so that j(m) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = 7*q + 38. Let g(o) = 20*o + 113. Let h(v) = 6*g(v) - 17*s(v). Let n be h(-11). What is the greatest common factor of 84 and n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(3*(sqrt(200) + sqrt(200) + (6*sqrt(200)*1)**2) - (0 + (sqrt(200) - (1 + 1 + sqrt(200))))**2).\nAnswer: -129576 - 360*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 226 and 70851?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-30)\/18)\/(110\/594)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -99050 = -17104*t + 17094*t. What is the thousands digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 219455?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -294 = -0*o - 14*o. Suppose -2*v + 3*v - 5*b = 65, -59 = -v - b. Calculate the remainder when v is divided by o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -d**3 + 2*d**2 + d + 2. Let o = 68 - 55. Suppose o*y + y - 42 = 0. Let t be p(y). Let l(b) = b**3 + 3*b**2 - 2*b + 1. What is l(t)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j = -5*g - 0*g + 2, 2*g - 3*j + 1 = 0. Suppose -24 - g = -5*w. Let l be 303\/w + 36\/(-60). What is the highest common divisor of l and 90?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-2)\/2)\/((-1)\/4). Let x be (-14)\/s*(-4)\/7. Suppose x*i + 0*i - 32 = 0. What is the remainder when 29 is divided by i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (190\/(-266))\/((-10)\/84)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -v**3 - 5*v**2 - 5*v + 10. Let y be n(-7). Let j = -96 + y. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*y + 0*y - y**2)*(-y + 2 - 2) + 112*y**3 - 687 + 687 to the form n*y**2 + x + w*y + f*y**3 and give f.\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 55 - 14?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = 72*u**2 - 504*u + 722. Calculate c(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by -78.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 85 + -40. Let n = o + -37. Let g(z) = 2*z**2 - 9*z + 2. Let s be g(6). Calculate the greatest common factor of n and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -21*j + 18*j + 54. Let l = -13 + j. Solve 4*n = -i + 6*i + 13, 0 = -l*n + 10 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - 11*b - 444 = -8*b, -3*d = 4*b - 632. Calculate the highest common factor of 24 and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1936417709 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -15, -4, 4, 4\/3, 2\/13?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -10668, -13456, -18104, -24612, -32980?\nAnswer: -43208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1662 - 2253 - 2722)*(-3*k**3 - 4*k**3 + 5*k**3).\nAnswer: 6626*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4475931?\nAnswer: 3, 1491977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -42 = y + 1463*b - 1462*b, 142 = 29*y - 5*b for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -22*a**5*f + 9*a**5 + a*f - 57*a + 2*f wrt a?\nAnswer: -440*a**3*f + 180*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ouoo. What is prob of sequence ou?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 at least 1\/115?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8.204483ml to litres.\nAnswer: 0.008204483","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/60 - 0 - (-30171)\/(-512640).\nAnswer: 1\/128","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33*m - 32*m = 3*x + 67, 4*m - 5*x - 254 = 0. What is the remainder when m is divided by 38?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -3\/6946 and -5?\nAnswer: 6946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + 0 + sqrt(1539) + -5 - ((sqrt(304) - 5*(-1 + sqrt(304) + sqrt(304))) + -5))**2.\nAnswer: -630*sqrt(19) + 38524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) be the third derivative of c**5\/30 + 681*c**2. Let d(p) = 2*p**2 + 13. What is d(v(s))?\nAnswer: 8*s**4 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -1495334100 rounded to the nearest one million?\nAnswer: -1495000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -4*z**2 - 91*z + 179. Let c be l(-23). Calculate the highest common factor of 72 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 677089 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2\/(-4)*-2 - -2. Let u(x) = -4*x - 4 - 3 - 10*x + 7*x. Let z(f) = -4*f - 4. Calculate q*u(h) - 5*z(h).\nAnswer: -h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 111730.\nAnswer: 2, 5, 11173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 236 minutes after 12:06 PM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (24\/10)\/(21\/(-70)). Let i be f\/(-18 - 3\/(-1)). Let t = i + -2\/5. Is 0 not equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 10 and 192412?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j = -3*q + 21, 3*q + j - 5 = 8. Let w(g) = 82*g + q*g**2 - 82*g. Let f(n) = -5*n. Calculate f(w(t)).\nAnswer: -25*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 1499759 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -2 - (-83 + 0) - (-57)\/19. Let q = w - 77. Let k(o) = 13*o + 28. What is the hundreds digit of k(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b**4\/13 - 4558*b**3\/13 - 41364*b**2\/13 + 31680*b = 0. Calculate b.\nAnswer: -15, 0, 6, 2288","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 37 and 6697?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -13.94 + -0.06. Let f = o + 13.992. What is f rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11308*r**2 + 2672*r**2 - 25656*r**2 - 37304*r**2.\nAnswer: -48980*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -r. Let s = 3 + -4. Let l(i) = 7*i**2 - 4*i. Let j(a) = s*l(a) + 4*d(a). Let b(x) = 29*x + 22*x - 83*x + 23*x. Give j(b(t)).\nAnswer: -567*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -712\/7 + 102. Let d = -4.4 - -0.4. Which is the nearest to -1?  (a) d  (b) m  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 8083840*x**3 - 5374506*x**2 wrt x.\nAnswer: 48503040","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = f. Let w(d) = 39622209*d - 2. Give l(w(r)).\nAnswer: 39622209*r - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 189 and 124299.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4935?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.045 minus 0.8137?\nAnswer: -0.8587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 114865 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1  (b) -16  (c) -10  (d) 1\/7  (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 66 + -65. What is the lowest common multiple of g and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*m + 1296*n - 8 = 1293*n, 2*n = 5*m - 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -24, -18, -8, 6, 24, 46, 72?\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l + d + 11 - 4 = 0, 3*l + 33 = 3*d. Let g be -3*l\/9 - (-6)\/3. Let z(x) = 15*x + 12. Is 24 a factor of z(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 93353691.2 to the nearest one hundred thousand.\nAnswer: 93400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express 2644*j**3 + 0*j**2 + 2*j**2 - 2642*j**3 - 9*j**2 + 2*j as m*j**2 + l*j + u + y*j**3 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 10*b**2 - 3*b - 2. Let n be q(-2). Let c = -314 + n. Let d = 475 + c. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = a + 32. What is p(-15)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 623010?\nAnswer: 2, 3, 5, 19, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3866?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -5*h - 2. Let s(r) = 21971*r - 4 + 21961*r - 43942*r. Determine 7*a(n) - 3*s(n).\nAnswer: -5*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2*15\/(-60)*-2*1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 4353 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: b\"What is the zth term of -202, -209, -220, -235, -254?\n\"Answer: -2*z**2 - z - 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 5 - (-5 + (-5 - -18))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2\/(-6) - 16435\/(-57). Suppose 5*f = -f + g. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(-6*(sqrt(11) + -1) - sqrt(11))**2 + 1 + -2 + sqrt(33)\/sqrt(3).\nAnswer: -503*sqrt(11) + 3449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = s. Determine i(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 1\/4 - (-6)\/8. Let i be -4 + c + 0 + 56. Find the second derivative of -5*p - 19*p**4 + i*p**4 - 15*p**4 + 0*p wrt p.\nAnswer: 228*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = a**3 - 22*a**2 + 31*a + 156. Determine u(20).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 939758830?\nAnswer: 2, 5, 5849, 16067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(26)\/(sqrt(8)\/(sqrt(4) + sqrt(16)\/sqrt(4) + sqrt(4)))*-3)**2.\nAnswer: 1053","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t\/(t*t\/t**(-25)))\/((t\/(t\/(t\/t**(-2\/39))))\/t))\/(t**(-7)\/t*t\/t**24))**(1\/5) assuming t is positive.\nAnswer: t**(193\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -0.1 - 2285939239\nAnswer: -2285939239.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*p + 5*l - 26, 0 = 174*p - 170*p - 6*l - 7*l + 44 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.0087 + 0.0831. Let q = j - -0.3082. Which is the second smallest value?  (a) -4  (b) q  (c) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 52902535?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2\/5*(18\/9 + 3). Suppose 0 = 3*o + 2*v + 1 + 3, 11 = -w*o - 3*v. Suppose 0 = 2*j + 2*j - 5*m - 51, -4*j - o*m + 30 = 0. Does 9 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23 = 8*o - 9 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -14 + 17. Suppose -s = x + 3*x - 2736, -v*s - 3437 = -5*x. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 2*m = 23, -6*t + 43 = -4*t - 3*m. Let z = t - 7. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4119476.\nAnswer: 2, 173, 5953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 69 is divided by 55.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 1337, 2673, 4009, 5345, 6681?\n\"Answer: 1336*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s - 4 = -4*b, -4*b + 6*s = 3*s - 2. Let f(u) = -u**b - 34*u**2 + 15*u**2. Let r(z) = -4*z. Calculate r(f(a)).\nAnswer: 80*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d*d**(-3))\/d)\/d)\/d**(-4\/3) assuming d is positive.\nAnswer: d**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = y**2 - 7*y + 7. Let c be s(6). Let k = -6 + 12. Let n(j) = j**2 - 5*j + 2. Let v be n(5). Solve -4*z + 5*t = -7, -v*z - t + c = -k for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1 - -4*12\/(-32). Which is the second biggest value?  (a) 3\/4  (b) x  (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - 862 = -z + 3*z, 218 = m + 2*z. What is the greatest common divisor of m and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4934 is divided by 1637?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 833089 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) be the third derivative of -u**6\/120 - 13*u**5\/60 + u**4\/2 - 4*u**3\/3 + 9*u**2. Let z be y(-14). Let v = 20 - z. Solve 2 = t - v*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2259770999?\nAnswer: 23, 98250913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 68670202.\nAnswer: 2, 29, 1183969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-13356)\/5088)\/((-21)\/6).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 349.2444 years?\nAnswer: 0.3492444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 219797866.\nAnswer: 2, 109898933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 741603620 divided by -4?\nAnswer: -185400905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) be the third derivative of 0*b - 7\/6*b**3 - 3\/8*b**4 + 0 + 11*b**2. Let l = -5 - -2. Let f(m) = 4*m + 3. Determine l*t(w) - 7*f(w).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -3*j**3 - 23*j**2 + 25*j + 212. Determine c(-8).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/(-4)*(-12)\/(-60)*20.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1\/2*(-2 - 2). Let a(f) = -12*f + 42. Let t be a(7). What is the common denominator of w\/t*3\/(-2) and 87\/68?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -40 + 4. Let z = 390 - 427. Let o = q - z. Are 8 and o non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 2*a. Let q be ((-24)\/2)\/(18\/(-45)). Let y be 265\/q + 3\/18. Let g(r) = 3 + 6 - 10*r - y. What is g(p(j))?\nAnswer: -20*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or 261\/4990256?\nAnswer: 261\/4990256","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -2*k + 1. Let c be t(2). What is the closest to 1\/2 in -4, -0.4, c?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10 - 10 = -4*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/2?  (a) 0.01  (b) 2\/9  (c) -3  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 131355 and 69639?\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 33 + -27. Suppose 2*y - t - 3 = 5, -5*y - t + a = 0. Let h(b) = 40*b + 9. List the prime factors of h(y).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 6, 2, 5, 50643 in ascending order.\nAnswer: 2, 3, 5, 6, 50643","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -63 + 64. Is y smaller than -2\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 0\/(36\/234*-13). Solve 8*g - 105 + 145 = l for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1754)\/3508*18\/1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 + 2 - (24 + -17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -6*((-3)\/(-2))\/((-9)\/195). Let h be 1\/3 + 91\/i. Which is the smallest value?  (a) -22  (b) -0.4  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 699 minutes after 3:14 PM?\nAnswer: 2:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -33352.82 rounded to the nearest ten?\nAnswer: -33350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/((-18)\/(-12)))\/1.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -159, -96, 225, 924, 2121, 3936?\n\"Answer: 20*i**3 + 9*i**2 - 104*i - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p = -3*w + 3*p + 569, -2*w - 2*p + 366 = 0. List the prime factors of w.\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -2707614, -2707615, -2707618, -2707623, -2707630, -2707639?\n\"Answer: -s**2 + 2*s - 2707615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-12)\/(-14))\/(((-12735)\/7665)\/(-283))?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + 346 = -2*h, 3*h - 9 + 283 = 4*i. Solve -10*j = -24*j + i for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(-20)\/t*t)\/t)**(-2\/5) assuming t is positive.\nAnswer: t**(42\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.1, 0.47, 0?\nAnswer: 0.47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 95?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 136 a factor of 189752?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 31001 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.01437 to four dps.\nAnswer: -0.0144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express -10 - 5 - 8 + 20 - 50*t in the form w*t + g and give w.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -2253210 - 2?\nAnswer: -2253212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 54912?\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = 3*w**2. Let c(t) = 2*t**2 + 112*t. Calculate c(h(m)).\nAnswer: 18*m**4 + 336*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 12 and 123.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 443 - 257 = 33*p + 252. Let u(s) = s - 1. Let m(o) = 4 - 3*o - o - 2*o - o. Give p*m(d) - 10*u(d).\nAnswer: 4*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -i**2 - 12*i - 27. Let y be z(-8). Suppose 0 = y*j + 2*j + 364. Let h = -49 - j. Solve -h*f + 9 = -0*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 25103121 (base 8) to base 13.\nAnswer: 11bc475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 86 + -131. Let t = -45.39 - f. Let r = t - -0.6. Round r to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -254*-0.1.\nAnswer: 25.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*g - 9*g = 2*g. Let f be -1*g\/(-3) - 2570*-100. What is f rounded to the nearest 10000?\nAnswer: 260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -170 - -1188\/7. Put -4\/7, q, 0.5, -0.28 in ascending order.\nAnswer: -4\/7, q, -0.28, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -9*x**2 - 16*x - 327 - 322 - 322 + 969 as a + q*x + t*x**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -50*p**2. Let a(c) be the third derivative of -2 + 0*c**3 + 1\/8*c**4 + 0*c - 60*c**2. Determine b(a(q)).\nAnswer: -450*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = 2*z**2 - 16*z - 19. Let k(q) = -3*q - 4. Calculate 29*k(h) - 6*p(h).\nAnswer: -12*h**2 + 9*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 a factor of 673?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 43998946 to the power of 1\/2, to the nearest integer?\nAnswer: 6633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (-11)\/(-33)*1*2*6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 940630.86ms in days?\nAnswer: 0.01088693125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1708, 310, -7234, -23996, -53048, -97462?\nAnswer: -160310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 38 + -19 - 0 - (-14 + 7)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6*m**3 + 3 + 25293*m + m**2 + 16*m**4 - 12650*m - 12640*m to the form r*m**3 + j*m**2 + s*m**4 + z + p*m and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o - 13*u + 9*u + 2642 = 0, -2*o = -2*u - 2672. Calculate the highest common divisor of o and 3025.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*m - 2*m - 12 = 0. Suppose 5*t = 5*j + 7 + 8, t - 3 = m*j. Solve x + x = j for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine j, given that 2*j**2\/5 + 646*j\/5 - 3480 = 0.\nAnswer: -348, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*p**2 - 1 + 1 + (0 + 18 + 5)*(-9*p + 9*p - 8*p**2) + 4*p**2 + 3*p**2 + 4*p**2)*(2 + p**3 - 2 + 1).\nAnswer: -171*p**5 - 171*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -245 - -248. Let r(n) = -1 - 3*n**d - 9 - 13*n + 2*n**3 + 8 - 14*n**2. Determine r(-13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 54211, -120, 15, 1 in decreasing order.\nAnswer: 54211, 15, 1, -120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.87 + 9.87. Which is the third biggest value?  (a) -4  (b) -2\/11  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from pppppwwppwp. Give prob of picking 2 p and 1 w.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -10246896 divided by 132?\nAnswer: -77628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 5) to base 15\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/5 in -0.3, 6\/19, -1, -178, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 924428861 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 209 and 23221?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 3300 divided by 20?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4 - 1. Let b = 15 + w. What is the units digit of b\/2 - (1 - -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = 2*r**3 + 4*r**2 + 11*r - 32. Let q be f(-19). Is 1*7\/((-35)\/q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 30*f - 3. Let y(j) = -10*j + 1. Let m(g) = 3*u(g) + 8*y(g). Determine m(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3\/14 - -27\/70. Suppose -5*y = -3 - 12. Suppose 0 = i - c + 2, -i + y*c - 3 = 5. Is m != i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2242 and 238714?\nAnswer: 4535566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -0.07, -4, -15, -1, -1\/8?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -474938394 divided by 2339598?\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(72))\/((sqrt(484) - -2*sqrt(484)) + sqrt(4)) + -5.\nAnswer: -5 - 3*sqrt(2)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 25 + -8. Let b = -45 - -52. Calculate the least common multiple of b and w.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1098145017?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2101697 and 9015?\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8 - ((4 - 5) + 3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m = -3*w + 5, 4*w - m = -0*w + 16. Solve -3 = w*c + 9 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 18791 and 133?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (1 - (-3)\/(-2)) + 1. Let g = 0.5 + 21.5. Let m = g - 22.1. Which is the closest to 0?  (a) d  (b) m  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zvx when three letters picked without replacement from vxrizmz?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -242443*d*o + 225*o - 171 wrt d?\nAnswer: -242443*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (15 - (25 - 34)) + -22?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Express (7 + 17 - 2)*(-3*o - 4*o + 5*o) as k*o + y and give k.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 1 - 2)*(-9 - 1 + 4)*(1506*p**2 - 719*p**2 - 468*p**2).\nAnswer: -3828*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (39 - 20) + -24 + (139 - (-3 + 4)) - 8.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.4, 0, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2 or -32\/17?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/l**(2\/13))**(-3\/22) assuming l is positive.\nAnswer: l**(-3\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 5, 2, -4, 26 in decreasing order.\nAnswer: 26, 5, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express -23*q**3 + 12 - 23 + 10 - 78*q**2 - q + 75*q**2 + 12 as t*q**2 + v*q**3 + w + s*q and give v.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -q. Let w(j) = j - 27. Let o be w(0). Let y = 31 + o. Let k(n) = -2*n. Determine y*c(l) - k(l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8282 = 2195*k - 1993*k for k.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10 + -20012221120122120?\nAnswer: -20012221120122110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 91855 (base 12) in base 14?\nAnswer: 4d129","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 10\/4*(0 + 2). Let o be 17\/f - 6\/(-10). Solve o*r = -5*w + 31, 3*r - 7*w = -3*w for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -58807*q + 49388 wrt q.\nAnswer: -58807","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -7*i - 4. Suppose 3*n - 2 = -11, 4 = -4*u + 4*n. What is h(u)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) be the second derivative of -1\/40*m**5 + 3*m + 1\/48*m**4 + 1\/120*m**6 + 0*m**2 + 0 + 0*m**3. Factor r(t).\nAnswer: t**2*(t - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 202*o**2. Let l(f) = -7*f + 19. Calculate l(j(z)).\nAnswer: -1414*z**2 + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.03 in 6, -2\/17, 1, 2\/11?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 69\/260 and -161\/234.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -2  (b) -3  (c) 1  (d) -6  (e) 11  (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*-3*sqrt(90)\/sqrt(2)*6)\/(-1*(sqrt(144) - sqrt(144)*2*5)).\nAnswer: -3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.07 - 0.17. Let w = -0.1 + 1.1. Let a = 3 - w. Are a and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (8\/6 - 2)\/((-44)\/(-66))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -31\/72 and (22908\/(-756))\/23 + (-2)\/(-7).\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*x**4 - 6236*x**3 + 2*x**2 + 2*x + 0*x**4 + 5317*x**3 in the form n*x**4 + f*x**2 + t*x + z + r*x**3 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 13\/15 and -62\/245.\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2946693825 divided by 1.\nAnswer: 2946693825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -32 + 36 = 4*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z**(4\/5)*z*z*z\/((z\/(z**(2\/23)*z*z))\/z))\/(z\/(z**(-8)\/z)*z**(-12\/11)*z) assuming z is positive.\nAnswer: z**(-3823\/1265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) be the first derivative of 0*v**3 + 3\/5*v**5 - 119\/2*v**2 + 13\/4*v**4 + 0*v + 153. Find the second derivative of s(g) wrt g.\nAnswer: 36*g**2 + 78*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -8*n - 8. Let g be m(-2). Solve 2*b + g = -2*b + s, -4*b + 3*s - 16 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 2209082642 to the power of 1\/4, to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -43 + 38 + (0 - -13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 24c68 (base 13) to base 12.\nAnswer: 33448","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(-2\/25)*v)\/v*(v*v**(-5)*v)\/v*(v\/v**(-9))\/(v*v**(-2)))**(-15\/2) assuming v is positive.\nAnswer: v**(-519\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 189495.1kg in grams?\nAnswer: 189495100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1133302 - -11?\nAnswer: -1133231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.036 + 0.964. Let k = -1 + 3. Which is the nearest to -0.1?  (a) k  (b) -0.1  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -7, 2, -5, -4 in descending order.\nAnswer: 2, -4, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 50357 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 15 + -10. Suppose -h*l - 20 = -5*u, 5*u - 3*u = -5*l - 6. Solve -5*t + u = -3*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 45908571.9 rounded to the nearest one thousand?\nAnswer: 45909000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -292327 divided by -1?\nAnswer: 292327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -14932 (base 13) in base 15?\nAnswer: -b7e1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 8852923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Determine k, given that -k**2\/2 + 949955*k + 1899911\/2 = 0.\nAnswer: -1, 1899911","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2 + 3 + 6 + 2. Suppose -i = -w + 4. What is the remainder when w is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y and 1 n when two letters picked without replacement from {y: 2, n: 4, z: 5}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 25 and 409054775.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 22640 - 41?\nAnswer: 22566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -14 + 7. Let z(r) = -r + 7. Suppose 0 = 10*t + 7 - 27. Let m be z(t). What is the second biggest value in g, m, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -d**3 - 7*d**2 + 11*d - 18. Let z be l(-9). What is the highest common divisor of 5 and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2\/7, -2\/5, 9\/8, 2?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10929962 is divided by 1561412.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 402930 = 59*o + 12*o + 28*o. List the prime factors of o.\nAnswer: 2, 5, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -5*n**3 + 460*n**2 + 2938*n + 202. Give h(98).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -93 + 138. What are the prime factors of v?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -13*h**2 - 19*h**2 + 3*h - 4 - 14*h**2 + 47*h**2. Let n be (18\/15)\/((-2)\/(-5)). What is j(n)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.0342 - 0.0941. Let p = -0.06 - s. Round p to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -806 (base 12) in base 9?\nAnswer: -1526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34*i = -38*i - 2*g + 74, 4*i - 69 = -g. Suppose -m - 3*m + 12 = 4*j, -3*j - m = -11. Calculate the greatest common factor of j and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -12 + 22. Calculate the least common multiple of t and 3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 = -7*q + 11 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 13, v: 5}. What is prob of picking 3 v?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -248 + 1432. List the prime factors of n.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w - 20 = -9*w. Factor 15*d**2 + 2*d**w - 3*d**3 + 5*d**3 - 19*d**2.\nAnswer: 2*d**2*(d - 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 17 and 20060.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = y - 2. Suppose -l + 5 = 0, u + 3*l = l + 13. Suppose -4 = -u*x + x. Solve 5*p = -d + 5, 0*p = -2*p - x*d + y for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 4\/(4\/(-6)*-3). Suppose v*y + 3*y = -20. Let a(u) = -u**3 - 5*u**2 - 5*u + 3. Determine a(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -25\/13169412 and 5\/13176?\nAnswer: 26338824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jcrrnrnureucujn. Give prob of picking 1 r, 1 u, and 2 n.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -32*v - 17. Let m(x) = 11*x + 6. Let k(j) = -17*m(j) - 6*r(j). Give k(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 17 and 0.010255.\nAnswer: 0.174335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 13 + -1 + (40 + -18 - 6 - -55) + -12?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from igaaggadgii. Give prob of sequence aia.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -169064 divided by -169064?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + 2*(5*((1 + sqrt(17) - sqrt(17) - sqrt(17))*-2 - (3 + sqrt(2448)))*4)**2.\nAnswer: 80000*sqrt(17) + 1379995","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 183, 188, 193?\nAnswer: 198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r = 28 + 72. What is the highest common factor of 50 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -28*f - 16. Let r(u) = 6*u + 3. Determine -2*d(g) - 11*r(g).\nAnswer: -10*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 59*d**2 + 1117*d - 73. Let w be r(-19). Factor 3\/7*m + 1\/7*m**w - 3\/7*m**2 - 1\/7.\nAnswer: (m - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2111202 + 0?\nAnswer: -2111202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6336688*n**3 - 39*n**4 - 6336688*n**3 - 2 + n**2)*(-6 + 4 + 0).\nAnswer: 78*n**4 - 2*n**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -p - 0*p + 38. Let w = -27 + p. Suppose 6 = -j - 2*x, -5*x - 1 = 5*j + 4. What is the remainder when w is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -5*z + 49. Suppose 0 = 12*h + 41 - 161. Let b be n(h). What is the biggest value in b, -4\/7, 0.2, -25?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5185.\nAnswer: 5, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 30.14 + -31. Let x = 0.26 + p. Which is greater: x or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -7*s. Let c(g) = -52718*g + 16. Determine c(x(k)).\nAnswer: 369026*k + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -142807 divided by 142807.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = s**3 + 12*s**2 + s - 15. Let p be j(-11). Is p + -12 - (-4)\/(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 53150704 to the power of 1\/3, to the nearest integer?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 74329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = 7527*g**2 + 2*g. Let a(u) = 4*u. Calculate p(a(b)).\nAnswer: 120432*b**2 + 8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p = 3*n + 183 + 210, -n - 121 = -5*p. Is 1\/(132\/n - -1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -64*v**3 - 426*v**3 + 23*v**3 + 29*v**2 - 29*v**2.\nAnswer: -467*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -1483, -1485, -1503, -1549, -1635, -1773, -1975, -2253?\n\"Answer: -2*x**3 + 4*x**2 - 1485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1988?\nAnswer: 2, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from tttttttttttqtqqttqt.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -134494.93*-0.1.\nAnswer: 13449.493","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (1 - 12) + -7 + 10 - -3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u = u + k - 116, u + 5*k = 20. What is the smallest common multiple of u and 44?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.6 or -1.388?\nAnswer: -1.388","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -11*(-14)\/847 + 21014\/(-990). Let d = 103\/5 + m. Which is the biggest value?  (a) 1\/8  (b) 0  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -283, -1148, -2589, -4606, -7199, -10368?\nAnswer: -14113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 228300 to the power of 1\/2, to the nearest integer?\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*h**3 - 46\/3*h**2 - 56\/3*h + 8.\nAnswer: -2*(h + 2)*(h + 6)*(3*h - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -d**2 - 24*d - 61. Is u(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.014?  (a) 1.5  (b) -5  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -16 - -17. Let z = 11 + -7. Which is the nearest to i?  (a) 5  (b) z  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -374 * 156089.8.\nAnswer: -58377585.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*b = 73*x - 64*x + 14, 2*b + 32 = -2*x - 2*b for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (26\/65)\/(2 + (-21)\/15). Which is smaller: y or -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 73612 to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2267*m + 65 = -2254*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c - 9 = -2*s + 3*s, 2 = 2*c. Let a = -3 - s. Let l be 42\/4 + (-5)\/a. Solve -u + 1 = 3*m, -5*m = -5*u - l*m + 5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.6394 * -190.\nAnswer: -121.486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 446 minutes before 8:12 PM?\nAnswer: 12:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 813 divided by -187660.\nAnswer: -813\/187660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -16*v - 9. Determine d(-11).\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 25225713, 50451432, 75677151, 100902870, 126128589, 151354308?\nAnswer: 176580027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -10*a. Let o(x) = 22*x**2 - 7*x**2 - 10*x**2 - 6*x**2. What is k(o(r))?\nAnswer: 10*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -12862*f**4 - 8158*f**3 + 3*f**2 + 1227577*f + 4 wrt f.\nAnswer: -154344*f**2 - 48948*f + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -20  (b) 5  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -p**2 + 3*p. Let d be j(4). Let u = 38.2 - 38. Which is the third smallest value?  (a) d  (b) u  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2668476 - 136096843\/51. Let m = z + 269\/3. Which is the smallest value?  (a) 0.5  (b) -12  (c) 0  (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1996 + -1994. Solve 22 = -5*x - 3*t + o*t, 4*x - 2*t = -12 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 13 - ((-18 - 7) + 9 + 5)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 2 i when three letters picked without replacement from pnzip.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 708634, 1417220, 2125810, 2834398, 3542978, 4251544, 4960090?\n\"Answer: -h**3 + 8*h**2 + 708569*h + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 50\/(-75)*-1*2\/(-8). What is the closest to -2\/7 in r, -2\/61, 2\/11?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 102 minutes after 12:37 AM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4039658937?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 7*w**2 + 7*w. Let b be u(-2). Suppose -b*l + 8*l - 54 = 0. Which is smaller: -80\/9 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -50 + 51 + (0 - (1 - 1))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 111 + -62. Suppose 6 = 4*u + a, -5*u - 3*a + 20 = -8*a. Suppose 2*q - 24 = -5*n, -2*n + 2 = -u. Calculate the greatest common factor of q and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 2015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 37 - 1 = -3*m. Calculate the remainder when 85 is divided by 22\/(4\/(m\/(-3))).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 6) to base 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = 7039*q**3 - 5*q**2 + 5*q - 1. Let u be z(1). What is the tens digit of u\/24*2*2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*h**4 + 2*h**4 + 0*h**4 - h**2 + h**4 + h**2 + (15*h**2 - 13*h**2 + 14*h**2)*(3 + h**2 - 3).\nAnswer: 24*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5291, 5033, 4791, 4571, 4379, 4221, 4103, 4031?\nAnswer: 4011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -2607, -5383, -8155, -10923, -13687, -16447, -19203?\n\"Answer: 2*g**2 - 2782*g + 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -1001*a**3 - a**2 - a - 1. Let i be g(-1). Round i to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1733499?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-136)\/(-102)*(-2)\/((-4)\/(-3)). Let j be (1*a)\/((-732)\/363 - -2). Let b = 8 + 3. Calculate the greatest common factor of b and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 83 * 0.45.\nAnswer: 37.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 376 minutes after 5:40 PM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 173124 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -384, -379, -388, -417, -472, -559, -684?\nAnswer: -853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 150, -941, -3330, -7071, -12218, -18825, -26946?\nAnswer: -36635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 2, d: 1, t: 2}. What is prob of picking 2 t and 1 m?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 13 - -1163101?\nAnswer: 1163114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*i - 12, -1409 = 4*f - 2*i - 3683. Calculate the highest common divisor of 114 and f.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 at least 2\/265?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = 0*a**2 + 3*a + a**2 - 1 + 0*a + 0*a. Let m be r(-4). Calculate the greatest common factor of m and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -222, 2, -22, -7.\nAnswer: -222, -22, -7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(286) - (sqrt(286)*1 - sqrt(286)) - sqrt(286))\/sqrt(11))\/(sqrt(8)\/sqrt(4)*-5 - sqrt(2)) + (((sqrt(78)*-3)\/sqrt(6) + -1)*-5)**2.\nAnswer: 150*sqrt(13) + 2950","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 53 by 1.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*j - 3 + 3)*(-1 - 2 + 6) + (-4 - 2 + 4)*(2 + 3 - 10)*(6*j + 2*j - 2*j).\nAnswer: 66*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a kilogram in grams?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1029170, 8233351, 27787548, 65866769, 128646022?\nAnswer: 222300315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(0 + (sqrt(17) - -2*(sqrt(17) + sqrt(425) + sqrt(17))) + -2*(-2*sqrt(2448) + sqrt(2448))))**2*3.\nAnswer: 2792556","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 292569126?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -l**3 + l**2 - 3 + 4*l**3 + 5*l**3 + l + 4. Is w(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (100\/(-30) - -3)*(46 + -4).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 14 + -1 - ((31 - (4 + 5)) + -12).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 374 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = 2*p**2 + 15*p + 5. Let q be y(-10). Let i be (-4)\/(-22) - (-815)\/q. Factor 3*o + i*o**2 - 5 - 2*o + 3.\nAnswer: (3*o - 1)*(5*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.5, 0.36, 2\/15, -22, -7.6, 2 in descending order.\nAnswer: 2, 0.36, 2\/15, -0.5, -7.6, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = n**2 - 12*n + 22. Let o be m(17). Let r = -128 + o. Let i = r - -23. Solve -5*h + 0*z - 2*z + 25 = 0, 0 = -4*h - i*z + 20 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12\/(((-57)\/(-38))\/(3\/8)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*o - 2*o + 4. Let p(g) = -9*g. Let h = 2 - 3. Calculate the smallest common multiple of o and p(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-108)\/(-21))\/(2\/14)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = l**2 + 696*l + 107787. Calculate d(-463).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -69\/65 and 53\/55?\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) be the second derivative of -15*m**3 + m**2\/2 + 3*m. Is x(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -145*t**2*z**3 + 45536*t**2 - 5675*t*z**3 - 2*t*z**2 - t*z - 12*t + 23*z wrt t?\nAnswer: -290*z**3 + 91072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.1*76.308.\nAnswer: -7.6308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*a - 5*g - 560, -a + 130 = 2*g + 3. Suppose h + 4*h = -a. What are the prime factors of 220\/18 - (-6)\/h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13151560177 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (6 + 76782\/(-15))*-30 + 6. Suppose 2*r - 48433 = -u, 5*u + r - k - 88793 = 0. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3992227 to the power of 1\/4, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -y**3 + 8*y**2 + 4*y - 2. Determine u(8).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 5*y**2 - 6*y + 5. Let o be w(-3). Let a be (77\/14)\/(-1 - (-69)\/o). What is the highest common factor of a and 68?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 131772387 and -20763?\nAnswer: 131793150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/9, 17, 4\/13, 1\/2, -12, 0.1.\nAnswer: -12, -1\/9, 0.1, 4\/13, 1\/2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -g = 2*g + 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence elb when three letters picked without replacement from iibyiiilltlblebi?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x - 106 = 4*n, -4*x - 598 = x + 3*n. Let h = x - -313. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 6 - 1. Which is smaller: r or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -488398 greater than -488401?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 392 is divided by 344?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -16 - -983c?\nAnswer: 9826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 divided by -2040799?\nAnswer: 4\/2040799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -4 + -60?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from {k: 1, d: 1, u: 2, a: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -352 + 389 + (-1 - 37)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*u - l - 33, 2*l = 4*u - 3*l - 55. Let t = 96 + u. List the prime factors of t.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (0 + sqrt(325)*-4*3)**2.\nAnswer: 46799","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-10)\/(-4))\/((-1)\/2). Let q(u) = -6*u**2 + 28*u + 4. Let f(x) = 7*x**2 - 29*x - 5. Determine n*q(j) - 4*f(j).\nAnswer: 2*j**2 - 24*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -2 + 3\/3 + 2. Let t(q) = -8*q - 1. Let v be t(-1). Solve 3*s - u = -v for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1156067387 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 1084, 1053, 1002, 931, 840?\n\"Answer: -10*p**2 - p + 1095","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 8 in 0.12, 24\/5, -1\/8?\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -596?  (a) 3  (b) -0.21  (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 2408 = 2409?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 825 - 401. Does 106 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 292345 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express 255*y - 70*y + 501 - 252 - 251 as i*y + u and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*a - 2 + 2)*(-3 + 0 + 2) + 0*a - 2*a + 5*a + (10 + 6 - 5)*(-3*a + 4*a - 3*a) - 6*a + 2*a + 3*a.\nAnswer: -22*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find c, given that -c**5\/7 + 180*c**4\/7 - 8277*c**3\/7 + 15842*c**2\/7 = 0.\nAnswer: 0, 2, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -204 + -13001220?\nAnswer: -13001424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 83 + -150. Let t = w + 67.27. What is t rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 3 + -15136?\nAnswer: -15133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c*c*c**(-1\/2))\/c**(-5))**(2\/99)*(c**0)**38\/(c**(2\/5))**(-28) assuming c is positive.\nAnswer: c**(5609\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, 2, -441 in decreasing order.\nAnswer: 6, 2, -441","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -580 = -8*l - 12*l. Suppose -l*a + 35800000 = -25*a. Round a to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 189557.\nAnswer: 131, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.9?  (a) -2  (b) 0  (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000694 rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 3\/10289, -87, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 73 - (-135)\/(-165)*11. Solve g*d - 60 = 4*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -18 - -53\/3. Let s = -4.431 + 3.14. Let r = s + -0.709. What is the smallest value in 0.2, d, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -2*o**3 - 7*o**2 - 60*o - 305. Let n be c(-5). Let f = 33 - -191. Calculate the greatest common divisor of n and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -13*d**2 + 709*d + 5116. What is w(61)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = o**2 + o - 1. Let x = 141 - 156. Let v(k) = 12*k**3 + 5*k**2 + 15*k - 5. Let z(y) = x*r(y) + 3*v(y). Find the second derivative of z(b) wrt b.\nAnswer: 216*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (420\/25)\/4 + 1\/(-5). Suppose 40 = -d + 4*t, -5*d + 2*t - 38 = -h*d. What is the common denominator of d and -52\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*v = 7*v + t - 44, 3*v - 171 = 144*t for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 916689?\nAnswer: 3, 305563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) be the second derivative of -6*c**4 - 20*c**3 - 25*c**2 + 58*c. Determine x, given that j(x) = 0.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) be the second derivative of v**4\/12 + 5*v**3\/3 - 4*v**2 - 91*v - 83. Let c(a) = -11*a**2 + a + 1. Let z be c(-1). Determine b(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 247 a factor of 12849434?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -r**3 - 7*r**2 + 1. Suppose -z = 5*g - 20, 3*g - 8 - 4 = z. Suppose -3*i - 27 = 3*v, -4*i + g*v - 9*v = 38. Determine c(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 12604*c - 230. Let t(o) = 222*o - 4. Let r(i) = 2*a(i) - 115*t(i). Let z(k) = -3*k**2. Calculate z(r(w)).\nAnswer: -311052*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -245 + 1713\/7. Suppose 5*z = 5*t - 55, 0*t + t - 35 = 4*z. Let o = z + 57\/7. Put u, o, -2\/21 in decreasing order.\nAnswer: o, -2\/21, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from ulllueuloeeeuo.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wgwwwhhhgyyhhwyhwy. Give prob of picking 1 h and 1 g.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00178137276 to six decimal places.\nAnswer: -0.001781","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1394 rounded to two decimal places?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = 4*y. Let t(u) = 1720*u. Determine g(t(q)).\nAnswer: 6880*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 125, 126, 123, 116, 105, 90?\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 5747\/15 + -1126\/3. Factor 36\/5*d + 12\/5 + g*d**2 + 18\/5*d**3 + 3\/5*d**4.\nAnswer: 3*(d + 1)**2*(d + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -88, -85, -72, -43, 8, 87, 200, 353?\nAnswer: 552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3054 + 558 = 258*n for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(180))**2 + 5 - (sqrt(50)\/(sqrt(20)\/sqrt(2)) + sqrt(5) - sqrt(5)).\nAnswer: -sqrt(5) + 185","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5.82 + -5.8198588. What is v rounded to five decimal places?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000047757 to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (232\/464)\/(2\/(-196)) + 4?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(sqrt(448) + -3*sqrt(448) + 0 + sqrt(448) + sqrt(448)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) be the second derivative of -v**4\/12 - 5*v**3\/6 + 3*v**2\/2 + 2*v. Determine n(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 65 - 5?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.04?  (a) -2  (b) 1\/25  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -3554 (base 7) to base 10\nAnswer: -1313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -6061 (base 8) to base 10.\nAnswer: -3121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2982?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t = -4*z + 2235, 0 = 5*z + 6*t - 2*t - 2780. Does 26 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15 (base 6) in base 16?\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2191*u + 636*u**2 - 2191*u to the form t + y*u**2 + m*u and give y.\nAnswer: 636","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 32122 or 32046?\nAnswer: 32046","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -15*u + 23. Let f(h) = 29*h - 46. Calculate -4*f(k) - 9*n(k).\nAnswer: 19*k - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5449, 3, -4, -2.\nAnswer: -5449, -4, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand -v**5 - 5*v**5 + v**5 + v**2 - v**2 + v**5 + (-65*v**4 + 65*v**4 - v**5)*(0 - 1 + 0).\nAnswer: -3*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*j - 27 + 7, -4*w + j - 12 = 0. Is 14 a factor of (-50)\/w - (3 + -6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8*-87.686\nAnswer: -701.488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6\/(-21)*(-42)\/54.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 168181133 to the nearest integer?\nAnswer: 12968","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -47, -92, -137, -182?\nAnswer: -227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (4\/(32\/6))\/(9\/(-36)). Let j(v) = 27*v**3 - 5*v**2 + 2*v + 11. Let m(q) = -10*q**3 + 2*q**2 - q - 4. Let t(f) = n*j(f) - 8*m(f). Give t(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) 0.4  (b) -1  (c) 1.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 4436063527 to the power of 1\/2, to the nearest integer?\nAnswer: 66604","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -1, -10, 15, -4, 3, 7 in ascending order.\nAnswer: -10, -4, -2, -1, 3, 7, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -718 + 528 = -19*x for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8532*w + 5*u = 8528*w + 76, -4*w + 76 = 29*u for w.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6\/2 - (-55)\/(-25)*(-231)\/(-154)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 182 + 1484 = 7*l. Calculate the remainder when l is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:04 PM and 4:36 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 102321221230 (base 4) in base 10?\nAnswer: 4954732","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*z - 300 + 272 = 0. Let c be (60\/(-280))\/(z\/1701*6). Let 135\/8*d**3 + 0 + 12*d**2 - c*d**4 + 3\/2*d = 0. Calculate d.\nAnswer: -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -159*p. Let a(q) = -q**2 + 3*q + 2. Let f(v) = -8*v**2 + 21*v + 14. Let x(d) = -7*a(d) + f(d). Determine l(x(b)).\nAnswer: 159*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.42 or -43765.2?\nAnswer: 0.42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -51 + 36. Let u = r - -18. Suppose u*a = a. Solve 3*o - 5*k = a, -o + 0*o = -4*k - 7 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7*25\/(30800\/(-32)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -2*c + 61. Let b(i) = i - 60. Let n(g) = 2*b(g) + 3*l(g). Is n(15) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (13452\/380 - (-6)\/(-15)) + 1?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = 15*n - 37. Let o(s) be the first derivative of 0*s + 1\/2*s**n - 5. Let v(x) = 8*x**2. Give v(o(z)).\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Product of -31 and 0.227.\nAnswer: -7.037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + ((sqrt(209) + -4*2*sqrt(209))\/(sqrt(1584)*1 + sqrt(11)) - ((-1 + sqrt(1216) + -2)**2 + 4)).\nAnswer: -1231 + 617*sqrt(19)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*v**3 + 78280*v**2 - 2032745*v + 13207350.\nAnswer: -5*(v - 15630)*(v - 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (203\/87)\/(1\/(-3)). Sort 2, -12, t.\nAnswer: -12, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 213 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 334 + -89. Let i = s + -46. Let l = i - 198.9999917. Round l to 6 dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = w**3 - 40*w**2 + 38*w + 43. Determine f(39).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -2591, -2509, -2373, -2183, -1939, -1641, -1289?\n\"Answer: 27*l**2 + l - 2619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 127769.\nAnswer: 67, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 27\/5 of a kilogram?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + 2*o = -5. Let k = o + -6. Is -1*(k*37)\/1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -5  (b) 4  (c) 1  (d) 18  (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3741, 15366, 34739, 61860, 96729?\nAnswer: 139346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 83766 to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 655 and 75?\nAnswer: 9825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 2\/5, -1, -8, 6 in descending order.\nAnswer: 6, 2\/5, -1, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 + 1 + f)*(-f - 2*f + 6*f + (6 - 3 - 2)*(6*f - 2*f - 3*f)).\nAnswer: 4*f**2 + 4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -64 = -0*a - 4*a. Let u = -11 + a. Does 2 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30*c + 39*c - 45 = 0. What is the closest to -0.1 in c, -0.01, 4, 2?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1104145595?\nAnswer: 5, 7, 67, 293, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 1, j: 1, b: 3, u: 4, v: 1, m: 4}. Give prob of sequence amj.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 1.817829 weeks?\nAnswer: 305.395272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -0.18 * -2.7\nAnswer: 0.486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -130 - 136?\nAnswer: -266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = 5*i**2. Let y(j) = -24632516*j**2. What is c(y(x))?\nAnswer: 3033804222451280*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -8*r + 16*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*q**(-5))\/q**(-1))\/(q**(-2\/7)*q*q\/(q\/((q*q\/q**(2\/9))\/q))*q) assuming q is positive.\nAnswer: q**(-346\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -21 - -21. What is the second biggest value in -6, -0.1, 5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-f + f - 3*f)*(11 - 30 + 4)*(2*f**2 + 5*f**2 + 0*f**2).\nAnswer: 315*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.06 and 408939.\nAnswer: 408939.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*j + 27*j + 0 + 0 - 19*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 183*w. Let u(p) = 32923*p**2. Give l(u(s)).\nAnswer: 6024909*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + sqrt(5)*-2*5*-4.\nAnswer: 40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 + 3 - 2*z)*(-3 - 4 + 6)*(1 + 2 - 16)*(16 - 17 + 11) to b*z + g and give b.\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*b + 3 + 0 = -3 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -354653 or -354639?\nAnswer: -354653","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 7 - 5. Let m(z) = 0*z**2 + z**2 + 10*z**k - 7*z**2. Let d(h) = h. Determine d(m(p)).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = 38*g**2 - 85*g - 372. Give t(-4).\nAnswer: 576","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -2*c - 26. Suppose 5*g = 5*n - 75, 8*n - 6*n + 54 = -5*g. What is q(g)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = w**2 + 4*w + 5. Suppose 0 = -3*s - s - 16. Let x be r(s). Suppose q = -0*q - x, 3*l = 4*q + 20. Solve l = 3*f - 0 - 6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 512077\/380232 + 5\/10562. What is the common denominator of 2*(-93)\/66 - 0 and k?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1049.0599 rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*d = 5*d - 15, 0 = -2*p - 3*d - 29. Let q(g) = g**2 + 7*g - 2. Determine q(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 355591\/89 or 3995?\nAnswer: 355591\/89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -13*p**2 + 9*p + 54. Let l be u(7). Let x = l + 544. What is the greatest common divisor of 600 and x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 8268337 and 4676?\nAnswer: 1169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/(-15)*2)\/(-11*10\/(-165)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(114)*1 - sqrt(114))*5)\/sqrt(6) + (sqrt(57) - (sqrt(399)*-1)\/sqrt(7))\/sqrt(3))**2.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -19070908 or -19070911?\nAnswer: -19070908","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -56*u - 6. What is the hundreds digit of j(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*s + 8 = 20 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1557961*y**4 + 1245936*y.\nAnswer: 18695532*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-2\/7)\/z)**4*(z\/z**(-10))\/(z**(-2\/19)\/z) assuming z is positive.\nAnswer: z**(926\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (1677 - 1662) + (-2 - 39) + -2\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -c - 0*c + m - 7, 13 = -3*c - m for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -5 - -5. Suppose o = -5*q + 5, 2*w - 4*w + 3*q = -349. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find x, given that -2*x**2 - 1695371508*x - 359285568767274258 = 0.\nAnswer: -423842877","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express -40*h + 8*h - 52*h as v*h + z and give v.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lllllffll. What is prob of sequence llff?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = 3*u - 5. Let p be (30\/3)\/(-2) + 1. Let v(l) be the third derivative of l**4\/12 - 2*l**3\/3 + 2*l**2. Let z(r) = p*v(r) + 3*i(r). What is z(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -347*r**2 - 2 + 2*r + 5 - 17 - 31 - r wrt r.\nAnswer: -694","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = v**3 - 8*v**2 - 2*v - 6. Calculate c(8).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -22 + 377*j**2 + 22 + 91*j**3 - 5*j + 5*j wrt j.\nAnswer: 546","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -15204416*a**2 - a**4 + 15204416*a**2 - 3*a**3 - 7586*a - 665*a**5 wrt a.\nAnswer: -13300*a**3 - 12*a**2 - 18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 7\/16 of a centimeter?\nAnswer: 4375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-14)\/((-40236)\/840 + 48)\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*x - 3*x - 15. Suppose -3*z + 12 = -5*z. What is the biggest value in z, x, -3\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -352 + 570. What is the greatest common divisor of g and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 317 - 181 = -34*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*g**2 - 5*g**2 + 3*g**2)*(-5*g**2 + 12 - 12) + (-2*g**2 + 0*g + 0*g)*(-g**2 - g**2 - g**2) - 6*g**4 - 5*g**4 + 0*g**4.\nAnswer: -10*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 11 + -2 + (-4)\/2. Let x be 16\/(-3)*3*18\/(-8). Suppose -18 + x = 9*j. Solve 0*i - 4*t = i + v, t + 13 = j*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(1\/2))**(-2\/91)\/((p\/(p**(-2)\/p))\/(p*p*p\/p**(1\/4))))\/(((p*p\/(p\/(p\/(p*p\/p**(2\/11)))))\/p**2)\/(((p\/(p**(-6)\/p))\/p)\/p**2)) assuming p is positive.\nAnswer: p**(22251\/4004)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-17)\/(g**(-4)\/g))\/(g\/g**2)**(-2\/13) assuming g is positive.\nAnswer: g**(-158\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4745, 4744, 4743, 4742, 4741?\nAnswer: 4740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 884 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -56826*h - 56830*h - 56821*h - 56828*h + 227311*h.\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) be the third derivative of s**6\/40 + s**4\/4 - 13*s**3\/6 - 21*s**2. Let y be o(4). Suppose -3*k = -d - 307, -y = 2*k - 4*k - d. Does 17 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 241573650 and 10.\nAnswer: 241573650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*d**4 + 0*d**3 + 0*d**3)*(-3 + 3 - 1) + (-2*d**2 + 54 - 40 + 4*d**2)*(-5*d**2 + 4*d**2 - 2*d**2) as m*d**2 + b*d**4 + k*d**3 + l + g*d and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 7*l**2 - 14*l - 3. Let g(m) = 13*m**2 - 27*m - 6. Let i(u) = -6*g(u) + 11*n(u). Let h be i(8). Solve -2*v + 7 = -h for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 215 = -4*q + 303. Calculate the remainder when q is divided by 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 1849, 1825, 1769, 1669, 1513, 1289, 985?\n\"Answer: -2*b**3 - 4*b**2 + 2*b + 1853","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (3\/(-6))\/((-4)\/(-8)) - -5. Let z be -20 - 6\/(s - 6). Let j = 19 - z. What is the highest common factor of j and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 18 - 15. Let d(w) = -27*w - 3. Let f be d(j). Let y be (-45)\/f - (-1)\/(-4). Sort y, 2\/3, 0 in descending order.\nAnswer: 2\/3, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.026874 to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (42\/28)\/(1\/12). 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: Is 163 a factor of 1363685515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10416216 is divided by 2038.\nAnswer: 2036","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 50 + -63. Are c and -10 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f + 3 = h - 17, -3*f - 19 = -2*h. Let o = -98 + 93. Sort 2, o, h.\nAnswer: o, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 73, 117, 167, 229, 309?\nAnswer: 413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 divided by 744757?\nAnswer: -2\/744757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 8105?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -334 - -35?\nAnswer: -2cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -24424, -48899, -73378, -97867, -122372, -146899, -171454, -196043?\n\"Answer: -f**3 + 4*f**2 - 24480*f + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 617*j**3*u**2 + 75*j*u**2 - 20*u**2 - 1563 wrt j?\nAnswer: 1851*j**2*u**2 + 75*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*q + 9*q + 0*q.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nbb when three letters picked without replacement from bpmpnb.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.04, 2\/7, -34, 467302 in ascending order.\nAnswer: -34, 0.04, 2\/7, 467302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2.3 - -1.7. Which is the third smallest value?  (a) -1  (b) -1\/5  (c) w  (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*c - o = 16, -79*c + 78*c + o - 9 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -6515527268.1+-7\nAnswer: -6515527275.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -5*o - 128. What is m(78)?\nAnswer: -518","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1157446.\nAnswer: 2, 557, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -77*i + 2972351 - 812039. Does 51 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 110138.6 micrograms in tonnes?\nAnswer: 0.0000001101386","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**(-5)\/j)\/(j*j\/j**(1\/7)*j)*(j\/(j**(-2)*j))\/(j*j*j**(2\/3)))**2 assuming j is positive.\nAnswer: j**(-400\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 2 - 2 - a + 7. What is the least common multiple of 16 and s(0)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r + 5 = -5*m, r = 2*m + 6*r + 5. Let j = -0.2 + -0.8. Let o = -0.0925 + 1.0925. Which is the nearest to -2?  (a) m  (b) j  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 46 and 7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2 + -2. Let i = -14 + 14. Suppose i = -4*q + 6*q. Solve -5*l + k + 20 = q for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 236847086 to the nearest integer?\nAnswer: 619","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2210 (base 8) to base 7.\nAnswer: -3245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 6193, 6287, 6381, 6475?\n\"Answer: 94*v + 6099","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 + -3 + -5 + 8.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -11321341 (base 6) to base 14\nAnswer: -92845","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -h + 7. Let n(x) = x**2 - 3*x + 2. Let p be n(4). Let o be l(p). Let z = -1 + o. Is -1 greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 304996?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2305710 by 561.\nAnswer: 4110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/6, -103, -213 in increasing order.\nAnswer: -213, -103, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.7 + 0.6. Let l be ((-34)\/357)\/((-4)\/(-1222)). Let w = l - -86\/3. Which is the second biggest value?  (a) 4  (b) y  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 82.74819 to the nearest integer.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find t such that 2*t**4\/3 + 32*t**3\/3 - 2440*t**2 + 45600*t = 0.\nAnswer: -76, 0, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 145\/12 and 139\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 2, y: 1, q: 1}. What is prob of sequence yx?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 97\/16 and 57\/28.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 246297 + -2216672\/9. Let 0 - m*q**2 - 25\/9*q = 0. What is q?\nAnswer: -25, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -22001020 - -10221?\nAnswer: -21220022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -8050*w**2 + 7468*w - 24. Let z(u) = -3220*u**2 + 2987*u - 10. Let t(x) = -5*n(x) + 12*z(x). What is the second derivative of t(f) wrt f?\nAnswer: 3220","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-2)\/((28\/42)\/(3622\/(-6))) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in one fifth of a microgram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 585724?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q**5 - 12*q**4 + 24*q**3 + 32*q**2 = 0. What is q?\nAnswer: -4, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.08074 to two dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:37 AM and 4:41 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -276*l**5 + 103*l**4 + 23171*l - 1?\nAnswer: -5520*l**3 + 1236*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(10) - -5*sqrt(50)\/sqrt(5))\/(sqrt(2) - sqrt(4)\/sqrt(8)))**2 + -1.\nAnswer: 719","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 5182 (base 9) in base 6?\nAnswer: 25332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) be the third derivative of p**5\/12 + p**2. Let v(b) = 17*b + 8*b - 23*b. Determine v(d(c)).\nAnswer: 10*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**2)**(2\/21)*(s\/(s*s**(-1\/3)))\/(s*(((s\/(s**(-3\/2)*s*s))\/s)\/s*s)\/s))**(-32) assuming s is positive.\nAnswer: s**(-688\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = s. Let h(w) be the third derivative of -29*w**5\/30 + w**4\/24 + 611*w**2. Determine x(h(r)).\nAnswer: -58*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.544 + -11224082?\nAnswer: -11224081.456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from byyyyybb. What is prob of picking 2 b?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 65*z + 18 = -2*k + 22, -3 - 5 = -4*k for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) be the first derivative of i**3\/3 + 2*i**2 - 6*i + 537. Suppose -k - 2*k - 13 = 2*o, 2*k = -4*o - 22. Calculate r(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = y - 8. Let b be k(12). Let v(h) be the second derivative of -5*h - 2\/45*h**3 + 0 - 1\/90*h**b - 1\/15*h**2. Solve v(p) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 102952741 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 230*a**2 - 587*a - 592*a + 467*a**2 + 1179*a.\nAnswer: 697*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -26*a - 16. Let s(j) = -9*j - 5. Let p(t) = -16*s(t) + 5*y(t). Let g(i) be the first derivative of 0*i + 0*i**2 - 12 - 2\/3*i**3. Calculate g(p(h)).\nAnswer: -392*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pupf when four letters picked without replacement from {f: 3, u: 1, j: 1, m: 5, p: 4}.\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -0.15+-167.9\nAnswer: -168.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -z**3 + 14*z**2 + 31*z + 62. Calculate c(16).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -5  (b) 0.273  (c) 5046\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 167 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 2*v = 0. Let j be (-2)\/(-3) - (1 + 0). Is v less than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3443 and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2766.\nAnswer: 2, 3, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -314 divided by -2?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 1140467572038 - -6?\nAnswer: 1140467572044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 q, 1 e, and 1 z when four letters picked without replacement from {q: 5, g: 3, e: 1, z: 2, k: 3, l: 1}?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 1 a when two letters picked without replacement from {h: 2, b: 2, s: 2, i: 3, a: 1, v: 2}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 7933 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*c - c + 6*c.\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -12 + 100100?\nAnswer: 100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000898 rounded to 7 dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + 1*(-5*(3 + sqrt(75) + 0) + -1)**2 + 3.\nAnswer: 800*sqrt(3) + 2135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = 9*t**2 - t + 19. Is r(-28) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) be the second derivative of 9\/2*c**2 + 1\/6*c**3 + 2*c + 0. Let u be o(-9). Solve -3*s + 0*s = u for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = z**3 - 8*z**2 - z + 6. Let i be j(8). Let q be (16\/4)\/(1\/i). Let y = q - -13. Is y a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(180) - (sqrt(180) + 0)) + -1 + sqrt(180) - (-1*(1 + sqrt(180)) - sqrt(180)))**2 + (2 + 1*(2*sqrt(125) + sqrt(125)) + -4)**2.\nAnswer: -60*sqrt(5) + 2749","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*a**4 + 356*a**2 + 359*a**2 - 44*a + 0*a**3 + 2 - 1073*a**2 + 364*a**2 - a**3 to b*a**3 + r*a + v*a**4 + j + s*a**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 2959 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: Solve 0 = 3*q + 2*k - 6, -37*k + 33*k - 2 = -q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + ((sqrt(20) + sqrt(100)\/(sqrt(5)*-2))*1)\/(-3*sqrt(196)*2 - sqrt(196))*-5.\nAnswer: 5*sqrt(5)\/98 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is (-12)\/(-4) - 0 - -62 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 32\/3 - -2 - 4\/6. Calculate the greatest common divisor of 9 and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t = 4*w + 136, 51 = -3*t - 2*w - 31. Calculate the common denominator of 27\/(-351)*(-934)\/t + 2 and -71\/22.\nAnswer: 2002","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -b**3 - 645*b**2*w**2 - 2*b*w**2 - 2*b*w + 284*b wrt b?\nAnswer: -6*b - 1290*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 4\/3 + 3\/(-9). Let d = -0.5 + 0. What is the smallest value in i, 0, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.08, 5, 0.2, -3, 9599 in decreasing order.\nAnswer: 9599, 5, 0.2, -0.08, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = x**3 + 10*x**2 - 13*x - 12. Let d be k(-11). Let l be d*((-72)\/20 + 4). Suppose r = l*h - 274, -h + 6*r = 3*r - 74. Is 15 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -20, 2 in ascending order.\nAnswer: -20, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h = -h + 40. Calculate the least common multiple of h and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1 + 2 + 219\/(-4). Let i = 52 + y. Factor 1\/2*d**2 + 1\/4*d - 1\/2 - i*d**3.\nAnswer: -(d - 2)*(d - 1)*(d + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2\/15540051 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.0206354 - -381.5916354. Let x = 0.571 - y. Let g = x - -381.000261. Round g to 5 decimal places.\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3848)\/9250)\/(210\/(-2625)).\nAnswer: 26\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a meter in millimeters?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*z = 68 - 50 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 7499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -61 + 103 + 27 - 21\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*h = -5*h - 318. List the prime factors of h.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 8950492, 8950484, 8950486, 8950504, 8950544, 8950612?\n\"Answer: z**3 - z**2 - 12*z + 8950504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) be the second derivative of s**4\/6 + s + 126. Let b(o) = 198*o**2. Determine b(k(x)).\nAnswer: 792*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*u + 2*c + 189, 156 = 4*u - c - 96. Does 21 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 200 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5)\/((-15)\/11) - 117\/702.\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 1615300 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -3\/15589 at least as big as -24.21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -4507.7888 - -3871.78833. Let y = 636 + q. What is y rounded to five dps?\nAnswer: -0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 315559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 6*(-3 - 87\/(-30))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2718 and 162.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 114844 or 114845?\nAnswer: 114844","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -284.51 rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 34*y + 7*y - 9840. What is the third derivative of -11*n**6 + n + 41*n**2 - 13*n**6 - y*n**6 - 25*n**6 wrt n?\nAnswer: -34680*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = u + 11. Let o be s(-11). Which is the biggest value?  (a) -0.1  (b) o  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 121927212.\nAnswer: 2, 3, 11, 47, 6551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**(-12)*o**(-7\/4) assuming o is positive.\nAnswer: o**(-55\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*u - 215*s + 112*s = -102*s - 22, 419*u - 2*s - 452 - 1220 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -116*p + 114*p - 16 = c, -2*p + 133 = 12*c + 413 for c.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Determine t, given that t**5 + 349*t**4 + 11143*t**3 + 138843*t**2 + 776304*t + 1632960 = 0.\nAnswer: -315, -9, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b = -n - 8, -2*b = 4*n + 3*b - 36. Let p(l) = -l**3 - 4*l**2 + 8*l + 7. Let x be p(-5). What is the remainder when n is divided by (-2)\/x + 22\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 43*i = 60*i - 833. Solve 0 = -i*j + 65*j + 48 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 6806 and 25564.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17*w**3 - 27*w**3 - 4*w**3.\nAnswer: -14*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = s. Let x(c) be the third derivative of -11*c**6\/120 + 23*c**3\/6 - 19*c**2. Let l(w) be the first derivative of x(w). What is l(p(a))?\nAnswer: -33*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 11, -0.1, 2\/13, -3\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 2188165174 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 9136 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 44 is divided by 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 132*n**4 - 24*n**3 + 2*n**2 - 16*n - 2 wrt n.\nAnswer: 3168*n - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 205*l - 203*l - 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -38\/17 and -5\/90831?\nAnswer: 90831","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -2*t - t. Let j(r) = -4*r**3 + r**2 + r + 1. Let s be j(-1). Let k(z) = -z - 14. Let p be k(-11). Put s, t, p in increasing order.\nAnswer: p, t, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 2 x when three letters picked without replacement from xdbxdxbbbdbbxdb?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c = -4, 13*u - 28 = 9*u + 3*u - c for u.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -17*f**2 + f + 1. What is b(-1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vovokoookzowvvz. What is prob of sequence kzv?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -4287*o + 25728. Let q be p(6). Let n(y) be the first derivative of -3\/25*y**5 + 0*y**2 + 1\/4*y**4 - 3\/10*y**q + 15 + 0*y - 1\/15*y**3. Factor n(t).\nAnswer: -t**2*(t + 1)*(3*t - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 312480 is divided by 1781?\nAnswer: 805","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -8, 168, -4 in ascending order.\nAnswer: -8, -4, 168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -3  (b) -1\/3  (c) 2\/13  (d) -2\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 10721130 and 90.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 22979*k**3 + 785493*k**2 wrt k?\nAnswer: 137874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-2)\/(-6)*178 + 42\/(-126). Suppose 3*b = 593 - s. List the prime factors of b.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 + 7*j**3 - 5*j**4 + 2*j**4 - 3*j + 214132*j**2 - 214133*j**2 in the form h + c*j**2 + a*j + d*j**4 + n*j**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 321*k + 6282. What is the remainder when s(-9) is divided by 170?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 1, v: 10, o: 1, u: 3}. Give prob of picking 2 v.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -i**2 - 8*i - 8. Let b be c(-6). Let o(w) = -w + 7. Let z be o(5). Suppose z*u = -4*f + 4, -b*u + 4 = -4. Solve f = y - 0*y + 5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 5430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (-22)\/(-24) + (-5)\/4 + (-6)\/(-72)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s = 4*j - 7*s - 83, j - 23 = 2*s. Let o(t) = j*t - 3*t + 15 - 3*t - 15*t. Calculate o(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 (base 14) in base 15?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 373 minutes after 12:20 AM?\nAnswer: 6:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 7152 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -23150 (base 13) to base 9\nAnswer: -106642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (0\/(-85))\/((-12)\/(-1))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -4124142*p + 4124142*p - p**2. Let d(h) = -h - 2098. Determine n(d(v)).\nAnswer: -v**2 - 4196*v - 4401604","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 56 divide 15306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1 - ((-52)\/(-12) + -4). Which is the closest to m?  (a) 0.2  (b) -1\/9  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.5157 less than 228?\nAnswer: 230.5157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*b - 3*b - 3 = -a + 32, 33*a = -5*b + 1183 for a.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -p**2 - 7*p - 23. Give r(-6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -35*t - 86*t + 10*t**2 + 180*t - 30*t - 29*t.\nAnswer: 10*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 12343 + -12312. Sort -2\/13, 0.4, 2\/9, 0.1, z.\nAnswer: -2\/13, 0.1, 2\/9, 0.4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 79*s**2 - 7 - 12*s - 78*s**2 - 3. Let p be c(14). Solve 5*i - 7 = -m + p, 0 = 3*m - 15 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 103*h**3*y**4 + 97*h**3 - 2*h**2*y + y**4 wrt y?\nAnswer: 1236*h**3*y**2 + 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-68)\/6*-4*(-6)\/16. Let k be q\/(-2) - 18\/12. Let t(r) = 2*r**3 - 14*r**2 + r + 6. Let h be t(k). What is the greatest common factor of h and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 16\/2*(-7)\/(-28)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*y**2 + 2*y**2 + y**2 + 105*y - 104*y + 27 - 3*y**4 wrt y?\nAnswer: -36*y**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12\/66*(2838\/42)\/43.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(19)*-2*-5)**2 + -5*sqrt(19)*-1.\nAnswer: 5*sqrt(19) + 1900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -q**3 - 29*q**2 - 10316*q - 321746. Calculate t(-31).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 9591?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (3 - 6)*440\/(-6). What is the greatest common factor of 20 and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 156*d**5 - 127*d wrt d?\nAnswer: 3120*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 2*c - 48 = 0. Let u(z) = -z**3 + 8*z**2 - 5*z - 9. Let m be u(7). Solve -m*w = 4 + c for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*k**4 - 96*k**3 + 2*k**2 + 96*k = 0. Calculate k.\nAnswer: -48, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 + 2*f)*(-4*f - 2 - 2*f + 4*f).\nAnswer: -4*f**2 - 4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:08 PM and 8:41 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 67078 to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o + 10 = 2*m, -12 = -2*m - 119*o + 123*o. Let x(r) = 7*r**2 - 3*r - 3. Let j(g) = 4*g**2 - 2*g - 2. Determine m*j(t) - 6*x(t).\nAnswer: -2*t**2 - 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 31 - 28. Let i be (-684)\/8*2 + j. Let c = -109 - i. Does 10 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 690 minutes before 3:01 AM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 156944466 to the power of 1\/2, to the nearest integer?\nAnswer: 12528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4*(sqrt(16)*-2 + sqrt(16)))\/(sqrt(8)\/(sqrt(12)\/sqrt(3))))**2.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((14715\/420)\/(-109))\/((-6)\/28).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-10)\/(-3)*90\/50*((-874)\/(-438) - 2)?\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is b0 + -4?\nAnswer: a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + 35 - 28 - (11 - 1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -c - 3. Let b be -1 + -4 + (-3)\/3 - -1. Give w(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -254315*k**2 + 3*k + 254623*k**2 + k - 11 - 4*k.\nAnswer: 308*k**2 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -32 (base 14) in base 8?\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -25*h**4*r**2 + 19*h**3*r - h**2*r**2 + 2*h*r - 91*r**2 wrt h.\nAnswer: -600*h*r**2 + 114*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 33 + 7*n**3 - 28 + 6*n + 0*n**3 to x*n**3 + w*n**2 + s + r*n and give x.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 1, b: 1, d: 2, v: 5, m: 1}. What is prob of sequence vbm?\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*v - 3*v + 20*v**3 - 59*v**3.\nAnswer: -39*v**3 + v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -6 + (4 - (11 + 2))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 209464 (base 10) in base 6?\nAnswer: 4253424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -343*m**4 + 77*m**3 + 77*m - 1407. Let x(b) = -9*b**4 + 2*b**3 + 2*b - 37. Let t(f) = -2*k(f) + 77*x(f). Find the first derivative of t(j) wrt j.\nAnswer: -28*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 1 e when two letters picked without replacement from wlwelblbfb.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 16 = f + 4*l, 2*l = -4*f + 26. Suppose 2*m - f*i + 2*i = 0, -2*i = -2. What is the first derivative of 7*w**2 - m*w**2 + 1 - 3 wrt w?\nAnswer: 10*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 50, 32, -2, -58, -142, -260?\nAnswer: -418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(117) + 0)*5 + -3*sqrt(117)*2)**2 + -1.\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/2 of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from oooovov.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s + 6 = 4*m, m - 5*s + 0*s = 14. Suppose 4*v + 200 = -m*c, -c - 84 = 2*v - 35. Let o = 11 - c. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 0 - 61*g - 65*g**3 + 5 + 76*g + 58*g**3 as o + u*g**2 + k*g**3 + y*g and give k.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u = -1 - 1. Let v be 21 + -11 + 0 + 2 + -2. Suppose v*b = -38 + 188. Solve u*j = -5 + b for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6912129 divided by 4?\nAnswer: 6912129\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.06 in -0.5, -2, -3, 5\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 431, 859, 1285, 1709, 2131?\nAnswer: 2551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) be the third derivative of 1\/140*d**7 + 0 - 1\/672*d**8 - 3*d**2 - 1\/120*d**6 + 1\/16*d**4 - 1\/12*d**3 + 0*d - 1\/60*d**5. Factor y(q).\nAnswer: -(q - 1)**4*(q + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 558320 + 328510 = 35*s. List the prime factors of s.\nAnswer: 2, 3, 41, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = l**2 - 8*l - 1. Calculate z(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -162\/145 or -1?\nAnswer: -162\/145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 14146913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find z, given that 245*z**4 - 2100*z**3 + 4080*z**2 - 1840*z + 240 = 0.\nAnswer: 2\/7, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4?  (a) -32  (b) 0.11  (c) 0  (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-6)\/((-5)\/(-35) - 26\/(-112)). Let q be (-45)\/60 - (4\/k - 3). Solve -3\/2*f**2 + 0 - q*f = 0 for f.\nAnswer: -5\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z = u - 1505, u - 1771 + 4772 = 2*z. What is the derivative of 1502*x - 156*x**2 - z*x - 56 wrt x?\nAnswer: -312*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 1, w: 1, g: 3, d: 2}. Give prob of picking 2 g.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -54 - -134. What is the hundreds digit of a\/(-6)*(525\/(-10))\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine t, given that 33*t**5 + 903*t**4 + 1116*t**3 - 1428*t**2 - 624*t = 0.\nAnswer: -26, -2, -4\/11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -3*y**2 + 1. Let p(c) = 3*c**2 - 1. Determine -3*a(r) - 2*p(r).\nAnswer: 3*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 1151746, 1152010, 1152450, 1153066, 1153858?\n\"Answer: 88*v**2 + 1151658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h*h**(-23))\/h**(-8)*((h*h**(1\/12))\/h)\/(h\/(((h*h**(-5\/7)\/h*h)\/h)\/h)*h))**(-2\/29) assuming h is positive.\nAnswer: h**(1481\/1218)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -44195998, -44195990, -44195982, -44195974, -44195966?\n\"Answer: 8*u - 44196006","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*y**5 - 5*y**5 + 4*y**5 + (-y - 4*y**3 + y)*(-472*y**2 - 528*y**2 - 8*y**2).\nAnswer: 4029*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 2.8 times 99093\nAnswer: 277460.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -17*t. Let x(w) = -17*w + 4. Determine x(f(d)).\nAnswer: 289*d + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -2*l. Let i(u) be the first derivative of -17*u**3\/6 - 14*u + 50. Let r(n) be the first derivative of i(n). Calculate d(r(j)).\nAnswer: 34*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(sqrt(209)\/(-3*sqrt(99)) - (-5 + -4 + sqrt(1900) - sqrt(1900))**2) + 4.\nAnswer: 5*sqrt(19)\/9 + 409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 4 + 1b0?\nAnswer: 1b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_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: Evaluate ((-7)\/((-203)\/(-58)))\/9.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -47 - -67. Suppose -16*j + 4*p + 22 = -14*j, 5*j - 3*p - r = 0. Let k = 0.03 - -4.97. Which is the second smallest value?  (a) j  (b) k  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 785*h - 44 = 686*h + 352 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 59\/5 of a millennium in years?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of h**3 - 19196*h**2 + 22330*h wrt h?\nAnswer: 6*h - 38392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(2420)*-1 + sqrt(2420))*-1)\/((sqrt(4) + (-5*sqrt(8) + sqrt(8) + sqrt(8) - sqrt(8))\/sqrt(2))*-6))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 55621216 and 160.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -61\/74?  (a) -4  (b) -0.3  (c) 0.1  (d) -13\/40\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**13*p**(3\/8)\/p)**(5\/6))**(2\/65) assuming p is positive.\nAnswer: p**(33\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -y**3 + 6*y**2 - 6*y + 8. Let j = -83 + 88. Let n be v(j). What is the units digit of 15\/9 + ((-60)\/(-18) - n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 405 + -5?\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zzolihx. What is prob of sequence il?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.4 in 35\/6, 1, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - 7*o - 10485 = -5*b, -2*b = o - 4188. Let f = b + 1168. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8 = -j + 4*z + 25 + 14, -440*z = 5*j + 1605 for j.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 4\/(-18) + 20\/9 - 481\/222. Which is the fifth biggest value?  (a) 2  (b) -1.56  (c) -1\/4  (d) k  (e) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -20*p - 53. Let a(i) = -36*i - 107. Let u(s) = 3*a(s) - 5*v(s). Let z be u(-7). Suppose -6*l + l = 0. Solve l = b - z*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 267806 to the power of 1\/3, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -723, 3252, 7233, 11220?\n\"Answer: 3*p**2 + 3966*p - 4692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2904625?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5 - 6*y - 5 + (5*y - 4*y + 0*y)*(4 - 1 - 2) - 6*y - 4 + 4.\nAnswer: -11*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 37020773 to the nearest integer?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k**3 + 2650*k**2 - 309445*k - 3354450 = 0. What is k?\nAnswer: -627, -10, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-3\/4)*u)\/(u\/u**3)*(u*u*u**(-2\/5)*u*u)\/u*u**(2\/11)*(u\/((u\/((u**0\/u)\/u))\/u))**20*(u**(-2)*u)**(-2) assuming u is positive.\nAnswer: u**(-2853\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:58 PM and 12:01 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.539 - -0.07. Round a to 2 decimal places.\nAnswer: -0.47","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) be the third derivative of -1\/6*i**3 + 0 - 1\/8*i**4 + 0*i + 3*i**2. What is the derivative of n(l) wrt l?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -776*d*o**3 + 36*d*o + 151*d + 587*o**3 - 18*o - 2 wrt o.\nAnswer: -4656*d*o + 3522*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l = -4*z - 0*l - 15, 3*z = -l + 3. Let j(h) = 13 + z + 1501*h - 1502*h. Give j(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:45 AM and 4:37 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xlh when three letters picked without replacement from llhhhllxhhxxh?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -t**2 - 4*t - 3. Let i(d) = -3*d**2 - 12*d - 9. Give -4*i(g) + 11*y(g).\nAnswer: g**2 + 4*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 87\/4922492 and -1\/27388.\nAnswer: 201822172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.6623929 decades in years?\nAnswer: 6.623929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 31*d + 9 = 30*d + 5*m, 4 = 4*m for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of ((-14)\/(11 + -4))\/(6\/(-58872))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*d = -2*d - 20. Solve 0*l - 14 = 2*l - d*b, 5*b = -5*l + 10 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.07 and 0.0809?\nAnswer: 0.005663","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8 + 7 + 3)*(v**3 - 2*v**3 + 2*v**3).\nAnswer: 18*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 17 - -1216a?\nAnswer: 12182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 + 9*b + 26*b**2 - 6*b - 495*b**2 - 1 in the form i*b + l*b**2 + k and give l.\nAnswer: -469","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (q**2 - 6*q**2 + 7*q**2)*(-4*q**3 + q**3 + 0*q**3) + (6*q - 3*q - q)*(-43145*q**4 - 3*q**3 + 43448*q**4 + 0*q**3).\nAnswer: 600*q**5 - 6*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 2*w**2 + 2*w + 4. Let l be y(-3). Calculate the highest common factor of 128 and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1163 is divided by 385.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -465*q. Let l(y) = -135*y**2 - 97 + 130*y**2 + 97. What is l(v(b))?\nAnswer: -1081125*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10010001001 (base 2) to base 5.\nAnswer: -14121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 978083 is divided by 409?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i = -12 + 16. Suppose -o = i*o. Solve -k = -4*w + 12, o = 2*w - 3*k - 4 - 12 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -3553*o + 99487. Determine r(28).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6143304 (base 7) to base 14.\nAnswer: 15143b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1258 - 2167. Let r = -377 - n. What is the hundreds digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 6*d**2 - 63*d - 602. Determine c(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -106*j - 1. Let b be w(-1). Let f = -123 - -138. What is the greatest common divisor of f and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -n + 2*n - 10. Let d(q) = -q**3 + 9*q**2 + 14*q - 12. Let a be d(n). Is (-1)\/(a\/(-9) + 3) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ujmq when four letters picked without replacement from qmumxuj?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - 94 - 56 = 0. Let m = 336 - 339. Let f(b) = 27*b**2 + 2*b + 1. What is the remainder when f(m) is divided by u?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -1120*x - 2*x**2 - 630*x**3 + 1294*x**3 - 1 - 666*x**3 in the form k*x + q*x**3 + h*x**2 + m and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 6*12 - (-8 - 17 - -21). Calculate the greatest common factor of 95 and r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -854*p**3 + 2 - 934*p**3 + 1690*p**3 in the form h*p + z*p**3 + c*p**2 + n and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.07 - 4.07. Let o = m - -4.1. Let j = 23\/9 + -29\/9. What is the second biggest value in j, 2\/3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-1230)\/25)\/(390\/200) + 4. Is -21 at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.158 - -22786830272\nAnswer: 22786830272.158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.7?  (a) -0.23  (b) 0.4  (c) -2  (d) -0.25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -37452577*r**4 + 7024613*r.\nAnswer: -449430924*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 129 = -d - 7. Is -138 bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*c + f + 2 = 0, -4*c + 2 = 4*f + 10 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.871977 rounded to 2 dps?\nAnswer: -0.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 40*z**3 - 4*z - 4*z - 147*z**3 + 8*z.\nAnswer: -107*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -46\/27 and (-10)\/(-25) + 253\/(-45).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21145399 to the power of 1\/3, to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -89*l - 6*h - 1702 + 11 = -4*h, -7*l - 117 = 5*h + 16 for l.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 66 = 21*u + 12*u. Suppose -s + 555 = -u*q, -11*q + 2723 = 5*s - 8*q. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) be the third derivative of -j**5\/36 - 25*j**4\/72 - 5*j**3\/3 - 3*j**2 - 3. Suppose f(m) = 0. What is m?\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*o**(2\/9))**(-48)*(o\/(o*o**(-10\/7)\/o*o))\/(o\/((o*o**(-12\/11))\/o)*o))**(1\/2) assuming o is positive.\nAnswer: o**(-6968\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 39747.11 years?\nAnswer: 476965.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 0 - 4 = -5*g, 3*p + 4 = 4*g. Suppose -g*i - 7 - 1 = 0. Let s(h) be the first derivative of -h**4\/4 + h**3\/3 + 3*h**2\/2 + 2*h - 4. Calculate s(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10540287*l - 7480 = 10540372*l for l.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -12131231231021 - 11?\nAnswer: -12131231231032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 - 3 - -14 - ((-4 - 23) + 34).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -27*n + 1728. Calculate j(64).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -1068535*y**2 - 3868*y - 19340. Let g(i) = -1934*i**2 - 7*i - 35. Determine 3868*g(q) - 7*x(q).\nAnswer: -967*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-3)\/2)\/((-4)\/(240\/18))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -l**2 - 16*l - 68. Let r be h(-8). Let z(x) be the third derivative of -2*x**2 - 1\/6*x**4 + 0 - 1\/60*x**5 - 2\/3*x**3 + 0*x. Calculate z(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (1\/1)\/(3\/12). Suppose 4*j + k = 5*j. Suppose 3*y = x + 2*x - 33, 0 = j*x - y - 41. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 13.6 and 359768?\nAnswer: 359754.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -22 + 27. Let r(j) = -j**2 + 6*j. Let u be r(h). Suppose -2*g = 3*g - 15. Solve -o - o + 18 = 4*k, 4*o + g = u*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*q**(-1)\/q)\/q)**(-2\/15)*q\/q**(2\/5)*q**7\/q assuming q is positive.\nAnswer: q**(103\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 86203 and 209?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does -62 = -2392?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 6415 and 82.\nAnswer: 526030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -2878090061 - -2127\nAnswer: -2878087934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is -7\/1020 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 559 minutes before 4:03 AM?\nAnswer: 6:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -518225 - -62.\nAnswer: -518163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*l + 5*c + 1311 + 1944, -5*l = 2*c + 3267. Let v = -652 - l. Solve -d + v - 2 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 351.718 + -352. Let j = z + 0.642. What is the smallest value in -0.3, -0.1, j?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 25 + -18. Solve -l + c = -3*d, 2*d = 3*l - 8*l - 16 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-4\/3))**21*(c**(2\/27)\/c)**40 assuming c is positive.\nAnswer: c**(-1756\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*b - 5*b + 4*b)*(-4 + 2 - 3) + 6 - 6 + 2*b + (-5 + 3 + 1)*(-3 + 3 - b) + 0*b + 0*b - 2*b.\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) be the first derivative of -m**3\/3 + 20*m - 4. Is x(0) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -79d98d - 2?\nAnswer: -79d98f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 223161209 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -8*k - 5*l + 122, -5*k + 3*l - 1804 = -1770 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = 4*h**5 - 25*h**4 + 33*h**3 - 8*h**2 + 5. Let d(a) = 3*a**5 + 14 - 24*a**4 + 5 - 8*a**2 + 34*a**3 - 13. Let o(c) = 5*d(c) - 6*r(c). Factor o(v).\nAnswer: -v**2*(v - 2)*(3*v - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -75, -154, -233, -312?\n\"Answer: -79*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -176, -175, -174, -173?\n\"Answer: d - 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 11051701*b**3 + 1000792*b**2.\nAnswer: 66310206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve c + 10 = -c + 4*x, -25*x + 50 - 22 = -c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 416814?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) be the second derivative of -h**4\/12 + h**3 + 2*h**2 + 5*h. Let x(n) = -5*n - 4. Let i(r) = 5*t(r) + 6*x(r). What is the derivative of i(v) wrt v?\nAnswer: -10*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -115*o - 299. Let z be s(-3). Put -3, z, 2, -4 in increasing order.\nAnswer: -4, -3, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -4, 575.\nAnswer: -4, 3, 575","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 120 and 336.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) be the first derivative of -i**2 + i**3 - i**2 - 4 + 4 - 2 - 6*i. Is r(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*n**2\/2 + 2400*n - 19296.\nAnswer: 3*(n - 8)*(n + 1608)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -16144 divided by -16\nAnswer: 1009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 59430217 to the nearest integer?\nAnswer: 7709","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -12*m**2 + 2*m. Let z(b) = 8*b**2 - 3*b + 2. Let a(o) = 34*o**2 - 13*o + 9. Let p(i) = 2*a(i) - 9*z(i). Give -2*j(u) + 7*p(u).\nAnswer: -4*u**2 + 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-270)\/24)\/((-75)\/120)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -18.326 - -18.3270073. Round q to five decimal places.\nAnswer: 0.00101","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*l + 2 = -2*t, -4*t - 10 - 2 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2.1?  (a) -1\/8  (b) 864  (c) 5  (d) 1\/2  (e) 3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) be the third derivative of -3*h**4\/8 + h**3\/6 + 37*h**2. Let v(a) be the first derivative of a**2\/2 - 6. What is -f(k) - 6*v(k)?\nAnswer: 3*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1396561 - -2?\nAnswer: 1396563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 662\/11 - 60. Let l = 0 + -0.3. Let g = 0.2 + l. What is the nearest to g in b, -0.5, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4074 divided by 5?\nAnswer: 4074\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -14 - -5. Let u = 15 + b. Calculate the greatest common factor of 12 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.1, 1\/2, 1\/4, 4, -2.1, 1\/73?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kkfkkkffkffkfkffkfkk. What is prob of sequence fff?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -72870000 rounded to the nearest one million?\nAnswer: -73000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*g**2 + 2*g**2 + 0*g**2 + (6 + 2*g - 6)*(5*g - 14 + 14).\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(153)*-2 + sqrt(153))*3)**2.\nAnswer: 1377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -4*a - 50. Suppose 0 = 3*w + 3*x + 30, -3*w + 6 = -2*w + 5*x. Let p be b(w). Solve -2*k - p = -5*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + sqrt(5) + sqrt(1125))**2 + 0.\nAnswer: -64*sqrt(5) + 1284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*(c\/c**14)\/c*c)**(37\/5) assuming c is positive.\nAnswer: c**(-444\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 - 6 - (-11 + -3 + 11).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 661088.\nAnswer: 2, 73, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10298731*g - g**2 + 20597476*g - 10298745*g.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 42853815?\nAnswer: 3, 5, 41, 23227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -180*j - 14. Let k be q(-6). Suppose -3*l + k = -662. Is l - (-2 - 2\/(6\/3)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-7*(-6)\/(-126))\/(2\/(-408)*(-28)\/(-7))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 66 and 174.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*k - 8*g + 622 - 653, 3*k = -2*g + 4 - 31 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of (2 - 42)*24102\/(-156)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.036192 and -0.2.\nAnswer: -0.163808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h**3\/7 - 909786*h**2\/7 - 206929461009*h\/7 - 827703287524\/7 = 0.\nAnswer: -454891, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 1653742 a multiple of 482?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000013433 to 6 decimal places.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1918515?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 241 (base 5) to base 12.\nAnswer: 5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 13 + 28\/(-11 + 7)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from frffrffffffrfffffrf. Give prob of picking 2 r.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q = -4*z - 20654, 7*z + 4*q = 3*z - 20660. Round z to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4.692 - -8.081. Let f = 5.142 - z. Round f to one dp.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1 + 0*b**2 - 3*b**3 - 731*b**3 + 3*b**2 - 5*b**3 wrt b?\nAnswer: -4434","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 5076 + -5092.848. What is w rounded to 1 dp?\nAnswer: -16.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 57 - 9. Suppose 0 = -3*l + 6*l + 4*s - 47, l - 2*s - 29 = 0. Let z = 27 - l. What is the greatest common factor of r and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -3 - -56416?\nAnswer: 56413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 26913365 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 35*t - 227. Suppose 0 = -4*s - 11 + 51. Calculate the remainder when q(7) is divided by s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = 23*f - 84. Let b be g(4). Let w(n) = 4 + 0 + 4*n - 3. What is the tens digit of w(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10637518.99 - 6\nAnswer: -10637524.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 491612?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*l - 2*l**2 + 2*l**2 - 5*l**2 + 6*l**2.\nAnswer: l**2 - 5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate g*m**3 - 6*g*m**2 - 50*g*m - 121*g - 158662*m**3 - 1 with respect to g.\nAnswer: m**3 - 6*m**2 - 50*m - 121","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -9 + 6 - (0 + -8). Is 7\/2 at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-69)\/((-5865)\/68))\/(11\/(220\/(-56))*-1)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 57 divide (4 + (-49)\/(-2))*(27 + -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -h**3 - 2*h**2 + h + 5. Let g be c(4). Let d be (-45)\/105 - (3518\/(-42) - 2). Let j = g + d. What is the second biggest value in j, 2\/5, -14?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*w**3 - 2*w**2 + 21206*w - 54913.\nAnswer: -6*w**2 - 4*w + 21206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -52*d**3 - d. Let m be p(1). Let s = -35 - m. Suppose -4*c + s = -c. Is c a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-2)\/9 + ((-10)\/(-45) - 5). Let t be v\/(9310\/(-2328) - -4). Calculate the common denominator of (-10961)\/t - (-1)\/(6\/(-2)) and -71\/22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.121 and -0.16.\nAnswer: -0.281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 65\/6 and 20\/15741.\nAnswer: 31482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (0 + -2)\/((-10)\/(-40)). Let w(z) = 3*z**2 + 2*z + 17. Let s be w(m). Let c = -80 + s. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3  (b) 2005  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of h*j*w - 27*h*j - 440*h*w + 9*h - 152*j*w - j - 40*w wrt h?\nAnswer: j*w - 27*j - 440*w + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*v + h - 644, -4*h + 18 + 204 = v. What is the remainder when v is divided by 56?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 510*u - 1500 = -261*u + 1021*u for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 9419, 8363, 7307, 6251, 5195, 4139?\nAnswer: 3083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 38 in -0.4, 0.1, -21\/4, -2\/9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26*x - 2*o = -21*x, 2*x = 4*o for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -14232642 (base 7) to base 10\nAnswer: -1335966","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*m = -4*t + 4, -10*t = -3*m - 5*t - 11 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-32)\/(-260))\/(-4)*(-10)\/2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.2546 and -0.037?\nAnswer: -0.0094202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -38 - 16 = -9*a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 416 minutes after 11:40 AM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1015 - -53?\nAnswer: -522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:22 PM and 8:38 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 80758809 to the power of 1\/3, to the nearest integer?\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1352 is divided by 194?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 790 = -28*g + 26*g, -g = 3*t - 590. Put t, 5, -1 in decreasing order.\nAnswer: t, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*d - 14*d + 6 = 0. Sort d, 5, 0, -1 in increasing order.\nAnswer: -1, 0, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 148743, 148745, 148747, 148749, 148751?\nAnswer: 148753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -v**3 - 3*v**2 - 7*v - 162. What is r(8)?\nAnswer: -922","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 - 5 + 2)*(6 - 6 + 8*x**2) + (-7*x**2 + x**2 - 4*x**2)*(3 - 4 + 0) in the form c + l*x**2 + w*x and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1  (b) -1\/7  (c) -11  (d) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -8204489.90000038 - -8204490. Let s = 4.1 + -4. Let v = k - s. What is v rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12492021 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 30*h - 10*h + 80 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30*r = -401 - 319. Suppose 6 + 3 = 3*i. Suppose 4*l - 2*l + 5*v = -4, i*l - 5*v - 19 = 0. What is the greatest common factor of r and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*n = 3*a - 4, -5*a - 2*n - 28 = -36 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 5.05 - 5. Let z = n - 0.95. Let x = 0.8955 + z. Round x to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 240 minutes before 12:39 PM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -a**2 - 12*a - 21. Determine j(-7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express m**4 + 206*m**2 + m**4 - 2*m**3 - 2*m - 203*m**2 as q*m**2 + u*m + j + p*m**4 + t*m**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -u - 2*u + 1 - 8 - 9. Let l(j) = j + 5. Suppose -3*i - 2*n + 16 = -i, -3*i + 36 = 5*n. Calculate i*p(x) + 7*l(x).\nAnswer: x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 38208.\nAnswer: 2, 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -3*x - x**2 + x**3 + 4*x**2 + 5 + 0*x**2. Suppose 20 = 3*r - 8*r. Let n be u(r). Solve -n = -b - 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b**3\/2 - 8*b**2 + 40*b - 64 = 0. Calculate b.\nAnswer: 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (9\/(-2))\/((-1)\/(-2)). Let k = -6 - g. Solve 0 = k*z + 3*p - 15, 5*p - 26 = -z - 5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 23, 39, 75, 137, 231, 363?\n\"Answer: k**3 + 4*k**2 - 3*k + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 628 minutes before 12:04 PM?\nAnswer: 1:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -67\/3503572 and -121\/36787506?\nAnswer: 73575012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4 - 4.8. Let r = 124 + -51. Let w = r + -75. Which is the second smallest value?  (a) w  (b) -5\/4  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 minus 24543777?\nAnswer: -24543775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 66 + -464\/7. Which is smaller: 1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 761*t**4 + 305 wrt t.\nAnswer: 3044*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4*r**3*t - 260*r**3 + 2*r**2*t + 5*r**2 + 1373*r*t + 7*t wrt r?\nAnswer: -24*r*t - 1560*r + 4*t + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ddhdddhdddhoohhhd. Give prob of picking 1 d and 2 h.\nAnswer: 27\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + (4 + 0 - 9).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 14128*d - 53673*d - 55007*d - 64860*d + 46630*d - 24476*d + (2 + d - 2)*(0 + 1 + 1) - d + 6*d - 3*d.\nAnswer: -137254*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {f: 2, a: 5, b: 6}?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -54237.84 - 0.09331?\nAnswer: -54237.93331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -u**2 - 17*u + 17*u.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = d**2 - 4*d + 6. Let a(i) = i - 3. Let x be a(7). Let u be s(x). Suppose u = -4*r + 6*r. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -49\/193024 and 59\/65728.\nAnswer: 15248896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 46, 2, -14, -1 in ascending order.\nAnswer: -14, -1, 2, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 127, 204, 281, 358, 435?\nAnswer: 512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -12\/13013 and 8\/138593.\nAnswer: 19818799","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5584940 is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 2*b**2 - 11*b + 3. Give u(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -66 - -93. Calculate the remainder when j is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i + 40 - 43 = 0. Sort i, 13, -3 in descending order.\nAnswer: 13, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.04?  (a) 4\/21  (b) 6\/13  (c) 0.2  (d) -0.2  (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -7*b**2 - 10*b - 33. Let f(t) = 3*t**2 + 5*t + 16. Let x(a) = 9*f(a) + 4*k(a). Let h be x(6). What is the greatest common divisor of 66 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*k - 3*k - 2*k**2 + (-576*k + 1313*k - 308*k)*(-3*k - 1 + 1) + (4*k - 4*k - k)*(7*k + 1 - 1)*(0 + 2 - 1).\nAnswer: -1296*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8449*s - 74*s**3 - 242*s**2 + 8449*s - 2.\nAnswer: -74*s**3 - 242*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -5*v - 27. Let a(g) = 13*g + 74. Let f(x) = -3*a(x) - 8*y(x). Suppose 4*q = -2*c + 26, 3*c - 6*c + q = -25. What is f(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 308 = 10*z - 2072. Calculate the remainder when z is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(-2))**(-4\/9)*(k**(-5)\/k*k)**(-3))**(7\/10) assuming k is positive.\nAnswer: k**(1001\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 48863 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 29 + -7. What are the prime factors of b?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 + 3 + 9 - -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 26 and 13403.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 439, 437, 435, 433, 431, 429?\nAnswer: 427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -d**2 + 11*d + 4. Let k be n(11). Suppose 3*z + 3*s - 33 = 0, z + 4*z = k*s + 46. What is the remainder when z is divided by 2\/3*(-6)\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = c**3 + 2*c. Let f be w(0). Solve 7*h - 4*h - 12 = f for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) be the first derivative of t**6\/12 + 5*t**3\/3 + t**2 - 1. Let s(f) be the second derivative of g(f). What is the first derivative of s(w) wrt w?\nAnswer: 30*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -38 - -48. Let s(z) = -z**3 - 1. Let k be s(-2). Suppose g - k*g = -18. What is the lowest common multiple of g and j?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 5275 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 595 minutes before 8:16 AM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 457770730*u**5 - 8*u + 6039026?\nAnswer: 9155414600*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = s**2 - 13*s - 29. Calculate the remainder when 2 is divided by r(15).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 237.8926 + 4\nAnswer: 241.8926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m - 37 = -5*o, -5*o = -m - 3*o - 13. Sort m, -0.047, -2 in ascending order.\nAnswer: m, -2, -0.047","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.6 * 812977\nAnswer: -487786.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 897, 1795, 2691, 3585, 4477, 5367?\n\"Answer: -l**2 + 901*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10 divided by 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-2)\/(-6)*9*1. Solve 12 = 5*k + b*g, -k - 7 = -4*g + 9 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -14 - 22?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 11*w**6 + 497518*w**4 - 2*w**3 + 83712*w**2 - 22*w - 2 wrt w.\nAnswer: 1320*w**3 + 11940432*w - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g = k + 2*k + 46799994, 2*k + 31200003 = -g. Round k to the nearest 1000000.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 700 and 1307950.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) be the first derivative of -9*f**5\/5 - 9*f - 15. Differentiate s(k) wrt k.\nAnswer: -36*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 4*i = -8, i + 29 = 5*v + 31. Solve 5*f - 4*q + 13 = v, 18 = -2*f - f - q for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**(1\/4))**(-4)\/(n**1\/(n\/((n\/(n**4*n))\/n))))\/(n\/n**(-1\/6)*n**(3\/7)*n)**(-21\/4) assuming n is positive.\nAnswer: n**(141\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r + 20 = 4*r. Let w(g) = -g**3 - 6*g**2 - 6*g + 1. Let z be w(-5). Solve 0 = k - z*k + r for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = x + 7. Let w(z) = -z - 8. Calculate -3*l(c) - 2*w(c).\nAnswer: -c - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (18\/(-21))\/(246\/(-4305))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*b - 8 + 51 = 4*b - 6*b - 5*b - 5*t, 8*t = -3*b - 58 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -11 + (11 - 9 - -11).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -1123050*q - 23584045. Determine x(-21).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -p**2 - 3*p - 7. Let i be g(-5). Let k = -12 - i. Suppose k*s = 4*c + 37, 3*s - 23 = -s + c. Solve s*f = -5*x + 5, -4*x + 2*f - f = -24 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -a**2 + 8*a - 9. Let u be z(6). Solve -2*r = -u*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3 - -4. What is the highest common factor of y and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 4 + -15b?\nAnswer: -157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (60\/(-63))\/5*(-228)\/8. Is 6 equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2\/1929 + 163993\/27006. Find the common denominator of b and 0 + (1 - (-206)\/(-8)).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.31 + -0.45. Let l = f + 0.1399995. Round l to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -460634 and -460621 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + 1 + (2 - -7) - 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -47*g**3*t**3*y - 2*g**3*t**2*y + 119*g**2*t**2 + 3*t**3*y wrt t.\nAnswer: -282*g**3*y + 18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 582597?\nAnswer: 3, 19, 3407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert -13034260 (base 8) to base 10.\nAnswer: -2898096","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-153)\/18 - -11)*(-2)\/(-1). Suppose -11*l = -j*v - 16*l + 10, 5*l = 5*v - 20. Solve -m - v*u = -2*m + 18, 5*m - 5*u - 40 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -3213, -3216, -3227, -3252, -3297?\n\"Answer: -j**3 + 2*j**2 - 2*j - 3212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w = -3*w + 24. Solve 5*o - 4 - w = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 118*i - 186 = 25*i. What is the lowest common multiple of i and 234?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = 257*h - 2*h**2 - 257*h. Let y(n) = 5*n. What is u(y(a))?\nAnswer: -50*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -5*z**2 - z. Let o(r) = 16*r + 191. Let h be o(-12). Determine i(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 406, 462, 546, 646, 750?\n\"Answer: -2*w**3 + 26*w**2 - 8*w + 390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = h**3 - 17*h**2 - 29*h + 90. List the prime factors of v(19).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -2*b**2 - 13*b - 7. Let v be n(-5). Let c be 12\/v*(-36)\/15. Is -5 at most as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s - 2*i + 46436 = 0, 0*s + 3*s - i - 34832 = 0. Suppose -4*z - 11625 = -5*c, 3*z - 2*z = 5*c - s. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 129 + -89. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from btbthbktzthhhhztth. What is prob of sequence ktb?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 4657310 and 980?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from slsllllll. Give prob of picking 2 s.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = 4*g - g + 10 - 6. Let i be (5\/(-2))\/(6\/(-17 - -5)). Let d(w) be the second derivative of w**3\/2 + 5*w**2\/2 + 24*w. What is i*v(t) - 4*d(t)?\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 139.91 greater than 27.95?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/(q\/(q**(4\/9)*q)))**(5\/7))**31 assuming q is positive.\nAnswer: q**(2015\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23702*c + 97483 = -44729 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 48 - 52. What is the closest to w in -1, 4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.05 and -1.1.\nAnswer: 0.055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2359 + 2360. Let v be 48\/10 - (-4)\/20. Solve v*x = 11 - u for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 66438 + -8504119\/128. Which is greater: -1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + sqrt(128) + 1.\nAnswer: -1 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = 2*h**2 + 9*h + 5. Let b be y(-3). Let a(u) = 2*u**2 + 5*u + 1. Determine a(b).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14699*c - 1 + 61987*c + 39395*c + 6191*c.\nAnswer: 92874*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 1 = -1, 4*l - 2*g = 38. Let r(c) = 26*c + 15. Let a be r(l). Suppose -13*x + 80 = a. Which is smaller: x or -11?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 984 a factor of 437674772?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 1265, 2, 6720 in decreasing order.\nAnswer: 6720, 1265, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = z**3 - 2*z**2 + 2*z - 1. Let g be t(1). Let a be (-1)\/2*(g - 12). Calculate the highest common factor of 48 and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -1226907, -2453856, -3680805, -4907754, -6134703, -7361652?\n\"Answer: -1226949*s + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -720079\/74 + 9731. Calculate the common denominator of d and -75\/22.\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2319*d**2*l + d**2 + d*l**2 + d*l - 76*l**2 - 2*l - 8 wrt d?\nAnswer: -4638*d*l + 2*d + l**2 + l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 76 + c - 150 + 74.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 33052 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*f + 10*m - 5*m = 25, 0 = f - 2*m + 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3773 + 3773.3. What is the nearest to 0.256 in -1, s, 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1024 (base 6) in base 4?\nAnswer: -3220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28 = -5*w - 17*w - 4*f, 16*w + 6 = 21*w + 4*f for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from aaavjajjvvaaajyjav. Give prob of sequence vj.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 6272 less than 6276?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -k**3 + 3*k**2 + 6*k - 8. Let a = 15 - 11. Let l be r(a). Suppose 9*h - 2*h - 231 = l. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 17 and 663.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2071492.\nAnswer: 2, 517873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -616275456 divided by -71\nAnswer: 8679936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n*n**(6\/11)\/n*n*n)\/(n**(-3)\/n)*(((n\/(n**(-3\/10)*n))\/n)\/n)\/(((n*n**(-9)*n*n)\/n)\/n) assuming n is positive.\nAnswer: n**(1523\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 16752, 33510, 50270, 67032, 83796, 100562?\nAnswer: 117330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 246679697 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:41 PM and 10:16 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -21 + 12 - (1 - 8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 190365615 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 18435794801 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 718 greater than or equal to 719?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -11*r - 279. Let m be a(-25). Let i(s) = 9*s + 2. Let j(w) = w. Calculate m*j(d) + i(d).\nAnswer: 5*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -h**3 - 19*h**2 - 39*h + 4. Let g = 39 - 56. Does 19 divide m(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 197 a factor of 19157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*g*i**3 - 175*g*i**2 - g - 297*i**3 wrt i?\nAnswer: -12*g - 1782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 246?  (a) -9  (b) -388  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1.1 + -0.8. What is the nearest to -1\/3 in 5, 2\/13, p?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from cccqttcqcuutt.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 2\/(-5)*30\/(10\/5)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -10*a**3*b**4*j - 6*a**3*b*j + 2*a**3*b - a**2*b**2*j + 7*a*b**6*j - b**2*j wrt b.\nAnswer: -240*a**3*b*j + 840*a*b**3*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -12.5 + 5. Let z = x - -7. Which is the nearest to 2\/11?  (a) z  (b) 2\/5  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -15888889*s**4 + 32199813*s**2.\nAnswer: -381333336*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 4, o: 3, r: 11}. Give prob of sequence rr.\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-2)\/(-134) + 2 + -2. Suppose -3*i + 53 = 4*f + 62, -15 = 5*i. Are a and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - m = -5*m - 50, 3*j - 3*m + 15 = 0. Let l = -31 - j. Let a be (-6)\/(-4)*(-8)\/l. What is the third smallest value in -1, 2, a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + -5 + 5 + -26 - -48?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10 of a tonne in grams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (89 - 99) + 0 + 13 - 52 - -5\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 399331399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p = -4*p - g + 429, 5*g = 15. Suppose 4*k - 7*k = -5*m - p, -3*k - 207 = 5*m. Find the common denominator of (-21)\/m*19\/(-7) and 37\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 2, u: 1, l: 2, x: 1, m: 4}. What is prob of picking 1 l and 1 x?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = s + 13. Let x be o(-6). Calculate the greatest common factor of 7 and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-13)\/(91\/12))\/(2\/(-7)). Suppose -z*l = 530 - 3074. What are the prime factors of l?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 0*o + c + 31 = 0, 4*o = c + 57. Let n be (-2)\/o - (-10846)\/26. Suppose 8 = -2*a, 3*a + 1500 + n = 3*x. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -20310 rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from loloolloollololl. Give prob of picking 2 l.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = 3*q. Let m(w) = -259 + 259 + 93*w. Determine i(m(u)).\nAnswer: 279*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-18)\/(-3) + (18\/(-24) - (-287)\/(-28)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -1 - (0 + 14 - (-5 + 20 + -20))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 371211 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 13954468 to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 680 = 2*h, 4*h - 692 = -4*v + v. List the prime factors of v.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t**3 + 1872*t**2 - 7425*t - 9300 = 0. Calculate t.\nAnswer: -1, 5, 620","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve d - 1 = -334*p + 337*p, -5*p - 9 = 2*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 375254286 a multiple of 3918?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 16718 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 9932 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: What is (0 - (-6 + 3)) + (-22 - -5)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hh when two letters picked without replacement from qsnshsqqsshhn?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -67 - -81. Let y = 31 - d. Suppose y*o + 216 = 20*o. Is 8 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (6\/(-9))\/(2\/(-21)). Let t be 2\/u*(2 - 3). Which is the nearest to t?  (a) -0.1  (b) 0  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = t**3 - 16*t**2 + 2*t - 17. Calculate d(16).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) be the first derivative of q**3 - q**2\/2 + 7*q + 48. Is k(15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 - 6 = -3*d, -2*s - 4*d + 22 = 0. Let r be (13 - s) + (16\/2)\/(-2). Solve 2*j + 2*x + 1 = 7, r = 5*j + x + 5 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 51 a factor of 9427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 0.3 times -1.068\nAnswer: -0.3204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) be the third derivative of 0 + j**2 + 5\/12*j**4 + 0*j + 11\/6*j**3 + 1\/60*j**5. What are the prime factors of u(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-166 + 166 - 35*t)*(-3*t - t + 3*t)*(4*t - 2*t + t).\nAnswer: 105*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 8066 divide 120489908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2497ac (base 14) to base 4.\nAnswer: -10302201230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.03 + 0.19. Let c = v - -0.84. Sort 5, 3, c.\nAnswer: c, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -130*l - 133*l - 1 + 290*l to the form r*l + a and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -79292, -79294, -79298, -79304, -79312, -79322, -79334?\nAnswer: -79348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find i, given that 12*i**4 - 357*i**3 + 906*i**2 - 399*i - 162 = 0.\nAnswer: -1\/4, 1, 2, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 25 + 25 = 4*i, 2*p - 20 = -2*i. Solve 0 = 4*s + 2*d + 25 - 7, i = s - 5*d for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 34\/5 of a decade in years?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (17143\/(-948))\/(-217)*-1*4\/(-8)*15?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -5 + 5.15. Let o = 0.33 - v. Let j = -0.180014 + o. What is j rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -95\/188 and 83\/24.\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 37*u - 41*u + 2 = -v, 0 = -2*u - 4*v - 8 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -9*c - 26. What is the remainder when 258 is divided by f(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-1)*h)**(31\/4)\/((h*h**1)\/h)**(-31) assuming h is positive.\nAnswer: h**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -7 + 54. Let f(t) = -25*t + 580. Let r be f(21). Are l and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 23 and 12167?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g = 3*g + 16622. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -393, 2\/5, 1\/12, 1\/7, -0.112, -0.4, 2\/7?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g - 53 = -3*b + 595, 0 = -5*b. Find s such that -g*s**2 - 235*s**2 - 35*s**2 + 1944*s**3 - 2916*s**4 + 32*s = 0.\nAnswer: 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 239309772 and 454194?\nAnswer: 2153787948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 5012*h + 75150. Calculate g(-15).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -b**2 - 6*b**3 + 5*b**3 - 60*b**3 - 261 + 79*b**3 to the form a*b + d + z*b**2 + u*b**3 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-66)\/(-18) + 2\/(-3). Suppose 2*j = -l*j + 445. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 8 - 5. Let x be (1 - 3 - o)*-1. Is 3 a factor of 13\/x - 14\/(-35)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/6)\/((-1140)\/6048*21 + 1*4).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = 36*a + 43. Let w(m) = 6*m + 2. What is -u(c) + 4*w(c)?\nAnswer: -12*c - 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*s = -11*s + 12. Let w(y) be the third derivative of y**2 + 0 + 0*y - 1\/8*y**s + 1\/20*y**5 + 0*y**3. Find r such that w(r) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 496 minutes after 12:46 PM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r, 1 w, and 2 x when four letters picked without replacement from wxxwwxrrrrwrrxrrxw?\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -t**3 - 7*t**2 + 2. Let u be k(-7). Suppose -108 = -3*o - u*r, -3*o - 5*r = o - 144. Is o a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1.226 + 26.774. Which is the closest to 0?  (a) -0.4  (b) d  (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*y**4\/3 + 2594155*y**3\/3 - 149548135675*y**2 + 25863901413666505*y\/3 - 51726008270458070\/3 = 0 for y.\nAnswer: 2, 172943","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 - 1 - -5) + -57 + 51?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -v + 5. Let r be ((-10)\/8)\/((-7)\/28). Let z be b(r). Let p = 1 - z. Which is smaller: p or 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1362 - 1370. Let o(c) = c**2 + 10*c + 27. Give o(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -a - 1 - 5. Is (-4)\/a - (-228)\/9 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11\/77*(2\/(-4))\/1.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -262, -492, -722?\nAnswer: -952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 6020 and 2796892.\nAnswer: 13984460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -0.03844*-3.7\nAnswer: 0.142228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -52671.67*3\nAnswer: -158015.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3120*j - 265927 - 158393 for j.\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 28314, 111882, 250698, 444756, 694050?\n\"Answer: -p**3 + 27630*p**2 + 685*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 840613 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand -16 + 16 + 4*b**5 + (-5*b**4 + 3*b**4 + 0*b**4)*(-2*b - b + 2*b) + 99*b**5 + 134*b**5 + 8*b**5.\nAnswer: 247*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 168 and 27408822?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -532613 (base 9) to base 7\nAnswer: -2456601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = 525*o. Let s be y(1). Suppose 8*x = 3*x - s. Find the common denominator of (66\/20)\/(14\/x) and 33\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -7 - -12. Suppose -109 = -s*x + 1. What is the least common multiple of x and 14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -88880824 divided by 116.\nAnswer: -766214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + s - 16 = 0, -4*s = -3*z - 2*z + 116. Suppose 4*o - 4 = 0, 2*x - 3*o - 15 = z. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -44906748.4 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -189115527, -189115526, -189115525?\n\"Answer: o - 189115528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = t + 4*v, -2*t - 4*v = -3*t - 12. Let h be 0\/(4\/(5 - t)). Is -7 - -31 - (h + 0) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 104642638?\nAnswer: 2, 52321319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 3835192567 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 3024530 (base 8) to base 2\nAnswer: 11000010100101011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 22830.\nAnswer: 2, 3, 5, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-168)\/21 + (213\/(-355) - 789\/(-15))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 594261.\nAnswer: 3, 66029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -70.51 + 75. Let c = g + -1.49. Sort -1, -0.5, 1, c in descending order.\nAnswer: c, 1, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 3 + -5 - (-4 - -1). Let v be m + 1 + 1 + 3. Is 13 a factor of ((-26)\/v)\/(1\/(-6))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 25*a**2 - 78*a**2 + 30*a**2 + 26*a**2 - 41 + 152 as h*a**2 + m*a + r and give r.\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 184712 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: Let q(h) = h**2 - 8*h + 8. Let f be q(11). Let t = 275 - f. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 4287*t - 4287*t + 1 - 11*t**2. Let s(r) = -r**3 + r**2 - 2*r + 1. Let f be s(1). Give m(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) 4  (b) 0  (c) -507  (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.020491028 + -1586.\nAnswer: -1586.020491028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -17 + -36 + 547 + -449\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s = 5*m - 0*m - 65, 3*s = -5*m - 115. Let p = 61 + s. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1\/6 - 8\/3. Find the common denominator of v and 11\/34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a*a**(4\/7)*a**(-3\/2)*a*(a**(1\/10)*a)\/(a\/a**(-7)) assuming a is positive.\nAnswer: a**(-204\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1496 - -1499.71. What is y rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = 4*x - 3820. Let k(g) = 2*g - 1907. Calculate 5*a(h) - 11*k(h).\nAnswer: -2*h + 1877","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o = -5*z + 8*o + 15, 4*z - 12 = -2*o. Solve -v + 4 = y - 3*y, -2*v = z*y - 1 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 5316*x - 4563. Is y(34) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000713 to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -85.541 times -238.5?\nAnswer: 20401.5285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1 = 4*v + 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35 = -2*p + 3*n, 4*n = -2*p + 4*p - 30. What are the prime factors of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 564 * -0.4.\nAnswer: -225.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*((1 + sqrt(343) + 0 - (sqrt(343) - (sqrt(343) - -4*(sqrt(343) + sqrt(343)*-3))))*-3 + -5))**2.\nAnswer: -84672*sqrt(7) + 5447772","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (1 + -2)*(-3 + 8). Suppose -4*z = 4*w + 16, 0 = -0*z + 3*z - 2*w - 8. Suppose 2*l = -4 - z. Sort l, 2, y in decreasing order.\nAnswer: 2, l, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -10 + 2 + k**2 - 4*k**2 + 1 wrt k.\nAnswer: -6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.1 and -1384.\nAnswer: -1384.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -80 - x + 80. Let h(v) = 11*v. Determine h(z(r)).\nAnswer: -11*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence djjd when four letters picked without replacement from {d: 2, j: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-2)\/5 + (-81)\/(-15). Let m = 21 - v. Solve -4*y = -0*y + 3*l + m, -5*y - 2*l = 20 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vir when three letters picked without replacement from rririaiaiivrirriii?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -71 = -l + 240. Suppose 138 = j - m, 5*j = 3*j - 5*m + l. Calculate the greatest common factor of j and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (-4*(-2 + sqrt(52))*-3)**2.\nAnswer: -1152*sqrt(13) + 8068","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 26572 (base 12) to base 14\nAnswer: 15286","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -240 take away 24587459686?\nAnswer: -24587459926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) be the third derivative of -3893*o**6\/120 - 8*o**5\/15 - o**4\/24 + o**3\/6 + 5537*o**2. What is the third derivative of v(q) wrt q?\nAnswer: -23358","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 10.9 + 0.1. Let t = 6 - r. Let p = t + 5.4. Which is the closest to -0.1?  (a) p  (b) 3  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-10*q**3 + 20*q**3 + 414*q**4 + 2*q**2 - 8*q**3)*(-2 + 1 + 2)*(6 - 6 + 6*q).\nAnswer: 2484*q**5 + 12*q**4 + 12*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -12598, 62, -1\/2 in decreasing order.\nAnswer: 62, -1\/2, -12598","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 21424 and 143.\nAnswer: 235664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -7*c**3 - 26*c - 68. Determine s(-4).\nAnswer: 484","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1\/232 - -7\/58. What is the closest to 2 in c, 0.2, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 427415 is divided by 142464.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -7551*v - 256622. Give i(-34).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*j - 9 = -3*k - 13*j, 2*k - 5*j = 6. List the prime factors of 11484\/27 + k\/(-9).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 598430 to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1159771350 - 1159771350 - 3*g.\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -78*p + 88 + 27 - 39 + 68. List the prime factors of l(-4).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*g + 1 + 2*g**3 - 4*g + 175*g**2 - 7*g - 178*g**2 to the form j*g + z*g**3 + d*g**2 + q and give j.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 99026?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -14548 - -14548.012518. What is w rounded to 3 dps?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -328*c**2. Let s(n) = -2*n - 2048. What is s(r(q))?\nAnswer: 656*q**2 - 2048","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 488*j + 121*j - 76*j = 13858 for j.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 22 + -11. Suppose 11 + a = c. Does 22 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -a**3 + 4*a**2 + 3*a - 11. Let n be l(2). Differentiate 34826*z**3 - 34895*z**n + 9 + 6 wrt z.\nAnswer: -207*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*g - 3*g + 8*g**3)*(-39*g - 21*g - g - 42*g - 16*g).\nAnswer: -952*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 24140\/21 or 1149?\nAnswer: 24140\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 58810.\nAnswer: 2, 5, 5881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -0.4, 130143384 in descending order.\nAnswer: 130143384, 1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 1968053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2.1 - -10.1. Let l = -1955.2 - -1955.1. Sort 7, q, l in decreasing order.\nAnswer: q, 7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3\/19 or 32996?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 2*w**2. Let a(r) = 6*r - 3540. Let y(p) = 2*p - 1779. Let h(u) = -2*a(u) + 5*y(u). What is h(q(v))?\nAnswer: -4*v**2 - 1815","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -p**3 + 2*p**2 + 5*p - 3. Suppose l - 11 = -5*o, 0*l - 5*l = -2*o + 26. Calculate s(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -210*v**2 + 2*v - 1 + 1 + 654*v**2 - 193*v**2 - 239*v**2. Let b(n) = 13*n**2. Let i(o) = 7*o**2. Let w(s) = 4*b(s) - 7*i(s). Determine q(w(u)).\nAnswer: 108*u**4 + 6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.095, -2\/15, 1\/124, 4 in descending order.\nAnswer: 4, 1\/124, -0.095, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -3518, 8, -5, -4, -2 in decreasing order.\nAnswer: 8, -2, -4, -5, -3518","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 710.8 rounded to 0 dps?\nAnswer: 711","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 86 + -62. Calculate the greatest common divisor of 264 and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -0.1  (b) 0.4  (c) -2  (d) -1089\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Do 6057 and 6058 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 632273 (base 11) to base 3.\nAnswer: 1220110212102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 8444\/15521 + 2\/1411. What is the fourth biggest value in -3, 0.5, m, 1\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -63\/220 and -79\/1990.\nAnswer: 43780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -105 + 104.7. Sort f, -2\/45, 0.4, 4\/9 in descending order.\nAnswer: 4\/9, 0.4, -2\/45, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 547417, 2189652, 4926709, 8758588, 13685289, 19706812?\nAnswer: 26823157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3158047821?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-4*c + 0*c + 2*c)*(-3*c + 4*c - 2*c) + 2*c**2 - 2*c**2 + c**2)*(2 + 2 - 7).\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.01307 times -0.06?\nAnswer: 0.0007842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*v = -n + 5, -14*v - 5*n + 25 = -15*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + (-5 + 13 + 3 - 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = n**3 + 20*n**2 - 2*n - 549. Let k be t(-14). Calculate the greatest common factor of 25 and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(125) - (sqrt(125) + sqrt(125) + sqrt(125) + 2*sqrt(125)*-5)) + sqrt(125) + -2*(sqrt(125) + sqrt(125) + 2 + sqrt(125) - sqrt(125)))**2.\nAnswer: -200*sqrt(5) + 3141","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -2*z**2. Let k = 19 - 11. Let o be (28\/(-12))\/(-1) - (-4)\/6. Let a(x) = -k + o*x - 2*x + 8. What is m(a(s))?\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 divided by -150?\nAnswer: 1\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -268*d - 13392 = 476*d - 475*d + 7590 for d.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 18*p + 597. Let n be g(-33). Suppose 2*r - 3*r - 2*f - 2 = 0, -2*f = 2. Solve -n*v - 5 = 2*t, v - 15 = -4*t - r for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 150 + -34. Is 7 a factor of h + 6\/((3\/(-2))\/1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -8*f. Let r be h(-3). Suppose r = 4*j - 2*c, -2*j + 12 = j - 3*c. Solve -g - g = -j for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h**(-2\/3))**(-24))**(-21\/4))**(-3\/13) assuming h is positive.\nAnswer: h**(252\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 20\/5051?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1783?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -k**2 - 7*k. Let f be g(-7). What is the tens digit of 3 - (-57 + (0 - f))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 149 divided by -142.\nAnswer: -149\/142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3674 is divided by 53?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {n: 3, s: 5, z: 1, p: 2, m: 1}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2863 is divided by 735.\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 238 - 602 = 9*m - 310 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6473?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -5*h**3 + 12*h**2 + 72*h + 5. Is p(-7) a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ttllttatlttttttllt. What is prob of picking 1 l, 1 t, and 1 a?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 4*a*m**3*n - 4*a*m**3 + a*n + 44*a + 3*m**3*n + 144*m**3 + m**2*n + 4*n wrt m?\nAnswer: 24*a*n - 24*a + 18*n + 864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/a**(1\/2))**(17\/3)*a**5*(a\/(a\/a**(2\/3)))\/a assuming a is positive.\nAnswer: a**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 31\/108 and ((-3)\/(-18))\/(-13 + 2328\/204).\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -113, -239, -365, -491, -617?\nAnswer: -743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 488, 515, 590, 737, 980, 1343?\nAnswer: 1850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = y**3 + 4*y**2 - y - 1. What are the prime factors of r(2)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00349155 to four dps.\nAnswer: 0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 254197.\nAnswer: 254197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 1, z: 6, n: 5, k: 3, q: 2}. Give prob of sequence akqk.\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -43*d + 129 + 172 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (406\/2030)\/((-4)\/(-50)*(-1)\/(-2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 176 - 176 - (-2 - -9)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-b**3 - 4*b**3 + 2*b**3)*(8 - 1 + 1) + (1 - 1 - b)*(0*b**2 - b**2 + 0*b**2).\nAnswer: -23*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 3445 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 256 + 2?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 840 and 20.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 66132 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 285 = -2*g. Suppose x = -3*t + g, -5 + 2 = 3*x. Is t a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (sqrt(2) - (sqrt(2) + ((5*(-1 + sqrt(2)))**2 - sqrt(2))) - (6*sqrt(4)\/sqrt(2))**2).\nAnswer: -145 + 51*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f - 3*d = d + 16, -12 = -3*f - d. Suppose -4*s + 4*y + y + 252 = 0, -63 = -s + 5*y. Suppose -s = h - f*h. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-27)\/(-36) - 1438\/8. What is w rounded to the nearest ten?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -2*h**2 - 8*h. Let t(i) = -2*i**2 - 8*i. Let r(x) = -2*x**3 + 46*x**2 - 43*x - 27. Let q be r(22). Calculate q*t(g) + 6*v(g).\nAnswer: -2*g**2 - 8*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 8*q**2 - 6*q + 27. Let p(c) = -5*c**2 + 4*c - 19. Let j(g) = 7*p(g) + 5*v(g). What is j(2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 875*-121\nAnswer: -105875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wxgx when four letters picked without replacement from {v: 2, g: 3, w: 5, x: 9}.\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1224*f**5 + 352*f wrt f.\nAnswer: 24480*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1546 or 2.747?\nAnswer: -1546","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3969553, -3969554, -3969555, -3969556, -3969557?\nAnswer: -3969558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -f. Let p be (-112)\/10 - 4\/(-20). What is the tens digit of g(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + (sqrt(19) + (-2*sqrt(304) - sqrt(304)))*-4*3)**2.\nAnswer: 1056*sqrt(19) + 331072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (8 - 10)*(-122)\/4.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 149 + (12\/10 - (-8 + 369\/45)). Solve 3*j + q - 141 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 105878077 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -43 (base 5) in base 10?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.43214 + 46.59914. Let d = 46 - i. What is d rounded to 2 dps?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -0.3, 4, -10?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-11)\/(-3))\/(((-39)\/130)\/((-324)\/90)).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + 50 = 5*y, 2*i - 6 + 2 = 2*y. What are the prime factors of i\/4*(-80)\/(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -44414, -88818, -133224, -177632, -222042, -266454?\n\"Answer: -l**2 - 44401*l - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cccccccccccqccccccc. What is prob of picking 1 q and 2 c?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 81\/6*(8 - ((-500)\/(-30) + -10))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2750981 to the power of 1\/2, to the nearest integer?\nAnswer: 1659","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -2666, 74, 14\/3 in descending order.\nAnswer: 74, 14\/3, 1, -2666","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -111, -213, -309, -399, -483?\nAnswer: -561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/4 in -602, 19, 0.44?\nAnswer: 0.44","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h = h + 51. Let c = 30 + h. Suppose s = 4*f + 38, -4*f - 114 = -3*s - f. Calculate the remainder when s is divided by c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 59618?\nAnswer: 2, 13, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y - 3*p - p + 10 = 0, -4*y - 10 = -2*p. Let u = y + 2. Put 3, u, -5 in decreasing order.\nAnswer: 3, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -36, 2751, 4, -20, 1.\nAnswer: -36, -20, 1, 3, 4, 2751","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -201*u + 137. What is the hundreds digit of h(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + 1 + (867 - 855).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of -3407962 and -0.5.\nAnswer: 1703981","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 29523 and 23634?\nAnswer: 17890938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sum -9.2 and 0.373972.\nAnswer: -8.826028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 988\/38 + (152\/57)\/(2\/(-6))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1430)\/572)\/(4\/((-48)\/45)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 63081*d**5*j*y - 3*d**3*j**3 + d**2*j**3 + d*j**3 + 3*d*j**2*y - 3703*d*j*y + j**3 wrt d?\nAnswer: 3784860*d**2*j*y - 18*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1001101110111110001 - -1001?\nAnswer: 1001101110111111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 113 - 10. What is the second derivative of -103*m**3 + m**5 + h*m**3 - 4*m**5 - 12*m wrt m?\nAnswer: -60*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 - a)*(-3 - 3 + 5) + 0*a + 2 + a + 0.\nAnswer: 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 648, 2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 21*z**4 - z**4 + 894*z**2 - 923*z**2 wrt z?\nAnswer: 480*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 5\/(10\/(-6)) - -6. Solve 10 = -4*t + z, x*t + z = -z - 13 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -v**2 - 48*v + 100. Let m be l(-50). What is the closest to m in 2\/21, 0.2, -3?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vq when two letters picked without replacement from fqfffqfccqffzqfqv?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*c**4 - 2*c**3 - 3*c**2 + 2 - 3*c**2 + 8*c**2 as k*c**2 + i + t*c**4 + h*c + w*c**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -2755993 divided by 88903\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 125 divide 912376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 681293 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -1644.6353 - 0.01456\nAnswer: -1644.64986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Add 20 and 4166420459390.\nAnswer: 4166420459410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -55*l**3 - 2*l**2 - 6*l - 4. Let m(z) = 165*z**3 + 6*z**2 + 19*z + 13. Let n(a) = 3*m(a) + 8*q(a). Find the second derivative of n(k) wrt k.\nAnswer: 330*k + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(4\/5)\/m*m*m*m*m**(-3\/7)*m)\/(m\/(m\/m**5))**(2\/37) assuming m is positive.\nAnswer: m**(4016\/1295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-202)\/(-10) - (-3)\/(-15). Suppose 5*z + t - 20 = -9, -5*t = w. Solve c = -z*p - 2*c - 12, -2*c - 8 = 4*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/8 of a millisecond in microseconds?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0619 - -16010?\nAnswer: 16009.9381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 10, -3, -9600, 2, 3 in ascending order.\nAnswer: -9600, -3, 2, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 670 minutes after 4:39 AM?\nAnswer: 3:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 311307903?\nAnswer: 3, 34589767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 22603.729 to the nearest 1000.\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (-244)\/(-26) - -246*117\/(-20787)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -86.54873 + 86.919. Let p = l - 0.3939. What is p rounded to 3 dps?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -2*y. Let i(b) = -1 + 4*b + 1. Let x(v) = -3*v. Let n(f) = 4*f. Let l(h) = 2*n(h) + 3*x(h). Let o(p) = i(p) + 5*l(p). Determine o(m(k)).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 3, k: 15}. Give prob of picking 3 f and 1 k.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 26092 and 853327.\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 21091896 and 264.\nAnswer: 232010856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 561*a**4 - 392. Let v(t) = -560*t**4 + 392. Let c(x) = -3*v(x) - 2*w(x). Find the first derivative of c(h) wrt h.\nAnswer: 2232*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*a = 11*a + 11. Let s = a + 13. Solve -v + 2 = -5*b, -3*v + 8*v + s*b - 10 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-1)\/(-8))\/((((-263925)\/700)\/(-69))\/(6\/7))\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (0 - (-2)\/(-12))*(-6 + 7). What is the closest to 0 in -3, -2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 36, -293, -4, -77, 4, 3 in descending order.\nAnswer: 36, 4, 3, -2, -4, -77, -293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:49 PM and 9:21 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -2*v**2 - 4. Let n(s) = -3*s**2 + s - 9. What is 2*n(k) - 5*q(k)?\nAnswer: 4*k**2 + 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-six fifths of a week in minutes?\nAnswer: 52416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2017*d - 2036*d + 646 = 0. Solve -2*p = 22 - d for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-7 - (-5 + -3)) + -5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = n**3 - 12*n**2 - 13*n. Let x be u(13). Suppose i + 2*i - 42 = x. Calculate the remainder when 41 is divided by i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t*t**(3\/14))\/t)\/t)**(10\/7)\/((t*t**(3\/13))\/t**(-4\/13)) assuming t is positive.\nAnswer: t**(-1695\/637)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23534 = -8*o + 28*o + 118*o - 14840 for o.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*p - 66 = 22*j - 17*j, 0 = p - 5*j - 3 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = 4*i + 24*a - 21*a, 2*i = 2*a + 22. Solve j + i = -4*r + 3, 4*j = 4*r - 16 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -112 - -170. Let j = o + -33. Calculate the remainder when j is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 199 is divided by 55?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 559592 smaller than 559592?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -131 = -5*l - 2*f + 131, -290 = -5*l + 5*f. Suppose -g + 11 = -l. Calculate the greatest common divisor of g and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2737 + -3891. Is b greater than -1154?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 47 - 27. Suppose 0 = 8*p - 4*p - n. Let a(b) = 2*b + 4. Calculate a(p).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -61*a + a - 343*a + 16260 = 410*a for a.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -22*m + 131313 + 374247. What is the ten thousands digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j = -135 - 133. Suppose -j = -2*f + 29. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b + 11 = 4*s + s, -b + 3*s = 8. Let p be -1 + 195 + (-2)\/b. Let m = 287 + p. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 112*a**2 - 39*a - 115*a**2 + 33 + a. Let f be b(-13). Calculate the greatest common factor of f and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1729 - 1722. Solve -3*f = d + k, -59*f = -55*f + d + 10 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 181 + -179. Suppose 0 = -9*z - 79 - y. Put z, 4, -6 in ascending order.\nAnswer: z, -6, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28*x + 167 - 139 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -4*g**3 - 2*g**2 - g. Let k(i) = 4*i**2 + 17*i + 4. Let f be k(-8). Let p = 136 - f. What is the remainder when x(-2) is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -277156000 to the nearest 100000.\nAnswer: -277200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 - 6*l - 63\/2*l**3 - 36*l**2 + 147\/2*l**4.\nAnswer: 3*l*(l - 1)*(7*l + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 1 k when two letters picked without replacement from {z: 2, x: 6, k: 2, s: 1}?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + 100 = 2*p, 4*i + 5*p = 2 + 129. Let u(m) = m**3 - 6*m**2 + 8*m - 4. Let y be u(5). Let c = i - y. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/17, -0.4, 288, 2\/7.\nAnswer: -0.4, -2\/17, 2\/7, 288","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 12*2*3\/(-9). Let x(h) = -h - 6. Let z be x(y). Determine u, given that u**2 + 5*u - u + z - 2*u - 1 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 32266, 32146, 32024, 31900, 31774, 31646, 31516?\n\"Answer: -n**2 - 117*n + 32384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -18 + 10. Let q = m - -3. Is q bigger than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.162 - -0.062. Sort 1\/3, 0, t in increasing order.\nAnswer: t, 0, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000263244185 rounded to six dps?\nAnswer: -0.000263","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -45*o**3 + 7*o + 10. Let a(u) = -23*u**3 + 3*u + 4. Calculate -10*a(r) + 4*z(r).\nAnswer: 50*r**3 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -63*d - 367*d - 235*d - 8645 = 0 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 4, 19, -94 in ascending order.\nAnswer: -94, -4, 4, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 16566\/(-342364) - 8119\/62?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.08?  (a) -1.31  (b) -5  (c) 1608  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = 3*s**4 + 9*s**3 + 9*s**2 + 3*s - 2. Let j(a) = a**3 - a + 2. Let z(h) = 4*j(h) + 4*q(h). Factor z(y).\nAnswer: 4*y*(y + 1)*(y + 2)*(3*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -447668 divided by 1?\nAnswer: -447668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-2)\/1376*(-760)\/(-32). Let p = 7\/86 + j. Let m = -241\/320 - p. Which is smaller: -2 or m?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 117041, 234062, 351083, 468104, 585125?\n\"Answer: 117021*q + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 787*n = 8 + 56656 for n.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -f**3 - 20*f**2 + 14*f + 51. What are the prime factors of v(-21)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -0.07, -29535, -11?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 = -n + 9. Let q = n + 169\/8. Which is smaller: -1\/4 or q?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 1 y when two letters picked without replacement from rsssaysaaiaysssssy.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (10 - 4 - 7) + 0 + -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 10 = 8. Suppose 0*q = 3*x - 3*q - 54, 0 = 5*x - v*q - 90. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -426 = 7*r - 447. What is the greatest common divisor of r and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (39 - -1) + 129\/3225*200?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = r**2 + 24*r - 37. Calculate t(-26).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2509073?\nAnswer: 7, 53, 6763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*h**3*m**2 + 3*h**3*u**2 - 10*h**2*m**3*u + 1007744*h*m**3*u**2 - h*m - 9*h*u + 54*m**3 wrt u.\nAnswer: 6*h**3 + 2015488*h*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1932910.\nAnswer: 2, 5, 7, 53, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*u - 4*u + 5*u)*(0 - 1 + 0) - 7*u + 141 - 141.\nAnswer: -10*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -3661, -19526, -35391, -51256, -67121, -82986?\n\"Answer: -15865*t + 12204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 10) to base 2\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from eggeggeeeeggg. Give prob of sequence eggg.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5 - (-94 + (37 - 12))) + 0.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 8 in 0.4, -0.2, 0.00867, -4, 0.06, -0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7063?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1178 by -2.\nAnswer: 589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 8384 and 16?\nAnswer: 8384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Product of -4 and -0.1808.\nAnswer: 0.7232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -4745705 - 2?\nAnswer: -4745707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 196765.\nAnswer: 5, 23, 29, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 3192 and 25004.\nAnswer: 150024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2425 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 543 minutes after 9:04 PM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-8)\/6)\/(8\/(-6)). Suppose 4*d - a = -25. Let w(q) = -q**3 - 7*q**2 + 7*q. Let k(t) = -t**3 - 6*t**2 + 6*t. What is d*k(p) + 5*w(p)?\nAnswer: p**3 + p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -41.984 + 42. Let a = -0.116 + h. Let x = -3.05 + 0.05. What is the nearest to 4 in a, x, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(2\/11)*y)\/y**2*y*y**(-2\/7)*y\/y**(3\/4) assuming y is positive.\nAnswer: y**(45\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let 18\/7*s**4 + 0 + 4\/7*s**3 + 0*s - 36\/7*s**5 + 0*s**2 = 0. Calculate s.\nAnswer: -1\/6, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*l**2 + 54788*l + 23716560 = 0 for l.\nAnswer: -420, 14117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 333, 413, 493, 573?\n\"Answer: 80*o + 253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*u**2 - u**2 + 0*u**2)*(-3 + 9 - 2)*(-2*u + u + 4*u).\nAnswer: -12*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 14*s. Let b(g) = 11 + 0 + 5*g + 2*g - 10 - 3*g. Calculate b(c(z)).\nAnswer: 56*z + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -5*f**3 - 2*f**2. Let w be -4 - 1 - (-13 - -2). Let h(v) = -4*v**3 - 3*v**2. Calculate w*h(a) - 5*y(a).\nAnswer: a**3 - 8*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -31, -36, -41, -46, -51, -56?\n\"Answer: -5*v - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -134635208, -269270422, -403905636, -538540850, -673176064, -807811278?\n\"Answer: -134635214*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*q = 4*x + 32, 4*x + 14 = 2*q + 7*x for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3 + -3.2. Let j be (1 + -1 - 1\/2)\/(-1). Which is the nearest to -0.3?  (a) 0.1  (b) j  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2903*w + 1582*w - 4024*w.\nAnswer: -5345*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 170648.\nAnswer: 2, 83, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 775 - -3.\nAnswer: 778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5843.307ml to litres.\nAnswer: 5.843307","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3\/28 in -2, -2\/3, 4\/17, 2.54?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) be the first derivative of 1\/2*y**2 + 1 + 1\/2*y + 1\/6*y**3. Find b such that q(b) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 9993201*j**2*y + 3*j*y + 2*j + 140520*y wrt j.\nAnswer: 19986402*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 30192 from 0.1.\nAnswer: -30191.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 18 + 2 + 104 + -115?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 823 is divided by 317?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 1870 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1\/((12\/21)\/4). Let x(k) = -k**3 + 8*k**2 - 3*k + 8. Does 12 divide x(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 121 + -39. Let s = v - 83. Sort -3\/4, s, -0.4, 2\/13.\nAnswer: s, -3\/4, -0.4, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 68530 and 16.\nAnswer: 548240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 20 - (4 + 4) - 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t*t*t\/(t**0*t))\/t)**(8\/5)*(t\/(t\/((t**4*t*t)\/t)))\/t*t\/t**1)\/(((t*t\/(t\/(t*t**0)))\/(t**1*t))\/(t*t**(-2\/7)*t)**(2\/81)) assuming t is positive.\nAnswer: t**(5332\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 9 + -755046?\nAnswer: -755038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 6*s - 30, -86711*v + 86712*v - 29 = -2*s for v.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:05 AM and 8:24 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-155*q + 143*q - 229*q)*(0 + 0 + 2*q).\nAnswer: -482*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = d**2 - 8*d + 5. Does 7 divide i(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -5043, -20179, -45397, -80691, -126055, -181483, -246969?\nAnswer: -322507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -10 + 12. Suppose -3*r + 30 = v*r - 5*q, -q = -5*r + 10. Let j = r - -3. Solve j*s + 20 = 0, -5*k - 15 = -0*s - s for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (112\/(-3234))\/((-44)\/(-33))?\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 67 divide 300628526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 2*h - 2. Let y be k(2). Let o(d) = -1 + d - y*d - d. Is o(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -149453, -298906, -448359, -597812, -747265, -896718?\nAnswer: -1046171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -49*r + 45*r - 5*a + 3 = 0, 2*r + 9 = a for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 734*r**4 - r**3*s - 5*r**3 + 2*r**2 - 2*r*s - 4*r - 1139 wrt r?\nAnswer: 8808*r**2 - 6*r*s - 30*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 130268491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n = -2*z + 4, -z + 8 = 4*n - 0. Suppose -n = -2*a + 11. Suppose -35 = -11*x - 68. Sort -1, a, x in decreasing order.\nAnswer: a, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -784 - -3919\/5. What is the second smallest value in 2\/3, -23, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1249308 to the power of 1\/2, to the nearest integer?\nAnswer: 1118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-6 - -1)*(7 + -8). Suppose -u*f = -91 + 1. Solve -11*x = -17*x + f for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -3 + 339\/84 + (-20)\/70. What is the closest to -0.2 in -3, 4\/3, w, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 156877409057 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/10, -2, -5, 95, -13, 2\/13 in ascending order.\nAnswer: -13, -5, -2, 1\/10, 2\/13, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/5, -0.06, 7\/148 in decreasing order.\nAnswer: 7\/148, -0.06, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = l. Let v be f(0). Let j be (3 - (5 + -3))\/1. Let s(h) = -2*h**2 + h - 1. Let x be s(j). Which is greater: v or x?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28 = k - 5*w, 4*k - 5*w = -k + 20 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -h - 12. Let a = h - -10. Does 23 divide (a\/(-15))\/(1\/189)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 33 - 23. Let q(j) = -j**3 + 9*j**2 + 12*j - 15. Let a be q(l). Put 2, -1, a, 4 in descending order.\nAnswer: a, 4, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 263 - 259. Let g(i) = 2*i**2 - 9*i**2 + 11*i**2 - j*i. Let r(x) = -x. What is -g(b) + 4*r(b)?\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1149339 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20690 is divided by 2954.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 16*s - 61 - 19. Suppose -3*t = 13*q - 16*q - 378, s*t - 622 = -3*q. What is the remainder when t is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 128571 + 25386 = 57*d. What are the prime factors of d?\nAnswer: 37, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17618*i**2 + 17618*i**2 - i**3 - 12*i**3.\nAnswer: -13*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m = m. Let x(r) = 5*r - 4*r + 5*r - 5*r - 1. Let i be x(m). Let l(c) = -c**2 + 1. Calculate l(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 - (-1 - 8 - (14 + 18 + -34))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -289 - -107. Let w = h - -185. Solve -2*u = u - w for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00006860075746 to five dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (c + 0*c + 0*c + 2)*(-9 - 10 + 10)*(2 - 4 + 11).\nAnswer: -81*c - 162","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = o. Let y(q) = -2 + 3 + 4*q - 12. Let h(p) = 5*j(p) - y(p). Calculate h(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7 + -2 - (-17 - -22) - (-7 + 10).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q + 4*t - 10 = 5*q, 5*t = -q + 17. Let z(y) = 13 - 8 - 10*y**q - 9. Let p(n) = 11*n**2 + 5. Give -5*p(k) - 6*z(k).\nAnswer: 5*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*l - 10 + 0*l + 100 - l**2 + 30 to the form o*l + w*l**2 + h and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -13, -1, 0.01?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.07137 rounded to 3 decimal places?\nAnswer: -0.071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + 7 + -3 + -10 - 5?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -39447 - -77747. Is k a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 5 + 0)*(2*b**2 - 4*b**2 + 0*b**2) + 5*b**2 - 2*b**2 - b**2 + b**2 + 80 - 162 - 8*b + 84.\nAnswer: 9*b**2 - 8*b + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7274*y + z = 7269*y + 55, 4*y - z = -17 + 70 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -289 in 10.9, 7\/52, 2?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vrq when three letters picked without replacement from qqqrrqziqrav.\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor 127*k**2 - 1162687*k + 18310.\nAnswer: (k - 9155)*(127*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 17 - 10. Suppose -10*h + 344 = 94. What is the remainder when h + -15 + (-2 + 4 - 0) is divided by g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 175946\/21 equal to 8379?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -3*y. Let t be 4*2*(-1)\/(-4). Let b be i(t). Calculate the remainder when (111\/(-9))\/(2\/b) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 117\/27 + 2\/(-6). Sort h, -1\/3, 0.4 in ascending order.\nAnswer: -1\/3, 0.4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -16422 (base 8) to base 15.\nAnswer: -2312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -585 - -537.7. Let t = r + 47. Is t at least 0.07?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (1280\/(-25))\/((-56)\/8120).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine c, given that 8\/3*c**2 - 50\/3*c + 4 = 0.\nAnswer: 1\/4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = r**4 - 3*r + 3. Let s(j) = 2*j**4 - 2*j + 4. Let i(w) = 3*s(w) - 4*x(w). What is the second derivative of i(l) wrt l?\nAnswer: 24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 110263 < 110263?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2 + -5. Calculate the least common multiple of 20 and -8*(n + 2) - -2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.8 and 220871.\nAnswer: -176696.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.4, 72, -1\/2, -1\/8?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -7, 70, 1, -3605 in descending order.\nAnswer: 70, 1, -7, -3605","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.30000246 + -0.3. What is c rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 20 - 23 - (-2 + -1 + 0). Solve 3*j + 11 + 1 = k for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -21*v**2 + 42*v**2 - 15*v**2 - 2*v**3 to i + z*v**2 + h*v + n*v**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) be the second derivative of b**5\/20 - b**4\/6 - 2*b**3\/3 + 4*b**2 - 24*b. Find u such that s(u) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - 5 - 5 - -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1561870657?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16057 is divided by 3982?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -3 + 31\/36 + 67\/(-603)\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-69*p + 57*p + 85*p)*(-2 + p + 2)*(0*p**2 + 30*p**2 + 36*p**2) in the form x*p**4 + s*p**2 + y*p + f*p**3 + o and give x.\nAnswer: 4818","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3 + 2.98. Let k = j - -0.02. Let m = -95 - -94.9. Which is the closest to -2\/7?  (a) k  (b) m  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 37887726 a multiple of 1821?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 2260*u + 55. Let z(m) = 174*m + 4. Determine 3*w(y) - 40*z(y).\nAnswer: -180*y + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -41.57 rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 12797 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -13*k**2 + 14*k - 10. Let f(m) = 7*m**2 - 7*m + 5. Let j(g) = 11*f(g) + 6*i(g). Let d be j(5). Solve d*v - 35 + 5 = 5*a, -2*a = 4*v - 6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (11 - 4) + (0 - (1 + 1))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 42*u**3 - 13*u**3 - 15*u**3.\nAnswer: 14*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 61*s + 147*s - 21*s to the form h + r*s and give r.\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -3*l**2. Suppose 0 = -k - 2*k + 6. Let n(x) = x. Let m(t) = 4*t + 3*t - 6*t. Let w(y) = k*m(y) - 3*n(y). Calculate w(c(a)).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: ((-3914)\/(-57))\/(6*((-5)\/45)\/(-1))\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:47 AM and 10:35 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Do -78 and -2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.5866925 decades to months.\nAnswer: 70.4031","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (0 - (-2)\/(-4))*2. Let o(g) = -g**3 - g**2 - g - 1. Suppose 62*l - 680 = -5*l - 747. Let y(i) = i**2 + i + 1. Calculate h*o(m) + l*y(m).\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 5709217 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 60192 and 552.\nAnswer: 1384416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/((y\/(y\/(y*y**10)))\/y)*y\/(y\/y**(-2))*y**(-1)*y*y\/(((y\/(y*y\/(y\/(y**(-1\/2)*y)))*y*y)\/y*y)\/y))**(-5\/6) assuming y is positive.\nAnswer: y**(35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 458 + -283. Let s(n) = n**3 - n. Let r be s(0). Suppose -c + g - 26 = r. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**(-14\/5)\/x*x*x*x)**(7\/6)*x**(1\/2)\/(x*x**(4\/15)))**(-47) assuming x is positive.\nAnswer: x**(799\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (11\/66)\/(-2*(-7)\/(-21))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-12)\/(-21))\/((-6)\/21). Suppose 2*y - 75 = -3*y. Calculate the remainder when y is divided by (c\/(-6))\/((-8)\/(-48)) + 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = r**3 + 10*r**2 + 15*r - 5. Let m be a(-8). Suppose 107 + 163 = 2*g. Suppose -4*x - x + g = 0. Solve 4*q - 5*q - 4 = 0, -m*p - 3*q = x for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 428 + -422.75. Let y = 5.2658 - v. What is y rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2.4201816 times -0.4\nAnswer: 0.96807264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -19373, -48398, -96765, -164468, -251501?\n\"Answer: b**3 - 9677*b**2 - b - 9696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -548 = -4*m - 4*x - 0, 0 = -2*m - 5*x + 283. Let w(f) = 3*f - 186. What is the remainder when m is divided by w(71)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = w**2 - w + 1. Let x(y) = y**2 - y. Let v(q) = 7*q**2 - 10*q + 5. Let f(l) = v(l) - 2*x(l). What is -6*c(i) + f(i)?\nAnswer: -i**2 - 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (-2*sqrt(1088) + -1 + 0)**2 - (-4 + (3*1*sqrt(612) + (sqrt(612) - sqrt(612)*-2)*-1)**2).\nAnswer: 32*sqrt(17) + 4358","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 51499 is divided by 7347.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -68*c - 1147. Give a(-16).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -17\/10 - -3\/2. Suppose 0 = -4*k + 4*w - 3 - 65, w = -5*k - 55. Let d be 3\/2 + 2\/k. What is the nearest to 1\/2 in t, -5, d?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30372318 a multiple of 801?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -9*i + 4. Let m(z) = -2*z + 5. Determine 2*m(w) - 3*u(w).\nAnswer: 23*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 55, -950, -4, 2.3?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -518 - -961. Suppose 229 = t - q, -4*t = -6*t - 3*q + o. 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 smallest value in 0, -0.0729, 142?\nAnswer: -0.0729","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 44962, -4 in decreasing order.\nAnswer: 44962, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2\/9  (b) -1.119  (c) -11.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 181 < 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-4074)\/(-84) - (-1)\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11 + -5 - ((1 - 17) + 7 + 2).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (21 - 12) + (5 - 15)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -2.9 times 3\nAnswer: -8.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1278062537?\nAnswer: 41, 4597, 6781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 124\/15 - 23\/3. Let n(x) = x**3 - 3*x**2 - 5*x + 6. Let l be n(4). Is d > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2452497 is divided by 136.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1112 - 11?\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Determine r so that -5*r**4 - 8835*r**3 - 3790860*r**2 + 98954240*r - 626196480 = 0.\nAnswer: -896, 12, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2991235918 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/(-8))\/(28\/(-672))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3685 + -850. Does 21 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 56552681 to the nearest integer?\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) be the second derivative of -593*c**6\/15 - 1007*c**4\/12 - c**2\/2 + 965*c. What is the third derivative of s(p) wrt p?\nAnswer: -28464*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ehc when three letters picked without replacement from {h: 4, u: 1, c: 3, e: 3, f: 3, g: 2}?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in -2, 156, 8\/7?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 466 minutes after 9:39 PM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -315009 + 2205065\/7. Factor 0 + 0*n - o*n**5 + 2\/7*n**3 + 0*n**4 + 0*n**2.\nAnswer: -2*n**3*(n - 1)*(n + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 3*h - 36. Let z be k(11). Let t be (-16)\/((z - 2)\/(-10)). Let f = t - -27. Sort 0, 13, f, 3 in descending order.\nAnswer: 13, 3, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -8124 or -381859\/47?\nAnswer: -8124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1 - 0) + (-16)\/(-4). Let n(g) be the second derivative of g + 0*g**2 - 1\/20*g**4 + 3\/100*g**5 + 1\/50*g**6 - 1\/10*g**s + 0. Factor n(f).\nAnswer: 3*f*(f - 1)*(f + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -2*t**2 - 15*t + 56. Determine k(-22).\nAnswer: -582","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -26 + 43. Calculate the remainder when 66 is divided by z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 103 minutes before 2:45 PM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand 20*i - 25*i - 235*i + (3 - 7 + 2)*(-2*i + 1 - 1) + (4 + 0 + 3)*(-2*i - 2*i + i).\nAnswer: -257*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2801 * 0.4.\nAnswer: -1120.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1*(-2514)\/(-4)*(-106)\/(-159).\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/12152477 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = r**2 - 3*r + 1. Let b(f) = -39*f**2 + 20*f - 7. What is b(g) + 9*y(g)?\nAnswer: -30*g**2 - 7*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = h**2 - 6*h - 73. Let n be g(12). Let f = 43 - 647\/15. Which is smaller: f or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a meter in centimeters?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 - -6 - (47 - 45) - 12.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -8*a**3 + a**2 + 9*a + 9. Suppose t = -0*t + 2. Suppose 9 = -t*c + 27. Let u(d) = 2*d**3 - 2*d - 2. Calculate c*u(w) + 2*i(w).\nAnswer: 2*w**3 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 22995380.\nAnswer: 2, 5, 1149769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -575 + 519 = -7*i for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 6*j - 15 = 0, 112 = 5*h + j. Suppose 0 = 3*g - 4*k - h, 4*k - 9*k = -2*g + 6. Suppose o = g + 178. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*v**2 - v**2 - 4*v**2 + 5*v**2 to the form y + u*v**2 + l*v and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3555 = -4*u + 13*u. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 0 + 156*l - 3\/5*l**2 = 0. What is l?\nAnswer: 0, 260","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 0\/((-5)\/1) - (-6)\/2. What is the third derivative of 3*s**2 - 17*s**z + 296 - 296 wrt s?\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -70.3 and -0.0272435?\nAnswer: 1.91521805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-12)\/(-9)*(-129)\/1978.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 31.42348ug to kilograms.\nAnswer: 0.00000003142348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2.9 - -2.1. Let t = -6 - -9. Let b = t + -3. Sort -5, x, b in decreasing order.\nAnswer: x, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-112)\/(-84)*(441\/(-7))\/7?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -482 less than or equal to -885?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 - 1 + 0 + g + 4*g**2 + 1 as x*g + y + j*g**2 and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 59 divide 785?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v = 2*n - 140, 2*v - 22 = -3*n + 226. Is 20 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.63 or -0.012?\nAnswer: 0.63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 14839 and 2101?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (20\/(-25))\/((-6)\/15). Let u(w) = -2*w + 5*w + 5 - 4*w - v*w. Does 6 divide u(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 149*d - 12653 + 1432 = 180*d + 198*d for d.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: What comes next: -11075, -22064, -33053, -44042?\nAnswer: -55031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6)\/20*(-140)\/(-105).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/1*(486\/(-567))\/((-8)\/42).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 3 h when four letters picked without replacement from {h: 9, g: 2}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 9*l**3 + 37*l**2 + 136*l + 16. Determine j(-3).\nAnswer: -302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 76.465 rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -2*g**2 - 5*g - 3. Determine h(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2184*v - 1306*v = -188432 - 108218 for v.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: ((-2584)\/(-1938))\/((-2)\/3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3325 = 5*p - 4*m, 3*m - 1992 = 2*p + p. Let h = p + 357. Let w = -152 - h. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 39 and 481.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13256264 divided by -2.\nAnswer: -6628132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 358 a factor of 1452764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 9846 < 0.0724?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -5 - -15 - (5 + -5)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13370191?\nAnswer: 191, 70001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 534357 to the nearest ten thousand.\nAnswer: 530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -1105 * 5\nAnswer: -5525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 35733, 71464, 107195, 142926?\n\"Answer: 35731*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 685 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 376202.\nAnswer: 2, 137, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-7 - 1) + (80 - -74))*((-12)\/(-3))\/8.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = d**2 - 28*d - 147. Determine m(32).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w - 2*q + 990 = 230, -w - 3*q + 370 = 0. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 457, 866, 1285, 1720, 2177, 2662, 3181, 3740?\nAnswer: 4345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-6)\/(((-20)\/(-2016))\/5). What is the common denominator of -149\/24 and -1 - 7626\/z - 4\/14?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 8 - 3 - 7\/((-21)\/(-9)). Let n(x) be the second derivative of -z*x**2 - x**3 + x - 1\/12*x**4 + 0. Give n(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1100000100000 (base 2) to base 5\nAnswer: -144201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 65, -120610, 0.08 in decreasing order.\nAnswer: 65, 0.08, -120610","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-18 + (-2 - -2))*-1. Let y be 2\/(-11) + l\/(-22). Does y = 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) be the first derivative of -17*s**2\/2 + 9*s - 2. Let g(m) = 4*m - 2. Let n(y) = -9*g(y) - 2*u(y). Is n(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.183783 litres in millilitres?\nAnswer: 183.783","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0 + 0 - m**2 + (3*m**2 + 0 - 2 - 9*m**2)*(2 - 2 + 3).\nAnswer: -19*m**2 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 538 minutes before 7:35 PM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -k + 5. Let d be 3*(-1)\/(-3) + -6 + 7. Suppose -6*f - d = 10. Let q be -1 - 0 - f*5. What is a(q)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4747 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.0402, 5.562, -1\/5?\nAnswer: 5.562","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express 33*n + 3 + 18*n - 157*n - 3 in the form t + v*n and give v.\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1658.2 + -1658.199995644. Round q to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4 - -2) + 8 + -17?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*y - 10 - 14. Suppose -3*h = -5*t + 10, -3*t - 1 = -h - 3. Put y, 54, h in decreasing order.\nAnswer: 54, y, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = r + 0 + 4*r + 1. Let c(v) = 4*v. Let z(m) = 3*m. Let b(k) = 5*c(k) - 7*z(k). What is -3*b(l) - u(l)?\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -53 - -81. Let s be (-8)\/(16\/162) - (2 - 3). Let a be 2940\/s*16\/(-3). Calculate the highest common factor of a and j.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -2 and 28458815?\nAnswer: -56917630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 - 59432.\nAnswer: -59426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert -16235030 (base 7) to base 15.\nAnswer: -210b95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hspuspupncppphshhsph. Give prob of sequence sn.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 60 - 63 - ((-126)\/33 + 1).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-9)\/30*-5*2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 201794.\nAnswer: 2, 163, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p = 2*v + 8, -v + 6*v + 4*p - 22 = 0. Let z(b) = -6*b + 10*b - 5*b + b**2. Determine z(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1.4 - -9.4. Let m = -8.2 + i. Which is the second biggest value?  (a) m  (b) 5  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -148*s - 231*s + 598 + 906*s wrt s.\nAnswer: 527","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 2 = -0. Let s = 385440 + -385439.92. Which is the closest to -0.1?  (a) -4  (b) z  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -197002 - -196702.851. Let w = t - -299. Let u = -0.047 - w. Round u to two decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 297836 - 11871224?\nAnswer: -11573388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*u + 5*u - u)*(0 + 0 + 3*u)*(-2*u**2 + 3*u**2 + u**2) to the form y*u**4 + h*u**2 + d + l*u + z*u**3 and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-64)\/14*63\/(-45) + -7.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-3 + 1)*290\/116. Let k(d) = -d**2 - 3*d + 5. What is k(b)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -407 + 490. Find the first derivative of c*h - 88 + 165*h - 132 wrt h.\nAnswer: 248","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*r + 3 - 1 - 3 + (0 - 2 + 4)*(2*r + 0 + 0) + 4*r - 2*r - r)*(-5*r**2 + 2*r**2 + r**2) in the form o + p*r**2 + g*r + m*r**3 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -687*r - 194. Let u(a) = 4*a - 2. Let x(i) = q(i) + u(i). Differentiate x(f) with respect to f.\nAnswer: -683","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = 7*z**3 - 14 + 7*z - 4*z**4 - 1 + 2. Let w(y) = -2*y**4 + 3*y**3 + 3*y - 6. Let s(r) = -3*p(r) + 7*w(r). What is the first derivative of s(v) wrt v?\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:10 AM and 12:05 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.16327 and 9189.\nAnswer: -1500.28803","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (1\/2)\/((-2)\/104). Is 4023\/39 - (-4)\/x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in b + 84 + 93 - 177 + 21*b**2.\nAnswer: 21*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**(-2\/45)*y**(-3\/11)\/y*y*y assuming y is positive.\nAnswer: y**(338\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1043568 divided by -173928.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7*k - 2199 - 8*k + 6*k + 7*k to i*k + q and give q.\nAnswer: -2199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4\/7)\/(8\/(-56)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*s - 5*f - 19, f - 7 = -s + 2*f. Let q be s\/(-4)*(-42)\/7. Solve -q*p - 6 = -p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2 + -1. Let u = 71 + -68. What is the nearest to u in -3\/2, h, -2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -127 at least as big as -126?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*c - 34 = -49 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -1555*o + 7. Let v(n) = -2333*n + 11. Determine -8*d(u) + 5*v(u).\nAnswer: 775*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 84120 is divided by 21.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -317, -627, -937?\nAnswer: -1247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 less than -0.0206?\nAnswer: -6.0206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) be the third derivative of l**5\/60 + l**4\/12 + 19*l**3\/6 - 45*l**2. Let b be 78\/14 - 18\/(-42). What are the prime factors of v(b)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((u**(-8)\/u)\/u)\/u*u**(-4))**40*u**(-7)*u**(-3\/2)*u\/u**7*u*u\/((u*u**(-6\/5)*u*u*u)\/u*u)*u assuming u is positive.\nAnswer: u**(-6143\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 40384549 at most as big as 40384550?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is five sixths of a millennium in months?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(-1))**(-3\/13))**3 assuming l is positive.\nAnswer: l**(9\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express 247*t + 97 - 97 in the form z*t + i and give z.\nAnswer: 247","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*-1*sqrt(91) + 2*sqrt(91)*2)\/(sqrt(847)*-2 - (sqrt(448) + sqrt(448)*1 - sqrt(448)))*-3.\nAnswer: 7*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (13193 - 40768 - 9768 - 23095 - 625 - 33061)*(5*a - 2*a - 2*a) to the form y + s*a and give s.\nAnswer: -94124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 4 - 2. What is the greatest common divisor of 18 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**46*c)\/c**36 assuming c is positive.\nAnswer: c**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1344091, 1344201, 1344309, 1344415?\nAnswer: 1344519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 7460746 and 2238?\nAnswer: 746","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2943 + 3394. Suppose -5*h + 10 = -45. What is the greatest common divisor of h and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -26 + 4702*m + 11 + 19. Let a be w(-2). What is a rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m - 2*h + 5 = -41, -2*m - h = 52. Let i(j) = j**2 + 26*j + 28. Let y be i(m). Solve 3\/5*g + 6\/5 - 3\/5*g**y - 6\/5*g**2 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3242047788 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 45 and 495?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 699 divide 53730189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 1, y: 1, x: 1, z: 2}. Give prob of picking 1 k and 1 x.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 311564264 and 4.\nAnswer: 311564264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.1 + 0.1. Let q = 14 + -12. What is the closest to u in q, 3, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i**2\/4 - 41692*i - 166767\/4 = 0 for i.\nAnswer: -166767, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*w - 53 + 28 + 25.\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:01 PM and 5:39 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 47388815?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that -2*k**4\/3 + 26*k**3\/3 - 38*k**2 + 190*k\/3 - 100\/3 = 0.\nAnswer: 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -11*b**3 - 51*b - 5. Let t(u) = -5*u**3 - 25*u - 2. Let y(s) = -s**3 - 2*s**2 + 17*s + 32. Let o be y(-2). Give o*j(g) + 5*t(g).\nAnswer: -3*g**3 - 23*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xxooxggogxo. What is prob of picking 1 x, 1 g, and 2 o?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*y**2\/9 - 64*y\/9.\nAnswer: 2*y*(y - 32)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -5*l**2 + 562*l + 4054. Calculate v(-7).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -33, -196, -645, -1524, -2977, -5148, -8181?\nAnswer: -12220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/(((-8)\/4)\/2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 26 + (565 - 37)\/(-22). Factor 0 + 2\/13*l**w - 6\/13*l.\nAnswer: 2*l*(l - 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -291 or -290?\nAnswer: -290","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = 9*a + 18. Let h be l(-2). Solve -3*u + u = p + 10, 4*u + 16 = h for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (20 - 32) + (-3)\/(-2) + 1\/(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4698731 to the power of 1\/3, to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*i = 16*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 27270?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (-5 + (sqrt(343) + 3 - sqrt(343)) - (sqrt(1008) + (-3*sqrt(1008) - sqrt(1008)))*-2)**2*6.\nAnswer: 1728*sqrt(7) + 217753","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 2244 times 24\nAnswer: 53856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -10001110111101000 (base 2) to base 14\nAnswer: -1c960","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*-1*((sqrt(4608) - -1*sqrt(4608)*-5) + -4)**2.\nAnswer: -294976 - 6144*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 28 - 40 + 30 - 8*q**2 + 2*q**2.\nAnswer: -6*q**2 + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*f + 6 = -t, 232 = -5*t + 222 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15*t**2 + 52*t**2 - 435 - 10*t**2 + 44*t**2.\nAnswer: 101*t**2 - 435","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -3. Let m(f) = 4*f + 31. Let k(r) = -m(r) + 3*t(r). Calculate k(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 6 - 2*m - 6 - 4*m**2 in the form r + v*m**2 + l*m and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 48\/784*14*-7?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*s + 3*v - 69 = 0, -2450*s = -2450*s - v - 4 for s.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = u**2 - 10*u + 5. Let v be t(8). Let j(w) = -5*w + 1. Let n(f) = -f. Let h be -12 - -11 - -2*(-3)\/(-2). What is h*j(d) + v*n(d)?\nAnswer: d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 3*m + 4. Let w be f(1). Suppose -w = a - 11. Let s(g) = -g**2 + 5*g - 2*g + 1 - a*g. Let d(t) = t**3 + 3*t**2 + 3*t - 3. Calculate 5*d(k) + 15*s(k).\nAnswer: 5*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2371.\nAnswer: 2371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 22007 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 18136 and 337783.\nAnswer: 2267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + -3 + sqrt(7) + 4 - (1*sqrt(448) + -1)**2.\nAnswer: -443 + 17*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*v + 4*k + 52, 5*v - 50 = 4*k + k. Suppose -2*f - v = -0. What is f rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 540358368.\nAnswer: 2, 3, 11, 511703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -2.44 and 0.452.\nAnswer: -1.10288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -9*o + 316. Is i(-25) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000002816409 to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 237 is divided by 49.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 16.9 + -17. Let a = 2.3 + -6.3. What is the nearest to 0.5 in l, 2\/15, a?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2295 to the power of 1\/2, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3006*f - 5874*f - 2753*f.\nAnswer: -5621*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6636854 divided by 7.\nAnswer: 948122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -20*m + 68. What is a(11)?\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = 11*l**2 - 1. Let m(b) = -23*b**2 + 2. Let f(a) = -13*d(a) - 6*m(a). Give f(-2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 19455 - 19451. Let k = -0.5 + 0. Which is the nearest to 0.01?  (a) o  (b) k  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5433202 to the power of 1\/2, to the nearest integer?\nAnswer: 2331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.0459 + -1.1119. Let t = 0.156 + c. Let j = t - -0.910156. Round j to five decimal places.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 10 - 19. Let c = 9 - g. Is c a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 10 - 4. Suppose v + 3*b + 6 = 0, 3 = -3*v + 2*b - c*b. Suppose -3*w = 6, 5*w + 6 + 16 = v*k. Calculate the remainder when 6 is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 31835343415096 + 1?\nAnswer: 31835343415097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve i - 8 = -3*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 315324463 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i + 1 = -3*x, 0*x - 3*x + 3*i = -15. Let p = 2 + x. What is the units digit of (3 + -7)\/((-2)\/p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 250 minutes after 6:55 PM?\nAnswer: 11:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:37 AM and 2:30 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1054\/7 + -150. What is the fourth biggest value in -3, m, 5, -3\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-2\/9))**(-2\/39)*((j*j**(2\/3))\/j)**(-2\/3) assuming j is positive.\nAnswer: j**(-152\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 93921539.\nAnswer: 367, 255917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand -43*o**4 - 7*o**4 + 46*o**4 - 82*o**5 + (o**3 - 4*o**3 + 4*o**3)*(3*o**2 - 4*o**2 + 2*o**2).\nAnswer: -81*o**5 - 4*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.42 + 3.18. Let n = k + -4. Let v = -8 + 5. What is the biggest value in v, 0, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -a + 46. Let r be d(15). Let t = -151\/5 + r. What is o in t*o + 0 + 2*o**2 = 0?\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6815 is divided by 470.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(504)\/sqrt(9)*-5)\/(sqrt(112)*-4).\nAnswer: 5*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1850 - 1939. Which is the nearest to g?  (a) 0.2  (b) -4  (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 1, r: 13, j: 1}. Give prob of picking 1 r, 1 a, and 1 j.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3443402 is divided by 1232.\nAnswer: 1194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0007512 to 5 dps.\nAnswer: 0.00075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 102*3*43\/(-774).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -2*z. Let l be q(-7). Let i be l\/63 + 16\/9. Let g be 0 + i + 1 + 4. Solve -4*f = t - 25, 5*f = g*t - 2*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 77160\/23148*(-3)\/25?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 2 - 4)*(2 - 2 - w**5) + 42*w**2 + 226*w**5 + 29*w**2 - 74*w**2.\nAnswer: 229*w**5 - 3*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 7 - -97. Let w be (-3)\/1 + 24 - -5. What is the greatest common factor of u and w?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) be the second derivative of 0*k**2 + 1\/20*k**5 - 2\/9*k**3 + 6*k + 0*k**4 + 0 - 1\/90*k**6. Factor o(f).\nAnswer: -f*(f - 2)**2*(f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4221 divided by 9\nAnswer: 469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1051 is divided by 281.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = 84*n + 3113. Calculate y(-37).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 6253372176?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 1. Let a(b) = 15*b**2 - 6. What is -a(k) - 6*m(k)?\nAnswer: -15*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = y**3 - 2*y**2 + y + 2. Let n be a(2). Suppose -2*o + 1 = 3*k, k = n*o - 14 - 9. Let d = k + 11. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -47.88127896 + 49.981279. Let x = 2.1 - w. What is x rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*c + 24 = w, -2*w + 23 = -3*c - 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is s in -125*s**4\/2 - 221675*s**3\/2 + 25802595*s**2\/2 + 10347635*s\/2 + 517825 = 0?\nAnswer: -1883, -1\/5, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 118 - 101. Calculate the remainder when (0 - -1)\/(1\/n*1) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 at most 8\/363?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 36342 is divided by 17711?\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 21015024?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(-5*sqrt(288) + sqrt(288) + (sqrt(18) - sqrt(18)*2*-1)))**2.\nAnswer: 109512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-16)*(o*o\/(o**(39\/4)*o)*o)\/o*o)**23 assuming o is positive.\nAnswer: o**(-2185\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2652*v - 8626*v - 2938*v = 1203120 for v.\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - 2*k - 6 = -0*f, 2*k + 30 = -4*f. Let b(x) = -x**2 - 7*x - 5. Let z be b(f). Let g = z - -56. What is the highest common divisor of g and 301?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 68*h - 44. Let n be d(-7). Is 13 a factor of (36\/(-15))\/(3\/n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 4, 1, -25, 6, -3, -93 in increasing order.\nAnswer: -93, -25, -3, 1, 2, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 393 a multiple of 131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2 - 7. Let j = q - 0. Which is the smallest value?  (a) 1\/6  (b) -1\/2  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1295*w + 436*w + 411*w + 449*w.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 92 + -42. Suppose q = 4*j - 53, 5*j - 4*q + 6*q - i = 0. Calculate the smallest common multiple of j and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -2390189*t + 4780382. Determine h(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2\/(-4) + (-1)\/(-2). Solve 3*b - 4*u + 20 = g, -6*b + b - 10 = 5*u for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_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: Let p(z) = -59*z - 382. Let w(t) = -32*t - 191. Let u(r) = 6*p(r) - 11*w(r). Let j(d) = -3*d**2. Give j(u(s)).\nAnswer: -12*s**2 - 2292*s - 109443","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = o**3 - 7*o**2 - 9*o + 11. Let u be p(8). Suppose 2*m - m + r - 11 = 0, 2*m - u*r - 47 = 0. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*g + 11*g + 12*g + (3 - 3 - 4*g)*(4 + 1 - 4).\nAnswer: 13*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) be the first derivative of -y**6\/30 + 3*y**5\/20 - y**4\/6 + 20*y + 17. Let r(b) be the first derivative of l(b). Factor r(o).\nAnswer: -o**2*(o - 2)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7942 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 + (-8 - -20 - 6 - (8 + -3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 125 and 6471375.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**11\/(h*(h\/h**(-2\/21))\/h))**(-4)*h**2\/(h\/h**(1\/2))*(h\/(h\/(h\/(h**(2\/5)\/h))))\/h*h**(-6) assuming h is positive.\nAnswer: h**(-9139\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cchhhcbh. Give prob of sequence hh.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1458 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -60 - 4?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-4 + 5 - 3)*(3*w**4 - 3*w**4 + 3*w**5) + 0*w**5 + 6*w**5 - 5*w**5)*(0 - 3 + 1).\nAnswer: 10*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 789754 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 60471, 121002, 181533, 242064?\n\"Answer: 60531*w - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 6619\/3 - 2206. Factor -2\/3*d**2 + w*d + 0 + 1\/3*d**3.\nAnswer: d*(d - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*(sqrt(2450) - sqrt(2450)*1) + sqrt(2450))\/(sqrt(30)\/((sqrt(36)*-3 - sqrt(36))\/sqrt(12))))**2 + 0.\nAnswer: 3920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -50319 or -50317?\nAnswer: -50317","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3.331894 decades to millennia.\nAnswer: 0.03331894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine s so that 2*s**4 + 122*s**3\/5 - 182*s**2\/5 - 5658*s\/5 - 12852\/5 = 0.\nAnswer: -9, -7, -3, 34\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 3366516 or 3366514?\nAnswer: 3366516","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*x - 3*x - 1026 = 0. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 + (2 - (-3 - -4)) - 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = 4*d - 18. Give k(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(34) - (sqrt(340)*-5)\/sqrt(10)))\/(-2*sqrt(200)*2).\nAnswer: -3*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*z + 4*j - 4, 2*j = -4*z + 12 + 2 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2 + (16 - -2)\/3. Let j = g - 5. Find v, given that -2*v + 0 + 2*v**j + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (6\/(-4))\/(6\/(-140)). Suppose -v*m + 1560 = -23*m. What is the greatest common divisor of m and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 824626 and 824091 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 67299 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/5 in 12, -0.1, -1\/3, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 49 (base 10) to base 7.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 65 + -33. Is 26 a factor of r\/(-10)*(-260)\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + -8 + 1 + -6 + 30.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (41\/((-2870)\/(-12)))\/((-4)\/(-7))?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.301835193 to 3 dps.\nAnswer: -1.302","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Determine d so that 3*d**3 + 2313*d**2 - 23403*d + 21087 = 0.\nAnswer: -781, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10210 (base 3) to base 14.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*o + 28 = 4*g, 60 = 4*g - 3*o + 9*o for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express -34*l + 93*l + 88*l in the form o*l + f and give o.\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + x + 4*x = -24, -4*w - 16 = 4*x. Put -1, 5, w in increasing order.\nAnswer: -1, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -135*h = -198*h + 441 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = m. Let z(p) be the first derivative of -37*p**2 - p + 132. What is x(z(r))?\nAnswer: -74*r - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17345.\nAnswer: 5, 3469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*s + 4 = 2*s. Suppose -56*d - 1356 + 3428 = 0. What is the least common multiple of d and s?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*p + 3*x + 23, -2*p + 7*x = 4*x - 7. Solve 0 = -2*d - p, 32 = -0*u - 4*u - 3*d for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 3327620 to the nearest ten thousand.\nAnswer: 3330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -5*i**3 - 26*i**2 - 7*i + 6. Let k be z(-5). Let n(c) = 15*c + 8. Let x be n(8). What is the greatest common divisor of x and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1685 + -465?\nAnswer: 1220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 1\/5, 1, 2, 0.01 in ascending order.\nAnswer: 0.01, 1\/5, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 424194?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w - 36 = -4*q - w, q = -3*w + 13. Suppose -l = 2 - q. Let n = l - -82. List the prime factors of n.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 240 - 447. Let n = 223 + j. Calculate the least common multiple of 24 and n.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*f**2 - 9*f**2 + 0*f**2)*((2 + 0 + 0)*(-1 + 2 + 0) + 8 - 1 - 6) + 2*f**2 + 1 - 1 + (-4 + 4 + f**2)*(-2 + 5 - 1).\nAnswer: -17*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -19781?  (a) 0.21  (b) -0.12  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 32.86481 to one dp.\nAnswer: 32.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 118330 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*g = 5*y - 32, 3*g = -g + 4*y - 28 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3778 by -9.\nAnswer: -3778\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (13 - (10 - 7)) + 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 l and 1 q when three letters picked without replacement from bbbliqsblqqsqqbbbs.\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (0 - 0)\/(4\/2). Let x(n) be the second derivative of -1\/6*n**3 + n + n**2 + w. What is the first derivative of x(b) wrt b?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 5 - 4*o + 0 + 0*o + o. Suppose -8*l + 549 - 533 = 0. Let w be s(l). Which is the closest to 0?  (a) 0.4  (b) w  (c) 4.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 1 x when two letters picked without replacement from yxkllyyylk?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find h such that h**4\/9 + 7*h**3\/9 - 17*h**2\/3 - 67*h\/9 + 110\/9 = 0.\nAnswer: -11, -2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7.275143cm to millimeters.\nAnswer: 72.75143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -11*u**2*z**2 - 18*u**2 + 6113*u + 13*z**2 wrt u?\nAnswer: -22*z**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rrrworrooow. What is prob of picking 2 w?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 616 minutes after 4:29 PM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*t - 9*t - 11*t + 25*t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1.04 + -0.04. What is the closest to z in 2, -0.2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -33*u**3 - 221*u + 7113*u**2 - 7113*u**2 - 213*u + 434*u.\nAnswer: -33*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = j - 3. Suppose 0 = k - 0*k - 5. Let n be p(k). Solve 0 = 4*q - 18 - n for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 301 and 2064688?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = z, 3*w + 6 + 6 = -3*z for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 42 and 5978?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*p**4 + 4*p - 4*p - 7*p**4 + 6*p**4 + 3*p**4 + p**4 - 3 + 3 + 1 - p**4 - 1 + (3*p**3 - 3*p**3 + 2*p**3)*(p - p + p).\nAnswer: -2*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d = d - 25. Suppose 2*i + d*r - 44 = -0*r, -4*i + r = -44. What is the highest common factor of 4 and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 450*o**2 + 4*o**3 + 67*o**2 - o**3 + 3 + 2*o**3 - 56*o**2.\nAnswer: 5*o**3 + 461*o**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 4 - 1 + (-2 + 0 + 0)*(0 - 5 + 4))*(-25*q + 31*q - 3*q)*(6 - 7 - 5).\nAnswer: -18*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*n + 0*n + 16*n + 11*n.\nAnswer: 24*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 11b - 88?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 57526 and 17918762.\nAnswer: 1174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-5841)\/135 - -44) + (-4)\/10. Which is the fourth biggest value?  (a) -1\/11  (b) 3  (c) -0.4  (d) j  (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 221083 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.03762 - -0.43762. Let m be ((-259)\/20)\/((-54)\/15). Let i = m - 27\/8. Sort i, s, 2 in decreasing order.\nAnswer: 2, s, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -192 = -4*b + 5*p, 3*b + p - 144 = 6*p. Let y = -34 + b. Calculate the lowest common multiple of 10 and y.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) be the first derivative of y**5\/5 + 209*y**4\/4 + 844*y**3\/3 - 1963. Find the third derivative of b(k) wrt k.\nAnswer: 24*k + 1254","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -62.32, -2\/1983, -0.5 in ascending order.\nAnswer: -62.32, -0.5, -2\/1983","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*l**2 + 4*l**2 - 4*l**2)*(9 - 15 + 5 + (0 - 4 + 2)*(-2 - 1 + 5) - 4 - 2 + 4 - 4 + 4 - 1) as n*l + a + x*l**2 and give x.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2309 = -618*t + 5555 + 10350 for t.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -4*m**2 - 16*m - 8. Let a(f) = 4*f**2 + 15*f + 6. Let j(w) = 4*a(w) + 5*k(w). Suppose j(z) = 0. Calculate z.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = y**3 + y + 3. Let m be z(0). Let r = -9 + 16. Is 2 a factor of r - (-3 - (m + -5))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -41 + 41. Let s = 6.89 + 0.11. Let g = 2 - s. Which is the third smallest value?  (a) g  (b) 0.3  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1212260*m - 9146182 with respect to m.\nAnswer: -1212260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 7312, 6048, 4784, 3520, 2256?\nAnswer: 992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 31\/2 and 32\/432351.\nAnswer: 864702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 - 18 - (113 + -113)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 11686?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 70884510 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 258291119 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 6*t + 17. Let h(p) = p + 3. Let w = -30 - -31. Let s be (15 + 2)*2\/w. Give s*h(y) - 6*m(y).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.81 + -153.81. Let i = l - -152.692. Let p = 0.308000924 + i. What is p rounded to seven dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 981519?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 5142\/7 + -734. Which is the nearest to 2\/7?  (a) -5  (b) 1  (c) -2\/13  (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 660 minutes before 8:20 AM?\nAnswer: 9:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + sqrt(275)*2 + -4 + ((sqrt(176) + (sqrt(176) - (sqrt(176) + 0)))**2 - sqrt(176))*1.\nAnswer: 6*sqrt(11) + 173","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 7*d**2 - 3*d - 6. Let t(q) = 8*q**2 - 4*q - 5. Let r(b) = 6*t(b) - 7*y(b). Give r(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -58 + 55. Find the common denominator of (27\/2 + q)*(-25)\/45 and 16\/7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -980581 and 0.2?\nAnswer: -196116.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 4, w: 3, x: 2}. Give prob of sequence xx.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -100 = 4*z + 2*r, -2*r + 0*r + 4 = 0. Let v(b) = -33*b + 7. Is v(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -35\/9 and 101\/8298024?\nAnswer: 24894072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 2*h**3 - 7*h**2 + 2*h + 5. Let p be q(3). Suppose 2*m - 2*g - 4339992 = 3*m, -p*g - 21699992 = 5*m. Round m to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-30)\/(-36))\/(2*3\/36). Suppose -5*o - 3 = -s, 3*o = 5*s - 2 - 13. Suppose 2*i - s*i + 5 = 0. Solve i*k = -n*h + 25, 5*h - h = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = j**3 - 67*j**2 + 1134*j - 115. Give b(35).\nAnswer: 375","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -2  (b) 0.3  (c) -7  (d) -6  (e) 44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*q - 2*r + 6, 0 = -3*q - r - r + 9. Suppose 3*i - 96 = -144. Let s = i + 19. Calculate the highest common factor of q and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4 - -1. Let f be (p\/5)\/((-10)\/150). Let m be (-110)\/33*f\/(-5). Solve 0 = -2*n + m*n - 4 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in three tenths of a meter?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 3336511 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3.89 + -0.11. Let y = -3.972 - j. Let t = 0.051 + y. What is t rounded to 2 dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -211102000 (base 3) to base 7.\nAnswer: -65424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 756236 to the power of 1\/2, to the nearest integer?\nAnswer: 870","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-151239)\/12 + 2 + (-21)\/28. Let q = -8295 - c. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*u - 5*h - 870 - 1053, 3*u + 3*h = 2853. What is the hundreds digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from swafin. Give prob of sequence ifs.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: Factor 4*g**4 - 8*g**3.\nAnswer: 4*g**3*(g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -445 = -2*o - 3*o + 5*v, -o + 91 = v. Let z be (-15)\/(o\/24)*(-7)\/2. Let w(m) = 7*m - 11. Is w(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine u, given that 2*u**2\/11 - 37846*u\/11 - 988236 = 0.\nAnswer: -283, 19206","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(16\/3)\/a**(1\/17))\/(a\/a**(-22))**(1\/26) assuming a is positive.\nAnswer: a**(5821\/1326)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (57\/(18525\/(-200)))\/2.\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = m**3 + 8*m**2 - 10*m + 6. Let h be y(-9). Suppose -68 = 11*p - h*p. What is the first derivative of -p + 19 - 8*c - 2*c + 2*c wrt c?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-m + 3*m + 6*m)*(-3*m**2 + 2*m**2 - m**2) + (-m + m + m**3)*(-2 + 1 + 0) - m**3 + 5*m**3 - 6*m**3 - 2*m**2 + m**3 + 2*m**2 - 3*m**3 + 5*m**3 - 3*m**3.\nAnswer: -19*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = i + 11. Let k be y(-10). Let g(s) be the second derivative of -s**3\/6 - 4*s. Let m(r) = 2*r - 2. Determine k*g(c) + m(c).\nAnswer: c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1203*f - 45151 - 56047 = 14290 for f.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 51 minutes before 1:54 AM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/(-3)*(-21)\/112*-24.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*s - 19*s + 5*s.\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-123)\/(-27))\/41)\/(3 - (-400)\/(-135))*-11.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 0\/(5\/((-15)\/6)). Let j = 1456 + -1258. Suppose v = 17*q - j - 210. Calculate the lowest common multiple of 21 and q.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1486 is divided by 93.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 50 + 20 = 5*a. Is 391805\/207 - (-1 - a\/(-18)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 364, 711, 1058?\nAnswer: 1405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2 or -135\/289?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor a**4\/9 + 505*a**3\/3 + 1514*a**2\/9.\nAnswer: a**2*(a + 1)*(a + 1514)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m = -1247*z + 1246*z - 8, 4*m = 5*z + 28. Which is the smallest value?  (a) 1  (b) 3\/7  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10054 is divided by 5012?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 1.162 < 2494\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 149366, 298707, 448048, 597389, 746730?\n\"Answer: 149341*c + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = 30*q - 17. Let y(z) = -10*z + 6. Let k = -4510 + 4504. What is k*l(r) - 17*y(r)?\nAnswer: -10*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 11855 + -93. What are the prime factors of w?\nAnswer: 2, 5881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -21 - 1100?\nAnswer: -1121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -4*d - 15. Let t be j(-6). Let r = t + -6. Suppose -3*p = -y - 176, 4*p - y - 248 = r*y. Is 13 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -75*r**2 + 15*r - 15. Let n be (-3 + 0)\/(2*(-2)\/(-20)). Let o(c) = 2*c**2 - c + 1. Let s(j) = n*o(j) - m(j). Let w(p) = p. What is w(s(a))?\nAnswer: 45*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 311938 is divided by 424.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 2 b when three letters picked without replacement from mbcb.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -5*a**2 - 25*a - 3. Let f(g) = 10*g**2 + 50*g + 5. Let p(s) = -3*f(s) - 5*y(s). Let p(d) = 0. Calculate d.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*o - 2*t - 70 = 0, 159*o - 5*t + 55 = 162*o. Let q(b) = -11*b + 112. What is q(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 27*z**2 + 19*z - 35. Is y(9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.2 + -8.8. Let h = 14.28 + -0.28. Let x = h + v. Sort 0, -0.2, x in increasing order.\nAnswer: -0.2, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 152192 is divided by 152180?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4180 and 4664?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(12\/11)\/f**(-2\/11)*(f**(-1\/25)\/f)**(-7\/4))**(-10) assuming f is positive.\nAnswer: f**(-1701\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) be the second derivative of -f**5\/20 + 7*f**4\/12 - 2*f**3\/3 - 7*f**2\/2 - 13*f. Let j = -13 + 18. What are the prime factors of h(j)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*v - 31*v + 6*v as p + k*v and give k.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -w**3 - 4*w**2 - 5*w - 4. Let y be r(-3). Suppose -y*a - a + 18 = 0. Suppose 5*j - q - 23 = 0, q - a = 2*j - 17. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f + f = 18. Let y = 19 + f. Suppose -2*k + 7 = -y. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-88)\/(-33)*(-18)\/(-1). Suppose -x = -3*n + 6. What is the remainder when n is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -d**2. Let z(h) be the first derivative of -h**3 + 15*h**2\/2 + 11*h + 1. Let r(o) = 4*b(o) - z(o). Let w be r(-14). Solve -f - w = -1 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 24 + -32. Let j(k) = -k**3 - 8*k**2 + 2*k - 6. Let y be j(p). Let h = 30 + y. Does 3 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Work out -474220 * 46.\nAnswer: -21814120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in -0.01, 7, 3814, 2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 172*a**3*r + 42999835*a**3 - 42*a**2*r - 4118*a*r wrt r.\nAnswer: 172*a**3 - 42*a**2 - 4118*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*f = -0*f + 16 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 2492989 to the power of 1\/3, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2485, 1, -1\/4, -0.2, 1\/8 in descending order.\nAnswer: 1, 0.2485, 1\/8, -0.2, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = 32*g**3 - 3870*g**2 - 241*g + 50. Calculate c(121).\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 8 + -2 + -2 + 1. Let c(y) = y**3 - 6*y**2 - y + 6. Let a be c(6). Suppose a*h + 4*h = 0. Solve 3*t - v + 4 - 21 = h, -3*t - s*v = 13 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -4, 3, 1\/5, 1389?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 13933 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 6 + -9. Let s(j) = -19*j**3 - 13*j**2 + 3. Let g(f) = -f**3 - f**2 + 1. Let x(r) = a*g(r) + s(r). What is the third derivative of x(z) wrt z?\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 31123 is divided by 66?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3146619?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.04?  (a) 3  (b) -119  (c) -1\/4  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 2010000212 (base 3) to base 7\nAnswer: 232133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 2 j when three letters picked without replacement from {u: 5, j: 15}?\nAnswer: 35\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 138*c + w = 136*c + 10, 0 = -2*w + 12 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (5\/(-2))\/((-1)\/(-2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -14374, -14807, -15528, -16537?\n\"Answer: -144*y**2 - y - 14229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bil when three letters picked without replacement from clbicl?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5 - 15 - 24*d - 187 + 207.\nAnswer: -24*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(sqrt(78)*-1*4)\/(sqrt(216)*3) + -4.\nAnswer: -4 - 8*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 11 = 4*r, -4*h + 5*h + 7 = 4*r. Let n be 1 + h + (-20)\/9. Let a = -7660 - -7645. Is a at least n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -36 + 124. Let j = -61 + y. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -x**2 + 11*x - 19. Let m be t(9). Is m greater than 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1*4 - (-2 - -3). Suppose 50 = a*w - w. Let z(d) = -d**3 + 4*d**2 + 7*d - 1. Calculate the remainder when w is divided by z(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 38 minutes before 12:29 PM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = p**2 - 10*p - 6. Let v be i(11). Suppose -2*z + 44 = -2*t + 8, -4*z - v*t = -63. What is the remainder when z is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1365\/(-525))\/((-1)\/30*-3)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 12682661 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*u**2 + 0*u**2 - 2*u**2)*(110*u**3 - 83 - 117*u**3 + 50).\nAnswer: -14*u**5 - 66*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = 7*k**2 + 0*k**2 + 3*k - k**3 - 6*k**2 + 0*k**3. Let h be f(0). Let m(l) = -2*l**2 + l + 83. What are the prime factors of m(h)?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -51*h + 7. Let v(z) = -z - 1. What is p(m) + v(m)?\nAnswer: -52*m + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -95600000 to the nearest one million.\nAnswer: -96000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {d: 3, f: 9}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3819792?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 1512*u**2 - 2*u + 1. Is t(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) be the third derivative of w**4\/12 + 7*w**3\/6 + 17*w**2. Let d = 4 + 2. Is 8 a factor of p(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 23696895 is divided by 7898961?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*d - 0 + 9 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1291342 is divided by 323.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 = -2*j - 0, -5*z + 26*j - 300 + 331 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 41273 is divided by 4585?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/2, 8.9, -0.4, -43\/4, -3 in decreasing order.\nAnswer: 8.9, -0.4, -1\/2, -3, -43\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 222462*f - 11*f**2 - 111234*f - 111226*f - 25*f**2.\nAnswer: -36*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 46144\/40 + 3 + (-4 - -1). Let g = r + -1160. What is the common denominator of g and -44\/15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5127 a factor of 1161450072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 49\/99 and 40\/1899.\nAnswer: 20889","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (7*n - n + 11*n)*(-2 + 3 - 4 + (2 - 3 + 0)*(-3 + 3 - 1) + 2 + 0 - 1 + (6 + 1 + 1)*(1 + 3 - 2))*(3 - 2 + 1) to w + p*n and give p.\nAnswer: 510","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.4 * 17.\nAnswer: -6.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 501 minutes after 6:09 PM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -24\/19 and (-12)\/22 - 243\/(-2079).\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = a**2 - 6*a - 4. Calculate x(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 = 2*z + 4*i, 5*i + 4624 = 3*z + 4638 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.4  (b) 44  (c) -3  (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = 7*o**2 + 2*o + 2. Suppose -3*q = 2 - 5. Let b(v) = -v**2 - v - 1. Let w(s) = q*g(s) + 6*b(s). Give w(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -549 and -547 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 2736 to the power of 1\/2, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 1\/81  (b) 5  (c) -4.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -b. Let u be w(5). Let z(i) = -6*i**2 - 1 + 1 - 5*i - 4 - 1 - i**3. Determine z(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 628807 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*y + 988 - 502 + 21 - 507.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 16\/(-52) + 25\/((-34125)\/(-24171)) + 14\/(-10)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*h**3 - 6 + 36*h**3 - 48*h**3 + 15.\nAnswer: -24*h**3 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -24 and 136919.752?\nAnswer: 136943.752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4539078 by -3.\nAnswer: 1513026","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -10629*x**2 - 2*x + 130855 wrt x?\nAnswer: -21258*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 476, 473, 470, 467, 464?\n\"Answer: -3*t + 479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -11*u + 32 + 15 + 17*u - 5*u. Is x(7) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = 16*n**2 + 35*n + 201. Let f(k) = -7*k**2 - 18*k - 100. Let z(p) = -2*c(p) - 5*f(p). What is the first derivative of z(s) wrt s?\nAnswer: 6*s + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = t - 1. Suppose 70 = -5*b + 5*j, 11*j = 3*b + 6*j + 52. Let g(m) = m**2 - 5*m + 3. What is b*c(a) - 2*g(a)?\nAnswer: -2*a**2 + a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 179260?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -214 + 226. Suppose q + 2*q = 6. Solve -q*s = -6*s + l for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 14550 and 1625?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 90*a + 82*a + 41*a - 300*a + 81*a.\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -59, 2\/5, -5, 0.3, -1, -6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -y**3 + 6*y**2 - 8*y + 10. Let d be l(6). Let u be 43\/(-9) - d\/(-171). Is u at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + -1 + 0 + 10 + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 34.1 + -16. Let l = -23.1 + p. Let m be 1 + -1 - (-12)\/(-42). Which is the nearest to m?  (a) -0.5  (b) l  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*g - 3*g + 7*g**2 + 8*g**2 to z*g**2 + d*g + a and give z.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = 3*a**2. Let d(y) = -1 + 417*y**2 - 416*y**2 + 35*y + 1. Determine d(r(u)).\nAnswer: 9*u**4 + 105*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:10 AM and 10:02 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xrgp when four letters picked without replacement from pgpxgrrggxxrpaxr?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 1023.859 and -0.122?\nAnswer: 1023.981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) be the third derivative of 11*t**5\/60 + 58*t**2 + 2*t. Let z(l) = -4*l. What is z(u(d))?\nAnswer: -44*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -6*j - 5. Let p = -914 - -906. What is b(p)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1556 - -1565. Let p(d) = 0*d - 18 + 2*d - 2*d + d. Determine p(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(-9)\/p*p**(-1\/2)\/p)\/(p**(-7)\/p**(-2\/5)))**48 assuming p is positive.\nAnswer: p**(-1176\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*y**2 + 17800*y + 160038.\nAnswer: 2*(y + 9)*(y + 8891)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 8941 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -0.5  (b) 3  (c) -301\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-11)\/((-396)\/57988) - (-2)\/9. Suppose 4*j - 9*j = -i + 537, j = -3*i + x. Does 7 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 3*j**2 + 2*j + 6. Suppose -3*h - 5 = -5*f, -3*f + 34 = 4*h + 2. Let y(p) = 5*p**2 + 4*p + 11. Calculate f*y(q) - 7*s(q).\nAnswer: -q**2 + 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) be the first derivative of -217*v**3\/3 - 274*v + 45. What is the derivative of m(l) wrt l?\nAnswer: -434*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = r**5 + r**4 - 8*r - 1. Let z(k) = -2*k**5 - 42*k**4 + 28*k**3 + 36*k**2 + 16*k + 6. Let v(w) = 6*u(w) + z(w). Find m such that v(m) = 0.\nAnswer: -1, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 555.0303 >= -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k - 18 = 3*k. Sort k, -3\/7, 2.\nAnswer: k, -3\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -187*w + 2864852 - 24201552. What is w rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -q**2 + 556*q - 49992. Give i(113).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 621 + -328. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -103.54231 * 0.3\nAnswer: -31.062693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 439\/6 - 3277\/42. Let n = x + 143\/28. Let s = -5\/13 + 64\/65. Which is the third biggest value?  (a) n  (b) s  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 10*x**5 + 117*x**4 + x**3 - 4779*x**2 wrt x?\nAnswer: 600*x**2 + 2808*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:17 AM and 11:09 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is r in r**2\/6 + 1843*r\/6 + 133570 = 0?\nAnswer: -1140, -703","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1 - -2. Let z(x) be the third derivative of x**5\/60 + 29*x**2. Let p(m) = -m**2. Determine t*z(c) + 2*p(c).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -2*d**2 - 2*d + 1719362. Let h(f) = -f. Determine h(a(j)).\nAnswer: 2*j**2 + 2*j - 1719362","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert -203085 (base 9) to base 6.\nAnswer: -2325122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -9.2 + 7.2. Let h = 2.3 - 17.3. Let t = -10 - h. What is the third smallest value in p, -4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -19 - 13 + 16*n - 16 - 11*n**2 + 48 as i*n + p + o*n**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v\/(v\/(v\/v**(-1))*v))\/v)**(12\/7)*((((v\/v**(-1\/2))\/v*v)\/v)\/v*v)**(-4) assuming v is positive.\nAnswer: v**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) be the first derivative of -1377*i**2\/2 - 1600*i - 556. Differentiate d(w) with respect to w.\nAnswer: -1377","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -23323122 - -13?\nAnswer: -23323108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.18 - -0.19. Let g = 0.39 + j. Sort g, -1\/3, -6 in descending order.\nAnswer: g, -1\/3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -v**3 + 14*v**2 + 2. Let z(s) = 6*s**3 - 71*s**2 - 12. Calculate 11*t(r) + 2*z(r).\nAnswer: r**3 + 12*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 9844703 take away 0.069?\nAnswer: 9844702.931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-122)\/(-6) - (-6)\/(-18). What is the greatest common divisor of d and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -14d7216 + 2?\nAnswer: -14d7214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9.721526um to nanometers.\nAnswer: 9721.526","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -93\/3808 and -31\/4.\nAnswer: 3808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -170*s**6 - 158*s**2 wrt s?\nAnswer: -20400*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1 - -4. Let x = 7 - q. Solve x*l - 2*h - 11 = 15, l - 14 = 3*h for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -864, -868, -870, -870, -868, -864, -858?\n\"Answer: n**2 - 7*n - 858","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -1110001 (base 2) in base 13?\nAnswer: -89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 39 a factor of 1207348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d - d + 9 = 0. Let s = d - 5. Suppose 3*v = 7 + 2. Solve -v*w + s = 19 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (126\/35)\/((-8)\/40) - (49 + -36)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - n = 15 - 95, 0 = 5*p - 4*n + 80. Put -2, -4, p in decreasing order.\nAnswer: -2, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 25011083 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n = -27*v - 89 + 6, -10*n - 3*v = -13*n + 6*n + 12 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uuummuuumuuu. What is prob of sequence uu?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 261\/20 + -14843\/1260. Find the common denominator of v and 47\/42.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -57\/22984 and 47\/60.\nAnswer: 344760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-4)\/14)\/(4\/(-224)). What is the common denominator of (2146\/(-696))\/(2\/(r\/(-6))) and 21\/214?\nAnswer: 1926","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 363315251 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -65 + 0 + 2 + (25 - (30 + -37 - -28)).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -22*c. Let u(v) = -112*v + 47*v - 12 + 12. Calculate 7*f(g) - 2*u(g).\nAnswer: -24*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 158400 and 1728?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*w = 14*q + 62, 58*q + 4*w + 4 = 59*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*(sqrt(95)*-2 - sqrt(95)) - (sqrt(95) + sqrt(95) + -2*sqrt(95)*-1))*-6)\/((sqrt(180) - (sqrt(180) + 5*2*sqrt(180)) - sqrt(180))*-1).\nAnswer: 13*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1.9 + 1.8. Is q >= 1\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 less than or equal to 1216359?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 327?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3927?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = j + 9. Let z be b(6). Suppose 0*d = -5*d + z. What is the units digit of (d\/5)\/((-2)\/(-10))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = 90093*g. Let k(w) = 225*w**2. Give t(k(p)).\nAnswer: 20270925*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -10*r**2 + 13*r**2 - 2*r**2 + 10*r + 25 - 61. What is l(-13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 103*d - 252*d + 112*d + 134*d + 34*d.\nAnswer: 131*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:17 PM and 1:27 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.4 and 0.61.\nAnswer: 0.244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 14302 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 1160413 to the power of 1\/3, to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = 7*h**2 + 35*h - 5. Let k(g) = 11*g**2 + 56*g - 8. Let t(r) = 5*k(r) - 8*m(r). Let q(n) be the second derivative of n**4\/3 - n. What is q(t(d))?\nAnswer: 4*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 + 5 - 11)*(4 - 2*t - 4)*(-100 - 21 + 6)*(t - 3*t**3 - t).\nAnswer: 690*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -3717, 0.154, -0.16, -2?\nAnswer: -3717","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1040 and 13845?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 83536659359 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand -541*h**2 + 122*h**4 + 541*h**2 + (-1 + 1 + 2 + (3 + 2 - 3)*(3 - 1 - 1))*(-h**3 + 1 - 1)*(-3*h - 4*h + 5*h).\nAnswer: 130*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k*k\/(k**(-4\/9)\/k)*k**(-2\/3)*k*(k*k**(-1\/3)*k)\/k*k\/(k\/(k\/(k*k\/k**6*k)*k)))\/(k*k\/k**(3\/8)*k*k*k*k**(4\/9)*k)**(-36) assuming k is positive.\nAnswer: k**(4103\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_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 p be -1 + -71 + (-21)\/7. Suppose 3*h + 210 = -2*h. Let b = h - p. List the prime factors of b.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6853, -0.97, 4, 3.\nAnswer: -6853, -0.97, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 110.8 - 123. Let b = j + 14. Let l = b - 1.79992. Round l to five dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 259930, 261439, 263952, 267469?\nAnswer: 271990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 3\/(3\/1)*-1*5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 13*(210\/84)\/((-1)\/(-2))*(-255)\/255.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:59 PM and 12:15 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) be the third derivative of 23*r**5\/60 - 11*r**4\/12 - 11*r**3\/6 + 23*r**2. Let s(f) = -12*f**2 + 10*f + 5. Let b(l) = -4*p(l) - 9*s(l). Give b(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u + 12 = -5*o, -61 = 359*o - 362*o - 5*u. Let 15\/2*i**4 - 57*i + 171\/2*i**o - 48*i**3 + 12 = 0. What is i?\nAnswer: 2\/5, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*r = -15 - 30 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -29 and (-6)\/27 - (-2308)\/720.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -13713.8 - -13722.9881. Let w = -8.66 + -0.54. Let u = q + w. Round u to 3 decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u = 23 - 7, 5*u = -3*a - 56. Calculate the remainder when 27 is divided by 4*(-6)\/(a\/5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 56921865 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 51.929 millimeters to centimeters.\nAnswer: 5.1929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -s**2 + 26*s - 156. Let g be m(9). Sort g, -49, -4 in increasing order.\nAnswer: -49, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -120, -440, -962, -1680, -2588?\n\"Answer: g**3 - 107*g**2 - 6*g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 196995 + 377908 = 7*t. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, 9\/4, 2119, 0, 1\/122 in descending order.\nAnswer: 2119, 9\/4, 1\/122, 0, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express 10*z**4 + 13*z - 6 - 2*z - 13*z - 4*z**4 + 2*z**3 - 4*z**4 in the form m*z**2 + d*z + y*z**4 + n*z**3 + v and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -11.9 + 95.9. Let q = 6 + n. Let k = q + -91. Which is the smallest value?  (a) k  (b) -0.5  (c) 39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1426597 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/60181 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 201160 is divided by 860.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -120*(22\/(-30) - (-15)\/45). What is the highest common factor of 84 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -120216*d**3 - 2*d + 10595?\nAnswer: -721296*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -30 + 81. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -96 + 60. Calculate the common denominator of (0 + 12)*a\/(-1350) and 67\/10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -6 in -396, -43, -8, -0.4?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: ((-20)\/588)\/((-6150)\/(-14760))\nAnswer: -4\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor s**2\/5 + s + 6\/5.\nAnswer: (s + 2)*(s + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 533836757 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + sqrt(1700) + (sqrt(1700) - ((sqrt(1700) - (-4 + sqrt(1700))) + 5)))**2.\nAnswer: -240*sqrt(17) + 6836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-7)\/2)\/(-7)*(0 - (-30 - 63\/(-2))).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -49437*d + 442*d**2 + 49437*d to b*d**2 + k*d + a and give b.\nAnswer: 442","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v - 2107 = -6*v + c, -5*v - c = -2636. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1.1 - -1. Let i be 1\/6*(8 - 0). Does k = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1107619259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 30 and 9855?\nAnswer: 19710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (13*a**3 + 110*a**3 - 13*a**3)*(-1 - 3 + 3).\nAnswer: -110*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2269089 and 213.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) be the third derivative of -29*h**7\/105 - 121*h**3\/6 - 147*h**2 + 2. What is the first derivative of y(m) wrt m?\nAnswer: -232*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 42*y - 759 = -5*p - 156, -4*y + 6*y = -5*p + 6*y - 41 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3360\/(-576)*(-3)\/(-21).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 13192401 - 3?\nAnswer: 131923dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 24702?\nAnswer: 2, 3, 23, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 338*x**4 + 373*x**2 + 0*x + 0*x - 339*x**4 - 22*x**6 wrt x?\nAnswer: -2640*x**3 - 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 138089*k**2*n**2 - 12*k**2*n - 13*k**2 - k*n + 3*k wrt n?\nAnswer: 276178*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -68 + 71. Solve b + 3*b = -4*u + 28, 0 = -u + i*b - 1 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -14 - -14. Let u(q) = q + 2*q**2 + 2*q + t*q - 2. Let p(o) = -5*o**2 - 7*o + 5. Determine -4*p(w) - 9*u(w).\nAnswer: 2*w**2 + w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) be the second derivative of -g**3\/6 - 7*g**2\/2 - 6*g. Let w(y) = -3*y - 20. Let a(l) = 17*k(l) - 6*w(l). What is a(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -393 = -17*k - 750 for k.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eeezeez. Give prob of sequence ze.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 10 + -10. Suppose g = -0*a + 4*a. Solve -2\/3*v**5 - v**4 + 1\/3*v**2 + a + 0*v**3 + 0*v = 0 for v.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 1033, 2063, 3091, 4117, 5141, 6163?\n\"Answer: -t**2 + 1033*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.01561 and 2.\nAnswer: -0.03122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 13, -158, -21 in ascending order.\nAnswer: -158, -21, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10475 = 2467*d + 3074 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 125110359?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 987 and 11776884.\nAnswer: 987","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3339*g**2 + 2181001 - 2181001 + 3340*g**2.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 1123 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 q = 17017 - 17012. Which is the second biggest value?  (a) q  (b) 20  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2\/(-5) - 12\/(-5). Suppose -w*v + 18 = v. Let n(a) = -a. What is n(v)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dpplrtd. Give prob of sequence rp.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1305 is divided by 386?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 793923805?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -7*(-4 - (157 + -2)). Let a = -480 + z. Let f = 1346 - a. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 335461 is divided by 335403?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(5*sqrt(68)*-2*6 - (sqrt(68) - (sqrt(68) - (sqrt(68) + 1 + -2)))*6))**2*-2.\nAnswer: -2369952 + 12672*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 105279125 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6199173106?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 4*l**3 - l**2 + 4*l - 2. Let i be w(3). Suppose 4*j - 11 = -a, -2*a + i = -3*j + 43. Suppose 2 - 8 - a*p**3 + 41*p - 36*p**2 - 8*p = 0. What is p?\nAnswer: -2, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*((sqrt(119) + sqrt(119) + sqrt(119)*-1 + sqrt(119))*-1 - (sqrt(119) - 6*sqrt(119)*2 - sqrt(119))))\/(-6*-1*sqrt(112)*5).\nAnswer: -sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = d - 6800. Let t(j) = -j + 6796. Calculate 8*k(w) + 9*t(w).\nAnswer: -w + 6764","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000005205 to seven dps.\nAnswer: 0.0000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 904219600?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 69156.2ml in litres?\nAnswer: 69.1562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.885 - 0.385. Which is the second biggest value?  (a) d  (b) 5  (c) -32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 936?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -c**3*j**3 - 8*c**3*j + 13*c**3*s - 4*c**2*j**3*s - 10*j**3 wrt s.\nAnswer: 13*c**3 - 4*c**2*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -y - 7. Let c be h(-6). Let f = -9 - -2. Which is greater: f or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -17 - 74 - 17*c**2 + 28*c**2 - 17*c**2 - 37*c**2 to l*c + z*c**2 + u and give u.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000035517 rounded to six decimal places?\nAnswer: -0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*n - 29*n + 6527 + 27538 = 0. What are the prime factors of n?\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) be the second derivative of z**6\/120 - z**5\/5 - z**4\/6 + 2*z**3 - 59*z**2\/2 + 30*z + 3. Let h(y) be the first derivative of v(y). Calculate h(12).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 39533 to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 139*b**2 - 3*b. Let w(q) = -4*q. Give w(c(u)).\nAnswer: -556*u**2 + 12*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 7353, 6600, 5345, 3588, 1329?\n\"Answer: -251*t**2 + 7604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1135468 (base 10) in base 5?\nAnswer: 242313333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2.3 - -0.3. Let s = 2 + p. Let l(r) = -r**3 + 2*r**2 + 12*r - 20. Let d be l(4). Which is the closest to 0?  (a) s  (b) d  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + (-4 - -5) - (-4 + 11).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 126833 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 6 - 2)*(3*y + 4*y - 3*y)*(-3*y**2 + 3*y**2 + 3*y**4).\nAnswer: -120*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 15.43 + -16. Let c = -84.43 + i. What is the fourth smallest value in c, -0.2, 5, 0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is ba3 + 4?\nAnswer: ba7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.011577026085 to 6 decimal places.\nAnswer: -0.011577","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -63*v + 73*v = 1680. What is the highest common factor of 252 and v?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 186966 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 4, 689, 0.3, -0.06?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3474 - -3509.42. Let s = l - 36. Let f = s - -0.68. What is the closest to 0.1 in -1, 0.3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1 - -1. Let i = 1079 - 1079.3. Which is the third smallest value?  (a) m  (b) i  (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -q**2 + 9*q. Let j be a(9). Let v(k) = -2*k + 2. Let f be v(j). Suppose 2\/7 + 2\/7*n**f + 4\/7*n = 0. Calculate n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -12*a + 1365 + 783. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 12 = 5*h - 13, 0 = 3*x - 5*h + 9. Suppose 0 = -8*y + 9*y + x*y. Solve -3*b - 3*l + 6 = 0, 4*b + l = -y*b - 7 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide ((-146)\/6)\/((-28)\/(-126))*64\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*s + 12 - 4. Suppose 0 = d + 3*j - 21, s*j - 18 = -3*d + 2*d. 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(m) = 3*m**2. Let v(r) = 4*r - 6. What is v(a(n))?\nAnswer: 12*n**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 1466567 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**(2\/59)\/j*j*j**(-9\/2)*(j**0)**(10\/19) assuming j is positive.\nAnswer: j**(-527\/118)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 46*d - 50*d - 4, -q + 1424 = 5*d. What is the hundreds digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -7*o - 12. What is u(9)?\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-10)\/2*(5\/5)\/1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*2*sqrt(117) - sqrt(117))**2 + sqrt(117) + 2 + sqrt(117) + -2 + 6*((sqrt(117) - ((sqrt(117)*5)**2 - sqrt(117)) - sqrt(117)) + 2).\nAnswer: -11805 + 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 18\/20*55\/396*6\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = 6*r**3 - r**2 - 46*r - 89. Calculate t(-2).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 13618.3 + -14222. Let r = i - -551. What is r rounded to zero dps?\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -171595, -674775, -1513399, -2687461, -4196955, -6041875?\nAnswer: -8222215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor f**2 - 30247*f - 1181154.\nAnswer: (f - 30286)*(f + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j - 96 = -26. Suppose 3*d + 3*q = -24, -18*d - 23 = -16*d - 5*q. Let z = d + j. Calculate the remainder when 6 is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = 16*r - 2. Give m(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 1120, 5, 4, -3 in descending order.\nAnswer: 1120, 5, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -2*(-25)\/(-2)*-3. Let c be (2 - -16)*(-25)\/10. Let q = 75 + c. What is the highest common factor of q and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 694*0.1\nAnswer: 69.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -424 + 685. Calculate the remainder when q is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.475113 minutes in nanoseconds?\nAnswer: 448506780000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f - f - 20 = -5*h, 4*f + 14 = 3*h. Suppose v = -0*v + 12. Calculate the remainder when (-17 - -18)*-11*h*-1 is divided by v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1989 - 1988.9999305. Round d to 6 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from wwjgjgwwwwjwg.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - ((79 - 78) + 0 + -17 + 149 + 0)?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) be the third derivative of y**5\/60 - y**4\/8 - 2*y**3\/3 + 2*y**2. Let x be c(4). Suppose x = 7*b - 2*b - 105. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 321399?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(1*sqrt(192))**2 + sqrt(192)*-2*-3 + (2*((sqrt(363) - (sqrt(363) - -2*sqrt(363)))**2 + sqrt(363)) - -3*(1 + sqrt(363))).\nAnswer: 103*sqrt(3) + 2139","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (204\/1768)\/(6\/(-8))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -165  (b) 1  (c) -4  (d) 0.8972\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -1 + 2 - 2. Let y(s) = -5*s + 4. Let f be 260\/(-650)*(-15)\/(-6). Let d(v) = f*y(v) - 2*a(v). Calculate d(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -1.7  (b) -5\/4  (c) 1  (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/6, -0.0074, -6\/7.\nAnswer: -6\/7, -0.0074, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = 3*p**2 + 1. Suppose 3*i + 3*o = -2*i + 38, -4*i - o = -29. Let r(j) = -6*j**2 - 3. Let u(q) = i*k(q) + 4*r(q). What is the derivative of u(f) wrt f?\nAnswer: -6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 87 = -25*m - 4*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*c + 17 = -13*c + 2*m, -2*m = 5*c + 23 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -3, -2, -0.1, -0.02, 0?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -5 + 2 - 177\/60 and -107\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -15*f**3 + 5*f**2 + 11*f - 4. Let q(x) = 7*x**3 - 2*x**2 - 5*x + 2. Let k be 66\/(-7 - 26)*(1 + 2). Calculate k*v(u) - 13*q(u).\nAnswer: -u**3 - 4*u**2 - u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1037965 is divided by 3349.\nAnswer: 3124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 5\/19 - 69\/190. Let s = 3\/5 + g. Which is the closest to 12?  (a) s  (b) 1\/4  (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*r - 2*y - 991, 5*r + 229 = 2*y - 1444. Is -334 > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -760 greater than -880?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2 + 2.3. Let h = 3450.5 + -3451. Sort y, 2, h, -0.06.\nAnswer: h, -0.06, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sk when two letters picked without replacement from {w: 2, k: 1, s: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1425.159452 + 0.4.\nAnswer: 1425.559452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = 4 - c - 3 + 3*c - 8*c. Suppose -b + 2*a - 3 - 6 = 0, -2*a = -10. What is t(b)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 57 a factor of 1426773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -u**2 + 27*u - 107. Calculate b(25).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express (-33 + 58 + 16)*(-951 - 94*b + 951)*(b**3 - 4*b**2 + 4*b**2) in the form u*b**2 + a + g*b**4 + x*b**3 + s*b and give g.\nAnswer: -3854","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Determine m so that 4*m**5 - 8*m**4 - 60*m**3 + 128*m**2 - 64*m = 0.\nAnswer: -4, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 4100 and 180?\nAnswer: 36900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-130)\/8 + 140\/112. Let u be (-5)\/(-20) + r\/(-260). What is the biggest value in -2\/15, -3, u, 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Is 146173831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1248688?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 27477.1258 rounded to the nearest 100?\nAnswer: 27500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 5717235731 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 176008992 and 192?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 27043 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -1\/6, -0.07, 0.1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = o**2 - o. Let m be 4 + -2 + 3 - 0. Let w be a(m). Solve -v - w = -5*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -45121\/77 + 586. Let u = -34\/77 + x. Let z = u + 45\/56. What is the closest to 0 in z, 3\/4, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3065667 divided by -11?\nAnswer: -278697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -81581.19368 rounded to the nearest ten?\nAnswer: -81580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = t**2 - 8*t + 8. Let u be i(5). Suppose 0 = -2*s - 17 + 7. Let x = s - u. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wuu when three letters picked without replacement from ufmuwuw?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -q**3 + 10*q**2 - 9*q + 6. Let t be l(9). What is the greatest common factor of 6 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 35\/172 - -2\/43. Which is the fourth smallest value?  (a) 5  (b) q  (c) -14  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -w**3 + 19*w**2 + 2*w + 27. Let n(j) = j**2 - 6. Let x be n(5). Let k be t(x). Let l = k + -49. Calculate the lowest common multiple of l and 22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -7*u - 5. What is v(-3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - (0 - 0) - 2 - (127 - 146)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.137 - -2.137. Let q be -1 - 4\/(2 + 0). Put -0.12, q, v in increasing order.\nAnswer: q, -0.12, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2453 (base 16) to base 6\nAnswer: -111015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 19, 27, 19, -11, -69, -161?\nAnswer: -293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -2835 - -5?\nAnswer: -2830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 781 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 0.3, 14, 6602?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 17.7388t?\nAnswer: 17738.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:05 AM and 11:21 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) be the first derivative of -7*i**3\/3 - 17. Let q(o) = 0*o**2 - 4*o**2 - 2*o**2 + 0*o**2. What is j(q(r))?\nAnswer: -252*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w = 5*w - 16. Let y = w + -1. Let x = 41 + -37. What is the third biggest value in x, y, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) be the first derivative of -2*p**7\/105 - p**4\/4 - 7*p**2\/2 - 5. Let f(h) be the second derivative of j(h). What is the second derivative of f(q) wrt q?\nAnswer: -48*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 76 and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -178*q - 11470. Give y(-64).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1781681 divided by -146.\nAnswer: 1781681\/146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**7*g)\/(g*g**(1\/4)))\/(g**(-7)\/((g\/g**(1\/3))\/g*g)) assuming g is positive.\nAnswer: g**(173\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -f**3 + 73*f**2 - 322*f + 242. Calculate y(4).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -z**2 - 8*z - 4. Let q be c(-7). Suppose 249 = 4*k - s + 4*s, -q*k - 5*s = -184. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 678 minutes before 11:28 AM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = 2*m - 26. Let q be u(12). Let i = -18 + 21. Put -127, q, i, 0 in ascending order.\nAnswer: -127, q, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -134779466*d**4 - 54942*d**2 - 550*d wrt d?\nAnswer: -3234707184*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 33\/10 - 7\/2. Let t(p) = p - 7. Let j be t(9). Let h = j + 0. Which is the third smallest value?  (a) 1  (b) x  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 + 2 - 2)*(71*m**2 - 81*m + 81*m)*(-5 + 0 + 3) in the form o*m + i + n*m**2 and give n.\nAnswer: 426","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) be the first derivative of -2*m**4\/9 - 2*m**3\/3 - 2*m**2\/3 - 2*m\/9 - 17. Determine b so that o(b) = 0.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u = -16 + 4. What is the units digit of 0 + 12*(-2)\/u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -7 - -194. What is n rounded to the nearest ten?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 64 = -5*d + 4*w, 2*d + 26 = -96606*w + 96608*w for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*d**3 + 4*d**2 - 2 + 43407*d - 43494*d - 3*d**3 as i*d + g + y*d**2 + v*d**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20*v + 48*v - 21*v.\nAnswer: 7*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -4126 or -4113?\nAnswer: -4113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*(r*r\/(r\/r**(-5)))\/r*r*r*r*r*r*r*r**(-2\/3)*r**(3\/5)\/r**8)\/(r*r**(3\/4)*(r*r**(2\/27)*r)\/r*r**2*r\/r**(-2\/11)) assuming r is positive.\nAnswer: r**(-71711\/5940)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.05 - 2.05. Let x = -68 + 58.6. Let k = 9 + x. Put n, k, -0.1 in increasing order.\nAnswer: n, k, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 583 minutes before 9:47 PM?\nAnswer: 12:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d\/(d*d*d*d**(-1\/3))*d*d)**(-36\/5) assuming d is positive.\nAnswer: d**(-48\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13 - (23 - 5 - 9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g = 48 - 30. What is the derivative of 4*o + 163 - o - g*o + 19*o wrt o?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -2081163, -2081169, -2081175, -2081181, -2081187?\n\"Answer: -6*o - 2081157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8 - ((5 - (9 - 9)) + 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0015514007775 to 7 dps.\nAnswer: 0.0015514","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 26972773 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 74505739.\nAnswer: 7, 11, 967607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-96*o**4 + 165*o**4 - 106*o**4)*(2*o - 3 + 3).\nAnswer: -74*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -209 - -209. Let i(t) be the third derivative of 0*t**4 + 3*t**2 + r*t + 1\/60*t**5 + 0*t**3 + 0 - 1\/120*t**6. Suppose i(g) = 0. Calculate g.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 16852?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 216  (b) 3  (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -17143, -34236, -51399, -68668, -86079, -103668?\n\"Answer: -6*l**3 + l**2 - 17054*l - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3150385 (base 10) to base 14.\nAnswer: 5c0157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = p - 5*n + 23, 3*n = -3*p + n + 16. Suppose 4*o - 19 = o - p*m, m + 31 = 3*o. Solve f + 3*f + 20 = 0, o = 4*b - 5*f for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 1, -108, 2\/3, -9?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/(-5)*1\/3*(-6020)\/1892?\nAnswer: -7\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16 - 31 = 3*q - 5*l, -2*l - 3 = -3*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2 or 192\/83?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.2, 1, -2\/17, -3265, -2\/7, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 413 = 15929*b - 15953*b - 67 for b.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 32915366 to the nearest integer?\nAnswer: 5737","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-2)\/259)\/(-1))\/(165\/42*(-316)\/(-4345)).\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -4 + -1032?\nAnswer: -1036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 5, s: 2, d: 8}. What is prob of sequence szdd?\nAnswer: 2\/117","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = l - 2. Let s be r(5). Let b(j) = j - 5*j + s*j + 8 + 0*j - j**2. Let i be b(-3). Solve 3*c = i*v - 9, 0*c + 4*c = -20 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-17)\/(q*q**(-17)))\/((q\/q**(2\/17))\/q**(-9)) assuming q is positive.\nAnswer: q**(-185\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1 - -3. Suppose -z + 7 = 5*w - 51, -w - 5*z = -2. Suppose 5 = -3*m - 7, -5*y = 2*m - w. Calculate the highest common divisor of y and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor m**3\/6 + 7*m**2\/3 - m\/6 - 7\/3.\nAnswer: (m - 1)*(m + 1)*(m + 14)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 10 - 14. Let f = 1.7 - -0.3. Sort f, y, -0.2 in ascending order.\nAnswer: y, -0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 + (0 - 1) - (-19 - -24)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -6116 + 6115.89. Which is the nearest to 1\/5?  (a) -1  (b) 4  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3584863 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3*(-19)\/(399\/(-28))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a + 4*i - 14 = 0, 0 = -4*a - 0*i - 3*i + 4. Let o(q) = 0*q**2 + q**3 + 0*q**2 + 7*q**2 + 4*q + 2 - 3*q**2. Let y be o(a). Which is greater: 4\/5 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -402, -826, -1248, -1668?\nAnswer: -2086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -37*z + 72*z - 39*z + 41 - 46.\nAnswer: -4*z - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -z + 2. Let k be d(-1). Let h(q) be the first derivative of 10\/33*q**k + 3 + 8\/11*q - 12\/11*q**2. Factor h(g).\nAnswer: 2*(g - 2)*(5*g - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(660)\/(sqrt(48) - sqrt(12)))\/((sqrt(40)*-2)\/sqrt(8)).\nAnswer: -sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1\/30, -1\/4, -6.8?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2200000 - -304030?\nAnswer: -1340420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -43*z**2 - 5*z + 5. Let c(l) = -9*l**2 - l + 1. Let y(t) = -5*c(t) + m(t). Let k(s) = 10*s - 3*s + 9*s. Give k(y(q)).\nAnswer: 32*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = n**2 + 2*n - 20. Let s be l(-6). Suppose -4*g - 5 + 1 = s*z, -4*z - 20 = 0. Suppose 0 = 11*h - g*h. Solve 3*y + 2*y = 10, -2*d - 3*y + 6 = h for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wg when two letters picked without replacement from {w: 1, x: 1, g: 1, e: 1, t: 2, b: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 37*l. Let y(v) = v**2 - 5*v + 1. Let c be y(5). Let f = 81 - 62. What is the remainder when o(c) is divided by f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g - 12 - 1 = 3*s, 0 = -3*s + 5*g - 14. Let u(n) = 10*n - 7. Let h(k) = 5*k - 3. Let b(l) = s*u(l) + 7*h(l). Let p(y) = -8*y**2. Give b(p(w)).\nAnswer: -40*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -4  (b) 0.3  (c) -1347.16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*h = -5*w - 190, -1178*w = -1173*w + 6*h + 190 for w.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g - 16 = 6*u, -5*g - 81*u - 31 = -80*u. Let k = -3 - -1. Put g, k, 5, -1 in ascending order.\nAnswer: g, k, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 72 + -40. Is 16 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 27, 66, -0.5, -5, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -55 + 59. Let n(p) = 161*p + 48. List the prime factors of n(c).\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 101181 is divided by 1909.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 4, a: 1, j: 2}. Give prob of sequence juau.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 15042 to the power of 1\/2, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v + 74 - 11 = 26*v. Put 4, -11, v in increasing order.\nAnswer: -11, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 53 = 9. Suppose z = l - 0*l. Is 11 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -103285 in 2, -2, 3, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -8 + 12. Suppose q = m*a - 57, 14 = a + 2*a + 5*q. Calculate the greatest common divisor of 117 and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = i**3 - 7*i**2 + 2. Let r be t(7). Suppose -m = m + r. Let u = 3.8 - 4. Which is the closest to 1\/2?  (a) 2\/3  (b) m  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 102120 (base 3) to base 13\nAnswer: 1b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -x**3 - 32*x**2 - 30*x + 34. Let k be w(-31). Solve n = -2*g + g + 2, k*g = -5*n + 4 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 40606 - 40942.54. Round c to 0 decimal places.\nAnswer: -337","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*f - 17 - 8 = -9. Let t = -4 - -3. Is (t + f)\/1 - -2*47 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) be the first derivative of -f**4\/4 - 2*f**3 - 4*f + 355. Calculate c(-7).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 128 a factor of 2959360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3393?\nAnswer: 3, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1718*a*d**3*r**3 - 10*a*d**3*r**2 - 5*a*d**3*r + 4*a*d**3 - 2*a*r**3 wrt r?\nAnswer: 10308*a*d**3 - 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 58062235*o**3 - 19900138*o**2?\nAnswer: 348373410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -9 + (-8)\/(-1) + 5. Solve 5*i - 2*l + 5 = -2, -t*i - 3*l - 1 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 26 - (27 - 7) - (-9 + -4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-2)\/(-8)*4*-1. Let o(z) = 2*z - 1. Determine o(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*v**4 + 11*v**3 + v - 3*v - 9*v**3 to the form o*v**3 + w*v + a*v**2 + c + l*v**4 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 b and 1 q when three letters picked without replacement from {b: 14, q: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q + 6 = -9. Suppose -3*x + 2*l + 0*l = -19, -q = x - 3*l. Suppose -11 - x = -5*y. Let s(n) = -n**3 + 5*n**2 - 6*n + 2. What is s(y)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1010112 (base 3) in base 6?\nAnswer: -3452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3988022 and 3395272?\nAnswer: 4742","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-6)\/(-10))\/(3\/15). Suppose -4*s = -s - p. Let z = 149 + -1046\/7. Do z and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -640, -1250, -1860, -2470?\nAnswer: -3080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -23*o**2 - 847*o**2 + 433*o**2 - 498*o**2 - 776*o**2 as v + b*o + x*o**2 and give x.\nAnswer: -1711","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 895524 divided by -21322.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -9\/96250 and -153\/154000.\nAnswer: 770000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v + 2*g = g + 7, -3*v - g + 17 = 0. Suppose 4*p - 7 = 5. Let f(k) = -6*k + 62. Let h be f(10). Put h, v, p in decreasing order.\nAnswer: v, p, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3077 + 3237. Solve -l = -20*h - 20*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = k**2 - 20*k + 81. Let b(w) = 11*w - 41. What is -11*b(r) - 6*d(r)?\nAnswer: -6*r**2 - r - 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -25335023 (base 7) in base 6?\nAnswer: -121103315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 364*d**3 - 163*d**2 - 4 wrt d?\nAnswer: 2184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 27290.6845 - 278411\nAnswer: -251120.3155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3*f**4 + 5*f**3 + 1542546*f**2 - 70659*f + 1172.\nAnswer: 36*f**2 + 30*f + 3085092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z = -0*a + a + 5, -2*z - 15 = 3*a. Let m be z\/((-1)\/((-1)\/(-2))). Let b(t) = 2*t**2 - 7*t + 6. Let u be b(4). Solve u = -m*d - 2*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h = 2*h + 6. Let f be (-9)\/6*(h - 0). Let r be 1*18\/3 - 3. Solve -r*v + 0*v = -f for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -44\/13720387 and -28\/1405?\nAnswer: 68601935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11789*t + 3 = s + 11787*t, -t = -3*s + 29 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 36894 and 195?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.5554419 years to decades.\nAnswer: 0.05554419","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 395 a factor of 88638?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-4)\/30 + (-213)\/90. Is -0.11 <= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 3\/(0 + 9\/12). Let x be ((-32)\/12 - 2\/6) + 43. Let r = x + -71\/2. Which is greater: r or a?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b = 4 + 5. Let y = b - -5. Let m(h) = 3*h**2 - 1. Calculate the remainder when y is divided by m(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 94230, 188503, 282820, 377181, 471586, 566035, 660528?\nAnswer: 755065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -73 * -40569\nAnswer: 2961537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aayy when four letters picked without replacement from {a: 2, y: 9}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express 8*h - h + h - h**2 - 4*h - 5*h - 10*h**4 - 3 in the form j + l*h + c*h**2 + f*h**3 + r*h**4 and give r.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 30 - (567\/45 + 17). Solve -4\/5*d + v*d**2 - 6\/5 = 0 for d.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*d - 20*d - 7*d - 11*d.\nAnswer: -32*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1200*a + 5706*a + 29*a**3 - 8098*a + 1192*a.\nAnswer: 29*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -4.3 times 0.14\nAnswer: -0.602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 1 r when two letters picked without replacement from kkkrssd.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 6531 and 8049924.\nAnswer: 933","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1539)\/(-15) - (4 - 110\/25). Let z = 277\/3 - s. Find the common denominator of 45 and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 393 divide 553572726?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 370235 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w = -2*h + 4, 5*h - 4*w - 37 - 6 = 0. Suppose 4*k = 17 + h. Let u be 16\/k + (-2)\/(-6). What is the greatest common divisor of u and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 27 + -18. Is 9 less than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-8*l - 42*l + 9*l)*(-2 + 2 - 4)*(10 + 6 + 0) to a + s*l and give s.\nAnswer: 2624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -k**3 - 5*k**2 + 6*k + 3. Suppose -3*r = -5*l + 65, 3 = 3*l + 5*r - 2. Let u = l - 16. Let j be i(u). Solve -j = -h - 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5362 less than -493?\nAnswer: 4869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*v - 10*v = 0. Suppose -26 = -k + 4*r, 2*k + 5*r = -v*k. Calculate the smallest common multiple of k and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -46 divided by 48.\nAnswer: -23\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-20)\/6*18\/(-12). Let q = m + 2. Suppose -r + 25 = g - 3*r, 4*r = 0. Calculate the remainder when g is divided by q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -3\/5, 0.0168, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -25908704, -25908701, -25908698, -25908695?\n\"Answer: 3*r - 25908707","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -51448 - -4064256\/79. Are h and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = 5*r**3 + 11*r**2 + 11*r - 11. Let f(o) = -3*o**3 - 6*o**2 - 6*o + 6. Suppose 31 + 2 = -3*q. Determine q*f(y) - 6*h(y).\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -583*x + 5087 = -1541 - 2117 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0 - 7. Let h = a + 14. Suppose 4*o = 4*v + 6*o - 10, 5*v + o - 17 = 0. Solve 7 = -2*l - 3*y, 4*y = -3*l + h*l + v for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:01 AM and 2:11 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 129\/2*(80\/12)\/5. What is the greatest common divisor of 43 and b?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 2*j - 8. Let v(b) = -2*b + 7. Let t(x) = -3*a(x) - 4*v(x). Let d(i) = -2*i + 5. Let s = 3 + -8. Determine s*d(g) - 6*t(g).\nAnswer: -2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = 69*i + 8. Let s be a(3). Suppose -2*o = s - 677. What is the remainder when o is divided by 79?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 10901, 10902, 10903, 10904, 10905?\n\"Answer: b + 10900","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -13*j + 17*j - 728. List the prime factors of j.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 179 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 4448*o**4 + 670*o**4 - 1821 - 411 + 2464*o**4 with respect to o.\nAnswer: 30328*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1745019 divided by 1?\nAnswer: 1745019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -51686 + 133457. What is the ten thousands digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -z + 1. Suppose 0*c + 60 = c. Let x be c\/14 - 16\/56. What is y(x)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - b = 0. Suppose 3*j = -b + 6. Solve -10 = j*w - 4 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*p + 30 - 2. Suppose p*m - 35 = 5*r + 4*m, -13 = 2*r - m. What is the units digit of (-32)\/(r\/1)*4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -50*n**3 + n**2 + 5*n + 14. Let l be j(-2). Calculate the highest common factor of l and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 48462948 divided by -23652?\nAnswer: -2049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 27374 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b + 3*g - 121 + 445 = 0, -4*g = -3*b + 250. Suppose -3*m = -7*z + 5*z - 88, 5*z + 155 = 5*m. What is the greatest common factor of m and b?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 38 = -2*l + 32 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -61\/64 and -4 + (-594)\/(-240) + 0 + 1?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 14\/15 and 384\/(-108)*(-6)\/(-46)?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.8 in -0.044, -8, 0.054?\nAnswer: 0.054","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 675*a + 418*a + 670*a + 675*a - 3118*a + 682*a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6049732?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4115014\/245 - 16796. Is 0 <= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + o = -6*u - 7, 4*u + 5*o + 29 = 0. Which is the fifth biggest value?  (a) 2  (b) u  (c) 7  (d) 2\/3  (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n = -2*n - 3*f - 255, 4*f = -2*n + 276. Find the common denominator of -31\/7 and (-3)\/4 - n\/(-80).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 802405289\/9939 - 80733. Let i = h + 19496\/1898349. Is i greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 123\/2270 and 109\/986088?\nAnswer: 4930440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kdii when four letters picked without replacement from {t: 1, d: 6, i: 2, k: 2}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vtb when three letters picked without replacement from dbtbidddbddvdi?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*w**3 - 2*w - 32*w**3 - 9*w**3 + 7*w**3.\nAnswer: -47*w**3 - 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -763 plus -56?\nAnswer: -819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 4 - 6)*(2*p + 18 - 19 - 3*p)*(1 + p - 1)*(-32 - 2 - 275).\nAnswer: 309*p**2 + 309*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0  (b) 0.293  (c) -2  (d) 4  (e) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ocuu when four letters picked without replacement from rcoooucrocoorouurc?\nAnswer: 7\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Product of -2.53 and -29.4.\nAnswer: 74.382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + k + 0)*(-3254*k + 4 + 3 + 3251*k).\nAnswer: -3*k**2 + 7*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 27616?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -35791, -35790, -35789, -35788?\nAnswer: -35787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 62842271911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -2*p + 1. Let d(b) = -b + 1. Let f(t) = 31*t - 16. Let u(k) = 5*d(k) + f(k). Let o(n) = 9*n - 4. Let w(g) = -7*o(g) + 2*u(g). Give 34*m(s) - 6*w(s).\nAnswer: -2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 140647 or 56\/37?\nAnswer: 56\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -q + 2. Let x be d(6). Let b be 4 - (-16)\/(x\/1). Suppose -4*l - 5*y = -125, b = 3*y - 1 - 2. What is the greatest common divisor of l and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -5 from -39.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from aoagogzzahzlohh. What is prob of sequence ohzh?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 29797 and 664?\nAnswer: 238376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 28 and 55482.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*q - 6*j + 9, 2*j + 873 = q + 874. Which is the nearest to q?  (a) -2046  (b) 0.5  (c) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -t**2 - t. Let n be c(0). Suppose z + 5 = n, 3*x + 4*z - 3 = -23. What is the smallest value in 18, x, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -62*n. Let g(s) be the third derivative of -s**6\/72 - 131*s**3\/6 + 11*s**2 - 5. Let q(w) be the first derivative of g(w). Give q(y(a)).\nAnswer: -19220*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find m such that -2*m**5\/5 + m**4 + 12*m**3\/5 - 47*m**2\/5 + 44*m\/5 - 12\/5 = 0.\nAnswer: -3, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -29 + (-18)\/(-90)*110.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 5*t - 2 = -3*a, -3*t = -3. Let f(u) = 22 + 5*u - u**2 + u - 24. Calculate the lowest common multiple of 6 and f(a).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -104*k**2 + 2*k + 5. Let r be p(-2). Let y = r - -457. What is the remainder when y is divided by 33?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 9 + -3. Suppose -4*v + b = -36, 2*v - h*v - b = -28. Let i(x) = -x**3 + 9*x**2 - 8*x. Let s be i(v). Solve s = -5*l + 3*l - 6 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(6\/11)*o)\/o**(2\/23)*o**(-1)*o*o*o*(o\/(o**(-4)*o))\/o)**0 assuming o is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.074 - 272.774. Let s = o - -69.8. What is s rounded to the nearest 10?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2\/13, 3, 1, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 126479 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 510548.355 to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7*(4\/28)\/(22\/539*-7)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ctc when three letters picked without replacement from {t: 11, c: 5}?\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 1100260 (base 8) in base 14?\nAnswer: 7977a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 309*n - 189*n + 396*n + 14448 = 0 for n.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00567633 rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -2*v**3 - 671*v**2 + 309*v - 9057. Calculate p(-336).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let 3\/2*d**2 + 183*d + 0 = 0. Calculate d.\nAnswer: -122, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1000010001001 (base 2) to base 13\nAnswer: -1c08","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from jyjjpyjzjpyjjpbjpzj?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n = 3*g + 97, 3*n + 91 = 7*n - g. Calculate the greatest common divisor of 55 and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -6*f**4 - 5*f**3 + 5*f**2 - 6. Let q(z) = 7*z**4 + 6*z**3 - 6*z**2 + 7. Let b(p) = 6*o(p) + 5*q(p). Differentiate b(c) wrt c.\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1438 is divided by 131.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) be the first derivative of 3*u**2 + 5*u + 1. Let s(m) = m + 1. Calculate 3*o(p) - 15*s(p).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(68) - (sqrt(68) - sqrt(68)*-1 - sqrt(68) - sqrt(68))*6)\/sqrt(4) + ((sqrt(204) + (sqrt(204)*-2 - sqrt(204) - sqrt(204)))*-1)\/sqrt(12).\nAnswer: 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, 154, 0.\nAnswer: 0, 0.2, 154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 1425496867 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 3*s = -4. Let z = -0.9 + 0.6. Let f = -144.5 - -140.5. What is the closest to -0.06 in f, s, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2 - 3. Let p be (-1)\/5 + 19\/z. Let x = p - -12. Solve -4*v - x = -0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -p**3 - 6 + 6 - 18*p**2.\nAnswer: -p**3 - 18*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 114731698.\nAnswer: 2, 57365849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29*w - 6 = 26*w. Does 2 divide 12 - 2*w\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 8323, 8387, 8453, 8521?\n\"Answer: i**2 + 61*i + 8261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 6.972417 to 0 decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 22111211 (base 3) to base 15.\nAnswer: 1c8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -86*h - 3267 = 82*h - 47*h for h.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1644*q + 134*q = -550*q - 107088 for q.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from biqqbbqb. What is prob of sequence bqb?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -307 = -h - 3*j, -4*j = -3*h + h + 574. Calculate the remainder when h is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:51 AM and 5:16 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -r**3 + 2*r**2 - r - 2. Let q be d(-2). Suppose q = x + x. Let k = 1037 + -1013. Calculate the greatest common factor of k and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -45*u + 2 = -43*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2142 + 223?\nAnswer: -1414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 3 - (3 - 1)*-1. Suppose 120 = 5*i - n*w, 4*i - w = -3*w + 90. Is i a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -q**3 - 14*q**2 - 22*q - 13. Let j be x(-12). Let t = 72 - j. What are the prime factors of t?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v**2\/17 + 24526*v\/17 + 122580\/17 = 0. What is v?\nAnswer: -12258, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.16051 rounded to two dps?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 168 - 167.8. Let y = 9 + -4. What is the nearest to 0 in o, 3, y?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 3 - 4)*(-2*u**2 + 2*u**2 - 2*u**2) + 0 + 0 - u**2.\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.25  (b) -0.2  (c) -1\/7  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 33\/5 of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -1295, 2, -1, 4, 25 in decreasing order.\nAnswer: 25, 4, 2, -1, -1295","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -j**3 - 10*j**2 - 5*j + 10. Let y(r) = r - 1. Let v(s) = c(s) + 4*y(s). Calculate the remainder when 45 is divided by v(-10).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 134 and 1474.\nAnswer: 1474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) be the first derivative of 2*l**3 - 237*l**2\/2 - 2711*l - 2954. What is the first derivative of t(v) wrt v?\nAnswer: 12*v - 237","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 577193040 divided by -324.\nAnswer: -1781460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 40099.761 minutes?\nAnswer: 27.84705625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0.4 * -3.481\nAnswer: -1.3924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 0 - 3 + 4. Suppose 0 = -15*u + 12*u - 12. Let t(v) = -v**3 - v**2 - v - 4. Calculate u*a(p) - t(p).\nAnswer: p**3 + p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (45*z**2 - 70*z**2 + 49*z**2)*(-3 + 2 + 0)*(4*z - 4*z - 2*z).\nAnswer: 48*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ttpppp. Give prob of picking 3 p.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 330*w + 317*w + 325*w + 327*w - 36 - 1274*w to the form b*w + a and give a.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 6*o**3 + 94*o**2 - 267*o + 35. Give q(-18).\nAnswer: 305","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-14)\/(-126)*15)\/((-4)\/3).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -11751498 by -22.\nAnswer: 534159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {u: 5, f: 11}?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x = -n + 28, -n + 217*x - 215*x = -13. Solve n = 23*y + 141 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -b**3 - 6*b - 32. Determine t(-6).\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2\/9, -1.06, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -108699450 by -3.\nAnswer: 36233150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (-4*sqrt(2)*3)**2.\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 101\/58 and 127\/290?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -3894 - -3899. Let i(u) = 4 + 2 + 20*u + 1. Let l(s) = -10*s - 4. Let d(j) = c*l(j) + 2*i(j). What is the first derivative of d(p) wrt p?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*g**3 - 2 + 3*g**3 + 3*g**3 + (-2*g**2 + 0*g + 0*g)*(2*g + 5*g - 4*g).\nAnswer: -4*g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/5?  (a) 2\/249  (b) -0.4  (c) -18  (d) -1  (e) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 5*v**2 - 2*v - 6. Let c(d) = -d**2 - d + 1. Let m(b) = 6*c(b) + s(b). Find the second derivative of m(i) wrt i.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express d + 2*d**3 + 6*d + 190 - 16*d + 10*d as p*d**3 + k + a*d**2 + q*d and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 186 a factor of 252774?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) be the first derivative of 43*w**2 - 22*w + 326. Differentiate z(h) wrt h.\nAnswer: 86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5956650?\nAnswer: 2, 3, 5, 7, 31, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -o - 11. What is v(-11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 55*m - 28*m - 33*m = 66 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 3831, 7663, 11501, 15345, 19195, 23051, 26913?\n\"Answer: 3*p**2 + 3823*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2\/15 - (-1 - 1046\/30). Solve 35*w - 23*w = t for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (f + 5*f - 3*f)*(49 - 49 - 13*f) + (-3 + 6 + 0)*(-1 - f**2 + 1) as r + k*f + n*f**2 and give n.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2\/65, -3, -10?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + 17548983845.\nAnswer: 17548983841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 623040 and 33893376.\nAnswer: 169466880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 3383860 and 497?\nAnswer: 23687020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = 9*a**2 + 2*a - 7. Let l be k(-3). Suppose 0 = -l*b + 62*b + 210. Let f = 39 - b. What is the lowest common multiple of f and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 + 8 - (-1 + -2 + 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0, -233, -3, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = 22*j + 5. Let g(i) = -1990*i. Determine g(f(d)).\nAnswer: -43780*d - 9950","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*k - 8, 169 = -2*d + 7*d - 2*k. Let b be d\/(-15) + (-3)\/(-15). What is the nearest to b in 2, -3, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4822 divided by 3?\nAnswer: 4822\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 60 divided by -15\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i + 319460 = 916760. What is i rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) be the third derivative of -q**4\/24 - 5*q**3\/6 - q**2. Let n = 15 + -15. Give f(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 23 - 14. Suppose -18 = -v + 6. Let m = v - 20. Solve -u = -m*t - 25 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:22 PM and 10:20 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 66*i + 66*i - 127*i + 181 - i**2 + 0*i**2. Let f be 0 - -1 - (0 + 1). Is r(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y = 5*x - 270, -4*x = -5*y - 6*x + 633. Suppose -36 + 191 = 4*j + 5*r, y = 3*j + 2*r. Calculate the remainder when j is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-7)\/(-56) - (-18271)\/605*(1 - 6\/16).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8722*i - 5*i**3 - 25914*i + 8596*i + 8596*i + 13*i**3.\nAnswer: 8*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (455*i + 420*i - 9 - 835*i)*(-2*i + 4*i - 3*i).\nAnswer: -40*i**2 + 9*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11644676*k = -11644785*k - 14279 for k.\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1020 + 1111011022002?\nAnswer: 1111011100022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -179 - 9?\nAnswer: -187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 55, 45, 29, 7?\n\"Answer: -3*d**2 - d + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -74 + 110. Does 6 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or -14410?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*x = 8*x - 2*b + 63 - 76, -40*x - 2*b = 124 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 4 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -6 or -462\/83?\nAnswer: -462\/83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 6142 a factor of 1663130760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 16026 + 1201?\nAnswer: 17227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 20464153709 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -268*u - 3528 = 1663 + 1717 - 1012 for u.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 1316*s - 291. What is the thousands digit of z(8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 896, 3957, 9196, 16625, 26256, 38101, 52172?\n\"Answer: 2*v**3 + 1077*v**2 - 184*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in one fifth of a second?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 1647976318?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*y**3 + 4*y**3 + 4*y**3 + (-3*y - 4*y + 5*y)*(-y**2 - 5*y**2 + 5*y**2) + y - y + 2*y**3 + 2*y - 2*y + 2*y**3.\nAnswer: 19*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 149 a factor of 186870706?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - t + 25 = 5*p, 4*p - 7 = t. Suppose -4*d + 48 - 40 = 0. Suppose 1470 = t*w - k, 308 = w - 5*k + d*k. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s + 4*w - 52 = 0, 3*s - 33 = -2*s + 3*w. What is the closest to 0.2 in s, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (32 + 13 + -19)*2\/24*3.\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -16388, -16298, -16208?\nAnswer: -16118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 30552 and 11400?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n - 10 = 3*o, 6*n - 3*n + 11 = -4*o. Put -2, 3, 0, -7, n in descending order.\nAnswer: 3, 0, n, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + sqrt(125) + (6*(sqrt(125) + -3))**2 + sqrt(125) + -5 + -1.\nAnswer: -1070*sqrt(5) + 4816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) be the third derivative of 6*s**2 + 0 + 1\/10*s**5 + 0*s**4 + 4\/3*s**3 + 0*s. Differentiate y(k) wrt k.\nAnswer: 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 1, g: 2, d: 6, p: 2}. What is prob of sequence ppgf?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -214404, -428733, -643028, -857289, -1071516?\nAnswer: -1285709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (2\/2 - 0)*-1. Let m = -2 - l. Let w be 3 + m + 1 + -1. Solve 3*t = 4*j + 16, 5 = -j + 3*t - w*t for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 7 + 17*w**2 - 7*w - 1 + 1 + 0. Suppose -8 - 8 = -4*z. Is c(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 305*q - 1611 = 296*q. What is the remainder when 1034 is divided by q?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = p**2 - 7*p - 11. Let y be o(9). Let k be (-3)\/(-6)*(-3 - -3). Solve -4*d + y + 5 = k for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*u - 5*s - 45 + 5, 0 = 2*u + s + 16 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2\/2 + (87206 - (-16 - 2)).\nAnswer: 3, 5, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 2*h**3 + 5*h**2 - h + 2. Let k(x) = 3*x**3 + 8*x**2 - 2*x + 3. Let j(f) = 7*i(f) - 5*k(f). What is the remainder when 33 is divided by j(-6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = j**3 - 16*j**2 + 14*j + 2. Let q = -49 + 64. Determine i(q).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 394324?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 20 + -7. Let o = -10 + n. Solve -s + 2*s + 2 = 0, -o*t = s - 4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 948107762 + -76438?\nAnswer: 948031324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:52 PM and 3:16 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5 - 9 = 3*y + r, 0 = 2*r - 10 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*n - 14, 17*g - 18*g - 6 = -n. Let m(p) = 2*p - 4. Let x(o) be the third derivative of o**3\/6 + o**2. Give g*m(u) - x(u).\nAnswer: 2*u - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:53 AM and 8:05 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -46*s + 9*s + 36*s. Let l = -4 + 2. Let c(i) = -i**3 - 2*i. Calculate l*y(w) + c(w).\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.22 - -9.\nAnswer: 8.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 3549*w + 42387. Give z(-12).\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-1560)\/(-2304)*3\/6 and -143\/288.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*n - 1 + 1 + 1979*n**3 + n**2.\nAnswer: 1979*n**3 + n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 1868957?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-10)\/(-3))\/(33\/9 - 3). Suppose 13*c = 44 - j. Suppose -12 - 48 = -4*l. What is the highest common divisor of c and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2383.2 times -33?\nAnswer: -78645.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -21 + -4?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 0.5326931 decades?\nAnswer: 5.326931","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -510*o - 3962052 = 118*o. Is o >= -6309?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 298 + -293. Let b = 11\/19 + 187\/38. Which is smaller: b or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.02813099 to 5 dps.\nAnswer: -0.02813","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 14297, 28566, 42817, 57050, 71265, 85462?\n\"Answer: -9*x**2 + 14296*x + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*l**(-28)*l**(-2)\/l)\/(l*l*l**(-2\/47)\/l)**(-33) assuming l is positive.\nAnswer: l**(75\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 129703670 to the nearest 100000.\nAnswer: 129700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.15?  (a) 18\/11  (b) 15\/7  (c) 27\/2  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = a + 4*a + 2*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 2027 and 20764.96?\nAnswer: 18737.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve j - 3*w - 7 = 0, 165*j - 169*j + 14 = -5*w for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -810 = -27*j - 18*j + 2205. Solve j = -30*y - 53 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -1\/1883 and 36\/2959.\nAnswer: 20713","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -47*c**3 - 14*c**2 - c - 1. Calculate the smallest common multiple of x(-1) and 18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 5, 0.5, 6\/11, -1\/4, -6\/7?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.1, 5\/2, 1, 0.4771, -2\/23, -0.2, 0.4?\nAnswer: 0.4771","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -1\/4  (b) -3\/2  (c) 2\/11  (d) 95\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 6468 and 11319.\nAnswer: 45276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 850905 is divided by 11049?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) be the second derivative of -1\/3*g**3 + 0 + 0*g**2 + 20*g. Let q(t) = 10*t - 1. What is q(x(m))?\nAnswer: -20*m - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, 2\/5, -3, -25142, 3, 3\/7 in descending order.\nAnswer: 3, 3\/7, 2\/5, 0.2, -3, -25142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 121123 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (10\/(-110))\/(4\/((-16)\/(-2)))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -27 + 19. What is the third biggest value in r, 1\/4, 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d = 4*d - 4*w + 16, -4*d - 5*w = 11. List the prime factors of (-210)\/(-175)*(2 + (-462)\/d).\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -221481875 divided by 5.\nAnswer: -44296375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 7\/145212 and 145\/12.\nAnswer: 145212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rtrrlrtlftrrf. Give prob of picking 1 f and 2 r.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 49435173 a multiple of 1503?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 18 - 23 - 854\/(-170). Which is bigger: 1\/4 or n?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 + 5 - 2)*(-4 + 1 + 1)*(-2*l + 2 - 2)*(-2*l + 5*l - 2*l) - 4*l**2 + 4*l**2 + 2*l**2 as s*l + w + u*l**2 and give u.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -12660 + 12665. Which is the biggest value?  (a) 3\/2  (b) 1\/2  (c) -4  (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 160 + -101. Let h = -56 + b. Suppose 0 = -3*z + 2*c + 579 + 1114, -1683 = -3*z - h*c. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w - 24 = 36. Suppose 0 = 5*l + 9*i - 14*i - 75, -4*l = 2*i - 84. Find the third derivative of -w + 20 - l*h**5 - 14*h**2 wrt h.\nAnswer: -1140*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-8)\/(-30)*(-2451)\/(-3268)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (1232\/(-110))\/((-3)\/135). Calculate the highest common factor of 16 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 93*j**5 + 3*j**4 + 49*j**3 + 8864*j**2 - j.\nAnswer: 5580*j**2 + 72*j + 294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-236)\/(-30) + (-90)\/(-675) - 8. Which is smaller: -114\/29 or n?\nAnswer: -114\/29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -511 + 519.5. Is o <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -193\/3234 and -53\/127204.\nAnswer: 381612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 96?  (a) 2  (b) 3\/16  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 56*c - 226 = -2. Solve -20*h - 4*n - 27 = -25*h, 5*n + 27 = c*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -f**3 - 5*f**2 - 2*f - 4. Suppose -2 = c - 1. Let t = c - 1. Let j be (20\/(-12))\/(t\/(-6)). What is l(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 276651193 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 135 + (-3)\/(-1) + -2. Let x = -18 + 18. Suppose x = 6*u - 84 - 18. Calculate the greatest common factor of u and n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-7 + 8)\/((-3)\/9))\/2\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.02, 1, -5, -1\/3?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) be the second derivative of -g**7\/210 - g**3\/3 + 3*g**2\/2 + 2*g. Let w(r) be the first derivative of b(r). Differentiate w(h) with respect to h.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 150119?\nAnswer: 19, 7901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(475)*2)**2 + (1 + sqrt(19))**2*2.\nAnswer: 4*sqrt(19) + 1940","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 11 + -6. Let a = j - 3.6. Round a to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 24 + 36?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (8\/10)\/(2\/10). Suppose -d + c + 21 = 2*c, 0 = -s*d - 3*c + 83. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-132)\/(-16))\/((-1450086)\/(-2768))?\nAnswer: 2\/127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) be the third derivative of 0 - 1\/5*q**3 + 0*q - 9\/100*q**5 + 7\/40*q**4 + 1\/40*q**6 + 8*q**2 - 1\/350*q**7. Factor x(c).\nAnswer: -3*(c - 2)*(c - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 725 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 150.4 - 143. Which is greater: w or 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*m**3 + 5*m + 2 + 6 - 5 + 10*m**2 + 391*m**4 - 392*m**4 to l + d*m + s*m**3 + k*m**2 + y*m**4 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -46, -43, -32, -7, 38, 109, 212?\nAnswer: 353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 122431 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = p**2 - 10. Let r = 19 - 14. Suppose -6*t + t + r = -5*v, 0 = -t + 5*v + 5. What is c(t)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 1.34062 and 57734.\nAnswer: 57735.34062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 4*o - 8. Let j be 2 - (81\/9)\/9. Calculate the highest common divisor of o and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*s**2 - 282*s - 279 = 0. What is s?\nAnswer: -93, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*i**2\/2 - 375*i - 46875\/2.\nAnswer: -3*(i + 125)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 60*f**2. Let r(s) be the first derivative of 0*s + 44 + 0*s**2 - 1\/3*s**3. Calculate k(r(h)).\nAnswer: 60*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -4085 + 42663. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.17 - 7.83. Sort 3, -1\/7, t in decreasing order.\nAnswer: 3, -1\/7, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 465 and 6.\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 725, 739, 763, 797, 841?\n\"Answer: 5*l**2 - l + 721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-34 + 8 - 2)*(0 - 2 + 0)*(4*q + 4*q - 2 + 0*q).\nAnswer: 448*q - 112","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 22 + -19. Suppose -2*u + 5*x = -198, -7 + v = 2*x. List the prime factors of u.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20480431 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -27, -1, 41, 105, 197, 323, 489, 701?\n\"Answer: g**3 + 2*g**2 + 13*g - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = 2*r**3 - 3*r**2 + 3*r - 1. Let d(v) = v**2 + 2. Let u be d(0). Let o be a(u). Suppose -22 - 30 = -5*t - 4*x, o = 3*x. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h + 20 = -4*l, 20*h = -2*l + 18*h for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) be the second derivative of 13*c**5\/20 + 10*c**3\/3 - 1595*c**2\/2 - 43*c - 8. Find the first derivative of z(f) wrt f.\nAnswer: 39*f**2 + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = z. Determine y(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -401231722 or -401231724?\nAnswer: -401231722","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2626, -38, -5, 0.4?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v - 4*u = -13, -3*v = -u + 6*u - 8. Let l be v\/3 + (-1)\/(-3). Suppose 116*a + 8943 = 10799. Calculate the highest common factor of l and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -46217 - -11?\nAnswer: -46206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -175*r - 167*r + 344*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 times -56.34?\nAnswer: 56.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.82 + -0.29. Let u = 20.47 + h. Let f = 22 - u. Which is the closest to 0?  (a) 0.2  (b) -5  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24*k = 19*k + 10 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: ((-8)\/(-5))\/((-10)\/(-25))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 24, 38, 54, 72?\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 257 - 252. Suppose 2*g + 18 = -5*c + 7*c, 0 = -3*c + l*g + 25. Solve -4 - 10 = 4*n + 2*q, -4*n + 2*q = c for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -12063, -12069, -12081, -12099, -12123?\n\"Answer: -3*x**2 + 3*x - 12063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4699778 to the nearest integer?\nAnswer: 2168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -7a9 + -2?\nAnswer: -7ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 406213 less than 39?\nAnswer: -406174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 1, o: 11, w: 2, p: 1, i: 1, u: 2}. Give prob of picking 1 q and 2 o.\nAnswer: 55\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -223 = -u + 198. What are the prime factors of u?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23 + 7 = -6*i. Let l be (i\/15)\/((-2)\/6*1). Let q(z) = 5*z**2 - 2*z + 1. What is q(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 22493 to the power of 1\/2, to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h + 5*t + 180 = 6*h, 139 = 4*h - 3*t. Suppose -61 = -v + 3*r, 4*r + 33 + h = v. Does 12 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8671 - -8669 - (0 + (0 - 18)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add together -58189697 and -0.38.\nAnswer: -58189697.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 2\/(-4)*(18 - 24)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5\/3, 28, 2\/7, 0.076 in increasing order.\nAnswer: -5\/3, 0.076, 2\/7, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 67 - 50. What is the remainder when 66 is divided by s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z = 5*t + 25, -4*t - 19 = -0*t - 5*z. Let u be 51\/6 + (-9)\/t. Suppose -6*m = -8*m - u. Which is smaller: m or -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 - (8 + -2 + -8)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 68378 greater than or equal to -22.01?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 45*f - 351 = -j + 47*f, -1474 = -4*j - 2*f. What is the remainder when j is divided by 44?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -i - 2*s + 3, -3*i - s = -10. Solve w + 14 = 4*t, -15*w + 3*t = -17*w + i for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2)\/(-8) - 28\/(-16). Let s = 0.029 + -0.129. Is s < p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 622008000?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = q + 3. Let v be -9 + (12 + 4)\/4. Give j(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -x + 10. Let h be p(16). Let f = 8 + h. Let w be -4 + (f - 1) - 2057. What is w rounded to the nearest one hundred?\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -23862 - -23869. Suppose -4*h = -27 + 7. Solve 13 = -h*c - i for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 85 is divided by 77.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4236?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 2334841 a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -265947259.5 rounded to the nearest 10000?\nAnswer: -265950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 + -634.3?\nAnswer: -634.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -21 + 30. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 27 + -35. Let d = 7.5 + u. What is the second biggest value in d, -20, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 36, 368, 700, 1032, 1364?\nAnswer: 1696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 32 and 44.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3 - 2. Suppose -3*n - 5*r + 8 = n, -n - 2*r - b = 0. Suppose z + 3*y = 9, -z - z = 3*y - 21. What is the remainder when z is divided by n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -8*d**2 + d - 634. Let r(o) = 11*o**2 - o + 634. Give 3*q(s) + 2*r(s).\nAnswer: -2*s**2 + s - 634","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -18, -3 in decreasing order.\nAnswer: -3, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2\/17  (b) 2  (c) 23.53\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -96.209423 rounded to the nearest integer?\nAnswer: -96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 146341233.\nAnswer: 3, 1303, 12479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 109038743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = j**2 - 3*j - 2. Let h be ((-10)\/(-3))\/((-4)\/(-6)). Let q be x(h). Does 12 divide (82\/q)\/(7\/28)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 209 - 142. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 17, 32, 49, 68, 89, 112, 137?\nAnswer: 164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -11079, -11213, -11427, -11721, -12095, -12549?\n\"Answer: -40*s**2 - 14*s - 11025","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 23 + -17. Let y = 7 - k. Calculate the smallest common multiple of y and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1344 (base 9) to base 12.\nAnswer: -704","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -14.84 * -14\nAnswer: 207.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 - 3 + 5)*(4*q - q + 0*q)*(14 - 16 - 28 + (5 - 4 + 1)*(-3 - 1 + 6)).\nAnswer: 156*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -32 + 42. Suppose -5*a + n = -4*o, 5*a - 8 = -o + a. Suppose -2*z + 7*b + 33 = 2*b, z - 2*b - 14 = 0. Solve -z = -m - o for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 6*z - 1. Let b be (-2)\/11 + 7\/((-154)\/18). What is k(b)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in twenty-one fifths of a kilogram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -7?  (a) -10  (b) -2  (c) -1\/2  (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) be the third derivative of 35*g**4\/12 + 2*g**3\/3 + 43*g**2 + 29*g. Give l(1).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 15467, 61289, 137659, 244577, 382043, 550057, 748619?\nAnswer: 977729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -600, 1\/4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 15463 (base 12) in base 11?\nAnswer: 20618","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38 = l + 2*d - 114, -3*d = -2*l + 124. Suppose -5*o + l = -37. Suppose 0 = 4*p - 5*y - 41, p + 3*y = -2*y - o. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:16 AM and 4:56 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -165*f**3 - 47*f**3 + f**2 - f**2.\nAnswer: -212*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) be the third derivative of t**7\/105 + 13*t**6\/60 + 23*t**5\/15 + t**4 - 24*t**3 + 76*t**2 + 2*t. Let i(z) = 0. What is z?\nAnswer: -6, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(170)\/sqrt(5) - sqrt(34))*-5)\/sqrt(2) + -5 + (-4 + 3*(sqrt(17) - (-3*sqrt(833) + sqrt(17))))**2.\nAnswer: -504*sqrt(17) + 67484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -11 + 12. Let u be (x + (3 - 1))*1. Suppose -3*l = -r - l + 12, 0 = -r - 3*l - u. Solve -f = f + r for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 8 + -4. Let r = t - 4. Suppose -2*n - 4*h + 48 = -r*h, 0 = 4*n - h - 78. Solve 5*u = n, 7*s + 2 = 2*s - 2*u for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -67 in 2\/85, 0.3, 0.2, 94?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 25191 is divided by 86?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -1949*g**2 + 9*g + 1946*g**2 + 3*g - 4 - 22*g. Determine v(4).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 1\/12 and -149\/876?\nAnswer: 876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 4, h: 3, y: 2, a: 1, p: 1, s: 4}. What is prob of sequence hy?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 145\/542064 and -23\/88380.\nAnswer: 8130960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 8, -6, -32, -64, -96, -122, -136?\n\"Answer: j**3 - 12*j**2 + 15*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 39a9 - -4?\nAnswer: 39b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2.2 - 0.8. Let k = -6.12 - -0.12. Let f = k - -6.5. Which is the second smallest value?  (a) f  (b) l  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 164 + -1441?\nAnswer: -1266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 11321 + -11320.7. What is the closest to 1\/23 in 0.055, 1\/6, v, -2?\nAnswer: 0.055","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (19 - -1) + 301 + -320 + 19?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 2*u**3 + 12*u**2 - 4*u + 3. Let f(l) = -5*l**3 - 23*l**2 + 9*l - 7. Calculate -4*f(a) - 9*x(a).\nAnswer: 2*a**3 - 16*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 477 divided by 419704.\nAnswer: 477\/419704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -7867, -15696, -23527, -31360?\nAnswer: -39195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 423 + 135. Let h = k + -166. Calculate the greatest common divisor of h and 112.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 60894293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 4 + 2)*(41*l**3 - 15*l**4 - 41*l**3).\nAnswer: 15*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2 + (3 - 2))*-5. Let b be q*(-1 - (-9)\/(-5)). Let i = 21 + b. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -r**3\/12 - 363*r**2 - 2177*r\/3.\nAnswer: -r*(r + 2)*(r + 4354)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -41*d + 76*d + 32 - 36*d. Let a be y(-7). Suppose -23 = 4*n - a. Solve 5 = -n*i - 7 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7271913?\nAnswer: 3, 11, 220361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -11 + -323020?\nAnswer: -323031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.63 + -0.62969. What is b rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7889056289 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -25 + (3 + -5 - -13) - -8.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -600*b**3 - 599*b**3 - 602*b**3 + 2995*b**3 - 596*b**3 - 601*b**3.\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) be the first derivative of x**4\/4 + 4*x**3\/3 + 3*x**2\/2 + 4*x + 6. Let c(n) = n - 3. Let y be c(0). Let k be a(y). Let r(q) = -2*q + 5. Determine r(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -8 - (-16 - (-9 + 19))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 minutes before 3:19 PM?\nAnswer: 3:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 176 and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) be the first derivative of -13 + 3 + m - 9*m**2 + 5. Does 12 divide l(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 28819 to the power of 1\/2, to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 740 (base 8) in base 16?\nAnswer: 1e0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o + 3*o = 32. Suppose 0 = o*h - 7*h. Solve 8 = -4*c - h*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = y**2 - 27*y - 140. Let m be v(32). Solve -5*u - 6*x + x = -m, 4*u - 10 = -2*x for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15 = 5*q - 7*i + 3*i, -9 = -3*q - 2*i for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from {t: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 100 a factor of (-5)\/(60\/(-398409)) - (1 - (-12)\/(-48))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -l + 1. Let j(q) = -q**2 + q - 8. Let z(x) = -x**2 - 1. Let b(s) = -j(s) + 3*z(s). Let t = -86584 + 86583. Give t*b(m) + 5*i(m).\nAnswer: 2*m**2 - 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*l**3 - 16 + 17*l**3 - 26 + 0 to j*l**2 + q*l + m + n*l**3 and give n.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -356*k - 30. Let o be n(-9). Is (-6)\/(-24) + (-2)\/((-16)\/o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) be the third derivative of 1\/240*f**6 + 0 + 0*f**3 + 1\/120*f**5 + 3*f**2 + 0*f**4 + 0*f. Let a(x) = 0. What is x?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 633378132.\nAnswer: 2, 3, 43, 619, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -63.49 + 58.49. Which is the smallest value?  (a) -3\/7  (b) w  (c) 3\/52  (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-5940)\/(-720))\/((-9)\/(-24))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -46 at most 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 2*l = 24, -n + 2*l = -0*n - 8. Suppose n*y = 3*y + 90. Let x = 13 - -57. Calculate the remainder when x is divided by y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20 = -103*l - 83 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = p**2 + 4*p + 5. Let g be w(-5). Suppose g = -0*j + j. Let r = 16 - j. Solve -k = k - r for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-3)\/((-18)\/(-8)))\/2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1120111 - -122200?\nAnswer: -220211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + 6*(-1 + sqrt(76))*6 + -5 + 5)**2 + -2.\nAnswer: -5760*sqrt(19) + 100094","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-16)\/(-18)*(-306)\/(-68). Let x(a) be the second derivative of a**3\/3 + 3*a**2\/2 - 2*a. Let o(n) = n. What is u*o(h) - x(h)?\nAnswer: 2*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*z + z + z)*(-4 + 1 + 1) + 214*z - 138*z + 160*z + 202*z.\nAnswer: 442*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = a**2 + 209*a - 1248. What is p(6)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -10 + 5. Let g be 175\/(-140) + (-74)\/(-72). Sort x, 4, g in ascending order.\nAnswer: x, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.61 + -0.76. What is w rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2378281?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1 + -1. Suppose s + 3*s + 24 = v. Let w = s - -14. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = s**2 + 9*s - 29. What is the units digit of h(-22)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 21*b + 28*b - 65*b + 1 to s + z*b and give z.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6*j**3 + 4*j**3 - 5*j**3 + (-j - j**2 + j)*(-3 + 1 + 1)*(4 - 4 + 6*j).\nAnswer: 11*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*c - 2*w + 5*w + 27, w = -2*c + 18. Is (c + -5 - -2148) + -3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -66*h*o - 132617822*h - 215301*o wrt o.\nAnswer: -66*h - 215301","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p + 4*a + 5 = 0, 3*p + 2 + 1 = 5*a. Let f be 3 + 1 + 0 + p. Let u be 14\/f - (-6)\/(-9). Solve 4*i = 5*c - 4, -3*i - u*c = 1 + 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.9999997 micrograms to tonnes.\nAnswer: 0.0000000000009999997","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25 = -3*x - h, 332*x = 336*x + 5*h - 37 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4 + 4 - 7)*(-35*k**2 + 42*k**2 + 23*k**2)*(-7*k + 2*k + 4*k) to c*k**3 + q*k + s + j*k**2 and give c.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -2*l - 10. Let c(x) = 4*x + 20. Let u(t) = -5*b(t) - 2*c(t). Let z be u(-4). Factor -4*r**4 + 9*r**4 + 3*r**2 - 2*r**z - 6*r**2.\nAnswer: 5*r**2*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j + 5*c - 139 = 20, 0 = j + 2*c - 79. Suppose 1077 = f + 5*m, -2*m = -2*f + j + 2077. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v - 3*r + 159 = 0, 0*v = -2*v - r + 102. Suppose 2*g = g + 25. What is the remainder when v is divided by g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -5327, -7\/3, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1603742 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 27 + -24?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12142 is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 2383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -d**2 + 8*d. Let t be o(5). Is 5 a factor of (t\/45)\/((-2)\/(-156))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.3, -2, 4, -30, 2\/7 in decreasing order.\nAnswer: 4, 0.3, 2\/7, -2, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -13717480 to the nearest one hundred thousand.\nAnswer: -13700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -d + 3. Let k(t) = t - 5. Let l(p) = -3*k(p) - 5*m(p). Let f(b) = -486 + 486 - 3*b. Give l(f(i)).\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 84209.3548 rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/4 of a kilometer in meters?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -9?  (a) -2  (b) 3  (c) 9240\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 2.78*-0.07\nAnswer: -0.1946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n + 642591652 = 12*z - 8*z, 4*z = 0. Suppose n = -17*y + 56607913. What is y rounded to the nearest 100000?\nAnswer: -6100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.8 * -6.\nAnswer: -4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 9 - 15. What is the units digit of (102\/k)\/((-2)\/4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*z - 5*a - 200 = -3*z, 4*z - a - 278 = 0. Is z a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 639 divide 31364037?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 788 - 91064*d + 91064*d - 78 - d**2.\nAnswer: -d**2 + 710","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 65.96817t in grams?\nAnswer: 65968170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -26*s**2 + 2480*s + 36. What is o(95)?\nAnswer: 986","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4370.\nAnswer: 2, 5, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -948567, -3794272, -8537113, -15177090?\nAnswer: -23714203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0 - -4. Let b = 14 + -20. Let m(z) = -z**3 - 7*z**2 - 7*z + 1. Let k be m(b). Solve -f*p = -k*p + 15 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*p = 4*t - 31, 5*t - 44*p = -40*p for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 277002 is divided by 276995?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*o + 2*y - 20, -30 = -0*o - 3*o + 2*y. Let j be (o\/25 - (-8)\/5)*-1. Let n = j - -12. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3671?\nAnswer: 3671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = h**2. Let r(y) = y**2. Let p(z) = 3*g(z) - 2*r(z). Let l(v) = -10*v**2 - 9*v**2 - 52*v**2 - 24*v**2 + 4*v**2. Determine l(p(k)).\nAnswer: -91*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4862*j**2*m**2 + 4741*j*m**2 - m**2 wrt j?\nAnswer: -9724*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1561\/6 - -84295\/324. What is the common denominator of v and -35\/144?\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -99, 2\/19, 0.5 in descending order.\nAnswer: 0.5, 2\/19, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pgx when three letters picked without replacement from pgpxggccgp.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = x - 9. Let q be h(5). Is 6\/q*(-1 - 1) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -b**2 - 9*b + 4. Let j be x(-9). Suppose 6 = j*p - 6. Suppose -2*h + p = h. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + (7 + -16 - (29 - (-6 - -6)))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) be the third derivative of -13*z**8\/168 + 3*z**6\/40 - z**5\/15 + 13*z**4\/24 + 143*z**2. Find the third derivative of s(a) wrt a.\nAnswer: -1560*a**2 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) be the second derivative of c**5\/150 - c**4\/15 - c**3\/45 + 2*c**2\/5 - 19*c + 4. Find k, given that w(k) = 0.\nAnswer: -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 49661 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-24)\/32)\/(((-180)\/16)\/5).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from nhhhhhnno.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -4, 2.17, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 127 minutes after 9:11 AM?\nAnswer: 11:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.3, -1, -0.4, 47, 9468\/13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 2, e: 1, f: 5, y: 1, r: 1}. What is prob of picking 1 y, 1 r, 1 k, and 1 f?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 6032130 and 1365?\nAnswer: 42224910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -3*h + 5. Let s(m) = 16*m + 2 - 5*m - h*m - 8*m. Let q(x) be the first derivative of -3*x**2\/2 - 5*x - 5. Determine -4*q(y) - 11*s(y).\nAnswer: y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 49240 = -56*b - 35*b + 2447181. List the prime factors of b.\nAnswer: 13, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2825 = -45*m + 89*m + 69*m for m.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 10234.51 - 10174. Let c = -60.7 + l. What is c rounded to two decimal places?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**(-1\/7)\/(d*d\/(d**4*d))*d\/(d*d**(-2))*d*d**6 assuming d is positive.\nAnswer: d**(83\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 156 a factor of 11082?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 470240389 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*i**2 + 39212248*i - 192200049151688.\nAnswer: -2*(i - 9803062)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.6 + 1.6. What is the nearest to u in 2, -5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -1876*g**2 - 35643*g + 15. Let v be j(-19). Suppose 4*q + y + 4 = 0, -2*q + 3*y = -q - 12. Which is the nearest to q?  (a) 2  (b) v  (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-4)\/6 - (12\/9 - -1). Put 4, l, 0 in ascending order.\nAnswer: l, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 24*j - 30. Let f be a(3). Suppose 7 - f = -5*s. Suppose -s*x + 12*x - 20 = 0. Solve 2*p = 3*h - 7, -p = -h - x*h + 7 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -44366964, -88733926, -133100888?\n\"Answer: -44366962*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 232 and 5974?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 275694?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -117*o - 1209. Give n(-9).\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = 5*s. Let t(b) = 4*b - 1. Give 3*h(j) - 4*t(j).\nAnswer: -j + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 8*l - 8. Let u(a) = -45*a + 47. Let m(i) = -34*t(i) - 6*u(i). Determine m(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*w = 24 + 54. Let r be 2\/w*123\/82. Which is smaller: r or -85?\nAnswer: -85","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r + m - 5261 = 0, 329*r = 327*r - m + 3507. Calculate the remainder when r is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-999)\/99 + 9)*11.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is a72a61 (base 11) in base 12?\nAnswer: 6a9720","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3678 is divided by 603?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3323725501 to the nearest integer?\nAnswer: 1492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(187)\/sqrt(44) + (sqrt(68) - sqrt(68)*2)\/sqrt(4) - (3 + (sqrt(187)\/(sqrt(44) + sqrt(132)\/sqrt(3)))**2).\nAnswer: -65\/16 - sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = 16*g - 48. Let i be v(4). Put i, -6, 5, 1 in decreasing order.\nAnswer: i, 5, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -63\/25 and -36\/25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(sqrt(2) + 1)*-4.\nAnswer: 12 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 8\/(4 - 1 - 5). Let v(a) = 0 + 2*a**2 + 2*a - 5 - a**2. Determine v(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (7\/(-12)*-3)\/((-30)\/360).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1832043 + 2?\nAnswer: 1832045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 3 - 1)*(8*k**5 - 3*k**5 + k**5) + 69 - 144 + 11*k**5 + 54.\nAnswer: 23*k**5 - 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -29834*s + 34942*s + 28855*s.\nAnswer: 33963*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 543435.\nAnswer: 3, 5, 36229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5 + 3*(sqrt(1377) + 2*sqrt(1377)))*6)**2.\nAnswer: -29160*sqrt(17) + 4016232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l = 8, 3*m + 11*l - 16 = 6*l. Is (m - 17)\/3 + (-1400)\/(-2) a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 44718332.098 - 6.2\nAnswer: 44718325.898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -1*(4\/9)\/(30\/135)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 46*t - 51*t = -100, 3*t - 65 = 4*p + p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 3\/5 of a micrometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -43\/16860 and -47\/30910.\nAnswer: 185460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 1155727 to the power of 1\/2, to the nearest integer?\nAnswer: 1075","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - (0 + 86)) + 458 + -442 + 8.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let -16*m**3 - 809094*m**2 + 2124000*m + 910278 = 0. What is m?\nAnswer: -50571, -3\/8, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) be the third derivative of -143*v**4\/24 + 175*v**3\/3 - 279*v**2. What is the derivative of s(q) wrt q?\nAnswer: -143","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -7\/4?  (a) -26  (b) 4  (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 53 minutes before 5:00 PM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 827091?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 194, -5, 5, 0, -12 in descending order.\nAnswer: 194, 5, 0, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -941  (b) -3\/2  (c) 2  (d) -2\/25  (e) -8  (f) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r*r\/r**(-1\/6)*r)\/r*r*r**(-3\/4)\/r)\/(r**(-1\/4))**(2\/87))**(5\/4) assuming r is positive.\nAnswer: r**(825\/464)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d**(-1\/3))**28*d\/d**(-5\/4)*(d**(-2\/29)\/d*d)\/d assuming d is positive.\nAnswer: d**(6907\/348)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.55?  (a) 0.5  (b) 8  (c) -0.3  (d) -4\/97\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 5 - -459d9?\nAnswer: 45a00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 6269 + 472?\nAnswer: 6741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide 57828869 by 553.\nAnswer: 104573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -7307 - -11469. Is b a multiple of 101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-22)\/(-4)*((-3800)\/(-114))\/(-50)?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 4 times 71\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -534 = 5*x - 969. Calculate the remainder when x is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3503228 and 472688.\nAnswer: 3812","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 17 and 3791.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (sqrt(2880) - (sqrt(2880) - 5*sqrt(2880)*1))\/(-6*sqrt(81) + sqrt(72)\/sqrt(72)).\nAnswer: -120*sqrt(5)\/53 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3083?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -57\/1987414 and -83\/1375902.\nAnswer: 17886726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) be the second derivative of 3*h - 1\/60*h**6 - 1\/4*h**4 + 1\/10*h**5 - 1\/4*h**2 + 1\/3*h**3 + 0. Factor u(a).\nAnswer: -(a - 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*d + 12 = -42. Solve d*f + 3*f = 18 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w + j - 25 = -9*w, 0 = j. Solve -w*n = 3*a - a - 27, -2*a - 4*n + 22 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is u in u**3\/5 - 103*u**2\/5 + 591*u\/5 - 873\/5 = 0?\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1 - -10204420?\nAnswer: 10204414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/(-3*(-33)\/(-36)).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -53*u - 67. Let h(q) = -q - 1. Let x(p) = -f(p) + 4*h(p). What is the tens digit of x(12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**0*o**(-4)*(o*o\/(o\/o**6)*o*o)\/o**1)**(6\/17) assuming o is positive.\nAnswer: o**(24\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 49032505 divided by -1.\nAnswer: -49032505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(25)\/sqrt(5)*2 - 6*(sqrt(5) + -1).\nAnswer: -4*sqrt(5) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 1848192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -49 - -36 - (4 - 4).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 1990 + 3897 = 0. Let c = v + -3712. Let q(y) = -2175 + c - 2*y**2. Let l(p) = 101*p. What is q(l(s))?\nAnswer: -20402*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 6\/23  (b) 18  (c) 0.5  (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Total of -80 and 1.145102732088.\nAnswer: -78.854897267912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 695 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lqqe when four letters picked without replacement from llmooomeomqqmlmmlooo?\nAnswer: 1\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -578*b - 16188. Determine q(-28).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 203120 (base 5) in base 7?\nAnswer: 25263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -91159, -91112, -91065, -91018, -90971?\n\"Answer: 47*v - 91206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = k**2 + 19*k - 19. Let w(v) = v**2 + 2*v - 7. Calculate the smallest common multiple of s(-20) and w(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) be the first derivative of -2*f**3\/3 + f**2\/2 - f + 3. Let z(q) be the first derivative of n(q). Is z(-5) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.4, 3, 1, 543\/134?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -110 - -100010011000?\nAnswer: 100010010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/3?  (a) -0.4  (b) -0.2  (c) 144  (d) -5\/16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -4 or -334679?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 3, -3, 0, 410, 9, -2 in descending order.\nAnswer: 410, 9, 3, 0, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (5 + -1)\/(-4) - -43?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3212970*s**2 - 2*s - 604920.\nAnswer: -6425940","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -127*l**3 - 203 wrt l?\nAnswer: -381*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -61*p**3 - 11*p**2 - 11*p + 11. Let i(x) = 12*x**3 + 2*x**2 + 2*x - 2. What is -2*d(f) - 11*i(f)?\nAnswer: -10*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 41015*t - 41019*t = -5*q + 16, -3*t - 12 = -2*q for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 = 3*x - 10. Let f = 4 - x. Sort 0, -1, f.\nAnswer: f, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = 3*l**3 + 71*l**2 - 85*l + 369. Determine x(-25).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1682.609 - 1675.8. What is k rounded to 1 decimal place?\nAnswer: 6.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 523.7344 to the nearest ten.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -113017 take away -0.03098?\nAnswer: -113016.96902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1904)\/18496*-34*(-72)\/(-238).\nAnswer: 18\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = g**3 + 14*g**2 - g - 8. Let y be d(-14). What is the third derivative of -9*l**2 - 5*l**y - 38*l**5 + 21*l**6 + 38*l**5 wrt l?\nAnswer: 1920*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2762 = -334*m + 142 - 1388 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from iiuuibiiiiueuu. Give prob of sequence bue.\nAnswer: 5\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -1524 (base 7) in base 12?\nAnswer: -426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 5 - 2. What is the second derivative of 0*b - 4*b**3 - 4*b + 12*b**r wrt b?\nAnswer: 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-4 + (-24)\/(-5))*-5. Let v be (-16)\/12*15\/w. Suppose v + 2 = q. What is the remainder when 16 is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 - -74) + ((37 - 5) + -24 - 3).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -26 - -81. Let x be 40299\/(-33) + 10\/m. Let a be 1\/4 - x\/44. Calculate the greatest common factor of a and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 30\/48*(-3)\/(-30)*16\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 y and 1 d when four letters picked without replacement from {y: 8, d: 3}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 1699785008 to the power of 1\/2, to the nearest integer?\nAnswer: 41228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1459*n**2*r**2 + 18*n**2*x - 3*n*r**2*x**3 - n*r*x**3 - 195*r wrt r.\nAnswer: -2918*n**2 - 6*n*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/7*(-350)\/125\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 6*f**2 - 72*f - 162. Let v(b) = 3*b**2 - 38*b - 81. Let n(t) = 5*k(t) - 9*v(t). Solve n(y) = 0.\nAnswer: -3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j*j**(-4)*j*j**(-4\/19)*j*j\/(j*j*j**15*j)*j*j**16*j*j*j assuming j is positive.\nAnswer: j**(34\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2337*f**2 + 856*f?\nAnswer: 4674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 4, h: 10}. Give prob of sequence rhr.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -6.9 + -0.0574?\nAnswer: -6.9574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9644 is divided by 322?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-10)\/(-4)*(-36)\/(-30). Suppose c*g = -g - 16. Let y = -0.1 + 5.1. Sort -2, y, g in descending order.\nAnswer: y, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = -10*w + 7326. Suppose 8*m - 1154 = w. Suppose m = -10*g - 204. Which is bigger: g or -44?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 109981 - -d?\nAnswer: 10998e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1697232 and 33744?\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -418*z - 352 = 408*z - 810*z for z.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -35 = 12*m + 49 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7778237.\nAnswer: 7778237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/2516 or 0.1?\nAnswer: 1\/2516","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3742, 3727, 3678, 3577, 3406?\nAnswer: 3147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 283766*h - f + 95 = 283771*h + 3*f, -2*h + 3*f = -15 for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 153*w + 1734 = 25143. Solve -159 + w = 6*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*d**2 + 114*d - 216.\nAnswer: -3*(d - 36)*(d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2185*p**2 - 2610*p**2 - 8661*p**2 to m*p**2 + q*p + h and give m.\nAnswer: -9086","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (259\/111)\/((-269)\/(-807))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (16\/(-36))\/(9\/(-27)). Let v = 5\/3 - 4\/3. Put v, 5, i in descending order.\nAnswer: 5, i, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = 7*z**2 + 4*z + 3. Let o be j(-2). Let n = 25 - o. Suppose 0 = -2*k - n*k + 72. 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: Round -103.6799 to 1 decimal place.\nAnswer: -103.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22135*q**2 + 44279*q**2 - 22180*q**2.\nAnswer: -36*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (12\/9)\/(22\/(12936\/28)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -89 - 97 = 43*t - 37*t for t.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*t - 4 - 26 = 0. Solve 0 = -2*d + t*d - 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2000 + -200?\nAnswer: -2200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w + n - 65 = 0, 4*n - 22 = -3*w - 0*n. Suppose -5*u + 37 - 7 = 5*i, -12 = -3*u. Calculate the least common multiple of w and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q - 38 = 5*t - 10*t, 4*t + 5*q = 44. Let x = t + -6. Let a(y) = y + 2. Give a(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26 = -3*x + 4. Let q(d) = d**2 - 151*d + 762. What is the remainder when q(5) is divided by x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rsoomm. Give prob of picking 3 r.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 217, -2, -1, 3 in decreasing order.\nAnswer: 217, 3, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 524478536.\nAnswer: 2, 65559817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = 143*x. Let a(h) = 118440*h**2. Give u(a(g)).\nAnswer: 16936920*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 4581514 divided by -4\nAnswer: -2290757\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 104*w**4 + 2*w**3 - 9935*w**2 + 13390398*w.\nAnswer: 1248*w**2 + 12*w - 19870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Add together 7210781984 and -0.35703.\nAnswer: 7210781983.64297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 3*x = -8*x + 28, 5*x + 212 = 4*z. Suppose -c - z = -5*c. Suppose 2 = -d + c. Calculate the highest common factor of d and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) be the second derivative of -f**7\/42 + 7*f**4\/12 + 9*f**3\/2 - 55*f. Find the second derivative of r(d) wrt d.\nAnswer: -20*d**3 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*2*(-2 + sqrt(288)))**2.\nAnswer: -768*sqrt(2) + 4672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = 1023*p + 2053. What is a(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 97 + -93. Suppose -o*f + 4819 = 2*r - 4665, -5*r - 2360 = -f. Let c = f - 487. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d**5\/3 + 332*d**4\/3 + 2591*d**3\/3 - 332*d**2\/3 - 864*d = 0. What is d?\nAnswer: -324, -8, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*s**3 + 10*s**2 + 55*s - 60.\nAnswer: -5*(s - 4)*(s - 1)*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 4 - 1)*(-2*j**2 - 3*j**2 + 0*j**2) + (-6 + 6 - 4*j)*(-j + 2*j + 0*j + (1 - 1 + j)*(0 + 0 + 1)).\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-3)\/(-24)*-4 - (-10)\/4. Round b to zero decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z - 2*q + 18 = 2*q, -3*z = -2*q - 3. Let u(s) be the second derivative of s**4\/12 + s**3\/3 - 2*s - 32. What is u(z)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = 34*t + 33. Suppose -g - 4*y - 21 = 0, 18 = 2*g - 5*y + y. Let w be a(g). Which is smaller: 1\/387 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k + 6 = 8*k. Is k\/10 - (-752)\/40 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*n - 7*n + 20. Let i = -5.17 - -1.17. Which is the third biggest value?  (a) 3  (b) i  (c) n  (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z = -4*r + 5 - 23, 5*r = -z - 21. Is 1\/11 at least z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 690 minutes after 5:53 AM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 5*z**2 + 50*z - 6. What are the prime factors of t(-16)?\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2744331?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find b such that -b**5 + 53*b**4 - 153*b**3 + 151*b**2 - 50*b = 0.\nAnswer: 0, 1, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f - 7 = 3*t + 178, 5*f - 205 = 3*t. Let q = t - -65. Suppose v = -3*r + 8, q = 5*v + r - 4*r - 22. Solve -v*a - 10 = 5*s, 0 = -3*s + 2 + 1 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -9 - 274b0?\nAnswer: -274b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 366 minutes after 3:42 AM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = -3*d + 2*x - 9, -9 = 4*d + 5*x. Let t(j) = -6*j**2 + 10*j + 79. Let c(w) = 2*w**2 - 3*w - 26. Let i(q) = 7*c(q) + 2*t(q). Is i(d) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 124 and 6347876?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((m**(-5\/6)*m\/(m**(-9)*m))**(2\/121))**(-43))**(-35) assuming m is positive.\nAnswer: m**(73745\/363)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 6 in -0.5, 2, -0.2, -35?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -118 = -k - 0*k. Suppose 859*m - 1360 = 779*m. Calculate the remainder when k is divided by m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2311235 (base 7) to base 3.\nAnswer: 112122212102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 217725481 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -34632*h - 658006. What is s(-19)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) 2  (b) -218  (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:25 PM and 7:45 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q*q*q**(-2\/5)*q*q)**(11\/3)*(q**2*q)**(-32) assuming q is positive.\nAnswer: q**(-1187\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*j**2 + 2 - 1 + 3950*j - 3994*j to the form w*j + k + l*j**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(((sqrt(28) - -1*sqrt(700))\/(3*sqrt(16)))**2 + 5)*-4.\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/7, 40, -1\/2, -3, -5 in decreasing order.\nAnswer: 40, -1\/7, -1\/2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-76)\/418)\/(36\/(-11))?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:15 PM and 8:13 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = 2040*i**2. Let j(b) = -3*b. Give j(h(q)).\nAnswer: -6120*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 146.09513 to the nearest ten.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 2811, 5618, 8423, 11226?\n\"Answer: -n**2 + 2810*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 394?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -13*l - 6. Let p(g) = g**2. Determine i(p(a)).\nAnswer: -13*a**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8506594?\nAnswer: 2, 353, 12049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (u + 0*u + 0*u)*(0 - 3 + 4) + 2*u - 4 + 4 + (-5*u + 3 - 3)*(2 - 2 + 2) - 6*u - u - 3*u + 3*u - 3*u + 3*u.\nAnswer: -14*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 575 minutes before 3:42 AM?\nAnswer: 6:07 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: Let v = -338 - -340. Solve 0*x = x + v for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -7 and -17398397.\nAnswer: 121788779","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 619842, 1239688, 1859536, 2479386?\n\"Answer: p**2 + 619843*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -0.1 * -0.05381353\nAnswer: 0.005381353","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 374, 376, 378, 380, 382?\nAnswer: 384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 41212 (base 11) to base 6\nAnswer: 1142250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 51*c - 19 = -70. Let z(r) be the second derivative of 0 + 1\/2*r**2 + 1\/3*r**3 + 3*r. Determine z(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**(1\/2))**(-21\/2))**(-34)\/((d*((d*d**(2\/5))\/d)\/d)\/(d*d*d**6*d)*(d*d\/(d\/((d\/(d\/d**(-1\/6)))\/d)))\/d**(-2\/21)) assuming d is positive.\nAnswer: d**(6551\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find u such that 2*u**3 + 24*u**2 + 18*u - 44 = 0.\nAnswer: -11, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + 5 - (8 + (-3 - 3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 74 - 41 - (1 - (-1 + -5) - -4)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 627 minutes before 3:01 AM?\nAnswer: 4:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 100 and 116425.\nAnswer: 465700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 3*l - 24. Let v be p(11). Does 60 divide 18265\/30 - v - (-2)\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in j**3 - 354689*j + 354689*j.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9130?\nAnswer: 2, 5, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 101220 - -210020221?\nAnswer: 210122211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -n**2 - 6*n + 5. Suppose -6*l - 18 = -3*l. What is the remainder when 28 is divided by c(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 27*y**3 + 216*y**2 - 12*y - 8. Let z be r(-8). Calculate the greatest common factor of z and 143.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1985 is divided by 496.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 53233 is divided by 26015?\nAnswer: 1203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (-26)\/42*(61768\/3640 + -17)?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 4*h = -26, 3*h + 2*h + 22 = -c. Suppose c*v + v = 736. Suppose 4*g = 100 + v. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 1430801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7 = 3*n - 4*l, -n - 4*l + 16 = -3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + 4*sqrt(3) + 3 + 2 + ((sqrt(81)\/(sqrt(3)*-4))\/sqrt(9))**2.\nAnswer: 3\/16 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 662 minutes before 6:10 PM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 96 is divided by 26?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4258.609 meters to kilometers.\nAnswer: 4.258609","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j + 20 = j. Suppose -3*g + j*g = 3. Suppose 2*b = -g*b + 35. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -20215 (base 8) to base 15\nAnswer: -2708","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 32 (base 15) to base 5\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 73956868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*m + 84022 + 8*m**3 - 84022.\nAnswer: 8*m**3 - 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 750*h**2 + h + 69. What is the remainder when g(2) is divided by 612?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 779532347 a multiple of 2490?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -775 divided by 2979.\nAnswer: -775\/2979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -57785246184 - 0.0374\nAnswer: -57785246184.0374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/2, 23, -12\/11, 11, 1\/4, 0 in descending order.\nAnswer: 23, 11, 3\/2, 1\/4, 0, -12\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*p + 4*f - 100, -2*f = -7*f - 20. Which is the second biggest value?  (a) p  (b) -0.5  (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(96) + sqrt(96)*2)*5)\/sqrt(8).\nAnswer: 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-2)\/6 + (-304)\/(-48). Let y = c + -11. Suppose 0 = 4*t + 7 + 1. Put y, t, 7 in ascending order.\nAnswer: y, t, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -115 + 226. Suppose 7*d = n + 36. Let o = 43 + 20. Calculate the highest common factor of o and d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 24868484.\nAnswer: 2, 17, 229, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -f**2. Let y(a) = -4 + 3*a**2 + 4. Calculate x(y(i)).\nAnswer: -9*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-766*f + 2 + 753*f - 1)*(-5*f + 2*f + 0*f).\nAnswer: 39*f**2 - 3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -76*z - 14 = -75*z. Let u be (z\/16 - -1)*2. Find t, given that -1\/4*t**4 + 1\/2*t - 1\/2*t**3 + 0 + u*t**2 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 90, -3, -2\/7?\nAnswer: 90","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 3\/5 of a gram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 32\/5 of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -16*a + 7. Let h be s(2). Let o = h + 18. Let n(r) = -r - 7. Let j(d) = 1. Let y(f) = -2*j(f) - n(f). What is y(o)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 4*l = 144, g - 3*l + 8*l = 65. Is 14 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/(-16)*(4\/8)\/(57\/(-76))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5ded (base 15) to base 3.\nAnswer: 1000110121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -115*q - 70*q + 78*q = 213*q - 14400 for q.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a - 10*c + 15*c + 21 = 0, 5*a - c = 35. Let t(g) be the third derivative of 0*g - 1\/4*g**4 + g**2 + 0 - 7\/6*g**3 + 1\/60*g**5. Determine t(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 56251?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 737 is divided by 81.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (252\/(-162))\/(-2 - 50\/(-45))?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*u - 2*d - 1 = -3*u, -2*u + 12 = d for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 284 + -284.0000125. Round s to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3*r**4 + 446*r**3 + 557*r**2.\nAnswer: 72*r + 2676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uueeeueueuueue. Give prob of sequence uuuu.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) be the first derivative of -2*v**3 - 7*v**2\/2 + 16*v - 3. Let x be w(-9). Calculate the common denominator of (86\/6)\/(x\/33) and 75\/8.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 505518*i**2 - 590017*i?\nAnswer: 1011036","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = 2*n - n - 1 + 5. Let m be z(-9). Sort 2\/11, -0.2, m in ascending order.\nAnswer: m, -0.2, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -383, -346, -285, -200, -91?\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 47, -1\/3, 2\/15, -5.\nAnswer: -5, -1\/3, 2\/15, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1144322872?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 674113 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -26*d**2 - 24*d + 224. Let y(o) = 2*o**2 + 2*o + 1. Calculate -j(g) - 12*y(g).\nAnswer: 2*g**2 - 236","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.8 - 0.2. Which is the nearest to w?  (a) -1\/3  (b) -0.4  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -5055 - -21?\nAnswer: -5034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-82)\/(-92) - -1) + -1. Let g be (2\/69)\/((-12)\/(-2255)). Let m = g - y. Calculate the common denominator of 79\/8 and m.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/3?  (a) -7  (b) 3\/26  (c) 7\/12  (d) 1.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) be the third derivative of p**8\/28 - 7*p**5\/30 - 9*p**2. What is the third derivative of k(y) wrt y?\nAnswer: 720*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i = 75 + 45. Is i a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.061 - -0.139. Let j = 3 + -1. Let w be (-2 + 1)\/(1 - j). Which is the nearest to w?  (a) p  (b) -2  (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + (-13 - (2 + -2 + -6)) - -7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s = -i + 100, -5*s + 2*s + 2*i = -64. What is the remainder when 47 is divided by s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*l**5\/8 - 213*l**4\/4 - 3399*l**3\/8 - 4017*l**2\/4 - 1605*l\/2 - 171 = 0 for l.\nAnswer: -38, -6, -2, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l = y - 13, 3*l - 1 + 4 = -5*y. Let n be (l\/18)\/((-4)\/(-6)). Let i be 2\/36 + (-14)\/28. What is the third biggest value in -0.3, i, n?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2044 (base 8) to base 5.\nAnswer: 13220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6*w + 3*w + 9*w**2 + w - 13 - 38 + 68 to the form m + b*w**2 + f*w and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1312631 is divided by 437539?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-15)\/12*(-2)\/5*1.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40*g**3 + 457452*g**2 - 1307958192*g + 392346288 = 0. Calculate g.\nAnswer: 3\/10, 5718","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 643 minutes before 2:12 PM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*y**2 + 5*y**2 - 7*y**2)*(y**2 + 9 - 9) + (6*y**3 - 3*y**3 - 4*y**3)*(-4*y + y + y) + (2*y - 2*y**2 - 2*y)*(20 - 6*y**2 - 20).\nAnswer: 9*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.016, 2\/3, -1\/7, -4, 695?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39*v + 41*v - 4*n + 2 = 0, -4*v - n - 22 = 0. What is the common denominator of -85\/16 and -3 - v\/((-80)\/(-67))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) be the second derivative of 2*p**2 - 22*p + 0 - 2\/3*p**4 - 2*p**3 + 1\/20*p**5. Let v be s(9). Which is bigger: -3 or v?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c - 3*q = -80, -2*c = -0*q - 3*q + 40. What is the common denominator of (-274)\/c*-1 - -2 and (9\/12)\/((-1)\/(-29))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aat when three letters picked without replacement from ataaaataaaaaaata?\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 11254111 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-6)\/3)\/(6\/501). Let s = c + 338. Does 32 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 306, 304, 302, 300, 298, 296?\n\"Answer: -2*q + 308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 7*l - 1. Let o(w) = -39*w + 562. Calculate -6*n(s) - o(s).\nAnswer: -3*s - 556","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8629896 is divided by 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -82*n + 79*n + 12 = 4*d, -5*n - d + 3 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) be the third derivative of b**6\/120 + 7*b**5\/15 - 4*b**4\/3 - 89*b**3\/6 - 3948*b**2. Determine l(-29).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -3, 0.5206, -1, -4?\nAnswer: 0.5206","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((0 + sqrt(208))*4 - (sqrt(208) + 2*sqrt(208))*-4)**2 + -4 + (sqrt(208) - (2 + sqrt(208))*-1 - sqrt(208)))*-4.\nAnswer: -212984 - 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-7)\/14)\/((-36)\/32))\/(320\/1560)?\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 16142, 16138, 16134, 16130, 16126, 16122?\n\"Answer: -4*p + 16146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (301 - 5 - 207) + (-26 - 0)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 864757 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 32 a factor of -2*(1 + -87 + -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1595*l - 4 = 1599*l. What is the closest to -2 in -1\/5, l, -1\/38?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2883.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*x - 5*f + 21, 42*x - 47*x = 3*f - 10 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2437*f - 7306*f + 2438*f + 2438*f.\nAnswer: 7*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = v**2 - 1. Let b(j) = -2*j**2 + 6*j + 6. Let r(x) = -b(x) - y(x). Give r(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -15*q**2 + 12261*q - 17136.\nAnswer: -3*(q - 816)*(5*q - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((2345\/4)\/(-5))\/(3\/12). Let v = -163 - i. Is 18 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2648574 and 2152?\nAnswer: 538","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -10, -0.1, 1, -3?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9086*v - 3701*v - 12046*v - 21318*v.\nAnswer: -46151*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) be the second derivative of -g**5\/20 - 5*g**4\/4 - g**3\/6 - 8*g**2 - 411*g. What is h(-15)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1767094 to the nearest integer?\nAnswer: 1329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j = -4*f + 12781, -3*f + 8*f = -5*j + 15965. Let a = f + -28819\/9. Find the common denominator of -109\/12 and a.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10+-3686903253016\nAnswer: -3686903253026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -2*s**3 - 78*s**2 + 75*s - 91. Give d(-40).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q = 5*h - 40, 4*h + 7 = 4*q - 1. Suppose -180 = -5*l + 4*k, h*l + 3*k - 130 = k. Is 8 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = 3 - 2*t - 3. Let v(q) be the first derivative of -8*q**2 - 715. Determine v(d(a)).\nAnswer: 32*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -2 - (9\/90 + -2)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.1, -2\/7, -1\/5, 0.094, -3\/5, 11\/3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -885663880 divided by -2.\nAnswer: 442831940","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 2426975.021 rounded to the nearest 10000?\nAnswer: 2430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -1062658 (base 11) to base 6\nAnswer: -103532202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3657 + -1987. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + 2*i = -6. Let w(q) be the second derivative of -1\/5*q**5 - 2*q + 0 + 1\/6*q**4 + 0*q**2 + 1\/3*q**i. Let w(o) = 0. What is o?\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1294565545 to the power of 1\/2, to the nearest integer?\nAnswer: 35980","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 214118029 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) be the second derivative of -117*q**7\/7 + 149*q**4\/12 - q**3\/6 - 774*q. Find the third derivative of c(d) wrt d.\nAnswer: -42120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.12059*54\nAnswer: 6.51186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 4.3  (b) 2  (c) -261.3  (d) 0.1  (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2\/(-4) + 50\/4. Suppose 5 = -p*c + 17*c. Which is smaller: c or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 539\/(-121)*((-2)\/((-2)\/(-5)))\/(7070\/(-1212)).\nAnswer: -42\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) be the second derivative of 0*u**3 + 0 + 23\/2*u**2 - 77*u + 1\/4*u**4 - 3\/10*u**5. Find the first derivative of x(h) wrt h.\nAnswer: -18*h**2 + 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*y**3 - 4*y - 3*y**3 - 2*y + 13*y**3.\nAnswer: 5*y**3 - 6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 99675 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = 2*b - 3. Let x(a) = -a + 3. Let w(l) = l**2 + 4*l. Let o be w(-4). Let y be x(o). Let d(p) = 3*p - 5. Calculate y*d(g) - 5*i(g).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2605*r**4 + 5*r**3*s**2 - 4*s**2 + 84*s - 15 with respect to r.\nAnswer: -10420*r**3 + 15*r**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (44*p - 21*p - 21*p)*(-11 + 28 + 1).\nAnswer: 36*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -23389 - -17805. Put -3, b, -2 in decreasing order.\nAnswer: -2, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1043 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) be the second derivative of 0*v**2 + 0 + 4\/21*v**3 + 19\/21*v**4 - 14*v. Suppose u(l) = 0. What is l?\nAnswer: -2\/19, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*i - 41 = -2*k + 17, -63791*k + 63789*k + 48 = -i for k.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 8\/(-6) - (-21)\/(189\/30). Solve 2*q + 4 = -z*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -k + 5, -2*c + 5*k + 3 = 0. Suppose m + 1690 - 1709 = t, 4*m + 3*t = 13. Solve -2*v + 4*u = m, -5*v = -4*v + c*u - 25 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*z = -4*z + 20. Let n = -49 - -54. Solve z = -0*k - n*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 2 v when three letters picked without replacement from {a: 3, d: 1, v: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 505 minutes before 10:05 PM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*j**2 + 10*j**2 - 60*j**2)*(j - 3*j**2 - j)*(3 - j - 3).\nAnswer: -138*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: d (base 15) to base 13\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ccccgcggccbcbbcbggcg. Give prob of sequence bc.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -t - 1. Let y be i(-8). Suppose y = -4*p - 3*p. Let k be (3 - 29)*p\/2 - 3. Solve 5*n = -0*n + k for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 11\/2 of a minute?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -9642036 (base 10) to base 13\nAnswer: -1cc7961","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 21538501 is divided by 5138.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-50)\/(-18) + 2\/9. Solve 10 = -d - 2*d + 4*o, y*d + 4*o = -2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f - 3*h + 17 = -46, 0 = -2*h. Let p = f + 159. Is 16 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/3, -47, -4 in descending order.\nAnswer: 1\/3, -4, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -24 + 32. Is 2 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 725760 and 480?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -1656, -3403, -5238, -7161?\n\"Answer: -44*k**2 - 1615*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*f - 36 = -5*c + 6*f, 5*c + 3*f = 8 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h = -14 - 3. Let t = h + 21. Suppose 4*j - t*z + z = 50, -3*j + 23 = 5*z. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*c + 2*c + 2*c)*(-2*c**2 + 0*c**2 + 0*c**2) - c**3 + 0*c**3 - 2*c**3 + 4*c**3 + 4 - 9529*c**2 - 3 + 9530*c**2.\nAnswer: 3*c**3 + c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y - 3*v - 10 = -v, 5*v = 4*y - 21 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.219 in 1, -5\/6, -1438?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -6*(3\/(-2) + 1). Suppose t*g + 2*g = -s + 133, 101 = 4*g - s. What is the remainder when 51 is divided by g?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -128*n + 23*n - 417*n.\nAnswer: -522*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (h + h - 3*h)*((2 + 3 - 4)*(3*h - 3*h - 2*h) - 3*h - 3*h + 5*h - h - 4*h + 0*h).\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -z**3 + 2*z**2 - z + 5. Let u(g) = -3*g**2 - 9*g - 4. Let f be u(-2). Let s be k(f). Solve -4*p + 9 = -3*b + 21, -b + s = -p for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -9251*g + 73997. Determine w(8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -31.58997444 + 31.59. Round j to 6 decimal places.\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 g and 2 j when four letters picked without replacement from {q: 4, z: 3, j: 3, u: 5, g: 3}?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k = -g + 1025, -g + 1035 = 5*k + 2*g. What is t in 25*t - 232*t**3 + 24*t + 216*t**3 + 3*t - k*t**2 = 0?\nAnswer: -13, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/5*(1 + 0) + (43434\/1170 - 36).\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -31, -20, 83, 326, 757, 1424, 2375, 3658?\n\"Answer: 8*q**3 - 2*q**2 - 39*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/(-6)*(14 - 17))\/(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) be the third derivative of 1\/75*q**7 - 5 + 0*q + 1\/100*q**6 + 7\/30*q**4 - 1\/840*q**8 + 0*q**3 - 23\/150*q**5 + q**2. What is i in p(i) = 0?\nAnswer: -2, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 - (3 + -1 + -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3*(-1 + 2) - (-12 + 10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1492047 and 31755.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 720*z**3 + 137*z**3 + 238*z**3 - 1093*z**3.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 492 divided by 123\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h - 2*h = 0, -c - 2*h + 4 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -5*f**2 + 4*f. Suppose 2*q + 2*q = 4*b + 24, -4*q = -3*b - 25. Let j(c) be the first derivative of -c**3 + c**2 + 15. Calculate q*j(l) - 4*v(l).\nAnswer: -l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 36362 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 25258505431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 7592*i**3 - 3*i**2 - 6*i - 7. Let w be d(-3). What is w rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*i + 5*i + n - 631, -n = i - 127. Let x = i - 61. What are the prime factors of x?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 509*h**2 - h. Let q(s) = 13*s. Give g(q(j)).\nAnswer: 86021*j**2 - 13*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 9*a - 2745 = -12*a, -5*h - 3*a + 6840 = 0. Suppose -6*w - h = -11*w. Is w a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -0.5, -445.7, -7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 18912 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (2 - 5) + -1 + 1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 70788787 to the power of 1\/2, to the nearest integer?\nAnswer: 8414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 1, -1144, -3.\nAnswer: -1144, -3, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -46 - -64. Suppose -5*r + 4*r = -d. Find the third derivative of 13*m**3 + 4*m**2 - r*m**3 + 0*m**2 wrt m.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -101\/6 and 49\/256.\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 928 = 6*b - 56. Let r = 167 - b. Suppose 0 = -5*h + 52 + 68. Calculate the highest common divisor of h and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = w**2 + 5*w - 240. Give m(13).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = z + 12. Let o be p(-7). Solve o*l - 4 = 6 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 - -2 - (-2 + 2 - 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*f = 24*f + h + 1365, 5*f + 5*h - 3375 = 0. Is f a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 212 - 85*z**2 - 212 + 234*z**2.\nAnswer: 149*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -3*c + 200. Calculate the remainder when j(21) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1297 divided by -186.\nAnswer: 1297\/186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y\/(y*y**(-14)\/y*y)*y\/((y\/(y*y**(-1\/5)*y))\/y))\/(y**(-1\/5))**(-15))**(2\/21) assuming y is positive.\nAnswer: y**(46\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 60372269 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 2 b when three letters picked without replacement from blppppbbpppbb.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*s - s**2 + 0*s)*(-3 - 1 + 0)*(s - 3*s + 3*s) to the form n*s + i + c*s**3 + x*s**2 and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hmfheeeaaefehapeeah. Give prob of picking 1 f, 1 a, and 2 e.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 3.108127ug?\nAnswer: 0.000000000003108127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 63367709?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 102109\/17 - 6009. Let x = w + 1484\/153. What is the common denominator of x and 45\/2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 + 52 - 3) + (-40 - -24)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*a**3 + 7*a**2 + a**4 + 2 - 5*a**2 - 2*a**3 + 0*a**3 in the form l*a**2 + w*a**4 + r + p*a**3 + d*a and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*m**3 - m**2 - 5*m**3 - 3*m**2 to q*m + k*m**3 + h*m**2 + b and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 6893644?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -b6755 (base 13) to base 16\nAnswer: -5039e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -115 + 130. Calculate the remainder when 57 is divided by o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 26293.\nAnswer: 26293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 25522 is divided by 22639?\nAnswer: 2883","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 3500 = 4*b, b + 0*f = f + 880. List the prime factors of b.\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 89282196?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = c. Let a(q) = -15 - 3 - 10477*q + 10464*q. What is a(r(n))?\nAnswer: -13*n - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 11 + -4. Suppose 3*t - 7*t = 4*r - 1228, 5*r + 3*t - 1537 = 0. Let a be 10\/8 - 2 - r\/(-112). Solve -4*o + 2 = -a*p - 2, -p = o - k for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -a**5\/4 + 3*a**4\/2 - 3*a**3 + 5*a**2\/2 - 3*a\/4 = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 z, 1 b, and 1 x when four letters picked without replacement from xbbbbbxbebzebzezxxz.\nAnswer: 16\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -2*s**2 + s**2 + 3*s**2 + 0*s**2. Let k(q) = 3*q. Give k(i(g)).\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) be the first derivative of 2*r**6\/3 - 6*r**4 + 32*r**3\/3 - 6*r**2 + 1331. Suppose f(q) = 0. Calculate q.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 218328 and 5940?\nAnswer: 9824760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -652 divided by -2.\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -323 and -5?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 3 = -7. Let z(k) = -k**5 - k + 1. Let x(q) = -3*q**5 + 5*q**4 + 4*q**3 + q**2 - 5*q + 5. Let g(h) = d*z(h) - x(h). Solve g(l) = 0.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q + 2*i - 4374 = 20838, -63021 = -5*q - 2*i. Calculate the remainder when q is divided by 191.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-10)\/25 + (-34)\/(-10). Suppose -24 = 5*p - 2*m - m, 12 = -p - s*m. Let f = 6 + p. Let g(l) = l**2 + 1. Give g(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 3*m**2 - 5*m + 4. Let n(i) = 3*i**2 - 6*i + 5. Calculate 5*n(k) - 6*t(k).\nAnswer: -3*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -190 divided by -405?\nAnswer: 38\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 9*o**5 + o**4*t + o**3*t + 16*o - 6*t - 3 wrt o.\nAnswer: 180*o**3 + 12*o**2*t + 6*o*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (sqrt(2432)*2 + sqrt(2432))\/(sqrt(12)\/sqrt(6)*-3).\nAnswer: -8*sqrt(19) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 37*d - 40*d = -1800. Is 24 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1*2)\/((-31)\/558*45)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 27550438?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2.1694 + -0.1694. Put y, 1\/145, -2, 1\/9 in ascending order.\nAnswer: -2, 1\/145, 1\/9, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -v**3 + 3*v**2 + 13*v - 10. Let h be u(5). Suppose -139 - 921 = h*l. Let p = -83 - l. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2325625*s**3\/2 - 68422219225*s**2\/2 - 89734052*s - 58842 = 0. Calculate s.\nAnswer: -29421, -2\/1525","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (558 + 2*l - l - 684)*(-9*l**2 + 3*l - 3*l + (0 + 5 - 3)*(2*l**2 - 1 + 1)).\nAnswer: -5*l**3 + 630*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 69\/4, 3, -3, -1\/2, 0.5?\nAnswer: 69\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 42879*x - 42809*x + 1260 for x.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -76*h + 73*h. Suppose -6*x + 344 = -h*x. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2*(8 - -4)\/3. Let s be (-60)\/b*(-9)\/((-135)\/(-10)). Solve -g + 9 = -2*c, -g + 10 = -s*c - 11 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 59 minutes after 9:23 AM?\nAnswer: 10:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 15*c**4 - 120 - 1051 + 91*c**4 - 108 wrt c?\nAnswer: 424*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 43\/48 and -47\/30?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express -b**2 + 0*b**2 - b**2 + (-2*b + 6*b + 0*b)*(-3*b - 4*b + 4*b) in the form a + n*b**2 + d*b and give n.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3 + -3. Suppose v - 27 = -z. Let n = 2 - -8. Calculate the remainder when z is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 6848 and 4455.843.\nAnswer: 11303.843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 531, 563, 595?\n\"Answer: 32*m + 499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 155453149 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - (3 + 4) - -7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w - 8 - 12 = 0. Suppose 0*p - 69 = 2*f + p, 0 = f - w*p + 7. What is the units digit of 1\/(-5) - f\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.5  (b) -1  (c) -0.4  (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*j**2 + 0*j**2 + 3*j**2)*(j**2 + 3*j**2 - 2*j**2 + (-79*j + 35*j - 4 + 48*j)*(-3*j + 4*j + 3*j)*(-2 + 2 - 16)*(-3 + 4 - 3)).\nAnswer: -1028*j**4 + 1024*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*g - 9 = 3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 27072 divided by -16.\nAnswer: -1692","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -439*o - 94*o - 4064 = 79*o + 42448 for o.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -111000010111 + 100?\nAnswer: -111000010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -40.83 - -45.83. Sort 0.3, 624, z in ascending order.\nAnswer: 0.3, z, 624","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -36 + 35. Put -5, 4, t, 1 in ascending order.\nAnswer: -5, t, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 600?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 583 - 410. Suppose -4*u = -3*w + 146, 0*w + u + y = 4*w. Is 15 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -2*d**2 - 23*d + 4. Let o be u(-6). Calculate the highest common factor of o and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 7 + 6)*((-2*x - 3*x + 3*x)*(2*x**2 + x**2 - 2*x**2) + 0 + x**3 + 0 + (-2*x**2 + x**2 + 2*x**2)*(0*x + 2*x - x) - 5*x**3 + 6*x**3 + 5*x**3).\nAnswer: 6*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 8501104?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 252708 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 351 and 523317249?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 279 is divided by (4254\/(-4963))\/((-1)\/245*2).\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6 (base 14) to base 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -3205 - -77?\nAnswer: -3117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-2)\/(-54))\/(10\/60). Let c(q) be the first derivative of -v*q**3 + 1\/3*q**2 + 2\/3*q - 1\/6*q**4 + 2. Find m, given that c(m) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 6 + -9. Let r = -3.37249 + 3.51249. Sort 0.4, f, -2, r in descending order.\nAnswer: 0.4, r, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*s**4 + 0 + 0 + (-s**4 + 5*s**4 - 5*s**4)*(-4 + 2 + 3) + 2*s - 2*s**4 - 2*s + (8*s**2 + 0 - 10*s**2 - 5)*(s + 1 - 1)*(3*s - s - 4*s).\nAnswer: 3*s**4 + 10*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*m**3\/13 - 92*m**2\/13 + 178*m\/13 - 88\/13 = 0. Calculate m.\nAnswer: 1, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 1149 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (15\/(-16))\/(17898\/23864)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 9, 98, 241, 432, 665, 934?\nAnswer: 1233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 5, k: 1, j: 2, c: 2, m: 5, l: 2}. Give prob of sequence ijci.\nAnswer: 1\/714","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 216\/(-81)*((-6)\/7)\/((-4088)\/49).\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*m - 10*m + 19 = 0. Is m at least as big as -1\/182?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e and 1 l when two letters picked without replacement from rlezqgzq?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 9 = -3. Suppose 3*m - 5*h + p = 0, -4*m = 2*h - 16 + 4. Let d be (0 - 3)*4\/15. Which is the closest to m?  (a) d  (b) -5  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 423 minutes before 6:51 AM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (-912)\/(-570)*2625\/(-100)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (5\/10)\/1*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 5699 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) be the second derivative of -19*u**3\/6 + 5*u - 2. Let h(q) = 6*q**2. What is h(b(i))?\nAnswer: 2166*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 608*t + 3. Let j be n(-6). Let o = j - -116619\/32. Let f = o + -3\/32. Which is the closest to 1?  (a) 1\/2  (b) f  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 20 + 2. Let r = -23 + n. Is r + 7\/(7\/320) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 0.1, 0.5, 12, 2\/23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 10 = 7. Let u = -15 + l. Suppose 167 = 4*j - 5*v, -v + 173 = u*j + 2*j. List the prime factors of j.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 5  (b) 10  (c) -578  (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1 + 3. Let w = i - 1. Suppose w*n + n - 3*t = 39, -4*t + 14 = 2*n. Calculate the highest common divisor of n and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 146641 - 230519671\/1572. What is the common denominator of 7\/20 and m?\nAnswer: 7860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.2  (b) 3  (c) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2.9 - -0.1. Let z = v - -3. Let j = 16 + -20. Which is the closest to z?  (a) 5  (b) -5\/3  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*j - 3780 - 2*j + 3780.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = 6*w - 664. What is the remainder when 562 is divided by w?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s = -a + 5, 3*a - 42*s = -43*s - 6 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 8145 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1625*s**3 - 874*s**3 - 2*s**2 + 2*s**2 - 740*s**3.\nAnswer: 11*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2 + sqrt(1539))**2 + -4)*-1 + -5.\nAnswer: -1544 - 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m - 4*p = -4, 132*m - 137*m = -3*p + 24. Let j(f) = 2*f**2 - f + 18. Let a(q) = 3*q**2 - 3*q + 34. Let b(u) = 3*a(u) - 5*j(u). What is b(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1 - 2 - (1 - 38). Suppose -3*u + o = -0*u. Suppose u = 4*b - 48. Is b a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) be the first derivative of 0*l**3 + 0*l**4 + 2\/5*l**5 - 5\/2*l**2 + 0*l - 3. Find the second derivative of m(n) wrt n.\nAnswer: 24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 211, 320412, 1.\nAnswer: -1, 1, 211, 320412","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 127.3 * 7662\nAnswer: 975372.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 3*u**2. Suppose 24*b - 21*b = 18. Let n(c) = -7*c. Let y(j) = 42*j. Let l(z) = b*y(z) + 35*n(z). Give l(o(g)).\nAnswer: 21*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 4, -288, 5, 10, -5 in decreasing order.\nAnswer: 10, 5, 4, -1, -5, -288","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 106*r + 68*r + 25*r**3 + 70*r wrt r?\nAnswer: 150*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 3121 + 20033222330?\nAnswer: 20033232111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) be the second derivative of v**3 - 3\/20*v**5 - 9\/8*v**4 - 5*v + 0*v**2 - 1\/120*v**6 + 0. Let n(y) be the second derivative of w(y). Factor n(q).\nAnswer: -3*(q + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 - (0 + 1 + (-2 - -10))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1000001101010011 - -10?\nAnswer: 1000001101010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 38*2\/((-16)\/(-4)). Let m = i - 13. Suppose 0*u = 2*u - m. Solve k = u*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1092  (b) -5  (c) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/10 of a milligram in micrograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:51 PM and 1:25 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 1155 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -40 - -26. Is 3 a factor of 4\/d - 344\/(-28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (115*z - 53*z + 59*z)*(18*z + 112 - 112).\nAnswer: 2178*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -98061 = -23*g - 27980. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 6*a + 30. Suppose -c + 0 + 8 = -2*s, -3*s + 3*c - 9 = 0. Let j be p(s). Let t = -280 - -8682\/31. Which is smaller: j or t?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide ((-96)\/(-20))\/(-4)*-40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 13424756, 13424744, 13424732, 13424720, 13424708, 13424696?\nAnswer: 13424684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1 + 2. Suppose 4*m**2 + 2*m**5 + 1 - 4*m**4 - 2*m - b = 0. What is m?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -90910 divided by 2\nAnswer: -45455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 15\/720*-56*(-2)\/14. Let p(h) be the third derivative of 0*h**3 - v*h**4 + 24*h**2 + 0*h + 0 - 1\/30*h**5. Solve p(u) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -3*a + 2. Let q(w) = 24*w - 27. Let i(c) = 6*d(c) + q(c). Give i(-7).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 17 + -16.7. What is the third biggest value in 0.5, -1\/7, v?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29*n = -23*n - 12. Suppose -4*h + 42 = 2*h. Calculate the highest common divisor of h and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) be the third derivative of 0*q - 1\/70*q**7 + 3\/20*q**4 - 74*q**2 - 3\/50*q**6 + 11\/100*q**5 + 0*q**3 + 0. Determine p, given that u(p) = 0.\nAnswer: -3, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 94 is divided by 34.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5023 is divided by 50.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -8*(1 + (-15)\/10). Calculate the greatest common factor of 10 and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 15682762.8093746 - 2245660.9094536. Let j = m - 13437116. Let l = j + 14.1. Round l to five dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1391*4.\nAnswer: -5564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 177949881 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 15729 + 6792. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -2*p**2 - 37*p - 41. Let g be v(-17). Solve 1 - g = -3*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 13, 0 in decreasing order.\nAnswer: 13, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 6.8 + 7.3. Round p to the nearest integer.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -110*z + 422*z - 95*z - 99*z - 105*z. Let w(c) = -40*c. Calculate 14*s(b) + 4*w(b).\nAnswer: 22*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.06717  (b) 1\/2  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*f + 16*f - 2*w = -16, -w + 6 = 0. Which is the third smallest value?  (a) -63  (b) f  (c) -1\/6  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 48 a factor of 161868?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = 2*k + 2. Let l(v) = -v**2 - 6*v - 6. Give l(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 41 - 34. List the prime factors of m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 2 + 3)*((-4 + 2 + 4)*(l - 3*l + 0*l) + 7*l - 5 + 5)*(l**2 + 5 + 2*l**2 - 2*l**2).\nAnswer: 6*l**3 + 30*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (16\/(-10))\/(28\/(-22400)). Calculate the highest common factor of 5 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1380.348 months in millennia?\nAnswer: 0.115029","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -20, -97, -228, -419, -676, -1005, -1412, -1903?\nAnswer: -2484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.5 + 0. Let z = -0.2 + a. What is the closest to -2 in -2\/3, -2, z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 419769?\nAnswer: 3, 7, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -b**2 - 8*b + 12. Determine l(-10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -695394*s**2 - 667078 wrt s.\nAnswer: -1390788*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = x - 3. Let j(w) = -12*w + 33. Let r(k) = -4*j(k) - 44*v(k). Let i(f) = 47*f + 4. Determine r(i(z)).\nAnswer: 188*z + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1855496 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -86 - -89. Suppose -5*i + 31 = -2*w, 2*w - o*w = -4*i + 23. Sort -8, i, 3 in descending order.\nAnswer: i, 3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -67 - (15 + (-83 - -34))\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-10)\/(700\/21))\/(11\/(-55))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((6*(-1*sqrt(176))\/sqrt(11))\/(sqrt(14)\/(1*sqrt(700))))**2.\nAnswer: 28800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 32\/5 of a century in decades?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21 = 3*w - 3*j, 20156*w - 4*j = 20155*w + 13 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put -8, -2, 5 in increasing order.\nAnswer: -8, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (-90)\/60*(-4)\/18\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 28717 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ca when two letters picked without replacement from {p: 1, c: 1, a: 3, w: 5}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -37 + -29. Let k = x + 71. Solve -3*l + t = -t - 13, k*l + 5*t - 30 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -2785.89324 to the nearest integer.\nAnswer: -2786","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 4706 + -4705.999996679. Round h to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3512043?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -4, -0.3, 6\/23, 1\/3 in decreasing order.\nAnswer: 2, 1\/3, 6\/23, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -64.339  (b) -86  (c) -2.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-1)\/3 + (-38)\/(-6). Let j be (-10)\/2*1 - (-10)\/2. Suppose h + f = -4*v + 16, -v + 3*h + 9 = j. Solve v*n - 26 = -11 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Solve 2*j - 4*y = 6, 21*j - y = -119 + 18 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put 580964, 5, 0 in decreasing order.\nAnswer: 580964, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express 222*z - 17 - 10 + 27 in the form k + t*z and give t.\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-12)\/((-7800)\/(-10)))\/((104\/(-80))\/13)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:49 PM and 6:52 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1278*c**3 - 1 - 865*c**3 + 1031*c**2 + 1 - 675*c**3 wrt c?\nAnswer: -1572","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(153) - (-2*sqrt(153)*4 + sqrt(153)) - (sqrt(153) - (2 + sqrt(153) + -4*sqrt(153)))) + (-4 + sqrt(153)*1 + sqrt(153))*-4*-6)**2.\nAnswer: -29328*sqrt(17) + 422548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -310342322907 + -5\nAnswer: -310342322912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -27347\/6 + 4574. Calculate the common denominator of (-2)\/(-10*2\/94) and i.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 101000 - -11222?\nAnswer: 112222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = 3*n**3 + 69*n**2 - 49*n - 1. Let h(b) = -b**3 - 24*b**2 + 18*b + 1. Let v(f) = 17*h(f) + 6*q(f). Calculate v(-5).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - 6 = -3*j - 4*g, -2*j = -3*g - 24. Calculate the remainder when (0 - 3) + 42\/2 is divided by (-12)\/4 - 39\/j*-2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -27401, 0.4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -5*m + 5*s, -3*m + 8*m + 3*s = 26. Solve -3*r + 19 = -m*n, 2*r + 0*r = 10 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 13*x. Let o(b) be the second derivative of b**3\/3 + 9*b. Determine o(i(p)).\nAnswer: 26*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 102.61251 nanoseconds to minutes.\nAnswer: 0.0000000017102085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10 - (10 - (27 - 19)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**(2\/51)*m*m*m**(-3\/13)\/m*m assuming m is positive.\nAnswer: m**(1199\/663)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-9)\/(-6)*2\/(-9).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9116893 to the power of 1\/3, to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 11678, -26, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 9*l**2 - 282*l - 59394. Give a(-67).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Determine f so that -8*f**3\/3 + 43934*f**2\/3 + 49325288*f\/3 + 12328576\/3 = 0.\nAnswer: -956, -1\/4, 6448","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from klkkwnnanwkwlwwlkn. What is prob of picking 2 k and 1 l?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = 3063*x**2 - 6*x + 9. Let u(s) = -4211635*s**2 + 8248*s - 12372. Give 4124*r(l) + 3*u(l).\nAnswer: -3093*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 523*l - 505*l - 54. Let a(n) be the first derivative of -3\/2*n**2 + 2*n - 9 + 1\/3*n**l. Solve a(g) = 0 for g.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 118 a factor of 250906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*x = 2*x + 560. Does 13 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1414 and 1818.\nAnswer: 12726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -2*q**2. Let o(d) = d**2 + 7*d + 2. Let p = -2 + -5. Let z be o(p). Let h(i) = 5*i**2 + 2*i**2 - 9*i**z. Determine f(h(c)).\nAnswer: -8*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(3)*1 + 2 + -5 + sqrt(6)\/sqrt(2) + -4.\nAnswer: -7 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-4)\/9)\/(4\/6). Suppose -6*l - 2189 = 517. Let f = -2707\/6 - l. Which is the third biggest value?  (a) -5  (b) f  (c) w  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*r - 3 + 21 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) be the second derivative of -k**4\/6 - 11*k**3\/3 - 2*k + 4. Factor v(n).\nAnswer: -2*n*(n + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-three fifths of a gram in milligrams?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*p - 30 = 113*l - 116*l, -2*p - 10*l + 76 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (4144\/147112)\/(((-4)\/6)\/((-2)\/3))\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = l**3 + 17*l**2 - l - 9. What is the smallest common multiple of 32 and n(-17)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2824, -2526, -2084, -1498, -768?\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -50357 in 2\/99, 3\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 17628 and 17628.\nAnswer: 17628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9071.\nAnswer: 47, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 622500 at least 622500?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z + 26 = -3*u, 0*z - 22 = -3*z + 5*u. Suppose -z*h - 37 = -d, -2*d = -3*h - 20 - 44. Let c = d + -29. Solve 0 = -j - c*j - 5 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -412 - -5?\nAnswer: -40a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -145*l**4*z - 2*l**3*z - 2*l - 207*z with respect to l.\nAnswer: -580*l**3*z - 6*l**2*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yddddyydyyyy. What is prob of sequence ddy?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = 20206*l - 6. Let s be z(1). What is s rounded to the nearest one thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 9*h**4 - 4*h**2 + 4*h**2 + (0 + 0 + 2*h**2)*(2*h - 2*h - 2*h**2) + 3*h**4 - 2*h**4 + 0*h**4.\nAnswer: 6*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + 3 - (3 + -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -13693 divided by 12\nAnswer: -13693\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3074 + -3073.958412. Round f to three decimal places.\nAnswer: 0.042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0.69 or -5900?\nAnswer: 0.69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -w**3 - w**2 - 2*w + 1. What is the remainder when 16*(126\/112)\/1 is divided by p(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (1\/4)\/((-11)\/12 - -1). Suppose -10 - 30*w**4 + 16*w + 5*w**5 + 35*w - 80*w**2 + 70*w**g - 6*w = 0. What is w?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8753 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -34834691*g**2 - 17594384 wrt g.\nAnswer: -69669382*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -13*p**4 - 2*p**3 + 74*p - 27150 wrt p.\nAnswer: -52*p**3 - 6*p**2 + 74","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express -9*h**3 - 9*h**3 + 3*h - 1 + 24*h**3 as j*h + o*h**2 + i*h**3 + g and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 736054?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -139, -446, -851, -1354, -1955?\n\"Answer: -49*f**2 - 160*f + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 315*s**2 + 3. Let a(b) = 199199*b. Determine a(g(j)).\nAnswer: 62747685*j**2 + 597597","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 17723 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -6*g**3 - 60*g**2 + 2*g - 6. Let d(i) = -38*i**3 - 359*i**2 + 13*i - 39. What is -6*d(j) + 39*f(j)?\nAnswer: -6*j**3 - 186*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 22530 is divided by 87?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(60)\/(sqrt(24)\/sqrt(2))*2.\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 205764, 205939, 206230, 206637, 207160?\nAnswer: 207799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 177635.3 millilitres in litres?\nAnswer: 177.6353","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*k + 995 + 13 = -19*k for k.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 9, 6, -1466 in decreasing order.\nAnswer: 9, 6, -1466","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1202730210?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Are 5 and 728426 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 21889495?\nAnswer: 5, 4377899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-6)\/(-4))\/(2\/276). Let x = -167 + 190. What is the greatest common factor of v and x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -o + 4*y = 23, 22*o - 26*o = -5*y + 37 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -761 + 761.85. Which is the biggest value?  (a) g  (b) 0  (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 2*p**2 - 37*p + 56. Give s(16).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -47830 (base 9) to base 4\nAnswer: -13310112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/(-1))\/((-21)\/(-105))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -276, -859, -1548, -2343?\n\"Answer: -53*x**2 - 424*x + 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 3, t: 3, x: 2, l: 5}. What is prob of picking 1 l and 1 d?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 177, 306, 457, 636, 849, 1102?\n\"Answer: j**3 + 5*j**2 + 107*j + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -33400000 to the nearest 1000000.\nAnswer: -33000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -8 in -3, -5, 19, -0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*s**4 - 10*s + 7*s**5 - 31*s + 2*s**5 - 5*s wrt s?\nAnswer: 180*s**3 - 24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (147\/105 + (-28)\/(-30))\/(-1).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 1 = h, 4*h - 4 = 2*a - 10. Let y = -1675 + 2029. What is the hundreds digit of (h + 0)\/(-1*3\/y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 41679792 divided by -3473316\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -18 - ((-12 + 8 - (-1 + 1)) + 8 - -4)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 divided by 13863.\nAnswer: 5\/13863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -d78908 (base 14) to base 9\nAnswer: -14632220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -5  (b) 5  (c) 1\/4  (d) -52\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 15709, 62837, 141381, 251341, 392717?\nAnswer: 565509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -23\/5, 15, 12, 2\/5, -0.4 in ascending order.\nAnswer: -23\/5, -0.4, 0, 2\/5, 12, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*h + 5*q - 20 = 3*h, -h + 19 = 4*q. Let j be (-5 - h)\/(8 - 11). Sort 1, j, 0.3 in increasing order.\nAnswer: 0.3, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -78*g**2 + 0*g**3 + 63*g**2 - 14*g**4 + 0*g**3 wrt g.\nAnswer: -336*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 80\/4*6\/16*108*102\/34425.\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*w = 5*w - 1026. Let r = w + 307. Does 10 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3507 + 2367. Let c be ((-69)\/12)\/((-27)\/x). Let f = c - -243. Which is smaller: f or 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 2237097.92 to the nearest one hundred thousand.\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1 - -29)*9\/4. Let j = -88 + h. Is (-485)\/j - (-2)\/(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2433, 2424, 2417, 2412?\nAnswer: 2409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 3\/(-9)*(-2 + -1 - 6). Suppose l*x - 4*j = -2*j + 598, 4*x + j = 812. Suppose -5*c + x = a - 99, 2*a - 242 = -4*c. List the prime factors of c.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 16\/10 - 6\/(-15). Suppose 141 = 3*w + 36. Suppose 0 = 5*z - m*p - 72 - 13, z = 4*p + w. Calculate the remainder when 28 is divided by z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*h**2\/17 - 708986*h\/17 + 1417980\/17.\nAnswer: -2*(h - 2)*(h + 354495)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = g**2 - 3*g + 5. Let s(m) be the third derivative of -m**5\/15 + m**4\/3 - 7*m**3\/3 + 12*m**2 - 2*m. Determine -3*s(k) - 8*y(k).\nAnswer: 4*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*x + 188 + 46. Let m(v) = x - 78 - 3*v. Let g(q) = -4*q**2 + 3*q. Let n(i) = 7*i**2 - 5*i. Let d(l) = -5*g(l) - 3*n(l). Calculate m(d(y)).\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*f - 5*a - 117, 4*f = 3*a - 0*a + 145. Let n = f - 32. What is the smallest common multiple of (24\/n)\/(-6 - 45\/(-6)) and 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {f: 6, b: 1, w: 3, i: 3}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -2*u**2 + u + 4. Let m be z(0). Factor -2\/3*k + 1\/3*k**5 + 0 + 1\/3*k**3 - k**2 + k**m.\nAnswer: k*(k - 1)*(k + 1)**2*(k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 104216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 times -0.056348?\nAnswer: 0.676176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 150046.7cm?\nAnswer: 1500467000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 503*i - 9782 = 2793 for i.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = j + 15. Let z(r) = -2*r + 1. Let p be z(6). What is the units digit of h(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 361365*j**4 - 73741 wrt j?\nAnswer: 1445460*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-8 + 6)\/(4\/(-10)). Solve 0 = -2*x - k*f, 3*x + f - 19 = 3*f for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 6*y - 4. Let u(f) = -901*f**2. Give w(u(k)).\nAnswer: -5406*k**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*c = -0 + 336. Let m = c + 32. Let p = m - -73. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -o**3 - 13*o**2 - 8. Let f be x(-13). Let b be (f\/12)\/(2\/3). Is b\/(-6) - (-2639)\/42 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -39*v - 20*v + 1178820000. What is v rounded to the nearest one million?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 392.00431 minus -28.2?\nAnswer: 420.20431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) be the first derivative of -1153*p**2\/2 - 1102*p - 825. Differentiate k(v) with respect to v.\nAnswer: -1153","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -108*a**3 + 58*a**3 + 59*a**3.\nAnswer: 9*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) be the first derivative of 0*z**5 + 0*z**4 + 1\/3*z**6 + 5\/2*z**2 + 1 + 0*z**3 + 0*z. Find the second derivative of i(l) wrt l.\nAnswer: 40*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -1\/14, -6, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 0 - (25\/(-30) + 1\/(-6)). Let d = 389 + w. Let o be 4 + -1 - d\/100. Is -2 >= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15*v - 2506835886 + 2506835886.\nAnswer: -15*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*t**3 - 141*t**2 - 138*t.\nAnswer: -3*t*(t + 1)*(t + 46)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 5 + -1760?\nAnswer: -1755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 92 - 6. Is 43 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(57)\/(2*(sqrt(3) + sqrt(27))) + 2*sqrt(304)*2)**2.\nAnswer: 316179\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 174100 + -174066. Let k(p) = 2*p**2 - 10*p + 7. Suppose 0*m - 12 = -2*m. What is the remainder when w is divided by k(m)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*d**3 + 0 + 0)*(-d - 9*d + d)*(3 - 1 - 1) as w*d**3 + y*d + v + a*d**4 + x*d**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11649 - 11641 - 11638 - 11642 + 46570 + 10*a**2.\nAnswer: 10*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -f + 5*o = 3*f - 1, 9*o = -2*f + 35 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = l**2 - 5*l + 2. Let u be 0 + -1 + -2*1. Let m = -2 - u. Let w(q) = q**2 + 1. Let p(d) = m*g(d) - 4*w(d). Factor p(n).\nAnswer: -(n + 1)*(3*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(3*(sqrt(66) + (sqrt(66) - (-1*sqrt(66) + sqrt(66) - sqrt(66)))) - (-6*1*sqrt(66) + sqrt(66))))\/((sqrt(726) + sqrt(726)*1*-4)*-3).\nAnswer: 14*sqrt(11)\/99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -3042, -3043, -3044, -3045?\n\"Answer: -s - 3041","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 take away 293443650019?\nAnswer: -293443650012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*s**3 - 261600*s**2 + 4303977492*s - 875553073016.\nAnswer: 4*(s - 32597)**2*(s - 206)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 6839196821 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-6)\/(-21) - 26\/(-7). Let m(y) = -y - 6. Let i be m(-1). Which is the third biggest value?  (a) i  (b) -0.01  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 518668 + 235*o - 518668 to b + j*o and give j.\nAnswer: 235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -3*a. Let z(n) = -65425*n. What is i(z(q))?\nAnswer: 196275*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -3*i**2 - 3*i. Let h be d(0). Let m = -60 - -136. Let x = m + -989\/13. Which is bigger: h or x?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 76892*-41.\nAnswer: -3152572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = 112*b**2 + 3*b + 3. Let f(g) = 2014*g**2 + 53*g + 53. Determine 6*f(h) - 106*s(h).\nAnswer: 212*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.33391um in centimeters?\nAnswer: 0.000233391","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3\/105*15*(-21)\/12.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.5 and 3800.2?\nAnswer: -1900.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 43.13784 + -508.\nAnswer: -464.86216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 37074 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: Suppose -3*j - 24*r = -19*r + 43, 4*j + 28 = -4*r. Let u(a) = -a**2 - 5*a - 3. Let p be u(-3). Sort 0, p, j, 5 in descending order.\nAnswer: 5, j, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 1, d: 3, h: 3, i: 3, o: 5}. Give prob of sequence ihhd.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -67 and 869838582?\nAnswer: 869838649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) 0.4  (b) -0.1  (c) 6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -15*j**2 - 3*j + 3*j. Let t(v) be the first derivative of 2\/3*v**3 + 146 + 0*v**2 + 0*v. Give t(w(y)).\nAnswer: 450*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -310 (base 14) in base 3?\nAnswer: -211022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 34 - 22. Let t(q) = -28*q - 1. Let u be t(-5). Let r = u - 79. What is the greatest common factor of v and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) be the third derivative of 2*l**7\/105 + l**6\/15 - 4*l**5\/15 - 4*l**4\/3 - 251*l**2. Solve p(c) = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*l**2 - 7*l**2 - l**2 + 25*l**2.\nAnswer: 31*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -366 * 413783\nAnswer: -151444578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -7\/10 + -1\/20. Which is the closest to 0?  (a) 1\/4  (b) s  (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -23998*r + 167962. Calculate t(7).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (16\/(-20))\/((-4)\/10). Suppose 9 = w + y, -m*w + 3*y + 0 = 2. Let k be 9\/w*(-1)\/3. Sort 5, 2\/13, k in increasing order.\nAnswer: k, 2\/13, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-f**3 - 6*f**3 + 5*f**3)*(-1032*f + 5 + 10 - 101*f**2 + 1030*f).\nAnswer: 202*f**5 + 4*f**4 - 30*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 27\/21 - (-2 + 3). Which is greater: 2 or n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - 3 = -3*b, 2*z - 3*b = -4*b + 5. Suppose 0 = -z*v + 3*v. Solve 3*j = -4*k + 8, v*k = -5*j - 2*k + 18 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 78 and 104?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -867 - -6?\nAnswer: -861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = 7*f - 5. Let d(g) = -11*g + 8. Let n(l) = -5*d(l) - 8*s(l). Let u(w) be the second derivative of -2*w**3\/3 + 70*w - 1. Calculate n(u(t)).\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.62*0.2.\nAnswer: 0.124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -140*l**2 + 3 - 7 + 59*l**2 - 4*l + 5*l - 2*l**3 to the form p*l**3 + q*l**2 + o + g*l and give q.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 4987917917 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d = -4*n + 11, 4*n = 2*n + 3*d - 5. Which is smaller: 5\/2 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -241\/6 - -40. What is the closest to -0.1 in z, -5, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -7*c**2 + 3*c + 26. Let k(a) = 6*a**2 - 2*a - 25. Let y(h) = -6*k(h) - 5*r(h). Let p be y(-6). Solve 6*b = p*b + 12 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 26901?\nAnswer: 3, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 391 and 4611913.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -236372 rounded to the nearest ten thousand?\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - 4115 = -4*k, 0 = 2*u + k + 168 - 1811. Suppose f = 3*d + 268, 4*f - u - 198 = d. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:21 AM and 6:03 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -28*h**2 - 5*h + 3. Let z be s(-4). Suppose 76*k + 5*k - 71796 = -12*k. Let t = k + z. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -53.7 + 54.083. Let b = r - 76.183. Let q = b + 86. What is q rounded to zero dps?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.2119817 weeks to nanoseconds.\nAnswer: 128206532160000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -339 + 346. Put 4, 5, 2, 1, c in decreasing order.\nAnswer: c, 5, 4, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 92 by -6.\nAnswer: -46\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-5313)\/(-5082) + (1 - -2) and 1\/134.\nAnswer: 1474","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 - -5 - (2 + -3 + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -20750, 11, 83 in descending order.\nAnswer: 83, 11, -20750","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ppps when four letters picked without replacement from psppppppppppssp.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1b + 23?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -10196232 - -76906232. What is d rounded to the nearest 1000000?\nAnswer: 67000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 16\/(-30)*(-3)\/(-4). Let o = 2.8 - 0.6. Let b = 0.2 - o. What is the third biggest value in -4\/7, u, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 272*m**2 - 221*m - 678. What is p(-3)?\nAnswer: 2433","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 49385549 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -2833, -2815, -2795, -2773?\n\"Answer: t**2 + 15*t - 2849","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4056*q + 890 - 890)*(4 - 5 - 3).\nAnswer: -16224*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -67 - -59. Put z, 1, -4, 5 in descending order.\nAnswer: 5, 1, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (27*h - 3392 + 3388 - 4*h)*(-2*h + 3*h**3 + 2*h).\nAnswer: 69*h**4 - 12*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24*b - 30*b - 12 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 3\/40 of a kilogram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -c**3 + 11*c**2 - c + 6. Suppose -f + 5 = -2*w, 5*w = -2*f + f + 5. Let p be t(f). Let r = -34 + p. What is the highest common divisor of r and 78?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 54190*h**5 - 54171*h**5 + 289*h**2 + 25*h**3 + 2*h - 2*h + 2237*h**2 wrt h.\nAnswer: 1140*h**2 + 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1\/401 - 34007\/31278. What is the common denominator of -143\/42 and i?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -5 + 2*c**2 + 2 + c**3 + 3 - 2*c as d*c**2 + x*c**3 + b + q*c and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -33*-0.05\nAnswer: 1.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand 41*g**2 - 6*g**2 - 5*g**2 + 3*g**2 - g**2 - 3*g**2 + (-1 + 1 - g**2)*(0 + 1 + 1) + (-3*g + 1 + 5*g + 1)*(-g - g + 0*g).\nAnswer: 23*g**2 - 4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5\/(-20) + 1\/2.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) be the second derivative of x**7\/21 + 2*x**6\/5 - 7*x**5\/10 - 35*x. Factor q(o).\nAnswer: 2*o**3*(o - 1)*(o + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -31, -68, -119, -190, -287?\nAnswer: -416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -22a (base 11) in base 15?\nAnswer: -134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 17467, 18369, 19871, 21973?\nAnswer: 24675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 310 divided by -31?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 152\/(-28)*(-1)\/2. Suppose -3*j = -3*s - 30 + 18, -8*s + 22 = j. Which is smaller: s or u?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) be the first derivative of m**3\/3 - 3*m**2 + 15*m + 4780. Calculate f(9).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -h**3 - h - 1. Suppose -63*u - 1 = -42 - 22. Let d(b) = -13*b**3 - b**2 - 6*b - 4. Give u*d(z) - 6*a(z).\nAnswer: -7*z**3 - z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 9?  (a) 3  (b) -7  (c) -2  (d) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-177)\/118)\/(1\/6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (396\/22)\/(-108)*(-5)\/(15\/6)*-33?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (433 + 693 + 597 + 1225 - 508)*(-m + 0*m + 2*m).\nAnswer: 2440*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -63010*a + 9*a**3 + 63010*a.\nAnswer: 9*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 1093968a7 + -4?\nAnswer: 1093968a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 38845?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -53*x**3 + 4*x + 557. Let s(d) = -97*d**3 + 7*d + 1115. Let q(v) = 3*s(v) - 5*z(v). Differentiate q(i) with respect to i.\nAnswer: -78*i**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = 11*o - o**2 + 1 - 2*o - 3. Let f be p(6). Is 10 a factor of (1 + 0)*(3 + f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 35625559 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 1293 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 669 minutes after 2:36 PM?\nAnswer: 1:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -58001, -57802, -57617, -57452, -57313?\nAnswer: -57206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 8971 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21 = -s + 4*u, 3*s - 10857*u + 2 = -10858*u for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 82 = 2*l - 0*l - 3*d, -l + d = -43. Let t = 93 - l. Suppose 18 = t*w - 44*w. What is the lowest common multiple of 33 and w?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m\/(m*m*m**2))\/m)**(2\/15)*((m\/m**7)\/m)**(-1) assuming m is positive.\nAnswer: m**(97\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*g - 144*g**2 - 3*g - g.\nAnswer: -144*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 15326931 to the power of 1\/2, to the nearest integer?\nAnswer: 3915","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -3838 at least 3\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -34 - -11. Let a = q + -17. Let t = -40.00034 - a. What is t rounded to 4 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 61013810321 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -a**3 - 11*a**2 - 7*a - 7. What is w(-10)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = 2*h. Suppose -5*k - 5 - 5 = 0. Let q be 1*4 + 0 + k. Let n(o) = -3*o - q*o + 6*o + 2*o. Calculate n(p(m)).\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 20\/(-50) + (-4)\/(-10). Suppose d = 6*p - 8*p + 126. Calculate the greatest common divisor of 18 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 82.8357 grams?\nAnswer: 82835700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ofoof. What is prob of picking 4 f?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + 3 + 0 + sqrt(1584))**2 + 0.\nAnswer: 48*sqrt(11) + 1588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.3, -4, 4, -6, -0.162 in decreasing order.\nAnswer: 4, -0.162, -0.3, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Are 26 and 17719\/657 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put -113162, -5, -10, -1 in increasing order.\nAnswer: -113162, -10, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 66 and 12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 1660770*g**2 - 1680845 wrt g?\nAnswer: 3321540*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 67.02917 + -67.29. Let x = 0.262 + a. Round x to four decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2\/(-8) - 17\/(-4). Suppose -z = z - 5*i - 35, 5*i + 25 = 0. Suppose 6 = x*c - 6, -c - 107 = -z*s. Is 22 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1626 or 1633?\nAnswer: 1633","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 421 = 4*a - 3935. List the prime factors of a.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 28 divide 342906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-90)\/12)\/(21\/(-14)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -6083 + 6087. Sort b, 1\/4, -0.3, -3\/5, 13.1 in increasing order.\nAnswer: -3\/5, -0.3, 1\/4, b, 13.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3\/15*5)\/((-4)\/(-16)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:03 PM and 3:55 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = r**2 - 15*r + 7. List the prime factors of f(17).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6*0.040011.\nAnswer: -0.240066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -5118 plus -10176.658177?\nAnswer: -15294.658177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from {o: 11, t: 8, j: 1}.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (13\/(-143))\/(6\/33)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 36*q - 111*q**2 + 41*q**2 + 7*q**2 + 51*q**2.\nAnswer: -12*q**2 + 36*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -7361896337 minus 1?\nAnswer: -7361896338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = y**2 + 2103 + 2104 - 4207. Let r(f) be the second derivative of 10*f**3\/3 + f. What is b(r(g))?\nAnswer: 400*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1*3\/(-9) + 1*10 + (-7003)\/(-141)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 + (6 - (11 - 2))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 106 + (5 - 9) + -55?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1 + -b1774?\nAnswer: -b1773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2)\/2 - 2*14. Let l(m) = m**2 - 13*m + 5. Let v be l(16). Let d = v + i. Is 12 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 28020 and 2664.\nAnswer: 6220440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:23 PM and 3:34 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -38.69 - -40.683. Let p = r - -0.007. Sort p, -1\/5, 1\/7, 1\/4 in descending order.\nAnswer: p, 1\/4, 1\/7, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1\/((51\/45)\/17) is divided by 8\/2*(-15)\/(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 9112278 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 420730881 to the nearest integer?\nAnswer: 20512","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 144 and 9504?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f + 5*d - 285 = 0, 43 + 19 = f + 2*d. Suppose 3*s - 44 = -s. Calculate the remainder when f is divided by s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3164 + -3126. Calculate the least common multiple of 165 and f.\nAnswer: 6270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -397 - -401. What is the third derivative of -7 + 68*v**2 + 7 + 1499*v**4 - 1663*v**w wrt v?\nAnswer: -3936*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) be the third derivative of -j**6\/24 - j**5\/30 + j**4\/12 + 12*j**2. Let n(h) = h**3 - h**2 + h. Let b be 8\/(-24)*-6*-1. Calculate b*n(d) + v(d).\nAnswer: -7*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 0.390820317 times -0.5\nAnswer: -0.1954101585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-28*p**3 + 2*p**3 + 54*p**3 + (p**2 - p**2 - 2*p**3)*(5 - 2 - 2))*(-19 + 36 - 18 + 52*p) + (p + p - 4*p)*(-4*p**2 + 4*p**2 - 2*p**3).\nAnswer: 1356*p**4 - 26*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -7*n**2 + 15. Calculate o(9).\nAnswer: -552","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 5*t + 4 = -12, 4*g - 4*t = 0. Suppose 2*j - g = 6. What is the greatest common divisor of 2 and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 1 d when two letters picked without replacement from {w: 1, d: 2, g: 2, o: 1, c: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-6)\/(-6*1\/(-4)). Let f(b) be the second derivative of -b**5\/20 - b**4\/3 - b**3\/6 - 106*b. What is f(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**(2\/23)\/v*v*v\/v**(4\/11)*v**(11\/7)*v**(10\/3)*v assuming v is positive.\nAnswer: v**(35215\/5313)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 371 minutes before 8:54 PM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 529, 633, 805, 1045, 1353?\nAnswer: 1729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) be the second derivative of -c**4\/6 - 2*c**3\/3 - c**2 - 23*c. Let d be (2 + (-7)\/2)*-10. Suppose 0 = 5*x + d - 5. What is n(x)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 11134 and 1026.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*t - 20, 4*t = 143*y - 142*y - 3524. Does 10 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = y**3 + 4*y**2 - 19*y - 44. Give a(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -126*w**2*z**3 + 2*w**2*z**2 - w**2 + 8*w*z**3 - 2*w*z**2 + 3*z**3 + 29064*z**2 wrt z?\nAnswer: -756*w**2 + 48*w + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*p**5 + 4*p**5 - 4*p**5 + (241*p - 4*p**5 - 241*p)*(1 + 3 - 2).\nAnswer: -6*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 194  (b) 2\/3  (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -25 + -60 + 65 - (3 + 0).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -u + 1. Let p(o) = 9*o**3 - o**2 + 4*o - 4. Let d = -1 - 3. Let r(q) = d*c(q) - p(q). What is the units digit of r(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-12 - -16) + 3 - ((-27 - -26) + -43)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3503 and 709315464.\nAnswer: 3503","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(392) - (sqrt(392) - 2*sqrt(392)))\/sqrt(8) + sqrt(49))\/(sqrt(7) + sqrt(224)\/sqrt(2)).\nAnswer: 3*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -2 less than -45\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 15 + 4 + (-16 - -7) + (23 - 3)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (28\/30)\/(-7)*(6 - 3).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (((sqrt(425) - 1*sqrt(425)) + sqrt(17) - (1 + sqrt(1700)))*5 - (2 + 1*-2*sqrt(1088))).\nAnswer: -29*sqrt(17) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 3*u**2 + u - 41. Calculate the remainder when y(-9) is divided by 24.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -7030*r**5 + 3*r**2 - 5*r - 6 wrt r?\nAnswer: -421800*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0 + 0. Let z be (-8)\/1*(-7)\/(-70)*-5. Solve 3*y - 5*x = -x, g = -3*y - z*x for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l = 2 - 7. Suppose -q = 2*y + 523, -2*y + l*q - 2*q = 511. What is the tens digit of ((-13)\/(y\/(-712)))\/(4\/(-10))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 30 and 165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -5\/28 - 97\/84. Let b = 91 - 92. What is the closest to 2 in b, 2, x?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6245?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 51 = 3*g - 5*f, -2*g = -2*f - 30. Suppose -2*x - 2*x = -8. Let p be 0\/(x\/2) + 6. Calculate the greatest common divisor of g and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -5*d**4 - 2*d**3 - 24420*d + 748803 wrt d.\nAnswer: -20*d**3 - 6*d**2 - 24420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 + 2 - j**2 - 4 - 27*j**2 + 4 + (-4 + 4 - 2*j)*(-j - 2 + 2) - 1 + 0*j**2 + j**2 - 1 to the form v*j + l + i*j**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 - (-2 - -3) - 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -13\/5?  (a) 2  (b) -0.5  (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 595 minutes after 3:22 AM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/2 or -3188\/45?\nAnswer: -3188\/45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 155\/2*(-8)\/(-10). Let n = 90 - v. Is n a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-6)\/(-4)*(-12)\/(-9). Find the third derivative of 0*c + 0*c - c**2 - 2*c**b - 4*c**4 wrt c.\nAnswer: -96*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 627094080 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 344506*x**3 + 259166 wrt x.\nAnswer: 1033518*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*u - 3*k - 21, 1347*k = 3*u + 1346*k + 1 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 76*z**2 - 48*z**2 - 19*z**2.\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -i**3 - 10*i**2 - 2*i - 14. Let y be t(-10). Let l(d) = 2*d**3 - 13*d**2 + 6*d - 9. Let z be l(y). Is z\/12 - (-59995)\/20 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**1*d*d\/d**(-4)*(d*d**1*d)**(7\/2)*(d\/(d\/(d*(d\/(d**5*d))\/d))*d*d**(-4)*d)\/(d**(-1))**2 assuming d is positive.\nAnswer: d**(25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = z**2 - 22*z + 160. Let m(t) = -25*t + 158. Let g be m(6). Let q be a(g). What is the greatest common divisor of q and 204?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 42 + -19. Is (u\/1)\/(3\/3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -114085 = -3104*b + 109403 for b.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 961563?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -280752 divided by 53.\nAnswer: -280752\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1604 + -1615. Which is the nearest to -9?  (a) g  (b) -1\/7  (c) 0.2  (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 60973 + 37989 = 7*o - 5471. What is the remainder when o is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 207 - 121. Let x be k\/(6 - 3 - 1). Suppose 26 = 2*t - i, -5*t - 3*i + x + 22 = 0. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5\/(15\/4))\/(14*20\/(-420)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is z in -5352992*z**2\/9 + 6544*z\/3 - 2 = 0?\nAnswer: 3\/1636","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) be the first derivative of -23*p**3\/3 - 120. Let t(a) = 10*a. Give f(t(b)).\nAnswer: -2300*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = 2*w. Let g(m) = -166*m + 5 - 2*m**2 + 166*m. What is g(t(h))?\nAnswer: -8*h**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1137*h + 246034 = -8743*h - 56477 - 349569 for h.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*n**2 - 306606*n - 7833936603.\nAnswer: -3*(n + 51101)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 4\/(-38) + (-2457)\/(-57) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = j**2 + 23*j - 9. List the prime factors of n(15).\nAnswer: 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = 13*i - 2. Let u(m) = m**2 - 91*m + 14. What is 30*j(c) + 4*u(c)?\nAnswer: 4*c**2 + 26*c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -2 - -2 - ((-176)\/154 - (-3237)\/1932) and -61\/46.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 352437345?\nAnswer: 3, 5, 13, 409, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 32*b + 30*b - 66*b.\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hrrrrrrrh. What is prob of sequence hr?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence iuu when three letters picked without replacement from uiuuiuu?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 53134*b**4 - 3*b**3 - 256613?\nAnswer: 212536*b**3 - 9*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.071 less than or equal to -5\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let 3185288\/7 + 2\/7*n**2 + 5048\/7*n = 0. What is n?\nAnswer: -1262","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 10*i**3 - 17*i - 1 + 12*i + 7*i. Let h be o(1). Let g = h - 7. Calculate the highest common divisor of 4 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z**2\/7 - 10233*z\/7 + 51140\/7 = 0. What is z?\nAnswer: 5, 10228","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 0.3  (b) -2\/55  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1132 + -1127.776. Let a = o - 4.2. What is a rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1.24 + -1.34. What is the smallest value in -2\/17, -16, v?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -178*r + 176*r - 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -3*s + 85. What is j(19)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -2*l - 9. Let a be n(-7). Suppose a*w - 3*w = -6. Let c(k) = -k**3 + 3*k**2 + 2*k - 2. Calculate the remainder when c(w) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 123*z - 117*z - 738 = 0. Sort 4, 5, z in increasing order.\nAnswer: 4, 5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2 + 8 - (3 - 1)*-2 is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -55.964 + 58.7539. Let t = u + -2.8. What is t rounded to three decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 39*h**2 - h - h**3 - 40*h**2 - h**3 in the form i*h**2 + x*h + w*h**3 + a and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*n - 40 = -12*n + 4*o, 20 = -8*n - 2*o for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -822*s**2*x**2 + s**2*x - 106*x**2 - 20602*x wrt x?\nAnswer: -1644*s**2 - 212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = 77*o**2 - 166*o - 22. Let v be u(-6). What is v rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = -3*n + 2*k, 4*n + 5*k + 24 = 5*n. Let i(f) = -f**2 - 4*f + 8. Let t be i(-6). What is the smallest value in -2\/5, t, n?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*b + 4*y + 8 = 0, 4*b + 3*y - 6*y = 6 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -283*p**2 + 143*p**2 + 136*p**2.\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = 372*o**3 - 11*o**2 - 3*o + 4. Let i(b) = 3*b**2 - 1. What is d(u) + 4*i(u)?\nAnswer: 372*u**3 + u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -l - 3. Let w be t(-8). What is the second biggest value in 3, w, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q - 420 = -4*u, -4*q - 5*u - 133 - 203 = 0. Let m be (30\/24)\/(-3*1\/q). Let w be (8\/16)\/(1\/14). Calculate the greatest common divisor of w and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -1 + 33*k + 1. Let u be i(6). What is the tens digit of u\/(-3)*(-2)\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve r + 9*m - 18033 + 17894 = 0, -6*m + 4*m - 5*m = 3*r - m - 102 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2060 + -2037. Calculate the greatest common divisor of 46 and v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*u**2 + 7*u**2 - 10*u**2.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -682*k - 14 + 681*k + 14. Let s(f) = 37*f - 2. What is s(z(p))?\nAnswer: -37*p - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3 = -24*r + 3*u - 1149, -3*r + 5*u - 134 = -2*r + 2*r for r.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 267213764.\nAnswer: 2, 223, 299567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.266 + -0.366. Let g = -22 - -17. Which is the closest to -2\/3?  (a) n  (b) g  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5a1b03 (base 12) to base 6.\nAnswer: -51103203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 77 minutes after 9:42 AM?\nAnswer: 10:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 139*o - 96 = 142*o. Which is the third biggest value?  (a) -3  (b) 3  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 844881492.\nAnswer: 2, 3, 7, 13, 457, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -m**3 + 2*m**2 + m - 1. Let p(a) = a**3 + 87*a**2 - a + 2. Determine -4*j(b) - 2*p(b).\nAnswer: 2*b**3 - 182*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 4, 1, 38, -458, 7 in ascending order.\nAnswer: -458, -4, 1, 4, 7, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 37c56 - 25?\nAnswer: 37c31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 7535?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -5222, -10448, -15690, -20954, -26246, -31572, -36938?\nAnswer: -42350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of -186 and -0.01.\nAnswer: 1.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + (7 - 2 - -1) - 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 527582*p**2 + 419007*p wrt p.\nAnswer: 1055164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 44353709 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -100*z**2 + 54*z**2 + 50*z**2.\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 136 a factor of 21280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 11\/114098 and -67\/56426.\nAnswer: 36169066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.5, 2, -50, -0.2, -2\/3, -2425 in decreasing order.\nAnswer: 2, 0.5, -0.2, -2\/3, -50, -2425","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 10.84 - 12.84. Which is the biggest value?  (a) 115  (b) k  (c) 6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n*n**18)\/n**(1\/5))\/(n*n**(-1\/25)*n*n**(6\/7)) assuming n is positive.\nAnswer: n**(2797\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -5.639 times 0.01231?\nAnswer: -0.06941609","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - 12 = 2*l, 0 = -5*x - 0*x + 2*l + 16. Suppose x*q - 2 = q. Let f be 4\/q*2\/(-4). Are -1\/14 and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2 - 5. Suppose -3*y + 6*y = 0. Suppose y*q = -3*q + 3. Sort q, d, -1 in descending order.\nAnswer: q, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q + 1507 = -8*f + 12*f, 3*f = -5*q + 1134. List the prime factors of f.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*l - 16 - 26 = 0. Let f be 1\/2 - l\/14. Suppose 4*p + 4*h - 4 = 0, -p + h - 7 = p. Which is greater: p or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 405932604 to the nearest integer?\nAnswer: 740","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3*f**2*g**2 + 159141*f**2 + 155*f*g**2 - 406*f + 3*g**2 - 2*g wrt f?\nAnswer: -6*g**2 + 318282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 4  (b) 1\/4  (c) -1.8  (d) -3  (e) -8  (f) -37  (g) -10\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4, -5, -28, -71, -140, -241, -380, -563?\nAnswer: -796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(1*((sqrt(475) - (0 + (2 + sqrt(475) + sqrt(475) - sqrt(475)))) + 2*sqrt(475)*2 + -4)*5)**2*5.\nAnswer: -60000*sqrt(19) + 1909000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -32*i*w**2 - 2*i - 64*w**5 + 263*w wrt w.\nAnswer: -64*i - 1280*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 710 minutes before 5:46 AM?\nAnswer: 5:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -t - 4. Let x be y(-2). Let j = 3 - x. Solve -j*r + 16 - 1 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 332 times -0.25\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.112 minus 0.4?\nAnswer: -0.288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ejqz when four letters picked without replacement from {d: 3, j: 2, z: 7, e: 1, q: 6}.\nAnswer: 7\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 3167262 a multiple of 126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -312*y. Let n be z(-6). Let w = n - 1241. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -2267, 13 in descending order.\nAnswer: 13, 2, -2267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d - 2*d + 8 = 0, 0 = -3*y + 2*d + 109. Suppose -2*b + 31 = -y. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.001858068 rounded to 4 decimal places?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 15 and 555.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2087 is divided by 110.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -11*f + 136. Which is smaller: 64\/5 or f?\nAnswer: 64\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4989.\nAnswer: 3, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 217 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ewq when three letters picked without replacement from {l: 1, w: 3, o: 2, e: 3, q: 2, y: 1}.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-414720)\/280)\/81 + 4\/14.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 19777921 is divided by 5565.\nAnswer: 5476","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) be the third derivative of d**5\/40 + 12*d**3 - 30*d**2. Let t(z) be the first derivative of j(z). Let y(r) = -16*r. Determine y(t(q)).\nAnswer: -48*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 14\/(-24)*(-1160684574)\/441. Let t = 1536959 - q. Let h = 1669 - t. Find the common denominator of -47\/10 and h.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 2*k**2 + 12*k + 8. Suppose 3*w + 0*g + 43 = 5*g, -2*g + 28 = -3*w. Let p be s(w). Suppose -6*x = -p*x + 1538. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = 2*z + 7. What are the prime factors of n(7)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2 + 7. Let k(f) = 4*f + 9. What is the tens digit of k(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*g**2\/21 - 20*g\/21 + 16\/7.\nAnswer: -2*(g - 2)*(g + 12)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*m = 57*m - 140. Let h be (-3)\/(((-81)\/(-6))\/9)*-2. Put m, h, 0, -12 in descending order.\nAnswer: h, m, 0, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -34.81 + 90.511. Let w = -56 + a. Let q = w + -0.001. Which is greater: -5 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 f, 1 a, and 1 n when four letters picked without replacement from nmnfftad?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*n - 230 + 230)*(-3*n**2 + 2*n**3 + 3*n**2).\nAnswer: 4*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -451374*h - 164181 wrt h?\nAnswer: -451374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -3*o**3 - 13*o**2 + 9*o + 9. Let q(v) = -4*v**3 - 20*v**2 + 10*v + 15. Let i(m) = 2*q(m) - 3*x(m). Calculate i(4).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*r**5 + 880*r**4 + 13040*r**3 + 49520*r**2 - 21360*r - 273600 = 0. Calculate r.\nAnswer: -6, -4, 2, 190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((384\/(-20))\/(-3) + -7)*-80. Calculate the greatest common factor of 540 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -31 + 59 + 371*y**2 - 28.\nAnswer: 371*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 3*b**2*c + 31*b**2 - 2*b*c - 42437*c wrt b.\nAnswer: 6*b*c + 62*b - 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (4\/(2\/(-1)))\/4*4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -62 divided by 21304?\nAnswer: -31\/10652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 3) in base 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 646415493?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -280.4*-195473.\nAnswer: 54810629.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -627 - 25. Let l = 1002 + h. Suppose 0*v + 5*v = l. Calculate the greatest common factor of 14 and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) be the first derivative of 4*v**6 + 19*v**2\/2 + 13. Find the second derivative of m(d) wrt d.\nAnswer: 480*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -3*s**2 + 42*s - 6. What is l(12)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/(-6)*(-4)\/(-2)*-1.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -33*y - 6*y**2 + 5*y**2 + 33*y. Let d(n) = 27*n**2 + 4*n - 4. Let h(a) = 1081*a**2 + 161*a - 161. Let x(s) = -161*d(s) + 4*h(s). Calculate b(x(j)).\nAnswer: -529*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s + 15 = 2*k - 22, 0 = 2*k - 4*s - 34. Differentiate -51 + 36*w**4 - k + 53 wrt w.\nAnswer: 144*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 374599 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 3\/5  (b) 4  (c) -0.05  (d) 0.2  (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -79 + 78. Which is the nearest to k?  (a) -5  (b) 5  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3388385 by 6.\nAnswer: 3388385\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (sqrt(84)\/(sqrt(12)*1) - sqrt(7)) + 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -71*h - 13*h**2 + 101 - 2*h**2 + 2271 - 21*h**2 - 25 wrt h?\nAnswer: -72*h - 71","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 15.5, -1, -19\/8, 1 in ascending order.\nAnswer: -19\/8, -1, 1, 4, 15.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*o - p - 13, -5 = p - 4. Suppose o*f + 3*g = 18, -2*g + 17 = 3*f - 0*g. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -6*1 - 1 - 1. Let w be -2 + 1\/(n\/(-14)). Let o(p) = p**2 - 4*p - 3. Let a be o(5). Is a at least w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.57 less than 10000?\nAnswer: 9992.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3450195987805477 - 3450195987805477 + 5*q**2.\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13049.\nAnswer: 13049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 15 (base 15) in base 5?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 166 minutes after 5:44 AM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 10310561 and 2225.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/11 in 1\/3, -0.221, 0, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 183818*l**4 - 6877*l**2 + 41?\nAnswer: 4411632*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 70 = -23*c + 25*c. What is the greatest common factor of 49 and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -129, -141, -149, -153, -153, -149, -141?\n\"Answer: 2*z**2 - 18*z - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.03*-823005.\nAnswer: -24690.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 197 a factor of 45147869?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 58461 + -32157. What is the highest common divisor of n and 192?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x = 5*b - 30, -2*b + 3*x + 2*x + 24 = 0. Which is bigger: b or 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*a - 7 - 17 = 0. Suppose h - 16 = g - 36, a*g - h = 62. What is the highest common divisor of g and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 2341896*i. Let k(a) = -2*a. Give f(k(b)).\nAnswer: -4683792*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.56059 to two decimal places.\nAnswer: -0.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -190 or -181?\nAnswer: -190","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fftefttfefffetftfef. What is prob of picking 1 e and 1 t?\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-2)\/(6\/(-9)) + -3 - -2. What is the nearest to 1\/4 in w, 5, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -y**3 - 2*y**2 - y + 2. Let t be m(1). Let h be t + 5 + 0\/(-4). Suppose 0 = f + h*d - 11, 3*f - 3*d - 29 = -f. Is 4 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -39*i - 61. Is q(-12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h*h\/h**(-2\/19)*h*h*h)\/h**(-6))**(-39)\/(h\/h**(-2)*h*h**(-5)*(h**3*h)\/h*h*h\/h**(-4)) assuming h is positive.\nAnswer: h**(-8381\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 234 divide 2048253012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 77 + -69. Suppose -w + 23 = 3*r. Solve 3*s - n - n = -r, -s + 5*n = 19 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/17, -24682, -2, -3 in descending order.\nAnswer: -1\/17, -2, -3, -24682","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 667 + -665. Suppose 5*w - 580 = -2*l - 0*l, 5*w = d*l - 600. What are the prime factors of l?\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -18 - 16. Let o = -33.2 - n. Which is the nearest to 0.1?  (a) o  (b) -2\/7  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -3*y + 5. Let r(q) = -2*q + 5. Let s = 4 - 2. Let t(g) = s*r(g) - 3*z(g). What is the units digit of t(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 30334*c**3 + 36*c**2 + 27566641*c wrt c?\nAnswer: 182004*c + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -4*m + 25*m + 10 + 24 + 36 - 18. What is the remainder when 278 is divided by w(-1)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -98 + 96. Which is greater: 1.1 or l?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2313*q + 1864*q + 3047*q to b + i*q and give i.\nAnswer: 2598","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2.4 - -1.9. What is the nearest to 6 in a, 2\/9, -2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 2*w**2 + 2*w + 2. Let d(l) = -l - 1. Let f(p) = p**2 + 9*p + 7. Let j(g) = -6*d(g) - f(g). Let x(z) = 5*c(z) + 6*j(z). What is u in x(u) = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 10, g: 1, s: 9}. Give prob of sequence ag.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -j + 2*j - 24. Suppose 5*h + 4 = j. Suppose -h*o + y + 11 = 2*y, 10 = 4*o + 2*y. Does 3 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 501942?\nAnswer: 2, 3, 7, 17, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 91898218?\nAnswer: 2, 45949109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 247 is divided by 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 8900 and 459240?\nAnswer: 2296200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2 + -2.2. Let m = -2 - -7. Let y = 4.6 - m. Put z, 0.4, y in ascending order.\nAnswer: y, z, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, 5, -2, 4 in descending order.\nAnswer: 5, 4, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12 - ((-13 - -13) + 8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h - 337 = -r, 4*r = r - 2*h + 1026. Suppose -f - 3*f + r = 0. Suppose f = -4*y + 2849. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*b - b - 4*b - 143*b**2 - 937*b**2.\nAnswer: -1080*b**2 - 9*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d*d**11*d**9*(d**(9\/8))**(7\/2))**26 assuming d is positive.\nAnswer: d**(5395\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 111010011 (base 3) in base 14?\nAnswer: 36b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q*q**6*q*q*q**4*q*q)**(-7\/3)\/(q**(2\/13)\/q*(q\/((((q\/(q**6\/q)*q)\/q)\/q)\/q*q))\/q*(q\/q**(2\/5))**45) assuming q is positive.\nAnswer: q**(-2671\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -202, -206, -212, -220, -230, -242, -256?\nAnswer: -272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -7322938 times -4.6\nAnswer: 33685514.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(sqrt(500) + 1).\nAnswer: 4 + 40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*z - 2*z - 20*z = 0. Let x(h) be the third derivative of 0 + z*h + 11*h**2 + 1\/60*h**5 + 1\/24*h**4 + 0*h**3. What is x(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 8 + -13. What is the closest to 1\/3 in -4, s, 4, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6824 > 6824?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -v - 2*v + 283*v**3 + 448*v**3 + 3*v - 729*v**3.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -36*47\/(-21150)*25\/4.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2167.055 millennia to months.\nAnswer: 26004660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -347*w**5 - 245*w**2 wrt w.\nAnswer: -20820*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 690678 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 2, 32, 3, -1802 in ascending order.\nAnswer: -1802, 0, 2, 3, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*o**2*y + 23*o**2 - 5*o - 2*y wrt o.\nAnswer: 4*y + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 116295, 116266, 116211, 116124, 115999, 115830, 115611?\n\"Answer: -k**3 - 7*k**2 - k + 116304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -13651403 (base 7) in base 11?\nAnswer: -801118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 457027 to the power of 1\/4, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1131 + 530 = 3*h + 2*i, 2*h = 4*i + 1102. Solve -554*x = -h*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 83.994 + 0.006. Let r = 88 - p. Let l = 13\/2 - 35\/6. What is the nearest to 0.1 in r, l, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 14*j + 33*j + 0.\nAnswer: 47*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 18773 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 459 minutes before 4:26 AM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -44 * -7977\nAnswer: 350988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qqqqqqqqqqgggqq. What is prob of picking 2 q?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 498 a factor of 19757201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -13387*w. Let h(x) = 76*x**2. Give c(h(f)).\nAnswer: -1017412*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 717224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 - (-9 - (-9 + (10 - 2))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 931882021, 931882022, 931882023, 931882024, 931882025, 931882026?\nAnswer: 931882027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2cfa01 - -4?\nAnswer: -2cf9fd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ndq when three letters picked without replacement from {n: 6, w: 2, d: 2, q: 8}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 17 - 9. Let t = h + -11. Let q be 2\/4*(-1 + t). Do q and -2 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 27197925 to the power of 1\/2, to the nearest integer?\nAnswer: 5215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 17 = -5. Let m = q - 9. Let l(s) = 35*s - 1. Is l(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2724503?\nAnswer: 2724503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) be the first derivative of -5*v**3\/3 - 15*v**2\/2 + 10. Find o, given that b(o) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = o**5 - 3*o**4 - 13*o**2 + 10*o + 5. Let q(y) = y**4 + 6*y**2 - 6*y - 3. Let j(c) = -3*d(c) - 5*q(c). What is the third derivative of j(u) wrt u?\nAnswer: -180*u**2 + 96*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9 = -3*h, 21 = 14*r - 17*r - 2*h for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 8850.6603 to the nearest 100.\nAnswer: 8900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 308892.\nAnswer: 2, 3, 25741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 m and 2 w when four letters picked without replacement from wwwmwwwwmwww?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -4*q**3 + q**2 + 4*q - 2. Let i(n) = 9*n**3 - 2*n**2 - 9*n + 5. Let h(b) = b**3 + 9*b**2 - b - 7. Let l be h(-9). Give l*i(s) + 5*o(s).\nAnswer: -2*s**3 + s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -331*k - 500 + 661*k - 329*k - 140 to o*k + l and give l.\nAnswer: -640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -5987 or -1635?\nAnswer: -5987","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 16 or 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -117 - -118. Let s be 18\/24 - (-13)\/(-28). Which is the biggest value?  (a) s  (b) y  (c) -5  (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*h + 20 = -a, -5 = 6*a - 5*a for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 77 a factor of 31654166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -13 in 33, -1, 0.6, 2\/213, 1\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -668.9 + 710. Let i = z - 43.1. Which is the nearest to i?  (a) 1.8  (b) -1  (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -62880300 to the nearest one million.\nAnswer: -63000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 13 and 1703.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence acd when three letters picked without replacement from zancd?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -94.698077 rounded to the nearest integer?\nAnswer: -95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.899 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = 88*y**2 - 56*y + 8. Let x(j) = -30*j**2 + 21*j - 3. Let m(o) = 3*g(o) + 8*x(o). Let v(s) be the first derivative of 5*s**2\/2 + 4. What is v(m(f))?\nAnswer: 120*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 269710000 rounded to the nearest 1000000?\nAnswer: 270000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 587, -351\/2, 0.4 in descending order.\nAnswer: 587, 0.4, -351\/2","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: What is 2137 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*b - 0*b + 8. Suppose 0*x = 4*k + b*x + 20756, 3*k + 15567 = -5*x. Let u = k + 41585\/8. Calculate the common denominator of 71\/12 and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + j + 1 = 20, 2*j = -5*i - 130. Let k = i + 18. Suppose c - 6 = -2*r + 4*r, 23 = -3*r - 2*c. Is k > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 85 - 56. Suppose 4*k - 3*z + 3 = 0, 0 = -3*k - 5*z + 5 + q. Solve -4 = -4*h + 16, 10 = -k*t - h for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 98*y + 9. Let r(g) = -g + 20. Let m be r(11). Suppose -3*a = -6 - m. Is t(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.3?  (a) -1  (b) -2\/6863  (c) 4  (d) 0.4  (e) 4\/31  (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -71 = -10*t + 19. Let a be (t + -4 - 0) + (0 - -2). Let l = -31 + a. Is l less than -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -219349013 less than or equal to -219349012?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*k**4 + 56*k**3 + 135*k**2 + 114*k + 32.\nAnswer: (k + 1)**2*(k + 16)*(3*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 16 - 146\/9. Let n = 0.1 - -0.5. Let i = n + -0.3. What is the third smallest value in 0.4, g, i?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + 7*q = -112. Let i = -26 - q. Suppose -3*c + 500 = i*c. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange p**3 + 5*p**3 + 2 - 4*p**3 - 2*p - 2*p**2 - 4*p**3 + 3*p**4 to the form k + n*p + x*p**3 + i*p**4 + t*p**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -1\/2, 4\/3, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - 16 = -x. Let v = -89 + 93. Suppose -v*f = -10*f + 90. What is the remainder when f is divided by x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -3\/208 + 461\/3120. Let n = 3\/241 + 699\/1928. What is the third biggest value in -3, b, n, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29*k - 23*k + 30 = 0, 0 = 2*b - 4*k - 10 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 8339661 + -5?\nAnswer: 8339658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w = -3*n + 39, 3*n = 2*w + 4*n - 21. Factor 6*o**2 + 13 + 4*o**3 + o**4 + 4*o - w + 0*o**3.\nAnswer: (o + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 15 - 16. Sort 7, -2, s in decreasing order.\nAnswer: 7, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 67596 - 31819. What are the prime factors of g?\nAnswer: 7, 19, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = i + 5. Let g be v(-5). Let y(x) = 6*x - 3. Let t be y(3). Suppose g = z - t - 2. Is z a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-7 + 33 - (-53 - -68)) + -25?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (5\/10)\/(2\/204). Let u(i) = -i**3 - 5*i**2 + 6*i + 5. Let k be u(-6). Suppose -n = -k*r + 19. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*x + 130 + 218. Suppose 2*w + 91 = 277. Let o = x + w. What is the highest common divisor of o and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of (0 + 33\/(-2))\/(393\/(-524)) and 5980.\nAnswer: 65780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u = 4*u + 8. Let v(y) = -y**2 + y - 1. Let f be 2 - (4 - 4 - (-1 + -2)). Let l(d) = -d**2 - 2*d + 4. Calculate f*l(s) + u*v(s).\nAnswer: 3*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -6*i**3*s**3 + 2*i**3*s + 5*i**3 - 4*i**2*s**2 - 27*i*s**2 + 12*i*s - 2*s wrt s?\nAnswer: -36*i**3*s - 8*i**2 - 54*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 148 minutes before 10:40 AM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 15\/25 + (-34)\/(-10). Suppose 4*u = -3*g + 12, 0 = -j*g + g. Factor -156*w + 24 - 134*w**3 + 26*w**u + 246*w**2 - 33*w**3 + 27*w**4.\nAnswer: 3*(w - 2)**2*(w - 1)*(9*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -1124*a + 1316*a - 960 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 5 and -196.537.\nAnswer: -982.685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 33103 (base 4) in base 3?\nAnswer: 1100021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - 171 = -75. Suppose q - 13*q = -u. Solve 3*i - 3*j = -15, q*i + 4*j - 2 = -6 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 318, 3920, 13990, 33762, 66470, 115348, 183630?\n\"Answer: 539*n**3 - 171*n - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1995 at most as big as 1880?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) be the first derivative of -2\/5*o**5 + 0*o**2 + 0*o**3 - 26*o - 21 + 0*o**4. What is the first derivative of b(s) wrt s?\nAnswer: -8*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 238?  (a) -1  (b) -4  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) be the first derivative of 7*c**2 - c - 1. Is n(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -5*g**2 + 24*g + 3. Determine n(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 4 = 26. Let b be 4 + 33*2\/p. Solve -4*j - b = -j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -90, -320, -682, -1164, -1754, -2440?\nAnswer: -3210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put together 402 and 92.\nAnswer: 494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 5003 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 462 and 312.\nAnswer: 24024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) be the third derivative of a**5\/30 + a**4\/12 - a**3\/6 - 4*a**2. Suppose 2*j - 4*j = -2. Calculate the smallest common multiple of p(-2) and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u = -3*q + 5, -3*q + 5*u - 16 = -5*q. Let x = q + -1. What is the first derivative of -g**x + 2*g**2 - 3 + g**2 wrt g?\nAnswer: 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1764.8001 to 1 decimal place.\nAnswer: 1764.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**8*w)\/(((w\/(w\/(((w\/((w\/(w\/((w**(-3)\/w)\/w)))\/w))\/w)\/w)))\/w)\/w*w)*((w**(3\/7)\/w)\/w*w*w)\/(w\/(w**(-4\/5)*w)) assuming w is positive.\nAnswer: w**(162\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 12199, 12186, 12157, 12106, 12027, 11914, 11761?\n\"Answer: -k**3 - 2*k**2 + 12202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1587 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -532*f**2 - 7*f + 6. Let c(s) = 531*s**2 + 8*s - 6. Let y(n) = -3*c(n) - 4*w(n). Is y(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = y**2 - 5*y. What are the prime factors of r(-5)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) be the first derivative of -5*c**2\/2 - 1. Let n be (-2 - (-6)\/(-3))*-1. Let y(w) = -w**2 - w**2 + n*w**2. Give h(y(r)).\nAnswer: -10*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**17*d**(-10)*(d\/((d\/d**(7\/4))\/d)*d)\/d*d**(-12))**(-1\/2) assuming d is positive.\nAnswer: d**(9\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 2*r**3 + r**2 - 3*r + 1. Let s be d(2). Let q be 1\/5 - (-72)\/s. Find the second derivative of 2*f - 4*f**q + 0*f**5 + 2*f**5 wrt f.\nAnswer: -40*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 164046 and 4674.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*w + 624 = -4*w. Let g be (-1 + w\/9)*3. Let a = -47 + g. Calculate the highest common factor of a and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 16 * -2.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in seventeen quarters of a century?\nAnswer: 5100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = -4*h + 23. Let d = 486 - 478. Calculate the smallest common multiple of d and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2000 + -1010000100?\nAnswer: -1010002100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 582 + 2*v**3 + 4*v**2 - 573 - 4*v + 3*v to the form m*v**2 + s*v + b + p*v**3 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 130\/10 + (-4)\/(-1) + 1. Is 1036214\/387*s\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -300, -601, -902, -1203, -1504?\n\"Answer: -301*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 82 + 2*n - 20 - n + 2*n.\nAnswer: 3*n + 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 60780.31ml in litres?\nAnswer: 60.78031","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -848 + 865. Calculate the remainder when 1223 is divided by y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m*m**(1\/5))\/m**(-1\/10))\/((m\/m**7)\/((m\/(m**(-2\/45)*m*m))\/m)) assuming m is positive.\nAnswer: m**(481\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i = -5*o + 13, i - 7*o = -5*o - 13. Let j be 2 - i - ((-34796)\/2 + 3). What is j rounded to the nearest 1000?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 18, 39, 60?\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (3*(-4 + (sqrt(128) - (sqrt(128) + 5))) - (sqrt(128) - (sqrt(128) + sqrt(128) + sqrt(128) + -1 + sqrt(128)))*6*3)**2.\nAnswer: -38880*sqrt(2) + 375278","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z - 140 = -16*z. Let x be 2*(1\/4 - z\/(-8)). Calculate the greatest common factor of x and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/y**4*y)**50*(y**(2\/3)\/y)**13 assuming y is positive.\nAnswer: y**(-313\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-4)\/(-2))\/2*2. Let h be 1\/(-5) - 94\/480. Let u = h - -33\/16. Which is bigger: u or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.3?  (a) -9\/2  (b) 0  (c) -15  (d) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -7194762, -14389590, -21584418, -28779246, -35974074, -43168902?\n\"Answer: -7194828*z + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 2, g: 2, y: 1, m: 1}. Give prob of picking 1 y and 2 g.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 5278*p + 1117 + 2519 + 2651 + 2184*p wrt p.\nAnswer: 7462","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -21*w. Let j(l) = 9*l - 4*l + l - 7*l. Let s be (-1 + 4\/8)\/((-8)\/(-480)). Determine s*j(z) + 2*f(z).\nAnswer: -12*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 59, 21, 134, -2 in increasing order.\nAnswer: -2, 21, 59, 134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1\/((3\/(-5))\/3). Suppose -5*k = -5 - 5. Sort k, t, -0.3.\nAnswer: t, -0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3316843 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) be the second derivative of -11*i**4\/12 + 3*i + 14. Let s be (-2)\/7 + (-32)\/(-14). Let q(x) = -2*x**2 - x**2 + s*x**2 - x**2. Determine q(h(d)).\nAnswer: -242*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide -13840 by -354.\nAnswer: 6920\/177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -9*s**2 - s + 1. Let v = 10 - 9. Calculate n(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -250 + 256. Solve j*l - 19 = 11 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -q**3 - 10*q**2 - 23*q + 9. Let c be i(-6). Let w(l) = 2*l**2 - 7*l + 3. Determine w(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 64*m**5 - 2475*m**4 - 10*m**3 - 109777*m + 782 wrt m?\nAnswer: 1280*m**3 - 29700*m**2 - 60*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -36192 rounded to the nearest one hundred?\nAnswer: -36200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.745492 litres in millilitres?\nAnswer: 745.492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -250*t**2 - 2 - 1 - 4*t + 283*t**2 in the form v*t + d*t**2 + u and give d.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -25 + -27 + 45 + -24 - (-8 + -1)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(300)*4 + 3 - 5*(sqrt(300)*-2)**2)*4.\nAnswer: -23988 + 160*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*f + 4*g, -2*f + f - 2 = -4*g. Suppose -4*w + 2*m = 8, -3*w - f*m = -6*m + 6. Let n(y) = y + 2. Calculate n(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 4562 + -4562. What is the third biggest value in 10\/3, t, -1\/14?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a + 3*s = 12, s = -2*s + 12. Let g be (-2 - (-6)\/4)*a. Let x = -100 - -102. Is x at most g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6277500570 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 5, d: 5, q: 5, b: 3, y: 2}. Give prob of picking 1 b, 1 y, and 1 w.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 29 and 116.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 555, 1102, 1649, 2196?\nAnswer: 2743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-7500760)\/(-7627))\/(-460) + 0 + (0 - -2)?\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 50 (base 7) in base 3?\nAnswer: 1022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sum -65.8491 and 3446.\nAnswer: 3380.1509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1120181 or 36.4?\nAnswer: 36.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 567, 558, 551, 546, 543?\n\"Answer: p**2 - 12*p + 578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*p - 2*p + 4*p + 2*p + 2*p - 2*p + (6*p - 4*p - 3*p)*(1 - 3 + 1) + p - 1 + 1)*((4*p - p - p)*(-4 + 2 + 0) - 2*p + 0*p + 4*p).\nAnswer: -20*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1.41 + -1. Let t = x - -2.99. Let n = t - -0.6. Which is the second biggest value?  (a) n  (b) 0.5  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 19 - 16. Suppose -2*g - 5*c + 4 = -0*c, 5*g + 3*c = -9. Let y = -3 - g. Solve 3*b + 3*v + 18 = y, -d*b + 17 = -2*v - 2*v for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*i + 2*r + 8, 2*r + 16 = 3*i + 7 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1146 - -1621. Suppose -5*s = 3*h - 584, 3*s + s + 5*h = z. Suppose 6*w = w + s. Is 23 smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -12.02 rounded to zero dps?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 982422.6 nanoseconds in seconds?\nAnswer: 0.0009824226","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -h**3 - 2*h**2 + h - 2. Let w be y(-3). Let i = w - -2. Let u be 59\/(-3) - 2\/i. Round u to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2 - 21\/(-6))*6. Let p = 5 + h. Suppose -161 = -9*b + 1. What is the least common multiple of p and b?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -14*k + 1. Let j(f) = -13*f + 1. Let t(p) = -5*j(p) + 6*o(p). Calculate t(1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -23*o + 243. What are the prime factors of n(-21)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 28353340 and 1720?\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) 2  (b) -3  (c) 3  (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -113*o - 4 - 78*o - 14*o to the form y + l*o and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 8507154839 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 5 - -17?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5842 = 49*q + 1753. Which is smaller: q or -307\/2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 0 + 3\/9*141?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/9 in -0.3, 10\/60897, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -211 by 4.\nAnswer: -211\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = b**3 - 4*b**2 + 3*b + 6. Let a be m(3). Let w(f) = 18*f + a*f - 10*f. Let i(k) = -2*k. Calculate i(w(p)).\nAnswer: -28*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00270527 rounded to four dps?\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 1 t when two letters picked without replacement from {s: 5, h: 1, t: 3, u: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) be the second derivative of -1\/12*o**4 - o + 0*o**3 + 0 + 11*o**2. Calculate the least common multiple of x(0) and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r = -r. Suppose 0 = 6*t - 5 - 25. Suppose -k + 22 = t*s, 3*s + 0*k - k = 10. Put 2, s, r in ascending order.\nAnswer: r, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 28 minus 0.027?\nAnswer: 27.973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = 19*w - 8*w - 12*w. Suppose 0 = -2*b - b + 15. Let z(a) = 0*a + 4*a - 5*a + b*a. Calculate z(h(t)).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16207 = 280*k + 390*k - 334*k + 41071 for k.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ewwwoweggeeee. What is prob of picking 1 g, 1 o, and 1 w?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7\/4, 1740, 21 in decreasing order.\nAnswer: 1740, 21, -7\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 1.4 at least 96?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27*o + 687 = -2067. What is the remainder when o is divided by 25?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -61*s**2 + s - 1. Determine h(1).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -720, -3103, -5488, -7875, -10264?\n\"Answer: -i**2 - 2380*i + 1661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1 - 1. Let o be -2*5\/y - 2. Let r be 15\/o + (-3)\/3. Solve g = -r*l - 14, 5*g = -l - 9 - 4 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1.81 + 2. What is g rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16671 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -7 + 3. Let d be 3\/(-12) - (-19)\/f. Let q be ((-6)\/6)\/(-9 + 4 + 3). Which is the nearest to 0.3?  (a) 5  (b) d  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 - 1 - 2)*(486 - 292 - 294)*(3*u - 4*u - u) in the form b + z*u and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) be the second derivative of -487*u**8\/6720 + u**7\/2520 - u**6\/720 - u**5\/60 + 5*u**4\/6 - 4*u. Let v(x) be the third derivative of s(x). Is v(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -130*u + 6 = -129*u for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -79876 divided by -350.\nAnswer: 39938\/175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-26)\/(-13)*(-1)\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 372209 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 209538 and 504.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -24*t**3 - 7*t**2 - 10*t + 16. Let z be x(8). Round z to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 75439798 * 0.1\nAnswer: 7543979.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-3108)\/1674 + 3\/3. Let t = g + 30\/31. Let r be 3\/2 + 1 + -3. Which is the second smallest value?  (a) t  (b) 1  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 403\/19 or 20?\nAnswer: 403\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-1)\/8 + (-972)\/(-96). Suppose -g*u = -15*u + 15. Suppose 0 = 2*s - 4*l, 0 = 5*s + u*l - l. Solve 0 = -s*w + w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.11?  (a) -1\/6  (b) -3  (c) 5  (d) 10  (e) -157\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -275192, -550359, -825526, -1100693, -1375860, -1651027?\n\"Answer: -275167*z - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -3*p + 1. Let a(c) = -c - c - 2*c + 3*c. Determine 2*a(l) - q(l).\nAnswer: l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2604 and 7018152?\nAnswer: 49127064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1377 + -5?\nAnswer: 1372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 2856940 to the nearest 100000.\nAnswer: 2900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*t - 22*t + 90 = 0. Suppose -t*j = 201 - 291. Solve -j*z + 12*z - 3 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 2200 divide 128759400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*w - 7 - 6 - 2*w.\nAnswer: w - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/50 of a millennium in years?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) be the third derivative of -395*w**8\/168 - 379*w**5\/5 + 6148*w**2 - w. Find the third derivative of s(a) wrt a.\nAnswer: -47400*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - 4*f = 6, -3*f - 129 = -4*m. Let w be (1 + (-32)\/m)*3. Suppose -12 = 2*v - 4*k, v - 4*k - k = -9. What is the third smallest value in w, v, -0.5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 84768 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -26738 - -508024\/19. Suppose 64\/19 - 64\/19*r - 12\/19*r**2 + s*r**4 + 10\/19*r**3 = 0. What is r?\nAnswer: -4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 7\/3 + -5\/3. Let d(o) = o**2 - 17*o - 18. Let n be d(18). Sort n, q, -0.1.\nAnswer: -0.1, n, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 443 divide 9341098?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.096*-203400.\nAnswer: -19526.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**(-3)*h**(-1\/3)*(h\/(h*h*(h*h*h**6*h)\/h))\/(h\/h**1)*h*h**(-1\/4)*h*h*h*h**3*h**(-1)*h\/h**(-4) assuming h is positive.\nAnswer: h**(-19\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 490887134442 - 156102248260865\/318. Let d = 438705 + u. Find the common denominator of d and -49\/16.\nAnswer: 2544","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2069252 and 1805?\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f - 49 = 3*f - 3*v, 2*v + 2 = 0. Let j be (-13)\/f + 3\/(-2). Is j greater than or equal to 1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2*60244\/24 - (-2)\/3. Suppose 0 = 17*x + 516 - q. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -29609786?\nAnswer: -29609786","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9 - (1 - -5 - (-19 + -8)) - -6.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 554503 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 3495828 to the power of 1\/2, to the nearest integer?\nAnswer: 1870","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3 - -6)\/(-3) + -16*319\/(-2320).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/9 in 2\/9, 1\/2, 1432?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-g - 2 + 2)*(3*g - 1 + 1) + 1 + 2*g**2 - 1 + (1 - g - 1)*(4*g - 6*g - 2*g) + 5627*g - 5627*g + 276*g**2.\nAnswer: 279*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15 = -3*t + 4*v, 4*t = -0*v + v + 20 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 12697, 25346, 37995, 50644, 63293, 75942?\nAnswer: 88591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 8, -23, -80, -169, -296, -467?\nAnswer: -688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 431 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 59 - 2f?\nAnswer: 2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 1262695649 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g = -0*g - 1, 4*c + 5*g = -7. Let m be 612\/144*(-1)\/((-2)\/(-8)). List the prime factors of m\/(((-2)\/c)\/((-2)\/3)).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v - 4 = -24. Let p(s) = 2*s - 2. Let d(g) = g. Let n(w) = v*d(w) + p(w). Differentiate n(t) with respect to t.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -f**3 - 2*f**2 - 9*f - 30. Let w = -13 - -23. Calculate the least common multiple of w and y(-3).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 862039?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express 54*w - 385*w + 1285*w - 2 in the form i + m*w and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.2, -6, -5, 4 in decreasing order.\nAnswer: 4, 0.2, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 30 and 115935?\nAnswer: 231870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -141659 times 0.2?\nAnswer: -28331.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-6)\/175)\/(93\/(-434))*5\/(-2). What is the nearest to 2 in o, 0.01, 0.3, -12?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -24016, -23957, -23896, -23833, -23768?\n\"Answer: j**2 + 56*j - 24073","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**(-1\/8)*u)\/((u\/(u*u**(-3\/4)*u*u))\/u))**(-28)\/((u*((u\/(u**(-4\/7)*u))\/u)\/u*u*u**4)\/(u**(-5)*u*u**(2\/5)*u)) assuming u is positive.\nAnswer: u**(-6627\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -17939, -72967, -164673, -293051, -458095, -659799, -898157?\nAnswer: -1173163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2754797 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -21*k + 1. Let i(s) = -4*s. Suppose 27 - 5 = -2*p. Let n(z) = p*i(z) + 2*h(z). Suppose 4 = -b, 0*y - 3*y - 4*b = 1. Calculate n(y).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -12 + -1155495?\nAnswer: -11554a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert -101000010110 (base 2) to base 4.\nAnswer: -220112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Add together -13.86 and -25129.\nAnswer: -25142.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4*r**4 - 288*r**3 + 4*r**2 - 63.\nAnswer: 96*r - 1728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3036*m**3 - 7*m**2 + 7*m**2 + 2540*m**3.\nAnswer: 5576*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*b + 31 = -53 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4874?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 56110 to the power of 1\/2, to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*n - n + 5*n)*(-15*n**3 + 4*n**3 - 4 + 8*n**3).\nAnswer: -6*n**4 - 8*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 4426 - 4425. What is the nearest to 19 in 0, 0.39, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25141989149 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*u**3 + 8*u**3 + 39*u**4 - 2*u - u + 31*u**2 - 40*u**4 - 3*u**3 in the form m + f*u**4 + g*u**2 + w*u + p*u**3 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x\/x**(1\/7))\/x)\/x**30)\/(x**(-12))**(-1\/4) assuming x is positive.\nAnswer: x**(-232\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44 = -4*l - 4*a, -2*l + 2*a + 23 = 5*a. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -14*f**3*v - 4306*f**3 + f**2*v + 3*f*v - 2*v - 878 wrt f.\nAnswer: -84*v - 25836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -5312160 rounded to the nearest 10000?\nAnswer: -5310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*sqrt(175)*5 - ((sqrt(28)*2*-3)\/sqrt(4))**2 - (0 + ((sqrt(343)*1 + sqrt(343) + -5 - sqrt(343)) + sqrt(343)*-1*3)**2).\nAnswer: -1649 - 190*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c + 5*i = 5, c - 65*i + 64*i + 4 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = 33*g**2 + 12*g - 12. Let i(z) = 3*z**2 + z + 1. Let c(y) = -7*y**2 - 2*y - 3. Let t(k) = 2*c(k) + 5*i(k). What is -h(d) + 12*t(d)?\nAnswer: -21*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -9*y**3 - 3*y**2 - 3*y + 5. Give k(-4).\nAnswer: 545","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -1 times -8392531.2\nAnswer: 8392531.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*m + 3*m + m**3 + (m + m**2 - m)*(10*m - 352 + 352) - 2 + 2 + 2*m**3.\nAnswer: 13*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 407181211 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 26052127?\nAnswer: 163, 277, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 149 minutes before 10:55 PM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -18467, -48848, -79229, -109610, -139991?\n\"Answer: -30381*c + 11914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 332 and 26394.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -19471, -16844, -14217, -11590?\nAnswer: -8963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -2*r. Let w(j) = 35*j + 103. Let a be w(4). Let q(d) = -a + 51*d + 119 + 7*d + 124. Give q(t(u)).\nAnswer: -116*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.9587 + -16177494.\nAnswer: -16177493.0413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 138 is divided by 70.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -12 + (59 + -67 - (-4 - (0 - -79))).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -4*c**2 + 26*c + 10. Let f(m) = 3*m**2 - 25*m - 9. Let g(u) = -3*f(u) - 2*r(u). Let q be g(23). Solve t = 2 - q for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2\/787  (b) 3123  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j*j**(2\/5))**(1\/22)\/(j*j*j**3*j*j*j*(j\/((j*j\/(j\/((j*(j\/(j*j*j\/j**(-5)))\/j)\/j)*j*j)*j)\/j)*j)\/j*j))**(-3\/4) assuming j is positive.\nAnswer: j**(6249\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 507*a + 2950 = 221*a + 168*a for a.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1\/(86 - 20))\/2*-9.\nAnswer: -3\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -1939, -1930, -1909, -1870, -1807, -1714, -1585?\n\"Answer: a**3 + 2*a - 1942","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = r - 20. Give q(20).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y + 5*o = -46, 1166*y - 1170*y + 2 = -3*o - 36 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3 - 6. Suppose -8*g - 48 = -5*g. Let a = f - g. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -5*h - 4. Suppose -5*u + q - 13 = 11, 3*q = -3*u. What is v(u)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.52819114 rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y = j + 4, -j + 3*j + 5*y = 19 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.0427 rounded to 1 dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 19*d + 2*d**4 + 2*d**2 + 15 + 70*d**3 - 86 + 72 to q*d**2 + w*d + o*d**4 + s + r*d**3 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = g + 1. Let i be j(1). Suppose 0 - 12 = -i*c. Suppose 30 = 3*s - 4*d, 4*s + d = -1 + 22. What is the greatest common factor of c and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**(-4)*n*n\/(n\/((n\/(n**0\/n))\/n))*(n**(1\/4))**(-46) assuming n is positive.\nAnswer: n**(-27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -2276 divided by 240\nAnswer: -569\/60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*c - 4*j - 31, -5*c + c - 4*j = 36. Let x(v) = -7*v - 1. Let w(z) = -4*z - 1. Let m(b) = c*w(b) + 3*x(b). Differentiate m(o) wrt o.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12403682 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 0 = 6, 3*n + 650 = f. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -13*r - 3. Is i(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1380*l = 1387*l - 112. Let y = 58 - 13. What is the remainder when y is divided by l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let n = -627 - 128. Let c = n - -754.7. Sort c, 0, 9 in ascending order.\nAnswer: c, 0, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5*-0.1113\nAnswer: 0.5565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -344999*u**2 - 16. Let i be w(4). What is i rounded to the nearest 100000?\nAnswer: -5500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor r**2\/5 - 117*r + 3330.\nAnswer: (r - 555)*(r - 30)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l*l\/(l*l*l\/(l\/(l\/(l\/(l\/(l*l*(l\/(l\/((l**(-16)\/l)\/l)*l))\/l*l)*l)))*l))*l*((l*l**(-8)*l)\/l)\/l*(l**3)**49 assuming l is positive.\nAnswer: l**122","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1031, -1028, -1011, -974, -911, -816, -683?\nAnswer: -506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 4\/(-10) + 4\/((-60)\/(-81)). Suppose g*n - 197 = 163. Is 18 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1 + 11012020012?\nAnswer: 11012020011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 318670425, 318670423, 318670421?\nAnswer: 318670419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2.97949 + -2.782. Round j to three dps.\nAnswer: 0.197","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -11*i**2 - 4*i + 6 + 8 - i**3 - 17. Let j be z(-12). Suppose 5 - 59 = -2*a. What is the greatest common divisor of j and a?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 58*r**3*t**2 - 17*r**3*w**3 - 1849*r**2*t**2*w**2 + 205*r**2*t**2*w + 2*r*t**2*w wrt w?\nAnswer: -102*r**3*w - 3698*r**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 61\/2 + -31. Let k be (4\/5 + -1)\/1. Let n be (40\/22 - 2)\/(2\/(-11)*1). What is the nearest to -1 in b, k, n?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 1\/10, 58161, -4 in descending order.\nAnswer: 58161, 1\/10, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Add together 215 and 8.\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2629680 by 876560.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 5412.472 kilometers?\nAnswer: 5412472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4\/7*c**3 + 0*c + 0 + 2\/7*c**4 - 2\/7*c**5 + 0*c**2 = 0. What is c?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + (-14 + -2 - (-5 + 9 - 4))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*c - 5*c - 5*n - 44 = 6*c + 93, -2*c + 112 = -4*n for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) be the second derivative of 0*p**2 + 4\/57*p**3 + 0 + 9\/190*p**5 + 11*p + 10\/57*p**4. Factor g(q).\nAnswer: 2*q*(q + 2)*(9*q + 2)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -132\/203, -11, 2\/5 in decreasing order.\nAnswer: 5, 2\/5, -132\/203, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -200 - o - o**2 + 204 - o + 4*o**2. Calculate v(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 189796312?\nAnswer: 2, 23724539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jvxjjvjvjvxj. What is prob of sequence jj?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 6 = 4*z. Let l(f) = 3*f**2 + f + 4. Let m(x) = -x**3 - x**2 - x - 1. Let y(k) = -l(k) - 3*m(k). Is y(z) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) be the first derivative of l**9\/2646 + l**8\/1960 - l**7\/2940 - 4*l**3\/3 + 5. Let j(p) be the third derivative of d(p). Let j(a) = 0. What is a?\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -r**3 - 2*r**2 + 2*r**3 + 3*r**3.\nAnswer: 4*r**3 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -33.9 times 11.4?\nAnswer: -386.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 14156*v + 32279 with respect to v.\nAnswer: 14156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -27.475 + 11.475. What is the nearest to a in -0.1, 0.4, -14\/3?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 13377349?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is three tenths of a week in minutes?\nAnswer: 3024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*l**4\/8 - 892359*l**3\/2 + 530867938533*l**2\/4 + 530870615613*l\/2 + 1061743015947\/8 = 0. Calculate l.\nAnswer: -1, 594907","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 1647, 3294, 4935, 6570, 8199, 9822?\n\"Answer: -3*l**2 + 1656*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange i + 6*i - 6*i - 1 to the form x + a*i and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = g**3 - g**2 - 8*g - 10. What is i(0)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/8 + (19382\/184 - 9\/16353*158).\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10\/6297 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c + 2*c - 24 = 0. Suppose 0 = -s + 2*d - 1, -s - 51*d + 1 = -52*d. Sort -4, c, s, 2 in decreasing order.\nAnswer: c, s, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 6*c**3 - c**2 - c + 2. Suppose -2*q + 3*n = 176, 4*n = -2*q - 150 - 12. What is the remainder when s(2) is divided by (q\/(-10) - 8)*46?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 158 divide 81332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.2 and 82.3.\nAnswer: 82.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -401*b**6 - 172*b**4 - 177469*b**2 wrt b?\nAnswer: -48120*b**3 - 4128*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, 7, 1\/5, -41, 3\/16 in descending order.\nAnswer: 7, 1\/5, 3\/16, -0.4, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3715?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -58 - -81 - (0 + 28).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y = -5*z + 70, -291*y + 4*z + 6 = -288*y. Calculate the highest common factor of 3 and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2 + 1. Let i = 33 + -30. Suppose -3*x = -u - d*u + 37, u = i*x + 7. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 17\/28 and 31\/10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 35\/4443833 and 28\/1069.\nAnswer: 4443833","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -4913, -28679, -68295, -123767, -195101, -282303, -385379?\n\"Answer: -m**3 - 7919*m**2 - 2*m + 3009","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.6266015 rounded to three decimal places?\nAnswer: 2.627","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 59491218?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1 + -5508?\nAnswer: -5507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 965061207?\nAnswer: 3, 11, 239, 40787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -f**4*j + 50*f**3*j + 20*f**2*j - 2*f**2 wrt f?\nAnswer: -24*f*j + 300*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 2017*0.175\nAnswer: 352.975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) be the second derivative of -a**7\/294 + a**6\/210 + 3*a**5\/70 + a**4\/42 - 5*a**3\/42 - 3*a**2\/14 + 1628*a. Factor z(x).\nAnswer: -(x - 3)*(x - 1)*(x + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2908 and 5308.\nAnswer: 3858916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2801919 is divided by 144?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 3 a when four letters picked without replacement from {w: 2, a: 8}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = t**3 + 16*t**2 + 29*t + 13. Give b(-14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -285, -5, 1, 2, 3 in descending order.\nAnswer: 3, 2, 1, -5, -285","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 18 and 432.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = m**3 - m**2 - 2*m - 1. Let n(z) = 2*z**2 + 53*z + 19. Let u be n(-26). Let v be (0 + 2\/u)\/(35\/(-245)). Determine p(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find g such that -4*g**3 - 4*g**2 + 160*g + 448 = 0.\nAnswer: -4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) be the first derivative of p**2 + 2*p - 704. Let q(t) = -61*t**2 + 3*t. Calculate o(q(k)).\nAnswer: -122*k**2 + 6*k + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3\/52 + -53\/468. Which is the smallest value?  (a) 4\/5  (b) 2  (c) -5\/4  (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -v + 17. Suppose -6*h + 8*h = -2. Let d be 13*(-4 + (2 - h)). What are the prime factors of n(d)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6836611 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.02 - -5.98. Let i = -2 + q. Sort 0.1, -0.3, i.\nAnswer: -0.3, 0.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -13908200*k**3*u**2 - k**3*u + 34*k**3 + 904*k**2*u + 2*k**2 + 57*u wrt u?\nAnswer: -27816400*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f = -5*m + 38, 0 = 3*m + 2*f - 27 + 1. Does 4 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12219 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of 2505021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -773, -8506 in increasing order.\nAnswer: -8506, -773, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 80, 209, 326, 425, 500, 545?\n\"Answer: -z**3 + 136*z - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4*n**5 + 7*n + 3*n**5 - 5*n wrt n.\nAnswer: 140*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (20 - 19)\/(2\/(-8)). Sort -6, -3, g in ascending order.\nAnswer: -6, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -k**3 - 3*k**2 + 9*k + 1. Let a be m(-5). Let y be (3 + (-5)\/2)*6. What is the greatest common divisor of a and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*k - 4*k - 2*k**3 + (2 - 2*k - 2)*(-27*k**2 - 25*k**2 + 31*k**2) + 140 - 437*k**3 - 140 in the form d*k + j*k**2 + r + q*k**3 and give q.\nAnswer: -397","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -s**3 + 6*s**2 - 3*s. Let z be x(5). Suppose -31 = -4*f - h, -5*h + 10 = -5. Let a = f + -2. Solve a*j + z = -0*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - f - 8 = -2*f, -2*s - 4*f = -12. Let x(d) = 5*d**2 + d - 6. Let w be x(-6). Suppose s*a = -a + w. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -5*s**2. Let f(z) = -91*z**2. What is i(f(v))?\nAnswer: -41405*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 0 + 1)*(-12*y + 5*y + 9*y)*(2 - 3 + 3)*(5 - 2 - 1) + (-16 - 1 - 8)*(-3*y + y + y).\nAnswer: 17*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1\/((1*-8)\/2). Let k be (-2 + 26\/12)\/((-1)\/8). Which is the smallest value?  (a) s  (b) k  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 93956 (base 11) to base 8.\nAnswer: 413320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1200.5 + 1200.5016045. Round g to four decimal places.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -82.8 - 4.2. Let u = -81 - m. What is the third smallest value in u, -1, -5, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5)\/60*-12*(-1)\/5*2.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.1 + 0. Let y(n) = -n**2 + 8*n + 1. Let x be y(8). Sort p, 0.5, x in descending order.\nAnswer: x, 0.5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 30534?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -541 - -906. Suppose -1325 + x = -24*h. What is the least common multiple of h and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -1 + (-2)\/(-22)*9. Let q = 1132 - 745. Let s = 388 - q. Which is smaller: s or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4291124.\nAnswer: 2, 157, 6833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 - 6*h**2 - 41*h + 41*h)*(-4 + 4 - 1) - 411 + 735 - 645 + 3*h**2 to u + l*h**2 + k*h and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 3*y + 12. Let l(g) = -g. Determine x(l(t)).\nAnswer: -3*t + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 64.8 + 492.2. Let f = x + -519. What is the nearest to 0.1 in -4\/7, 0.2, f?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 0.24, -1\/5, -2\/277?\nAnswer: -2\/277","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1557 = 23*f + 20201. Let o = f - -65. Round o to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(88)\/(-2*sqrt(8) + sqrt(8))*3 - (1*-2*sqrt(99))\/sqrt(9) - -6*((sqrt(396) + 1)**2*4 + -1*sqrt(396)*1).\nAnswer: 251*sqrt(11) + 9528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1 and 0.054.\nAnswer: -0.054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 266421737 a multiple of 149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -100001101110011 (base 2) in base 16?\nAnswer: -4373","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 679542 >= 679581?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1152 and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-1)\/(3\/30) - 0. Let n = 1 + -7. Let o = n - f. Solve -1 - 11 = o*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1331)*-2*-4 - sqrt(1331) - (1 + sqrt(1331) + -4) - (4 + sqrt(1331) + sqrt(1331)*1 + 0 + sqrt(1331) + -1 + sqrt(1331))) + -2)**2.\nAnswer: -88*sqrt(11) + 5328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = z**3 + 3*z**2 - 1. Let t be v(-2). Does 3 divide (-1)\/3*(1 - 262)\/t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (2\/(-2))\/(3\/(-6)). What is the first derivative of -78 + 4*m**2 + 0*m**u + 32 + 17 wrt m?\nAnswer: 8*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 868 and 560.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -5*h - 4*s, 0 = -3*h - h + 5*s + 37. Find the third derivative of 182 - 12*m**h + 2*m**2 - 182 wrt m.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -a**2 - a + 1. Let v(l) = -4*l**2 - 9*l + 1. Let n(s) = -v(s) + 3*w(s). Let b(u) = u + 1. Let j be b(-7). What is n(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.1 + 334.91520149381.\nAnswer: 334.81520149381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 36\/2717 and -3\/338.\nAnswer: 70642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 8939 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*q + 3*q**2 + 4*q - 20*q**2.\nAnswer: -17*q**2 - 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-116)\/2610*2*4\/(-16)*-1.\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) be the third derivative of -g**7\/504 - g**6\/720 + g**5\/120 + 23*g**4\/24 + 15*g**2. Let m(k) be the second derivative of x(k). Give m(2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 50431?\nAnswer: 29, 37, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 11*f**3 + 25*f**2 + 5*f - 1. Let q(o) = 31*o**3 + 76*o**2 + 14*o - 3. Give 17*i(l) - 6*q(l).\nAnswer: l**3 - 31*l**2 + l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1 + -3. Let p = 35 + -34.6. Let w = 0.3 - 0.4. Which is the nearest to w?  (a) p  (b) -3  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j + 876 = a, 123 = j - 2*a - 87. Let o = 345 - j. What are the prime factors of o?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -f**2 - 16*f + 343. What is v(12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*q + 1709 = -3*q - 64331. Calculate the remainder when q is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 32799?\nAnswer: 3, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -17 or -38042\/2297?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 7689 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 202 + -202.2. Let g = 1.18 + -1.48. Which is the closest to 1?  (a) -5  (b) u  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*((sqrt(192) - (sqrt(192)*-1 + 0)) + sqrt(192))**2.\nAnswer: -5184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-2\/9)*j*j**(-3)\/j*j)\/(j*j\/(j\/(j\/j**(1\/5)))*j*j*j**(-2))*(j**(1\/3)\/((j**(1\/11)*j)\/j))\/(j**(-2\/3)\/j)**(-32) assuming j is positive.\nAnswer: j**(-28271\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is -3 at most -103103?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -6159  (b) -87925  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4420 + 5690 = -320*p - 4610 for p.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -743, -745, -749, -755, -763?\nAnswer: -773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*y = 5*t - 30, 2*y = -201*t + 197*t + 20 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 2*v + 9. Let u be k(-6). What are the prime factors of 2\/(-2)*(0 + u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 2*d**3 - 512*d**2 - 555*d + 10869. Determine y(257).\nAnswer: 332","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oh when two letters picked without replacement from {v: 1, y: 4, o: 3, t: 1, h: 2}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = 13*f**2 - 7*f + 2. Let c(o) = -26*o**2 + o + 5. Let j(l) = 9*l**2 - 2. Let d(s) = 3*c(s) + 8*j(s). Let x = 1127 - 1120. Determine x*d(q) + 3*m(q).\nAnswer: -3*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 170768?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x and 1 l when two letters picked without replacement from {x: 1, y: 2, l: 7, c: 2}.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 1345*5\nAnswer: 6725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16276 + 26414 = 6*d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 65*p + 240 = 0. What is the closest to p in -0.3, -5, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.7 + -1.7. Let o = -2 - -3. What is the closest to 1 in o, 0.1, u?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 778076 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2961911 to the nearest integer?\nAnswer: 1721","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (7\/((-1862)\/475))\/(15\/(-210))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 683?\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (z + 2*z - 2*z)*((3 + 3*z - 3)*(0 - 5 + 3) + 2 - 2 + 3*z) to the form g*z + d*z**2 + w and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 9*d - 139. Let v = -841 - -862. What is the tens digit of r(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -2*p**2. What is c(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 68*o + 12 = 74*o. Suppose 2*t = 0, o*t = -u - 2*t. Let c be (-2)\/68*(-1 - -11). Which is smaller: u or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*u**2 + 0*u**2 - 4*u**2 + 3*u**3 + 2*u**3 wrt u.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.4, 45, -0.06, 5, -36\/5, 0.3 in descending order.\nAnswer: 45, 5, 0.4, 0.3, -0.06, -36\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k*k**(-21)*k)\/k)\/k)\/(k**(-8\/13)*k*k) assuming k is positive.\nAnswer: k**(-291\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/329 in 0, 0.3, 3\/5, -2\/7, -0.7, -49?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = 231*m + 124. Is k(13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -3*l. Let a(x) = 8*x + 59. Let n be a(-7). Let y(b) = -4*b - 1. Let h be 3\/(1\/2 + (-3 - -1)). What is h*y(f) + n*i(f)?\nAnswer: -f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -47 + 54. Suppose 2*q = f*q + 25. Suppose 2*t - 16 = -2*t. Put t, q, -0.2 in ascending order.\nAnswer: q, -0.2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = 12*q**4 - 142*q**3 + 1714*q**2 + 14390*q + 20746. Let c(k) = -k**4 + k**3 + 3*k**2 + k - 1. Let h(r) = 10*c(r) + n(r). Factor h(w).\nAnswer: 2*(w - 36)**2*(w + 2)*(w + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4925823 + 0.7\nAnswer: 4925823.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1664*t*u**2 - 26*t*y - t + 5*u**2*y - 2*u*y + 2*u + y with respect to y.\nAnswer: -26*t + 5*u**2 - 2*u + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1 + 4. Which is bigger: 1.5 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1294\/5720 - (-84168)\/(-364728).\nAnswer: -1\/220","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 1, a: 3, c: 1, v: 1, f: 2, e: 1}. What is prob of sequence cm?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 4602647 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xxy when three letters picked without replacement from {x: 6, y: 12}?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*((2*sqrt(77) - sqrt(77))\/sqrt(11) + sqrt(49)\/(-2*sqrt(7))).\nAnswer: 3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**(-6)*z*z**6*z*z*(z*z**1)**3 assuming z is positive.\nAnswer: z**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 510 and 2487610?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 298 minutes after 5:59 PM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/7 in -118\/261, 1, -9?\nAnswer: -118\/261","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -46 - -83. Let w = -36 + t. Which is the second smallest value?  (a) w  (b) 2\/5  (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-224)\/(-5040) - 476\/39060?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1351 + -1350.8. Let n be (1 - 0)\/(1\/(-1)). What is the closest to k in -0.2, n, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 20817, 41637, 62457?\n\"Answer: 20820*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 155 divide 600005?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {x: 5, i: 5}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 452, 908, 1366, 1826, 2288, 2752?\n\"Answer: y**2 + 453*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -7*f - 22. Let s be q(-12). Suppose c - 3*c = -s. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*b**2 + 99921*b + 99912 = 0.\nAnswer: -33304\/3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7229669 is divided by 14431.\nAnswer: 14169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2866\/10 - (-6)\/15. Suppose -2*c + q = -3*y - 106, -2*y - 955 = -5*c. What is the highest common factor of 21 and c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 58859579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 11 + 12200001?\nAnswer: 12200012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -11122 + 110020201?\nAnswer: 110002002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (25 + 220\/(-11))*56\/(-3370). Is 1 not equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.846 and 0.067?\nAnswer: 0.779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*s + 51 = -8*s. Suppose 0 = 2*d - 4. What is the derivative of -d - a + 0*a + s*a wrt a?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4196)\/(-150) - 28)\/((-1)\/(-3))?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is (1 + -3)*-1 + (-88088)\/(-13) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m = -3*d - 22, 54*m - 1 = 57*m + 4*d. Solve -5*k = -m*i + 15, -22*i = -3*k - 27*i + 31 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -i. Suppose 4*g + t = -3*t + 16, -4*t + 16 = -3*g. Suppose h + g*h = 0. Let f(l) = -4*l**2 + h*l**2 + 2*l**2. Give f(q(j)).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 10515*x**2 - 10515*x**2 + 753*x**4 + (x**2 - x + x + 2)*(-3 + 3 - 6*x**2) in the form z + p*x + n*x**4 + d*x**3 + a*x**2 and give a.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -a**4 - 3*a**3 + 2 - 23*a**2 + 20*a**2 + 14*a**4 - 3 - 3*a**4 to k*a**2 + l + x*a + z*a**4 + d*a**3 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*sqrt(7)*2 - ((3*sqrt(112) - sqrt(112)) + sqrt(7)) - (-2 + 5 + (sqrt(7)*1 + -5)**2).\nAnswer: -35 + 11*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -85 - -85. Suppose 2*u - 228 - 108 = y. Does 24 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = a**3 - 15*a**2 + 40*a - 56. Let z be n(16). Suppose 26*h - 22*h - 4*k = z, -2*h = -3*k - 420. Is h a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = 2*f + f**3 + 2*f - 5*f**2 + 0*f**2 + 2. Let t = 0 + 38. Let l be t\/8 - (-9)\/(-12). Give a(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 23362349?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*o**3*z**2 - 3*o**3*z - 70*o**2 - 43*z**3 wrt z.\nAnswer: -6*o**3 - 258*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 458 take away 416265008?\nAnswer: -416264550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1300 = -a + 18*a - 82*a for a.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) be the first derivative of 3 + 2\/3*q**3 - 19*q - 19\/2*q**2. Is u(-22) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/3, -283\/3219, 0.052 in ascending order.\nAnswer: -283\/3219, 0.052, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -18 - ((-70120)\/1560 + 27)?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 6*z**2 + 3*z. Let p(i) = -7*i**2 - 4*i. Let s(r) = -8*r + 24. Let h(f) = -f - 1. Let k(v) = -4*h(v) + s(v). Let a be k(6). Calculate a*o(u) + 3*p(u).\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-74)\/185 - ((-22)\/(-20) + -1). Put d, -0.2, 0.06 in increasing order.\nAnswer: d, -0.2, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*p - 4 - 11. Suppose p*u = -u + 3600. Let q be (u\/7)\/(-5)*-7. Round q to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 559*c = -468*c - 43*c + 50136 + 53654 for c.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express -199 - 30*v - 2113 + 28*v as j*v + y and give y.\nAnswer: -2312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = g**3 + 16*g**2 - 18*g - 1. Let q(u) = -3*u**2 + u**3 - 3*u - 5 - 5 + 7. Let a be q(-2). Let z be c(a). Solve y = -3*y + z for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7 + (8 + 9 - 6)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2823, 22605, 76315, 180921, 353391, 610693?\nAnswer: 969795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Add 1068 and 59933.\nAnswer: 61001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Product of 28 and 67.\nAnswer: 1876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -f + 20. Let q be z(18). Let l be -14 + 10 + (q - (-18 - 0)). Solve 0 = -5*w + w - l for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -30649.98 - -30650. Is l less than -506?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 46 = 3*o + 4*x, 5*o - 5*x + 13 = 78. Calculate the remainder when 23 is divided by o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 513724 is divided by 256598?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -4*a**2 - a - 104. Let q(m) = 3*m**2 + 2*m + 103. Give -3*q(k) - 2*v(k).\nAnswer: -k**2 - 4*k - 101","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 7 - 3. Is 2 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -4026*a - 24154. Let x be j(-6). Let i = 0.8 - 1. Let m = 0.2 + i. What is the closest to x in -6, 1\/3, m?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -75583, -151173, -226763, -302353, -377943, -453533?\n\"Answer: -75590*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 53*t - 4. Let n be j(-6). Let c = -574 - n. Let m = c - -371. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + 2*sqrt(68).\nAnswer: -5 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(200) + sqrt(200) + (sqrt(200) - -2*1*sqrt(200)))\/(sqrt(484)*-3*-6).\nAnswer: 25*sqrt(2)\/198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4045 - -4048. Solve 5*n + 35 = 7*u - f*u, u = -2*n - 1 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(20)\/((sqrt(80)*4 - sqrt(80))\/sqrt(8)).\nAnswer: sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5070 by -39.\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ug when two letters picked without replacement from {y: 1, o: 3, u: 4, m: 2, a: 4, g: 3}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 64 divide 439979136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 - (-9 + 22200\/1240)?\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = b**3 + b + 8. Let u be v(0). Let o = u + -11. Does 23 divide 41 - (-3 - o - 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 71086?\nAnswer: 2, 35543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 9536?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (3 + 0)\/(42*(-4)\/(-32)). Let p(d) = 7*d - 13. Let y be p(2). Sort 4, y, c.\nAnswer: c, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1 + 11. Let m = v + -6. Let s be ((-1)\/m)\/(4\/(-8)). Which is smaller: -3 or s?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + 5*u = -173 - 1387, i + 4*u - 317 = 0. Let m = i - 192. What is the greatest common factor of m and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 48351 is divided by 104?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -2*p**2 + 16*p - 29. Determine k(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -u**2 + 4*u - 1. Let v be s(3). What is the second derivative of 0*w + v*w + 7*w**5 - w**5 wrt w?\nAnswer: 120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 10597378*m**3 + 3*m**2 - 4490833?\nAnswer: 63584268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 94\/27  (b) 0.4  (c) 0.1  (d) -1\/2  (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1636 * 13489.\nAnswer: 22068004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-15)\/10*(-2 + 3)*-2. Suppose -5*a + 4*m + 3746 = 0, 328 = -4*a - c*m + 3300. Suppose 9*n + 179 = a. Does 9 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 173982 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 82830 is divided by 178.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, 2, 7\/1864, -0.2 in descending order.\nAnswer: 7, 2, 7\/1864, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 41\/112896 and -85\/8064.\nAnswer: 112896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1989*a - 754276 - 391082 = 16752*a + 15378*a for a.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1103.\nAnswer: 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 215 = -5*l - y, 4*y = 5*y + 5. Let v = -10 - l. Is v a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6925000?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 118370 and 368410.\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = c**3 - 2*c**2 - 3*c - 20. List the prime factors of d(7).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:59 AM and 6:46 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 1552673 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 226364?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-276)\/48)\/((-1)\/25556). Let h be (-5)\/3 - l\/(-69). Let u(x) = 2128*x - h*x + 19*x**2. Let q(m) = 3*m. Calculate q(u(n)).\nAnswer: 57*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2453, 0.4, 2, 2.12, -11 in descending order.\nAnswer: 2.12, 2, 0.4, 0.2453, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 44 a factor of 39878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 23830253, 47660507, 71490761?\nAnswer: 95321015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 6 - 2. What is the remainder when 15 is divided by y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 13860 and 2970.\nAnswer: 41580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -101, 170, 0, -5, 4, 66.\nAnswer: -101, -5, 0, 4, 66, 170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = g + 1. Suppose 2*h - 1 = 1. Let f(i) = -4*i - 8. Give h*f(w) + 6*a(w).\nAnswer: 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 9841628107 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 3\/44902 and 73\/1560.\nAnswer: 2694120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.20935 rounded to two dps?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5 + 1 - 1)*(-6 + 42*y - 61*y + 10) as x + o*y and give x.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - 18 = -m, -31 = -5*z - 11. Suppose c + i = m, c + 4*i - 3 - 3 = 0. Solve 2 = -2*b + c for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -5*k**2*l**3 - 3*k**2*l**2 + 290*k**2*l - 29*k**2 - 210*k*l**2 - 14532450*l**4 wrt l.\nAnswer: -30*k**2 - 348778800*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -x**2 + 10*x + 11.\nAnswer: -(x - 11)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 - 129*j + 7*j - 4 - 158*j.\nAnswer: -280*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 458748?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -427 - -655. Suppose -3*s + 161 = -4*r, -4*s + r + r = -a. Is s a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(-3 + (3 + -4 + sqrt(17))*3 + 3).\nAnswer: -18 + 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/2*(-21)\/252?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30*v - 33*v = -7*v + 22*v. Let l = 131\/3 - 43. Solve 2\/3*k**2 - l*k**4 + 0 - 2\/3*k**5 + v*k + 2\/3*k**3 = 0 for k.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2.8 + 3.8. What is the second biggest value in 0.8, 2\/3, j?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 - 4 + 0)*(2 + u - 2) - 3 + u - 2 + 3.\nAnswer: 3*u - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (12 + (-7878)\/(-65))\/(3\/10). Calculate the greatest common factor of 592 and m.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.0183?  (a) -7  (b) 9  (c) 16  (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 64 divide 6615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -7.9*-6.57\nAnswer: 51.903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 - 6*i**2 + 0 + 2.\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 64516*o - 64515*o = t - 2*t - 5, 14*o + 26 = -3*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1*21*5\/(-240)*4\/56*-6?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 28490*r**3 - r**2 - 3*r - 170.\nAnswer: 170940","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-7)\/2*(-24)\/42*-2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 0\/1 + 0\/2. Suppose 2*d + 3*x - 20 = v, 2*x + 13 - 3 = 2*d. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 5*g**2 + 3*g - 2964 - 43*g**3 + 3041 + 46*g**3 + 2*g**4 - 5*g**2 as k + y*g + c*g**2 + h*g**4 + s*g**3 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -2*p + 20. Suppose -4*d - 5 - p = 0. Let j = -2\/99 - -35\/99. Which is the nearest to 0.1?  (a) d  (b) j  (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -59 + 63. Suppose 6803 = -z*y + 54427. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 17 + -12. Suppose 76 = -0*a + 4*a + 4*n, -n = -u*a + 83. What is the remainder when ((-1)\/1)\/((-1)\/a) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (9\/12)\/((-9)\/(-56)). Is j equal to 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) be the second derivative of 2*y**4\/3 - 3*y**2 + 13*y. Differentiate o(w) with respect to w.\nAnswer: 16*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 divided by -12015\nAnswer: 4\/12015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 349617.\nAnswer: 3, 116539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5003 (base 10) to base 8.\nAnswer: 11613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 9895 at most as big as 13148?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 32380 rounded to the nearest one thousand?\nAnswer: 32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(66)\/(2*sqrt(150)).\nAnswer: sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7260 divided by 10.\nAnswer: -726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -16167\/661 or -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/(-5))\/((-7)\/((-28)\/(-8))).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 37*s**4 - 38*s**4 - s**2 + 2*s + 11 + 0*s - 3*s - 6 to the form q*s**4 + m + n*s**3 + l*s**2 + z*s and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**2*m*(m*m\/m**(-2\/11))\/m)\/((m**(3\/5)*m)\/m**6))\/(m**2\/(m\/((m\/m**(-3\/5))\/m))*m**7\/m*m*m**0*m) assuming m is positive.\nAnswer: m**(-56\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or 25035?\nAnswer: 25035","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -200 = 144*u - 124*u for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*((sqrt(605) + -2)*6 - ((-2 + sqrt(605) - sqrt(605)) + 0) - (-1*sqrt(605) + -4 + 1)))**2.\nAnswer: -4312*sqrt(5) + 118776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -9, -42, -97, -174, -273, -394?\nAnswer: -537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-7)\/(-4))\/(441\/42).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 82.9 in 2, -1\/47, -37?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c - 2*a + 20 = 0, 2*c - 3*a = 6*c - 28. Solve -c*o - 2 = 10 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.554 - 79.546. Let f = -80.099999449 - p. Round f to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 6*(-5)\/(-90)*9\/(-4). Let p(x) = x**3 - x**2 + x - 1. Let k be p(1). Which is bigger: r or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 3, 48, -474, -4, -6 in increasing order.\nAnswer: -474, -6, -4, 1, 3, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -35 + 35. Solve 4*q = -t - 4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + -1*sqrt(1377) + -4 + -5 + -2*(0 + sqrt(1377) + -2))**2*-6.\nAnswer: -74358","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 - 2 + 2*s**5 + (2 - 2 - 2*s)*(-2*s**4 - 3*s**4 + 15*s**4) + 92011 - 1872*s**5 - 92011.\nAnswer: -1890*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*l - 0*l + 108. Let w be (-33)\/l + (-6)\/(-27). Let o(g) = -2*g + 10. Let y(j) = -2*j + 6. Let b be y(8). Let t(s) = -1. Give b*t(r) + w*o(r).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 33959.\nAnswer: 29, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 1, g: 1, e: 2, t: 2, i: 2, v: 1}. Give prob of sequence vtt.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 94 - 97. Let q = 1 - o. Let m be (11\/(-5) + q)\/(1\/10). What is the highest common divisor of m and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 2*i - 1)*(5*i - 2*i - i) + 1 - 1 - 2*i**2 + (10*i - 5*i + 7*i)*(4*i + i - 3*i) + 0*i + 0*i - 2*i**2.\nAnswer: 24*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 13041905 to the power of 1\/2, to the nearest integer?\nAnswer: 3611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -293.8205 - -294. What is a rounded to two dps?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 8396, 33160, 74340, 131948, 205996, 296496?\nAnswer: 403460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3691, 2, -4\/3, 4, 1\/3 in ascending order.\nAnswer: -3691, -4\/3, 1\/3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p - 4*f = 1, 4*f + 13 = 2*p - 3*p. Suppose -p*t = -7 - 20. Solve -2*a - 3 = -t for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 499 = -5*b, 339 = 2*y + 530*b - 533*b. Calculate the lowest common multiple of y and 96.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 505 minutes after 10:15 AM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Are -82\/25 and -4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = m**3 - 3*m**2 + m + 4. Let i be o(3). Suppose 5*d + i = 17. Solve d*s + 2 + 2 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {w: 5, g: 11}.\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.0326466139167 and 5.\nAnswer: 5.0326466139167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -2*x - 1. Let z be g(-1). Let s = 31.8 + -32.12. Which is smaller: z or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 5680 = 4*q - 16375, 5*f = 2*q - 11011. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 1 b when two letters picked without replacement from anbpd.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 37937, 37938, 37939, 37940?\nAnswer: 37941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 11 + -7. Is 8 + (-2)\/x*2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.8968 - 4.1032. Sort -11\/5, -1, 3, 0.4, p in descending order.\nAnswer: 3, 0.4, -1, -11\/5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1379?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 449713 is divided by 162?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 10*g = 6. Let y(j) = 4*j**2 - 1. Let l be y(g). Solve -t + 2*t = 0, l*d = t for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 14.662107 and -0.1.\nAnswer: -1.4662107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cgccgcgccgccccgc. Give prob of picking 2 g and 1 c.\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -1444, -1340, -1142, -826, -368, 256?\n\"Answer: 4*s**3 + 23*s**2 + 7*s - 1478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18262.\nAnswer: 2, 23, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*g - 6*a - 52 = -58, -2*g + 2*a = 14 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12559354?\nAnswer: 2, 37, 43, 3947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from corhrrjrpppj. Give prob of picking 1 j, 1 h, and 2 r.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 105 (base 13) to base 11.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -5 - c1b013?\nAnswer: -c1b018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t = -3*t + 20. Let a(p) = -3*p + 2. Let y(o) = -2*o + 1. What is t*a(s) - 7*y(s)?\nAnswer: 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -22 + 18. Let q be v\/(-18) + 258\/54. Suppose n = -q*n. Solve n = -4*w - 2 - 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 5\/8 of a kilometer?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 70\/(-6)*(-13 + 10). Let p = -1 - -6. Let g be p\/y*(0 - -2). Which is the smallest value?  (a) -0.1  (b) g  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is i in -i**3 + 5*i**2 - 8*i + 4 = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:58 PM and 6:48 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -7*w - 9. Let g(u) = 4*u + 5. Let c(y) = 4*y - 5. Let f be c(0). Determine f*g(i) - 3*n(i).\nAnswer: i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 165280539 to the nearest integer?\nAnswer: 12856","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 52 times 37\nAnswer: 1924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-60)\/(-6))\/5 + 29. Let f = 35 - x. Solve -2*p = -4*p - 8, -f*j + 5*p = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -526*v**3 - 17360*v**2 - 16898*v - 64 = 0. What is v?\nAnswer: -32, -1, -1\/263","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*d - 3*d - 8 = 0. Suppose -4*g = d*z - z - 37, -5*g + 40 = -5*z. Calculate the highest common divisor of g and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -20*b**2 - 742*b - 3196. What is w(-5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -307 + 431. Suppose 5*o + 29 = r. Calculate the remainder when 37 is divided by o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -149241 = -8981*n - 40997 + 107300 for n.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -405 - -418. Solve 8*r - p*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29*x + 782 = -5598. Calculate the greatest common divisor of x and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18178502 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 8.241248 hours?\nAnswer: 29668.4928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*w + 0*w + 0*w)*(-w + w - w) - w - 2*w**2 + w + (-1 - 2 + 5)*(-w - 2 + 2)*(0*w + w - 4*w).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14907835?\nAnswer: 5, 67, 44501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 63 and 1029.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 11283263 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 80731 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.7681 rounded to 1 decimal place?\nAnswer: -4.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 7885 and 12634924.\nAnswer: 1577","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -3\/5  (b) 7  (c) -0.05  (d) -241  (e) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**(-2\/11)*n*n\/((n**(-2)\/n)\/n)*n*(((n\/n**(-7))\/n)\/n*n*n)\/(n**(1\/2)*n))**(-7\/10))**(1\/16) assuming n is positive.\nAnswer: n**(-2051\/3520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qqaa. Give prob of picking 2 a.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 322 = 1123*u - 1284*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -86741242742 - -76.5.\nAnswer: -86741242665.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 220\/(-36) - (-63)\/(10 + -1)\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 244 is divided by 122.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:02 AM and 6:20 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 9 + -1. What is the first derivative of -t + 10*k**3 - 14 + 4 wrt k?\nAnswer: 30*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = 2*v**2 + 10*v + 6. Suppose 3*u - 25 = -7. Suppose -3*n + 2*x = x + 18, 0 = -n - x - u. List the prime factors of t(n).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = 2*r**2 + 3*r - 402. Let v be b(-15). Let d(p) be the third derivative of 0 - 5\/6*p**v - 18*p**2 - 1\/60*p**5 - 7\/24*p**4 + 0*p. What is d(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r*r\/r**0)**(-12\/5))**(4\/9) assuming r is positive.\nAnswer: r**(-32\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2, 8, 32, 74, 134, 212, 308?\nAnswer: 422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -11*b + 87. Let u(d) = -10*d + 86. Let o(a) = 3*r(a) - 2*u(a). Let v be o(8). Which is greater: v or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = g**3 - 8*g**2 + 8*g - 4. Let c be u(7). Suppose 0*o - 2*f - 22 = -2*o, -c*o + 3 = 3*f. Let w = -13 + 22. Solve 3*b = -w - o for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3903 is divided by 1158.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22 = -5*m + 3*r + 4, -4*r + 5 = -m. Put 0.2, m, 2\/9 in descending order.\nAnswer: m, 2\/9, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 425*k**4 - 462.\nAnswer: 1700*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 16 and 196?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -0.03  (b) -0.1  (c) 2\/59\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -8 + 5. Calculate the smallest common multiple of 1\/(((-2)\/2)\/y) and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -159321.421 to the nearest 100.\nAnswer: -159300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v\/((v**(-9)\/v)\/v)*v)\/v**3)\/(v\/v**(-2\/3))**(-7) assuming v is positive.\nAnswer: v**(65\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -624 - -968. Calculate the highest common divisor of z and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:02 AM and 10:41 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1820 and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 127388899 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(272) - (5 + sqrt(272)*2)) + (sqrt(2057) + (1 + sqrt(2057) - sqrt(2057)) + 1)**2.\nAnswer: 40*sqrt(17) + 2056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/21 of a week in seconds?\nAnswer: 57600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (23 + 7*p**2 - 23)*(-5*p**3 + 4*p**3 + 3*p**3) + 2*p**5 - 7*p**5 + 2*p**5.\nAnswer: 11*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -693855, -2775435, -6244757, -11101839, -17346699?\n\"Answer: -3*b**3 - 693853*b**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 12745*v**2 - 203?\nAnswer: 25490*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.69 + -2.45. Let a = 3.25 + -3.11. Let y = q + a. Which is smaller: y or -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -232 and -16.5.\nAnswer: 3828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 14121.283 rounded to the nearest one thousand?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -2\/11, -0.19, 0.2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express -36 + 8*g**2 + 36 + (14 + 3*g - 14)*(g + 3 - 3) as k*g + r*g**2 + h and give r.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 2516 (base 10) in base 13?\nAnswer: 11b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 6885 and -1254.\nAnswer: -8633790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -1\/3, 93, 5, 0.5, -0.3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -93*s + 14*s = -219778. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*r - 5*r + 458890 - 77362. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2953002 to the power of 1\/2, to the nearest integer?\nAnswer: 1718","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(1\/11)*j\/j**(-10))\/((j\/j**9)\/j**(9\/2)) assuming j is positive.\nAnswer: j**(519\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 2 b when three letters picked without replacement from xxbbcxcx?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = c**3 + 2*c - 10. Let r be 2*(-5)\/(-5) + (4 - 15\/5). Calculate d(r).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.0776 times 26172\nAnswer: -2030.9472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*-3*(-15)\/9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (1466\/2199)\/(-1 - 46\/(-18))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -491 - -497. Which is the nearest to -2\/59?  (a) 1\/2  (b) i  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3 by -13.\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 180*w - 4036. What is a(23)?\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Do 2\/73 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d**(-32))\/d**(2\/7)*(((d*d\/(d*d\/d**18)*d)\/d)\/d)**(1\/25) assuming d is positive.\nAnswer: d**(-5356\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1\/((-98)\/(-32) - 3). Suppose -2*r - 6 + u = 0. Let f(n) = -n**2 + 9*n - 4. Is f(r) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5339 - 5338.9. What is the nearest to v in 3\/5, -35, -0.8, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 106 + -81. Let l = -37 - -12. Let y = j + l. Solve 5*h - s - 4*s - 30 = y, 20 = -5*s for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/10 of a micrometer in nanometers?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {a: 18, i: 1}.\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:17 PM and 10:05 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13706?\nAnswer: 2, 7, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2  (b) 12275  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) be the second derivative of 1\/3*v**4 + 0 + 0*v**2 + 0*v**3 + 12*v - 7\/30*v**6 + 0*v**5. What is the third derivative of o(h) wrt h?\nAnswer: -168*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-7)\/((-266)\/(-76)) - -76?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-54)\/2*64\/(-2592)*-27.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = 2*v - 3. Let w(u) = 5*u**3 - u**2 - 4*u + 487. Let q be w(0). Suppose -14*j = -45 - q. What is the highest common factor of v and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 91 and 416.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40 = -4*m + 2*m. Calculate the highest common factor of 60 and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 316455?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-l - l + 5*l)*(-1 + 1 - 2).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 53*n = 14*n - 702. Which is smaller: n or -8?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + (6 + -6 + (12 - 10) - (1 - 78))?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 76248?\nAnswer: 2, 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f + 8 = -5*z, 3*z + 40 = -5*f + 8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -r. Let f(w) = 5*w**3 + w + 1. Let c be f(-1). Let q(g) = -g**2 + 5*g. Calculate c*j(n) - q(n).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) be the second derivative of 216*f**5\/5 + 252*f**4 + 588*f**3 + 686*f**2 - 512*f. Factor k(r).\nAnswer: 4*(6*r + 7)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 45\/(-60)*(-19)\/(-285)\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 2, j: 6}. What is prob of picking 2 j?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-6)\/(-2)*(-12)\/(-9). Let b be 3\/n + 486\/24. Let w = b + -24. Is -3\/2 > w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16829524?\nAnswer: 2, 17, 37, 6689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 10 - 8. Suppose 0 = -4*b - l + 28, -5*l = -k*b - 3*b + 10. Calculate the smallest common multiple of 7 and b.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-26)\/(-117))\/(-1)*15)\/(2\/(-3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.0877 - -13.0877. Sort z, 2, -0.4, 3\/8 in descending order.\nAnswer: z, 2, 3\/8, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 7, k: 7, o: 5}. Give prob of picking 4 j.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 1709.7 rounded to the nearest 100?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4210775 is divided by 233?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4.3 * 1242251.\nAnswer: 5341679.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = x - 4. Let g be v(11). Let j = 3 + g. Suppose -j*i + 15*i - 285 = 0. What is the remainder when i is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = m**3 - 9*m**2 - 9*m - 6. Let z be g(10). Suppose 2*r = -4*b + 9*b + 489, -z*r = 2*b - 1014. Suppose 7*i - 413 = r. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2461, -2462, -2471, -2494, -2537, -2606?\nAnswer: -2707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -101101001100111011011110 (base 2) to base 3\nAnswer: -211022000101002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v = -7 + 137. Let u = v - 17. Let q = -3 - u. Does 17 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b + 7 = 27. Let d be 44\/(-10) - 2\/(-5). Which is smaller: d or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = t**2 - 20*t - 5. Let i(j) = 7*j + 16. Let v be i(12). Suppose 0*y + 2*n = 5*y - v, -2*y - 5*n = -40. Let k be m(y). Put -1, k, 1 in descending order.\nAnswer: 1, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is 10087.98144 rounded to the nearest integer?\nAnswer: 10088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e, 1 l, 1 r, and 1 f when four letters picked without replacement from {f: 2, l: 1, t: 2, e: 1, r: 1, n: 2}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -i**2. Let s(d) = 57778*d**2. What is s(v(g))?\nAnswer: 57778*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -477188 divided by 119297?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = 3*v**2 - v - 3*v**2 + v**3 + 2*v**3. Suppose -2*p + 22 = -2*m - 3*m, 2*m = 3*p - 11. Determine j(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -410452 from 38.484749.\nAnswer: 410490.484749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p - c = -0*c - 88, 99 = 5*p + 4*c. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from hhsnnhhnhnhhshfh.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3\/(-8)*2)\/(16\/768*63).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m + 10 = -5*b + 37, 38 = 4*b - 5*m. Let g(q) = q**2 + 9*q + 5. Let n be g(-9). Suppose -5*k + 4*k = -n. Solve k*x = -b - 3 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 248 + -248.14. Is v at least as big as 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 798075.\nAnswer: 3, 5, 3547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1013 - -10?\nAnswer: -1003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -r - 3*d = 8, -4*d - 11 = -2*r - d for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 3397 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1002757 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 19794 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.17 - 7.17. Let u = k + 6.9. Sort -0.2, 1\/3, u in descending order.\nAnswer: 1\/3, u, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -117662, -117681, -117700?\n\"Answer: -19*q - 117643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 534903794 to the nearest integer?\nAnswer: 23128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 6657063 or 6657065?\nAnswer: 6657063","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 6.1 + -3.3. Let y = x - 3.56. Round y to 1 dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2.362 + -2.262. Which is the nearest to 1\/7?  (a) 4  (b) -0.03  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 212 times -0.2\nAnswer: -42.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3134851?\nAnswer: 17, 61, 3023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: ((-90)\/(-16))\/3 + -2\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 166, 191, 216, 241, 266, 291?\nAnswer: 316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*m + 8*m - 518 + 5*m.\nAnswer: 13*m - 518","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 6035300 rounded to the nearest ten thousand?\nAnswer: 6040000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1 + 3042?\nAnswer: 3041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = p**2 + 2. Suppose 0 = 2*x - 2*v - 2, x = 2*x - 2*v - 2. Let d be w(x). Suppose -d*u = -4 - 8. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*o**3 + 156*o**2 - 328*o = 0.\nAnswer: -41, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-10)\/140*7)\/((-3)\/(-36)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) be the third derivative of -o**5\/20 + 2*o**2. Let h(x) = -3*x**2. Let v(w) = 4*w - 4*w + 2*w**2. Let s(k) = -4*h(k) - 5*v(k). What is s(r(i))?\nAnswer: 18*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*z - 50 = 3*z - o, -2*o + 4 = 0. Let b(x) = x**2 + 23*x + 101. Let v be b(z). Put -3, -1, -2, v in increasing order.\nAnswer: v, -3, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 4 - -4190c5?\nAnswer: 4190c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 14 and 34920970?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -5*b**2 - 6. Let w(v) = -15*v**2 - 18. Determine 14*o(s) - 4*w(s).\nAnswer: -10*s**2 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -143547, -143540, -143533, -143526, -143519, -143512?\nAnswer: -143505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*g + 9*g - 106 - 100 - 11*g**2 + 206 in the form j + u*g + f*g**2 and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*w**4 - 1675*w**3 - 2133975*w**2 - 52312925*w - 96103430 = 0.\nAnswer: -491, -23, -2, 851","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -24.88 + 24.8798439. Round b to five dps.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*g + 0*g + g)*((1 - 1 - 2)*(3*g + 1 - 1) - 21*g - 29*g - 38*g)*(-4*g + 3*g - g) - 2*g**2 + 2*g**2 + g**3.\nAnswer: 189*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/6)\/((-2)\/(570\/19)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = z**2 + 10*z - 12. Give a(-9).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 488, 11.\nAnswer: -3, 11, 488","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -2, 93, -4, -2\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is sixty-seven fifths of a second in milliseconds?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 59188 by -199.\nAnswer: -59188\/199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2552572 is divided by 145.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (24\/(-40))\/(((-9)\/(-6))\/1).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (n + 11*n**2 - n)*(-4 - 2 + 7)*(-8921*n + 1003*n**2 + 8921*n) as y*n**3 + s*n + g*n**2 + z*n**4 + o and give z.\nAnswer: 11033","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 63 minutes after 1:23 PM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 15386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 11.019115 to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**0)**(1\/41)*y\/(y**(-7)\/y)*y*y**(3\/7)\/y*(y**4*y**(-2\/9))**(-2\/89) assuming y is positive.\nAnswer: y**(52390\/5607)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 35\/10*8\/7. Suppose 6*o - x*o - 4 = 0. Does o = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = q**3 + 52*q**2 - 372*q - 129. What is x(7)?\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = m**3 + 3*m**2 + 8*m + 19. Let c be j(-3). Let u be (-39 + -1)\/c + -1 + -2. Solve -10 = -5*v + u*q, 2 = -3*v + 2*q + 7 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1058952.\nAnswer: 2, 3, 44123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (3\/(-24))\/(14\/(-84))*198\/(-45)*-10\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*k - 2*p + 2 = 0, 15*k + 15 = 20*k + p for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16416.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1297996.\nAnswer: 2, 7, 151, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = c**2 - 50*c + 499. Determine l(14).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, 1\/4, -2\/7, 0 in ascending order.\nAnswer: -7, -2\/7, 0, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -278 less than -5.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 1800, 1777, 1736, 1671, 1576, 1445?\n\"Answer: -p**3 - 3*p**2 - 7*p + 1811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -226 by -2.\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -1 and 1.57?\nAnswer: 2.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 1450 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 633914.4 meters in nanometers?\nAnswer: 633914400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-6004)\/(-50) + 3 - 60\/750. What is the highest common factor of z and 1599?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -65668\/493 equal to -133?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*y + 4*a + 99, 4*a = -20 + 8. Calculate the remainder when 133 is divided by y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1243 (base 8) to base 11\nAnswer: -564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 672973 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-756)\/9)\/(-1*2). Let y be (-8)\/j*-6*(-17)\/68. Let h = 4 + -17\/4. What is the third biggest value in 5, h, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -n**3 + n - 1. Let x(s) = 2*s**3 + 2*s**2 - 6*s + 9. What is -6*h(l) - x(l)?\nAnswer: 4*l**3 - 2*l**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 308614930 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s + 9 = s. Let u = 5 + s. Find the first derivative of -2*o**2 + 6 + o**u - 8*o**2 wrt o.\nAnswer: -18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 8*b - 177. Calculate h(0).\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 613247*i**3 + 613242*i**3 - 1226518*i**3.\nAnswer: -29*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3169799 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*w - 3*n + 5, -72*w + 74*w + 40*n - 1 = -45 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: Determine a, given that 3*a**3\/5 + 81*a**2\/5 - 96*a = 0.\nAnswer: -32, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -4*r - 3. Let u be x(-6). Let o = u + -13. Calculate the highest common factor of o and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = 167*r**2 - 3*r - 12. Let p be m(-2). Suppose -1269 - 75*o - 7*o - p - o**2 + 250 = 0. What is o?\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.2076 + -1545.7.\nAnswer: -1545.4924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 95984626 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 3.5, -2\/59, 1, 0.148, 4\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -16\/393 and -77\/50042.\nAnswer: 150126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*n**5 + 11*n**5 + 2*n**5 + (3*n + 0*n - n)*(6*n**3 - 6*n**3 - 16*n**4) - 2*n**4 + 2*n**4 + n**5.\nAnswer: -21*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put together -6 and -885155254.\nAnswer: -885155260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -176, -156, -122, -68, 12, 124, 274?\nAnswer: 468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1937.8 - 1938. Let s be ((-2)\/5)\/((-1)\/(-5)). What is the nearest to s in -5, z, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2+-1197444308.09\nAnswer: -1197444310.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 2\/3, 0.4, 1\/303?\nAnswer: 1\/303","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.225 and -141?\nAnswer: -31.725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -394 + 396. Solve 0*r - 10 = 2*r - u*l, -5*l - 25 = 5*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*c**4 + 308436*c**3 - 3084210*c**2 + 7710400*c.\nAnswer: -2*c*(c - 154208)*(c - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 1\/4 of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 7) to base 16\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = 2*b + 22. Let l be z(-6). Calculate the highest common divisor of l and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve x**2\/4 - 1985675*x + 43684729 = 0.\nAnswer: 22, 7942678","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 71 + -64. Solve 5*b = -m*y + 4*y + 6, y = -3*b + 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -m + 10. Suppose 0 = -3*j + 3*v + 6, -2*j + 5*v + 67 = 66. Suppose -j*w - 3*n = -60, w + 52 = 3*w + 5*n. Determine a(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36*n + 180 = -6*n for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 17*x**2 - x - 5. Let r be p(3). Suppose -3*f + 0*t - r = t, -2*f = t + 96. Let y = 57 + f. Is 4 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 790 (base 10) to base 13.\nAnswer: 48a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 9 + -4. Let y = j - 4.8. Let q = -43 + 42.94. Put q, -2\/9, y in decreasing order.\nAnswer: y, q, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 377316.\nAnswer: 2, 3, 47, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 208131767?\nAnswer: 12037, 17291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*k**3 - 8*k + 1211536 - 17*k**2 - 17*k**2 - 1211535 - 2*k**3 as n*k**2 + g*k + r*k**3 + a and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -23 - -747534?\nAnswer: 747511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7472*s - 7443*s - 94714 = 0. What is the remainder when 3273 is divided by s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 14328815 to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -33 - -46 - (-1 - -9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 28420515 a multiple of 443?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 57748 <= 4677560\/81?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2974, 1856, 736, -380, -1486, -2576?\nAnswer: -3644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) be the first derivative of 9507*j**2\/2 + 2704*j + 7538. What is the first derivative of b(y) wrt y?\nAnswer: 9507","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 402523997 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -w**3 - 2*w**2 + 13*w - 5. Let i be 11\/(-2) + ((-57)\/(-6))\/19. Let a be g(i). Solve -4*y - 5*h = 12, a*y + 4*h + 3 = -3 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 3  (b) -0.5  (c) -83  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 3\/(-18)*-16*3\/2. Suppose 40 = 4*g + l*s, -13 = -2*g - 3*s + 10. Calculate the least common multiple of 1 and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 2*k - 68 = 2*k, 5*k - 55 = -5*s. Suppose 4*b + 3*y = s, -y = -2*b + y. Calculate the highest common factor of 22 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 95725224 divided by -244197.\nAnswer: -392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = q + 3. Let a(p) = -p - 100. Let j(s) = a(s) - 5*r(s). Differentiate j(h) with respect to h.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) be the third derivative of -l**6\/720 - l**4\/12 - 4*l**2. Let c(f) be the second derivative of t(f). Give c(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 76 + 9*i**3 - 15*i**3 + 9*i**3 + (-3*i**2 - 3*i**2 + 4*i**2)*(4 - 2*i - 4) - 2*i**3 - i**3 + 2*i**3 in the form t + q*i + y*i**2 + v*i**3 and give t.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) be the second derivative of -o**5\/20 - 2*o**4\/3 - 4*o**3\/3 - 17*o - 1. Determine z(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ageg when four letters picked without replacement from yaneggce?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9 = 4*w - 1 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 252 minutes after 11:20 PM?\nAnswer: 3:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1135 + 1311?\nAnswer: 2450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 4583 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5322154 by 90206.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: Solve -8193*o - 197223 + 24415 - 228965 = 319211 for o.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 22*((-6)\/(-22))\/((-615)\/(-3895)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a + 2*a - 27 = 0. Suppose 0 = 4*f - 3 - a. Let z(b) = b**3 + b + 11. Let k be z(0). Solve -4 - k = -f*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (295\/3894)\/((-10)\/(-6)).\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -f**3 - 3*f**2 + f + 6. Let b be v(-2). Suppose 0 = 2*i - 0*i. Suppose i = -0*a + a. Is b less than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 107696?\nAnswer: 2, 53, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1 + 1 - -4 - 3 and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:37 AM and 8:20 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 144583 is divided by 20652?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -106*y + 101*y = -2550. Suppose 2*m - 3*i - 216 - 114 = 0, -3*m - 3*i + y = 0. What is the greatest common divisor of m and 126?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1201681436 a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = 4 + x - 5 + 0*x + 0. Let h(r) = 6*r**3 + 6*r - 6. Determine h(a) - 6*o(a).\nAnswer: 6*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1.21, 0, -191, 1?\nAnswer: -191","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((5\/10)\/(4\/(8\/1)))\/1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) be the second derivative of h**7\/7 - 13*h**5\/10 - h**3\/3 - 22*h**2 + 3*h + 3. What is the second derivative of l(a) wrt a?\nAnswer: 120*a**3 - 156*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1\/12  (b) -5  (c) -22  (d) -0.04  (e) -2\/27  (f) 12  (g) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 623 minutes before 6:10 PM?\nAnswer: 7:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = 5 - 8*k**3 + 7*k**3 - 3*k - k**2 + 8*k. Let u(g) = -g**3 - g**2 + 6*g + 6. Give -6*l(i) + 5*u(i).\nAnswer: i**3 + i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-7)\/(196\/8) - 72\/(-7). Let z(h) = 1709*h + 10. Let v be z(t). Round v to the nearest 1000.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1176209002 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 21015002\/3 + (-154)\/33 + 4. Round s to the nearest 100000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = 35*c**2 - 4*c + 4. Let o(j) = 3 + 4 - 7*j - 12045*j**2 + 12115*j**2. Give -7*l(x) + 4*o(x).\nAnswer: 35*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -2*o - 0. Suppose -o*t = -t + 230. Let y = -145 - t. Round y to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = b**2 + 3*b - 4. Calculate w(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2502  (b) 0  (c) -3\/19  (d) -2  (e) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28*v + 92 - 36 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 53 - 7 - (-5 + (-6 - -27))\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 27\/2 of a gram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find b, given that -b**4 + 101*b**3 + 1119*b**2 - 14309*b + 13090 = 0.\nAnswer: -17, 1, 7, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -163 + -393. Which is smaller: s or -554?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -291*o = -12724*o + 2482*o - 975198 for o.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -423 (base 8) to base 3.\nAnswer: -101012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - 5*z = -z + 4454, -2*p + 4470 = 4*z. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*d = -2*d + 43119. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9 + -6 + -13 + (-1 - (-15 + 4)) + -24.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -38041, -38052, -38063, -38074?\n\"Answer: -11*q - 38030","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 865771 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3.6 + 11.1. Let j = g - 7. Let z = 44\/301 + 6\/43. Which is the third biggest value?  (a) -2\/9  (b) j  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4311280008 a multiple of 2532?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 22388 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 92 and 234616?\nAnswer: 5396168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2733 - -2738. What is x in -4\/9*x + 0 + 8\/9*x**2 - 8\/9*x**4 + 4\/9*x**h + 0*x**3 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1 and -3453.\nAnswer: 3453","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 382*u - 75321. Calculate w(196).\nAnswer: -449","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 462 + -450. Solve -13*f + 2*q + b = -14*f, 5 = 5*f - 3*q for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-9)\/(4 - -41) - 1\/(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 199 - 881 + 269 + 199 + 214 - 25*t.\nAnswer: -25*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (20\/(-8) + 1)\/((-6)\/232). Let k = c + -57. What is the common denominator of k - (-12)\/(-9)*(-1332)\/(-256) and -81\/22?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16607496509 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -39445 - -97988. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 600?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = 61*w + 540. Determine k(-7).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -17, 69, -2 in decreasing order.\nAnswer: 69, -2, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 17970ca + 5?\nAnswer: 1797102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 36403094 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -990.788333 rounded to one decimal place?\nAnswer: -990.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - 1055 = 211. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 6929 + -6927. Let h(d) = -4*d**2 - 3*d - 4. Let b(z) = 8*z**2 + 7*z + 9. Determine a*b(t) + 5*h(t).\nAnswer: -4*t**2 - t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1236153346.4 - 0.\nAnswer: -1236153346.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: Sort -79, 3, 2 in ascending order.\nAnswer: -79, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) be the first derivative of -r**4\/18 + 1094*r**3\/9 - 74711*r**2 - 1348082*r\/9 - 9157. Find q, given that y(q) = 0.\nAnswer: -1, 821","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.21 in -0.12, 5, -0.13, 0.1?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o**20*o**1\/o*o**(-4\/9)\/(o**(6\/5)\/o))**(-3) assuming o is positive.\nAnswer: o**(-916\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + (14 + -21 - (2 + -9))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-268)\/(-201))\/(1\/(-27)))\/(-14).\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -k**2 + k. Let a be l(-2). Let i be (68\/(-6))\/((-4)\/a). Let j(b) = -b - 13. Let w be j(i). Solve 4*c = w*y + 20, 3*c + 23 = 8*c - 3*y for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0\/(6\/(14 - 8)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 6, -14, -3 in descending order.\nAnswer: 6, 5, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express 3681*x - 1955*x + 2369*x as o*x + a and give o.\nAnswer: 4095","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) be the second derivative of -5*f**4\/12 - 6*f. Let c(s) = s**2. Give x(c(t)).\nAnswer: -5*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 273 a factor of 26754?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-12)\/20 - 1113\/(-30) and -83\/26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 131 - 126. Solve -2*r + 14 = -l - 0*l, -25 = -j*r for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 98 minutes before 4:37 PM?\nAnswer: 2:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1\/13, -709, 2718?\nAnswer: 2718","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) be the second derivative of a**3\/2 - 3*a**2\/2 - a. List the prime factors of k(6).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -439, -882, -1639, -2716, -4119, -5854, -7927?\n\"Answer: -y**3 - 151*y**2 + 17*y - 304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-15)\/30*3)\/(3\/(-14)). Let m be (-8)\/50*(-10)\/(-4). What is the closest to m in v, -5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -636213671 and -0.421.\nAnswer: -636213671.421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -m - m + d - 9, -6 = m - 2*d. Let h be 0 + m\/(-4) - 0. List the prime factors of 0 - (h + -1 - 73).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-one halves of a millennium in decades?\nAnswer: 2550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 898702?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 901.8 + -902. Which is smaller: -863 or p?\nAnswer: -863","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w = 3*w - 6. Suppose -2*q = -n - 8 + 1, -5 = -2*q + w*n. Solve -4*c + 2 = q*k - 2, -2*k - 8 = -3*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -62*w**2\/15 - 26588*w\/15 - 51118\/3.\nAnswer: -2*(w + 419)*(31*w + 305)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*f - 4*p + 24, -5*f - p = p - 36. Let i be (3\/f*-2)\/(-1). Suppose 9*x - 4*x - 3*k - 45 = 0, -4*x = 5*k + i. Is x a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 114*r + 83*r + 3054 - 99 = 0 for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 0 - 1618\/6084 - (-34)\/(-153). Let o = -2\/169 + j. Let u = -7 + 12. What is the nearest to o in 0.01, -5, u?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 299.1616ng?\nAnswer: 0.0000000000002991616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 32242920?\nAnswer: 2, 3, 5, 89, 3019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 35 - (0 - (-6 + (2 + -4 - 1)))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -555410*u + 558457*u = -140162 for u.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 56114246, 224456977, 505028196, 897827903?\n\"Answer: 56114244*s**2 - s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -1011 (base 5) in base 10?\nAnswer: -131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 77, 59, 39, 17, -7?\n\"Answer: -c**2 - 15*c + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 1, g: 1, c: 1, h: 1, o: 1, x: 2}. Give prob of picking 2 x and 1 c.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 3*s - 86. Let n(c) = 446*c + 1. Calculate g(n(v)).\nAnswer: 1338*v - 83","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 90448671 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 37 divide 469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1231052, 2462038, 3693024, 4924010, 6154996, 7385982?\nAnswer: 8616968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4039?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 414449 or 7460081\/18?\nAnswer: 7460081\/18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*f + 7*f - 20. Let v = -10 + f. Suppose 0 = -v*k - 2*k + 62. Calculate the remainder when k is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*b + 2615 = 1215 + 1136 for b.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o - 2*w = -0*w - 30, w + 21 = 3*o. Let n = o - 2. Solve 2*a - n = -t, 0 = -0*a - a + t - 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.8 + 4286164383.139.\nAnswer: 4286164383.939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*r - 2*r + 3*r)*(6 - 1 - 1)*(2*r + 930 + 1034 - 285) as x*r**2 + q + s*r and give s.\nAnswer: -13432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 9526618 and 3.\nAnswer: 28579854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 111771?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) be the third derivative of z**8\/84 - 4*z**7\/15 + 73*z**6\/30 - 56*z**5\/5 + 24*z**4 + 2*z**2 + 60*z. Factor a(k).\nAnswer: 4*k*(k - 4)**2*(k - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 4 = 0, 5*i - 35 + 0 = -5*n. Let o be (-5 - -6)\/((-2)\/(-4)). Let g be -1*((4 - o) + -12). What is the greatest common factor of g and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t + 2*u + 6211 = 0, 29*t - 25*t - 4958 = -2*u. List the prime factors of t.\nAnswer: 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = r**3 + 8*r**2 + 204*r + 955. Give d(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) be the second derivative of l**3 - 3*l + 8. Let s(a) = 21*a**2. Calculate p(s(o)).\nAnswer: 126*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l = 1 + 1. Let f = l + 5. Suppose f*t - 1169 = -301. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -4606, -5093, -5904, -7039, -8498, -10281?\n\"Answer: -162*q**2 - q - 4443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -3674 divided by 13\nAnswer: -3674\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 192933 - 1?\nAnswer: 192932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15379513 is divided by 5126503?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Determine l, given that 2*l**3\/13 - 568*l**2\/13 - 3462*l\/13 - 5220\/13 = 0.\nAnswer: -3, 290","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -827*l - 1130*l - 11209 = -48392 for l.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*s + s - 4*d + 9, -4*d = -4. Let m be (-10 + 5)*(-1)\/10. What is the nearest to m in s, 5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from pyeaeapaaheppae. Give prob of picking 1 h and 2 p.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 15013 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 92*j**3*o + 2010*j**3 - 160567*j*o wrt j?\nAnswer: 552*j*o + 12060*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -498 by 3.\nAnswer: -166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 140 + -31. Let o = 339 - c. What is the least common multiple of o and 3?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = u**3 + 2*u**2 - 22*u + 3. Let w be s(-6). Let y = -3630 - -3625. Which is bigger: w or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15312320 divided by -4.\nAnswer: 3828080","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3784989 and 962?\nAnswer: 7569978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26166 = -5*o + 2*y + 44563, 42436 = 3*o - y. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 181088180 divided by 10585?\nAnswer: 17108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 426 + -4439b?\nAnswer: -43b75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 11 + 1120?\nAnswer: 1131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-4)\/(12\/(-15)) + -1. Suppose 0*x + x - 5 = -u*j, 11 = 4*j - x. Suppose 2 - 5 - j*t**3 + 1 + 2*t + 2*t**2 = 0. Calculate t.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-14)\/(-56)*(-8)\/9. Suppose 0 = -2*o + 5*o + 312. Let j = o + 413\/4. What is the third biggest value in 0.5, j, 2\/15, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -6167*d**4 - 55*d**3 - d**2 - 46841759*d wrt d.\nAnswer: -74004*d**2 - 330*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 - (-189)\/33 - (12 - (-1190)\/1122)?\nAnswer: -40\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 147 - 136. Suppose -q*w + 129 + 1378 = 0. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x = x - 5*s - 41, 2*x = -4*s - 28. Is 2\/44*x + 26307\/33 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.067 + 0.069. Let a = -2.998 - j. Sort -4, -8, a.\nAnswer: -8, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-6*s + 3*s + 2*s)*(-2 + 7 - 3) + s - 5*s + 3*s + (-2 + 2 - 1)*(-2*s + 0*s + 3*s) + s - 4*s - s)*(0*s - s + 3*s).\nAnswer: -16*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -34 + 46. Solve -2*a - w = a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2053 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 times -26?\nAnswer: -234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-u - u + 0*u)*(-2*u**3 + 3*u**3 - 2*u**3) + 7*u**4 - 6*u**4 + 6*u**4.\nAnswer: 9*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 45659371 times -9\nAnswer: -410934339","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -32*v + 32*v + 32*v**2.\nAnswer: 32*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.3 in -1\/7, 3\/2, -12, -3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000038772 rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zzzzzzzzzrzzzzzzzzzr. What is prob of picking 1 r and 1 z?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) be the third derivative of -d**4\/12 + 8*d**2. Let r(v) = 2 - 1 - 1 + 2*v**2. Determine z(r(x)).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 4830 - 2769. Is d a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (0 - (-7 + 3)) + -6. Let m(p) = p**2 + 12*p - 5. Let o(i) = -i**2 + 1. Let f(z) = m(z) + 3*o(z). Let w be f(6). Does k = w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 822422.9 days to seconds.\nAnswer: 71057338560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1128872592 a multiple of 743?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = m**3 - 6*m**2 + 6*m - 1. Let f be a(5). Put -3, -5, f in increasing order.\nAnswer: -5, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3, -16, -39, -72, -115, -168?\nAnswer: -231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 69 - 65. Suppose -w*a - 33 = -5*u, 4*a = 3*u - 15 - 8. Solve -5*n - 65 = -5*z - 15, -5*n = u*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d + 7*u - 36 = 3*u, 5*u = 15. What is the remainder when 19 is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 653603?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1207?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -1 - (0 + 1) - 4. Let u = o - -12. Suppose -c = -0*c - 6. Solve -3*s = -b + 4*b - u, -3*b = -3*s - c for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-3)\/(-8))\/1)\/(90\/(-30))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 125 = 342*d - 133 - 84 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 66 = 5*u - 11*u. Let i(c) = c**2 + 7*c - 26. What is the tens digit of i(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -631*k - 3785. Calculate u(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 182567702?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = 2*u**3 - u**2 + 2*u. Suppose -i - 26 = -3*l, -4*l - 36 = -9*l - 2*i. Suppose d - 8 = l. What is the smallest common multiple of h(2) and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.5 * -75524\nAnswer: -37762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = b**2 + 38*b + 106. Calculate n(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 0.0508 times -8\nAnswer: -0.4064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 138 = -0. Let w = -9 + j. Is 17 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 6, i: 6}. Give prob of picking 4 i.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 679236472 to the nearest integer?\nAnswer: 26062","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 52199027 is divided by 15069?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide -28 by 263174.\nAnswer: -14\/131587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 + 7 + (-3 - 6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -11 - ((14 - (22 - 24)) + -22)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5076790?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1889.\nAnswer: 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (-368)\/(-138)*(-3 + 0) - 13\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -19\/1374448 and 49\/104.\nAnswer: 17867824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -74 + 124. What is the least common multiple of ((1 - 0) + -25)*l\/(-75) and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 66*n + 59 + 33*n**2 - 227*n + 161*n - 12*n**2.\nAnswer: 21*n**2 + 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -10*q**2 - 123*q + 657. What is y(5)?\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 764 + 8b7b?\nAnswer: 9612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6403038 is divided by 653.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 1956390 a multiple of 331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:03 PM and 12:01 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*l**2\/7 + 10524*l\/7 - 130320.\nAnswer: 4*(l - 84)*(l + 2715)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q - 20 = 2*q, 0 = -3*j + 5*q + 11. Let c be -14 - 2\/3*j. List the prime factors of 1 + (-1 - (c - -2)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 13, b: 5}. Give prob of sequence bbz.\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -2*p**2 + 2*p + 1. Let z be ((-2)\/(-4))\/((-1)\/(-4)). Suppose -7*v + z*v = 10. What is o(v)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1617*h**3 + 2990*h**3 + 10044*h**3.\nAnswer: 11417*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = x**3 - 778*x**2 + 9120*x + 870. Give g(12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 58, 57, 58, 61, 66, 73?\n\"Answer: v**2 - 4*v + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t\/(t**(-37)*t)*(t*(t**(-21)*t)\/t)\/t assuming t is positive.\nAnswer: t**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 754936 and 82960?\nAnswer: 7549360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2335*m**3 - 3*m**5 + 769*m**3 + 778*m**3 + 2*m**4 + 784*m**3 + 9*m**5.\nAnswer: 2*m**3*(m + 1)*(3*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 3106142 = -q - 106154, 3*q - 8999996 = -s. Suppose r = -r + q. What is r rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) 4  (b) 3\/8  (c) -4  (d) 4909  (e) 33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 4451, 4393, 4297, 4163, 3991, 3781?\n\"Answer: -19*h**2 - h + 4471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -1490591142406 - 0\nAnswer: -1490591142406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 529 and 1311?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 2\/9, 5, -895, -0.028?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1403881392 to the power of 1\/5, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 7 - f?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3133 * -87.\nAnswer: 272571","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-r**2 + 0*r**2 + 2*r**2)*(8 - 8 - 9*r)*(-6*r + 2*r + r) to the form d + c*r**2 + q*r + k*r**4 + y*r**3 and give k.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:30 AM and 2:26 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 1, -48975 in decreasing order.\nAnswer: 2, 1, -48975","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -13833, -27742, -41727, -55788, -69925, -84138?\nAnswer: -98427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 3*f - 19 - 2*f**2 - 14*f - 18*f. Let n be k(-14). Let u(v) = -3*v - 12. Let s be u(n). Solve -s = -i + 1 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = j**3. Let o be q(0). Let b = 2 - o. Suppose -18*n + 6 = -15*n. Solve n*p = -b*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 73416 and 220248.\nAnswer: 220248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.02161 - -8733710645.\nAnswer: 8733710645.02161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 325565\/6 + -54260. Let p = -3 + 2. Let r = 1.2 + p. Which is the closest to h?  (a) 0.5  (b) r  (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*q + 5*j + 36, -7*q + 2*q + 60 = j. Let l be q\/(3 + 1) + 5. Calculate the highest common divisor of 72 and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 3 w when four letters picked without replacement from {i: 3, w: 6, m: 1, o: 1, a: 3}.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -200 + 198.26. Let z = s + -0.26. Let j = 58 + -288\/5. Which is the second smallest value?  (a) z  (b) -3\/2  (c) j  (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 6563372, 6563369, 6563366, 6563363?\n\"Answer: -3*j + 6563375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: Let l be (-12)\/(-42) + 12\/7. Suppose -l*w + 140 = 3*n, -3*w = w + n - 270. Let p = w - 34. Calculate the highest common divisor of p and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 517 minutes after 12:51 PM?\nAnswer: 9:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 173 minutes before 10:52 AM?\nAnswer: 7:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*q - 397*q + 2737 = 0. Solve -95 + 102 = -q*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2719 - -2719. Let o(p) = p + 1. Let a be o(7). Solve y = -2*k + a, -2*x = -k + 5 + 9 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - 3 = 1. Put 4, -2, w in decreasing order.\nAnswer: 4, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 5*r**2. Let b = 99 - 87. Let j(v) = -b*v**2 - 13*v**2 + 27*v**2. Give j(g(s)).\nAnswer: 50*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 252572982 and 23613.\nAnswer: 1389","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 10705817173 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-1)\/(1 + -2 - 0). Let m(p) = -2*p**3 - p**2 + p - 1. Let y be m(g). Let f be -1 + y + 1 - -3. Is f equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 (base 10) in base 14?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 1, k: 12}. Give prob of sequence kk.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = 2*i**2 + 5*i. Let o be h(-6). Let c be (-24)\/(-7) + (-18)\/o. What is the common denominator of 165\/80*2\/c and 45\/7?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1440 + 2052 = -115*u + 18*u for u.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*q - 3*q + 0*q to the form z*q + r and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2031828?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1407080 and 696.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 4709 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3\/8995?  (a) 3\/7  (b) -7  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 19.25 + 4.05. Let d = -23.300000369 + o. What is d rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 45*j - 1. Let p be g(1). Let i = -23 + p. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*d + 13*d = -36. Suppose d - 1 = 2*i. Solve -t + i = k, t + 5*k = 2*t + 2 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 67\/17832 and 69\/4.\nAnswer: 17832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*z - 11*z + 143945 = 0. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a hour in seconds?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 0 + 622147?\nAnswer: 622147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hm when two letters picked without replacement from fdtythmdmdyd.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = u**3 - 12. Let r be g(0). Let y(v) = v**3 + 14*v**2 + 17*v - 7. Is y(r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 5*k = -1192 - 1263, 5*x + 5*k - 3035 = 0. Let f = x + -281. Let w = -129 + 176. Calculate the greatest common factor of f and w.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -3352*i**2 - 3354*i**2 + 6707*i**2. Let u(p) = 301*p**2 + p. Determine f(u(x)).\nAnswer: 90601*x**4 + 602*x**3 + x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = n**3 - 17*n**2 - 39*n + 18. Let p be y(19). Let t be (-4)\/(15\/(-9) - p). What are the prime factors of (162\/12)\/(-9) - (-1425)\/t?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -6 in -2\/11, 4\/15, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 3713ec - 2?\nAnswer: 3713ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -3\/5, 4, 0.27, -112, -4.4, -0.5?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5.591575 kilometers to centimeters.\nAnswer: 559157.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 9\/4150700 and 11\/195.\nAnswer: 161877300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -1423, -4126, -8107, -13366, -19903, -27718, -36811?\n\"Answer: -639*m**2 - 786*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 34236*o**3*r**2 + 36*o**3 + 2*o**2*r - o**2 - 6 wrt r.\nAnswer: 68472*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2287\/6 - -381. What is the fourth biggest value in 1, 1\/2, o, 0.04?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 38050952*t**5 - t**3 + 9*t**2 + 8637975*t.\nAnswer: 2283057120*t**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = d. Let k(n) = 2*n**2 - 2*n - 1. Give -6*c(t) - 3*k(t).\nAnswer: -6*t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*v**4 - 99*v**3 - 32*v**2 wrt v?\nAnswer: -48*v - 594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -171 - -174. Let h = -40 - -46. Calculate the smallest common multiple of v and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -5*(1\/5 - 1). Suppose 40 - 24 = 8*o. Let g be -2 - (o - a)\/(-1). Do -4 and g have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5688*-1166.\nAnswer: -6632208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x, 1 k, and 1 t when three letters picked without replacement from cskexxtsexktkk.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:34 PM and 9:10 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*b**2 - 12*b**2 + 2*b**2 + b**2.\nAnswer: -11*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 1287 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10 + -11 + -5 + 9 - (-24 + -7 + 26).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 360\/160*(-4)\/(-6).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -19, -80, -201, -394, -671, -1044, -1525, -2126?\nAnswer: -2859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 12 and 2626662?\nAnswer: 5253324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1.4 - -1.22. Let h = 1.18 + b. Sort h, -5, 0.3.\nAnswer: -5, 0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 5*o**3 - 6*o**2 + 6*o. Let t(j) = 9*j**3 - 11*j**2 + 11*j. Let p = -511 - -348. Let v = p + 169. Calculate v*t(l) - 11*r(l).\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 42399710 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 19 + -11. Suppose 0*x = -4*g + 3*x + 32, -o = -g - 4*x. Suppose 0 - 7*c**4 - 2*c**2 + g*c**2 - 2*c**3 + 5*c - 3*c**5 + 1 = 0. What is c?\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7494.\nAnswer: 2, 3, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -6 + 6. Suppose y = -5*o - 0*o - 5. What are the prime factors of (o - -13)\/(1 + 1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1.08 + -0.72. Are u and 2\/5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1303759220 + 1303759211 + 1303759219 - 3911277650 + b**3.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 820346114 a multiple of 5180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1 - -15. Let k = b + -16. Solve -j + 3*j - 6 = k for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 10 and 129\/14 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 243202002 - 1211?\nAnswer: 243200241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 27341 and 440876?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*i + 10 + 20 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yhhyyymmhmhmmmmymmm. What is prob of sequence hm?\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10*(-6)\/(-3)*5*(-10)\/125.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1152 is divided by 105.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -70 + ((2 - -3 - 8) + -8 - -12)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -17 - -95. Let r = q - 71. Solve r*d - 3*d = 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -10*w**2. Let b(r) = 42*r**2 + 4*r. Let c(z) = -209*z**2 - 19*z. Let g(l) = 19*b(l) + 4*c(l). What is v(g(o))?\nAnswer: -14440*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = w**3 + 2*w**2 - 4*w - 1. Suppose 18 = -8*g + 2*g. Let o be h(g). Is 12\/5 > o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -202332231323032 + 0?\nAnswer: -202332231323032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -291553, -291578, -291619, -291676, -291749, -291838?\n\"Answer: -8*u**2 - u - 291544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:29 PM and 11:52 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000759552 rounded to 7 dps?\nAnswer: 0.000076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -723850.4 to the nearest one thousand.\nAnswer: -724000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 56 divide 1512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jqnx when four letters picked without replacement from {n: 1, w: 1, z: 2, q: 2, x: 2, j: 1}.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 8260 and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express -51*c**3 + 10*c**2 - 11*c**2 + 51*c**3 - 2 + 48*c - 26*c - 5*c**4 in the form t*c**2 + x*c + j + r*c**4 + d*c**3 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 346801 divided by -17.\nAnswer: -346801\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -2*r - 5. Let a be f(-5). Let k be (-11)\/(3 + 35\/(-10)). Let o(v) = k*v - v**2 + 20*v + 22*v - 2 - 60*v. Calculate o(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8531.\nAnswer: 19, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-13 + 5 - 17)*(-d**3 + 0*d**3 + 2*d**3) + (14 - 10 + 6)*(-d**2 - 143*d**3 + 72*d**3 + 55*d**3) to a*d + x + b*d**3 + n*d**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = 2476*j**2 + 6*j. Let o(h) = -12377*h**2 - 28*h. What is 14*i(m) + 3*o(m)?\nAnswer: -2467*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*m**5 + 3*m - 2*m - 4*m**5)*(4 + 1 - 2 + 41 - 10 + 18 + (-3 + 5 - 4)*(-4 + 3 + 0)).\nAnswer: -54*m**5 + 54*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -295*j**2*o*x - 24*j**2*o - 25*j*o*x + 5*j*x + 2*j - 2*o*x + 6*x wrt j.\nAnswer: -590*o*x - 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 111756 and 3058.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -830*h**5 + 100*h**4*r - 2*h*r - 563111*h + 1 wrt h.\nAnswer: -16600*h**3 + 1200*h**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -3  (b) -1\/522  (c) 0  (d) 4  (e) 13  (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -2044 and 0.01?\nAnswer: 2044.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) be the first derivative of -i**2\/2 + 2. Is 5 a factor of r(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 701.873 centimeters in millimeters?\nAnswer: 7018.73","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v - 36 = -5*v. Let y = -9 + v. Calculate the least common multiple of 8 and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -42142 * 0.53.\nAnswer: -22335.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 5 - -3. Suppose -2*v = 1 - 9, -5*y + 3*v = -x. Suppose -y*a + 38 = -2*a. List the prime factors of a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 312\/6 + (1 - 5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -254 + 229. Suppose 0 = 5*x - 3*z - 0*z + 184, -5*z - 48 = x. Let h = t - x. Calculate the greatest common factor of h and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 17611?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -97, -90, -83, -76, -69, -62?\n\"Answer: 7*w - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put together -126.2 and -5116104.\nAnswer: -5116230.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-6)\/5)\/((-1)\/(-10)). Let y = v - -18. What is the lowest common multiple of y and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10511 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -h**3 + 7*h**2 - 2*h - 3. Let c be n(6). Suppose -4*a + 4 - c = -5*y, -11 = y + 4*a. Let l = 25 + -27. Which is bigger: l or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vupuvppvccvcccvvupv. What is prob of sequence vc?\nAnswer: 35\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 - (-30 + -5) - (-4 + 1 + 2)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 61756241 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 246 and 410.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -98.59 - 832.41. Which is the closest to 1?  (a) -1  (b) 0  (c) t  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6442.8697 rounded to the nearest 10?\nAnswer: -6440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-32)\/10*5\/(-2). Suppose -9 - 18 = 3*y. Let m = y + 14. Solve m*i + 4*k = -z, 3*k = -i + 4*i + 21 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*n + 13*n + 2*w - 1783 = 0, -3*w + 1182 = 2*n. What is the highest common factor of n and 3383?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*z = -22*z + 65 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 137 divided by 165\nAnswer: 137\/165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z = 9*c - 4*c - 12, -5*c = -4*z - 6. Suppose -5*u - 11*u = 192. Put u, c, -4, 3 in increasing order.\nAnswer: u, -4, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2\/15, 0.1, 7, 0.3, 70\/1161?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.6 + -0.1. Let w = -2.6 + -1.4. Which is the second biggest value?  (a) w  (b) 4  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 35 - 33. Suppose w*i - 195 = 369. Suppose i = 8*z - 270. What are the prime factors of z?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -g**3 + g**2 - 3*g. Let s(i) be the second derivative of i**5\/20 - i**4\/6 + 2*i**3\/3 + i. Let p be 21\/6 - (72\/16 + -4). What is p*s(u) + 4*l(u)?\nAnswer: -u**3 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.0611 and -24.\nAnswer: -23.9389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 427 and 87364627.\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 3 + (-2787)\/(6 - 3). Let n = 2818\/3 + u. Factor -20*a**3 - 74\/3*a**2 - 6*a**4 - n*a - 8\/3.\nAnswer: -2*(a + 1)**2*(3*a + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5\/9, 1\/4, 179, -5, 2, 0.001 in increasing order.\nAnswer: -5, 0.001, 1\/4, 5\/9, 2, 179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.4, 15, 4, 66 in decreasing order.\nAnswer: 66, 15, 4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 30\/4 + (-99)\/(-27). Which is greater: q or 10?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19 = -4*d + 3*d + 5*f, d + 5*f = 11. Let h be 6988\/(-8) - 2\/d. Let w = 4 - h. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) be the third derivative of -u**8\/6720 + u**5\/20 - 2*u**2. Let s(d) be the third derivative of t(d). Let r(f) = -f. What is r(s(p))?\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 149, 106, 35, -64?\nAnswer: -191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -13, 1\/4, 5, -33799?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 20\/(-1) - (105 + -110)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17 = -r + 4*b, 4*b = -6*r + 10*r + 8 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) be the first derivative of 2*j**4 - 2*j**3 - 3*j**2 + 5*j - 1. Let o(p) = -p**3 + p**2 + p - 1. Give i(m) + 6*o(m).\nAnswer: 2*m**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -701, -6 in descending order.\nAnswer: 1, -6, -701","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 85*y - 89*y + 24. Let i = -12\/5 + 69\/35. Which is the nearest to y?  (a) 1  (b) i  (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a**5 + 4*a**4 - 10*a**2 - a + 6 = 0. What is a?\nAnswer: -3, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 344910651.\nAnswer: 3, 114970217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.23 + 6.33. Let j = 6 - r. Which is the closest to j?  (a) -2  (b) 1\/10  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 15\/6 - 3\/(-2). What is the third derivative of 15*y**3 - 24*y - y**d - 2*y**4 + y**2 - 22*y**3 + 6*y**3 wrt y?\nAnswer: -72*y - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-28)\/(-21))\/((-4)\/(-6)). Find the second derivative of 2*i**2 - 3*i**2 + 6*i - 5*i**u + i**2 wrt i.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -5799190 or -5799196?\nAnswer: -5799190","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:31 AM and 6:13 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = 5823*p + 1217026. Determine h(-209).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -3152 divided by 2\nAnswer: -1576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 16036*w + 14493*w + 2334 - 29357*w wrt w.\nAnswer: 1172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -231667 * 0.2.\nAnswer: -46333.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 5016.242 centuries?\nAnswer: 6019490.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*m - 4*m + m as c*m + p and give c.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h + 0 = 6. Let y(p) = 4*p + 70. Calculate the remainder when y(-17) is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w = t - 0*t - 1, -2*w = t + 8. Let i(j) = -17*j - 8. Does 6 divide i(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 14\/(5\/((-600)\/(-280)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-12)\/10*(-18)\/(-81)*-30\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -110*c + 13*c - 3*c**2 + 97*c.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = v**3 + 8*v**2 + 14*v - 4. Let r be u(-6). Let k be r\/12*3\/(-12). Let j = -7 - -5. Which is the closest to j?  (a) 1  (b) -4  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k and 1 w when two letters picked without replacement from {o: 1, f: 1, k: 2, w: 3}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -21 - -24. Solve -v*s - f + 11 = -3, 0 = -5*s + 3*f + 28 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2022 - 0?\nAnswer: 2022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = 19*a**3 + 4*a**2 + 17*a - 115. What are the prime factors of l(5)?\nAnswer: 3, 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-6))**(-40)\/(((f*f\/(f\/(f\/(f\/(f*f**(5\/2)*f*f))))*f)\/f)\/(f*f\/(f\/(f*f**(-1\/5)*f))*f)) assuming f is positive.\nAnswer: f**(2373\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c + 4 = -5. Let x be c\/(-2)*8\/(-12). Let r = 0 - x. Which is smaller: r or -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12.1 minus 828.1097?\nAnswer: -816.0097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 22454 and 206.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = -4*d - 14. Let a = 9 + d. Let i = -6 - -13. Solve b = -r - 3, -b + 19 - i = -a*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -l**2 + 3*l - 3. Let z(i) = -i + 15. Let x be z(18). Let a be -3 - ((-8)\/1 - x). Calculate g(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000599338881 to 5 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 30*b**2 + 277*b + 83*b**2 - 420*b + 255*b wrt b?\nAnswer: 226","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 192762.52 times 0.3?\nAnswer: 57828.756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 18*o**2 + 56*o - 1772. Let z(k) = -6*k**2 - 18*k + 591. Let s(c) = 2*w(c) + 7*z(c). What is the derivative of s(y) wrt y?\nAnswer: -12*y - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(209) + ((sqrt(209)*-2 + sqrt(209))*6 - sqrt(209)) + sqrt(209))\/(sqrt(275) - (sqrt(275) - -2*sqrt(275))).\nAnswer: sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 43853 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 77974, 156045, 234192, 312415, 390714, 469089, 547540?\n\"Answer: 38*g**2 + 77957*g - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -4344211400 + -10?\nAnswer: -4344211410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) be the third derivative of 106*c**7\/105 + 53*c**5\/60 + 284*c**2. Find the third derivative of a(v) wrt v.\nAnswer: 5088*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 341\/58571?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -38 + 191\/5. Let j(b) = -17*b + 5. Let o be j(-1). Let y be -1 + 2\/(-6) - (-11)\/o. What is the closest to 0.1 in y, -5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 926667?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -2*y + 38. Calculate q(25).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.011, 231, -5, 4, 0.06 in ascending order.\nAnswer: -5, 0.011, 0.06, 4, 231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 2262\/(-319) + 7 - ((-23)\/11 + 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 17\/34*(1 - (-71)\/(-4)). Is -9 <= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = 5*u - 4. Let v(z) = -2*z + 59. Let x(q) = 15*q - 452. Let m(h) = 46*v(h) + 6*x(h). Give -10*m(r) - 6*n(r).\nAnswer: -10*r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -4, 0, 5, -46?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 20 = 13*y. Let r(t) = 6*t + 2. Calculate r(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = 2*q - 4. Let m(t) = -2*t**2 + 69*t + 211. Let y be m(37). Let z(j) = 9 - 7 + 9*j - 19. Give y*o(i) - 6*z(i).\nAnswer: -2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3 + 9*i)*(i**2 + 4*i**2 - 4*i**2)*(-1 - i + 1) - 3 + i**4 + 3 + (5*i**2 + 0*i**2 - 3*i**2)*(3*i**2 - 2*i**2 + 0*i**2).\nAnswer: -6*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xcxvcvvxxvcvvxc. Give prob of sequence vcvx.\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 25301 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1856.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (34\/153)\/(((-4)\/(-2))\/(-2))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 467568 and 26775?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 18\/5 of a millennium?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1 = -t + 2 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = 4*p + 2*a + 2*a, 0 = p - 5*a - 23. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ep when two letters picked without replacement from epmtnzp.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) be the second derivative of 0*o**5 + 0*o**6 - 2\/21*o**7 + 0*o**2 + 1\/6*o**3 + 0*o**4 + 0 - 2*o. What is the second derivative of g(z) wrt z?\nAnswer: -80*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2201807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - c - 11 = 5*o, -2*c - 6 = 0. Is 703 - (o\/(-10))\/((-6)\/(-30)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 4961215055 to the nearest integer?\nAnswer: 1706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 5*t**2 + 56*t + 6. Let r(p) = p**2 + 11*p + 1. Let d(u) = 2*m(u) - 11*r(u). Let z be d(-9). Let w = z + -2. Is 1\/4 >= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9595031 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1  (b) 1  (c) -3\/4  (d) -2  (e) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) be the first derivative of l**5\/15 - 14*l**4\/3 - 58*l**3\/9 + 28*l**2\/3 + 19*l - 1366. Factor m(h).\nAnswer: (h - 57)*(h - 1)*(h + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + (1 + 10 - 18) + 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mhmh when four letters picked without replacement from sshshhmsmmshh?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.4  (b) -216  (c) -11  (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 21177486793 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 107 and 535.\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -224*s + 18 = -227*s for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -3*v**2 - 54*v - 145. Calculate f(-15).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 27379\/22 - (-21)\/(-14).\nAnswer: 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 50 = 3*m - 8*m. Let g = 14 + m. What are the prime factors of -1 - (g - 3 - 30)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5750 divided by 230.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1 - -3. Calculate the smallest common multiple of f and 7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7 - (-14 - 5)) + (10 - 38)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -0.3*-2.3\nAnswer: 0.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:16 AM and 4:57 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) be the third derivative of d**4\/12 + 6003*d**2. Let q(r) = -2096*r - 2. What is q(x(n))?\nAnswer: -4192*n - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6103, -25043, -56841, -101497, -159011, -229383?\nAnswer: -312613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-18)\/(-54) + (-47)\/(-3). Let w(b) = -2*b + 3. Let p(u) = 13*u - 19. Let z(q) = -27*q + 39. Let j(r) = -7*p(r) - 3*z(r). Determine d*w(c) - 3*j(c).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 9 and 8067.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 116821 and 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*v = 2*n + 138, 1166*v + 5*n = 1161*v - 120 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 5368289 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:32 PM and 4:27 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -26 - 2*p**3 - 32 + 19 - 3*p.\nAnswer: -2*p**3 - 3*p - 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*g**3 - 302*g**5 + 304*g**5 + 50*g**2 + 46*g**4 - 4*g**3 - 114*g**3 = 0. What is g?\nAnswer: -25, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -18*l - 4 + 7*l + 8*l to h*l + r and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 86433, 172773, 259113, 345453, 431793, 518133?\nAnswer: 604473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 792*b - 801*b - 27. Let n(u) be the first derivative of 1 - 3*u + 2\/3*u**3 + 3\/2*u**2. Give n(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 111 (base 2) to base 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-10 + 46 + 2 + (0 + 2 - 4)*(-3 - 4 + 5))*(-s**3 + s**2 - s**2) + 4*s - s**3 - 4*s to the form q*s**2 + p + a*s + l*s**3 and give l.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.036 and -0.05?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 16038750 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -359, -17, -0.2, -0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -39 - (-3)\/2*7009\/258.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -26 - (1 + (16 + -2 - (20 - -9 - 20))).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when ((-40)\/(-25)*22)\/((-2)\/(-105)) is divided by 50?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 35 + -17. Suppose -a*d = -21*d. Solve d*q = 2*q + 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 751203 and 2003208?\nAnswer: 6009624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -20\/3 - -449\/66. Let q(w) be the first derivative of -2\/55*w**5 + n*w**4 + 1\/11*w**2 - 2\/11*w**3 - 2 + 0*w. Factor q(u).\nAnswer: -2*u*(u - 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*a**2 + 24*a**2 + 93*a**2.\nAnswer: 125*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 15830, 15839, 15866, 15923, 16022, 16175, 16394?\nAnswer: 16691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-1 + 1 + 2)*(-2 + 1 - 1) + 0 + 1 + 9)*(235*u**3 + 114*u**3 - 514*u**3).\nAnswer: -990*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put together -9.333831 and 14.052.\nAnswer: 4.718169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2389292 and 177926?\nAnswer: 16725044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 11 + 20202?\nAnswer: 20213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -49 - (-5 + 10) - (-7 + (5 + -2 - 6))\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2\/11 - (-105)\/(-33). Let b be a\/4 - (-60)\/16. Let p(m) = -4*m - 3. Calculate p(b).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -31 + 1001?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 6492 + -6492. Is u not equal to 1306?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -8311, 0, -4, -8 in decreasing order.\nAnswer: 0, -4, -8, -8311","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*f - 5*y + 196 = 12*f, -4*f = 4*y - 196. What is the greatest common factor of f and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1 - -4. Suppose -n*a - 6 = -6*a. Suppose -3*f**5 + 4*f**4 - 3*f**a + 3*f**4 - 5*f**3 + 8*f**2 - 4*f**2 = 0. Calculate f.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((16 + -1)\/1)\/(351\/234)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence iv when two letters picked without replacement from {w: 2, n: 1, l: 1, v: 1, i: 1, u: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 639 a factor of 1425023037?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.01 and 3.2.\nAnswer: 0.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 100111101000001 (base 3) to base 15.\nAnswer: 69a244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 9 + ((-191760)\/19180 - -1). Suppose g + 3 = 5*u + 7, 2*g = 2*u. Is u > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:40 AM and 9:52 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) be the second derivative of -i**4\/12 - 8*i**3\/3 - 9*i**2 - 5*i. What is the tens digit of p(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 115 minutes before 12:29 AM?\nAnswer: 10:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 8781?  (a) 1\/12  (b) 6  (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*t - 5*t + 6*t)*(-5 - 2 + 4 + 1 - 2 + 2 + 4 - 1 - 4 + (5 - 1 - 2)*(-5 + 2 + 1) + 0 + 4 - 2 + 20 - 1 - 6).\nAnswer: -24*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 1960002 = -0*b. Let f be -3*4\/6 + b. Suppose -4*j - 3*u = -4*u - f, -j + 490000 = u. What is j rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3101.154 decades to years.\nAnswer: 31011.54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -7285 + 12361. Does 27 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 92\/(-10) + (-54)\/30. Let x(f) = 26*f + 294. What is the remainder when 142 is divided by x(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -41*j + 80*j - 3*j - 37*j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2025275?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3 (base 12) to base 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-8)\/(-10))\/((-16)\/(-120))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(4\/7)*(j*j\/j**(1\/6))\/j*j**(-3)\/(j*j*j*j**(6\/11)*j*j*j))**(-33) assuming j is positive.\nAnswer: j**(3761\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1375 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.1 + 5.1. Let k be (-34)\/(-56) + 9\/(-12). Which is the fourth smallest value?  (a) 52  (b) p  (c) -1\/2  (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 33070896?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 1.06 * -32433\nAnswer: -34378.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -12?  (a) -9\/2  (b) -5\/6  (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -326 - -334. Solve 2*i = -4*r - o, 4 = i - 2*i + r for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.484 - -0.483999522. Round v to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = 19*q**3 + 6*q**2 - 4*q - 7. Let p(j) = -10*j**3 - 3*j**2 + 2*j + 4. Calculate -4*o(c) - 7*p(c).\nAnswer: -6*c**3 - 3*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -5, 2\/17, -6, 1.1, 287, -4 in increasing order.\nAnswer: -6, -5, -4, -3, 2\/17, 1.1, 287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - d - 1)*(d**2 + 0 + 0)*(-1322 + 147 - 1186).\nAnswer: 2361*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z - 1 = -5. Let s = 17 - 12. Put s, z, -4 in decreasing order.\nAnswer: s, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*m**3 + 78090*m**2 - 314503605*m + 74375896140.\nAnswer: -5*(m - 7683)**2*(m - 252)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -w**3 - 2184*w**2 - 451150*w - 13672. Determine d(-1953).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 400 = 23*m. What is the smallest common multiple of 104 and m?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - 15 - 24 = -5*u, 0 = -3*n + 4*u + 22. Let l(k) = 2*k - 11. Let z be l(n). Let f = z - -208. What are the prime factors of f?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000019108 to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide 60893 by 7497.\nAnswer: 8699\/1071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 291 minutes after 11:35 AM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 178957990?\nAnswer: 2, 5, 17895799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 270\/81*(-12)\/(-8). Sort u, -18, 4, -3 in decreasing order.\nAnswer: u, 4, -3, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -16048, -64011, -143662, -254767, -397092, -570403?\n\"Answer: 39*u**3 - 16078*u**2 - 2*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is seventeen halves of a week in minutes?\nAnswer: 85680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) be the second derivative of -h**4\/6 - h**3\/3 - h**2\/2 + 2*h. Let m be x(3). Round m to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2289585 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 4967 (base 11) to base 10\nAnswer: 6486","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 - (6 - (8 + 9 + -2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 2*k**2 - 3*k. Let y be x(2). Let h(o) = -o + 1 + 30*o**3 + 2*o + o**y - 118*o**3. What is the units digit of h(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 186 + -210.7. Let r = z - -62.7. Which is bigger: r or -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2 - 2) + 6 + 0 + 5?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 688*l + 23*l = -1102*l - 48951 for l.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 1, w: 2}. Give prob of picking 1 p and 1 w.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert -8 (base 10) to base 11.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = l**3 - 18*l**2 - 15*l - 67. Let k be j(19). Let x be 4\/((-108)\/33) - (-2)\/k. What is the closest to -1\/4 in x, 2, 5, 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -4577 - -4582. Which is the biggest value?  (a) 0.05  (b) -0.4  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -c**3 + 8*c**2 + 4*c - 41. Let f be g(-7). Suppose -86 + f = 10*w. What are the prime factors of w?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2\/(1 - (-2)\/(-4)). Suppose -3*w + 9 = u, o*w - 23 = -5*u - 0*w. Let x(t) = 2*t**3 + t**2 - 2*t - 4. Is x(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -4, -1, 9 in ascending order.\nAnswer: -4, -1, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -10 + 29\/3. Let j = 4.3 - -0.7. Which is the second smallest value?  (a) j  (b) -4  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 - 5 - 4)*(-51*a - 3*a**5 + a**5 + 4*a**5).\nAnswer: -26*a**5 + 663*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 7\/(3 - (-8)\/(-4)). Suppose z - a - 3 = j, -z = 5*a + 14. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -611*l + 5118 + 992 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*c**6 + 293*c**5 + c**3 - 4*c**2 - 51*c + 17 wrt c?\nAnswer: 240*c**3 + 17580*c**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 56902*j**2 - 66974*j**2 - 138795*j**2.\nAnswer: -148867*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 740*r**3 + 3*r - 368*r**3 - 373*r**3 - 4 - 4*r**2. What is the remainder when 23 is divided by k(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + d = 23 + 26, 4*d + 64 = -4*a. Let s = -7 - a. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 53 - 5?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1059457*j**5 - 260*j**2 + 28*j + 48 wrt j?\nAnswer: -63567420*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -561 - -560.6292. Let j = 0.403 + p. What is j rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = p**2 - 6*p - 8. Let k be a(8). Suppose 3*y + 85 = k*y. Calculate the remainder when (-2)\/((-8)\/(-66))*-2 is divided by y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = p**3 - 6*p**2 - 2*p + 21. Let k(m) = -3*m - 3. Let c(o) = -2*k(o) - s(o). Give c(6).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*f + 26964 = 96*f - 4*f. Solve -133 = 17*p - f for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1688.\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 15307?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -832, -827, -820, -811, -800, -787, -772?\nAnswer: -755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -4*h + 11. Let j(q) be the third derivative of -q**4\/8 + 5*q**3\/3 + 1829*q**2. Determine -5*j(y) + 4*x(y).\nAnswer: -y - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 170 smaller than 33\/1033?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) be the third derivative of m**5\/30 + 693*m**2. Let y(t) = -730*t. Calculate y(p(x)).\nAnswer: -1460*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -20231343212 + -1?\nAnswer: -20231343213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 22 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.6 - 0.8. Which is smaller: 1\/5 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 424\/1833 - 1\/1833. What is the nearest to 0.2 in -0.2, -0.07, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -14 + 14.2. Let a = 4.2 - -0.8. Let o be ((-1)\/10)\/(2\/(-5)). What is the nearest to g in o, 3, a?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 1697?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1157 = 7*o + 103. Let g be (1 - (-41)\/(-5))*o\/(-27). Let m be (-4)\/(-12) + (3 - g\/(-9)). Which is bigger: -2\/3 or m?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -990 + 1974 - 24*d - 986 as z + n*d and give n.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-33)\/(-99))\/((-3)\/9).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 66536477 to the nearest integer?\nAnswer: 8157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -g**2 - g. Let s be u(-1). Let j be ((4 - 4)\/(-1))\/2. Let f be -3 - (-4)\/(j + 1). Sort s, f, -4.\nAnswer: -4, s, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3486058277*n - 67*n**2 - 2 - 3486058277*n.\nAnswer: -67*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) be the third derivative of -q**7\/30 - 191*q**6\/120 - 85*q**5\/4 - q**3\/6 - 2*q**2 + 1061*q + 3. What is the third derivative of c(n) wrt n?\nAnswer: -168*n - 1146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 7620 and 34290?\nAnswer: 68580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 8533178?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-644)\/(-6))\/23*2\/8.\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -c - 13. Let q be z(-12). Let k be q*(-39)\/15*5. Suppose 3*u - 17 = k. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -44 (base 13) in base 9?\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 20131073.\nAnswer: 1889, 10657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2288)\/3445*-15 + -2 + -1*8.\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) be the third derivative of 1\/56*x**4 + 0 - 2\/7*x**3 + 0*x + 1\/35*x**5 - 8*x**2 - 1\/280*x**6. Factor a(g).\nAnswer: -3*(g - 4)*(g - 1)*(g + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 - 3\/2*q**3 + 0*q**4 + 0*q**2 + 0*q + 3\/2*q**5.\nAnswer: 3*q**3*(q - 1)*(q + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1f3 (base 16) to base 12.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/7?  (a) 1.8  (b) -1  (c) 3  (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -c - 10. Let v be a(-15). Suppose v*b = -b. Suppose b = w - 19 + 4. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 29128*w - 14563*w - 14586*w.\nAnswer: -21*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -52 - -55. Factor 103*o + 76*o**3 + 60*o**2 - 112*o**3 + 4*o**4 - k*o.\nAnswer: 4*o*(o - 5)**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2241?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27 - 42 = -3*l. Suppose s - l*f - 101 = 0, -4*s + 118 = -5*f - 271. Is s a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 0 + -1123230?\nAnswer: -1123230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 22575025\/(-75) - (-1)\/3. Round i to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9\/6*((-10)\/3)\/(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 15262 + -49335?\nAnswer: -34073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 15238997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/(-6))\/(4\/(-135))*5640\/2115.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (2*sqrt(77)*3)\/(sqrt(132)\/sqrt(432)).\nAnswer: 5 + 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2, 1\/3, 2, 10, -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2, 4, 456?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19812*h**2 - 2*h - 19878*h**2 + 3*h + 2*h - 26.\nAnswer: -66*h**2 + 3*h - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -f + 5. Suppose -8*t = -6*t - 4. Suppose 3*q - 2*u - 10 = 0, -2*q = -t*u - 2 - 2. Let b be r(q). What is the biggest value in -6, 0, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 12*m**4 + 17*m**4 - 19*m**2 + 5*m**5 - 15*m**4 - 15*m**2 wrt m.\nAnswer: 300*m**2 + 336*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*v - v = 15. Suppose -25*m + 28*m - 21 = 0. Solve -3*k - 4*b + 26 = 0, -v - m = -2*b for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = p + 2*p + 2*b - 10, 0 = -3*p - 4*b + 14 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 59 - 87. Let d be (-1 - -1) + 0 - (25 + f). Solve 3*v - 2 = 4*y, -5*y = d*v + 5 + 11 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bblqq. What is prob of sequence qbql?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 298060 and 16079?\nAnswer: 684643820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*n**2 + 5660*n - 311216.\nAnswer: 4*(n - 53)*(n + 1468)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -31 - -33. Let q(h) = h**3 + 2*h**2 - h - 1. Let x(u) = -223*u**3 - 11*u**2 + 2. Let m(v) = b*q(v) + x(v). Find the third derivative of m(n) wrt n.\nAnswer: -1326","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -4, -3, -5, 2.\nAnswer: -5, -4, -3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y = -5*r - 34, -2*r + 3*y = 5 + 12. Let a = -1 - r. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -w**2 + 4*w + 6. Let g(a) = -2*a**2 + 3*a + 6. Let d(b) = -2*g(b) + 3*i(b). Determine d(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1)\/(-3))\/((-70)\/180)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 24375966?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 270 + -276. Let m be (-984)\/(-40) + p\/(-15). What is the greatest common divisor of m and 775?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -49\/25 and ((-39)\/(-78))\/((-85)\/(-108))?\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 > 1\/222?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rrrrrrrrrr. Give prob of sequence rr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -u**2 + 2. Let a(y) = 2*y. Let v be 3\/(-9) + (-13)\/(-3). Suppose 4*m - l = -3*l + v, l - 4 = 0. Let t be a(m). Give o(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 40, 0.056, -11 in increasing order.\nAnswer: -11, 0.056, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o - 18608 = 5*u + 43979, -4*o - 5*u = -250373. Suppose 13*x - 25*x = -o. Suppose 5*r + 11*r = x. What is the smallest common multiple of 8 and r?\nAnswer: 1304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13435 + 9035 = -1403*g - 1381 for g.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 10279 + -10179. Solve 0 = -f*i + 38*i - 248 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -18 equal to 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 divided by 98?\nAnswer: 5\/98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 96*k**5*q + 2*k**3*q**3 - 15*k**2*q + 2*k*q - 6*q**3 wrt k.\nAnswer: 5760*k**2*q + 12*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 133827 and 93.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2003\/2 - -1001. What is the fourth smallest value in -947, s, 5, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = u**3 - 37*u**2 - 2407*u + 67670. What is h(25)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34 - 22 = -14*k. Suppose -3*t - k*d + 140 = 0, 0 = 2*t - 2*d - 75 - 9. Calculate the remainder when t is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -51\/72746449 and 77\/20512?\nAnswer: 2327886368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 179479 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2 - 5) + (0 - -1) - (63 - 28 - 0).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 334 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 45460147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -1 + 1 + 1 + 1 - 3*q. Let s(i) = i**3 + 10*i**2 + 8*i - 5. Let u be s(-9). Calculate v(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 44121 and 1698.\nAnswer: 24972486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lxyxxyxcxyyyxylcyxx. Give prob of picking 1 l, 1 x, and 2 y.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18135 is divided by 19.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o, 1 w, and 2 y when four letters picked without replacement from {t: 2, o: 1, y: 3, v: 9, w: 3, k: 1}.\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 99 - 46. Suppose 2*f - 38 - 34 = 4*v, -3*v - 124 = -4*f. What is the remainder when d is divided by f?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-2594)\/(-4) - (-1)\/(-2). Suppose -3*l = -2*p - 29 + 75, 3*l + 61 = 5*p. Is 9 a factor of (-3 - -2)\/(l\/m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**8)**(-41)\/(((h\/(h**(-2\/3)\/h))\/h*h)\/h*h**(-8\/5)))**(-45) assuming h is positive.\nAnswer: h**14763","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 1135017 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 2a7a97 - 3?\nAnswer: 2a7a94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*m - 61 = 254. What is the remainder when 225 is divided by m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 151.103985 - 151.1. Round r to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 25.163598 - 45.16359. Let u = 20 + n. What is u rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -91\/354362 and -37\/178?\nAnswer: 31538218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 161659.44 months?\nAnswer: 134.7162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1315645393 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 2432 + 3d28?\nAnswer: 615a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6\/15 - 364\/210.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x**22*x)\/(x\/(x\/(x*x*x\/x**(1\/12)))))**50)**24 assuming x is positive.\nAnswer: x**24100","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1732 - 1044. Let n = r - 692. Which is the closest to -2?  (a) 4  (b) -0.3  (c) n  (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*l**3 - 221*l**2 - 213*l**2 + 4774764 - 4774764 + 434*l**2 - 3*l**3.\nAnswer: -8*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from {v: 6, q: 7, c: 2}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1.81 - 0.19. Suppose -2*n - 8 = 2*g, -2*g + 0*g + 12 = -2*n. Let b be 1\/(-1) - n\/10. What is the nearest to -4 in m, -1, b?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -16 * -281\nAnswer: 4496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 19642, 39644, 59646?\nAnswer: 79648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -41*0.14531.\nAnswer: -5.95771","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.5 - -330941527?\nAnswer: 330941529.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4.2 + 1.1. Let h = -5.7 + j. What is the second smallest value in -0.5, h, 3, 1\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(-6*((0 + sqrt(325) - sqrt(325)) + -5) - -5*(-1 + sqrt(325) + 0 + sqrt(325) - sqrt(325)))*-2)**2.\nAnswer: 20000*sqrt(13) + 140000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -472078.55 to the nearest one thousand.\nAnswer: -472000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + 6 - (-1 + -1) - 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:03 PM and 2:05 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 342134a (base 11) to base 5.\nAnswer: 3013134132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-196)\/(-441))\/((-3 - -7)\/72). Solve k*s = 15*s - 14 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1*-17*8\/8. Let b(g) = -g**3 - 11*g**2 + 15*g + 54. Is b(z) a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-38)\/(-76) - ((-35)\/(-2))\/(-5). Let f(i) = 48*i**2 + 2*i - 11. List the prime factors of f(h).\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -34887127*b**3*q**3 + 2*b**3*q**2 + 81*b**3 + b*q + 5*b - 2157*q**2 wrt q.\nAnswer: -209322762*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 35 - 231 = 28*n for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 76428 and 99.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Determine v so that 2*v**2 + 7180*v - 26881398 = 0.\nAnswer: -5877, 2287","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 12, 55, 192, 465, 916, 1587?\nAnswer: 2520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) be the second derivative of 5*t**6\/144 - t**5\/24 - 5*t**4\/12 - 5*t**3\/9 - t**2\/2 + 15*t. Let y(i) be the first derivative of m(i). Factor y(v).\nAnswer: 5*(v - 2)*(v + 1)*(5*v + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v - 3 = -2*v. Let r be ((-4)\/v)\/(16\/216). Calculate the highest common divisor of 9 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 88281531 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 10585160 (base 9) to base 15\nAnswer: 6b64dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = p**2 + 4*p + 1. Let k be n(-3). Let q be 4\/(-7) - k\/7. Let t = -208.4 - -208. Which is the biggest value?  (a) -4\/3  (b) q  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 2167*x - 12. Is q(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 29754*r + 2 - 29755*r - r**2 + 66*r**2 to the form n + z*r**2 + j*r and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -135 - -3?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 29954?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 71853?\nAnswer: 3, 43, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3387097 weeks in nanoseconds?\nAnswer: 204851626560000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*z - 3*z - z)*(-8*z + 2*z - 2*z)*(10 - 43 - 40).\nAnswer: -1168*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 10 - 2. Let r(a) = -5*a - a**2 - 29 + 19 + 13*a. Let z be r(x). Which is smaller: z or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 63 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -o - 4. Let h(v) = -5*v - 21. Determine -2*h(a) + 11*w(a).\nAnswer: -a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Determine s, given that -s**2 - 153*s + 310 = 0.\nAnswer: -155, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express 528*a + 695*a - 634*a + 982*a in the form d + w*a and give w.\nAnswer: 1571","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Let y = -13 + 4.8. Let l = 9 + y. Let f = l - 1. Sort 2, -1\/6, f in descending order.\nAnswer: 2, -1\/6, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -h**3 - 8*h**2 + 10*h - 2. Let l be w(-9). Let s = l - -2. Let r = s - -21\/2. Which is the nearest to r?  (a) 0.2  (b) -4  (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-7)\/(-28)*56\/(-21).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) be the third derivative of -l**4\/2 - 77*l**3\/6 - l**2 + 28. Calculate the remainder when y(-14) is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10 - (-10)\/(-4)*33\/((-660)\/16).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -5 + 1. Let x be (f\/10)\/(2\/(-20)). Let p(w) = 8*w**2 + 28*w - 21. Let o be p(1). Solve 3*r - x*z = r - 18, 4*r - z + o = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.127 + 50.873. Let s = f + -133. Let j = -81.999999 - s. Round j to seven dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 305962494.\nAnswer: 2, 3, 4447, 11467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -7\/3, 3\/8, -4, 2, -3\/2?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -27\/13  (b) -1\/4  (c) -223  (d) -4  (e) -2  (f) -3\/8  (g) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*t = -2 + 8 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5477.\nAnswer: 5477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/(-3*(-16)\/8)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -34 and -17359.\nAnswer: 590206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -4*y - 6. Let a(w) = 30*w**2 - 3*w + 3. Let d be a(1). Let p be 125\/(-35) + (1 - d\/21). What is v(p)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = 3*f**2 - 48*f + 232. Let m be x(5). Find the third derivative of 36 + 158*r**4 - 7*r**2 + 37 - m wrt r.\nAnswer: 3792*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 132 a factor of 1367006?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p + 2*l = -2*l + 25, 5*l = 4*p + 8. Solve -c - 12 = p*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 575303?\nAnswer: 575303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -4*g**2*v - 2*g**2 + 36*g*u*v - 11*g*u - 3*u*v - 66*u - 40*v wrt v?\nAnswer: -4*g**2 + 36*g*u - 3*u - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 240*s**2 + s - 73. What are the prime factors of j(12)?\nAnswer: 34499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -30, -3\/7, -88, -1\/8, 1\/4, -2.9?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence knxx when four letters picked without replacement from {k: 4, n: 2, x: 3}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 63906?\nAnswer: 2, 3, 10651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 244071?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v = 3*f - 14718, 288*f - 296*f + 36794 = 5*v. Is 9 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by 35.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 528 and 726.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 231483686 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-5)\/7 - (-4)\/(-14). What is the lowest common multiple of 14 and (6*c)\/3 - -12?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*h**2 - 4*h**2 + 5*h**2 + (h + 0 + 0)*(3*h - 2*h + 0*h) + 96*h**2 + 107*h**2 - 124*h**2)*(-4*h + 5*h + 0*h).\nAnswer: 86*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uuu when three letters picked without replacement from {u: 17, o: 3}?\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is -5\/2 less than -1\/3110?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 142711 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -49 + 79. Let z = 39 - k. Solve 13 = g - 4*m, 4*g - z = 3*g + 3*m for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 33822 to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2674 = -520*a - 9806 for a.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -7*m - 31. Suppose -4*l + 3*l = 3*y + 28, 13 = -3*y - 4*l. Is 25 a factor of k(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -68*u**2 - 17 + 18 + 87*u**2 to the form q*u**2 + n*u + m and give q.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -7*s**4 - 7*s**4 - 7*s**2 - 3*s**4 wrt s?\nAnswer: -408*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16047 is divided by 5416?\nAnswer: 5215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1168 + 168 = -289*b - 133 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -5.4 + 5. Let j = 1.43 + 0.92. Let f = -0.65 - j. Put a, 1, f in descending order.\nAnswer: 1, a, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 44\/16 + (-1)\/(-4). Let b(h) = 5*h**2 - h. Let s be b(1). Solve -2*g - j = 2*j - s, 10 = 5*g - z*j for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -280077 - 280076 + 840504 + 36*v**2 - 280351.\nAnswer: 36*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -118 in 3, 0.5, -1\/5, 2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1337760 is divided by 102898?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10\/8*(4 - 22 - (-2074)\/85).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*x - 15 - 20. Let a(l) = -1 - 2*l + 5*l - x*l. Give a(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 165 divide 6640?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-78)\/8 - (-1 - 1). Let a = v + 15\/2. Let o = -1380 - -1381. What is the nearest to o in a, -3, -0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -38339*a**2 + 935798.\nAnswer: -76678*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*m - 9*m - 208 = 0. What is the remainder when 32 is divided by m\/13 + (-2 - -32) - 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -6.8 or -15718?\nAnswer: -6.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2189*c - 5*v = -2185*c - 83656, 3*v = -5*c + 104583. What are the prime factors of c?\nAnswer: 3, 19, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 35992831 and 82269328.\nAnswer: 575885296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lxkkkxkncclckkn. What is prob of picking 1 x and 1 n?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 404 minutes after 4:16 PM?\nAnswer: 11:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 3720 (base 9) in base 6?\nAnswer: 20500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*t**2\/2 + 14667*t\/2 + 228780.\nAnswer: -3*(t - 4920)*(t + 31)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*g + 6*g + 336. Let f be (576\/g)\/(1\/(-7)). Suppose x - f = -2*x. Solve 3*w + w = -x for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -2*t**2 + 16*t - 19. Let m(o) = o**2 - 8*o + 9. Let p(l) = 4*l + 13. Let s be p(-5). Let u(q) = s*m(q) - 3*i(q). Calculate u(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (613 - 629 + 0*l**2 + 2*l**2)*(-77 + 14*l + 77)*(-1 - 1 + 0)*(-1 + 1 + l**2) + 0*l + 0*l - 3*l**5.\nAnswer: -59*l**5 + 448*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 12137640 at most 12137639?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 14.008 + -10.008. Which is the nearest to f?  (a) -1  (b) -2\/13  (c) -0.2  (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -532 - -12238\/23. Which is the third biggest value?  (a) 1  (b) g  (c) -20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 247 = -4*z - 3*g, -6*z - 300 = -z + 2*g. Let s = -85 - z. Let h = -14 - s. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*p + 6629 = 6599. Solve 28*c - 15 = 25*c, 0 = -p*z + 2*c - 4 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 28c113 (base 13) to base 4\nAnswer: 3303203313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 5 + -2. Solve 3*j - 1 = p*d - 13, -2*d + 4 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 26 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t = -2*d - 3, 5*t - d - 2*d = 22. Suppose t*n - 3*n + 2 = 0. Let j be -3*(0 + n) + 84. Round j to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n = -3*p - 4, -n + 5*p + 7 = 2*p. Solve -5*u = -4*t - 6, -4 + n = 5*t - 4*u for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1110011011000001100000 + 1?\nAnswer: 1110011011000001100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -191, -320, -675, -1370, -2519, -4236, -6635, -9830?\nAnswer: -13935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*y - 190 - 148 + 257 - 2*y + 6*y.\nAnswer: -2*y - 81","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 7*u + 16. What is the tens digit of x(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -64*m**4 + 5*m**2 - 13 wrt m.\nAnswer: -1536*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/o**(-3)*o**(-8)*o)\/(((o\/(o*o**(-9))*o)\/o)\/o**(8\/5)) assuming o is positive.\nAnswer: o**(-52\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vzzriii. Give prob of sequence vr.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.221 - -0.021. Let c = -1 - 0. Sort p, 0.4, c in decreasing order.\nAnswer: 0.4, p, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1192*k**3 + k + 4100*k**3 + 363*k**3.\nAnswer: 5655*k**3 + k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -4*y. Let i(d) = -12384*d**2. What is n(i(o))?\nAnswer: 49536*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (1 + -1 - 3)*1. What is the remainder when 23 is divided by -6*p\/((-3)\/(-2))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -60*w + 40. Determine k(2).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 217 is divided by (-24)\/156 + (-1341)\/(-13).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*i**2 - 6*i**2 - i**2)*(-4 - i**3 + 4) + (-2*i**4 + 4*i**3 - 4*i**3)*(-11 + 11 - 10*i).\nAnswer: 30*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = 8*j**3 + 2*j**2 - 4*j - 7. Let f(s) = -6 - 3*s**3 + 282*s**2 - 280*s**2 + 2*s**3 - 3*s + 8*s**3. Determine 6*c(b) - 7*f(b).\nAnswer: -b**3 - 2*b**2 - 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 (base 5) in base 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*z**3 - 470*z**2 + 920*z.\nAnswer: 5*z*(z - 92)*(z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Total of -1609859905 and 0.184.\nAnswer: -1609859904.816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*j + g + 3 = 0, -2*g + 49423 + 49421 - 98850 = -j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 466, 6, -4\/3, 2\/9?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1311269429?\nAnswer: 17903, 73243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -397?  (a) 8  (b) 5\/3  (c) 42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/170*(-2 + 49\/7)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -112082284.7 to the nearest one thousand.\nAnswer: -112082000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) be the third derivative of -11*n**7\/70 - n**5\/3 - 26*n**2. Find the third derivative of y(m) wrt m.\nAnswer: -792*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 11\/8 and (-5)\/(30\/(-16))*(-76)\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -2*t**3 + 2*t**2 + 2. Let a(u) = u**3 + 15*u**2 - 14*u + 34. Let p be a(-16). What is g(p)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*c + 3, -s + 4*c - 5*c = -37. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 12267\/22 + -556. Let z = 18 + -8. What is the common denominator of z\/96 - (-3)\/(-18) and n?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (42\/(-228)*(-1440)\/(-1260))\/(2\/(-1)).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 171070?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10 - 4*o - 10)*(2 - 25 - 14).\nAnswer: 148*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is seventy-four fifths of a kilogram in grams?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) be the second derivative of -2*r**3\/3 + 4*r. Let b(i) = 3*i. What is b(p(z))?\nAnswer: -12*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2000 and 1680?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 28.3 + -28.6. Let j = -26 - -27. Let i = 0.08 + 0.12. What is the second biggest value in j, u, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -226281 = 94*u - 193*u + 96*u. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1.547 + -1.447. Which is the closest to -2?  (a) 0.5  (b) -5\/4  (c) 1  (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 a factor of 1310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + -2 - (-74)\/37.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1102835.\nAnswer: 5, 367, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f = d + 3*d - 108, -2*d + 52 = -f. Suppose d*z + 183 = 28*z. Let q = -58 + z. Calculate the greatest common factor of 27 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -2038 and 1191?\nAnswer: -2427258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express -23 - 2*v + 5*v - 3*v - 3*v**2 + 4*v**2 + v in the form m*v**2 + n + j*v and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 285, 573, 861, 1149, 1437, 1725?\n\"Answer: 288*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(sqrt(57)\/(sqrt(3) - (sqrt(3)*-1 + sqrt(3))) + -2).\nAnswer: -10 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -96102 divided by -16017.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 756804000 rounded to the nearest 1000000?\nAnswer: 757000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*y - s + 127, -3*y + 3*s + 2*s + 139 = 0. Solve 45 = a + y for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-60)\/8*-5*(-78)\/(-325)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 266852?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 38943500 a multiple of 1097?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1403\/7 - 200. Let a = d - -1\/14. What is u in 0*u - a*u**2 + 0 = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 2*l**2 + 4*l + 7. Give b(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.067549 * 0.06.\nAnswer: 0.00405294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) be the third derivative of -r**6\/720 - r**5\/24 + r**4\/24 - r**2. Let h(s) be the second derivative of a(s). Calculate h(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) be the second derivative of 39*z**7\/7 + 4*z**3 + 96*z - 1. Find the second derivative of k(r) wrt r.\nAnswer: 4680*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4186122.\nAnswer: 2, 3, 697687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x = -4*v + 104 - 44, -4*x = -3*v + 24. Let i be 608\/v - 4\/6. Suppose 0*z + i = 5*z. What is the remainder when 19 is divided by z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -39.6 + -81.6. Let x = b - -133. What is x rounded to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -555691*d + 5*r + 28 = -555687*d, -19*r + 136 = 5*d for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 866 at least 79220?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (4743\/(-261) - -18)\/((-5)\/2)\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 541.7272cm?\nAnswer: 5.417272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -342*x - 14549 = 185*x - 2955 for x.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11 - 260\/25 - (4 - (-51)\/(-15)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-5 - (-31 - -26))*-2*(-2)\/(-8). Let j = -4.1 - -4.2. What is the closest to j in 3, k, -0.75, 2\/9?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = 4*d**2 + 3. Let z(o) = -o**2 + o - 2*o + o. Calculate -k(c) - 3*z(c).\nAnswer: -c**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -116*h - 304*h = -568 + 748 + 2340 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 1, 5, -1.6, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 5\/8 and 1\/(-4) - 43\/(-6).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) be the second derivative of -w**4\/12 - w**3 - 2*w**2 - 3*w. Let x be k(-4). Suppose 4*h - 12 = -4*g, 2*g = -h + 2 + x. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6 + (-6 - -1) - -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 87027752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 312, 274, -104, -816, -1856, -3218, -4896, -6884?\nAnswer: -9176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 3*v + 243*v**2 - 122*v**2 - 3*v - 123*v**2. Let c(u) be the first derivative of -u**3 - 1. Calculate o(c(h)).\nAnswer: -18*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*x - 8 + 47. Let m = 8 + x. Let g = m - 24. What is the smallest value in 1\/5, g, -0.4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 2*b + 33 + 28 - 94 + 34. What is h(6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 16770 and 273.\nAnswer: 117390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(6) + sqrt(48)\/sqrt(512))\/(sqrt(18)\/(sqrt(6) + 4*sqrt(6))).\nAnswer: 45*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 21356661 to the power of 1\/2, to the nearest integer?\nAnswer: 4621","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -13 - 375713\nAnswer: -375726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1467\/9758 + -32950222\/7625877. Let f = u + 2\/521. Let y = 1352 + -4103\/3. Find the common denominator of f and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11612519 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 33111.82 centuries?\nAnswer: 39734184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 - ((-10944)\/3200 + 6\/(-75)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 25.4 - 21. Let r = -4.4 + v. Let p = 1081\/5 - 217. Which is the closest to r?  (a) p  (b) 0.2  (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -170968*i**2 - 12. Let p(n) = 31*n**2. Determine r(p(v)).\nAnswer: -164300248*v**4 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 5715337 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -4305, -34439, -116223, -275481, -538037, -929715?\n\"Answer: -4304*m**3 - m**2 - 3*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 166410 is divided by 83198.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -2*l**2. Let j(r) be the first derivative of -1\/2*r**2 + 44*r + 63. Calculate j(v(s)).\nAnswer: 2*s**2 + 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 3053*t + 3007. What is m(-1)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3618*n*o*s**2 - 2*n*o*s - n*s**3 + 1123*o*s**3 wrt s?\nAnswer: -6*n + 6738*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1786 - -1781. Let t(s) = -20*s - 108. What is t(u)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.3  (b) 0.5  (c) -6.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 507 and 218426.\nAnswer: 8518614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) be the first derivative of 9*a**2\/2 - 242. Let i(p) = -4*p. What is 12*i(d) + 4*x(d)?\nAnswer: -12*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 94 times -35\nAnswer: -3290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 2*l**2. Let u(w) = 3*w**2 + 529*w + 2. Give u(j(h)).\nAnswer: 12*h**4 + 1058*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -50.514 - -19.514. Is -3.16 > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 292\/(-18) - (-4)\/18. Let c = -14 - f. Solve 0 = l - 4 + c for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**(-1)\/r**(-3)*(r*r**(-2\/7)\/r*r)**(-40)*((r\/((r*r*r**(-1))\/r*r))\/r*r*r**(4\/7)*r)**(-37) assuming r is positive.\nAnswer: r**(-593\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -564 - -558. Let b(r) = r + 1. Determine b(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6.74 times -60.3\nAnswer: 406.422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -p**2 + 1255*p + 3752. Determine t(-3).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 50548717*b*z**2 + 14884*b - 114*z + 5 wrt z.\nAnswer: 101097434*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -130*p**3 - p**2. Let y be k(-1). Let g(i) = 7*i**2 + 5*i + 5. Let r be g(6). Let j = r - y. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2230, -2013, -1796, -1579, -1362, -1145?\nAnswer: -928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -44 + 39. Suppose 33 = -21*v + 12. Put 3, v, 1\/5, j in increasing order.\nAnswer: j, v, 1\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -2*k**3 + 5*k**2 + 13*k - 35. Give n(4).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 160 - 160. Let x(r) = a + 1 - 4*r - 1. Let g(t) = 9*t. Let u(q) = -q - 2. Let v be u(-5). What is v*g(m) + 7*x(m)?\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 19320 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -6607, -52821, -178249, -422497, -825171, -1425877, -2264221, -3379809?\nAnswer: -4812247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1907 is divided by 49?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 101\/28 and 1\/116?\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b*b\/(b\/(b\/b**(5\/3)*b)))\/b)\/b*b\/(b*b\/(b**(-7)\/b*b))*(((b**(-1\/2)\/b*b)\/b)\/b)**(9\/5) assuming b is positive.\nAnswer: b**(-79\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {q: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*l**4 - l**4 + 3*l**4 + (0*l**2 + 0*l**2 - 2*l**3)*(2*l + 0*l - l) + 3*l**4 - 2*l**4 + 0*l**4)*(-2*l + 3*l + 3*l).\nAnswer: 4*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*x + 3*j - 3, -3*x - 6 - 7 = j for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.1  (b) 2\/11  (c) -20  (d) 59  (e) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is (34\/(-8))\/(70812\/(-30348) + (115\/48 - 0))?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -8  (b) -2\/19  (c) -4  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6922.02044 - 0.036.\nAnswer: -6922.05644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/5 in -2, 3, 2\/13, 556, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Product of 160 and 461049.\nAnswer: 73767840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*m - 45 = 3*m. Is 2 greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*s**3 + 576*s**2 - 1250*s**2 + 603*s**2.\nAnswer: 4*s**3 - 71*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w - 10 = 3*k, -5*k - 3*w + 7 = -3. Solve 4 = k*c + 24 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 15860069?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 328095, 328083, 328063, 328035?\nAnswer: 327999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 191887 and 15425?\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/10 or 3\/23?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -5*c - 28. Let m be k(-11). Suppose -90 + m = -f. List the prime factors of f.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -4*q**2 - 4*q + 2. Let s(t) = t**2 - 3*t - 27. Let r be s(7). Let v be m(r). Let z(g) = 14*g - 11. Let a(d) = 5*d - 4. Determine v*z(h) + 17*a(h).\nAnswer: h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2533 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = r + 1. Let i(a) = -3*a - 2. Let d = 517 - 512. Determine d*p(b) + i(b).\nAnswer: 2*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -446408569 + 3599.63.\nAnswer: -446404969.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a, 1 o, and 1 g when three letters picked without replacement from gaggaaggagooa.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 405173 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 308 and 68320120?\nAnswer: 478240840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*l - s + 29, 2*l - s - 5 = 1. Let n(h) be the third derivative of -1\/15*h**l + 0*h**4 + 0*h**3 + 7\/60*h**6 + 0 - 2*h**2 + 0*h. Factor n(q).\nAnswer: 2*q**2*(7*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-18)\/3)\/((-3)\/2). Suppose s + d*s = 25. Let p(y) = y**3 - 3*y**2 + 3*y. Does 18 divide p(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 20 - 13. Suppose y*v = 2*v + 5. Let o = 0.04 - -0.96. Are v and o non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3696819ng in micrograms?\nAnswer: 0.0003696819","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k + 3*t - 16 + 4 = 0, 5*k + 3*t - 12 = 0. Suppose -2*r = -4*w + 13 + 3, 2*w - 8 = k. Solve b + r = 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 4, z: 3}. Give prob of picking 2 z and 1 y.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k + 3*l - 5 = -l, 5*k + 2*l = -5. Let f be (k\/(-9))\/(6\/44). Which is smaller: f or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -1763*q**2 - 2 + 3472*q**2 + 2 - 1707*q**2. Let r(c) = -14*c. Let x(y) = -3*y. Let g(s) = -3*r(s) + 16*x(s). Calculate v(g(b)).\nAnswer: 72*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert -6215 (base 7) to base 5.\nAnswer: -32133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 37914 - 1486 = 0. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -237140, -474273, -711406?\nAnswer: -948539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 - (-9 - -5) - (22 + -18)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 228 and 286266236?\nAnswer: 858798708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 6 + -6. Suppose -d - 4*a - 1072863 = -5772867, v = 2*a - 2. Round d to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2\/(-3)*87039\/(-114) is divided by 18?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.09 + -0.89. Let u = s - -0.5. Let l be 6*(2 + (-18)\/8). Which is the nearest to 1\/3?  (a) -0.5  (b) u  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1516 and 18192.\nAnswer: 18192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 0 + 4 - (3 + 4*-1). Suppose r*q = -q + 156. What is the remainder when q is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*-1*(-2 + (-3*(sqrt(275) + 0) - (-2 + sqrt(275))*-4))**2 + 4)*4.\nAnswer: -1200*sqrt(11) + 4516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -y - 11 + 2. Which is smaller: y or 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-44)\/(-140) - 6\/(-21))*(-325)\/(-13)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -10289686*c**3*j*s**3 - 2*c**3*j*s**2 - 22476*c**3*s + 64*c*s**2 + 3*j*s**3 - j*s**2 + 2 wrt s.\nAnswer: -61738116*c**3*j + 18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -6, -41453 in decreasing order.\nAnswer: 5, -6, -41453","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -500 - -503. Suppose 3*o - 18 = -3*u, 24 = 4*o - b*u - 21. What is the remainder when 149 is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find k such that k**4\/2 + 1934*k**3 + 691461*k**2\/2 - 697265*k + 349600 = 0.\nAnswer: -3680, -190, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 998 is divided by 165?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 672 and 344400.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = a + a - 8. Suppose -5*c + 5*m = -85, -3*c - a*m = -m - 33. Solve -5*k + 30 = -5*l, 0*k = 4*k + l - c for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000035461 rounded to seven dps?\nAnswer: -0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 173 is divided by 88?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let -h**3\/7 - 3074815*h**2\/7 - 2363623358463*h\/7 - 2363620283649\/7 = 0. Calculate h.\nAnswer: -1537407, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qolldlql. What is prob of sequence dq?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 207 minutes before 11:39 AM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zh when two letters picked without replacement from nnnhtnznhnzznztnznnn.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -k**3 + 4*k**2 + 2*k + 1. Suppose -4*l = 5*h + 4 - 44, -h = l - 9. Let r be v(h). Let i be (-9)\/r*(-2 - 0). Solve -p - i*p = -9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22672 equal to 348?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*p - 2*p + 0*p)*(0*p**2 + 2*p**2 + p**2).\nAnswer: -6*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.3 less than or equal to 4004654?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -44, -54, 390, 5, 0, -5 in ascending order.\nAnswer: -54, -44, -5, 0, 3, 5, 390","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a and 1 o when two letters picked without replacement from aoaaao?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zoo when three letters picked without replacement from {v: 6, z: 1, x: 1, c: 2, o: 3, q: 2}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z\/z**(-4))**(-8)\/((z\/(z\/(z*z**7)))\/z)**49 assuming z is positive.\nAnswer: z**(-391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 4469586 and 114?\nAnswer: 84922134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 0.3, -11, -3\/5, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 949?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a - 1 = 3 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) be the third derivative of w**8\/168 - 2*w**7\/105 + w**6\/60 - 15*w**2. Factor o(g).\nAnswer: 2*g**3*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -297*v = -28*v + 13*v - 1692 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -11361 or -11355?\nAnswer: -11361","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -1034 <= -1034?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -w**2 + 3*w - 4. Let y be u(4). Suppose 217*k - 213*k + 8 = 5*l, 10 = -2*k + l. Is y >= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 593 is divided by 73\/146*(3 - (3 + -4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:07 PM and 7:41 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put -3\/7, -0.2, 5.7 in increasing order.\nAnswer: -3\/7, -0.2, 5.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -4*w. Let o(t) = -789*t**2. What is q(o(f))?\nAnswer: 3156*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 1 = -2. Let a = 0 + k. Suppose i = -a*i. Solve 2*l + i*l = 8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is c in -3*c**3 + 35772*c**2 + 71580*c - 286224 = 0?\nAnswer: -4, 2, 11926","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 212323142 + -4?\nAnswer: 212323133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 4*o = 151, 5*o - 38 = -2*l + 290. What are the prime factors of l?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -714637, -714293, -713383, -711631, -708761, -704497, -698563?\n\"Answer: 46*f**3 + 7*f**2 + f - 714691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1449*g + 2 + 1451*g - 2907*g)*(g - 1 + 1)*(3*g + 2*g - 3*g) + (g - 3 + 3)*(3*g**2 - g**2 - g**2) to the form n + u*g**3 + z*g + i*g**2 and give u.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -19 + 22.4. Let w = h - 3.3861. What is w rounded to three decimal places?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -9797  (b) -5  (c) 0.88  (d) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 242240*a + 1211196. Give p(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1.3 - -0.3. Let t = -0.6 - h. Let s be ((-204)\/(-16))\/(-17)*(-8)\/(-3). What is the nearest to 2\/5 in t, s, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*p - p + 24. Let h(d) = d**2 + 4*d - 6. Calculate the lowest common multiple of h(p) and (4\/5)\/((-1)\/(-5)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -9*k**3 + 11*k**2 + 11*k + 11. Let l(z) = 4*z**3 - 6*z**2 - 6*z - 6. Let u be ((-22)\/6)\/(7\/21). Determine u*l(y) - 6*s(y).\nAnswer: 10*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1797 is divided by 60.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (16\/2)\/(125\/((-1500)\/24)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 286 divide 1355050339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Product of -22436.68 and -0.4.\nAnswer: 8974.672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 501, 769, 1037, 1305, 1573?\nAnswer: 1841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*d + 133 = 61 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*w**4\/7 + 20788*w**3 - 2647299776*w**2\/7 + 15878560512*w\/7 = 0.\nAnswer: 0, 6, 36376","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 18 - -1 - (1 + -28 + 28)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**(-1\/26)\/(v\/(v\/(v*v\/(v**(-2\/25)*v))*v)) assuming v is positive.\nAnswer: v**(-77\/650)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 652 rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*a**2*x**5 - 71*a**2*x**2 - 1627*a*x**3 + 2*a*x wrt x?\nAnswer: 120*a**2*x**2 - 9762*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -22246 - -48867. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*k + 5*k - k)*(166*k**3 + 32*k**2 - 166*k**3 + 3*k**4).\nAnswer: -3*k**5 - 32*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -2*j + 6. Find the third derivative of -t**4 - 8*t**j + 104*t**3 - 104*t**3 wrt t.\nAnswer: -24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 0.2  (b) -3  (c) -28\/17  (d) -2  (e) 22.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jjzzjjzzjz. What is prob of picking 2 z?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -16*p - 2. Let i be u(-6). Let o(q) = 97*q + i*q + 14*q. Let d be o(4). What is d rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 585.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38\/5*l - 8 + 9\/5*l**2 + 1\/5*l**4 + 8\/5*l**3 = 0. What is l?\nAnswer: -5, -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (2 + -21043)\/(3 + 6 + -10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000002255131 to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 2, -15664 in ascending order.\nAnswer: -15664, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 11394 and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3.7 + -0.3. Let k be 4014\/42 + -4 + -6. Let j = k + -89. Which is the second smallest value?  (a) j  (b) m  (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -71\/208 and 83\/82093752.\nAnswer: 164187504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -209 + 216. Let m(l) = 11*l - 7. Suppose k = -2*h + 7, -6 = -5*k - 3*h + 15. Let j(q) = 1 + 3 - 3*q - k*q. What is w*j(g) + 4*m(g)?\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2 + -2. Let r = 5 + f. Suppose -2*i = -3*q + 12, 2*q - 3 - r = -2*i. Solve i*o = -m - 4*o - 16, -5*m - 14 = -2*o for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.32 - -0.32. What is the nearest to 0.04 in -2\/17, n, -0.2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 29 - 46. Let p = 12 + n. Let s(w) = -1 + 5 + 1 + 2*w. What is s(p)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 28718686 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8742 = r + 25*r - 308*r for r.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*m**4 - 3*m**2 + 3*m**2)*(2 - 4 - 1)*(0 + 0 - 1)*(491 - 1023 + 497).\nAnswer: 210*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 39 divide 160602?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 175 minutes after 3:33 PM?\nAnswer: 6:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -2*b - 11. Let f(v) = v + 10. Let x(i) = -5*f(i) - 4*q(i). Let p(j) be the third derivative of j**3\/6 + 169*j**2 + 2. What is -6*p(y) - x(y)?\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/(((j\/(j**(-9)*j))\/j)\/j)*j**(-2\/7))\/(j**6\/j**(-2\/21)))\/((j*(j**(-13)*j)\/j)\/(j\/(j*j*j**(-3\/11))*j))**(31\/5) assuming j is positive.\nAnswer: j**(14717\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 17230?\nAnswer: 2, 5, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.3 - 1. Let i = 0.7 - z. Which is the nearest to 2\/5?  (a) i  (b) 1  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2*2*(-116)\/(-348)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 100 + -100.007055. Round t to 4 dps.\nAnswer: -0.0071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(3\/5)*p)\/(p\/(p*p*p*p\/(p*p*p**(9\/7)))*p) assuming p is positive.\nAnswer: p**(11\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find z, given that -3*z**4\/5 - 123*z**3\/5 + 5403*z**2\/5 + 11607*z\/5 - 16884\/5 = 0.\nAnswer: -67, -3, 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -t - 3. Let j(u) = 4. Give -4*f(s) - 3*j(s).\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1.17 - -1.1. Let s = y - 3.93. Let z be ((-33)\/154)\/((-12)\/58) - 1256\/4396. Which is the third smallest value?  (a) s  (b) z  (c) 0  (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -8 (base 16) to base 15.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/6, 4, -0.4, -1\/3, -102 in descending order.\nAnswer: 4, -1\/6, -1\/3, -0.4, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 24\/36*(-6)\/8. Put g, 3\/5, 8 in increasing order.\nAnswer: g, 3\/5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.3 and 186871236.5.\nAnswer: 186871236.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 46777.56 micrometers to meters.\nAnswer: 0.04677756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (1 + 0)\/((-25)\/(-10)). Let d be 14\/(-12) - (-5)\/30. Let u be 0 - 0 - 2\/(-5). Which is the nearest to u?  (a) -2\/7  (b) d  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 88 and 638?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -6*i**2. Let p(r) be the third derivative of -r**5\/60 + 22*r**2. Determine q(p(h)).\nAnswer: -6*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 13\/820 and 25\/6.\nAnswer: 2460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 3, 5, -4122 in increasing order.\nAnswer: -4122, -5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*l - 15, 0*c - 2*c - l + 5 = 0. Let t(d) = -10*d + 1. What is t(c)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*p - 51 - 64. Suppose 0 = -3*d + p + 76. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) be the first derivative of -19 - 76 - 5 + 8*g**3 - g**4 - 37. Factor h(f).\nAnswer: -4*f**2*(f - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 3\/137834332 or 0?\nAnswer: 3\/137834332","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 211820 is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 2\/25 of a litre?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Factor 5*k**5 + 175*k**4 - 365*k**3 + 185*k**2.\nAnswer: 5*k**2*(k - 1)**2*(k + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 599 minutes after 4:37 AM?\nAnswer: 2:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 9874.948 years?\nAnswer: 98.74948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(2\/9)\/t*t)\/(t\/t**(1\/14)))\/(t*t**(-3)*t*t**(1\/6)) assuming t is positive.\nAnswer: t**(8\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 4 = -0. Suppose -5*r + g + 3 = 0. Let j(s) = 29*s**2 + 3*s - 2. Is 15 a factor of j(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/22 in 0.3, -1, 5, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 354\/3422*(2 + 27). Suppose -2*b - 2*j - 6 = 0, -b + 2 = b + 4*j. Let u(v) = -2*v - 2. Let z(d) = -4*d - 4. Give a*z(r) + b*u(r).\nAnswer: 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 107*m*n**2*x + 2*m*n + 7*m*x - 68*n**2*x - 2*n + 2*x + 728 wrt n?\nAnswer: 214*m*x - 136*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 32 and 207712.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -690 + 693. Suppose 0 = 4*m - g - 53 - 7, -4*m = 2*g - 48. Let i be (-3)\/(-2) + 7\/m. Solve i*t - 4*p - 20 = 0, -2*t - p = k*t - 17 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*t + 2 + 8*t**3 - 12*t**3 + 2*t**3 - 3*t + 4*t**2 to the form o*t + c + h*t**2 + f*t**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = p - 8. Let w be s(10). What is the remainder when (-11)\/(1*(-3 + w)) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -2389\/201673?\nAnswer: -2389\/201673","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 40*w**2 + 16. Suppose 28 = 5*s + 18. Let i(r) = 19 - 4 - 17*r**s + 57*r**2. Let o(j) = -7*i(j) + 6*y(j). Find the first derivative of o(d) wrt d.\nAnswer: -80*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 a factor of 32708093?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 14*g - 79 + 9 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3\/(4 - 1) - -65.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 7380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:14 PM and 10:26 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 27, 58, 119, 216, 355, 542?\n\"Answer: a**3 + 9*a**2 - 3*a + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u + 5*k + 17 = -0*u, u = -5*k - 13 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -55119301 times 0.4\nAnswer: -22047720.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (-208)\/32 + 433\/66?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 5115 and 20730.\nAnswer: 7068930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 17a9 + 69?\nAnswer: 1823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c\/(c\/(c*c*c**21)))\/c*c)\/(c**9\/c))\/(c\/(c\/c**(-2\/61))*c*c\/(c\/c**(6\/31))) assuming c is positive.\nAnswer: c**(26170\/1891)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 1, y: 5, c: 1, i: 3, t: 1, v: 1}. What is prob of sequence jc?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide -23535 by 3.\nAnswer: -7845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide -199 by 1.\nAnswer: -199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 53  (b) -3  (c) -2\/7  (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 15 + -12. Suppose -2\/5*b**i - 2\/5*b**2 + 2\/5 + 2\/5*b = 0. What is b?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**3\/(w\/(w\/(w\/((w\/w**2*w)\/w)))))\/((w*w**3*w)\/(w**(1\/3)\/w)))**(-1\/5) assuming w is positive.\nAnswer: w**(14\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -232 + 392. Calculate the highest common divisor of i and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -164.541 + 161.5. Let s = a + -0.289. Round s to 0 decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -69 + 64. Is 4 a factor of g + 6\/((-6)\/(-43))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.199 in 1, 5, -2\/11, 2\/43, -1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14071*i + 1143657 = -932652 + 331505 for i.\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -99, -97, -95, -93?\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4 - (1 - -3)) + -5 + 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/(-2)*32\/80?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ged when three letters picked without replacement from rndnngndgnenng.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 1581 a factor of 13443993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 2*f**2 + 6*f + 3. Calculate the smallest common multiple of k(-5) and 11.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*p - 4*l + 6218, -846 - 11585 = -4*p - 3*l. Is p a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 53\/4 of a millennium?\nAnswer: 1325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 4*b + 5. Let l(h) = h + 1. Let w(g) = -c(g) - l(g). Let a be w(-7). Let j = a + -21. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1 - -6)*40\/(-50). Let n be 12\/(-16)*(-1 - 3). Let g be ((-3)\/3 - 3) + n. Sort -5, g, q in descending order.\nAnswer: g, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 155 from 18.8.\nAnswer: -136.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from crccllclcccclrcc. Give prob of picking 1 r, 1 c, and 2 l.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 953261.\nAnswer: 953261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 1179 rounded to the nearest 100?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**(-6)\/(n\/(n\/(n\/n**(1\/3))*n*n)*n)*(n*n**3)\/(n**5*n) assuming n is positive.\nAnswer: n**(-23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 4) to base 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -6 and -88380.\nAnswer: 530280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = b - 3*h - 2, -4*b + 3 + 5 = -5*h for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 331 a factor of 962879?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -13*l**2 - 2523*l. Let a(s) = 18*s - 4. Determine a(u(c)).\nAnswer: -234*c**2 - 45414*c - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from omobmmom. What is prob of sequence oob?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 37 and 140318134.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = 2*b + 6. Suppose -2*c + 9 = 3. Suppose x + c = -2. Let z(i) = -2*i - 5. Calculate x*y(s) - 6*z(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -577294957, -577294958, -577294959, -577294960, -577294961?\n\"Answer: -v - 577294956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -322 + 331. Solve k*j + j = -40 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-3)\/(-36))\/(2\/(-4))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-4)\/(-14) + 276\/14. Suppose -8*k - g = -12*k. Which is bigger: k or 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -s**3 + 6*s**2 + 8*s + 4. Let h be 100\/6*(-9)\/(-6). Suppose 10 = 5*l - h. Let u be d(l). Solve 2 + 18 = 5*o + 5*i, o - 4*i + u = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -4*j, -j + 540 = 3*i - 164. Let n = i + -119. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 10*p - 52. Let l be j(5). List the prime factors of -2 + 3978\/15 - l\/(-10).\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -50?  (a) 1\/4  (b) -66  (c) 22.83\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 13 - 23. Let x = v - -16. Solve 0 + x = -2*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 5, x: 9, l: 2}. What is prob of sequence llff?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.025 + -4.725. Let o = i - 0.3. Let t = 0.1 + -1.1. What is the closest to t in o, 1\/2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 104 divide 110967168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 265\/2372*(-412)\/(-34). Let a = z - 1\/1186. Calculate the common denominator of a and 53\/2.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -h**2 + h + 2. Calculate the smallest common multiple of ((-1)\/(-3))\/((-6)\/(-198)) and g(0).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*q - 2*m - 94 = -93, 4*q = -10*m + 16 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (2 - 0) + 1141\/(-364). Let d be (-1 - 1)*(-18)\/26. Let t = d + j. Are 0 and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 16 + -8 - 5 - 8\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 5.624 to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.02827 + -0.0134. Round b to three decimal places.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2547602.\nAnswer: 2, 83, 103, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -59\/144 and -67\/776.\nAnswer: 13968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) be the first derivative of -3*x**6\/2 - 3*x**5\/5 + x**3\/3 - 25*x + 49. What is the third derivative of g(b) wrt b?\nAnswer: -540*b**2 - 72*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a - 5*n + 3 = 0, 5 = -6*a + 2*a + n. Let u = -1 - a. Suppose u = 3*t - 20 + 2. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8, -9, -3, -307, 3, 0.\nAnswer: -307, -9, -3, 0, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 108.2 - 84. Let f = q + -18.2. Is f bigger than -2.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*((sqrt(176) - (sqrt(176) - 2*sqrt(176)))*6 + 1)*4*-5 + 4)**2.\nAnswer: 322560*sqrt(11) + 91241536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 535 minutes after 10:13 AM?\nAnswer: 7:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7247*i**2 + 24717*i**2 + 5581*i**2.\nAnswer: 23051*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3\/4?  (a) -3  (b) 1\/4  (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1101*o - 17620 - 80530 = -6767 for o.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 59332033 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ttlwswlls. What is prob of picking 2 w and 1 s?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence crtc when four letters picked without replacement from rrtrtcrttrrtrctcr?\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 9696158551 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = y**3 - 9*y**2 - 10*y + 4. Let h be x(10). Let s = 6 + 26. Solve -2*d + m + 2 + 11 = 0, 0 = h*d - 4*m - s for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 1\/5, -3, 1\/4, 0.104?\nAnswer: 0.104","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-8)\/14)\/((-10)\/35). Let d = -43 - -39. Let u be (-20)\/12 + 4 - d\/6. Solve f*m + u*m = -25 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -700, -2965, -6740, -12025, -18820, -27125, -36940?\n\"Answer: -755*y**2 + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 2123 (base 13) to base 3\nAnswer: 20022002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 63375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1\/3  (b) -24  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/(((-3914)\/515)\/(-38))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aac when three letters picked without replacement from yacoccaaaaocoocaaao.\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = d**3 - 6*d**2 - 6*d + 5. Let f be 72\/(-5) + (-4)\/(-10). Let s = f - -21. Let t be b(s). What is the highest common factor of 96 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1338 = 82*t + 141*t. Let l(c) be the third derivative of -1\/420*c**t - 3*c**2 - 1\/210*c**5 + 1\/42*c**4 + 0 + 0*c**3 + 0*c. Factor l(r).\nAnswer: -2*r*(r - 1)*(r + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 10\/9 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i*i*i**(-1\/8)*i)\/i*i**4)**(-10\/3)*i\/(i**(2\/9)*i)*i*i**8*i*i*(i\/(i*((((i\/i**(4\/11))\/i)\/i)\/i*i)\/i*i)*i)\/i*i**7\/i assuming i is positive.\nAnswer: i**(-571\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 92 - 85. Let m(k) = -3*k + 10. Determine m(j).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -9392 not equal to -216018\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 475880737 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 289*i - 579*i + 288*i + 1 to the form c*i + t and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 575616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3013 + -392. Let x = 4012 - y. Is x a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, -5, -0.6, 0.3 in descending order.\nAnswer: 0.3, -0.1, -0.6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/(-2)*(-11)\/(-44)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 4 - 3.8. Suppose 25*x - 168 - 86 = 446. Which is the smallest value?  (a) -0.4  (b) x  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-248)\/(-33) - 8 - (-2)\/3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -r**2 + 11*r + 16. Suppose -29 = -4*t + 15. Let p be l(t). Suppose 0 = -4*k + q + p, -5*k + 12 = 5*q - 8. Solve c = -k*c + 5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -99571 or -99549?\nAnswer: -99549","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -127\/720 and 47\/63?\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -21*q - 4 + 4 + 16*q. Let g(v) = -16*v**2. Give z(g(o)).\nAnswer: 80*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 712892128?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6.7*-1159312.\nAnswer: 7767390.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 648 and 3874230?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 47484 and 72?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1766  (b) -1\/7  (c) -6.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 769 - 18455\/24. Let h(v) be the third derivative of 5*v**2 - 1\/600*v**6 - 1\/75*v**5 + 0 - r*v**4 + 0*v - 1\/15*v**3. Factor h(x).\nAnswer: -(x + 1)**2*(x + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -2*q**3 - 6*q**2 - q. What is the remainder when 121 is divided by m(-4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:30 PM and 6:40 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 759 or 760?\nAnswer: 760","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2\/17 - (17008\/(-1088) - -15). Suppose -3*c - 4*i = -i - 18, 0 = -5*c - 2*i + 18. Factor 1\/4*m**c + a*m - 1.\nAnswer: (m - 1)*(m + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or 438\/140281?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*d = -21*d + 1. Solve p - 4 = -5*i, -5*i + 2 = 2*p - d for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12*20\/3360*7\/6.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 87 - 86.949. Let k = -1.368 - -4.319. Let t = v - k. What is t rounded to 0 dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1264\/(-1856) + 8\/(-116)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or -2\/9679?\nAnswer: -2\/9679","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:53 PM and 3:35 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -169.0000081 + 169. Round c to 6 decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + 3 + 2 + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 = 5*b + 3*c + 3, 3*b + 4*c = -3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 3\/368 and -91\/64683452.\nAnswer: 258733808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -75068*n**5 - 92*n**2 + 207 wrt n.\nAnswer: -4504080*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-15)\/(-54)*(-6)\/(-10) + 82\/84.\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 107 minutes before 10:30 PM?\nAnswer: 8:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -5, 3, 2, 0 in ascending order.\nAnswer: -5, -4, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.24 + -0.2335. Round v to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/3, -70.97, -9\/4 in descending order.\nAnswer: -1\/3, -9\/4, -70.97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 731940 and 26400?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = 98*u**2 - 26*u + 25. Let n be h(5). What is the greatest common factor of n and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -d + 2. Let z be t(2). Suppose z = 2*o - 5*o + 9. Solve y - 27 = -b + 6*b, -b - 11 = -o*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 112 (base 15) to base 5.\nAnswer: 1432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.712 + -0.93. Let t = k - 0.032. Which is the second biggest value?  (a) -1  (b) t  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.32 + 2.32. Let p = 5\/4 - 2. Put b, -2, p in increasing order.\nAnswer: -2, p, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.50008 times 1?\nAnswer: -1.50008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*p + 10*p + 1229 = z, 2*z + 314 = p. Is 308 < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v*v*v**5*v)\/v**(2\/7)*(v**(-3)\/v)**14 assuming v is positive.\nAnswer: v**(-331\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 1544239 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 3 = u, u - g = -2*g + 8. Let o(x) = x**2 + 17*x - 23. Let l be o(-13). Let q = -13 - l. Calculate the remainder when q is divided by u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*l - 5*l + 19 + 188 + 108 + 4*l to a + q*l and give a.\nAnswer: 315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = 13*q. Let y(n) = 2*n**2 + 875*n + 14. Calculate y(t(g)).\nAnswer: 338*g**2 + 11375*g + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w + 4130 = 3*c - 2*w, 3*c - 5*w = 4142. What is the hundreds digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -18647\/647 bigger than -29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 55 + -170\/3. What is the nearest to -1 in y, -0.03, -0.3, -1\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2560 by -512.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-172)\/(-22) - 6\/(-33). Let w be i\/(-20) + 27\/105. Which is smaller: w or 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3851694485 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 216222473 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -157\/462 and -125\/24486.\nAnswer: 24486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 678258 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2387026 is divided by 266?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 189283?\nAnswer: 29, 61, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 59\/1522772 and -20\/72023?\nAnswer: 10659404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -184 - -183.9509. Let g = -43.1509 + o. Round g to the nearest integer.\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -316*u + 316*u - 2*p = 0, 3*p = 4*u. Suppose 1\/9*j**2 - 1\/9*j + u = 0. What is j?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*w**2 - 17 + 43 - 26.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2 + ((-90)\/3)\/(-3). Let z = 11 - n. What is the remainder when 93 is divided by z\/(-1*(-1)\/(-19))?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x = -2*s - 9, 5*s = 2*x - 5 - 7. Let o be 2 + -3 + 1 + (0 - 1). What is the closest to o in s, -0.5, 1\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.627656 rounded to 2 dps?\nAnswer: -0.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 29672, 59388, 89224, 119240, 149496?\n\"Answer: 10*n**3 + 29646*n + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 256, 411, 504, 505, 384, 111, -344?\nAnswer: -1011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -5 + 3745b?\nAnswer: 37456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -17 + 28. Let r = 21 + -16. Suppose 0 = -4*u - 4, -2*u = r*d - 3*d - 60. Calculate the remainder when d is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7\/6, 82, -5.\nAnswer: -5, -7\/6, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16123627.\nAnswer: 13, 31, 40009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 57 = -13*s - 12*s - 4*s + 231 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30 = -j - 2*i + 9, 2*j - 2*i - 84 = 0. Is j a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is o in -4*o**2\/5 + 796212*o + 31848736\/5 = 0?\nAnswer: -8, 995273","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = 40*u**2 + 4*u - 1. Determine k(-1).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -3, 0, 4, 460 in descending order.\nAnswer: 460, 5, 4, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2*b**4 + 35*b**3 - 4863*b + 2814003.\nAnswer: 8*b**3 + 105*b**2 - 4863","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 8 - 5. Suppose 4*d + b*j = 483, 0 = -2*d + d + 4*j + 116. Let s be ((-7)\/((-7)\/d))\/1. What is the greatest common factor of s and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.028?  (a) 0.1  (b) -0.3  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*o - 3*o - o)*(-5 - 3*o + 5 + 2*o - 3*o + 3*o + (o + 0*o - 3*o)*(-2 + 1 - 1) + 0*o + 0*o + o).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express 645 - 645 - 14*y**2 + (y + y + 0*y)*(2*y - 3*y + 5*y) + (1 - 2 + 0)*(0*y**2 - 2*y**2 + 4*y**2) as b*y**2 + l*y + h and give b.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11513248 is divided by 765.\nAnswer: 763","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 6 - 2)*(0 + 1 + 3)*(-5 + 10 + 7)*(2*a**2 + 0*a + 0*a).\nAnswer: 384*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = z**2 - 25*z - 65. Calculate m(-3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 32448 + -14540. List the prime factors of n.\nAnswer: 2, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w\/(w\/w**(-1\/3)))**4*(w\/w**(-1\/4))**(-1\/12))**(1\/3) assuming w is positive.\nAnswer: w**(-23\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*h**2\/19 - 1244*h\/19 - 30992\/19.\nAnswer: -2*(h + 26)*(h + 596)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -u. Let c(s) = s. Let q(g) = 3*c(g) + h(g). Let x be 3\/(-6)*-10*1. Is 5 a factor of q(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5664005 + 5664005 - 15*g**2.\nAnswer: -15*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*f = -27*f + 228483. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:27 AM and 8:15 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -62 + 61.99. What is the third smallest value in 4, w, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 73 divided by -1.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 168 and 700.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 21012012 (base 3) to base 6\nAnswer: 40135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -35673703 - 24?\nAnswer: -35673727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1360 by -5.\nAnswer: -272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -w**3 - 6*w**2 - w - 3. Let b be c(-6). Suppose 0 = b*h - 7*h, -2 = -2*z - 4*h. What is the highest common divisor of z and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 87572?\nAnswer: 2, 21893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2.513 + -3.513. What is the closest to -0.1 in z, 4, -47?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + 27 - 41 = -2*k, 3*k - 2*o = 21. What is the remainder when 754 is divided by k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -10 + 10. Let a(m) = -43*m + 0 + f + m**2 + 810*m**3 + 42*m. Let h be a(1). What is h rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 222703931.\nAnswer: 12853, 17327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 36832504 is divided by 796?\nAnswer: 788","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -9\/44 - -197\/748. Which is greater: -2 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2\/95 + -293\/380. Let u = 5233.4 - 5233. Put u, -6, m in decreasing order.\nAnswer: u, m, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 88 minutes after 8:14 AM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.685499 centimeters in nanometers?\nAnswer: 26854990","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.153 - 9.547. Let n = 12 + -7. Let y = n + k. What is y rounded to zero dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 479366?\nAnswer: 2, 17, 23, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Add 0 and -3980740460472.\nAnswer: -3980740460472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -275*c + 498*c = -1063*c - 113168 for c.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (18*-1)\/(87084\/19352)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = 98*q - 6553. Give r(67).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -21835 + 130541\/6. Let m = s - -3403\/42. Factor -m*u**3 + 32\/7 - 80\/7*u + 66\/7*u**2 + 2\/7*u**4.\nAnswer: 2*(u - 4)**2*(u - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(sqrt(475) - (2 + sqrt(475)*1))*6.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6291 is divided by 52.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -22, -102, -286, -622, -1158, -1942, -3022, -4446?\n\"Answer: -8*g**3 - 4*g**2 - 12*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 175 and 136175.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 758.8768km in micrometers?\nAnswer: 758876800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -7110*u**2 - 7115*u**2 - 63*u**3 + u**4 - 20*u + 14227*u**2 in the form t*u**4 + v*u**2 + j*u + h*u**3 + i and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xvk when three letters picked without replacement from {c: 2, k: 2, j: 3, v: 2, x: 1, q: 4}.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*g - 953 = -967. Suppose l - 18 = -5*h + 29, -24 = -2*h - 3*l. Suppose -1 = -5*m + h. Solve g*o + m*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-9)\/(-3))\/3 - -1) + (-2384 - -2395)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 116786?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k = 19 + 6. Suppose -3*y = -k*n - 26, -5*y + y + 2*n = -16. Solve -y*o - 6 = -0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 174 + -169. Suppose 3*w + 244 = b*r, 6*r = 4*r - 4*w + 108. Is r even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 6 and 9156.\nAnswer: 9156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2 - -11. Solve 5*k - x = 11 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1  (b) 4262  (c) -8898\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i and 2 k when three letters picked without replacement from kqqieqkkqkkqqdd?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 159*x + 296*x = -256*x + 19197 for x.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*x - 23*j + 21*j - 30 = 0, -8*x + 4*j = 20 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3101 - 3101. Solve -11*w - 3 - 19 = m for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (1 - -5)\/(223 + -225). Put x, 5, -4, -24 in ascending order.\nAnswer: -24, -4, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 547 minutes after 2:50 PM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 18624234?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (612\/(-510))\/(2\/(-5)*-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*a**2 + 8*a - 15480 = 0. What is a?\nAnswer: -90, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2.1 - 2. Let g = 0.0999996 - m. What is g rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -4*(55 + 1)*(-20)\/16. Let a(u) = -2*u**3 + 4*u**2 - 3*u - 4. Let p be a(3). Let v = p + b. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 101267 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -2\/11  (b) -0.3  (c) 4  (d) 4\/9  (e) 70\/33\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -7  (b) 2704  (c) -3  (d) -4  (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 7*b - 11*b + 6*t + 54, -5*b + t + 22 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 694792, 694817, 694860, 694921, 695000, 695097?\n\"Answer: 9*s**2 - 2*s + 694785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: Solve -3*x - 107 + 89 = d, 3*x + 144*d + 876 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*y + 2*y - y)*(y - 2*y + 0*y) - 3*y**2 + 3*y**2 + 4*y**2 + (27*y + 172 - 172)*(-1 + 2*y + 1) to m*y + j + n*y**2 and give n.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 13.9 + -9.8. Let j = i - 3.2. Let k = j - -4.1. Which is the closest to -0.1?  (a) k  (b) -2  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from fcicfgo. What is prob of sequence iocf?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 y and 1 k when three letters picked without replacement from {p: 2, n: 1, y: 2, j: 1, k: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -252 divided by -7.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*n**3*q - 10*n**3 - 3*n**2*q**2 - q**2 - 3 with respect to n.\nAnswer: -6*n**2*q - 30*n**2 - 6*n*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1776 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 267, 528, 789, 1050?\nAnswer: 1311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 612?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -2*h**3 - 8*h**2 + 227*h - 1. Let g(a) = -6*a**3 - 28*a**2 + 681*a - 4. What is 2*g(n) - 7*v(n)?\nAnswer: 2*n**3 - 227*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 34 - -23. Let a = -35 + l. Let k be (7*-43 - -1)*a. What is k rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 388 + -805?\nAnswer: -44a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 - 3 - -10) + -10 + (1 - 4) + -23.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 266 minutes after 10:27 PM?\nAnswer: 2:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 13730 - 68642\/5. Sort -11, n, 0.3, -1\/3 in ascending order.\nAnswer: -11, -1\/3, 0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -453244, -453255, -453266, -453277, -453288?\n\"Answer: -11*x - 453233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18969527?\nAnswer: 18969527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 2*b**2 - 71*b + 15. Calculate g(35).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 388 minutes before 4:43 AM?\nAnswer: 10:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -19*i**2 + 273*i + 165. Give d(15).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 117\/7 + 16\/56.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2047 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*n - 68 + 36 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*h**2 + 5*h**2 - 2*h**2)*(4 - 1 - 1) + (0 + 0 - 2*h)*(0 + 0 + 2*h) - 5 + 3*h**2 + 5.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cpp when three letters picked without replacement from {c: 4, a: 3, p: 3, y: 5, w: 4}?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -169 + 171. What is the nearest to 5 in 1\/5, g, 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {b: 3, x: 8}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert -391 (base 10) to base 7.\nAnswer: -1066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (0 - 4)*(-6)\/8. Suppose 0 = -p*h + 4*h - 6. Calculate the smallest common multiple of 16 and h.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -c**5 + 109493*c**2 + 17*c + 44538 wrt c?\nAnswer: -20*c**3 + 218986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 20208269 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 310*p = 4*g + 308*p - 42, 0 = 10*g - 3*p - 83 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = 32*b + 8. Let g = -266 + 270. Let u(j) = 3 + 0*j + 5*j + 10*j - g*j. What is -3*f(c) + 8*u(c)?\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1)\/((1\/(-3))\/((-6)\/(-18))). Let s(y) = -391*y**2 - 4*y + 3. Let w be s(r). Is w\/(-13) - 28\/182 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(99)\/sqrt(81) - sqrt(44)*-2 - (0 + sqrt(5324) + sqrt(5324) + sqrt(5324) - sqrt(5324)).\nAnswer: -119*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -24 + (375 - 372) + 163 + -7?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is fifteen quarters of a millennium in decades?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 52689111 divided by -3.\nAnswer: -17563037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 992 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jjzjjqjzz. What is prob of picking 4 j?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 27 + -27. Suppose r = b - 2. Suppose z + 20 = b*z. Is z a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 minus -591?\nAnswer: 590.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1693445 or -1693409?\nAnswer: -1693445","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 249, 629, 1109, 1689, 2369, 3149, 4029?\n\"Answer: 50*w**2 + 230*w - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:06 PM and 4:20 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert -214 (base 5) to base 16.\nAnswer: -3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a\/(a*a*a**(-2\/17)\/a))\/a)\/(a*a**21\/a) assuming a is positive.\nAnswer: a**(-372\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b - m - 1 + 44 = 0, 2*b + 2*m = 14. Suppose 0 = -21*f + b*f + 5112. Find the second derivative of -10*x + f*x**2 - 563*x**2 - 7*x - 6*x wrt x.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = 3*r - b, 0 = 69*r - 73*r - 5*b + 33. Let j(d) be the first derivative of 1\/4*d**4 + 6 + 2*d**2 - 2*d + r*d**3. Calculate j(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -93*u**3 - 2*u**2 - 2*u. Suppose -k - 5*f + 18 = 0, -2 = f - 6. Let n be c(k). Let w = n + -411. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -z**2. Let t(i) = -2*i**2 - 4*i. Calculate -2*p(s) - 3*t(s).\nAnswer: 8*s**2 + 12*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 1, b: 2, e: 1}. Give prob of sequence we.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find o, given that 55*o**2 + 60*o + 5 = 0.\nAnswer: -1, -1\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -2001022201001 (base 3) to base 16\nAnswer: -109d8f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 432874*j**2 - 865755*j**2 + 432881*j**2 - 6*j**3.\nAnswer: -6*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34 = 4*x - 22. Suppose 2*q - 6 = -x. Suppose -20 = 5*p - p. Put -1, p, q in increasing order.\nAnswer: p, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -5  (b) 0.5  (c) 0.1  (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -4  (b) -2\/17  (c) -0.1  (d) 8  (e) -0.03\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j = h - 6 + 3, 0 = 3*h - j - 1. Let u be -1 - ((15 - -1) + h). Let w = u + 26. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -3163e - -1d?\nAnswer: -31621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4\/11*3\/(30\/5).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when -1 - 4\/(12\/(-57)) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = 86*g**3 + 32*g**2 + 3*g. Is q(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -175 + 263. Suppose r - 11 = 5*z, 0 = 2*r + 5*z - 21 - 1. Calculate the greatest common divisor of a and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 11134, 0, 22 in descending order.\nAnswer: 11134, 22, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 16*k**2 + 44*k. Let g(c) = -955*c**2. Give u(g(q)).\nAnswer: 14592400*q**4 - 42020*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 1, r: 2, n: 1, m: 1, w: 1, e: 1}. What is prob of picking 1 r and 1 e?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -6 + 6. Suppose -j - 2*g + 848 = j, m = 2*j + g - 853. Suppose -5*p + j - 17 = -y, 4*p - 5*y - 317 = 0. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 513, 507, 499, 489, 477, 463?\n\"Answer: -h**2 - 3*h + 517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h = 9*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 24 and 36426.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -5*g**5*o**2 - 120*g**2*o**3 + 2588*g + o**3 wrt g.\nAnswer: -100*g**3*o**2 - 240*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u + 2*u = 3. Let x(s) = 2*s + 10. Let b be x(-5). Let l = b - u. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 2, -562, 1, -26 in decreasing order.\nAnswer: 2, 1, -1, -26, -562","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1882*x = 12131 - 68584 - 50980 - 69475 for x.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -27 divided by -4328744?\nAnswer: 27\/4328744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 + (-99)\/(1 + 8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 472 minutes before 4:58 AM?\nAnswer: 9:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.097725 plus 0.89858449?\nAnswer: 1.99630949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -342 divided by 24.\nAnswer: -57\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 6388 - 63803\/10. Let b be 155\/(-10) + (-2)\/(-4). Calculate the common denominator of (-47)\/(-3)*b\/10 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zwr when three letters picked without replacement from vwrgzwa?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -25 + 27. Suppose -k*a + 2*z = z + 149, a = 4*z - 85. Let r = a + 106. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k - 3*c = -1 - 43, 0 = 3*k + 3*c - 33. Suppose -5*q - 17 = -57. Suppose -5*p + 3*p = -q. Calculate the remainder when k is divided by p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or -321\/527?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 2*s - 10 = n, s - 5 = -4*n. Suppose n*b + b - 9 = 0. Suppose b + 1 = 5*q. What is the nearest to q in -2, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h - 5 = -2*v, 0*v = 4*v - h + 17. What are the prime factors of v\/(4*2\/(-456))?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -0.2, 3, -4, 2, 0.03?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 3\/(3*3\/(-6)). Let v be (12\/(-15))\/4 + (-3751)\/(-55). Let a be (v\/12)\/(j\/(-6)). What is the greatest common factor of a and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:22 PM and 6:00 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (1\/(-3))\/((-11)\/(-165)). Let y(w) = -w**2 + w + 1. Let k(q) = 6*q**2 - 5*q - 5. What is j*y(v) - k(v)?\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -10*f + 130 - 60 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/(3*1\/(-9)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -1201323 (base 4) in base 3?\nAnswer: -22121010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 61.374 times 0.4?\nAnswer: 24.5496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = 3947*j + 42. Is f(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -7\/8 and 52\/1181709.\nAnswer: 9453672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4157, -8266, -12361, -16436, -20485, -24502, -28481?\nAnswer: -32416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -s - 91 = 2*l - 86, -s - 5*l = 5 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20967 is divided by 10292.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -3*n + 4. Let k(i) = i**2 + 6*i + 8. Let x be k(-4). Suppose 0 = 3*l - 0*l - 5*c - 46, x = l - 2*c - 17. Determine g(l).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 328 minutes after 11:21 PM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = 1324*o - 139. Let t(f) = 19*f - 49. Let v be t(3). Is b(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 divisor of 1040 and 520?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 10011111011100110100 (base 2) to base 14\nAnswer: 130028","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is a - 18?\nAnswer: -d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Are -3425749 and -3425752 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 182 = 3*l + 44. What is the greatest common divisor of 368 and l?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -t**2 + t + 1. Let s be z(-2). Suppose -h - 60 = 3*h. Let r be (2\/(-12))\/(10\/h). Which is the third biggest value?  (a) 0  (b) s  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-64)\/1408*1\/((-2)\/72) + 3 + -5.\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 0.9475777 kilograms?\nAnswer: 947577700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1471 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 - ((7 - (1 - -3)) + 10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.296021457 - 8.045377303. Let z = 6.041401 + o. Let j = z - -2.3. What is j rounded to 7 decimal places?\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:38 AM and 10:48 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) be the first derivative of 27*g**5\/5 - 5*g**4\/6 + 118*g - 15. Let y(p) be the first derivative of n(p). What is the third derivative of y(j) wrt j?\nAnswer: 648","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 283603*c**4 - 367145*c**2 wrt c?\nAnswer: 6806472*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1224 divided by 102?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 834*k**5 - 101367*k**3 - 4*k**2 - 763401*k - 13?\nAnswer: 50040*k**2 - 608202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -5.5*16.35638\nAnswer: -89.96009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -56 - -81. Solve q + 3*z + 13 = 0, 7*q - 3*q + 3*z + f = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -2*2*(-1 + 0). Let q = 27981 - 27978. What is the closest to -0.2 in l, 0.5, q?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 60 (base 16) to base 6\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (2\/6)\/(15\/18 + -1). Sort 9, g, -3 in descending order.\nAnswer: 9, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 231836, 231946, 232056, 232166?\n\"Answer: 110*g + 231726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:08 AM and 11:36 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c = 4*c - 25. Suppose 206 = 4*a + 5*o, -2*a - c*o + 19 = -79. Suppose -7*w - a = -10*w. Is 18 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -31653 less than 0.1?\nAnswer: 31653.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 33.873 - -0.127. Which is the nearest to 1\/4?  (a) x  (b) 4\/3  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 26*s**3 + 6299550 - 6299550.\nAnswer: 26*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (13 - 0) + (-3 - 2) - (-21 - -14)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 860.8667 kilometers in micrometers?\nAnswer: 860866700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*i**3 + i**3 - 14*i**3)*(2*i - 4*i + 0*i)*(270 - 156 - 239) to the form s*i**4 + d*i + l*i**3 + n*i**2 + y and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 4a28 (base 11) in base 14?\nAnswer: 256c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1491*m*q**3 - 183*m*q**2 + 8*m*q - 743*q**3 + q + 6 wrt q.\nAnswer: 8946*m - 4458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Determine r so that 1686*r**4\/7 + 952594*r**3\/7 + 135973102*r**2\/7 + 399707326*r\/7 + 947532\/7 = 0.\nAnswer: -281, -3, -2\/843","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 17\/4 of a decade in months?\nAnswer: 510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 6 = 0, -2*t - 16 = -2*y - 4*t. Suppose -9 = y*a + 41. Let i = 13 + a. Sort 10, -4, i.\nAnswer: -4, i, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6 + 240\/42)*21\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -5*s**3 - 2*s**2 + 1. Determine h(2).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -4.63 - -4.2. Let c = -0.2 - a. Let z = 0.25 - c. Which is smaller: z or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 91535 is divided by 44623?\nAnswer: 2289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4228 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -h**3 + 19*h**2 - 19*h + 26. Let m be b(18). Suppose -v - 4 + m = 0. Solve -k + 3*l = -v, -l + 5 = -4*k - 1 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 41 and 1644230728.1.\nAnswer: 1644230769.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 1700 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) be the third derivative of 1318*m**7\/35 - m**5\/30 - m**4\/12 - 1135*m**3\/6 - 262*m**2 + 6. Find the third derivative of b(o) wrt o.\nAnswer: 189792*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*s + s. Suppose x - 5*x + 684 = s. List the prime factors of x.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*c**2 + 3005*c.\nAnswer: 5*c*(c + 601)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 2 y when three letters picked without replacement from {j: 1, d: 1, s: 5, y: 3}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -307\/24 - -105\/8. Factor -1\/3*l + 2\/3*l**3 + 0*l**4 + 0*l**2 + 0 - n*l**5.\nAnswer: -l*(l - 1)**2*(l + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 23661?\nAnswer: 3, 11, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -60*t**3 - 10*t - 76. Suppose 26*c = 16*c - 40. Let p(i) = -i**3 - 3*i - 1. Let u(n) = c*p(n) + w(n). What is the second derivative of u(y) wrt y?\nAnswer: -336*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.2218 * -0.1\nAnswer: -0.02218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 6313 (base 13) in base 2?\nAnswer: 11010110001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(171) - (-3*sqrt(171) + 5)) + (-2 + sqrt(171))*6.\nAnswer: -17 + 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 485 - 483. Let x(p) be the second derivative of 0 + 0*p**2 + 7\/6*p**4 + 0*p**3 - g*p. Let j(m) = -m. Determine x(j(o)).\nAnswer: 14*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from goggggggo?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express (-18807515*h + 18807515*h - 3390*h**2)*(5*h - 3*h - h)*(-2 + 2 - 1) as l*h**3 + c*h + p + m*h**2 and give l.\nAnswer: 3390","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 - 30*j**2 - 27\/2*j**3 - 6*j.\nAnswer: -3*j*(j + 2)*(9*j + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q*q\/q**(-2)*q)**0*q**(-3\/8)\/(q*q*q*q*q*(q**6*q)\/q) assuming q is positive.\nAnswer: q**(-91\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 15952, 16174, 16396, 16618, 16840, 17062?\n\"Answer: 222*s + 15730","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 1793, 14302, 48255, 114374, 223381, 385998?\n\"Answer: 1787*h**3 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -p + 42 = 2*p - 6*p for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 21 - -10. Suppose 49 = 5*t + 4*x, -4*t + 2*x + 3*x = -m. Calculate the least common multiple of 9 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f + 161 = -9. Let o = f - -52. Suppose 5*k = -o + 3, k = 2*a + 11797. What is a rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3 by 37789.\nAnswer: 3\/37789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1124731 centuries in years?\nAnswer: 11.24731","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32 = -422*s + 430*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 29 (base 10) to base 13.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Add together -69 and 41.6939.\nAnswer: -27.3061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4023 divided by 9.\nAnswer: -447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -409*n - 1. Let g(a) = 20*a. What is f(g(o))?\nAnswer: -8180*o - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) be the third derivative of y**5\/60 + y**4\/6 + 2*y**2 - 245*y. Factor q(r).\nAnswer: r*(r + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vwttrwxo. What is prob of sequence xov?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2863972?\nAnswer: 2, 43, 16651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 29.678114 to zero dps.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -d**3 + 15*d**2 - 10*d + 15. Calculate m(14).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 374801037 to the nearest integer?\nAnswer: 19360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5*sqrt(34))\/sqrt(2))**2*5 + (sqrt(68)\/(sqrt(16)\/sqrt(4)) - (sqrt(17) + (sqrt(612) + sqrt(17))**2 + 0)).\nAnswer: 1292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 212213210 (base 4) to base 9.\nAnswer: 260875","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -5*q + 3. Suppose 1 + 4 = -3*r + o, 10 = q*r + 2*o. Solve 2*j + d - 8 = -r*d, 3*j = -4*d + 12 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d + 5*p - 6 = 18, 0 = -4*p - 16. Let r be (-4)\/(-22) - (-46)\/d. Let n be 4\/5*(-10)\/r. Let o(c) = -2*c**3 + c**2 + 3*c - 1. Determine o(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 91849201 less than 91849206?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 520 - 258 + 819*n - 6*n**3 - 272.\nAnswer: -6*n**3 + 819*n - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-4)\/(-12))\/(1\/105). Let o = 481 - 341. Calculate the highest common factor of o and m.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 3*p**2 + 10*p + 1. Determine b(-5).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Determine g so that 2*g**3\/3 + 2*g**2 + 2*g + 2\/3 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 37*v + 31*v = 204. Let g(d) be the second derivative of -8\/21*d**v - 4\/7*d**2 - 22*d + 0 - 1\/14*d**4. Factor g(l).\nAnswer: -2*(l + 2)*(3*l + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -d**3 - 2*d**2 - d + 1. Let n(a) = -a**3 - 4*a**2 + 2*a + 121. Determine 2*i(v) - n(v).\nAnswer: -v**3 - 4*v - 119","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1e2 (base 16) to base 3.\nAnswer: 122212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 5742 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 744 = 111*o - 648 + 171 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -6481*u**3 + 1739626 - 2453*u**3 - 1740748 wrt u.\nAnswer: -26802*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*s - s + 5*s)*(5 - 10 + 8 + 2*s) to the form m*s + v + t*s**2 and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 12664 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 8513441?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 52542 is divided by 26206?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cces when four letters picked without replacement from {c: 3, n: 1, k: 1, e: 2, s: 2, l: 3}.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -9.62767 rounded to two dps?\nAnswer: -9.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -24355, -24353, -24351?\nAnswer: -24349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 2\/5, 9\/2, -183075, -3?\nAnswer: -183075","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -16*o**2 + 1131*o + 356. Determine m(71).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -259*c**4*g - 701*c**3*g - 5519*g - 4 wrt c.\nAnswer: -1036*c**3*g - 2103*c**2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 5805 and 244971?\nAnswer: 1224855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -n**3 - 3*n**2 + 3*n + 4. Let u be h(-3). Let k = 7 + u. Let g(s) = s**2 + 2*s. Let a(z) = -3*z**2 + 3*z + 0*z + 4*z**2. What is k*a(p) - 3*g(p)?\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 6 + -1 - (-70)\/(-20). Factor w*m - 3\/2*m**2 - 1\/2 + 1\/2*m**3.\nAnswer: (m - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 73\/3 and 63\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Product of 97.2 and -7417.\nAnswer: -720932.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -169\/2244540 and -53\/6.\nAnswer: 2244540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 29\/3 and 187\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -35828 - -35828. Let m(g) be the first derivative of 0*g + r*g**3 - 6 + 13\/2*g**4 - 2*g**2. What is the second derivative of m(p) wrt p?\nAnswer: 156*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -x + 3. Suppose -604 + 672 = -17*s. Give y(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*f + f - 4*f - 2*f.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2487*v**2 + 1366*v**2 + 1123*v**2.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = n**2 - 3*n. Let t be u(4). Let o(z) = -2*z**2 + 7*z - 6. Let s be o(t). Is 13 a factor of (-266)\/s - 4\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*x - 2177 = 377*x + 1851 + 2758 for x.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u = -4*c - 150, 4*c = -6*u + 2*u - 124. What is the units digit of 1 + (-2975)\/(-13) + (-4)\/u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.9761248 rounded to one decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2, -0.2, 8\/15?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Product of 33.52 and -4065.\nAnswer: -136258.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 59*-0.1\nAnswer: -5.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(300) - (1 + sqrt(300) + sqrt(300)*1) - sqrt(300) - (sqrt(300) + sqrt(300) + ((sqrt(300) + -1 + 5 - sqrt(300))**2 - sqrt(300))))*-4.\nAnswer: 68 + 120*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.21 - 8.21. Let a = d + 6. Let f = a + 1.99944. What is f rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -27, -92, -207, -378, -611, -912, -1287, -1742?\nAnswer: -2283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.23166?  (a) 12  (b) -0.14  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 2, o: 1, b: 1, p: 4}. Give prob of sequence ww.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -408970 to the nearest 1000.\nAnswer: -409000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*u + 46*u = -11*u + 649 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4254)\/51048)\/((1\/(-948))\/1).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 50*(185\/296)\/(30\/8). Determine x, given that -3*x**5 - 2*x - h*x**2 + 5*x**3 + 25\/3*x**4 + 0 = 0.\nAnswer: -1, -2\/9, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 438986 + -103161446\/235. Let l = n + -53\/47. Let a = 0 + -1. Is l at most a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -16.423999552 - 0.3?\nAnswer: -16.723999552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ptktbpthbbp. What is prob of picking 1 b and 1 k?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1246431412 to the nearest integer?\nAnswer: 1076","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000158716 to 7 dps.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 1200 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z = -2*q - 124, -4*z = 3*q - 2*q - 258. Let u = 17966 + -17964. What is the highest common factor of u and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*s - 15. Let l = 16 + -20. What is the third biggest value in -3, l, s?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -1. Let x(q) = q - 7. Let t(y) = 20*r(y) - 4*x(y). Let a(b) = -9*b + 17. Suppose 3*m - 20 = 8*m - 2*c, -5*c = 3*m + 43. Determine m*a(k) + 13*t(k).\nAnswer: 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -2767  (b) 382  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -8*s - 2. Give y(5).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put together 59.3 and -90.3841139.\nAnswer: -31.0841139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3468 = 1343*w + 2804 + 3129 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 6\/15 + 62751301833\/(-1490). Let y = 42114969 + z. Let g = y + -4\/149. What is the common denominator of 48\/5 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 85 + -93 + 83 + -68\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, 2, 5.4 in ascending order.\nAnswer: -0.4, 2, 5.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 115 divided by -6\nAnswer: -115\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i = 329 - 332. Let y = 12 - 7. Let k be (-28)\/45 - (-4)\/10. Which is the nearest to 1\/2?  (a) k  (b) i  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -5*t**3 - 3*t**2 - 32*t - 35. Determine o(-4).\nAnswer: 365","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 781?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(99)*1)\/sqrt(9))**2 + sqrt(11) - sqrt(11) - (sqrt(88)\/(1*sqrt(8)))**2) + (-1 + sqrt(1584) - sqrt(11) - 1*sqrt(99))**2.\nAnswer: -16*sqrt(11) + 705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -3261*j**3 + 3*j - 3. Let n be w(3). Let b = 3962084\/45 + n. Let v = -46\/9 + b. Sort -0.2, 4, v, -1\/3 in ascending order.\nAnswer: -1\/3, -0.2, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.17 + 0.17. Which is the closest to 0?  (a) -0.2  (b) n  (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 316 - 23. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -14162 + -50?\nAnswer: -14232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.9 - 1.9. Let z = 673\/4 + -169. Which is smaller: y or z?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 e and 2 j when four letters picked without replacement from {j: 10, e: 4}.\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.5  (b) 1\/4  (c) 37543  (d) -4  (e) -2\/165\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 15174 * 323\nAnswer: 4901202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -t**3 - 7*t**2 + 10*t + 5. Let k be (1 - 2)\/(1\/7). Let u be y(k). Let n = 148 + u. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -438021 divided by 27.\nAnswer: -16223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or -194\/8475?\nAnswer: -194\/8475","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 13 + -11?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -65 - -135. Let i(l) = -619*l + 3207. What is the lowest common multiple of i(5) and m?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 2*b**3 + 11*b**2 + 9*b + 22. Let a be p(-5). Solve 6 = -2*t + a*x, 0*t - 4*t - 5*x = -6 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -21727 bigger than -21726?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -6.3 - -1.4. Let o = r + 4. Let q = o + 0.893. What is q rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 1 + 1)*(-2*h + 10*h + 2*h)*(-1 - 9*h**2 + 3*h**2 + 2*h**2).\nAnswer: 40*h**3 + 10*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**(-2)*a*a*a**(-6)\/a*(a**6\/a)\/(a**(-6)*a*a)*(a*a**(2\/13)*a\/a**(-3))**39 assuming a is positive.\nAnswer: a**203","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**6*u**(1\/30)\/u*(u**(-7\/5)*u)**(5\/9))**(-11) assuming u is positive.\nAnswer: u**(-4763\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*l - 4*g + 10306, -g + 0*g = -5*l + 10311. Suppose -5*q + l = -q - y, 0 = 4*q + y - 2058. Let t = -266 + q. Round t to the nearest 10.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -d**3 - 6*d**2 - 3*d + 4. Let x be i(-5). Let z be 4\/x + 39\/18. Let j = -0.03 - -0.33. Which is the biggest value?  (a) z  (b) -0.5  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -f**2 - 3*f. Let j(d) = -11*d**2 - 123*d - 340. Let b(s) = j(s) - 6*u(s). What is w in b(w) = 0?\nAnswer: -17, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -1 + -a06b0?\nAnswer: -a06b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -908*w**2 + 3*w - 109088 wrt w.\nAnswer: -1816*w + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 191 - 190.9. Let z = 214\/255 + -2\/51. Sort s, z, 1 in descending order.\nAnswer: 1, z, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.40567985 rounded to one dp?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -3194 - -3208. Solve -l = -3*w + b, 0*l - 2 = 2*w + 5*l for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 39*i - 49. What is the hundreds digit of o(16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*p - 4*z + 33, -p - z - 23 = -6*p. Let j = 4 - 6. Let k = 273 + -270. Which is the biggest value?  (a) j  (b) p  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 - 1) + -2 + 2 + -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) be the first derivative of -2*a**3 - 1\/180*a**5 + 0*a**4 + 0*a + 0*a**2 + 1\/1080*a**6 + 3. Let s(d) be the third derivative of u(d). Factor s(h).\nAnswer: h*(h - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -13332 - 3321111?\nAnswer: -10001103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 36  (b) -1  (c) -79  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33 = 3*i + 6. Suppose i + 9 = 2*x. Differentiate x*o + 8 + 15 - 18 wrt o.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.5, -2, -2.3?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 98 + -100 + 0 + -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -34*h - 83 + 15 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 22186.\nAnswer: 2, 11093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 84256, 84264, 84274, 84286, 84300, 84316?\nAnswer: 84334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + -20 - (84 + -38 - 35).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-45)\/(-50) - 69\/(-115)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gj when two letters picked without replacement from yamyjgmyymymmmymm?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = k**3 - k**2 - k - 4. Let d be j(2). Let c = -3 + 2. Let q be (d + 11)*c\/(-3). Solve q*a = a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -37 - 33 - 9*r + 38 - 8.\nAnswer: -9*r - 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find b such that -b**3 - 16*b**2\/3 + 11*b - 14\/3 = 0.\nAnswer: -7, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2541 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*z - 21*z + 4*x - 14 = 0, 2 = x. Let u be (-470)\/(-15) + 1 + z\/(-9). Calculate the highest common factor of u and 256.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (8 + (-14)\/2)*(22 - -1). Let l be -1*2\/(-4)*-38. Let g = l + n. Sort g, -1, 0 in ascending order.\nAnswer: -1, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -5 + 1 + 156\/12. What is the second derivative of -7*m - 31*m**4 + w*m - 10*m + 0*m**4 wrt m?\nAnswer: -372*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.1641 + -0.0941. Which is the second biggest value?  (a) 5  (b) -1\/2  (c) u  (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*q - 65*q**3 - 10*q**3 - 2*q.\nAnswer: -75*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-12))**(-1\/9)*f**(-2)\/f**(-19) assuming f is positive.\nAnswer: f**(55\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -5  (b) 0.2255  (c) -4  (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -513 in 3, -0.4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = h**2 - 10*h - 1. Let n be w(10). Is -6\/17 < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12903261013 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*d**2 + 3*d**2 - 4 + 2.\nAnswer: -d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -8*m**2 - 246*m - 237. Give o(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 17 - 13. Suppose 2*q - 16 = -2*v, -v - 12 = -o*v. Solve 28 - 8 = q*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*p**3 + 50505*p**2 - 1011000*p + 5056500.\nAnswer: 3*(p - 10)**2*(p + 16855)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) be the third derivative of -3*s**5\/160 - 83*s**4\/96 - 3*s**3\/2 + 190*s**2 - 1. What is u in c(u) = 0?\nAnswer: -18, -4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12051132 divided by -12051132?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 0.2  (b) -90  (c) -817  (d) -39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/5)\/(((-234)\/45)\/(-13)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + (0 - 4) - -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1492*c - 3337*c - 6563*c = 6833*c - 1005906 for c.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 16*3\/(-144)*6\/(-19)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 3\/(5 + -8)*47. Let z = j - -46. Let o be (z - -2)*(-30*2)\/(-5). Sort o, 0, 1 in decreasing order.\nAnswer: o, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = 2*y**2 - 9671*y - 38720. Calculate a(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 403100324 (base 5) to base 11\nAnswer: a01620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 142 is divided by 48.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = y**3 - 2*y**2 + 3*y - 1. Let v = 11 - 6. Let f be a(v). Suppose -5*t + 6 = 21, 3*t + f = 4*u. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d*d**9*d**(-6)*(d**(-5)\/d*d)\/d**(-3)*((d*d*d**(-7)\/d*d)\/(((d*d**(3\/7)\/d)\/d)\/d*d))\/(d\/d**(-2\/9)*d**(1\/10)) assuming d is positive.\nAnswer: d**(-2363\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 246*j**2 - 246*j**2 + 29*j**3.\nAnswer: 29*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2\/9  (b) -5  (c) 3232  (d) 7  (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 1, v: 1, o: 3, k: 2}. What is prob of picking 1 o, 1 k, and 1 y?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) be the first derivative of 37*v**4\/2 + v**3 - 19*v**2 + 278. What is the third derivative of q(b) wrt b?\nAnswer: 444","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3*((-10)\/4)\/((-55)\/22)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 1\/7  (b) -2\/9  (c) 6\/11  (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -18 + -1*2\/40 + 30766771\/1012620?\nAnswer: 37\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 3*c**3 - 4*c**2 + 25*c - 19. Let f be p(1). Solve 23*d - 22*d = -4*y + 9, f = d for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 132 is divided by 45.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 61626941?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) be the second derivative of 11\/2*x**2 + 15*x - 4\/15*x**6 + 0*x**4 + 0 + 0*x**5 + 0*x**3. Find the first derivative of a(j) wrt j.\nAnswer: -32*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -444 (base 6) to base 14\nAnswer: -c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**0)**(8\/9))**(2\/9) assuming g is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Determine x so that 2*x**5 - 730*x**4 + 6266*x**3 + 50570*x**2 - 6268*x - 49840 = 0.\nAnswer: -5, -1, 1, 14, 356","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 87 and 2\/(-10) + 8706\/210*7.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1 + 2 + 1\/1. Suppose 0*m = y - 5*m, -k*y - 2*m = -22. Suppose 3*v - 44 = y*v. Round v to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 221 + 49 = -3*r. Let y be 1 + (-6)\/(r\/(-1041)). Let n = y + 289\/10. Find the common denominator of -29\/44 and n.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 75996 and 3?\nAnswer: 75996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = 109908*c. Let m(b) = -54*b**2. Give g(m(x)).\nAnswer: -5935032*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -20, 36, 214, 574, 1176, 2080?\n\"Answer: 10*m**3 + m**2 - 17*m - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = 4*i**2 - 111*i + 1363. Calculate m(27).\nAnswer: 1282","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 429367731 to the power of 1\/2, to the nearest integer?\nAnswer: 20721","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 2246, 8940, 20096, 35720, 55818?\n\"Answer: v**3 + 2225*v**2 + 12*v + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -8056\/7, -1\/5, -2, -1\/4, -1, -3, 0.4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -9*l + 37. Let d be u(3). Suppose 15 - 8 = g - 2*j, 0 = -g + 5*j + d. Solve i + 2*i = g*o, -5*i = -o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 68 and 70958?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hhxzj. What is prob of sequence xz?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n = -3*d - 27, 5*d - 57 = 4*n - 96. Put n, 2.85, -0.5, -2 in decreasing order.\nAnswer: n, 2.85, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 6372 and 27756?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -2*z - 2. Let n be t(4). Which is greater: n or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -1*(0 - 0) + 0. Let k = 10 - 13. Let i(s) = -s**2 + 8*s - 8. Let x be i(6). Which is the third smallest value?  (a) k  (b) w  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 8 = -0. Solve 4*k + 5*p = -15, -o*k - p = 3 - 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-46)\/(-12) + (-1)\/(-6). Solve -q*a = -9 - 3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -5.031 - -5. Let o = 4.089 - k. Round o to 1 dp.\nAnswer: 4.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-1584)\/90)\/22)\/((-58)\/5)?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*d**2 + 54916960*d + 150793624782080.\nAnswer: 5*(d + 5491696)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 5699431 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 116 = 22148*g - 22090*g. Determine j so that 4\/3*j - 10\/9*j**g + 2\/9*j**3 + 0 = 0.\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 12489.82 nanometers?\nAnswer: 0.00000001248982","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) be the third derivative of a**6\/60 + a**5\/15 - 5*a**3\/6 - 8*a**2. Let y(x) = -2*x**3 - 3*x**2 + 4. What is 2*k(j) + 3*y(j)?\nAnswer: -2*j**3 - j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 356288 - -32.78.\nAnswer: 356320.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 232 (base 5) to base 6\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -7*(-6)\/(-105) + -17*(-4)\/20?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -5*d - 2*x, -2*d - 2*x - 2*x = 6. Let q(s) = 2 - d*s + 12*s + 6*s - 6*s. Determine q(-2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14336897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 290718997 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 12) in base 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 161 = 5*s + 41. Let q(c) = c**2 + 7*c - 25. Let u be q(-15). Let p = -86 + u. Calculate the remainder when s is divided by p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1)\/((-45)\/108))\/((-2190)\/(-25))?\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 56.3 - 50. Let g = -6.5 + q. Let h = g - -0.9. What is h rounded to 1 decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -351697 - 448107 + 3*k - 3*k + k.\nAnswer: k - 799804","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1104, -1103, -1102, -1101, -1100, -1099?\nAnswer: -1098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*o = 11*o - 209. List the prime factors of o.\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 + 0 - 1)*(4*a - 3*a - 2*a)*(4 - 2*a - a - 3) to the form q*a + c*a**2 + y and give c.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -5 - 2*w**3 - 5*w - 2*w**3 + 5*w**2 - 6*w**3 - 7*w**3. Let c be (7 - 2)\/((-1)\/(-1)). Let s be v(c). Round s to the nearest 100.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = a**2 + 5*a. Let t be b(-6). Suppose -t*g = -3*g - 48. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4.9*4045\nAnswer: -19820.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 92806?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 110*f**5*k + f**3*k + 2*f**2 - 266*f*k - 2*f + k - 8 wrt f.\nAnswer: 2200*f**3*k + 6*f*k + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2016, -10185, -30632, -69495, -132912, -227021?\nAnswer: -357960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -1106*v - 12174. What is m(-11)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + (1 - -2 - (4 + 5)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1499 is divided by 387.\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12468*j - 14 + 37396*j - 12446*j - 12481*j - 6.\nAnswer: j - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 98.7 - 92. Let v = -7 + o. Put -0.1, 5, v in decreasing order.\nAnswer: 5, -0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1.29 * 0.1\nAnswer: -0.129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -13*c**2 - 8355*c - 66024. What is m(-8)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (10\/(1200\/18))\/((-108)\/(-4735070)). Let h = -51555\/8 + r. Let k = -132 + h. Which is the second biggest value?  (a) 1\/6  (b) 5  (c) 0.3  (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -8380 by -5.\nAnswer: 1676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -555*j + 189*j + 180*j + 184*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + (3*1*sqrt(396))**2)*4.\nAnswer: 14268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 56*c + 7*c + 65987 + 7345 = -519*c for c.\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-2\/7))**(1\/66)*k**4*k\/(k**2\/k)*(k**(-2\/5)*k**(-5))**(-1\/15) assuming k is positive.\nAnswer: k**(25154\/5775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = n + 32. Let c be u(0). Suppose -5*f = 10, 0 = -k - 2*f + c + 3. Let p = k + -18. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 59*d**3 + 4*d**2 - 4*d**2 - 53*d**3.\nAnswer: 6*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.0307 from -457.78.\nAnswer: -457.8107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -730*r - 3402. What is the smallest common multiple of y(-6) and 3?\nAnswer: 978","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 118\/4 + (15\/18)\/((-6)\/(-90)) + -12\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 258058, 516030, 774002, 1031974?\n\"Answer: 257972*o + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 4577.3 - 4576.951545. Let d = -0.348 + t. Round d to 5 decimal places.\nAnswer: 0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**21\/l)\/l**(-2\/19))\/(l*((l\/l**(-5\/9)*l)\/l)\/l*l*l*l**(-38)) assuming l is positive.\nAnswer: l**(9328\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(17) - (sqrt(17) + -1 + sqrt(17) + -2))**2 + sqrt(17) + sqrt(1377) + -1.\nAnswer: 4*sqrt(17) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 at least 11\/63202?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 168931211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = 7*u + 0*u - 6*u + 7*u**3. Calculate the smallest common multiple of 4 and n(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -15, 5, 1082, 0.3, -1\/3, 1\/2 in increasing order.\nAnswer: -15, -1\/3, 0.3, 1\/2, 5, 1082","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 861625 and 21655?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express 312892 - 312892 + 5185*y**2 as b*y + u*y**2 + k and give u.\nAnswer: 5185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*x - 2*q + 3*q - 260, -2*x + 4*q + 148 = 0. Which is smaller: 68 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 152.17068 months in centuries?\nAnswer: 0.1268089","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 2*k**2 + 20*k + 5. Let h(g) = -9*g**2 - 103*g - 23. Let b(q) = 2*h(q) + 11*u(q). Determine b(-5).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -83460 divided by 130.\nAnswer: -642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 62 minutes after 11:37 AM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -131 + 43 = -4*o. Let x = o + -20. What is the third derivative of -2*f - 46*f**4 + x*f + 43*f**4 + 9*f**2 wrt f?\nAnswer: -72*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*h = 11*h + 75. Let j(f) = f - 1. Let u(n) = -5. Let p(m) = 2*j(m) - u(m). Let x(c) = -10*c - 14. Determine h*x(r) - 14*p(r).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -1 + 0 - (14 - 14). Let t = -27\/2 + 13. Which is the closest to -2\/5?  (a) 3\/5  (b) t  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 10, d: 6, v: 1}. What is prob of sequence dvud?\nAnswer: 5\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 768 + 47. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -4*x**2 - 16*x + 102. Let n be m(-7). Solve n*p + 84 = 4*p for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c**3\/5 - 113*c**2\/5 - 2348*c\/5 - 2236\/5 = 0. What is c?\nAnswer: -86, -26, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 + 1 = f. Suppose -f*m + 0*m = 4. Let y(b) = 13 + 0*b - b**2 + 4*b + b. Let n(z) = -z - 3. Give m*y(p) - 9*n(p).\nAnswer: 2*p**2 - p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 33\/5 of a decade?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 73 and 219?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(-2\/5))**(8\/7)\/(l*l**(-1))**(-1\/14))\/((l**0\/(l*l\/l**(-1)))\/(l*l**(-3\/4)*(l*l**(-3\/4))\/l)) assuming l is positive.\nAnswer: l**(143\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -79\/2565 and 89\/17955.\nAnswer: 17955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -783 - 1617 = -4*c. Calculate the highest common factor of 100 and c.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*f**3 + 5*f**3 + 5*f**3.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s = -4*s + 23. Let x be (105 + -11)*-1*1. Let w = x - -163. What is the greatest common factor of w and s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 109\/170 and -123\/35510?\nAnswer: 603670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -352.18 + -19264.82. Let s = m + 19598.9744. Let v = 18 + s. Round v to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 31.2732 + -0.2732. What is the smallest value in 4, h, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 31\/695952 and 85\/541296.\nAnswer: 4871664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -75*t - 314. Calculate p(-4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a kilometer in meters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 481388 + -13?\nAnswer: 481375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -37 from -3491.1.\nAnswer: -3454.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + 45 = n, -3*v - 5*n + 41 = -v. Let q(s) = -2*s + 24. Let x be q(v). Let g = 10 + x. Calculate the greatest common divisor of g and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.31 and -156.\nAnswer: -48.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 20971 a multiple of 146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 27 - 36. Let h(j) = 8*j + 97. Let z be h(g). Solve -z = -2*r - 19 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -645\/14 greater than -45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20 - 2*r - 19 + 2156*r**2 - 19 + 60 - 401*r**2.\nAnswer: 1755*r**2 - 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = h**2 - 15*h + 41. Calculate the remainder when 141 is divided by f(12).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1.186 + -0.176. Let l = y + -2.01. Which is the third smallest value?  (a) -14  (b) 3  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 41949*b**4 + b**3 + 2*b**2 + 785*b + 8 wrt b.\nAnswer: 503388*b**2 + 6*b + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1732 + 344 + 342 + 348 + 9*a + 345 + 351.\nAnswer: 9*a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-6 - -8)\/(-2)*-2. Let u(f) be the first derivative of q - 6\/7*f - 2\/21*f**3 + 4\/7*f**2. Determine p so that u(p) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -256*b + 0*b**3 + 7*b**3 - 9 + 2.\nAnswer: 7*b**3 - 256*b - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is (-9 + 120\/12)\/(1\/9563) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16 + 22 = -3*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) -3  (b) 0.06  (c) -0.2  (d) -25\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = 2*c**2 - 3*c - 3. Let m be (16\/(-4))\/(8\/(-6)). Give x(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -5777134, -5777130, -5777124, -5777116, -5777106, -5777094?\n\"Answer: v**2 + v - 5777136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is seventeen quarters of a millennium in years?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 4*q**2*u + 5098*q**2 - 7*q*u + 15*q - 5028026*u - 2 wrt q.\nAnswer: 8*q*u + 10196*q - 7*u + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 14756?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-6 + -2 - 3)*4\/(-2). What is the units digit of 294\/77 + 4\/v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -1, 15, 49, 1 in increasing order.\nAnswer: -1, 1, 3, 15, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 6 and 26.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44*w - 29 - 15 = 0. Let u be (-3)\/w - ((-52)\/4 - -11). Solve -k + 3*p - 15 = -u*k, 0 = 5*k - 4*p + 20 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.4 and 3.54.\nAnswer: -1.416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -45.036 - 2.\nAnswer: -47.036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1029643 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 15507 and 1626?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -287786*j*r**3 - 13960*r**3 + 2*r**2 wrt j?\nAnswer: -287786*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 24 - 40. Let r = 54.75 - 54.45. Which is the biggest value?  (a) -2  (b) q  (c) r  (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2583037 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 25164673 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*c**3 + 2982*c**2 - 755712*c + 7261920 = 0. Calculate c.\nAnswer: 10, 492","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0034331506 to five dps.\nAnswer: 0.00343","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 285227 - 285226.000015. Let i = 9 - 10. Let h = y + i. Round h to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11 (base 8) to base 4.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 12*b - 11*b + 18*b + (b + 3*b - 5*b)*(3 + 3 - 5) + (0 - 4 + 1)*(-1 + b + 1).\nAnswer: 15*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2529142?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 5*c = -53, 3*c + 47 = -4*p + 2*c. Let a be p\/7*((-168)\/9)\/4. Suppose a*z = 14*z - 18. Solve 0 = z*o + 2*u + 2*u + 4, -2*o = -2*u - 16 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 49\/33258210 and -29\/6651642?\nAnswer: 33258210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = g**3 - 3*g**2 + g - 9. What is q(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1468 - -1471. Solve -2*m = -f - 7, -1 + 16 = -y*f for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 5*b = 27, 2*g + 3*b - 22 = 13. What is the remainder when 20 is divided by g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1285 - -1836. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from rrwinrircrnch.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 8 and 1208.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5594970 divided by 6.\nAnswer: 932495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = q**3 + 3*q**2 - q + 1. Let d be b(-3). Let s be d\/(-6) + (-8)\/6. Let u(y) = 7*y - 2. Let c(z) = -z. Let r(f) = -5*c(f) - u(f). What is r(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**(-3)*t**(-17\/5) assuming t is positive.\nAnswer: t**(-32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 139.01 - 137. Let q = l - 0.01. Let a = 16 + -15. What is the nearest to q in a, 0, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (700\/(-80))\/(350\/1680)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3023212313 (base 4) to base 3.\nAnswer: 1120100222222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 1312 = 3*r, -172*i - 853 = -2*r - 175*i. Does 2 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) be the second derivative of 39*l**4\/4 - l**3 - 6*l - 3. Solve q(s) = 0.\nAnswer: 0, 2\/39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve s = 6*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2838505*a**4 + 550*a - 1668?\nAnswer: -34062060*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 3553 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 45881 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) be the second derivative of p**5\/20 - p**4 - 31*p**2\/2 - 37*p. What are the prime factors of j(13)?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a gram in milligrams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 + 2 + 0 + (4 - 3 - 3)*(-5 + 3 + 1))*(21*x - 21*x - 2*x**3 + (4 - 4 + 2)*(-3*x**2 + 3*x**2 - 2*x**3) + 0*x**3 + 3*x**3 - x**3).\nAnswer: -32*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 3\/26759645 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -10 divided by 4367376\nAnswer: -5\/2183688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8567795 is divided by 2855871?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 1727 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 486 times 0.0658011?\nAnswer: 31.9793346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) be the third derivative of 397*u**5\/30 - 2*u**4\/3 - u**2 + 172. Find the second derivative of m(t) wrt t.\nAnswer: 1588","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 47466198 is divided by 930.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -53.1 - -53. Let j = -1.1 - -1. Let z = 0.5 + j. Which is the second smallest value?  (a) r  (b) 0.3  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 777.809ms?\nAnswer: 0.777809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 297940483 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 1020 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 58551?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + 0 + (2 - 4) + -2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zrrwfrf. What is prob of sequence zw?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1475)\/(-3825) - 20\/45.\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1278*q + 3953 = -17554 - 24501 for q.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.3, -3, 57\/2, -0.2, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4109*b**6 + 1858*b**6 + 7764*b**6 - 5660*b**2 wrt b.\nAnswer: 661560*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s - q + 10 = 0, -2*s = -0*q - q - 20. Suppose s*v - 1806 = -536. Does 29 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1 + -161452745?\nAnswer: -161452744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -21*i**3 + 89*i**2 + 27*i - 12. Calculate a(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 52 - 34. Suppose 5*x - 5 = n, 5*n + 2*x + 3*x - 35 = 0. Suppose -37 = -4*c + n*a, a = 5*c + 6*a - 35. Calculate the least common multiple of c and k.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 - (-25 - (-13 + 5)) - (-11 - 0).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 2*v**2. Let s(q) be the first derivative of -3*q**2 - 4*q - 314. Give k(s(a)).\nAnswer: 72*a**2 + 96*a + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*z**2 + 17*z**2 + 5*z**2.\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(2) - (sqrt(14)\/(1*sqrt(7)) + sqrt(2)))**2 + 3 - (sqrt(10)\/(5*1*sqrt(5)))**2)*6.\nAnswer: 738\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 213811?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -41210192, -82420386, -123630582, -164840780?\n\"Answer: -k**2 - 41210191*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = x + 21. Suppose 5*o - 5*t - 15 = 0, -4*o + 8*t - 3*t + 15 = 0. Let z be v(o). Let i = 33 - z. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.4, 2.8, -0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 6 - a**2 + 9*a - 2*a + 8 - 2*a. Let b be f(6). Suppose -2 + b = -2*y, -36 = -3*v + 4*y. Does 8 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -426.16 and 144.9.\nAnswer: -281.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -27828, -55551, -83274, -110997, -138720?\nAnswer: -166443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g\/(g\/(g**11*g))*g**(-5))\/(g\/(g\/(g*g*g**(-1\/2)\/g)))**(-49))**1 assuming g is positive.\nAnswer: g**(63\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = 2*p + 3*p. Suppose -32 = -4*z - p*a - 2*a, 0 = -4*a. Suppose -s = 3*s - z. Calculate the least common multiple of s and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (101 - 46 - 163) + 56.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from {l: 1, j: 4, m: 1, k: 2, i: 4, a: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1610602?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of ((-565845)\/10)\/(-7) - (-2)\/(-16)*4.\nAnswer: 59, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = 31*w - 154. Suppose -4*h + 13*h = -8*h + 85. Determine k(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 984060 and 1090560.\nAnswer: 4260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a gram in milligrams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -24 - (36 - (26 + -4)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 156620052?\nAnswer: 2, 3, 4350557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -110\/17*z - 54\/17 - 2\/17*z**3 - 58\/17*z**2.\nAnswer: -2*(z + 1)**2*(z + 27)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -4*g + o, -g - 2 - 5 = -3*o. Let t = 121.1 + -121. What is the closest to -11 in g, t, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*w + 3*h + 70724, 2*w - 5*h - 17304 - 10997 = 0. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 14001 + -202404?\nAnswer: -133403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) be the third derivative of 3*t**4\/8 - 37*t**3\/6 + 1023*t**2. Let z = -12 - -18. Let x be i(z). Solve 4*y + 5 - x = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*3*sqrt(88) + -2*(sqrt(88)*1 - sqrt(88)))\/(-1*(sqrt(128) + -2*sqrt(128)) - sqrt(128) - sqrt(128)*-1*-3).\nAnswer: 3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 0+-10818150860753\nAnswer: -10818150860753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = g + 3. Let l(m) = m + 19. Calculate the remainder when s(4) is divided by l(-15).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + (-8 - -5 - 11).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*((-11)\/88*-56)\/(-5)*-5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4715, -18742, -42077, -74720, -116671, -167930?\nAnswer: -228497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 5929860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = 72*r - 42. Let j be m(7). Suppose -11*g + 220 = -j. What are the prime factors of g?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve b - 15 = 5*i, -2*b + 41 = 4*i + 67 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 40092286?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 12*((-33)\/(-12) + -1). Let r be (7 - 140\/f)*21. Solve 5*g - 3*w = 10, 1 + r = 4*g + w for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1551832 is divided by 194?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 27259.9985 - 1?\nAnswer: 27258.9985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) be the first derivative of -2413*k**3\/3 + 807*k**2 + 930. What is the second derivative of c(r) wrt r?\nAnswer: -4826","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11 = v + 6, -4*a - 4*v - 16 = -0*a for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2323811839.\nAnswer: 83, 27997733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -101422 - 351300?\nAnswer: -453122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**0)**(-5\/7)\/(f**(-1))**(4\/37)*(f\/((f\/(f\/f**(-1)))\/f))**32*(f\/f**(-4))\/f**(-6) assuming f is positive.\nAnswer: f**(3963\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 359 minutes before 3:33 AM?\nAnswer: 9:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1255  (b) 0.166  (c) -101\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = t. Suppose 31 = -v + 39. Let f(s) = -7*s + 12*s + v*s. Give f(o(y)).\nAnswer: 13*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = 2*h - 4*o, h + 3*h + 2*o + 2 = 0. Let k be h - (-1 + -4 - 4). Put k, 4, 1 in descending order.\nAnswer: k, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -21\/2 and -7\/9216.\nAnswer: 9216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 0.027028*-3911\nAnswer: -105.706508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 3*y - 16. Let b(m) = 9*m - 48. Let u(i) = -6*b(i) + 17*w(i). Let h = 0 - 4. Let q(d) = 4*d - 17. Let s(f) = h*q(f) - 5*u(f). Calculate s(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 - (-5 + 27) - -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 85351103?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6063, 20, -5 in descending order.\nAnswer: 20, -5, -6063","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -4*t + 11. Let l be r(4). Let u(d) = 2*d**2 - 6*d - 5. Let p be u(4). Suppose 0 = -4*z + p*z. Sort l, z, -10 in increasing order.\nAnswer: -10, l, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9, -3\/2, 1\/4, -1\/3, 0.28, 11\/5 in decreasing order.\nAnswer: 9, 11\/5, 0.28, 1\/4, -1\/3, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29817*s - 29920*s = -1090 - 1691 for s.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 13 + 4*t**3 + 2*t - 9 + 2*t**2 + 3 - 2 + t. Let z(b) = -4*b**3 - 2*b**2 - 2*b - 4. Give -4*q(v) - 5*z(v).\nAnswer: 4*v**3 + 2*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 128 and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1064337432*l**4 - 231*l - 437679.\nAnswer: 12772049184*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 157*d - 23161083 + 23151192 for d.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:10 PM and 12:28 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = 47*b - 1082. Let l(g) = -66*g + 1623. Let j(n) = 5*l(n) + 7*t(n). Let s(f) = -4*f**2. Determine s(j(z)).\nAnswer: -4*z**2 + 4328*z - 1170724","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 335063146*d**3*f**2*k*s - d**2*f**2*k*s - 3*d**2*f**2*s - 2*d**2*f*k - 8*d**2*s + 15*d*f**2*k - d*f**2*s + 25*d*f*k*s + d*k wrt d.\nAnswer: 2010378876*f**2*k*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.11 in 2\/3, 0, 1917, 5\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000034784349 to 6 dps.\nAnswer: -0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1910 = -5*h - 4*u, -5*h + h - u = -1528. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (3 + (-92)\/42)\/(-11 - 2382\/(-210)) and -133\/648.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -m**2 + 18963*m + 341669. What is a(-18)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(2 + (sqrt(112) + -3 - sqrt(7)) - (sqrt(112) + 0 - 6*sqrt(21)\/sqrt(3))))**2.\nAnswer: -90*sqrt(7) + 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = 5*s + 78. Suppose -4*z - 13 = -5. Let c = z - s. Is c a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 273617744 - -217.\nAnswer: 273617961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 1417898, 2, -0.1 in decreasing order.\nAnswer: 1417898, 2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) be the second derivative of v**5\/10 - 5*v**4\/2 + 21*v**3 - 49*v**2 + 25*v. What is c in q(c) = 0?\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -a + 100 - 22. Let l(n) = 18*n**3 + n**2 + n + 1. Let q be l(-1). Let k = a + q. What are the prime factors of k?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 24 + -140?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand -62 + 34 - 80 - r + (-5*r + 3*r + r)*(-1 + 3 - 3) + 2*r + 0 + 0 - 2*r + r + 0*r.\nAnswer: r - 108","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2152*h + 2148*h + 12 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-16))**(-8) assuming m is positive.\nAnswer: m**128","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 62313289 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13068583?\nAnswer: 11, 277, 4289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 1012313 (base 7) to base 10\nAnswer: 120893","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1211 - -2?\nAnswer: 1213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 6.4 + -6. Let c = -11.556 + 0.056. Let s = c + 12. Put s, x, -4 in ascending order.\nAnswer: -4, x, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/(-13)*((-640)\/(-90))\/(-32)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -55984*r**3 + 368*r**2 - 368*r**2.\nAnswer: -55984*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 38.1285321 rounded to two dps?\nAnswer: 38.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -21\/31 and -44\/985.\nAnswer: 30535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 514*k - 8 + 208*k - 6 - 129*k + 11.\nAnswer: 593*k - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.2 - -0.6. Let r be (35\/42)\/(-5)*-6*1. Which is the fourth smallest value?  (a) m  (b) -3  (c) -2  (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0002871 to 6 dps.\nAnswer: -0.000287","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -15310196*v**3 + 2*v - 3332412 wrt v?\nAnswer: -91861176*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ppz when three letters picked without replacement from {p: 6, z: 2}.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 327.78 to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -420.792, -0.2, -2, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -55913 divided by 17?\nAnswer: -3289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence disu when four letters picked without replacement from uuwdksiw.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -b + 6. Suppose 3 = -c - 3*k, 4*k - 1 = -3*c + 5*k. Let s = c + 6. What is i(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*k + 15 = -1. What is the remainder when 20 is divided by (3 + -1)*k*(-135)\/(-18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 66 to the power of 1\/2, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ppuu. Give prob of sequence puu.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 2 + 2)*(0 + t + 0) + 4*t + 3*t - 3*t + 3 - 3 - 7*t - 2*t - 3*t + 3*t.\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -54, 3\/11, 1\/4, 0.4 in descending order.\nAnswer: 0.4, 3\/11, 1\/4, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 7\/30 - -1\/10. Let p = -0.376 - 0.024. Let l = 2 - 0. Sort q, l, p in increasing order.\nAnswer: p, q, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = f**3 - 80*f**2 + 1403*f + 51. What is t(26)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -0.2  (b) -2  (c) 0.19  (d) -277  (e) -3\/8  (f) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 555, -3\/5, 5, 102.4 in descending order.\nAnswer: 555, 102.4, 5, -3\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Total of 79.8 and 0.1.\nAnswer: 79.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 450735935 to the nearest integer?\nAnswer: 767","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -376*m - 155 = -345*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 102303 + 3?\nAnswer: 102312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -2971809 divided by -6?\nAnswer: 990603\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*a**3\/5 - 27052*a**2\/5 - 7561784*a\/5 - 534023376\/5 = 0.\nAnswer: -13242, -142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -20.02139 to the nearest integer.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*u - 24 = -0*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1056409.\nAnswer: 71, 14879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) be the third derivative of 25*u**8\/168 - 17*u**5\/60 + u**4\/12 - 90*u**2. What is the third derivative of f(b) wrt b?\nAnswer: 3000*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -186943005 divided by 5\nAnswer: -37388601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -50*q**5 + 13290*q**4 + 6869392*q**3 - 1925501880*q**2 + 1537100800*q - 307200000 = 0.\nAnswer: -375, 2\/5, 320","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 31 a factor of 1\/(3\/22080) + 41 + -50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 56 a factor of 3508624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -j. Let t(c) = -84*c**2 + 8*c. Suppose 1 = -2*w + d + 10, 8*w - d = 15. What is w*t(g) + 8*s(g)?\nAnswer: -84*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = 8*y + 10*y - 14*y + 0*y - 35. List the prime factors of i(20).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 50936 is divided by 280?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -4, -0.02, 135, -1\/42, 22, 0.04, 5?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 440256921?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 14600*w**3 - 17885?\nAnswer: 43800*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express (6 + 184 - 49)*(0*s - s - s)*(2 - 3 - 1) in the form d*s + i and give d.\nAnswer: 564","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -h**3*k**2 + 15636*h**2*j - 33*h**2*k**2 - 1915*h*j*k**2 - 3*h*k**2 + 14*j*k**2 - 6*j*k wrt h.\nAnswer: -6*h*k**2 + 31272*j - 66*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = y**3 + 21*y**2 - 12*y + 19. Does 81 divide a(-19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -50507*a**4*t - 3*a**4 + 3*a**3 + 92*a**2*t - 45*a**2 - 2 wrt a.\nAnswer: -1212168*a*t - 72*a + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -4 - 7?\nAnswer: -b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - 13 - 11 = -5*o, 5*f + 4 = -4*o. Suppose o = 3*q + 2*p, -q + 0*p = 2*p. Solve 0 = -q*c + 8 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -8 + 20. Let a = p + 8. Let g = a - -8. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 1 and -2\/68238245 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in x + 4*x**2 - 12*x**2 - x.\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 56 and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.06 + -0.38. Let x = v - 0.06. Let u = x - -0.4988. Round u to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f**(-5)*f\/f**1*(f\/(f**(-1\/2)*f*f)*f)**17 assuming f is positive.\nAnswer: f**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 395, 4660, 16243, 38804, 76003, 131500, 208955, 312028?\n\"Answer: 610*o**3 - o**2 - 2*o - 212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-6*b + 6*b + 9*b)*(-2 + 2 + 1) to the form y + k*b and give k.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*t = -102 + 30 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 175 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (18 + 8 - 25 - (5 + 9)) + -8.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 259*m**2 - 119*m**2 - 95*m**2.\nAnswer: 45*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 3998609 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i = -0*i - 4*s - 22, -5*i = -3*s - 42. Solve -i = -c - c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2011*-2.3.\nAnswer: -4625.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 399851 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 7040898 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: Let l = 11913355\/279 - 42702. Let j = l - 75\/31. What is the common denominator of j and ((-837)\/24)\/((-15)\/(-4))?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*p + 3*b - 96, 4*p + b + 47 + 23 = 0. Let d = 23 + p. What is the third derivative of -7*h**5 + 5*h**2 - 2*h**d - 14*h**2 wrt h?\nAnswer: -540*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) be the second derivative of o**3\/6 + 13*o**2\/2 - 6*o. Let q be x(-11). Solve -5*r + q*r = 15 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**2\/y)\/(y**(-4)\/y))\/(((y*y*(y*y**(2\/5)\/y*y*y)\/y)\/y)\/y)**(5\/12)*((y\/y**(-3\/7))\/(y**(-2)\/y))**(-7\/3) assuming y is positive.\nAnswer: y**(-59\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.402 + -0.102. Let s = 39\/40 - 3\/5. What is the nearest to 1 in s, d, -0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18\/5 of a week in minutes?\nAnswer: 36288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4396)\/12586 + (-6)\/93.\nAnswer: -12\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.98 times 22?\nAnswer: 65.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 495 is divided by 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*k - 45 + 99 = 0 for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 6*s + 9. Suppose i = 6*i - 90. What is the remainder when b(4) is divided by i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -5509.1 - -5507. Put -19, -0.5, -0.2, w in ascending order.\nAnswer: -19, w, -0.5, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (19\/(-38))\/(16\/736)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 379107117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 254968598 to the nearest integer?\nAnswer: 15968","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -g - 28 = -15*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 35173 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 y(q) = 14*q**4 + 24*q**3 - 12*q**2 - 26*q - 8. Let p(h) = -26*h**4 - 48*h**3 + 25*h**2 + 53*h + 16. Let d(c) = 2*p(c) + 5*y(c). Factor d(o).\nAnswer: 2*(o - 1)*(o + 1)*(3*o + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4214*q + 0 + 8521*q + 2.\nAnswer: 4307*q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(2\/13))**(-11\/5))**(-1\/46)*(f**(-2\/15)\/(f\/(f**(-2\/11)\/f)))\/(f**(-7)*f\/(((f\/f**(-1\/6)*f)\/f)\/f)) assuming f is positive.\nAnswer: f**(76151\/19734)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -c**2 + 5*c + 4. Let q be v(6). Let j be (-2)\/(-2)*q - -8. Let y = 128 + -122. Calculate the highest common factor of y and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -11?  (a) -0.1  (b) 8  (c) -4  (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 16\/(-6) - ((-20188)\/980 + (-288)\/(-30))?\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find y, given that -75*y**2 + 304*y - 16 = 0.\nAnswer: 4\/75, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = v - 3*v - 92. Let w = -31 - v. Let b = w + -13. Solve b*z - z = -2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1184 and 448?\nAnswer: 16576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 22944 and 1632.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -2526, -10123, -22784, -40509, -63298, -91151, -124068?\n\"Answer: -2532*y**2 - y + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 31 - -186. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -32 - -39. What is the lowest common multiple of 9 and j?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 0*k - 21 = 5*v, 2*k - 4*v - 22 = 0. Let g(x) = 2*x - 2. Let z be (-3 - -2)*10\/(-2). Calculate the smallest common multiple of g(z) and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**1\/d)**(-45)\/(d*d**(-3)*d\/d**(1\/6)) assuming d is positive.\nAnswer: d**(7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2583a37 (base 12) to base 8.\nAnswer: 34137013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + 1 + 0 + -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -71\/3026 and -99\/17266?\nAnswer: 293522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert -46765 (base 14) to base 16.\nAnswer: -29e45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 107599 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*l**4 - 2*l**4 + 0*l**4)*(-2 + 0 + 1) - 6*l**3 + 5*l**4 + 4*l**4 - 6*l**4.\nAnswer: 2*l**4 - 6*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -t - 1. Let v(x) = 3*x + 1. Let f(r) = 5*u(r) + 2*v(r). Determine f(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -14 (base 5) to base 12.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3956234?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1622425.\nAnswer: 5, 7, 73, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p = -26 - 2. Let o be (-170)\/p - 6\/42. Suppose 9*v - 12*v + o = 0. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(7) - -2*sqrt(7)*-3) + (sqrt(7) - (sqrt(252) + 3*sqrt(252) + sqrt(7))))**2 - (-1*(-2 + sqrt(7)) - ((-3*sqrt(84))\/sqrt(12))**2).\nAnswer: sqrt(7) + 5948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 3\/1 - (3 - -1). Let w = 64 - 49. Does 10 divide p*w*(-17 + 13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 16613968 to the nearest integer?\nAnswer: 4076","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c\/(c*c\/c**(3\/2)))\/c*c)**(7\/5)\/(c**(3\/4)\/c*c**(-3\/17)) assuming c is positive.\nAnswer: c**(383\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (18\/8)\/((-1)\/(-8)). Suppose -4*m + 10 = -o. What are the prime factors of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 62*y**2 + 9*y - 28. Let b(l) = -31*l**2 - 4*l + 13. What is -13*b(i) - 6*w(i)?\nAnswer: 31*i**2 - 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -w**3 + 3*w**2 + w + 1. Let j(d) = -d**3 + 3*d**2 + d + 2. Let x(n) = -5*j(n) + 6*m(n). Suppose 5*i + 10 = 25. Calculate x(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine b so that -2*b**4 - 2\/9*b**5 + 16\/3 + 52\/9*b - 50\/9*b**3 - 10\/3*b**2 = 0.\nAnswer: -4, -3, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.1 + 0. Let m = 23.025 - 0.025. Let x = m + -25. Which is the closest to x?  (a) -0.5  (b) 5  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -737135543 rounded to the nearest one million?\nAnswer: -737000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = k - 2*k. Does 3 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 5*k + k**2 + k**2 + 3*k)*(2*k - 8*k - 9*k).\nAnswer: -30*k**3 + 30*k**2 - 60*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d = -d. Let z = 47.1 - 45. Let m = z - 2. Sort d, -0.1, m in decreasing order.\nAnswer: m, d, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m - 46 + 51 = 0. Sort -2, -3, m in decreasing order.\nAnswer: m, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 67\/206 + 1081\/2060. Let a(m) be the second derivative of 4*m**2 + 0*m**3 + 30*m + 0 - v*m**5 + 0*m**4. What is the first derivative of a(g) wrt g?\nAnswer: -51*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 3 + (-13 - -21 - 12). What is the fourth biggest value in -4, 0, 0.05, y, 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (q - q + 2*q**2)*(q**3 + 0*q**3 - 4*q**3) + (-q + 5*q + 0*q)*(96*q**4 - 122*q**4 - 87*q**4).\nAnswer: -458*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -4 - (-20)\/(1 + 4). Suppose 2*m - 24 = -4*h, a - 6 = -h + 3*m. Is (h\/4)\/((-36)\/(-3144)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -139\/2022 and -97\/60.\nAnswer: 20220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 13449, 13429, 13395, 13347, 13285, 13209, 13119?\nAnswer: 13015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.45 + -7.45. Let s = 77.9 - 71. Let o = g + s. What is the smallest value in 0, o, 1\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -162*c + 156*c + 18. Let x = 26 + -18. Calculate the smallest common multiple of x and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4166.56485 minutes in weeks?\nAnswer: 0.4133496875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*n - 12 = 2*c, -32 = -6*n - 5*c + 2 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve a**4\/12 - 2689*a**3\/12 - 14857*a**2\/6 + 3148*a + 5400 = 0 for a.\nAnswer: -12, -1, 2, 2700","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -7 - -7. Suppose t = 2*f + 2*f - 64. Suppose -2*p - 5*i = -131 - 196, -5*i - 25 = 0. What is the greatest common divisor of f and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 4*n - 55*n - 50*n + 18*n. Let t(f) = -2*f**2. Give r(t(s)).\nAnswer: 166*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*r - 92*g + 97*g, r + 5*g = 16 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 15*s**4*z + 15*s**3*z**2 - 95*s**2*z**2 - 2*z**2 wrt s.\nAnswer: 360*s*z + 90*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is z in 24*z**3 + 1059572*z**2 - 1236196*z + 176600 = 0?\nAnswer: -44150, 1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 0 - 5*t - 9*t**2 + 8*t**2 + 1. Suppose 10*p - 5*p = -140. Let k = 23 + p. Give j(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - 658 = -2*i + 3243, 9765 = 5*i + 5*c. Suppose -q - 2461 = -5*x + 2*q, i = 4*x + 3*q. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + 1*sqrt(1053) + (-2 + sqrt(468)*1)**2.\nAnswer: -15*sqrt(13) + 475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -u**2 - 16*u - 60.\nAnswer: -(u + 6)*(u + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) be the third derivative of f**8\/960 - f**5\/120 - 3*f**4\/8 - 6*f**2. Let b(i) be the second derivative of p(i). What is the derivative of b(k) wrt k?\nAnswer: 21*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -62, 1424, 6022, 15298, 30818, 54148?\n\"Answer: 261*a**3 - 10*a**2 - 311*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -12*g + 56. Let v be k(14). Let x = v - -299. Does 17 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1134 divided by -1134.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*f**3 + 1 + 2*f**3 - 2)*(31*f**2 + 20*f**2 - 2*f**2).\nAnswer: 98*f**5 - 49*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 33444.\nAnswer: 2, 3, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 5996387\/471279 - -8\/16251. Is -0.1 > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -33033131 (base 5) in base 2?\nAnswer: -1000101001110010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -7 + 7 - 2*g + 0*g. Let v(m) = m**2 + 7*m + 2. Let x be v(-7). Let d(r) = 34 - 11 - 3 - x*r. Give t(d(f)).\nAnswer: 4*f - 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 77*m - 12 - 139 - 311 = 0 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -33170*w**4 + 51990*w wrt w?\nAnswer: -398040*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) be the third derivative of -u**4\/8 + 2*u**3\/3 + 19*u**2. Calculate l(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 29 - 29.4. Let q = 922\/7 + -132. What is the biggest value in u, q, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -55\/282 and -13\/846.\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 396751 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 124786109 and 25438?\nAnswer: 12719","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s = -4*s + 5*w + 15, -5*s - 4*w = 12. Suppose 4*z + 8 = -s*z + 2*o, -5*o = -20. Solve z = j + r + 4, 0 = 3*j + r - 3*r + 7 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 91096197 is divided by 850?\nAnswer: 847","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is -18452 at least as big as -18410?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13394782.\nAnswer: 2, 41, 163351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c*c**0)\/c)\/(c\/((c*c*c*(c\/(c*c**(3\/4)))\/c*c)\/c))*(((c*c\/(c\/c**(-2\/5)))\/c)\/c)**(2\/43))**(4\/13) assuming c is positive.\nAnswer: c**(159\/2795)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:43 PM and 4:04 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find q, given that q**2\/3 + 4544897*q\/3 = 0.\nAnswer: -4544897, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 65a9 (base 11) to base 2.\nAnswer: 10001000000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 720712 is divided by 360343?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 99\/120 + ((-4992)\/4485 - (-8)\/(-92))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = 17*u + 16. Determine z(-5).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is b in -4*b**2 + 55071940*b = 0?\nAnswer: 0, 13767985","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence co when two letters picked without replacement from {n: 1, o: 5, c: 7}?\nAnswer: 35\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 2291459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out -137806657 - 7.1828.\nAnswer: -137806664.1828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (5 - 4)\/((-2)\/14). Let d = i + 8. What is the units digit of 9*(d + 4\/6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3 - (25 + -13 + 19)) + 13.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-9613 - -9613) + (-2 - (2 - 4) - (28 + -2)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10560*l + 10545*l = 21420*l + 25200 for l.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -40.9891 rounded to zero decimal places?\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 2 - (1 + -1) - 4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -8 - -11. Let k = -2 - -12. Calculate the remainder when k is divided by n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 300\/(-198) + 1 + 4\/12. Sort -5, t, -0.3 in descending order.\nAnswer: t, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1232 - -31?\nAnswer: 1323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 167683333 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.284918 less than 1023339.2?\nAnswer: 1023339.484918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 139\/54 and -71\/326766?\nAnswer: 2940894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Determine r so that 5*r**5 - 182*r**4 + 247*r**3 - 70*r**2 = 0.\nAnswer: 0, 2\/5, 1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) be the third derivative of -t**6\/360 + t**5\/30 + t**4\/8 - 7*t**3\/2 + 64*t**2. Let z(r) be the first derivative of f(r). Give z(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-one sixths of a century in months?\nAnswer: 8200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -5*j**3 + 267*j**2 - 2473*j + 17831. Determine l(44).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 11312 + 19?\nAnswer: 11331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*r**2 + 2*r**2 - 9*r**2 - 3*r**2 + 5*r**2 + 3*r**3.\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 2*z**2 + 2*z - 5. Let f be o(2). Suppose a - f = -2*t, 21 = 3*t + 5*a - 0*a. Solve 2*w + 2 = -t*c + 6*w, 4*c = 4*w for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (2644\/(-10))\/(4\/(-20)). Is (-2)\/(-4) + z\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 - 3 = -t. Suppose -4*d - 23 = -5*w + 26, -t*d + 40 = 5*w. Let j = 15 - w. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 132 is divided by 70?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -y - y**3 + 22 + 8*y**2 - 46 + 27. Give c(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -17*j + 2*j - 6*j as d*j + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25 = 5*j - 75. Let x = j - 13. Suppose -1 + x = 3*a. Solve 0 = -2*v - 3*v + 5, -7 = -a*m - v for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*x + 1580 + 8*x - 1581 - 250*x**2 - 15*x.\nAnswer: -250*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:45 AM and 12:46 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qbq when three letters picked without replacement from {f: 2, q: 2, g: 3, b: 4}.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zzx when three letters picked without replacement from {z: 9, x: 2}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a**3 + 138*a**2 - 147*a - 282 = 0 for a.\nAnswer: -47, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 2281 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 16*3*2\/12. Let o = -114 - -184. What is the remainder when o is divided by (-3190)\/(-176) - 1\/v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -11581 by 11581.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/4?  (a) -26  (b) 0.2  (c) -1\/4  (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = 4*d - 16. Let r = -2307 + 2295. Determine i(r).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 2.8480833 microseconds?\nAnswer: 0.00000000079113425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 3*y**3 - 10*y**2 - 18*y - 4. Let b(d) = 9*d**3 - 30*d**2 - 53*d - 11. Let t(g) = -4*b(g) + 11*v(g). Find the second derivative of t(h) wrt h.\nAnswer: -18*h + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) be the first derivative of 29\/2*t**2 + 0*t**3 - 4 - 9\/4*t**4 + 0*t. What is the second derivative of d(z) wrt z?\nAnswer: -54*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from {s: 6, j: 12}?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 46105 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5357192067.\nAnswer: 3, 163, 719, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 17 + -9. Let h = m - 1. Calculate the highest common divisor of 1 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -12360, -12412, -12480, -12570, -12688, -12840, -13032, -13270?\n\"Answer: -t**3 - 2*t**2 - 39*t - 12318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z = 15*z + 726. Let j = 71 + z. Solve j*q - 2 = 3*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 225*c - 286*c + 33155 = 843*c + 4227 for c.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -197 - -45. Let q = n - -152.00133. Round q to 4 decimal places.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/v**(-3\/5))\/(v*v**(-2))*(v*v*v\/v**6*v)\/(v**(-4\/9)\/v) assuming v is positive.\nAnswer: v**(92\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + sqrt(539) + (sqrt(539) - (1 + sqrt(539))) + sqrt(539)*4 + -3)**2 - (sqrt(55) + sqrt(1375)*1)\/(sqrt(55)\/(sqrt(33)\/sqrt(3) + sqrt(11))).\nAnswer: 58*sqrt(11) + 13476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 29, 3\/25, 3\/8, -4\/11, 171?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express -6*l**2 + 6*l**2 - 5*l**2 + (-3*l + l + 3*l)*(18*l + 143 - 143) as o*l**2 + g*l + r and give o.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) be the third derivative of t**5\/360 + 23*t**4\/18 + 61*t**3\/12 + 7*t**2 - 17. Let l(f) = 0. Calculate f.\nAnswer: -183, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 127052522771 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*f**2 + 0*f**2 + 1 - 2*f**3)*(-1 + 24 + 1) as s*f**2 + c*f + d + u*f**3 and give u.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -6516, -4288, 6680, 26388, 54836?\nAnswer: 92024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*a + 3*s + 183, -3*a - 185 = -6*a + 2*s. Calculate the highest common divisor of 27 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:24 AM and 9:18 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from acjjaaccajjaajajaj.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(637) + 1)**2*-5.\nAnswer: -3190 - 70*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h\/((h\/(h*h*h**(2\/7)\/h*h))\/h*h))\/h)**(-16)\/(h*h*h*h**4*h)**5 assuming h is positive.\nAnswer: h**(-424\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 12 and 106.\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 s and 1 e when three letters picked without replacement from {e: 1, s: 2, q: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.35571 * 0.064.\nAnswer: 0.02276544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -5, 0, -4, 93 in increasing order.\nAnswer: -5, -4, -2, 0, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -27 plus -0.358401?\nAnswer: -27.358401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 72 + -70. Suppose 16 = -4*x + 2*b - l, -3*b = -15. Let v(r) = 2*r**2 + 2*r + 2. Give v(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -42*q - 147 - 63 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*w + 4*z + 11, -145 + 141 = -4*z. Solve -4*g = 4*c, -w*c + g - 3*g = -3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 64697 is divided by 719?\nAnswer: 706","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = 189*k - 13. Let g(m) = -5*m**3 - 3*m**2 - 3*m - 1. Suppose 0 = -3*s + 2*n + 1, -4*n = 4*s - n + 10. Let a be g(s). Is c(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 480873273?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:58 AM and 11:18 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 4*v + 3*b + 588 = 0, 2*b = -4*v - 776. Suppose -s = j - 0*s + 14, -5*j = 4*s + 74. Does 11 divide v\/j - (-1)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*x**2 + 0*x**2 + 2*x**2)*(3 + 3*x**3 - 3 + (0*x + x - 2*x)*(-x**2 + 0 + 0) + 3*x**3 + 3*x**3 - 4*x**3 + 4*x**3 + x**3 - 3*x**3).\nAnswer: 32*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 392837151, 392837150, 392837149?\n\"Answer: -i + 392837152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = d**3 - 3*d**2 - 4*d. Let z be w(3). Let x be (2\/3)\/(z\/(-54) - 0). Let l = x + 13. Which is smaller: l or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 437 a factor of 190532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 222, 195, 166, 135, 102, 67, 30?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 4 - 4. Let g = 5 - c. Solve -g*z + 15 = -3*i, 3*i - z = 8*i + 25 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 150*d**3 - 156*d**3 + d + d as h*d + r*d**3 + w + o*d**2 and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-1)*h**10\/h)**(-10)\/((h**(-2\/5))**(-5\/8)\/((h**(-2\/13)*h)\/(h*h\/h**(2\/7)))) assuming h is positive.\nAnswer: h**(-29527\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 23865060566 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 38977656073 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) be the first derivative of -5*y**2\/2 + 5*y - 1. Let b(m) = -3*m + 3. Give 8*b(k) - 5*s(k).\nAnswer: k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 77 a factor of 30954?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2\/6637 + 869387\/199110. Find the common denominator of -65\/21 and b.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (7 + (-360)\/51)*(1 - 2)\/(-2)\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 8 + 8 + 303*l - 4 - 302*l. Let c be u(-8). Calculate the highest common factor of c and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -10\/71 or -16676?\nAnswer: -16676","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) be the second derivative of 0*n**4 + n + 2\/3*n**3 + 0 - 1\/5*n**5 + 1\/15*n**6 - n**2. Let m(x) = 0. Calculate x.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 151482 to the power of 1\/3, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 142 and 9727?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 6\/3 + -3 + -2. Let p be 1*(16\/4 - b). Suppose p*s + 78 = 218. Is s a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 82469 - 51955. Is 146 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1511 is divided by 278?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -102 + 82. Let z = -19 - n. Let i(c) = 2*c + 8 - 15 + 5 + z. Determine i(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2 - 3 + 3)*(-5*t - t + 4*t) + 0*t + 0*t + 5*t)*(34*t**2 - 34*t**2 + 6*t**3) + 4*t**4 - 1224*t - 6*t**2 - 1229*t + 2454*t.\nAnswer: 58*t**4 - 6*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.06 and -0.216262815.\nAnswer: -0.0129757689","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7*t**4 + t**3 + 11*t - 2*t**2 - 7*t - 5*t - 3*t**2 to the form z*t + q + s*t**2 + k*t**3 + l*t**4 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven quarters of a millisecond in microseconds?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (sqrt(75))**2 - 6*1*sqrt(3).\nAnswer: -6*sqrt(3) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 387553244?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1834 + 2268. Calculate the lowest common multiple of 62 and m.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-20)\/6*6\/5. Let y = 56 + -57. Put y, 3, u in ascending order.\nAnswer: u, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8449 (base 13) in base 3?\nAnswer: -221010021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -305a (base 16) to base 11.\nAnswer: -9333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = -13*p + 21. Find the second derivative of -4*h + 22*h**3 + 5*h + 3*h**p wrt h.\nAnswer: 150*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from ztrtrrttztzztrtrrrz.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*u**5 + 0 + 0 + (-u**3 + 2*u - 2*u)*(-2*u**2 - 2 + 2) + 79*u**5 - 181*u**5 - 135*u**5 - 141*u**5.\nAnswer: -373*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 11410, 11558, 11706?\n\"Answer: 148*p + 11262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -91\/4 and -125\/7848?\nAnswer: 7848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 7 - 4)*(12*i**2 - 4*i - 3*i**2 - 7*i**2).\nAnswer: 2*i**2 - 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3148886 + 739*n**3 - 3148886.\nAnswer: 739*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: Do 20\/2103 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 3, d: 9}. What is prob of picking 3 n?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*l + 2142 = -1813. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (12\/9)\/((-24)\/(-27)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10 + (0 - (3 - -2 - -5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*((sqrt(33)\/sqrt(3) - sqrt(11) - sqrt(11)) + -1))**2.\nAnswer: 8*sqrt(11) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -7*h**2. Let f(n) = -24104*n. What is s(f(k))?\nAnswer: -4067019712*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -53790 divided by -66?\nAnswer: 815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = 6*a - 3*a. Does 13 divide (-1)\/a*(36 + 29)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 30*z**5 - 202*z**2 wrt z?\nAnswer: 1800*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.444666948 and 36214.\nAnswer: 36214.444666948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*i - 16 = 7*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**2)**(-46)*t*t**1*t*t**(-6))\/((t**(5\/3)*t*t**5)\/(t*t**1)**24) assuming t is positive.\nAnswer: t**(-164\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -5628775.94 to the nearest one hundred thousand.\nAnswer: -5600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pucz when four letters picked without replacement from {z: 1, p: 3, u: 4, g: 7, c: 1}.\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-50)\/(-35))\/(2\/14). Suppose 6*z - 5*z = n. Is 2 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 2614, 5238, 7858, 10474, 13086?\n\"Answer: -2*a**2 + 2630*a - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(20)\/sqrt(90) + 5 + ((-3*sqrt(128))**2 + sqrt(128) + sqrt(128))*-2.\nAnswer: -2299 - 95*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -2, -25.53, 1.3, -5?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 4 + -3.7. Let a = -0.4 + -0.3. Let t = g - a. Is -2\/3 at least t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one halves of a day in hours?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -1682217 divided by 5?\nAnswer: -1682217\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = 8*z**2 + 49*z + 30. Calculate n(-7).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 213108313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (0 - 1)\/(-3 - -4). Suppose -f = 4*f + 70. Let g be (-32)\/21 + 2\/f. Is z at most as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 571908602?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-6)\/(-4)*6\/9. Suppose 0*l + 3*l + 3 = 0. Is -2 - (-33 + l + n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b\/(b*b**(-1\/4)\/b*b*b))**10)**(-33))**(-28) assuming b is positive.\nAnswer: b**(-6930)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 15 and 1286107500?\nAnswer: 1286107500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -214 + -300?\nAnswer: -1014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = 20*m + 635. Give h(-32).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) be the third derivative of -5\/3*o**3 + 1\/120*o**6 + 1\/24*o**4 + 0*o + 0 - 10*o**2 - 1\/60*o**5. Let x = 4 + -4. Determine y(x).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 12) to base 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 4 from 0.837954.\nAnswer: -3.162046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u + 18*d - 22*d = 126, -3 = d. Let w(y) = -2*y**2 + 5*y + 7. Let c be w(5). Let r = c - -37. Calculate the highest common divisor of r and u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine o, given that 3*o**4 - 1620*o**3 + 242001*o**2 - 6033516*o - 20322540 = 0.\nAnswer: -3, 35, 254","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 3  (b) 5  (c) 146\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = y**3 - 4*y**2 + 2*y + 3. Let b be f(3). Let m(l) = -3*l - 2 + 1 + b. Let i(h) = -h**3 - 6*h**2 + 8*h + 6. Let a be i(-7). Determine m(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -124006*l + 17. Let r be y(-6). Suppose 0 = -14*w + 114053 - r. Round w to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/6?  (a) -4  (b) -1  (c) -2\/813\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -73 - 263 = -84*r. Let q(k) be the third derivative of -16*k**2 + 0*k + 0 - 1\/8*k**r + 2*k**3. What is the derivative of q(f) wrt f?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -262, 688, 3260, 8264, 16510, 28808, 45968?\n\"Answer: 135*z**3 + z**2 + 2*z - 400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 35 and 107798300.\nAnswer: 754588100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3\/9)\/(55\/90 - (-60)\/(-40))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*u - 640 = -5*v - 2*u, v - 128 = 4*u. Is (1 - v)*(0 + -1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2597 take away 0.3087?\nAnswer: 2596.6913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:57 PM and 3:59 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (12 - 1 - (-267 - -288) - -16) + -25?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 1*-0.0984056\nAnswer: -0.0984056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-188)\/72 - -3)*(-28)\/((-392)\/42). Let l be (-19)\/24 - 2\/4. Let c = o + l. What is the third biggest value in -1, 1, c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (6\/44)\/((-3)\/4)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 785111?\nAnswer: 17, 46183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 0.13+-410231\nAnswer: -410230.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-7)\/(21\/12) - -7. Suppose -4*w + 4*i = y*i - 597, 0 = -w + i + 150. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1092375 to the nearest one thousand.\nAnswer: -1092000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -8533967, -17068065, -25602163, -34136261?\nAnswer: -42670359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/3, -2\/509, -2, 0.5, 3, -1 in ascending order.\nAnswer: -2, -1, -2\/509, 1\/3, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/4?  (a) -1\/7  (b) -61  (c) -4\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1*6\/4*4. Calculate the highest common divisor of t and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 651 and 658 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -238*b*i*s + 3*b*s + 6*b + i**4*s - 3 wrt i.\nAnswer: -238*b*s + 4*i**3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -321636 by -23.\nAnswer: 321636\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 10.4 + -10.7. Which is the smallest value?  (a) q  (b) 2  (c) -120\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -1\/85, 5\/4, 3, 5, 1182 in increasing order.\nAnswer: -5, -1\/85, 5\/4, 3, 5, 1182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2 + 2201201131?\nAnswer: 2201201123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3410915 is divided by 15026.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -1011 (base 3) to base 4\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2\/5*p**2 - 1367858\/5 + 3308\/5*p.\nAnswer: -2*(p - 827)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 6 + 1)*(2 - 1 + 1)*(1 + 2 + 1)*(-2 - 4 + 4)*(2*o + 5 - 5).\nAnswer: 64*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -o**2*t**3 - 121*o**2*t**2 - o*t**6 - 494*o*t**3 + o*t**2 - 2*o + 9*t**2 wrt t.\nAnswer: -6*o**2 - 120*o*t**3 - 2964*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12 is divided by ((-32)\/80)\/((-2)\/40)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 329, 654, 977, 1298, 1617?\n\"Answer: -b**2 + 328*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -3*u**2 + 8*u - 5. Let b(y) = 16*y**2 - 39*y + 24. Let l(m) = -2*b(m) - 11*w(m). Calculate the smallest common multiple of 2 and l(10).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 13*o - 263 - 465. Suppose -2*u = 4*t - o, -3*u - t = t - 92. Calculate the greatest common factor of u and 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 525*w - 2*b = 532*w + 1217724, 0 = -2*w + b - 347918. What is w rounded to the nearest 10000?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 1033, 4161, 9381, 16699, 26121, 37653, 51301?\n\"Answer: m**3 + 1040*m**2 + m - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 403 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -9 + 13. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 184 = -59*w + 597 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (0 - 1668)\/3 - -1. Let k = 1260 + t. List the prime factors of k\/3 + (-4 - -3).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1106.0624 to 0 decimal places.\nAnswer: 1106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 5 = t, -3*t + 7*t = -4*s. Suppose s*y = 41 + 124. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 826122942?\nAnswer: 2, 3, 29, 131, 4027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 37266 a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 37890 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 67\/4920 and 149\/24.\nAnswer: 4920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - 3 - 112\/(-14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 896 and 447616.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 39\/176575 and 37\/98.\nAnswer: 2472050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 5101098378?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1279766*s**5 - 337*s**2 + 372.\nAnswer: 76785960*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 3*i = 0. Let k(v) = v**3 + v**2 - v - 1. Let a be k(0). Is 3 + a + i + 2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1839 divided by 3?\nAnswer: -613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2, -3, 2, -52, -8.8, 0.2, -1?\nAnswer: -8.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -p**3 - 4*p**2 - 5*p + 24. List the prime factors of h(-8).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*x = -10*x - 270. Suppose 3*f = 4*r + 136, 5*f = 4*r + 40 + 200. Calculate the remainder when f is divided by x.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2876 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 2 l when three letters picked without replacement from {g: 2, r: 1, s: 4, m: 6, b: 2, l: 3}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -965750 divided by 25?\nAnswer: -38630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -421.7 + 428. Round w to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -471*f = -428*f - 387 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -13*h**4 - 2819365*h**3*r**2 - h*r**2 - 54*h + 2*r**2 + 106923 wrt h?\nAnswer: -156*h**2 - 16916190*h*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m - 6 = 2*y, 0*y - 5*y = -5*m + 15. Suppose -20 = -4*h - v, -3*h + v - 2*v + 16 = m. Solve 5*t + 6 + h = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2805\/8 - -13971\/40. What is the common denominator of -61\/136 and a?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3766821?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -9 - 127*g - 81 + 126*g - g**5 - 14*g**4 wrt g?\nAnswer: -20*g**3 - 168*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -820.3508 rounded to zero dps?\nAnswer: -820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y\/y**(3\/7)*y\/y**30*(((y*y**(-8))\/y)\/y)**(17\/7) assuming y is positive.\nAnswer: y**(-352\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 0.4, 5, 4\/19, 4, -2, 1387 in decreasing order.\nAnswer: 1387, 5, 4, 0.4, 4\/19, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l - 16 = -4*p, -8 = -4*l - 3*p + 9. Suppose 0 = 3*x - l*v - 2 + 19, v - 13 = 3*x. Which is greater: x or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*f + 4*l + 2189 - 2185, -5*l = 3*f + 9 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 12*c - 4*c + 2*c**3 - 3*c - 2*c**4 - 4*c**3 - 4*c**2 to the form p*c**4 + o*c + b*c**3 + l + k*c**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 106*f - 110 = 95*f. Calculate the greatest common factor of f and 72.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -6*m - 90. Let h(j) = -5. Let r(w) = -b(w) + 18*h(w). Let k(d) = -46*d. Determine k(r(a)).\nAnswer: -276*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 80 + -64. Let r be (-2)\/(-4) + p\/((-2464)\/105). Which is the second biggest value?  (a) 3\/52  (b) 0.1  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = 128*g**3 + 5*g - 5. Let y(j) = j**3 - j + 1. Determine -a(p) - 5*y(p).\nAnswer: -133*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 11 - 1717*u**2 + 1484*u**2 - 9 to w*u + l + a*u**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) be the second derivative of o**7\/360 + 175*o**4\/12 + 16*o. Let m(i) be the third derivative of l(i). Let p(w) = 2*w + 1 - 1. Determine m(p(a)).\nAnswer: 28*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express l**4 - 84*l + 16 + l**4 - 5*l**4 + 2*l**3 + l**4 + 85*l in the form r*l**4 + x*l**3 + q*l**2 + z + n*l and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h - 2*x - 206 = -220, -3 = 3*x. Solve 138 = -h*u + 154 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -2*g**2 - 12*g + 5. Let s be z(-6). Let i = 4 - 0. Which is smaller: s or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {x: 2, n: 4, y: 5}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 0  (b) 1\/7  (c) -0.1  (d) 1\/110  (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 149 + -1039\/7. Let r(w) = -w**2 - 5*w + 7. Let z(o) = o - 1. Let c(i) = r(i) + 5*z(i). Let y be c(2). What is the closest to 0.1 in y, g, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2279 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 32080 and 2881987?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*z = -2*p + 3*z - 26, 0 = -2*z - 6. Let b = p + 14. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 135730571*o*y**2 + 4*y**2 + 33004554*y wrt o?\nAnswer: 135730571*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 5902, 7290, 8676, 10060, 11442, 12822?\n\"Answer: -b**2 + 1391*b + 4512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find g such that -g**2\/4 + 594517*g\/2 - 4756072 = 0.\nAnswer: 16, 1189018","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1530 + 1784. What are the prime factors of q?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 140.2 - -31.8. Let f = w - 171.9. Which is the closest to f?  (a) 1  (b) 3  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -4, -9, 4, 190 in descending order.\nAnswer: 190, 4, -2, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000000816 rounded to 7 decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 9\/(-6)*2\/(-1). Let d be 1 - (4\/2 - k). Sort d, -3, 4 in increasing order.\nAnswer: -3, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:37 PM and 8:20 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express -83*t + 108913 - 108913 + (-4 - 1 + 2)*(-2 + 2 + 4*t) in the form a*t + u and give a.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/(j**0\/j*j)*j*j)\/((j**(-3\/4)*j)\/j) assuming j is positive.\nAnswer: j**(15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = u - 20. Let b(w) = 2*w - 40. Give 6*b(a) - 11*k(a).\nAnswer: a - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -190395, -190353, -190283, -190179, -190035, -189845, -189603?\nAnswer: -189303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -511 - -514. Let v = 0.04 + 4.96. Sort v, 2, g.\nAnswer: 2, g, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence st when two letters picked without replacement from jjjjjjjjjggtsgjgss.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n - 6 = 218. Let d be 27\/(-45) + n\/(-10). Let g(p) = 5*p - 21. Calculate the smallest common multiple of 2 and g(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 46\/59 + -4911\/472. Let q = b - -47\/5. What is the common denominator of (-2 - -3) + ((-170)\/8 - -2) and q?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000036942 rounded to six decimal places?\nAnswer: 0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nnipiinmpininppmii. What is prob of picking 1 n and 1 m?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 611 + 3\/9*6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a and 1 l when two letters picked without replacement from {a: 2, l: 1, j: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*o - v = 9, 3*o - 3*v + 933 = 924 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -80217 + 124616. What is the hundreds digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of (2 + -2 + 1)*144\/8 and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -k**3 - 2*k**2 - k - 4. Let l be h(-2). Let b(t) be the third derivative of 46*t**5\/15 - 5*t**4\/24 - t**3\/2 + 8*t**2. Is b(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -10*a**3 - a - 2. Let x be n(-1). Solve 6 = -5*t - 3*f, -t - 3*t = f + x for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 3*r**2 + 807*r + 5590. What is d(-7)?\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -4.025 - -0.025. Let c be -2 + 1 + -1 + 3. What is the smallest value in c, 3, a, -2\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*b + 0*b + 4*b - b.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -i**3 + 2*i**2 - 2*i + 4. Let n be z(2). Let a be 0*(n + (-4)\/(-8)). Solve q - 3 - 1 = a for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10816098 divided by 1?\nAnswer: 10816098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-1197738)\/(-414) - 8\/92*1. Let k = b - 92591\/32. Which is bigger: k or -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -181 + 180. Which is greater: b or 205?\nAnswer: 205","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3876892009 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c = -r - 14, 6 - 2 = 3*c - 4*r. Suppose 0 = s + c*f - 16, -1 - 3 = -f. Let o be -3 - s*3\/(-9). Sort o, -4, -6.\nAnswer: -6, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1747497 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -4\/145 + -5\/29. Which is the nearest to 2\/3?  (a) v  (b) 0.1  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-320)\/96)\/(4\/3)*-2*51631 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = f. Let b(g) be the first derivative of 6*g**2 + 19. Give q(b(p)).\nAnswer: 12*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1\/28  (b) -2\/7  (c) -0.1  (d) -13757\/36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14725*z + 52668 = 14728*z. Is z a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 39 * 0.09\nAnswer: 3.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand 21*g - 3*g - g + (-g + 8*g - 6*g - 7)*(0 - 1 + 3).\nAnswer: 19*g - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -3668 divided by -2\nAnswer: 1834","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-24)\/60)\/((-6)\/75). Suppose t - 18 = 4*q, 28 = 3*t + t - c*q. Which is bigger: t or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6*z**3 - 4*z**3 - 4*z**3 + (-2*z - z + 2*z)*(2*z**2 - 2*z**2 + z**2) + (-2*z + 8 - 2*z**2 - 11 - 4*z)*(-3*z - 2*z + 0*z).\nAnswer: 7*z**3 + 30*z**2 + 15*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4?  (a) -1  (b) -2\/3  (c) -0.5  (d) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((8\/5)\/(-2))\/(99\/312510). Let x = d - -2478. Let p = 52 + x. Do 6 and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 4*x + 4)*(x**3 + x**3 - 4*x**3) + (0*x**4 + 0*x**4 - x**4)*(-2 + 1 + 0) - 4*x**4 + 2*x**4 + 4*x**4.\nAnswer: -5*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o - 6 = 0, -4*k + 3*o + 411 = k. Let c = 74 - k. Let i(h) = -h**2 - 7*h + 5. What is i(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -2*s**2 - s - 1. Let q(k) = -5*k**2 - 3*k - 4. Let g(z) = 8*h(z) - 3*q(z). Let j = 85 + -81. Determine g(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*b + b + 4*b)*(-20*b + 71*b + 46*b).\nAnswer: 97*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = 330*u**2. Let c(o) = 9*o**2. What is k(c(s))?\nAnswer: 26730*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 544 and 96?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*z**3 - z**3 + 0*z**3 + (1710*z - 2548*z + 1286*z)*(-5*z**2 + 3*z**2 + z**2) as c*z**2 + j*z + o*z**3 + r and give o.\nAnswer: -447","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 562, 2, 18, 4, 0, 1 in decreasing order.\nAnswer: 562, 18, 4, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 19970, 43130, 66290, 89450?\n\"Answer: 23160*b - 3190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2846929?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 28693*w**3 + 4*w**2 - 371*w wrt w.\nAnswer: 172158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -h**3 + 12*h**2 - 12*h + 6. Let r be i(11). Let a be (-5 - -6)*1\/r. Which is greater: a or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) be the second derivative of b**5\/20 - 3*b**4\/4 + 11*b**2 + 24*b. What is the tens digit of u(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j - 7*j + 198 = 0. Suppose 9*a + j = 10*a. Let l = 3 + 5. Calculate the least common multiple of a and l.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 60 + 16. Suppose -25 = 5*y, y - 26 = 5*t - r. What is the third derivative of -6*f**3 + t*f**2 + 8*f**3 + 6*f**3 wrt f?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -262669030 to the nearest one million.\nAnswer: -263000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 639c (base 13) in base 10?\nAnswer: 13818","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 6*l**2 + 34*l - 1. Is f(11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*k - 5*h - 5, -4*k - 5*h = -3*k + 5 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = 5*n - 8. What is g(-8)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2376224407.\nAnswer: 337, 7051111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 7178, 28821, 64892, 115391?\n\"Answer: 7214*p**2 + p - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 + 11 = 2*p. Let w(f) = 35*f - 19 + 10 + 6 - p*f. Let m(d) = 1. Let g(c) = -2*m(c) + w(c). Find the first derivative of g(a) wrt a.\nAnswer: 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 3*y + 7. Let f(z) = -11*z - 18. What is -7*b(h) - 2*f(h)?\nAnswer: h - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -113530758 + -4?\nAnswer: -113530762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 9 = 3*n - 3, 4*g = -5*n + 34. Let s be 4\/(-6) - (-604)\/g. What is s rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 22 and 103570?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 247910820?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 423825.1g?\nAnswer: 423825100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 3 - 276b?\nAnswer: -2768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 - -1) + -8 + 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 20 - 15. Sort a, -4, 3 in increasing order.\nAnswer: -4, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 451 (base 11) to base 9.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 85\/(-15) - 1\/3. Let i = 1 + 9. Calculate the lowest common multiple of i and (-74)\/b + 2\/(-6).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 5\/(-7)*(52 + -59). Solve 0 = -5*r - i*r - 2*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s = -u - 2*u + 13, -s - 5*u = 0. Let r be (-4)\/2 - (-1 - -2). Sort 5, r, s.\nAnswer: s, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 34 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -15.8?  (a) 1.5  (b) 2\/5  (c) -1  (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-59 + 5 - -2) + -2. Let u be n*42\/35*10\/(-9). Calculate the highest common factor of u and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 26378476 <= 26378475?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -t**2 + 29*t + 56. Let y be i(34). Is -117 bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 0 - 89231*k - 42361*k.\nAnswer: -131592*k","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:07 PM and 5:56 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 1593682.8 months in millennia?\nAnswer: 132.8069","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 146647 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-3)\/r**(7\/3))\/(r\/(r*r*r**(-17)))**(-2) assuming r is positive.\nAnswer: r**(80\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + 6 - 2 - -7 - 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.0099 + 107.0901. Let r = v + -107. Which is the second biggest value?  (a) -1\/8  (b) r  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-189)\/(-70))\/9*(-5760)\/(-108)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ezj when three letters picked without replacement from ezjzjzueeezetzuz?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -5  (b) -2\/11  (c) -2\/397\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 3, v: 7, m: 7, z: 3}. What is prob of sequence vvmk?\nAnswer: 49\/6460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 1424 divide 7087248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -124 + -15534?\nAnswer: -20102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) be the second derivative of u**4\/12 + u**3\/6 - u**2 + 981*u. Let q be (-4)\/(-6) - 34\/6. What is z(q)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -2608*o + 2659. Give g(1).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Let o = -12 - -16. Suppose -3*c = -2*c + 6. Let r be ((-1)\/14)\/((-1)\/c). Sort 2, o, r.\nAnswer: r, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-112)\/42*(-3)\/2. Solve 0 = w*j - 8 - 4, 3*a - 9 = -j for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 9 and 4636937?\nAnswer: 41732433","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 1 = 2868\/12055?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:00 AM and 7:53 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -11.1 + 11. Let o = -1\/143 + -25\/143. Let y = -0.1 + -0.1. Which is the third smallest value?  (a) y  (b) l  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/3380107 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor 24*y**4 - 38028228*y**3 - 57042378*y**2 - 28521195*y - 4753533.\nAnswer: 3*(y - 1584511)*(2*y + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**23)**39 assuming r is positive.\nAnswer: r**897","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**29*w*(w\/w**(1\/10))\/w)**(-3\/19) assuming w is positive.\nAnswer: w**(-897\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/2 in 3\/5, -2\/13, -134?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 5*v - 2*j, -v + 14 = -0*v + 2*j. Calculate the remainder when v is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) be the first derivative of -s**2\/2 + 14*s + 45. Suppose -4*f - y = -4*y - 34, -42 = -4*f - y. What is g(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 62, 0.2 in descending order.\nAnswer: 62, 0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = 5*z + 2. Let q be v(-2). Let i = -2 - q. What is the remainder when 11 is divided by i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4382361?\nAnswer: 3, 486929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let -885*p**3 + 2650*p**2 - 1755*p - 10 = 0. What is p?\nAnswer: -1\/177, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2015979*o**2 + 1246962*o + 1 wrt o?\nAnswer: 4031958","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/5 in 2182, 3\/8, 6?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 194151559, 194151561, 194151563, 194151565?\nAnswer: 194151567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q\/q**(-1\/2))**(37\/3))**(3\/38))**29 assuming q is positive.\nAnswer: q**(3219\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (32*f - 96*f + 0*f)*(2*f**3 + 0*f**3 - f**3)*(2*f - 3*f + 2*f).\nAnswer: -64*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in eleven halves of a millimeter?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = 16 - 42. Let y(l) = -l**2 + 3*l**3 - 4*l**3 + l**2 - 14*l**2 + 15 - 13*l. Let n be y(v). Solve -5*u = 5*q + 25, -3*q = -3*u + 7*u + n for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 561?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 4*p - 67199 = 0, -p = -a + 96441 - 29233. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 119281125 divided by 2.\nAnswer: 119281125\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l + l + 4 = 0. What is the remainder when (78 - 3) + -1 + l is divided by (13\/((-104)\/168))\/(-1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 27902780 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -381.899 to the nearest integer.\nAnswer: -382","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kzo when three letters picked without replacement from {x: 8, o: 4, z: 1, k: 5}.\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 22, 1, 601313 in increasing order.\nAnswer: 1, 22, 601313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 22.13216 centuries to decades.\nAnswer: 221.3216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 39623 - 39623 + a - 2*a. Let x(y) = y**2 + 2013*y - 2. Determine n(x(z)).\nAnswer: -z**2 - 2013*z + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 - v**2 + 5)*(1 + 4 - 3)*(12*v**3 - 6*v**3 + 22*v**3).\nAnswer: -56*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 40\/(-15)*6\/(-8). Suppose l*n + 3*n = 5. Let v(g) = -3*g**3 - 3 - 4 + 6. Determine v(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (9\/(-1))\/(9\/(-6)). Suppose 4 = -3*f - i*b + b, 4*f + 5*b - 3 = 0. Let n = 13 + f. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -838399\/6 or -139732?\nAnswer: -838399\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 236 is divided by 67?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5760, -3421, -1082, 1257, 3596, 5935?\nAnswer: 8274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -l - 0*l + 5. Suppose -t - 8 = -l*t. Suppose 2*s = -2*x + 12 + t, 3*s + 28 = 4*x. Is x a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*l**3 + 2*l**3 - 4*l**3 + 1003*l - 1003*l.\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -7*i**2*w**2 - 5*i**2*w - 12*i*w**2 wrt i.\nAnswer: -14*w**2 - 10*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -10\/13*a - 2\/13*a**3 - 8\/13*a**2 - 4\/13.\nAnswer: -2*(a + 1)**2*(a + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -22.21  (b) -3  (c) -1  (d) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 229 a factor of 126755326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -3*w + 2. Let x(r) = 6*r + 4*r + 0*r - w*r. Let n(z) = z**2. Give n(x(s)).\nAnswer: 64*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 143101432 (base 5) in base 13?\nAnswer: 204ba4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -151169 + 280952. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 2*l - 5. Suppose 2*z + 32 = 3*b, -6*b + 2*z + 22 = -4*b. Let t be f(b). Suppose 3*a - t = -6. Solve 0 = -2*d + 8, k + 5 + 2 = a*d for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 4, g: 1, y: 3, n: 5, e: 2, t: 5}. Give prob of sequence eeg.\nAnswer: 1\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = 6*x + 11. Let o(n) = 3*n + 5. Calculate 13*o(m) - 6*u(m).\nAnswer: 3*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 8140?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*i**3 - 41110*i**2 + 49056000*i + 158745600000.\nAnswer: 5*(i - 4800)**2*(i + 1378)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*c = 3*d + 2, 1222*d - 6 = -4*c + 1220*d for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 912 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve x**4 + 11*x**3 - 61*x**2 - 11*x + 60 = 0.\nAnswer: -15, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 60 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 114 - 114331132?\nAnswer: -114331013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 629232 to the nearest 10000.\nAnswer: 630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = a**2 + 7*a - 4. Suppose 4*r + 6 = -26. What are the prime factors of g(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 21811 and 31.\nAnswer: 676141","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-4)\/(-112)*4 + 114\/(-14). Calculate the remainder when 87 is divided by (v\/(-3))\/2*(-891)\/(-66).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 4 + 1 = 0. Solve 4*x - 3 - 13 = -2*a, 0 = g*x + 4*a - 12 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 316505 divided by 63301?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -q**3 - 5*q**2 - 3*q. Let p(v) = -v + 0*v - 2 + 4 - 2*v**2. Let d be p(-2). Let j be m(d). Put 3, 1, j in increasing order.\nAnswer: j, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 466 = 4*k - 5*v, 5*k + 5*v - v - 562 = 0. Suppose 5*d - 4 - 1 = 0, 2*d + k = b. Let l = b - 69. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3972415?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hzki when four letters picked without replacement from {z: 1, f: 1, h: 1, k: 1, i: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0 + 0. Let p = 20.7 + -21. What is the closest to 3 in p, -0.4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -10, -8, -6, -4, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*t**2 + 4*t**2 + t**4 + 1 - t**4 + 2*t**4 + t**4 + (-2*t**2 + 3 - 3)*(8*t**2 - 46 + 46).\nAnswer: -13*t**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -t - 1221*i + 98 = -1252*i, 2*t - 132 = -2*i for t.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1027.2 - 1027.4. Let j be -2*(0 + (-2)\/4). Which is the nearest to j?  (a) -5  (b) -3  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1401589 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 5241877559 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2\/((-304)\/156 - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*4*sqrt(204))\/(sqrt(192)*4) + -2.\nAnswer: -2 - sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 27\/17885707 and 43\/154.\nAnswer: 393485554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.010342 to three decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + -1 + sqrt(363) + sqrt(12)\/sqrt(4)*6)**2 + -5 + -1*sqrt(3)*3*4*-3*-2.\nAnswer: -174*sqrt(3) + 871","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5*sqrt(420)*-1)\/(sqrt(110)\/(sqrt(44) + sqrt(11))))\/(-3*sqrt(24) - 4*sqrt(864)).\nAnswer: 5*sqrt(7)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5 - 3 + 2)*(-1 - 2 + 4)*(-j + 2 - 2 + (21*j - 10*j + 8*j)*(-3 + 0 + 6)) to the form u*j + o and give u.\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -338 divided by -566?\nAnswer: 169\/283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = 164*r + 41. Determine o(-1).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 542.7 + -543. Which is the nearest to -2?  (a) 0.5  (b) -2\/11  (c) -0.11  (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z = 4*z + 6. Let u = z + 6. Suppose -2*m + 0*p - p = -13, p - 1 = u. Let s(i) = -i**2 + 5*i + 7. Calculate s(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2698359 * -6.\nAnswer: -16190154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 115 = 12*r - 5*u, 544*u - 534*u = -3*r + 40 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -22*z + 1. Calculate q(-2).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4233 + 4180. Sort y, -2, -4, -5, 5 in decreasing order.\nAnswer: 5, -2, -4, -5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*f = 7*f + 20. Let u = 24 + f. Let y(d) = 6*d**2 - 9. Is y(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 102*u = 107*u, -4*v = -4*u - 8 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 12 - 7. Suppose 0 = -h*v + 81 + 164. Suppose 2*w - v = -3*q + 88, 3*q + 5*w - 149 = 0. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.3889 to one dp.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 86144982?\nAnswer: 2, 3, 7, 11, 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3)\/((-5)\/(40\/12))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 5 - -56a4?\nAnswer: 56a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3613*103.8.\nAnswer: 375029.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -74 + 74 - 8*p + (0 - 4 + 2)*(-2*p - 2*p + 8*p) to the form f*p + q and give f.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4?  (a) -9  (b) 3  (c) -25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-9864)\/(-16029))\/(9\/(-39)*(-2)\/21)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 772105 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:56 PM and 4:12 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0004335 to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -1481, -3706, -5919, -8114, -10285, -12426, -14531, -16594?\n\"Answer: a**3 - 2232*a + 750","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 9219483161 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: Solve x = 3*z - 155 + 160, 3*z = -x + 5 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.8406171 to 4 decimal places.\nAnswer: 0.8406","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 4*a**2 + 4*a + 3. Let x(h) = 0*h**2 + 0*h**2 + 41620 - 41621 + h**3. Determine -v(p) - x(p).\nAnswer: -p**3 - 4*p**2 - 4*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6 = 3*a - 5*b - 2, 1 = a - 4*b for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = u**2 - 2*u - 38. Let y be x(4). Let q be 8 - (-23)\/(115\/y). Solve 3*o + q - 5 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -34417*m - 64026*m + 68841*m to the form l + g*m and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 112, 2, 1, -10, -3, 56 in decreasing order.\nAnswer: 112, 56, 2, 1, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 86222146?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(3\/14)\/q*q)\/q**6 assuming q is positive.\nAnswer: q**(-81\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 24 - 19. Let v = 6.9 - -0.3. Let a = 0.2 - v. Sort f, a, -2\/7 in increasing order.\nAnswer: a, -2\/7, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*w + 238*a = 235*a - 18, -4*w = a - 8 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m, 1 a, and 1 g when three letters picked without replacement from usmaalsssglaaga?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3\/((-23)\/((-736)\/(-1440)))*-8.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 44398 - 577176\/13. What is the closest to -3\/2 in 2, z, 11\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -151, 5, -47.\nAnswer: -151, -47, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 30 + -30. Suppose l = -5*h + 3*u + 831 + 421, 0 = -4*u - 16. List the prime factors of h.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -q - 65 - 58 = -127, 2*a + 117*q - 364 = 0 for a.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 17121 - 17113. Solve 5*x = 4*x - 3*l - 6, 4*l + z = -4*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -2*o - 0. Suppose -y - 2*j + 9 = 0, -6*y + 3*j + 14 = -2*y. Suppose o*d - 11 = -g, y*d - 4 = 6. Sort -0.1, g, -7.\nAnswer: -7, -0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -202 (base 6) to base 10.\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*i = 17*i - 30 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 34db5 + 705?\nAnswer: 355ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-24)\/10*(-40)\/(-12). Let h be ((-3)\/(-6))\/((-22)\/i). Let f = -2 - -17\/7. Which is the biggest value?  (a) f  (b) -2\/5  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12281711 to the power of 1\/5, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -69 - 586 = -5*n. Suppose -q + n = 42. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.3, 40, -701, 2\/7, -3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l = -0*l + m + 1, 0 = -3*l - 5*m + 34. Let r be (l\/18)\/(6\/8). What is the biggest value in 5, -2\/5, r?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (28\/(-132))\/(-7)*13\/((-260)\/(-40))?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -21, 3, -1029.\nAnswer: -1029, -21, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 + 6 + 4*c)*(2 + 9 + 2).\nAnswer: 52*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -4 + 431?\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -398398 (base 14) to base 11\nAnswer: -1134029","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 383.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 92769?\nAnswer: 3, 17, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 v and 1 b when three letters picked without replacement from {d: 1, h: 1, b: 2, v: 2, p: 1, n: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 877431.2 milligrams in kilograms?\nAnswer: 0.8774312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0.257 times -4\nAnswer: -1.028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*u**5 - 573*u**4 - 226*u**3 - 3*u**2 - 149298 wrt u.\nAnswer: 120*u**2 - 13752*u - 1356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 52 at least as big as 817?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*m - 193*o = -194*o - 13, -5*o - 23 = m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + sqrt(21)\/sqrt(3) - 1*sqrt(28) - sqrt(28)\/(sqrt(324)\/sqrt(9)).\nAnswer: -4*sqrt(7)\/3 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (0 + sqrt(700) + -1 + -1 - (-4 + sqrt(700) + (sqrt(700) - (1 + sqrt(700))) + -5))**2 + -3.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = 3*n. Let o be (-14)\/4*(3 - 77). Let g(d) = -d - o + 259. Calculate g(s(p)).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor w**3\/5 - 4196*w**2\/5 + 1049043*w\/5.\nAnswer: w*(w - 3929)*(w - 267)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 51256\/11 - 4663. Let s = -2740 - -99. Let h = s - -13259\/5. What is the common denominator of a and h?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y**2 + 398765280*y - 13251145711123200 = 0. Calculate y.\nAnswer: 66460880","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 337019*f**3 - 168649*f**3 - 168402*f**3.\nAnswer: -32*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) be the first derivative of -x**4\/4 - 8*x**3\/3 - 15*x**2\/2 - 15*x - 33. Let a be h(-6). Solve -25 = -a*z - 19 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11469763 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + 0 + 8 + -8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 265 minutes after 10:51 AM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1418644 is divided by 77?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 192588*f*r**2 + 3*r**2 - 106*r wrt f?\nAnswer: 192588*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - 2 = -3. Is (-1014)\/(-8) - m\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 475912?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -5 and -460061?\nAnswer: 2300305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1631*t = -1641*t - 130 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - 4055607 = 2*w, -w - 7*i - 470794 - 1557055 = 0. Round w to the nearest ten thousand.\nAnswer: -2030000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ccc when three letters picked without replacement from {b: 12, c: 3}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -3250555 (base 8) to base 16\nAnswer: -d516d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -10*s**3 + 3*s**2 + 6*s - 6. Let v(o) = -28*o**3 + 9*o**2 + 17*o - 17. Calculate -17*h(d) + 6*v(d).\nAnswer: 2*d**3 + 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = 2*l + 12. Let n(y) = -4*y - 31. Let u(m) = 1. Let q(s) = n(s) + 6*u(s). Let f(z) = 13*h(z) + 6*q(z). Let c be f(7). Solve -2*k - 2*k - c = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -67*d + 357210 = 7*d + 115*d. What is the highest common divisor of d and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2 or 989\/783?\nAnswer: 989\/783","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36 = -5*a + 121. Calculate the greatest common factor of a and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*d**2 + d**2 + 5*d**2)*(396 + 451 - 849 + 39*d - 15*d**2).\nAnswer: -30*d**4 + 78*d**3 - 4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1495 + 12?\nAnswer: -1483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*x - 34 = 5*a, 0 = 193513*a - 193512*a + 5*x + 64 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q = -3*q + 16. Suppose -3*z - 3 = -q*z. Solve z*k = 1 - 16 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-9 - (1 + -18)) + (10 - 9 - 5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.1 - -1.3. Let u = 1.24 - a. Let q = -0.96 - u. What is the nearest to q in -0.5, 0.2, 1\/10?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -214, -219, -226, -235?\nAnswer: -246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -14 + 14.5. Let t = -0.7 + 0.2. Let z = 0 + t. Put z, w, 1\/4 in decreasing order.\nAnswer: w, 1\/4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5677015 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express 7*n**3 - 8*n**2 - 6*n**2 - 14*n**2 + 27*n**2 - 5*n in the form c*n**2 + v*n**3 + t + j*n and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 0.1203842 tonnes?\nAnswer: 120384.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -2*n**3 - 15*n**2 - 34*n - 1. Let q be j(-3). Let p be ((-15)\/(-6))\/((-2)\/(-4)). Solve -p*s + q = -s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/(q*q*q\/(q**(-17)\/q))*q*q\/q**11)\/(q\/q**(1\/8)*q*q**4))**(-2\/7) assuming q is positive.\nAnswer: q**(279\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 5311 - 3096. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -74 - -141. Let c be (-6)\/1*66\/12. Let z = c + d. Does 12 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -3, 1.5, -1\/4, 0.05, 6?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**(-38)\/(r*r**(2\/19)) assuming r is positive.\nAnswer: r**(-743\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1451\/7 + 209. Let x = 127\/70 - t. What is the second smallest value in 0, x, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -52237311 times 0.5?\nAnswer: -26118655.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 - (0 - (-7 + (-5 - -7)))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3580 = -2*d - 8*d. Let m be d\/12*-4*6615\/98. Suppose m = 8*b + b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 316*s**2 - 135*s - 890. List the prime factors of k(-7).\nAnswer: 41, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -x**2 + 23. Let i(k) = -5*k**2 + 116. Let h(n) = 11*d(n) - 2*i(n). Let b(z) = z**2. Calculate h(b(w)).\nAnswer: -w**4 + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -43 - -130\/3. Let u = 41166 + -247003\/6. What is the smallest value in 4, u, p?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -4 + 4 + 7 + -1. Which is the nearest to q?  (a) -0.5  (b) -2  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(833) + (sqrt(833) - 1*sqrt(833)))*-3 - 6*(sqrt(833) + 1))*4)**2 - -6*(6*(sqrt(833) + 0) + 0).\nAnswer: 12348*sqrt(17) + 1080144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6819 is divided by 58?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 1004*r - 810*r - 194 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -40*n**3 + 867289*n**2 - 1577547*n + 105 wrt n.\nAnswer: -240*n + 1734578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 850857 is divided by 445?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in seventy-three fifths of a meter?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4.6 + 107.4. Let j = 110.9 - x. What is j rounded to one decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose v + 1 = 0, 1 = 3*w + 4*v - 4. Suppose -7*g = -w*g - 4. Let k be -5*2\/(-4) - 2. Which is smaller: k or g?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -14 + -230?\nAnswer: -244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 20 - 18. Suppose -4*m - 906 = -l. Let c = m + 423. Is 21 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-6)\/27 + 634\/18. Let k = -20 + a. What is the remainder when 42 is divided by k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/24)\/((8\/(-12))\/(-2))*12?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 2806*f**3 + 184*f. Let j(t) be the first derivative of -23*t**4\/2 - 3*t**2\/2 - 1936. Give 184*j(s) + 3*l(s).\nAnswer: -46*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.78 - -0.775. Let n = p - 1.995. Let t = 8 + -6. Which is the closest to n?  (a) 0.05  (b) -1\/3  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = a**2 + 2*a - 3. Let q be y(-4). Let d = 382 + -382. Suppose l - q*l + 372 = d. What is the remainder when l is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = 2*r**2 - 3. Let a(d) = 2*d**2 - 4. Let b(g) = 5*a(g) - 4*w(g). Differentiate b(h) wrt h.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen quarters of a week in hours?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -16271*g + 211511. What is v(13)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 31\/58110 and -3\/520.\nAnswer: 232440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2446*o**2 - 2291*o**2 - 27*o**3 + 225*o**3 wrt o?\nAnswer: 1188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000498324795 to six dps.\nAnswer: -0.000498","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 29488 and 304?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0002662 rounded to five decimal places?\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 2912713 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 648 + -651. Sort 31, 3, k, -5 in increasing order.\nAnswer: -5, k, 3, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z = -5*v + 12309994, 613467 + 1848545 = v + 4*z. Round v to the nearest one hundred thousand.\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tzt when three letters picked without replacement from {k: 8, t: 8, z: 1}.\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(-1 + -2 + ((sqrt(612) - (sqrt(612) + 0))*5 + -3*(sqrt(612)*-1 - sqrt(612)))**2).\nAnswer: 88116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (1\/2)\/((-1)\/(-6)). Suppose 0*r - 2*r + 49 = i*p, -24 = -r - p. Let f = r + -13. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -48.89 + -1.11. Let c = f - -42.8. Let a = 7 + c. Put a, -3\/7, -0.5 in decreasing order.\nAnswer: a, -3\/7, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 27097570*u**2 + 89*u - 73710.\nAnswer: 54195140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 15400307?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1128106 is divided by 356.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**(2\/77)\/j)**(-43)*((j**(-7\/2)*j)\/j)\/j**(-7))**(35\/2) assuming j is positive.\nAnswer: j**(34945\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 5\/3, -2\/11, 1\/2, 0, -30126 in descending order.\nAnswer: 4, 5\/3, 1\/2, 0, -2\/11, -30126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 8657 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from yyyyyyyyy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/3)\/(4\/(-18))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 10}. What is prob of picking 4 i?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 4\/(-14) + 258\/21. Let a(y) = -3 + 1 + 6 - 3. Let m(p) = -10*p**2 - 4*p - 12. Let b(k) = v*a(k) + m(k). What is h in b(h) = 0?\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i - 4*j = 2565, 5*j + 0 + 25 = 0. Let d = 1384 + i. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) be the first derivative of u**4\/4 + 4*u**3\/3 + 5*u**2\/2 + 2*u - 2. Factor c(b).\nAnswer: (b + 1)**2*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7285\/112 greater than or equal to 64?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -16274 - 130454?\nAnswer: -146750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q - 37 = 59. Let s = -25 + q. Which is bigger: 2\/41 or s?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1 + -4 - (-85 + 1). Suppose -4*s - y = -441. Suppose -3*v = 3*h - 0*h - s, -4*v + 122 = 3*h. Calculate the greatest common divisor of v and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 55402441.\nAnswer: 29, 1910429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of y**5 + 884*y**4 + 133*y**2 - 103182*y - 3 wrt y.\nAnswer: 20*y**3 + 10608*y**2 + 266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4*1*(-64)\/(118272\/(-594)).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*m - 4*n - 212, 3*m + 0*n - 162 = 2*n. Let j = -3 - -6. Suppose j*f + z = 71, 3*f + 2*z = 14 + m. Is 9 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((u**(-1\/21)\/u*u)\/u*(u\/u**(-7\/3))\/u)\/(u*u*u**(-1\/5)*u*u**(-26)\/u))**18 assuming u is positive.\nAnswer: u**(16056\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express (-898*l + 1704*l + 2986*l)*(-2 + 2 + 2*l) in the form g + h*l + f*l**2 and give f.\nAnswer: 7584","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Determine r, given that 5*r**4 - 14765*r**3 + 10743675*r**2 + 231875345*r + 221116900 = 0.\nAnswer: -20, -1, 1487","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express u**2 + 2*u**2 + 43 - 5*u - 19*u - 21 - 21 as h*u**2 + g*u + w and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -2*c + 1. Let n be q(-3). Let h(r) = r**3 + 8*r**2 + 11*r - 12. Let p be h(-5). Let o(u) = -1 - 420*u + p - u**2 + 428*u. What is o(n)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35 = -6*p + p. Solve 2*s - p = -9 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(130)\/(sqrt(30)\/sqrt(3)) + -2)**2 - 5*(-1*sqrt(65) + sqrt(65))\/sqrt(5).\nAnswer: -4*sqrt(13) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3290312 by 118.\nAnswer: 27884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/(m*m**(-6\/7)\/m)*m*m\/m**(-8\/19))\/(m**(-21)*m*m**38) assuming m is positive.\nAnswer: m**(-1825\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 3 + ((-7190999559)\/(-153) - (-6)\/(-51)). What is c rounded to the nearest 1000000?\nAnswer: 47000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 658804300?\nAnswer: 2, 5, 7, 11, 67, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/4)\/(-8 - 125\/(-15)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 - 122*y + 105375*y**2 + 186202*y**2 + 119*y.\nAnswer: 291577*y**2 - 3*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -7  (b) -12087  (c) -8\/17  (d) 1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -4918 divided by 2459\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 124, 247, 444, 709, 1036, 1419?\n\"Answer: -s**3 + 43*s**2 + s + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 48.6197611148018 - -673874241.3795448851982. Let m = -673875019 + k. Let i = m + 729. Round i to 5 decimal places.\nAnswer: -0.00069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 392560 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zk when two letters picked without replacement from {u: 1, g: 1, z: 3, k: 1, e: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand -s**5 - 3*s**2 + s**2 + s**2 - s**5 + s**5 + 2*s**5 + (0*s**5 + 0*s**5 + s**5)*(-3 - 5 + 5).\nAnswer: -2*s**5 - s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12171*d + 5244*d + 6940*d.\nAnswer: 13*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**(-4)\/d)\/(d\/(d*d\/d**(-1\/5))))**(22\/5)\/((d\/d**(-8))\/d*d**(-2\/11))**(2\/47) assuming d is positive.\nAnswer: d**(-220406\/12925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 44, -43, -4, -5, 2 in descending order.\nAnswer: 44, 2, -4, -5, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*n + n + 30 = 0. Solve -h - h = -n for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*(c\/c**14)\/c)\/(c*c**1)*c**(-7)*c*c*c*c**(-11) assuming c is positive.\nAnswer: c**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -x**2 - 3*x + 4. Let a be g(-4). Let k(r) = r**3 + r**2 + 20. What is the tens digit of k(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 275, 565, 865, 1181, 1519, 1885, 2285, 2725?\n\"Answer: l**3 - l**2 + 286*l - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find q, given that -2*q**3\/9 - 26*q**2\/9 + 22*q\/3 + 10 = 0.\nAnswer: -15, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 4*v**2 + 3*v + 5. Let j(n) = 9*n**2 + 6*n + 10. Determine 13*f(w) - 6*j(w).\nAnswer: -2*w**2 + 3*w + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 10248529177 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 34 divide 1000604496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 11.82 rounded to zero dps?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -5 - -19. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 38 minutes after 8:45 PM?\nAnswer: 9:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 19561 in -0.5, -0.4, 2\/11, -3, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-1)\/((3\/2)\/(-3)). Let n = 71889 + -71892. Put x, n, -4, -5 in descending order.\nAnswer: x, n, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 31797 and 19555.\nAnswer: 621790335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 0 - 1cb81?\nAnswer: -1cb81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) be the third derivative of 0*v + 0 + 1\/24*v**4 - 1\/60*v**5 - 1\/2*v**3 + 75*v**2. Let p = 0 - 0. Give g(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2943*l**2 - 751*l**2 + 1 - 1 - 733*l**2 - 737*l**2 - 738*l**2.\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 53 and 3392.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = f**3 - 6*f**2 - 7*f. Let l be v(7). Let c(x) be the second derivative of 6*x + 0*x**2 + l - 1\/75*x**6 + 0*x**3 + 1\/25*x**5 - 1\/30*x**4. Factor c(n).\nAnswer: -2*n**2*(n - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wtrgwoqrg. What is prob of sequence trgr?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c + 4*j = -c + 4, 0 = 3*j + 6. Suppose 0 = c*o - 79 - 26. List the prime factors of o.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 (base 7) in base 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = 30447*v + 243577. Determine m(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + 4*c + 4*o = 31, -2*o = -4*c + 4. Suppose -c*d = d - 12. Suppose 2*v - 5*a - 27 = 0, 6*a - d = -3*v + a. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3)\/(-4))\/(7\/(-14) + -1).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -97 + 109 = -3*w, -5*y = 5*w for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -6*q**2 + q + 1. Let p be a(1). Calculate the remainder when 26 is divided by (-2)\/3*6*p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -202 + 250. Suppose p - 30 = 2*k. Put -1, k, -4 in ascending order.\nAnswer: -4, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -3*a**3*p + 26*a**2*p - a**2 + 6*p + 10 wrt a?\nAnswer: -9*a**2*p + 52*a*p - 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j - 34 = h, 2*j - 2*h - 17 = -5*h. Suppose 3*y = -2 - j. Let c(v) = v + 7. Calculate c(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 79125095.\nAnswer: 5, 7, 2260717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -9*g + 21. Calculate the common denominator of -61\/69 and z(5).\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 59 - 1. Let s(j) = 66*j - 339. Let x be s(6). Which is greater: f or x?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11 + -1 + 28 + 10\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -38.5767 to the nearest integer.\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*n**4 - 8*n**3 - 12*n**2 + 32*n - 16.\nAnswer: 4*(n - 2)*(n - 1)**2*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -21023203 - 31?\nAnswer: -21023234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dd when two letters picked without replacement from ddddggggddgdgggddg?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 10*v**2 - 2*v - 2. Let h be f(4). Let d = 217 - h. Suppose 3*n - d = -4*y, 64 - 5 = 3*n - 4*y. What is the remainder when 60 is divided by n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 309 minutes after 8:44 PM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -16 - -33. Suppose 2 = 5*q - 14*h + 10*h, 0 = -3*q + h - 3. Let y = 67 + q. What is the remainder when y is divided by d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2568*v + 155*v + 1428*v)*(3*v - 3*v + v) + (-v + 5*v - 3*v)*(-v + 3*v - 3*v) + (4 - 3 + 1)*(0*v + v**2 + 0*v).\nAnswer: -984*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13242*m**3 - 2*m**2 + 13242*m**3 - 26486*m**3 + 2*m**2.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 3426159701 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 3, v: 1, h: 4}. What is prob of sequence hehe?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*n - 107 = -4*w - 195 + 64, 3*w = -4*n + 24 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:58 PM and 2:48 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or -6\/7775?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.637 - 0.637. Which is the third biggest value?  (a) 1  (b) o  (c) 4  (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -100994*n**5 + 12*n**4 - 176816*n - 73?\nAnswer: -2019880*n**3 + 144*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3 + (4 - -2) + -9 - -15) + -30?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q = 2*q, 68 = 4*g + 4*q. Suppose -k = -3*o + 1, k - g = -o - 2*k. Solve -o*y = -5*f - y + 2, -2*y = f + 4 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1254 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: Is 878937949 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2 - -2.2. Let v = 462 + -462. What is the nearest to v in f, 5, -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 1614759579?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**1*(w**(4\/5)\/w)\/w)**40\/((w**4*w**(-6)*w)\/(((w*w\/w**0)\/w)\/w)**(-22)) assuming w is positive.\nAnswer: w**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = 3*q - 35. Let f be a(23). Let l = 83 - f. Is l a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(-8)\/l**(-3))\/((l**6*l*l)\/l**8))**(-8) assuming l is positive.\nAnswer: l**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 557 minutes before 8:44 PM?\nAnswer: 11:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 34 divide 5372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 8*z**2 - 2*z**2 - 33*z**2. Let s be 32\/(-40) + 1988\/10. Let d(k) = 200*k - 400*k + s*k. What is d(w(j))?\nAnswer: 54*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3414.6l?\nAnswer: 3414600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y = 54 - 14. Let a = -39 - y. Which is smaller: a or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 391104, 390966, 390840, 390732, 390648?\n\"Answer: s**3 - 145*s + 391248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (211 - 1)\/((-3)\/(-2)). Suppose 5*w + 0*w = g. Let q = -17 + w. Solve 5*o = 4 + q for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -96261, -96262, -96263?\n\"Answer: -s - 96260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 53 + (-3 - 6\/(-2)). Let a = z + 44. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 33, -2477, 2\/15.\nAnswer: -2477, 2\/15, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2\/(-4) - (-14)\/4. Suppose -4*x - 13 = -d, -d - b*x = -2*d + 10. Let o(k) = -22*k - 8. Let t(m) = 2*m + 1. Let p(u) = -o(u) - 8*t(u). What is p(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = 3*g**2 + 133*g. Let m(q) = 15*q**2 - 6*q + 6. Let f(p) = 19*p**2 - 8*p + 8. Let n(o) = -3*f(o) + 4*m(o). Give v(n(z)).\nAnswer: 27*z**4 + 399*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -10*o**3 + 2*o**2 + 5*o - 139. Let a(v) = -28*v**3 + 6*v**2 + 14*v - 418. Determine -6*a(l) + 17*c(l).\nAnswer: -2*l**3 - 2*l**2 + l + 145","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -168, -181, -184, -171, -136?\n\"Answer: i**3 - i**2 - 17*i - 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 421 minutes after 6:48 AM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 158.653 - -0.347. Let k = o + -159.000106. What is k rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(2\/17)*t*t\/(t*t**(-1\/2))*t)**(-2\/17)\/(t**(-1\/9)\/(t*t**(-6\/7)\/t))**4 assuming t is positive.\nAnswer: t**(-59939\/18207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -264 = -5*f - 2*t, -97*t + 94*t - 254 = -5*f. Calculate the greatest common factor of 364 and f.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**11\/(a*a**(2\/9)))**(-1\/4)\/((a**2)**(-8\/7))**(-2\/25) assuming a is positive.\nAnswer: a**(-4138\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 21446808 and 64212.\nAnswer: 21446808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -3*p + 4*p + 0*p - 3. Let a be n(6). Let h(m) = -m + 4. What is h(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -30*u. Suppose -56 = -12*z + 20*z. Let c(d) = -13*d. Let t(w) = z*c(w) + 3*q(w). Let v(l) = -273*l. Calculate v(t(h)).\nAnswer: -273*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 614502 and 86058?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -c**2 - 10*c - 4. Let k be d(-7). Suppose k*s + 30 = 18*s. Solve -5*i - 3*n - 35 = 0, -n + s = -5*i - 3*n for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is d2 (base 15) in base 13?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -76944 divided by -3664.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) be the third derivative of -2*m**7\/735 - m**6\/70 - m**5\/35 - m**4\/42 - 7*m**2. Determine f so that y(f) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2223 + 47*c + 2223.\nAnswer: 47*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 126 + -122. Suppose 0 = -6*h + 7*h - 5*s, -h = -d*s + 5. Is h not equal to -27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*j**2\/7 - 1696*j\/7 - 359552\/7.\nAnswer: -2*(j + 424)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 361.4498um to kilometers.\nAnswer: 0.0000003614498","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 922004*c**3*i**2 - 3694542*c**3 + 4*c*i**4 + 2*c wrt i.\nAnswer: 1844008*c**3*i + 16*c*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.4 * -62.6.\nAnswer: 25.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 172?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(11) + sqrt(11) + sqrt(176)*5 - (-1 + sqrt(1331)))**2.\nAnswer: 22*sqrt(11) + 1332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 187, 188, 187, 184, 179?\n\"Answer: -f**2 + 4*f + 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (-18 - 1) + -37 + 28\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -99419523860 minus 0.1658?\nAnswer: -99419523860.1658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 130, -2\/7, -0.5, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nnnllllllnlnl. Give prob of picking 2 l and 2 n.\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -654 from -37.\nAnswer: 617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 - 1)*(-4*a**2 + 6*a**2 - 4*a**2) - 16*a**2 - 99 + 99 + 0*a**2 + 2*a**2 - 3*a**2.\nAnswer: -15*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of ((-396)\/(-462))\/((-2)\/(-5054)) and 3249?\nAnswer: 6498","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -ae (base 15) in base 5?\nAnswer: -1124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 2043.014065 to the nearest ten.\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 377291 a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 136, -286, -1438, -3686, -7396, -12934, -20666, -30958?\n\"Answer: -61*l**3 + l**2 + 2*l + 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n = 7*n - 22. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30*f + 1521 - 479 = -578 for f.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -c**3 - 11*c**2 - 4*c + 43. Is b(-16) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -7 - -5. Which is the fourth smallest value?  (a) -4  (b) u  (c) -3\/7  (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -5  (b) -1\/2  (c) -38\/5  (d) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Determine p, given that -10*p**5 - 5*p**4 + 80*p**3 + 40*p**2 - 160*p - 80 = 0.\nAnswer: -2, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z = 6 - 6. Let b(u) = -u + 2. Let i be b(z). Suppose 2*n + i*n = 4540. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2\/2977 - 5820\/199459. Which is bigger: u or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 98.1*0.01\nAnswer: 0.981","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 1569, 2699, 3361, 3549, 3257, 2479, 1209?\n\"Answer: -j**3 - 228*j**2 + 1821*j - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*x + 3*z + 993, -3*x = -x + 3*z - 682. Let c = x - 233. What is the tens digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -242 + 588. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(4032)*-2*3)\/(-6*sqrt(100)*-1).\nAnswer: -12*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3264, 3, -48, -14, -3 in descending order.\nAnswer: 3, -3, -14, -48, -3264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*o - 2*x - 11, 6*o = 3*o + 2*x + 3. Let n(c) = -c**2 - 12*c - 20. Calculate the remainder when (68\/6)\/(o\/(-3)) is divided by n(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g\/(g\/((g**(-2\/17)*g*g)\/g*g))*((g\/g**(-3))\/g)\/g*(g*g\/((g**(-1)\/g*g)\/g))**(10\/13)*(g\/(g**0*g))**(1\/56)*g**(-1\/2)\/((g\/g**6)\/g) assuming g is positive.\nAnswer: g**(5507\/442)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 26 + -26. Suppose -5*k + 16 = -c, -2*c + 0*c + 5*k - 12 = w. Solve b + c*b + 25 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((p\/(p\/(p*p*p\/p**(-3))))\/p**(-6))**(-10\/9))**(-6\/11) assuming p is positive.\nAnswer: p**(80\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 25970 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 525 is divided by 89?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 256113.696 rounded to the nearest 1000?\nAnswer: 256000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13.03*-4.\nAnswer: -52.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1544, -1541, -1538, -1535, -1532?\nAnswer: -1529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -t**3 - 4*t**2 - 4*t. Suppose 4*q + 6 = 2*s, 3 = 4*q - 5*q. Give m(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -2*g. Let d(x) = 196*x - 735. Let u(t) = -t + 5. Let l(w) = -d(w) - 147*u(w). Calculate p(l(r)).\nAnswer: 98*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00873 rounded to 3 decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -j - 4. Let r be b(-6). Let d be (-9)\/r*(-2)\/12. Let t be (0 + 3\/2)\/(81\/(-36)). What is the nearest to t in -3, -2\/7, d?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -313*j + 301*j = -24. Suppose 0 = 26*s - 25*s - 5*y - 12, -y = j. Solve 2*q - s - 2 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2 - 1 + 4)*(-2*u - 2*u + 2*u) + 2 + 4*u - 2)*(-5*u + 5*u - 4*u**3).\nAnswer: -8*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1636169?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 8293 + -8166. Solve 0 = -14*p - 43 + b for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10 - (9 - (-11 - -7)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 644797, 1288699, 1932601, 2576503, 3220405, 3864307?\n\"Answer: 643902*w + 895","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -37*d**3 - 6*d**3 - 14*d**3.\nAnswer: -57*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -76*m**2 + 227*m**2 - 106*m**2 + 4*m**3.\nAnswer: 4*m**3 + 45*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 196 and 20?\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 1903.125 months?\nAnswer: 15.859375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -17 (base 12) to base 2.\nAnswer: -10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 354826 divided by 25.\nAnswer: 354826\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0 - 4. Let h = 0.619 - -2.771. Let p = -0.39 + h. Sort -4\/3, v, p in ascending order.\nAnswer: v, -4\/3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -4*q**3 + 46*q**2 + 18*q + 54. Give p(12).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -12, -33, -66, -111?\nAnswer: -168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -11  (b) 0.3  (c) -8  (d) 3  (e) -64  (f) 0.2  (g) 51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 0\/19 - 1\/(-2)*-2. Which is the second biggest value?  (a) 1\/3  (b) s  (c) 1  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 717, -9, -2, 3.\nAnswer: -9, -2, 3, 4, 717","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-17928)\/(-87) + (-16)\/232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 40875 and 9095505.\nAnswer: 1635","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 126046329.\nAnswer: 3, 42015443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -66.949 + 67. Let s = v + -26.051. Let r = s + 26.0000024. What is r rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 46702326 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: Simplify (sqrt(1584) + 5 + 2*sqrt(1584) + sqrt(1584) + 2*sqrt(1584)*1 + (sqrt(1584) + 0 + sqrt(1584) + -2)*-6)**2*5.\nAnswer: -12240*sqrt(11) + 286565","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 32083 is divided by 263.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(7) + sqrt(7))*5*1)**2.\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -b45 (base 15) to base 11\nAnswer: -19aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 980 divided by 140.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 23880758 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 40\/3333 and 125\/1091406.\nAnswer: 12005466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1931?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -6*i**3 + 5*i**2 + 5*i + 3. Suppose -9 = 8*w - 5*w. Let y be v(w). Find the common denominator of (y\/(-12) - 2) + (-5 - -4) and -115\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: Expand -v + v + v + (-2*v - 46 + 46)*(-1 - 2 + 4)*(7 - 3 - 3)*(3 - 6 + 4 + 1 - 2 + 2 + (5 - 1 - 2)*(-5 - 1 + 5) + 2 - 6 + 6).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (54\/5)\/(2\/10). Let o = 647 + -319. Suppose -o*c + 90 = -323*c. What is the greatest common divisor of t and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 70 + 16.442.\nAnswer: 86.442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lllee. What is prob of picking 2 e and 1 l?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = u**2 - u - 12. Calculate d(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + sqrt(567) + 2*sqrt(567) + sqrt(567) + sqrt(84)\/((2*sqrt(12)*-4 - sqrt(12)) + sqrt(12)))**2 + 5.\nAnswer: -1435*sqrt(7)\/4 + 578503\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*z + 0*z + 2*z)*(-11*z + 96*z + z)*(8 + 2 + 1).\nAnswer: -946*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 57 + -7 + -1 + 24 + -25 - (0 + 9).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 606880380?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11021212 (base 3) to base 11.\nAnswer: 2394","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 10*d - 2. Let p(k) be the third derivative of -k**4\/12 - 15*k**2. Determine q(p(h)).\nAnswer: -20*h - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert -25 (base 9) to base 10.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 11*f + 181. Is 22 a factor of (180\/f)\/(9\/(-36))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1980 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -1 + (-236)\/(-460) + (-6)\/(-15). Sort 2\/7, p, -5, 1\/4.\nAnswer: -5, p, 1\/4, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -20291*n*p**2*q + 22*n*p**2 - 64*p**2 - p*q - 4*p - 25*q + 3 wrt n?\nAnswer: -20291*p**2*q + 22*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 152\/(-434) - 224\/(-3472).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 573 minutes before 5:15 PM?\nAnswer: 7:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 21112 (base 4) to base 5\nAnswer: 4343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 14 = -t. What is the remainder when 11 is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3970251 and 438?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 7*w**2 + 6. Let l(h) be the second derivative of -h**4\/12 - 4*h. Calculate q(l(g)).\nAnswer: 7*g**4 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -h + 11. Let o be b(9). Let y = o + 20. What is the smallest common multiple of y and 62?\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 353967 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (1\/1)\/(-1)*5. Let j = 0.2 + 0.2. Let a = -1 - -1.1. What is the closest to a in h, j, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 4, f: 6, c: 5}. Give prob of sequence cc.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.171, -2, 116, 4, -0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1240 divided by -4.\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -26906 less than or equal to 65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 - -1) + -6 - (-2 + 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -21*f - 3. Let z(l) = 107*l + 7. Let q(r) = -303*r - 20. Let w(o) = -6*q(o) - 17*z(o). Calculate i(v) + 3*w(v).\nAnswer: -24*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7*y**2 - 5 + 26 + 3*y**3 - 14 - 6 to the form u*y**2 + g*y**3 + f + p*y and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -39 + -14. Let z = -585\/11 - t. Which is the third smallest value?  (a) -0.2  (b) 1\/4  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -3*j**2 + 51. Let g(u) = -6015*u. Give g(b(z)).\nAnswer: 18045*z**2 - 306765","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = q + 6. Let t be h(-4). Suppose 0 = -5*g - 3*r + 1, t*g + 4*r = -6 - 2. Solve f - 6 = -g*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000509 to five decimal places.\nAnswer: 0.00051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -12 + 17. Suppose v*u - 2*u = 24. Let l(c) = 10*c**2 - 2*c + 4. Let z be l(3). What is the highest common factor of z and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9919728737 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in one sixth of a decade?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -4, 29, 78, 149, 248, 381, 554, 773?\n\"Answer: p**3 + 2*p**2 + 20*p - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 680 (base 9) to base 7.\nAnswer: 1425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 4181282 (base 9) to base 11\nAnswer: 1299708","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2481 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y, 1 o, 1 q, and 1 k when four letters picked without replacement from {y: 2, e: 1, k: 2, q: 1, o: 2}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**(-1))**48\/(j\/j**(1\/4))**(-2\/157))\/((j\/j**0)**5\/(j**1)**47) assuming j is positive.\nAnswer: j**(-1881\/314)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 79533277?\nAnswer: 71, 1120187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -961\/810, -1\/2, 3.\nAnswer: -961\/810, -1\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-3\/4)*l*l**4)**(1\/18) assuming l is positive.\nAnswer: l**(17\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 28269996 and 49407?\nAnswer: 1149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -15*k - 22*k - 8029. Let r = 216 + k. Which is the second smallest value?  (a) 0.2  (b) -2  (c) r  (d) -33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 11*c - 10*c - 505. What is the tens digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -58 by 950713.\nAnswer: -58\/950713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 174559849 to the power of 1\/3, to the nearest integer?\nAnswer: 559","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2629248 is divided by 2253.\nAnswer: 2250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -10444 + 4?\nAnswer: -10440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 4160 (base 7) in base 11?\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:21 AM and 11:54 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3\/980 - 79\/196. Which is the third smallest value?  (a) -100  (b) -1  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.88 - 0.12. Which is the third biggest value?  (a) 1\/3  (b) p  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1019\/3 or 1\/3?\nAnswer: 1019\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*z - 3*z + 5*o = -15, -5*o = 15. Let u = z + 10. Let c = u - 4. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a hour in seconds?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2486*p - 63087 = -6197*p for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.1 - 0.2. Let m be -4 - -3 - (-11 + 534\/54). What is the third biggest value in v, m, 0.2, -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7096 is divided by 257?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -1566773070 to the nearest one hundred thousand.\nAnswer: -1566800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3122*a - 2647*a + 453*a + 277*a.\nAnswer: -5039*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -2*c - 7 + 44 + c. Let m = -347 - -354. Let r be f(m). Calculate the highest common factor of 10 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -15 > -289571?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 4 + (-3 + 3\/3 - -1). Which is the third biggest value?  (a) 12  (b) 0.1  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express z**2 + 2*z - 3*z**2 - 7*z - 10*z in the form p*z**2 + i*z + n and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 29223657 and 526025826.\nAnswer: 526025826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = c**2 + 16*c + 31. Calculate f(-5).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -l**3 - 21*l**2 + 7*l + 152. Let p be k(-21). Put 0, -1, -15, p in decreasing order.\nAnswer: p, 0, -1, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = 5*d**3 - 2*d**2 - d. Suppose 3 = -3*r + 4*r. Let z(p) = -13*p**3 + 7*p**2 + 3*p + 1. Let n(w) = r*z(w) + 8*t(w). Calculate n(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -85619004*r**3 - 1736*r**2 - 4644*r wrt r.\nAnswer: -513714024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 102100 (base 4) to base 13.\nAnswer: 6bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -14*b**3 + 936*b**2 + 125*b + 605. What is l(67)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 70.018 to one decimal place.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*u + i + 28, 4*u + 2*i + 1991 = 1953 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -3*m - 8. Let w be -4 - (-6 - -3)*-1. Let t be g(w). Calculate the highest common factor of t and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*c*c**1*c*c)**20\/((c\/c**1)\/c)**(-49) assuming c is positive.\nAnswer: c**51","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 6, 9193.\nAnswer: -3, 6, 9193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 13599 + -13423. What is the highest common factor of 32 and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -n**3 + 8*n**2 - 14*n. Let q be w(5). Suppose c = 3*c - 4. Let y(k) = 7*k + 3. Let i(a) = -3*a - 1. What is c*y(d) + q*i(d)?\nAnswer: -d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 6723953 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 78.80407 centuries to years.\nAnswer: 7880.407","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 42*v + 36*v = -31*v - 191*v - 3000 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -4, 6, -62, -103 in descending order.\nAnswer: 6, 2, -4, -62, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 12, -139, 4, 0, -5, -6, 18 in descending order.\nAnswer: 18, 12, 4, 0, -5, -6, -139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3053?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -4*y. Suppose 4*l - 4 = -m, l + 9*m - 20 = 4*m. Let c(g) be the third derivative of -8*g**2 + l + 1\/24*g**4 + 0*g + 0*g**3. Calculate c(r(p)).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 48017152 to the nearest integer?\nAnswer: 6929","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/3 in -2\/7, 1\/10, -5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*i - 22 = 48 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 451128193 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 22562.\nAnswer: 2, 29, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = 55*g**2 + 17*g + 88. Let o be f(-4). Let p = o - 672. What is the highest common divisor of 76 and p?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*f - 14*f - 8 = 0. Suppose f*u - 110 = -8*u. Find the third derivative of 2*g + 19*g**4 + u*g**2 - 13*g + 11*g - 2 wrt g.\nAnswer: 456*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -2674, -5194, -7720, -10252?\n\"Answer: -3*g**2 - 2511*g - 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 660 = -4*l + 9*l, 0 = 5*m - 3*l - 1134. Let n = m + -173. What is the remainder when n is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5 (base 15) to base 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-8)\/15)\/1 - -1. Let m = f + -121\/195. Let y = -0.001 + -0.199. Put m, -1, y in increasing order.\nAnswer: -1, y, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -50*y + 21. Let t = -33 - -29. Is v(t) a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3024?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*v**2\/5 + 160816*v - 20907432\/5.\nAnswer: 2*(v - 26)*(v + 402066)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 228811.4 rounded to the nearest 10000?\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 76407 divided by 173?\nAnswer: 76407\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2212220 and 4398.\nAnswer: 4864671780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:47 AM and 7:41 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 442 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = 2*x**2. Let h(q) = 3*q. Determine w(h(v)).\nAnswer: 18*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -312, -297, -282, -267?\n\"Answer: 15*t - 327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 16 + -11. Solve -l*p + 0*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*k**2 - 292652*k.\nAnswer: 2*k*(k - 146326)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2.187?  (a) 1  (b) -2  (c) 11  (d) 3\/2  (e) 0.003  (f) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 22 (base 5) in base 13?\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 13552 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -69\/147250 and -117\/806930.\nAnswer: 20173250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.5 - 0.5. Suppose 2*s + 7*j - 8*j - 10 = 0, -5*j - 14 = -s. Which is the nearest to u?  (a) 3  (b) s  (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*m**3\/5 - 342*m**2\/5 - 1488*m + 35424\/5.\nAnswer: -3*(m - 4)*(m + 36)*(m + 82)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express -4872 + 4872 + 180*k as p + m*k and give m.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 7*k = 3*g + 2, -10 = 4*g - 3*k. Let p(m) = m**3 + 3*m**2 - 5*m - 5. Determine p(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/3?  (a) 5.6  (b) 2  (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 175375?\nAnswer: 5, 23, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -27 + -2?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 210*c - 11032 + 33752 = -358*c for c.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -216624 divided by 108312?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 4 + -33. Let f = 28.6 + u. Which is the nearest to 1?  (a) f  (b) -1  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.64981 - 97.\nAnswer: -97.64981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -5016*q**2*y**2 - 20109*q**2*y wrt y?\nAnswer: -10032*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*6*(sqrt(76) - (sqrt(76) + sqrt(76) + -1 + -2))*4.\nAnswer: -360 + 240*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/4, -0.3, 0.2, -6, -0.2, 6\/11.\nAnswer: -6, -0.3, -0.2, 0.2, 6\/11, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 7, 22, 49, 94, 163?\n\"Answer: g**3 + 8*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 6039308?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 70 divided by 35?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*k + 29 - 13 = 0, -5*k + 17 = o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 128212?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:22 AM and 5:37 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -o + 5. What is p(-11)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -25*f**2. Let n(o) be the first derivative of -13*o - 3 + 0*o**3 + 0*o**2 - 1\/12*o**4. Let p(t) be the first derivative of n(t). Determine d(p(c)).\nAnswer: -25*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*t**2 - 6*t**2 + 2*t**2 + (4*t + 4*t - 4*t)*(-t - 2*t + 4*t) + 8*t**2 - 3*t**2 - 9*t**2 as l*t + w + x*t**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3976*g**3 - 24 + 59 - 35.\nAnswer: 3976*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -15*z**3 - 102*z**2 - 147*z - 60.\nAnswer: -3*(z + 1)*(z + 5)*(5*z + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-2)\/8*(-12 - -14)*-20. Suppose -a*o = -7*o - 12. Solve o*r - 5*w = -r + 5, -w - 16 = -4*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 711\/4 in 2\/9, -1\/33, 0.1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2\/3 or 76092?\nAnswer: 76092","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10 - -111201?\nAnswer: 111121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-7)\/(-2)*12\/21. Suppose 19 = 5*z + n*i - 4, 0 = -2*z - i + 10. Suppose -2 = -h + z. What are the prime factors of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -122*l**2 + 49*l**2 + 33*l**2 + 43*l**2.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 216002*s - 216002*s - 36*s**2.\nAnswer: -36*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1)\/(1*(-1)\/2). Let d(c) = -c**3 + 5*c**2 + 2*c + 2. Let r(o) = -o**2 + 0*o + 0*o - 4594 + 4593. Let h(s) = -d(s) - 4*r(s). What is h(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-5 - 1)*4\/(-12). Solve 0 = -j*q - 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-12)\/(-14)*14\/2. Let c(r) = -18*r + 13*r + 7*r**2 - 2*r**2 + 14*r - r**3 - 6. Calculate c(w).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find m such that 4*m**4\/5 + 4368*m**3 + 37753488*m**2\/5 + 4336270848*m + 3942099062784\/5 = 0.\nAnswer: -2298, -432","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from khyy. What is prob of sequence hk?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = 15*p**3 + 21*p**2 + 11*p - 205. Let d(u) = 3*u**3 + 4*u**2 + 2*u - 41. Calculate -11*d(i) + 2*k(i).\nAnswer: -3*i**3 - 2*i**2 + 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h - 5*i = -2*i - 10, 4*h + 5*i = 22. Calculate the remainder when 14 is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -j**3 + 2*j**2 + 1. Let s(h) = -h**4 + 8*h**3 - 15*h**2 - 8. Let w be (-30)\/6 - 41 - -6. Let b(z) = w*x(z) - 5*s(z). Factor b(p).\nAnswer: 5*p**2*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a milligram in micrograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 13 by -1794227.\nAnswer: -13\/1794227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 59.735 - -21014.\nAnswer: 21073.735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -124, -325, -526?\n\"Answer: -201*h + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/((-609)\/(-105)*-5))\/(5\/20).\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0\/(-3) - (-10)\/(-15).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.3 and -0.038.\nAnswer: -0.0114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of v**5 - 458*v**4 - 5*v**3 + 2*v**2 - 2062?\nAnswer: 60*v**2 - 10992*v - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1791e - 7?\nAnswer: 17917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) be the second derivative of 0 - 1\/6*b**3 + 3\/2*b**2 + 2*b. Let w = -78963 + 78959. What is c(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 57 + -54. Suppose -4*b - 436 = -w*c, -c - 5*b + 84 + 55 = 0. Let z = c - 13. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -94404225 divided by -5.\nAnswer: 18880845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -32660*q + 7054558. What is f(216)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express (-50*q - 2*q + 86*q)*(22 - 1 - 1 - 2*q**2) in the form j*q**2 + w + v*q**3 + c*q and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2 + -8. Let t(r) = 2*r**2 + 5*r + 5. Let s(d) = -3*d**2 - 6*d - 6. Let l(u) = n*t(u) - 5*s(u). Let g(b) = b. Calculate g(l(h)).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 221 and 51697?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -4 - -8. Let x be c*-2*2\/8. Let h(m) = -3 + 6 + 0*m**3 + 2*m - m**3 + 0. Give h(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 125533?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(85)*3 - sqrt(85))\/(-4*sqrt(80)))**2.\nAnswer: 833\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/90939 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -98048 or -103068?\nAnswer: -103068","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (993*w**4 + 1233*w**4 - 1004*w**4 + 914*w**4)*(3 + 2 - 4)*(4 - 1 - 2) to r*w**4 + z*w**2 + h + g*w + l*w**3 and give r.\nAnswer: 2136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/2?  (a) -0.08  (b) 4  (c) 3  (d) -0.5  (e) -0.0377\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -343 - -346. Solve v + f = -5, -t*v + 9 = 2*f - 5*f for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1167 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1519 and 434?\nAnswer: 3038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a = -4*g + 356, 22*g - 5*a = 18*g + 356. Solve 94*x = g*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 less than or equal to 181\/59554?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find l, given that 14*l**4\/5 + 4196966*l**3\/5 - 32377236*l**2\/5 + 57559936*l\/5 + 19186624\/5 = 0.\nAnswer: -299791, -2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -13*r**3 + r**2 + 7*r + 5. Let z be y(-2). Suppose -136 - z = -c. What are the prime factors of c?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2581108 is divided by 113.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Do -0.038247 and 0.04 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find i such that -10*i**5\/3 + 62*i**4\/3 - 2*i**3\/3 - 62*i**2\/3 + 4*i = 0.\nAnswer: -1, 0, 1\/5, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 0\/(3 - (-1 - -2)). Suppose 2*v + 4*s = 32, -s = -2*s - 1. Suppose -3*n - 2*o + v = 0, 4*o = -3*n + 8*o. Which is greater: h or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21 = -11*i + 4*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 87024 is divided by 213.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Express (-183*c**2 + 43 - 75 + 31)*(5*c - 2*c - c) in the form g*c**3 + d*c**2 + f + o*c and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -49 + 43. Does 3 divide -2 + 1 + 1 - r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vsvwvivdddggwiw. What is prob of sequence iw?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*x**3 + 196*x**2 + 904*x + 1056 = 0. Calculate x.\nAnswer: -44, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 32*k - 13. Suppose 0 = -2*n - n + 12, 3*b - 5*n = 1. Is v(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1.2 - 0.9. Let t be (-3)\/(-2)*(1 + -3). Let j = -110171\/606001 - 1\/55091. Which is the closest to -1?  (a) t  (b) j  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 13 + -7 + -2 - (-2 + 6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 a factor of 105025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -10  (b) -3  (c) -4\/5  (d) 4\/11  (e) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 38, -5, -19, 5, -25, -18, 2.\nAnswer: -25, -19, -18, -5, 2, 5, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + (-2 - -1) + 3 + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -1773 > -5315\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 13 - -1306610?\nAnswer: 1306623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 20, 12, 0, -16, -36, -60, -88?\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -103 + 97 - (1 - (13 + 1)) - 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2085 and 301879505?\nAnswer: 695","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 1\/34, -2\/11, 14.\nAnswer: -2\/11, 1\/34, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4*w + 2*w + 3*w**5 + 8*w - 4*w wrt w?\nAnswer: 60*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-238)\/(-18) + 2\/(-9). Suppose 158*n + 101*n - 418 = 50*n. Solve n*g + a - 3 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -4, 22, 387, -3, -22, 4 in descending order.\nAnswer: 387, 22, 4, 1, -3, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 - 1 - (-4 - (-6 + 6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6887071 is divided by 20?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 620091113 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 1808.373 + 1.524?\nAnswer: 1809.897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-414)\/621*402\/(-4) + -21.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d + 4*h + 4 = -6*d, 0 = -h - 2. Factor -14*a - 21 - 2*a**d - 34 + 43.\nAnswer: -2*(a + 1)*(a + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h + 12 = 4*r + h, -3*h - 3 = 3*r. Is -15\/89 at least r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 5 - 0. Suppose 0*x - 74 = -p*z + 2*x, 3*z = 2*x + 46. List the prime factors of z.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*sqrt(19)*-1*-1*-2.\nAnswer: 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 79*c**2*l**2*s**2 + 7670*c**2*l**2 - c**2 - 21*c*l**2*s**2 - 11*c*l**2*s + 6*c*l*s - 1109*c*s**2 + c - l*s**2 wrt c?\nAnswer: 158*l**2*s**2 + 15340*l**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 105914920 and 260?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 12958, 12437, 11916, 11395, 10874?\nAnswer: 10353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 323 + 230115?\nAnswer: 230441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2156499 and 261?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -j**3 - 10*j**2 - j + 4. Let y be r(-10). Suppose -2*i + 52 = y. Suppose i = d - 9. What are the prime factors of d?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 415378?\nAnswer: 2, 17, 19, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*j = j + 10*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -215 - -214.9862. Let p = 0.4862 - r. Which is the smallest value?  (a) -3\/7  (b) 0  (c) p  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*t**3 - t**3 - 6*t**3 + (-3*t**2 + 2*t**2 - t**2)*(4 - 4 + t) + (-4*t**2 + 4*t**2 - 2*t**2)*(2*t - 6*t + 2*t))*(2*t - t**2 - 2*t).\nAnswer: 2*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 6906 times 1.98\nAnswer: 13673.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*g + g - 3*g)*(-39*g + 14*g - g) + (-g + 0*g + 2*g)*(-3*g - g + 5*g) + g**2 - 2*g**2 + 3*g**2 in the form f*g**2 + k*g + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 138 - 852.799195\nAnswer: -714.799195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(20) - sqrt(20)*-2)*-1 + 0 + sqrt(5) + 2 + (-3*sqrt(5)*-1)**2.\nAnswer: -5*sqrt(5) + 47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2)\/6 + 5\/3*2. Let j(a) = 2*a**2 - 7*a + 4. Let h be j(t). Solve -6*l - h = -3*n - 4*l, 0 = -3*n + 3*l for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*r - 5 = -9 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 30690 to the nearest one thousand.\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 718.9643 centimeters in micrometers?\nAnswer: 7189643","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*q + 11*q + 0*q to the form v*q + l and give v.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f\/(f*f\/(f**(1\/4)\/f))*f*f*f**(-1\/11)*(f*f*f\/(f**(2\/9)\/f))**(-1\/4) assuming f is positive.\nAnswer: f**(-311\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1)\/((-24)\/9 - -1). Let d = -0.54 + -0.06. Let o = d + -2.4. Which is the closest to 0.2?  (a) o  (b) s  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:52 PM and 5:39 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -715.5 - -716. Let u = -0.3 - -1.3. Put 5, u, q in decreasing order.\nAnswer: 5, u, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o\/o**(-9\/2))\/o*o)**(-8) assuming o is positive.\nAnswer: o**(-44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = 258*f - 59. Determine t(-5).\nAnswer: -1349","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 7353245*b**2 + 205*b + 4077.\nAnswer: 14706490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Total of 8 and -3.77.\nAnswer: 4.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 295*o + 194*o**2 - 3*o**2 - 295*o.\nAnswer: 191*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = s**3 - s**2. Let v be (-2 + -1)*(-2)\/6. Let b(w) = 3*w**3 - 2*w**2 - 2*w. What is v*b(a) - 2*y(a)?\nAnswer: a**3 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2 - 1.8. Let l(f) = 19*f**2 + 57*f - 269. Let v(b) = 7*b**2 + 19*b - 90. Let i(s) = 4*l(s) - 11*v(s). Let u be i(11). Sort -2\/9, 5, j, u.\nAnswer: -2\/9, j, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.45 - 38174.\nAnswer: -38173.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1222*l - 240 = 1182*l for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 177.2 + -35.2. Let u = -142.59 + w. Round u to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*u**5 - 3*u**5 + 0*u**5 + (-698 - 127 - 88)*(0*u**5 - u**5 + 3*u**5).\nAnswer: -1827*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) be the first derivative of -9 - 8\/3*l**3 - 11*l + 0*l**2. Differentiate h(i) with respect to i.\nAnswer: -16*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 722920353?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -3*l**2 - 333 + 5*l**2 + 2*l**2 + 14*l + 336. List the prime factors of f(-6).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 4268 divide 174744724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 173\/2142 and -149\/207672?\nAnswer: 4361112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 5*l + 130340 = 0, -205*j + 203*j + 130332 = -3*l. List the prime factors of j.\nAnswer: 2, 3, 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20100 (base 3) in base 15?\nAnswer: b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 2342 and -16?\nAnswer: 2358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-173)\/((-19722)\/(-171)))\/(3\/(-14))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1 * 1165664.\nAnswer: 1165664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1\/15  (b) 3  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.072556 and -0.2?\nAnswer: -0.0145112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 394102506?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1286268*z**5 + 38026*z - 19?\nAnswer: 25725360*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 8 and 38\/7789.\nAnswer: 7789","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-36)\/(-15))\/((-8)\/(-10)). Suppose 2*w + r = -b*r + 903996, -3*r = 3. What is w rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -4*t**2 - 89*t - 93. Give j(-21).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v = b + 5 - 3, 3*v + 14 = 4*b. Let q = v - -4. What is the smallest common multiple of q and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-17\/4)\/r*r*r**(-2\/9)\/r*r**(-15)\/(r**(-21)*r))**(12\/7) assuming r is positive.\nAnswer: r**(-17\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 6999 >= 6358?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 6, 26, 48, 72?\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*z = -2*s + 54, -5*s = -23*z - 371236 + 370996 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x - 3*d + 30 = 0, -2*x + 0*d = -5*d + 19. Solve -x*o = o + 8 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -3*z**3 - 627*z**2 + 15*z + 639. Let x(d) = 2*d**3 + 630*d**2 - 12*d - 640. Let v(a) = 5*i(a) + 6*x(a). What is y in v(y) = 0?\nAnswer: -1, 1, 215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*u**4 + 15*u**3 + 39*u**2 + 21*u.\nAnswer: -3*u*(u - 7)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4 + 4 - 4*y)*(-y**2 - 12 + 12)*(-29 - 36 + 80) in the form u*y**2 + b*y**3 + r*y + a and give b.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -253229807966+-634\nAnswer: -253229808600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.019 + 56.019. Let z = h - -15. Let o = -71.000037 + z. What is o rounded to five dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -287107.539 to the nearest one thousand.\nAnswer: -287000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 1, -2, -3, 2, -10 in decreasing order.\nAnswer: 3, 2, 1, -2, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -19 + 40. Let l be ((-3)\/2)\/(k\/(-56)). What is the third derivative of -5*x**4 - 2*x**2 + 3*x**l - x**2 - x**4 wrt x?\nAnswer: -72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.3918083ml to litres.\nAnswer: 0.0003918083","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*t - 49499 + 99475 - 49314.\nAnswer: -4*t + 662","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (1035\/4140)\/((-1)\/(-144))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = 4*g**2 + 1. Let m be (6\/10)\/((-6)\/(-30)). Suppose 0*y = -y + m. Is n(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 10\/(-4)*(-4)\/5. Solve 0 = 5*z - 3*u - 12, 3*z + u = -y*u + 12 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -62052 - -62051.99999970057. Round o to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 4165 and 170.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 7b48b2 (base 13) in base 8?\nAnswer: 13115763","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 4, w: 2}. What is prob of picking 1 w and 3 l?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 times -76?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 501 minutes after 7:10 AM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-6)*y*y*(y**(5\/4)*y*y)\/y*y\/(y*y*y**(-4\/9)\/y)*y**(-3)*y)**(-12) assuming y is positive.\nAnswer: y**(119\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -p**2 + 3*p + 119. Let w be m(11). Solve -36*z + w*z = 10 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 5*u + 25. Suppose -2*g + 244 = -2*n, 626 = 4*g + g - n. Let w = -131 + g. Let q be l(w). Solve -2*r - 3*h - 20 = 0, -4*r + 9*r + h + 24 = q for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - 9 = 0, 4*c + 8 = 4*l - 4. What is the remainder when 21 is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 18 and 7771?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2.03 + 0.03. Let j = -3.1 + 3. Let h be (-4)\/((-100)\/(-55)) + 2. What is the third smallest value in c, h, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 13) to base 2\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m**4\/2 - 237633*m**3 + 56468492145*m**2\/2 + 112940786450*m = 0. Calculate m.\nAnswer: -4, 0, 237635","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 164805147 divided by 25779\nAnswer: 6393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 9\/10 of a milligram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7778*-0.03867.\nAnswer: -300.77526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (37 - 36)\/((-2)\/(-10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) be the third derivative of c**4\/24 - c**2. Let k(m) = 4*m. Determine k(o(r)).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -76 - -111. Let y(i) be the first derivative of -2*i**3 - 33*i**2 - 9 + g*i**2 + i**3. Find the second derivative of y(r) wrt r.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.768+-2278\nAnswer: -2278.768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -4*n + 0 - 3*n + 4*n - 1. Let l be s(-2). Solve -l*q = -3*i - i - 6, 10 = q - 3*i for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3047 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - h - 39763 = 0, -2*g = 4*h - 6987 - 32791. Does 20 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**(4\/9)*l**(1\/2) assuming l is positive.\nAnswer: l**(17\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(sqrt(19) + -1)**2 - -1*sqrt(171) - (5*(2 + sqrt(19) - sqrt(19)))**2*-4.\nAnswer: -5*sqrt(19) + 480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -86*x - x - 34*x + 2*x**3.\nAnswer: 2*x**3 - 121*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 4\/12 + 29\/3. Suppose -66 = -2*l - 2*k, n = -k - 4*k. What is the derivative of 4 - 2 + l*y**4 - 37*y**4 + 0 wrt y?\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-72)\/(-81)*21\/28\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 165322948.\nAnswer: 2, 7, 5904391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is ((198\/8)\/33)\/(10\/(840\/9))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -25  (b) 1  (c) 1.2  (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1741 + 1737.014. Let l = -0.014 + w. What is the nearest to 0 in l, -1.4, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 = -3*l + 3*d, -l + d = -d + 6. Let g be 12\/9*(-12)\/l. Let w(a) = -3 - 7*a**g + 0*a**2 - a**3 + 3*a + 4*a**2. Determine w(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x = 94 - 40. Suppose -3*i - x = -12*i. What is n in 21*n**i + 64*n**3 - 40*n**3 + 75*n**4 - 40*n - 45*n**5 - 81*n**2 + 46*n**3 = 0?\nAnswer: -2\/3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 119\/16510 and -43\/52?\nAnswer: 33020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 - 1 - (-35)\/(-15)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z - 5*i - 10 = -0*i, 3*z + 2 = -5*i. Which is the closest to 1\/5?  (a) 2\/9  (b) 18  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -3 + -644?\nAnswer: -647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 1046393106 a multiple of 337?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: ((-9)\/4)\/((-459)\/306)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*b - 0 - 12. Suppose 0 = -n + 4*n - 6. Let q be 2\/2 - n - 1. Which is bigger: q or b?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 + 26 = -2*g. Let o be (-26)\/7 - (-4)\/g. Let u(i) = i**2 - i - 2. List the prime factors of u(o).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g + 18 = 153. Let z = 34 - 19. Calculate the highest common factor of z and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 7869 and 172.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 3 (base 13) to base 12\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) be the third derivative of g**9\/60480 - g**6\/240 - 3*g**5\/20 + 11*g**2. Let w(o) be the third derivative of f(o). Differentiate w(n) wrt n.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 9562348 and 6567?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - 1908 = -2*z. Suppose 566 = -67*c + 4586. What is the remainder when z is divided by c?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/2?  (a) -4  (b) 0.238  (c) 1.4  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -23313323123 (base 4) to base 12\nAnswer: -106138b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 238244 and 16677080?\nAnswer: 16677080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*x**2\/9 - 272*x - 2444\/9 = 0. What is x?\nAnswer: -611, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w - 5*h + 109 = -25, 3*w - 2*h = 112. Let f(c) = 120*c + 36. Let m(i) = -17*i - 5. Give w*m(a) + 5*f(a).\nAnswer: -12*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000040005895 to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -31238, -31237, -31238, -31241, -31246, -31253?\n\"Answer: -w**2 + 4*w - 31241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (9\/60)\/((-18)\/(-96)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 24\/110 + (-2)\/(-11)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 1545208472?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 837034, 1674174, 2511314, 3348454?\nAnswer: 4185594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 358315012 and 554.\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -98445*j - j**2 + 196866*j - 6*j**2 - 98421*j + 0*j**2.\nAnswer: -7*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -2*a**3 + 55*a**2 - 28*a + 29. Let r be t(27). Solve 21 = -5*u - 2*o, u = -u - r*o - 6 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {x: 18, i: 1}.\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2387314 is divided by 1791?\nAnswer: 1702","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*u - 3 + 5*u - 6*u)*(3544*u**2 - 7924*u**2 + 3010*u**2) as s*u + g*u**3 + o*u**2 + b and give o.\nAnswer: 4110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**(-10\/3)*q**(5\/4)*(q**(-1\/3)*q)**(-19) assuming q is positive.\nAnswer: q**(-59\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 182 and 1050.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 8842?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**10)**5 assuming g is positive.\nAnswer: g**50","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.04 in -3\/5, -23, 1\/7, 1\/10, -5?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (1\/2 + 1\/(-6))\/((-265)\/14310)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 37 and 186184.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 0, -7, -47 in descending order.\nAnswer: 0, -5, -7, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1180*f + 1759*f + 15677*f + 28441*f.\nAnswer: 44697*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -28*g - 0*g + 672. Does g = 24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 not equal to 717\/109?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) be the third derivative of 11*n**7\/210 + 7*n**6\/30 + 166*n**4 - 3054*n**2. Find the second derivative of r(g) wrt g.\nAnswer: 132*g**2 + 168*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) be the first derivative of 1\/4*z**4 - 20*z**2 + 136 + 102\/5*z**5 - 1\/3*z**3 + 0*z. Find the third derivative of a(j) wrt j.\nAnswer: 2448*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -3*z**2. Let h(u) = 17*u**2 - 2*u. Let k(y) = 6*b(y) + h(y). What is k(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-6)\/40*(-4 + 0). Which is the closest to -1?  (a) 0.4  (b) o  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -9706 or -9619?\nAnswer: -9619","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 1902003 at least as big as 1902113?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 15126817 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 18 = 4*x. Let r be (-5)\/15*(x + 0). Find k such that 3*k**2 - 6*k**2 + k**4 + 2*k**r = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1445658)\/(-3)*(5 + 7)\/24 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (3 + 6)\/(-3 + 4). Suppose -61 - 173 = g*k. Is -28 != k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 6 - 175054174.\nAnswer: -175054168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 197495 is divided by 58?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p = 63 - 42. Calculate the remainder when ((-6)\/3)\/((-4)\/38) is divided by p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*b + 4*u = -16, -b + 12017*u = 12022*u for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -101011111100100000011 (base 2) to base 16.\nAnswer: -15f903","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 702*g + 1686 = 705*g. What are the prime factors of g?\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (120\/35*1\/4)\/(5472\/1197).\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*s**2 + 5*s**2 + s**2)*(-2*s + 0 + 0 + (-1 - 1 + 4)*(4*s - s - 5*s) + 3*s + 3*s - 7*s - 2*s - 2*s - 2 + s).\nAnswer: -40*s**3 - 8*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -119 less than -0.00675958?\nAnswer: 118.99324042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b = -3*w + 3*b, -4*w + 2*b + 14 = 0. Suppose 4*m + 81 = 7*m. Suppose w*c + 3*k = 17, 5*c + 3*k - m + 7 = 0. Sort 3, -5, c in decreasing order.\nAnswer: 3, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = 169*i - 263607. Let c(a) = -2*a. What is c(h(r))?\nAnswer: -338*r + 527214","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -13\/2408 and 37\/2?\nAnswer: 2408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hhkkkhoooooyh. Give prob of picking 1 o, 1 k, and 1 h.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 86152 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 2828429 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1005 + -1005.11744. What is z rounded to two dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 4 - 73?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 11393 - 11359. Solve n*a = 41*a + 21 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*m - 34 = 5*x, -5*x - 31 = 7*m - 9*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 280 and 2744.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -3*b**3 + 37*b - 3. Let f(m) = -m**3 + 8*m. Let y(u) = 5*f(u) - q(u). Let x(i) = i**2 - i - i - 2*i + 2*i**3 - 4. Give 3*x(n) + 4*y(n).\nAnswer: -2*n**3 + 3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = 17*f. Let m(k) = -461 + 460 + 3*k + 28*k. Calculate m(y(u)).\nAnswer: 527*u - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4676884343*a + 4676884343*a - 3*a**3.\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -41\/192 and -75\/184?\nAnswer: 4416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve h**2 - 3548*h - 7100 = 0 for h.\nAnswer: -2, 3550","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 47  (b) -2  (c) -41594\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = 12634*o. Let v(x) = x. Give h(v(d)).\nAnswer: 12634*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 100615280.\nAnswer: 2, 5, 1257691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 3565 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 1545, 1543, 1541, 1539, 1537?\n\"Answer: -2*g + 1547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 26*g - 171 - 89. Suppose -1 = 2*r - 9. Suppose -3*o - r = -7*o. Calculate the least common multiple of g and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 7451397033?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 63\/42 - 6640835\/6114. Let x = -3254\/3 - d. Which is bigger: -1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2152287436?\nAnswer: 2, 13, 41390143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yvvyyyyyyyyyy. What is prob of picking 3 y?\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 28080 and 1300320.\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22 = 3*u - 2*k, 9*k - 45224 = -3*u - 45092 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 54480 and 141648?\nAnswer: 708240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 3192164237 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 297 and 1657125.\nAnswer: 18228375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 6256, 6520, 7244, 8662, 11008, 14516, 19420, 25954?\nAnswer: 34352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -275\/3 + 277\/3. Which is the closest to p?  (a) 0.03  (b) -0.4  (c) 1  (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 5*v + 8. Let r = -131 - -157. What is the hundreds digit of q(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 95240481 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 146725526?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-12)\/(-9) + ((-89853)\/(-9) - 0). Suppose 4*z = 14*g - 11*g + 7991, 0 = -5*z + 5*g + r. What is z rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 98112293?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -6 - (-59)\/(-7)*12. Which is greater: -106 or l?\nAnswer: -106","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sns when three letters picked without replacement from {n: 1, s: 4, r: 7, g: 6}?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1024604 and 16100.\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -1016, -2074, -3130, -4184, -5236, -6286?\n\"Answer: h**2 - 1061*h + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) be the third derivative of -h**4\/24 + h**3\/6 - 40*h**2. Give v(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*t + 4*t - 7*t)*(-1 - 1 + 1 - t**3).\nAnswer: -3*t**4 - 3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:48 AM and 12:43 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 85770 and 18?\nAnswer: 85770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1100100111110000101110 (base 2) to base 8.\nAnswer: -14476056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 110000*v**2. Suppose 6*m - 2*m - 16 = 4*c, 4*c = -m - 6. Let u be a(m). Let l be -1 + (2 - 1 - u). Round l to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 365711 or 11\/9?\nAnswer: 365711","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5853 + -437.\nAnswer: -6290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 6390 and 318222.\nAnswer: 1278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -594 or -605?\nAnswer: -594","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4689a3 (base 15) to base 7.\nAnswer: -40435215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 32410 + -32410.000010115. What is f rounded to 7 decimal places?\nAnswer: -0.0000101","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -210 or 1\/2?\nAnswer: -210","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**(-9)\/(h\/(h*h\/h**(8\/5))) assuming h is positive.\nAnswer: h**(-48\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -4 from 3074.04.\nAnswer: 3078.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -3*g**2. Let c(x) = -839*x**2. Calculate c(q(a)).\nAnswer: -7551*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*q**3 - 22*q + 19*q + 18*q - 15*q.\nAnswer: 12*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -61, -120, -181, -244?\n\"Answer: -u**2 - 56*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 480 in -3.02, -2, 5, 0.3, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:56 AM and 7:40 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:11 PM and 1:25 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 8546182962 to the nearest integer?\nAnswer: 2045","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/(6\/((-24)\/(-20)))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 37 = 34586?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 90 = 3*o, -4*p - 142 = -5*o - p. Suppose 5*x = 4*x + o. Is x greater than or equal to 30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4434 - 229 + g**2 - 2743.\nAnswer: g**2 - 7406","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -a**3 + 4*a**2 - 10*a + 11. Let i(w) be the second derivative of w**4\/6 + 57*w. Let k(b) = 3*i(b) + v(b). What is k(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ppppdpppypppyppydpyy. What is prob of picking 1 p and 3 y?\nAnswer: 26\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 8 divided by 15\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 68 and 28118.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -12\/13, 0.3, -0.2, 22, -2\/9, 88, -5\/2?\nAnswer: 88","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 6102 and 432.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 2308 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Determine y, given that -5*y**2 + 365*y + 750 = 0.\nAnswer: -2, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(425) + 2 + 1 + sqrt(153) + (sqrt(102)\/sqrt(12))\/(sqrt(4)\/sqrt(2)*4))**2.\nAnswer: 195*sqrt(17)\/4 + 72401\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6546*r**2 + 39598*r**2 - 14318*r**2 + 15879*r**2.\nAnswer: 47705*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -129783.6297 rounded to the nearest 1000?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(2\/81))**(1\/2)\/((r*r*r**4*r)\/(r\/r**(-11\/4)*r)) assuming r is positive.\nAnswer: r**(-725\/324)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -11001101001011000101 (base 2) in base 4?\nAnswer: -3031023011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 2425822 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 154 = 4*i - 3*r, -4*r - 4 = -2*r. Let d = -15 + i. Let x = 9 + d. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16\/20 - 4\/10.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*i - i + 20. Let q(w) = -w + 1. Let d(b) be the third derivative of 0 + 2*b**2 + 0*b + 1\/12*b**4 - 1\/6*b**3. Give i*q(x) - 3*d(x).\nAnswer: -2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 861b (base 12) in base 10?\nAnswer: 14711","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xsbbssxbbbbbbbb. What is prob of picking 2 s?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8 + 0 - 400970*l**2 + 8.\nAnswer: -400970*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = 54*h**3 - 8*h**2 + 7*h + 45. Does 78 divide j(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) be the third derivative of v**6\/40 - v**5\/5 - 27*v**2. Solve t(s) = 0 for s.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5.804545 kilometers to meters.\nAnswer: 5804.545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1782*p**3*v**3*w**3 - 130*p**3*v**3*w - 2*p**3*v**3 + p**3*v**2*w**3 - 2*p**3*v*w - 4*v**2*w**2 wrt w.\nAnswer: 10692*p**3*v**3 + 6*p**3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9869*z**3 - 4934*z**3 - 4934*z**3.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 + 0 - (-4 - -2)) + 5 + 8.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s - 11 - 14 = 0. Suppose s*u - 59 = -3*y, 2*y + 4*u = 3*y - 48. Suppose 2*v + 2 = d - v, 5*d - y = -3*v. What is the least common multiple of d and 7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -c**2 + 13*c - 33. Let n be q(10). What is the common denominator of 12\/(-20) + n\/(-4) + 3 and -83\/100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i = -5*c - 30, -21 = 5*c + 9*i - 5*i. What is the third smallest value in c, 0, 1.1?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 190972\/(-20)*-5 - 12 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2)\/2 - -1 - -512. Suppose 641*b = 630*b + 22. Suppose -d = -b*u + 1442. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (116\/(-5))\/(2\/274180*4). Let c be (3 + 38)*p - -2. What is c rounded to the nearest one million?\nAnswer: -33000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*r + 3*j = -7, -3*j - 187 + 190 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2*-1 + (-5)\/(-4). Let f = 2 - 2.2. Suppose 0 = -4*b + 3*c - 1, 0 = 5*b + 6*c - c + 45. What is the closest to f in 0.1, o, b?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*a + 2*a + 3*a - 17*a - 25*a + 32*a + (a + 3 - 3)*(1 - 3 + 0) + 0*a - 2*a + 3*a)*(3*a + 0*a - 4*a).\nAnswer: 10*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*w + 352 = -3*w. What is the remainder when w is divided by 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = 3*g + 2. Let q be l(4). Let i = q - 10. Suppose -h + 4*z + 12 = 0, 12 = 4*h + 108*z - 112*z. Solve h = -r - 3*r - i for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11629215?\nAnswer: 3, 5, 13, 103, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -276790 divided by -138395\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xy when two letters picked without replacement from {x: 3, y: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -1c1d66 (base 15) in base 13?\nAnswer: -3910b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 49979637.\nAnswer: 3, 37, 150089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -d**3 - 11*d**2 - 14*d + 8. Let k(f) = -4*f**2 - 5*f + 3. What is 3*g(y) - 8*k(y)?\nAnswer: -3*y**3 - y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*c = 11*c - 5*u + 85, 4*c - u = 79. Solve -7*s - 13 = -c for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -146.5 and -0.3?\nAnswer: 43.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -2*v**3 + 5*v**2 + 2*v - 631. What is the thousands digit of q(-22)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = 4*n. Let w be (6\/8)\/(6\/16). Let g(b) = -21*b**2 + 13*b**2 + 7*b**w. Determine v(g(k)).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = o**2 + 12*o + 7. Give b(-12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*r + 4*r + 30 = -3*g, -5*r + 4*g = -61. Solve 0 = -3*m - 0 - r for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 2 + 53?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 258 + -255. Suppose 5*l - 1064 = 4*f, -3*l = -j*f + 297 - 936. Is 36 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-18)\/3)\/(-30) - (-120)\/25. Solve -30 = -u*n - 45 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -109, -3\/11, 160\/7, -2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 23  (b) -1  (c) 0.07  (d) -6\/7  (e) 0.14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 55*q - 6096 = 49*q. What is the hundreds digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/3715?  (a) 0.5  (b) -2\/7  (c) 1  (d) -0.28  (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 446 minutes after 2:33 PM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -r**3 - 11*r**2 - 9*r + 8. Let j be a(-10). Let x be j\/((-123)\/24 + 5). Which is bigger: x or 15?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -3*c - 22. Let g be x(-9). Solve 2*q + 5*o = g*q - 6, -5*o = 15 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 27878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*v**3 - 4 + 859*v**2 - 863*v**2 + 2*v + 7*v**3 + 2*v**3 in the form g + x*v + s*v**3 + t*v**2 and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -15291, -31015, -47539, -65265, -84595?\nAnswer: -105931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5487\/20119*11\/(-2).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = 540*u - 99. Let f(r) = -11*r + 2. Let h = -117 + 216. Let z(y) = h*f(y) + 2*a(y). Let v(k) = -k. Determine v(z(t)).\nAnswer: 9*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 57993 and 11232.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8591 - 2134 = 11*s. What are the prime factors of s?\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(11)*1 + -2 - 1*sqrt(176))**2.\nAnswer: 12*sqrt(11) + 103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1780879 is divided by 106.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 160\/48*3\/(45*1)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -7*d**2 + 274*d + 81. Is t(22) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 263*m + 288 = 272*m. What is the lowest common multiple of m and 48?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 3288 + -3565. Sort 0, l, -5 in increasing order.\nAnswer: l, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 12999 + -194983\/15. Sort 1769, 3, c, -3.\nAnswer: -3, c, 3, 1769","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -69*z + 5 = -70*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 167954 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: Calculate the remainder when 515341 is divided by 281.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 2332 and -10.94913?\nAnswer: 2342.94913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (j**2 - 4*j**2 + 2*j**2)*(-j**2 - 2*j**2 - j**2 - j**2 + 0*j**2 + 0*j**2 + (5 - 1 - 3)*(-3*j**2 + 5*j**2 - 3*j**2)).\nAnswer: 6*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 218422.293 and 0.2?\nAnswer: 218422.093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -4 divided by 65\nAnswer: -4\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2.616509*-5.\nAnswer: -13.082545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -k**3 + 25*k**2 + 52*k + 40. Give h(27).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = 4*f**3 - 18*f**2 + 44*f. Let w(r) = -r**3 + 6*r**2 + r - 1. What is g(m) + 3*w(m)?\nAnswer: m**3 + 47*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - 2*y + 14 = 3*o, 11 = 4*o - y. Suppose 0 = 3*a + 2*b, -2*a + 2*b = a. Solve a*i = o*n - i, -n = i for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (44 - 21 - 22 + 3*l)*(5*l**3 - 3*l**3 + 2*l**3)*((1 - 1 + 1)*(2 - 5 + 1) + 3 - 2 - 3).\nAnswer: -48*l**4 - 16*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*p**2 - 3*p**2 + 3*p + p + (0*p + 0*p - 2*p)*(-p + 5*p - 2*p) - 22*p - 5*p**2 + 3*p**2 + 20*p.\nAnswer: -7*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 104372?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 10*i + 3. Let o(j) = 10*j + 4. Calculate -3*g(m) + 2*o(m).\nAnswer: -10*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 3019704006?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 591 minutes after 11:15 PM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2\/15  (b) 0.3  (c) -4  (d) -22  (e) -2398\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k and 1 y when two letters picked without replacement from khyyyyykyhyykyyyy.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4\/7?  (a) 3  (b) -0.4  (c) -0.1  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 220 - 223. Let k(z) = -z - 15. Let p be k(4). Let c = -15 - p. Put 1, c, j in decreasing order.\nAnswer: c, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 27\/30*60\/(-36). Which is smaller: 14 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -27*u**2 - 19*u**2 + 2791*u**3 + 40*u**2 + 6*u**2.\nAnswer: 2791*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j - 372 = -25*j + 978. Solve 0 = -71*p + j*p + 63 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -27 - -54. Suppose 5*c - 20 = -5. Suppose 5*n = y + 10 + 19, l = 3*n - c*y. Solve -15 = -0*x - n*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -d (base 16) to base 14.\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5 = 5*b, -3601*n + 3605*n + 4*b = -8 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*u**2 + 2 - 2)*(2 - 2 - 2*u) - u - 28*u**2 + 28*u**2 - 2*u**3.\nAnswer: -6*u**3 - u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3826 is divided by 87?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*j = 1743 - 1671. Let c(f) = -f**3 + 8*f**2 + 10*f - 6. Calculate c(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -r*x**5 - 198*r*x**2 + 4*r*x - 14*r + 2*x**3 - x**2 + 3*x + 36 wrt x?\nAnswer: -20*r*x**3 - 396*r + 12*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -o**4 + 2*o**3 - 700*o**2 - 699*o**2 + 1395*o**2 - 5 to the form q + u*o**4 + x*o**2 + g*o**3 + n*o and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 294, 2496, 6172, 11322, 17946?\n\"Answer: 737*l**2 - 9*l - 434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.64545 less than or equal to 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-64)\/40*(155\/(-10) - -3). Calculate the greatest common factor of b and 92.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-16)\/(-10)*(3 - -2). Let c be (-3)\/2*r\/18. Let n = 0.07 - -3.93. Put n, c, -4 in descending order.\nAnswer: n, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3 - 2) + -1 + -10.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 75099119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 216 divide 5278392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.5 - -44747.3.\nAnswer: 44746.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -86, -103, -146, -227, -358?\nAnswer: -551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -10553 (base 10) to base 12\nAnswer: -6135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 182444860?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 946362.5 - 24415419\nAnswer: -23469056.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 less than 0.80714872507?\nAnswer: -11.19285127493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 242 + -242.366. Let h = 0.024 - k. Let u = -0.390034 + h. What is u rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.12437 to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -8 - -8. Let o be (-1)\/((-3 - x)\/9). Which is the nearest to o?  (a) -1  (b) 1  (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1335*v - 19 + 35 - 14 - 2.\nAnswer: -1335*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-nine halves of a day in hours?\nAnswer: 348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -603, -597, -589, -579?\nAnswer: -567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.331638 rounded to three decimal places?\nAnswer: 0.332","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.62 - 0.08. Which is greater: -5 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*i**3 + 73 + 59 - 16 in the form v*i + l*i**2 + p + c*i**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -456 - -6?\nAnswer: -450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = 14*b - 14. Let r(h) = -5*h + 5. Let w(c) = 6*k(c) + 17*r(c). Let f be w(7). What is the remainder when 13 is divided by 9\/(-3)*10\/f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 474869 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 6 + 181*a**2 + 0 - 19*a.\nAnswer: 181*a**2 - 19*a + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 9, -55, 53051?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = 2*u**3 - 43*u**2 + 13*u + 10. Let m be d(21). Let j = m + 504. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 8.377561 to 2 dps.\nAnswer: 8.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 11.1 + -11. What is the nearest to -1 in -2\/159, a, 5?\nAnswer: -2\/159","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) be the first derivative of h**4\/8 - 5*h**2\/2 - 4. Let q(d) be the second derivative of u(d). Let c(t) = 2*t**2. What is c(q(r))?\nAnswer: 18*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u\/(u\/(u\/u**(1\/48))*u)*u*u)**(1\/4)\/((u\/((((u*u**(-21)*u*u*u)\/u)\/u*u)\/u)*u)\/u**16))**0 assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 39 divide 7800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 4667641157 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*k**2 - 88*k - 340.\nAnswer: -4*(k + 5)*(k + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = h**2 + h + 1. Let n(w) = -7*w - 7. Let o(t) = -14*b(t) - 2*n(t). Let a(f) be the second derivative of f**4\/12 + 11*f. Calculate o(a(z)).\nAnswer: -14*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -246997 divided by -5?\nAnswer: 246997\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = 1410*u**2 + 113*u - 346. List the prime factors of g(3).\nAnswer: 11, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4398259, -17593001, -39584231, -70371943, -109956131, -158336789, -215513911, -281487491?\nAnswer: -356257523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 1\/6  (b) 0.5  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y = -5*o + 52, -o - 3*o + 32 = y. Suppose 0 = -3*n + 20 + y. Suppose -k = -m - n, -3*k + 41 = 3*m - 5*m. Is k a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:11 PM and 4:58 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = 28237*y + 1. Let x(m) = -m. Give i(x(q)).\nAnswer: -28237*q + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a**2 - 55*a + 50 = 0. Calculate a.\nAnswer: 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = m**3 - 4*m**2 + 5*m - 4. Let k be u(3). Solve q + 1 - k = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = c**3 + 9*c**2 - 2*c - 2. Let w be h(-9). Solve -t - 3*t - w = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -639, -2567, -5781, -10281?\nAnswer: -16067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*y**3 + y**3 + 0*y**3.\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 2.24 * 0.032953\nAnswer: 0.07381472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -1. Let z(g) = -g + 2. Let o(a) = -2*h(a) - z(a). Let q(w) = -8*w. Give 51*o(u) + 6*q(u).\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w - a + 1 = 0, 2*a = -w - 3 - 1. Let x(o) = 3*o + 3. Let v(k) = k + 1. Calculate w*x(n) - 4*v(n).\nAnswer: 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -923.923 - 1.077. Let s = 905.85 + c. Let y = 18 + s. What is y rounded to one decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*s**2 + 17*s**3 + 0*s**2.\nAnswer: 17*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -i**3 - 67*i**2 + 67*i - 76. Let n be v(-68). Let d(p) = 9*p - 15. Let w(o) = -14*o + 22. Give n*d(h) - 5*w(h).\nAnswer: -2*h + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -1c (base 16) to base 5\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 38.34 - 38. Let v = f + -2.34. Let k = 0.3 - 0.8. Sort 2\/5, k, v in increasing order.\nAnswer: v, k, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 453349 and 1870414?\nAnswer: 1516905754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -25918, -25914, -25910, -25906, -25902, -25898?\nAnswer: -25894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -34 + 0. Suppose 82*u - 198 = 80*u. Let j = v + u. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 9806 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 240597, 481202, 721823, 962466, 1203137, 1443842, 1684587?\nAnswer: 1925378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -0.1 * 281.81\nAnswer: -28.181","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -16  (b) -3  (c) 0.4  (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 207, 384, 557, 726?\n\"Answer: -2*z**2 + 183*z + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-11)\/(462\/(-72)) - 4\/(-14). Solve 0 = z*t - 6*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 176, 337, 498, 659, 820, 981?\n\"Answer: 161*b + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2827, 3774, 4795, 5884, 7035, 8242, 9499, 10800?\nAnswer: 12139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = 2*h**2 + 905*h - 49207. What is a(49)?\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 14 + -14. Find the first derivative of -z**2 + t*z**2 - 3 + z**2 - 3*z**2 wrt z.\nAnswer: -6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5581603 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -68 - -82. Let j(c) = c - 9. Let i be j(f). Suppose 0 = -2*q + 2, 4*q - 24 = m - i*m. Put m, 6, -2, -5 in increasing order.\nAnswer: -5, -2, m, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = 37*r - 12. Let u = -680 + 897. Let y(d) = 1333*d - 434. Let z(k) = u*w(k) - 6*y(k). Let p(c) = -4*c**2. Determine z(p(s)).\nAnswer: -124*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -13200*i. Let r(d) = -d**2. What is p(r(l))?\nAnswer: 13200*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n + 4*o - 1520 = -24956, 4*n + 5*o + 31250 = 0. Is -7820 less than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a = d + 3, 5*d - 8 = 5*a - 7*a. What is the remainder when d is divided by (-3)\/3*(-1 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -78*(-14)\/(-6468)*14*33\/6.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) be the second derivative of 3*p**5\/20 + 3*p**4\/4 + 3*p**3\/2 + 3*p**2\/2 + 81*p. Determine m, given that b(m) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nnpkkpkplkklyynkn. Give prob of sequence yn.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 4 + 2113?\nAnswer: 2121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dbdyvlrlyddddydd. What is prob of picking 1 l and 1 b?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t - 6 = 0, t = 3*q + 2*t - 12. Let a be (-9)\/(-6)*(-4)\/(-3). Suppose 0 = -a*v - v + 3. What is the nearest to v in -1, q, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 18.4 - 19. Let i = 1.6 + w. Which is the nearest to i?  (a) 2  (b) -5\/6  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -p**2 + 5*p - 1. Let u be m(4). Let w = 2 + -6. Let k be w + 0 + -2 + 6. Sort 5, k, u in descending order.\nAnswer: 5, u, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = d**3 - 8*d**2 - 13*d + 9. Let s be l(9). Let k = s + 47. Is 4 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 30317*b - 30317*b + 51*b**3.\nAnswer: 51*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 432253580.\nAnswer: 2, 5, 11, 1964789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -1288, -1263, -1236, -1219, -1224, -1263?\n\"Answer: -2*w**3 + 13*w**2 - 1299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -425, -403, -381?\n\"Answer: 22*c - 447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2322 and 2580.\nAnswer: 23220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 7737\/8450 + 15\/338. What is the common denominator of -61\/180 and g?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 72 + 19. What is the greatest common factor of 7 and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -275, -2, 2, -4, 16, 3, 7 in descending order.\nAnswer: 16, 7, 3, 2, -2, -4, -275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3\/17?  (a) -22  (b) 1\/2  (c) 1  (d) 0.139\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find j such that 5*j**2\/2 - 227815*j + 455625\/2 = 0.\nAnswer: 1, 91125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -9*m**4 - 195495*m**2 - m - 37953486.\nAnswer: -36*m**3 - 390990*m - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -2*m**5 + 6*m**4 - m**2 + 1. Let c(q) = 12*q**5 - 124*q**4 + 812*q**3 - 2488*q**2 + 2928*q - 1156. Let w(x) = -4*b(x) - c(x). Solve w(n) = 0.\nAnswer: 1, 3, 8, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -12800 at least as big as -13386?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*c**3 - 120 + 50*c**3 + 361 - 122 - 118.\nAnswer: 43*c**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 451082706.\nAnswer: 2, 3, 75180451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.04?  (a) -46.184  (b) 0.3  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-633 + 174*l**3 + 633)*(4*l**2 - l**2 + 0*l**2).\nAnswer: 522*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -35 - (-61 - (41 - 94)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -96991\/1806 + 1123\/21. Find the common denominator of -59\/4 and b.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert b7637 (base 12) to base 7.\nAnswer: 2022625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 5*a - 9. Let f be s(3). Let u be (-2)\/(-6) - f\/36*-10. Solve 2*o = 3*o + u for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(11) + 1 + sqrt(11) + -5 - (sqrt(66)\/sqrt(2))\/sqrt(3).\nAnswer: -4 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 14\/13?  (a) 0.3  (b) 9  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -219528, -219529, -219530?\nAnswer: -219531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*t + 3*t - 2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 38388 and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -3 + -43?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = 2*x + 5. Let g(k) = -6*k**2 + 34*k + 6. Let u be g(6). Calculate t(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-95 - (1 + -7 + -10 + 2 + 9)) + 2?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 29963 is divided by 153?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + 4*j - 1718 = 0, 8*w - 3*w - 2*j = 8546. Is 38 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = w**2 + 20*w + 12. Let j be r(-18). Let p be (12\/j)\/(2 + (-75)\/36). Solve p*o = o - 2*d - 23, -2*d + 4 = -4*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 33*v + 23*v + 85*v - v in the form g + q*v and give q.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**5*i)\/(i*i\/(i**(-6)\/i)*i)*i**(-2)\/((i*i**(1\/5)\/i)\/i))\/(((i**4\/i)\/i**(-2\/19))\/(((i*i*(i*i\/(i**(2\/7)\/i))\/i)\/i)\/i*i)**35) assuming i is positive.\nAnswer: i**(8236\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 13 - 52046?\nAnswer: -52033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 62*(4\/6)\/(-1)*-36*23\/(-5520).\nAnswer: -31\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -386 + 78 = 22*u for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 17, 5, -3, -4, -1, -2 in ascending order.\nAnswer: -4, -3, -2, -1, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.9 + 1. Suppose 7*u = -17 - 11. What is the third smallest value in 2\/11, f, u?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 9*k**4*l - 18362*k*l**3 - 473*l**3 + 186*l**2 + 2*l - 1 wrt k?\nAnswer: 36*k**3*l - 18362*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 645 or 567?\nAnswer: 567","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -o**2 + 4*o - 10. Let x(m) = 6*m**2 + 5*m + 4. Let k be x(-1). Determine y(k).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -11879808, -23759621, -35639434, -47519247, -59399060?\n\"Answer: -11879813*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 13*x - 48. Let s be q(8). Suppose -7*u + s = 35. Suppose 5*y + 15 = 55. Calculate the smallest common multiple of u and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*c - 1518 + 1558. Sort c, 0, -64 in decreasing order.\nAnswer: 0, c, -64","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 101201000220210 (base 3) in base 7?\nAnswer: 66233112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (sqrt(27) + -3 - (sqrt(3) + 1*(sqrt(3) + 4))).\nAnswer: -4 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 98080.\nAnswer: 2, 5, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -293 - -343. What is the greatest common divisor of x and 1175?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eeeeeenneeee. Give prob of picking 1 n and 1 e.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -8?  (a) -0.2  (b) -4  (c) -31  (d) -184548\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 216260 and 168?\nAnswer: 9082920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 86 a factor of 10148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -80*m**2*v**3 - 4987594*m**2*v**2 - 3335*m*v**3 - 4*v**3 - v**2 wrt v?\nAnswer: -480*m**2 - 20010*m - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) be the first derivative of -28*k**5\/5 - 7*k**3\/3 - 240. Find the third derivative of s(a) wrt a.\nAnswer: -672*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 15322900?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1002100200201 - 12?\nAnswer: 1002100200112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 512, -3, 11, 2 in ascending order.\nAnswer: -3, -2, 2, 11, 512","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Determine g, given that -g**2\/2 - 13609*g - 185204881\/2 = 0.\nAnswer: -13609","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = i**3 + 13*i**2 + 9*i - 28. Let p be c(-12). Solve -2*l = -2*l + p*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 2033 = -20943?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 64093?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (-68688)\/6804 + (-8)\/(-84)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 72, 3172, 9290, 18420, 30556, 45692?\n\"Answer: -o**3 + 1515*o**2 - 1438*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -4 - -43?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sum 3.4 and 25.781143.\nAnswer: 29.181143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5247 is divided by 1282?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) be the second derivative of t**3\/2 + 3*t**2 + 2*t. Let l(p) = -7. Let h(g) = 13. Let f(q) = -6*h(q) - 11*l(q). Calculate 6*f(u) + x(u).\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -64 + 44.3. Let u = t + 20. What is the second biggest value in 12, u, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 19 + ((-32)\/(-12))\/(-4)*6. Suppose -610 = -5*s - 0*s. Suppose 0*w - 4*w = -h + 64, 0 = -2*h + 2*w + s. What is the highest common divisor of t and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 15217 - 3665. What is the greatest common divisor of 32 and j?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 4 = -0. Let y be ((-2)\/(-8))\/(8*(-2)\/(-128)). Determine v, given that -2*v**y + i*v**4 + 18 + 24*v + v**2 - 3*v**2 - 8*v**3 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 702 and 78780.\nAnswer: 709020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = z - 39. Give s(-6).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 + 8 = -2*f. Solve 3*q**4 + 5*q**5 - 20*q**2 - 3*q**3 + 33*q**3 - 23*q**4 + f*q = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in twenty-nine sixths of a millennium?\nAnswer: 58000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 81691765 divided by -89?\nAnswer: -917885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 89871, 358634, 804959, 1427526, 2225015, 3196106?\n\"Answer: -220*x**3 + 90101*x**2 - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find c such that -2*c**5\/7 - 7634*c**4\/21 - 36774*c**3 + 3829682*c**2\/21 + 2070140*c\/7 + 538704\/7 = 0.\nAnswer: -1161, -116, -1, -1\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor y**2 + 62712*y + 983198736.\nAnswer: (y + 31356)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1.64 + -11.54. Let o = -10 - n. Let f be 504\/(-231) + (3 - 1). What is the closest to o in f, 17, 2\/7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 54597 is divided by 53898?\nAnswer: 699","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -m - 2. Let g = 404 + -398. Let w(r) = -6*r - 13. Give g*w(p) - 39*f(p).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 153 + 83 + 120 + -316\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 4 + 0 - 3 - 116*x - 137*x + 246*x.\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -129?  (a) 0  (b) 20  (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -99.42166957954 - -1423675.03166897954. Let w = v + -1423591.61. Let i = 16 + w. What is i rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = 69*l - 2251. Let q(y) = -7*y**2. Give x(q(v)).\nAnswer: -483*v**2 - 2251","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -304*j**6*q - 2*j**3*q - 95*j**2*q - q + 1 wrt j.\nAnswer: -36480*j**3*q - 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -78 - (-15 + 11 + 15 - (-30 + 37))\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o = 4*i - 32, -5*o + i = 4*i - 35. Let h(p) = -p**3 + 2*p**2 - 4*p - 5. Let x(t) = t**2. Let v(b) = h(b) + 3*x(b). Determine v(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1680)\/(-42))\/(13 + -5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**(-2))**(1\/44)\/(u**(-2)\/u*u*u**(-18)*u))**(-1\/4) assuming u is positive.\nAnswer: u**(-417\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1  (b) -0.06  (c) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 22010 + 3040?\nAnswer: 30100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 8*f - 19. Let s be l(-3). Let b = -38 - s. Solve b*u = -7 - 13 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2 - -2.2. Let v = -0.4 - 55.6. Let o = v + 55.9. What is the closest to l in o, 18, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 4887762 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in twenty-nine fifths of a tonne?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 687 minutes before 6:25 AM?\nAnswer: 6:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 674 - 376. Let w = -298.0000845 + l. Round w to 5 dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 186851292?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 2705 divided by 65?\nAnswer: 541\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c\/c**(-4))\/(((c**(1\/7)*c*c)\/c)\/c))**(1\/3)\/(((c*c\/c**2*c*c)\/c)**(-38)\/(c\/(c*c**(-4)*c)*c\/(((c\/(c**6*c*c))\/c)\/c))) assuming c is positive.\nAnswer: c**(1105\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2546 + -996. Calculate the remainder when m is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9835 (base 10) to base 4.\nAnswer: 2121223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(2299) - sqrt(2299)*-2*6 - (sqrt(2299) + (sqrt(2299) - -6*(-1*sqrt(2299) + sqrt(2299)))))*6)**2*5.\nAnswer: 50072220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3229, 18679, 60601, 142231, 276805, 477559?\nAnswer: 757729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -3329*t + 5. Let r be b(-2). Let x = r - 10638. Let c = x + 23993\/6. What is the common denominator of c and 51\/22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**12*w)\/(w*(w\/(w\/(w**4*w)*w*w))\/w)*w*w\/(w*w**(-1\/5)\/w*w*w*w)*w\/(w\/(w**(-5\/2)\/w))*w*w*w assuming w is positive.\nAnswer: w**(87\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/4*1)\/((-180)\/240)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -722 = -7*n - 57. What is the derivative of -4 - 82 - 17*m - n*m wrt m?\nAnswer: -112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -79 in -127, -5, 2\/387, -0.1?\nAnswer: -127","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (5 - 1 - -1 - 5) + 7\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -19*v + 113. Give t(3).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f - 2 = -b, -5*f = -3*b - 0*f + 6. Suppose -2*c + 8*x + 44 = 3*x, 0 = -4*c + b*x + 104. Calculate the remainder when c is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 81 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*y - 10*y = 1524. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 80 + -75. Let r(y) = -27*y**2 + 5*y - 4. Let p(q) = q. Let n(u) = x*p(u) - r(u). What is the derivative of n(i) wrt i?\nAnswer: 54*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -55*o - 42. Let r(b) = -2058*b. Calculate p(r(n)).\nAnswer: 113190*n - 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 0.1, -3, -2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 109 is divided by (11157\/(-18595))\/((-1)\/(-175)*-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 988870, 988854, 988826, 988786, 988734, 988670, 988594?\nAnswer: 988506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2870?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-3)\/((-4)\/(-24)*-9). Suppose 5*k - 30 - 126 = -4*x, 228 = 5*x - o*k. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 27\/4 of a millennium in months?\nAnswer: 81000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -16 + 16. Put -5, w, -2 in increasing order.\nAnswer: -5, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2b8adb (base 14) in base 4?\nAnswer: -11303222121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2 - -5. Let n(u) = u**2 - 25*u - 150. Let k be n(-5). Suppose -2 = p, -5*o - p + r + 6 = k. Solve w + o*w - 20 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 89, 580, 1401, 2552?\nAnswer: 4033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l - 9 = 5*l, 3*n - 4*l - 72 = 0. What is the smallest common multiple of 28 and n?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) be the third derivative of m**4\/4 - 9*m**3\/2 - 27*m**2. Let w be r(6). Is 23*28 + -6 + w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4197\/17 - -247. What is the second smallest value in -1, o, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 776, 1417, 2058?\n\"Answer: 641*p + 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 364*z - 362*z + 59*z**2 - 2*z**2 to c*z**2 + x*z + a and give c.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 301344714 and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 7 = 97*m - 96*m, -7 = -2*a - m. What is the closest to 0 in a, 18, 2\/35?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2990637 to the nearest integer?\nAnswer: 1729","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -0.1, -1\/7, -2004794.\nAnswer: -2004794, -3, -1\/7, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -7625420, -15250831, -22876242, -30501653?\n\"Answer: -7625411*k - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 1 + 0)*(10 + 4 - 3)*(-68 - 18*m**2 + 2*m + 68).\nAnswer: 198*m**2 - 22*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - k - 2 = 0. Let v(s) = 1 - 2 - 1 - 3*s**k - 1. Let q(u) = 4*u**2 + u + 4. Let c(f) = -6*q(f) - 7*v(f). Factor c(w).\nAnswer: -3*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - 2*a = -10, 3*a - 25 = -5*f - 3. Let v be 6*3\/(-60)*f. Put 1, -0.1, v in ascending order.\nAnswer: v, -0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 times 6571769\nAnswer: 26287076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 32971550*c**3*n**2 - c**2*n**2 + 12*c**2 + 71*c*n + n**2 + 99*n wrt c?\nAnswer: 197829300*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 101 - -119\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 427222 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 470862?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2207019\/56 - -39409. Calculate the common denominator of x and -71\/98.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ohhhmoommmm. Give prob of picking 2 o, 1 h, and 1 m.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 divided by 22555343?\nAnswer: 5\/22555343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 56 - (-4 - -5 - ((-12 - (-21 + 6)) + 1))?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 5, 1\/523, 3\/10, -1, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Let z(w) be the first derivative of -w**5\/60 + w**3\/3 + 9. Let q(f) be the third derivative of z(f). Let g(n) = -5*n. Give q(g(t)).\nAnswer: 10*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -44.789 - -44.5. Let s = t - 0.093. Round s to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find v, given that -71\/7*v - 138\/7 - 1\/7*v**2 = 0.\nAnswer: -69, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) be the second derivative of -f**4\/12 + f**3\/6 + 5*f**2 + 7*f. Determine t(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/18)\/(310\/30 + -10).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 133431302 (base 6) in base 10?\nAnswer: 2694710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -n**3 - 2*n**5 + n**3 + (3*n - n - 3*n)*(2*n**4 + n**2 - n**2) - 6*n**5 - n**5 + 2*n**5 + (0*n - n + 3*n)*(-7517*n + 7517*n - 96*n**4 + n**2).\nAnswer: -201*n**5 + 2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -8875 and -0.1?\nAnswer: 887.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*b = 1041 + 339. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve b + 13 = -f, 411*f - 406*f + 55*b = 12*b + 87 for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = y**3 + y**2 + y. Let l = 5 + -2. Suppose -2*w = b - 6, -4*b - 4 = -l*b - 3*w. Let d(k) = 5*k**b + 2 + 7*k**3 - 4 + 0 + 6*k. Give d(c) - 6*q(c).\nAnswer: c**3 - c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.33, 2\/11, 14, 2, -0.4 in decreasing order.\nAnswer: 14, 2, 2\/11, -0.33, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = 108*y**2 + 1493*y + 8923. Calculate o(-6).\nAnswer: 3853","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is -173006356 smaller than -173006364?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00102535 to 6 decimal places.\nAnswer: 0.001025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 53, 64, 77, 92, 109?\n\"Answer: f**2 + 8*f + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - -9 - (-6 - 3 - -14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) be the second derivative of r**5\/60 + 5*r**4\/24 - r**3 + 7*r**2\/2 - 8*r. Let h(v) be the first derivative of z(v). What is h(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 4*h - 4*o, -3*h - 3*o + 6 = -0*h. List the prime factors of -35*(-4 + h) - 3.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -a + 5. Let h be z(4). Let l = h - -5. What is the derivative of g**2 + 1 - 3 - l*g**2 wrt g?\nAnswer: -10*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = 23*t**3 - 6*t**2 - 9*t - 17. Let q(i) = 8*i**3 - 2*i**2 - 3*i - 6. Give 6*a(g) - 17*q(g).\nAnswer: 2*g**3 - 2*g**2 - 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j - 25 = -4*x, 5*j - 25 = -x - x. Let u = 2 - x. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -2*h - 13. Let o be z(-9). Solve -2*j - 11 = -j + 5*g, 0 = j - 3*g - o for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 458917?\nAnswer: 458917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -y = 6*x + 27, -135*x + 138*x - y = -18 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**2\/(v\/(v*v**(-7)*v))*v**(1\/2)*v*v**9 assuming v is positive.\nAnswer: v**(13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of i*q*u*w + i*q - 2*i*u*w + 5*i*w - 421*q*u*w + 2*q*u - 379*u*w - 2*w + 2 wrt q?\nAnswer: i*u*w + i - 421*u*w + 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*k**2*p**3 + 656*k**2*p**2*r + k**2*p**2 - 10*k*p**3*r + 67*k*p**3 + 2*k*p**2*r + 2*k*p*r - p**2*r wrt k?\nAnswer: -4*p**3 + 1312*p**2*r + 2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -2*w**3 + 4*w**2 + 2*w - 6. Let l be c(4). Let v be (-8)\/44 - l\/(-22). Sort -5, 0, v.\nAnswer: -5, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 701 and 104947411?\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1)\/3 + (-552)\/(-90). Do 0.2 and s have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -219*c - 219*c + 437*c.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000048573 rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8846*v + 300 = 8899*v - 283. Let c = -3 + -4. What is the lowest common multiple of 102\/14 - (-2)\/c and v?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -4635 - -4637. Put 0, d, 7, -25, 1 in increasing order.\nAnswer: -25, 0, 1, d, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18365736?\nAnswer: 2, 3, 409, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = 24*y**2 - 5*y - 315. Does 91 divide n(18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2255970181 to the nearest integer?\nAnswer: 1312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:28 AM and 11:21 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from jeoooojojooojjj?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3225 - 3147. What is the remainder when 169 is divided by i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2393773?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 32320140?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -0.33 * -31\nAnswer: 10.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 72465300 rounded to the nearest 1000000?\nAnswer: 72000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = w + 15. Let v be t(-12). Suppose -4*l - v*u = -3*l, 0 = 3*l - 4*u. Let z = 53.2 + -53. Which is the closest to l?  (a) 0.01  (b) -1  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 6.3 - 6. Let k be -3 - (1 - -1)\/((-4)\/(-18)). Let y be (((-7)\/(-6))\/(-7))\/((-21)\/k). What is the smallest value in p, y, 2\/11?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -164*u**2 - 55*u**2 - 139 - 455*u**2 wrt u.\nAnswer: -1348*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*g + 7*g - 36 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -2*w**3 + 4*w**2 + w + 2. Let y(u) be the second derivative of -u**5\/10 + 5*u**4\/12 + u**3\/6 + 3*u**2\/2 - u. Determine -3*n(x) + 2*y(x).\nAnswer: 2*x**3 - 2*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -39 or -41?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 9.959 - -23.745. Round u to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.1 - -0.08. Let l = q - -2.02. Let t = 2.2 - l. What is the nearest to 0 in t, 3, -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -c**2 + 10*c + 50. What is z(13)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1 + -101222212102121?\nAnswer: -101222212102122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 16*l**2 + 137*l + 12. Give u(-9).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = f**2 + 4*f + 3. Let p(a) = -6*a**3 - a**2 + 2*a - 1. Let v be p(1). Let k be z(v). Is (947 - 0)*(k - 14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-2)\/(-4) + 39\/6. Let q be (-2 - y\/(-4))*-4. Suppose -6 = 3*g - 0. Put 3\/5, g, q in increasing order.\nAnswer: g, 3\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4b2c2 (base 15) to base 6.\nAnswer: -5052145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 3141461 a multiple of 101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -5 + -180b9a?\nAnswer: -180ba0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*sqrt(75) + 2.\nAnswer: -15*sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 182113 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2, 5, -4, 19?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 10433, 5, 93, 0, 4 in descending order.\nAnswer: 10433, 93, 5, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 27534 and 1196?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + sqrt(245)*-2 + sqrt(245) + sqrt(245) + 1 + -4)**2 + -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -z**3 + 9*z**2 - 7*z + 12. Let i be l(8). Suppose 7 = g - 1. What is the highest common factor of g and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 + 39 + (-22 - -4)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.27 and 0.221?\nAnswer: -0.05967","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4 - (-4 + 0 - -13)) + 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 5*1\/(25\/(-70))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 405878527?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -152*h + 5. Let t(p) = 51*p - 2. Let y = -24 + 32. Let o(r) = y*t(r) + 3*w(r). What is the tens digit of o(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 161, 179, 197, 215, 233?\n\"Answer: 18*p + 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 - -3 - (-33 + 40).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 283, 493, 705, 919?\nAnswer: 1135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 47*q**5\/5 - 244*q**4 + 3144*q**3\/5 + 64526*q**2\/5 + 12533*q + 510 = 0 for q.\nAnswer: -5, -1, -2\/47, 15, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 1\/20 of a milligram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -67, -247, -545, -961, -1495?\n\"Answer: -59*w**2 - 3*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*p + 169 = -230192*u + 230194*u - 349, 3*p - 314 = 2*u for p.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-96)\/44)\/(132\/(-726))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -408 = 8*g - 37*g - 5*g for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000057 to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (((-2 + 4 - 1)*(-20 + 2 - 2) + 2 + 0 + 0)*(3 + 2 - 3) + (3 - 2 + 1)*(4 - 3 - 2))*(-2*d**2 + 2*d**2 - 2*d**3).\nAnswer: 76*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -13*x - 0*x + 5889. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*s**3 + 3829 - 3829.\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 42341 is divided by 2005.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 96033600\/(-1655280) - (-2)\/121?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 407525 is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) be the first derivative of -n**5\/25 + n**3\/5 - n**2\/5 + 8. Factor m(p).\nAnswer: -p*(p - 1)**2*(p + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(2*(4*sqrt(65) + sqrt(65)) - sqrt(65))\/(-3*sqrt(605))*-4*2.\nAnswer: -48*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 265, -1, 37, -2 in decreasing order.\nAnswer: 265, 37, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 184 a factor of 137998?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -223 - -220.725. What is o rounded to 1 decimal place?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -124 + 59. Let j be ((-18)\/(-12))\/(2\/208). Let k = y + j. Is k a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -s**3 + 24*s**2 + 21*s + 23. Is t(22) a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12877 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -55*x + 44*x = -22. Suppose -3898 = -5*a - b, a - 788 = 6*b - x*b. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -130*c + 130*c + c**2 - 189 - 3*c**2 in the form x*c**2 + r + u*c and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -37, -112, -219, -358, -529?\n\"Answer: -16*g**2 - 27*g + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -526, -847, -1348, -2119, -3250?\n\"Answer: -15*j**3 - 216*j - 295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1332283 to the nearest integer?\nAnswer: 1154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = h**3 - 16*h**2 + 12*h + 51. Give l(15).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1418 or -1047?\nAnswer: -1418","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = f**3 - 47*f**2 + 308*f + 2295. What is w(37)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 547 minutes after 3:18 PM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = -4*c + 148. Let x = -36 + 66. Suppose -x*v + c*v - 3 = 0. Solve -s - v*s = -20 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2192829436 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -246.93 or -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 4\/(-3)*(-459)\/612. Let w = 3.2 - 3. What is the closest to 2\/5 in 57, w, p?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 18560192 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) be the second derivative of -p**5\/10 + 13*p**4\/6 - p**3\/3 + 14*p**2 + 24*p - 4. Let d be t(13). Solve 4*w - 4 = -4*q, -3*w - 3 = -q + d for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = 266466*p + 2131713. Determine r(-8).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.0333 in 90, 3\/44, -0.4, 2?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 4\/(-2)*-1*1. Suppose o - t = 9. Is 10 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 63 or 62?\nAnswer: 63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.36, 0, -20, 316.\nAnswer: -20, -0.36, 0, 316","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -47*t + 9 = -46*t. Suppose -c + 2*p - 2 = 0, 8*c + 1 = t*c - p. What is the hundreds digit of -395*(-1)\/(10\/c) - 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1219286 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-20*s**2 + 65*s**2 + 16*s**2)*(0*s - s + 3*s + 15).\nAnswer: 122*s**3 + 915*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 358 = -5*v + 2*c + 1458, -c = 0. What are the prime factors of v?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 6, 18, 30?\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 61 - 1 - -1 - (475 + 414 + -882)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 2450845009 to the power of 1\/3, to the nearest integer?\nAnswer: 1348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*q + 23*q**3 + 39*q - 21*q - 1 + 0*q - 9*q.\nAnswer: 23*q**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 4854384*q - 3947639 wrt q.\nAnswer: 4854384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 9*u**2 - 11*u**2 + 4*u**2 - 2*u**3 + 123 to r + y*u + w*u**2 + b*u**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9.205553ml to litres.\nAnswer: 0.009205553","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 greater than or equal to 5\/1542709?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1.3154 + 3.6846. Which is the second biggest value?  (a) 2\/13  (b) w  (c) 0.3  (d) -0.02  (e) -0.33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 16971?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -31 + 151*t - 1460*t + 95*t.\nAnswer: -1214*t - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 261\/13172860 or 1?\nAnswer: 261\/13172860","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 24 = 4*t, 3*t + 90 - 60 = 5*h. Let k be (-63)\/1323 + (2\/h - 0). Let -4\/7 + k*c - 2\/7*c**3 + 4\/7*c**2 = 0. Calculate c.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 290068425?\nAnswer: 3, 5, 429731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -127, -257, -389, -523, -659, -797, -937?\n\"Answer: -z**2 - 127*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*x + 3*z - 4931 = 16*x, 2*x - 4*z = -1964. Which is greater: x or -986?\nAnswer: -986","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -2. Let g(r) = -10020*r**2 + r - 10. Give -5*c(n) + g(n).\nAnswer: -10020*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -3\/14, -8.31, 1\/5, 0, -40, 4 in descending order.\nAnswer: 4, 1\/5, 0, -3\/14, -8.31, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -363 + 403. What is the highest common factor of m and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = 15*g**2 - g + 11. Let a(k) = -5*k**2 - 4. Let y(w) = 8*a(w) + 3*q(w). Let u = -8 + 11. Is y(u) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 376 and 188?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 11340 divided by -3780\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 545725?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (65\/(-130))\/(1\/(-1)*1).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.6339465 rounded to 2 decimal places?\nAnswer: -2.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 185 + -1298\/7. Find the common denominator of 6\/4 - 255\/(-6) and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 - 42 = -5*v. What are the prime factors of 1\/5 + 178\/v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2222?\nAnswer: 2, 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 43135 divided by -8627?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*z - z - z)*(z - z - z**3) - 1 + 1 - 2*z**4 + (0*z**3 + z**3 - 5*z**3)*(-6*z - 92*z - 14*z) to y*z + l + i*z**4 + w*z**3 + a*z**2 and give i.\nAnswer: 448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 less than -91199?\nAnswer: -91198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -8*d - 99. Suppose 14*z - 17*z - 25 = a, -z + 48 = -4*a. Let h be c(a). Solve 3*u + 26 = -h*b, 2*u + 4*b = -3*u - 26 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 838\/7 + -120. Are h and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -3009*l + 378*l + 520*l + 3562 wrt l?\nAnswer: -2111","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i = 5*i + 15, 113 = 4*x - i. Let z be 8\/2*1 - 135\/(-27). Suppose -h + 20 = 5*b, -2*h + 3 + z = -4*b. What is the remainder when x is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2416 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 14 - 12. Suppose -u = 2*z - 4, -13 - 3 = -m*z + 5*u. Let r(w) = -4*w - 85. Let y be r(-21). Put 2, y, z in descending order.\nAnswer: z, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (33*(-2)\/(-21))\/(4\/(-112)*-2)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 1\/18 of a hour?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = r**3 + 22*r**2 + 8*r - 19. Is d(-20) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -7.9795525 to 0 dps.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n**2 - 5340*n - 1163575 = 0. What is n?\nAnswer: -763, -305","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-88)\/(-924))\/((-3)\/42).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28 = -4*r + 4. Let u(s) = -s**2 - 7*s - 1. Let g be u(r). Suppose 7*k - 4 = g*k. Solve 0*x - k*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {o: 2, m: 2, n: 2, i: 8}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 5 + 11. Calculate the remainder when (-26)\/(-182) + 390\/14 is divided by w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -x**3 + 12*x**2 + 3. Let p be j(12). Suppose p*z - 40 = 2*z. Suppose -z - 40 = b. What is b rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2\/1 + (-102)\/(-6). Suppose 4*y + 3*o = -r, 2*o + 14 = 3*y - 7*y. Let c be (y - 3002) + (-2 - -5). What is c rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 65995061?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 21\/4 of a year?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:25 AM and 6:47 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.89 in -45, 1\/2, 27?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3 - ((3 - -52) + -20 + 19 - -13)) + 2.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 36 (base 15) to base 4\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -79\/60 and 79\/1624.\nAnswer: 24360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 62597641 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 69 minutes before 12:35 AM?\nAnswer: 11:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -62 (base 13) in base 3?\nAnswer: -2222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gkgggkkggk. What is prob of sequence gg?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1836) + sqrt(1836) + 1*sqrt(1836))\/sqrt(3)*6 + -4 + sqrt(17) + -5 + ((sqrt(119)*6)\/sqrt(7))**2.\nAnswer: 109*sqrt(17) + 603","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2080 and 416.\nAnswer: 2080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 188927 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor 124*c**3\/3 - 144112*c**2\/3 + 41885452*c\/3 - 2700488.\nAnswer: 4*(c - 581)**2*(31*c - 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - 7) + (1 - 31) + (-71 - -113).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kdk when three letters picked without replacement from kkdkkkkdkkkkkkkkkk?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -351, 17921, 36203, 54501, 72821?\nAnswer: 91169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (2 - 0)*(-24)\/(-12) + 11. Calculate the smallest common multiple of (5\/(j\/(-9)))\/(18\/(-60)) and 23.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 111 (base 3) in base 7?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) be the first derivative of u**5\/5 - 59*u**4\/4 + 380*u**3 - 3400*u**2 - 8000*u + 129. Factor s(b).\nAnswer: (b - 20)**3*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -124*i + 374 wrt i?\nAnswer: -124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 3*d**3 + 6*d**2 + 6279*d - 9. Let r(v) = 14*v**3 + 27*v**2 + 25117*v - 40. Calculate 2*r(a) - 9*y(a).\nAnswer: a**3 - 6277*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(3\/5))**(-5\/13)\/(q**18\/(q\/(q**19*q))) assuming q is positive.\nAnswer: q**(-484\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 547 a factor of 1032222043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2709*g**3 - 1814?\nAnswer: -8127*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1197 + 55 + (-33)\/(-6)*-2. What is the greatest common divisor of 73 and d?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 153597449 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2214 is divided by 895.\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Are 0.6 and 4443\/31 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2\/(-3) - (-3 - (-113)\/(-3)). Suppose 4*x = -5*a + 106, 4*a = 2*x + x - 95. Let s = i - x. Solve -s = 3*o + d, -2*d + 5 = -o - 3*d for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 2 + 0)*(-7*b**3 - 4*b**5 + 7*b**3) + 3*b**5 - 5 + 5 + (0*b**2 - b**2 + 3*b**2)*(-b**3 + 0*b**3 + 3*b**3) + 5*b**5 - 2*b**5 - b**5.\nAnswer: b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/4 in 4, -1\/8, -20, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -22728410 to the nearest 1000000.\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1401 + -781. Let z = r - 569. Is 0 at most as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 58211903 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11528 = 149*b + 167*b - 82*b + 998 for b.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) be the first derivative of -k**3 + 2*k**2 - 7. Find the second derivative of w(l) wrt l.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1448268857?\nAnswer: 7, 47, 4402033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 47*n**3 - 8*n**2 - 6*n + 2. Let o(z) = 94*z**3 - 14*z**2 - 11*z + 3. Calculate -4*o(v) + 7*r(v).\nAnswer: -47*v**3 + 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = n**2 - 7*n + 5. Let u be f(6). Let q(w) = w - 3 + 2 + 0. Let i(k) = 3*k**2 + 6*k - 6. Let d(y) = u*i(y) + 6*q(y). Factor d(b).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*s**3\/11 - 37260*s**2\/11 - 111702*s\/11 + 148968\/11 = 0 for s.\nAnswer: -6207, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 13351767 to the nearest integer?\nAnswer: 3654","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 366 and 1342.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -c + 1. Let o be p(-4). Sort -2, o, 2 in increasing order.\nAnswer: -2, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2350 divided by 2\nAnswer: -1175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6531100 + -2.\nAnswer: -6531102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) be the third derivative of -u**4\/12 - 6*u**2 + 9*u - 11. Let y(a) = a**2 + 3409*a. Determine y(t(o)).\nAnswer: 4*o**2 - 6818*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8)\/(-28) - (2 - 270\/84).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 693 minutes before 5:11 PM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 390 - 541. Let r = v - -153. Solve 3*u = -6, -2*u = r*z - u for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5296 + 3*h**2 - 2637 - 2659.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.3 - 8.3. Let s = d + 8. Is s smaller than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q and 1 x when two letters picked without replacement from {x: 1, y: 5, q: 2, b: 1, d: 1}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -5*u**5 - 31*u**3 + 1689*u**2 - 102717472*u wrt u.\nAnswer: -100*u**3 - 186*u + 3378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + (-5 - -2) + -7.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 4140.5 - 4140. What is the biggest value in -1\/2, v, 2, 4, 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1.59749 - -1.6. What is x rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 54 - 36. Suppose -2*k + 17 = 5*b - c, -b + k + 7 = 0. Suppose l = b*l - 156. What are the prime factors of l?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 3\/4, 0.4, 0.3, 2\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 15*r**2\/7 + 36*r\/7 - 27\/7.\nAnswer: 3*(r + 3)*(5*r - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 285340 and 88.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-c**2 + 0*c**2 + 2*c**2)*(-c**2 - c**2 - c**2)*(-7*c + 13 - 13 + (0*c + 0*c + c)*(-2 + 0 + 4))*(3 - 2 - 6).\nAnswer: -75*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 189333.\nAnswer: 3, 109, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d - 5*d = 0. Let l be (-2)\/(d - 1 - 0). What are the prime factors of (l - -1) + -1 + 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 13 - -17?\nAnswer: 2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -n - 4. Let p(h) = h**2 + 4*h - 1. Let q be p(-3). Let r be t(q). Find the first derivative of 0 + 2 - 2*u**2 + r*u**2 wrt u.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 782054199, 782054200, 782054201, 782054202, 782054203?\nAnswer: 782054204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 806*w - 1668*w + 4*w**3 + 862*w.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 1.78373227795+-3\nAnswer: -1.21626772205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -4*g + 12. Give x(8).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 8375136?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 104114 + -1?\nAnswer: 104113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 105  (b) 3  (c) -3\/53  (d) 76\/11  (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.096 + 0.404. What is the nearest to -0.1 in 1\/5, 1\/4, n?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine y, given that -502*y**5\/3 - 9038*y**4\/9 + 1170*y**3 + 54230*y**2\/9 - 6016*y - 8 = 0.\nAnswer: -6, -3, -1\/753, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*x - 1576 + 1548 = 0. Factor 0*r**3 + 2\/7*r**5 - 2\/7*r + 4\/7*r**x - 4\/7*r**2 + 0.\nAnswer: 2*r*(r - 1)*(r + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.4368566 to 2 decimal places.\nAnswer: 0.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -4 at least as big as -385.663?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*r + 4*r + i = -4*r - 34, 8 = 2*r - 2*i for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uhu when three letters picked without replacement from hhhuhu?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -3262, -6523, -9782, -13039, -16294, -19547?\n\"Answer: y**2 - 3264*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 239, -28, 1 in increasing order.\nAnswer: -28, -2, 1, 239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 103955473?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 13.72 to one decimal place.\nAnswer: 13.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3 + 0 + 14*z - 4*z + (z - z - z)*(0 - 3 + 5).\nAnswer: 8*z + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -4\/7  (b) 1  (c) -1\/38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-81)\/(-36) + ((-75)\/12 - -6). Put -4, 9, s, 3 in decreasing order.\nAnswer: 9, 3, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -164 or 2822.52?\nAnswer: 2822.52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(((sqrt(2448)*-2 + 2 - (sqrt(2448) + -1)*-6)*-3)**2 + -1).\nAnswer: -3456*sqrt(17) + 352655","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) be the second derivative of -y**5\/110 + 59*y**4\/66 - 1139*y**3\/33 + 7225*y**2\/11 - 4098*y. Determine l, given that i(l) = 0.\nAnswer: 17, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 343 is divided by 68?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3 by -21161.\nAnswer: 3\/21161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out -9350 * 342.\nAnswer: -3197700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.003549731 rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) be the first derivative of -2*f**3\/3 + 18*f**2\/5 + 16*f\/5 + 782. Factor i(d).\nAnswer: -2*(d - 4)*(5*d + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = l**2 + 2850 + l**3 - 2841 - 7*l**2 - l. What is b(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 230\/3335 + (-2620)\/145.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 22782790 divided by -634.\nAnswer: -35935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -21476*t**3 - t**2 + 93231 wrt t?\nAnswer: -64428*t**2 - 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -5596.42379 rounded to the nearest 10?\nAnswer: -5600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 704 minutes before 11:03 AM?\nAnswer: 11:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 735 and 910?\nAnswer: 19110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -0.427 * 25\nAnswer: -10.675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 220 and 8096.\nAnswer: 40480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2391, -2360, -2329, -2298, -2267, -2236?\nAnswer: -2205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*u = -7*u. Let b(n) be the third derivative of 0*n**3 + 0*n + 0 + n**2 + 1\/120*n**6 + u*n**4 - 1\/60*n**5. What is the third derivative of b(a) wrt a?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -20149232*z + 9989706 wrt z?\nAnswer: -20149232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -k**3 + 200*k**2 + 823*k - 1356. What is t(204)?\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2)\/7 - 1031\/(-7). Let o = d + -70. What is the highest common divisor of 11 and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -2*j**3 - j - 3 - j**2 + 0*j + 10 + j**3. What is the units digit of z(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 7\/69 - -3\/46. Let o = 0.9706 + 0.0294. Sort z, -7, -0.1, o in ascending order.\nAnswer: -7, -0.1, z, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2907 and 153.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -2 + t + 0 + 2 + 1. Let h be x(1). Let j be 1\/3 + (-1)\/3. Solve 16 = -3*i - 3*u + 5*u, -h*i + u - 9 = j for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from ttjjjtj?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/8992 or 0?\nAnswer: -1\/8992","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from cpecpcpppcjppcppc. Give prob of picking 1 e, 2 p, and 1 c.\nAnswer: 54\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 89\/4 and -27\/701825.\nAnswer: 2807300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 315.68208 rounded to 0 decimal places?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1133563815 to the nearest integer?\nAnswer: 1043","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 1, k: 1, x: 3}. Give prob of picking 1 k and 2 x.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + 6 + (-2 - 6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-18)\/(-20))\/(((-192)\/20)\/(-4))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 3*t**4 - 25. Let l(i) = 3*i**4 - 26. Let v(p) = -5*l(p) + 6*n(p). Find the first derivative of v(q) wrt q.\nAnswer: 12*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 90, 109, 124, 135?\nAnswer: 142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14520?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 280.39 - 280.39. Which is the nearest to k?  (a) -163  (b) 4  (c) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*k - k + k + (2 + 2 - 2)*(1 - 1 + 2*k) - 20 + 4*k + 20)*(19*k**2 + 8*k**2 - 10*k**2).\nAnswer: 17*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 16710\/19 - 880. What is the common denominator of 81\/8 and n?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8948 is divided by 429.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1045, 242, 1527, 2810, 4091, 5370?\nAnswer: 6647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put together -2 and -1472.\nAnswer: -1474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -24*b**3*c**3 + b**3*c**2 + 4094*b**3 + 4*b**2*c**3 + 14*b**2*c - 81*b*c**2 + 2*c wrt b?\nAnswer: -144*c**3 + 6*c**2 + 24564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 5*b = 30. What is the remainder when 30 is divided by (10\/b)\/(2\/33)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 339871 and 89677.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 178, -115, -3 in descending order.\nAnswer: 178, -2, -3, -115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 142354303 - -5?\nAnswer: 142354312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 - (-16 - (11 + -18 + -19)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:12 AM and 4:55 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = f**2 + 5*f + 1. Let w be v(-3). Let q(n) = -8*n**3 + 2*n**2 - 6*n + 6. Let d(m) = -7*m**3 + 2*m**2 - 5*m + 5. What is w*q(p) + 6*d(p)?\nAnswer: -2*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -2*n. Let u(i) = -i**2 - 21*i - 8. Let y be u(-14). Let w be 34\/6 - (-120)\/y. Let b(m) = 27*m - m + w*m. Give b(x(a)).\nAnswer: -66*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -29912790 or -29912788?\nAnswer: -29912790","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 4 + -236641?\nAnswer: -236635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 21747 and 165?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 65*d*t**3 - 19*d*t**2 - 3*d + t**2 - 16 wrt t?\nAnswer: 195*d*t**2 - 38*d*t + 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -10252*f**3 - 2*f**2 + 14398*f?\nAnswer: -61512*f - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 702688 and 2592.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = 4*y - 3*y. Let s(f) = f + 2. Let b be s(-3). What is the remainder when y is divided by 16\/(-56) - b*(-51)\/(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find j, given that -2*j**2\/7 + 27438*j\/7 + 164700\/7 = 0.\nAnswer: -6, 13725","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -3*l**2 - 3*l - 6. Determine x(-4).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 31256?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-25)\/(-2) - 12\/(-8). Let q(k) = 8*k - 2. Let n be q(5). Let y = n - r. Does 15 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -28301.1241 to the nearest one thousand.\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -142 + 140. What is the closest to 5 in s, -1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 - ((0 - 4) + 4) - (4 + 10).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 247?  (a) -1\/4  (b) 3  (c) -3\/535  (d) 1\/7  (e) 13\/6  (f) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3141664?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.93952 - -14.52782. Let f = 68.9 - 82.5. Let b = f + o. What is b rounded to 3 dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -410*l + 406*l = -4*c + 4347556, -4*c + l + 4347532 = 0. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -48314*y - 5362849. What is c(-111)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -t**2 - 9*t + 3. Let w be v(-9). Let b(f) = -f**3 + 7*f**2 + 9*f - 4. Let u be b(8). Solve 6 + u = -3*o - 2*r, -w*r = o + 15 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -11*b + 7*b + 28, 0 = -4*z + 6*b + 20530. Does 9 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*k + 7 + 1. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 3, q: 2, f: 2, y: 1, z: 2, b: 2}. Give prob of picking 1 y, 2 q, and 1 z.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (10\/(-12))\/(110\/660)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is ((4\/16)\/(-6*2\/(-224)))\/(50\/(-75))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 8997796, 17995550, 26993304, 35991058?\n\"Answer: 8997754*p + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-440)\/(-36) - 6\/27. Suppose 2*w = -4 + g. Is 7 a factor of (-108)\/(-63)*42\/w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -s**2 - 19*s - 51. Let v be d(-9). Let i = 196\/5 - v. Let z = -2 + 1. Which is the nearest to 1\/2?  (a) 4  (b) z  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 116611053*m**2 - m - 33657257 wrt m.\nAnswer: 233222106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 0.3 + 0.06491157\nAnswer: 0.36491157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 0.08+-449549\nAnswer: -449548.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 2160771 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000296 to 6 decimal places.\nAnswer: 0.000296","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Work out -12 * 692681.\nAnswer: -8312172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:13 AM and 12:02 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) be the third derivative of 13*y**9\/504 + y**5\/5 - 5*y**2. Find the third derivative of i(h) wrt h.\nAnswer: 1560*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) be the second derivative of -h**6\/6 - 2*h**5 - 5*h**4 - 973*h. Factor u(t).\nAnswer: -5*t**2*(t + 2)*(t + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -a**2 - 16*a - 15. Suppose -8*f + 11*f = -30. Let m = -2 + f. Is h(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = 2*u**2 + 28*u + 6. Suppose -12 = 2*n + 18. Calculate the remainder when i(n) is divided by ((-4)\/(-2))\/1 - -18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 40*o + 4673 - 4673.\nAnswer: 40*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -h - h**2 - 9*h + 0*h + 10. Let b be (-2 - (7 + -5)) + -4. Is f(b) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -66860*m + 735496. Calculate n(11).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 17667 and 9650259.\nAnswer: 1359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*x + 111 + 9 = 0. Solve 0 = -x*q + 3*q - 15 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 160499480 by 4.\nAnswer: 40124870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2704 divided by 1.\nAnswer: 2704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 390998, 781987, 1172976, 1563965, 1954954?\nAnswer: 2345943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 58661903 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -25*q - 510. Let p(k) = -31*k - 518. Let r(w) = 10*p(w) - 9*z(w). Determine r(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oxo when three letters picked without replacement from {x: 2, o: 8}?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 88 minutes after 6:47 PM?\nAnswer: 8:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1076, 2140, 3198, 4238, 5248, 6216, 7130?\nAnswer: 7978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 24*((-6)\/8)\/((-3)\/5). Suppose 3*a - q - p = 0, 3*a + 2*q = -0*q + 39. Suppose 16 = a*l - 10*l. What is the greatest common factor of l and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -j. Let r(t) = 46*t - 54267. Calculate n(r(b)).\nAnswer: -46*b + 54267","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 19 divided by -1224.\nAnswer: -19\/1224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 99\/2 - 499\/10. Which is the closest to g?  (a) 0.3  (b) -1\/7  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 185 is divided by 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*t**5 + 30*t**4 + 55*t**3 + 10*t**2 - 60*t - 40.\nAnswer: 5*(t - 1)*(t + 1)*(t + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.759 * 138831.\nAnswer: 244203.729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 162 - -270. What is the hundreds digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2\/377 + -8300\/1131. Which is the second smallest value?  (a) -3  (b) h  (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 56 - 59. Let w be t\/(54\/4) - 140\/(-63). Suppose 10 = -0*u + u - g, -2*u - w*g = 0. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2.3 + -1.3. Let m(d) = -d**3 + 3*d**2 - 1. Let a be m(3). Sort w, a, 0.2 in increasing order.\nAnswer: a, 0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -111*q**2 - 106*q**2 - 3*q**2 + 25*q**2 as h*q**2 + t*q + a and give h.\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 divided by -20208.\nAnswer: 5\/20208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 1, u: 1, n: 2, c: 1}. What is prob of picking 1 c, 1 n, and 1 l?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + 2 + (-3 - -5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) be the second derivative of 0*f**3 + 0*f**2 - 1\/10*f**5 + 1\/12*f**4 - 3*f + 0. Find the third derivative of h(a) wrt a.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 206548?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -22*b**2 - 35*b + 21. Let u(c) = -11*c**2 - 18*c + 10. Let s(a) = -4*g(a) + 7*u(a). Let h(k) = k**2 + k - 1. Let w(y) = 2*h(y) - s(y). Factor w(t).\nAnswer: -3*(t + 2)*(3*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 60 + -1ac0?\nAnswer: -1a60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -5576e (base 15) in base 4?\nAnswer: -1002110333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 3 + 12*s - 6*s - 8*s**3 - 7*s as n*s**2 + v*s + t*s**3 + j and give t.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3155, -12554, -28183, -50012, -78011, -112150, -152399?\nAnswer: -198728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: ((-16)\/(-4))\/(5\/1 - 3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 5\/144 + -703\/1584. Is n not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -78*a - 1. Suppose 8*l - 3*l + 5 = 0. Does 7 divide q(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 3, d: 4, a: 1, u: 1, j: 3, t: 6}. Give prob of sequence tt.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put -827, -2, -4, -232 in decreasing order.\nAnswer: -2, -4, -232, -827","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -15 - -20. Sort u, -5, -1 in increasing order.\nAnswer: -5, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 1, t: 3, q: 4}. Give prob of picking 1 q, 1 t, and 1 d.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -g**3 + 2*g**2 - 4*g - 3. Let h(r) = -r**2 + 3*r + 2. What is 2*d(q) + 3*h(q)?\nAnswer: -2*q**3 + q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.3 in -0.1, -3, -13\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 4515 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) be the third derivative of p**6\/15 + 3*p**5\/20 + 4*p**2. Find the third derivative of l(v) wrt v.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -35\/4 + 17\/2*i**2 + 1\/4*i**4 + 3*i**3 - 3*i = 0. What is i?\nAnswer: -7, -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 26\/(-44)*-2 + -1. Let o = 0.28 + 12.72. Let v = o - 18. What is the third biggest value in d, -0.1, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 17 + -11 - (-1 - (5 + -16) - 12).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 342426 and 168.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express -3889*l + 103*l**3 + 10*l**3 + 38*l**3 + 14*l**3 + 3890*l as u*l + g*l**2 + y*l**3 + q and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0004631 rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.023521 to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 23 + -3 + -15 + -72195. What is z rounded to the nearest one thousand?\nAnswer: -72000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4 in -33, -67, 44?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = 4*p - 3. Let g be (-84)\/(-39) + -2 - 384\/(-39). Suppose j + 5*i + 13 = 0, -g*j + 6*j = -4*i - 20. What is r(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -3*o + 16. Suppose 3*l - 10 = 4*g + 18, -o = 2*l + 3*g. Factor 0 - 4\/7*h**2 + 0*h + 6\/7*h**l + 10\/7*h**3.\nAnswer: 2*h**2*(h + 2)*(3*h - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) be the second derivative of -w**4\/3 + 2*w**3\/3 + w**2\/2 + 3*w. Let l be z(3). Let a = 4 - l. Is 10 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = j**3 - 2*j**2 + j. Let v be u(2). Suppose 9 = 3*w + q - 4*q, -4*q = 12. Suppose -v*l - 2*l + 5*k + 1588 = w, 0 = 4*l + k - 1588. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-8)\/(-1124)*(-49)\/(-245). Which is bigger: -1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 122 + -50. Suppose s = 5*y + 4*q, 4*y + 2*q = -2 + 56. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = r + 1. Let l(a) = 3*a + 18. Give l(c) - 4*q(c).\nAnswer: -c + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -15 - 24. Let f = l + 29.2. Let w = f - -11.8. What is the nearest to -0.1 in 0.1, w, -46?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 28 divided by 2380024?\nAnswer: 7\/595006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Add together 14692 and 0.1.\nAnswer: 14692.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 211*k**2*s**5 + 3*k**2*s**4 + k**2*s + 501*s**2 wrt s?\nAnswer: 12660*k**2*s**2 + 72*k**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: ((-54)\/(-6) - (7 - -5)) + 90\/34\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -3\/2, 3\/10, 2\/9?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = h**3 + 7*h**2 - 9*h - 16. Calculate d(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -465, -28, -2.\nAnswer: -465, -28, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:55 PM and 9:38 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (-9 - -9 - 5) + (4 - 1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 32 + -18. Let g = f - 12.9. Let h = g - 1. Which is the closest to h?  (a) -3\/2  (b) 0  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 1755624*m**4 + 3747170 wrt m.\nAnswer: 7022496*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26626*w - 692400 = -33550*w for w.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000572884341 to 5 dps.\nAnswer: -0.00057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + -34 - ((3 - 1) + (-295 - -281))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5 + sqrt(76)\/(sqrt(4) - (-3*sqrt(4) + sqrt(4))))*-2 + -2 + -2 + 2)**2.\nAnswer: -32*sqrt(19)\/3 + 652\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 1313, 1332, 1355, 1382, 1413, 1448?\n\"Answer: 2*k**2 + 13*k + 1298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from sissijsi. What is prob of picking 2 s, 1 j, and 1 i?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*j - 38 + 17 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 79224, 158489, 237754, 317019, 396284, 475549?\n\"Answer: 79265*o - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -1*20\/12*18\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 552 and 52682466.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 63*l**3\/8 + 1795*l**2\/4 + 6873*l\/8 - 55\/4.\nAnswer: (l + 2)*(l + 55)*(63*l - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1000100111110 (base 2) to base 16.\nAnswer: -113e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 517367775?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 2*r**3 - 23*r**2 + 28*r - 1. What is p(10)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 96\/8 - 9 - 7\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (2\/4 + 0)*2. Let w(j) = j**2 + 9*j + 10. Let z be w(-8). Which is greater: u or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 6*b + 7 - 3 - 7*b - b**2. What is v(-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10 - ((23 - -12) + -20)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10111722 divided by 48.\nAnswer: -1685287\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -10, -1, -2, 1, -20, -6, -17 in descending order.\nAnswer: 1, -1, -2, -6, -10, -17, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in twenty-one fifths of a millennium?\nAnswer: 50400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + -4 - (3 + -3 + 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 93410 by -2.\nAnswer: -46705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 14330, 14329, 14328, 14327?\nAnswer: 14326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 20631070, 20631068, 20631056, 20631028, 20630978, 20630900, 20630788, 20630636?\nAnswer: 20630438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.5 and 461.22455803.\nAnswer: 461.72455803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 10 and 170?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -24, 4, 5, 2 in descending order.\nAnswer: 5, 4, 2, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = b**2 + 2*b + 2. Let s be j(0). Let l(t) be the second derivative of 1\/6*t**4 - 6*t + 0 + 0*t**s - 1\/20*t**5 - 1\/15*t**6 + 1\/6*t**3. Solve l(k) = 0.\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 141*a + 113*a + 682*a in the form m + o*a and give o.\nAnswer: 936","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 123.285 + -123. Let c = 0.215 + y. What is the third biggest value in 18, -0.4, c?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8\/(-6))\/((-4)\/(-12)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = 7*l - 2. Let m(d) = 43*d - 20. Determine -m(v) + 6*z(v).\nAnswer: -v + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2783 - 2515. Calculate the highest common factor of h and 4958.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 1, c: 3, s: 1, z: 5, e: 3}. What is prob of picking 2 z?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) be the third derivative of -1\/2*m**4 + 0*m + 1\/15*m**5 + 24*m**2 + 0 - 8\/3*m**3. Factor v(j).\nAnswer: 4*(j - 4)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 22.81 + -23. Let w = -0.6 + 0.61. Let c = w - q. Which is smaller: 2\/5 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1157 rounded to the nearest ten?\nAnswer: -1160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 48.012 - 48. Let k = f + -0.008. What is k rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -w + 54. Let s(k) = 13*k - 12. Let o(i) = -11*i + 10. Let r(t) = 6*o(t) + 5*s(t). Determine r(h(n)).\nAnswer: n - 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000040578 to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = 2*k**2 - 18*k + 3. Let o be l(9). Let f = 18 - -1. Sort f, 5, o in increasing order.\nAnswer: o, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 123206.\nAnswer: 2, 61603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 57893619.\nAnswer: 3, 7, 17, 257, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5426230?\nAnswer: 2, 5, 17, 59, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-6900)\/225)\/(-46)*(-2)\/(4\/78)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k - 12 = -5*b - 1, 2*b + 7 = -3*k. Let p be (-6)\/12 + b\/2. Solve p*o = -4*q - 5*o + 36, 2*q + 4*o - 24 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 112*l - 223\/2*l**2 + 1\/8*l**4 + 0 + 55\/2*l**3 = 0. What is l?\nAnswer: -224, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-34*a - 76*a + 42*a)*(4 - 1 - 2)*(-2 + 0 + 4) - 1 + 1 + 2*a + (-3 - 2 + 3)*(3*a - a - 3*a))*(13*a - 81 + 81).\nAnswer: -1716*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-5)*c\/(c\/c**(21\/4)*c)*(c**12*c)**(-44))**28 assuming c is positive.\nAnswer: c**(-16037)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -25*o**3 + 3*o - 2. Suppose -3*m = 17 - 32. Suppose -2*c + 3 = -m. Let b be d(c). What is b rounded to the nearest one hundred?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 50.17998 millilitres?\nAnswer: 0.05017998","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lc when two letters picked without replacement from lcdc?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put -6\/7, -0.07, -2\/691 in decreasing order.\nAnswer: -2\/691, -0.07, -6\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -1, 2, 1 in decreasing order.\nAnswer: 2, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -860243428*z**2 + 637305173*z.\nAnswer: -1720486856","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10*u + 27*u + 1 + 10*u)*(-1 - 2 + 9).\nAnswer: 282*u + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -343518 smaller than -343717?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 25364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = p**2 - 5*p + 6. Let j be a(4). Suppose -4 = -2*s + j. Suppose -7*x + s*x = -268. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 169.46 * -5\nAnswer: -847.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -101010011000011110 (base 2) in base 8?\nAnswer: -523036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 23\/42 + -1\/21. Suppose -5 = -2*q + 3*s, -q + 5*s - 13 = -3*q. Let v be q\/(-12) + (-16)\/(-3). What is the third smallest value in v, p, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -7*p**3 - 1642*p**2 + 649*p - 13197. Calculate m(-235).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -3420, -6838, -10256, -13674, -17092, -20510?\n\"Answer: -3418*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -380 + 4419?\nAnswer: 4039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(7623) + sqrt(7623) - sqrt(63) - sqrt(63))\/sqrt(9) + (sqrt(28)\/sqrt(4) + 3)**2 + (sqrt(1008) - (-1 + sqrt(1008))) + sqrt(7).\nAnswer: 17 + 49*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.1 * -0.7075.\nAnswer: 0.07075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00001087741 to 6 dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 92 divide 538873700?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 113 + -99. Calculate the remainder when 111 is divided by b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) be the first derivative of -a**3\/3 + 8*a**2 - 11*a + 3. Let j = 25 + -15. What is the remainder when c(j) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 8259404.74 and -0.66561?\nAnswer: 8259405.40561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 8 = -2*k + 4*s, 2*s = 8. Let v = -5 - -7. Suppose h = -v*h + 3*x + 15, -5*x = -4*h + 24. What is the smallest common multiple of h and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*((2*sqrt(153) + sqrt(17))**2 + sqrt(17)) - (sqrt(68) + 0)*6.\nAnswer: -10*sqrt(17) + 1666","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.41 + -0.311. Round d to 2 dps.\nAnswer: -0.72","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-174 + 160 - 318)*(0*g + 0*g - g).\nAnswer: 332*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -j**3 + 12*j**2 + 4*j + 117. Let u be p(13). Solve -12 = -3*c - u*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.1 at most -2.75?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*o**2 + 7*o - 7*o)*((4*o - 4*o - 2*o)*(-3*o**2 + 6*o**2 - o**2) - 2*o**3 - 4 + 4) + (-4*o**5 - 2*o**5 - 2*o**5)*(-1 + 3 + 1).\nAnswer: -48*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3899*g**2 - 3904*g**2 - 3897*g**2 + 11701*g**2 - 2 + 2 + 44*g**3.\nAnswer: 44*g**3 + g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 10601, 21202, 31803, 42404, 53005?\nAnswer: 63606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2b (base 13) to base 15.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -46*s + 5*n - 47 - 28 = -96*s, 0 = -5*n + 25 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 84254047?\nAnswer: 53, 83, 107, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) be the third derivative of 0*d + 3*d**3 - 2*d**2 + d**4 - 1\/15*d**5 + 1\/105*d**7 - 1\/15*d**6 - 8. What is j in m(j) = 0?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = j - 6. Let x be p(-9). Let s be (-40)\/(-2) + (x - -18). Let n = s + -16. Calculate the remainder when 10 is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) be the third derivative of j**10\/136080 + j**9\/34020 + j**8\/30240 - j**4\/24 - 8*j**2. Let q(a) be the second derivative of v(a). Factor q(g).\nAnswer: 2*g**3*(g + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1000267526 + -2.\nAnswer: -1000267528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 60199 to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*a - d = 2*a + 36, -3*a + 489*d = 496*d + 43 for a.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 2, u: 1, l: 1}. Give prob of picking 1 u and 2 b.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2 + 46. Suppose 0 = 5*z - t - 194 + i, -4*t = 4*z - 112. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 3 + 105?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 136242937 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: Let i be 8 - (2\/7 + 25\/35). Calculate the greatest common divisor of 133 and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u + 108 = -u. Suppose 2*q + q + 2*c - u = 0, 2*c = q - 17. Suppose h - 3*g - 22 = 0, 0 = 4*h - 5*g - 49 - q. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in -2, 9\/4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*m - 18 = 10 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -11077 - -88619\/8. Factor -v*d + 3\/4*d**2 + 0 + 9\/8*d**3.\nAnswer: 3*d*(d + 1)*(3*d - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1, -3\/7, 5\/4, 0, 29, 5 in ascending order.\nAnswer: -3\/7, 0, 0.1, 5\/4, 5, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Determine n so that 12*n**2 + 30*n - 20*n**3 + 4*n**4 + 4*n**5 - 30*n = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve m = 5*v, -23 = v - 4*m - 42 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 18300.7 + -18301. Let l = 0.1 + -0.3. Let w = 186 - 933\/5. Which is the nearest to 0.03?  (a) l  (b) h  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 * 0.52049\nAnswer: -1.04098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -654*h**2 + 749?\nAnswer: -1308*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p + 3*t = 9, -p = 5*t + 3 - 18. Suppose -3*g + 4*w + 15 = 0, 3*g - 4*g + 3*w + 10 = p. What is the units digit of (g\/(-3))\/((-1)\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 198.87081 hours to days.\nAnswer: 8.28628375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -6b49 - 4?\nAnswer: -6b51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(612) - 2*sqrt(612))**2 - sqrt(68)\/(sqrt(8)\/sqrt(2)) - (((2*sqrt(68) + sqrt(17))**2 - ((sqrt(153)*-1 - sqrt(153))**2 - sqrt(17))) + -2)) + 5.\nAnswer: -2*sqrt(17) + 806","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1792687 and 0.5.\nAnswer: 896343.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -146.6 plus 64?\nAnswer: -82.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*w + 3*w + 0*w)*(-2*w + 5*w + w)*(-6*w + 2*w + 2*w) + (0*w + 11*w + 16*w)*(-4*w**2 + 3*w**2 + 2*w**2) - 38 + 38 - 9*w**3.\nAnswer: 26*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -c4 - -95?\nAnswer: -2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) be the second derivative of -p**5 + 0*p**2 - 8\/3*p**4 - 8\/3*p**3 - 5*p - 2\/15*p**6 + 0. Factor y(f).\nAnswer: -4*f*(f + 1)*(f + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -317.9 - -318. Suppose j + 4 = 3*j. Suppose -j*n - 35 = 3*n. Is a smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:52 PM and 8:59 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/10 of a day in seconds?\nAnswer: 95040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 366.7 - 1168.9. What is z rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q - 5*k = 26, 0*q + 4*k = 2*q - 22. Let w(y) = -q*y - 4*y**2 + 4*y - y. Let r(i) = 2*i - 4*i + 3*i. Calculate w(r(j)).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 170 and 4335.\nAnswer: 8670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -314*k**4 - 131*k**3*y + 48*k*y + 376*k + 2*y wrt k?\nAnswer: -3768*k**2 - 786*k*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1000 = -17*c + 3692. What are the prime factors of c?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -41*k + 46*k = -30 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*x**3 + 0*x**3 - 3*x**3 + (-x - 3 + 3)*(2*x**2 + 0*x**2 - x**2) + x - 530*x**3 - 417*x**3 - 289*x**2 - 3*x + 951*x**3.\nAnswer: 2*x**3 - 289*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1304 - 11?\nAnswer: -1315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find z, given that -2*z**3\/11 + 40*z**2\/11 - 214*z\/11 + 16 = 0.\nAnswer: 1, 8, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -16776 (base 9) in base 10?\nAnswer: -11571","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 6 + -10. Suppose 5*h + 2*i - 24 = -2*i, 0 = 4*h - 2*i - 40. Let u = h + d. Solve 0 = -j - u*j + 5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*h**2*m + 3*h**2*t**2 + 17*h**2 - h*m**2 + 6*h*m*t**2 - 5*m**2*t wrt t.\nAnswer: 6*h**2*t + 12*h*m*t - 5*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 458 - 497 = 85*t + 3701 for t.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1853.59044 - 1767.111. Let k = -0.42256 - j. Let r = -87 - k. What is r rounded to two decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -2.484211?\nAnswer: -2.484211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -14*n + 23. Let h(z) = -11*z + 10. Let o(v) = -25*v + 21. Let j(f) = -5*h(f) + 2*o(f). What is 17*j(y) + 6*p(y)?\nAnswer: y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2 - 387?\nAnswer: -385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from viivivvvvivvvvvvvvi. What is prob of picking 2 v and 2 i?\nAnswer: 455\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 28 in 1, 214, -0.3, 7\/2, 5, 0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*q**2 - 4 - 2*q**2 + 4.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y = -5*o + 32, o - y = -5*y - 12. Let j(t) = t**2 - 2*t - 4. Let d be j(o). Solve 2*n + d + 2 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) -2\/3  (b) 0.3  (c) 11\/6  (d) 6112\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 7653?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:09 PM and 11:20 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w, 1 y, and 1 h when three letters picked without replacement from {w: 1, x: 4, y: 1, h: 1, o: 1, t: 9}?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l - 8 + 20 = 0. What is the closest to -0.1 in -0.4, l, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9189455.328 rounded to the nearest one hundred thousand?\nAnswer: 9200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 54165, 54241, 54371, 54555, 54793, 55085?\nAnswer: 55431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/7, 0, 0.01, -2\/5.\nAnswer: -2\/5, -2\/7, 0, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*y - 16 = -4*s - 5, 3*s = 2*y + 9 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 - 12849.\nAnswer: -12845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -96967, -6 in increasing order.\nAnswer: -96967, -6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 26 + -4. Let h = 45 + -42. Suppose j = -2*m + h*m. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 4\/6 - (1 + (-56)\/6). Let j be (-4)\/(-2*1) + -1. Let z = j + t. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) be the first derivative of -o**2 - 1274. Let c(w) = 234*w**2. Determine l(c(v)).\nAnswer: -468*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express (-83 + 83 - 29*h)*(-h - 2*h + 4*h) - 11 + 11 - h**2 + (3*h + 0*h - 2*h)*(h + h - 5*h) in the form z*h**2 + f + w*h and give z.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0138204834 to five decimal places.\nAnswer: -0.01382","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -14 (base 6) to base 3.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**(-1\/2)*d**6*d**(-4\/5)*d*d**(-6)*((d*d\/(d*d**4))**(-7\/9))**5 assuming d is positive.\nAnswer: d**(341\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put together 22.3 and -3.\nAnswer: 19.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 3*l**2 + 37*l - 68. Is p(15) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = 55*f**2 - 7*f - 14. Give a(-2).\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 4*y = -0*w + 5, -w = 2*y - 5. Let g be 2\/3 + (-44)\/57. Let p = 51 + -356\/7. Sort p, g, w in decreasing order.\nAnswer: w, p, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 7278255 and 324?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 438, 439, 440, 441, 442, 443?\n\"Answer: s + 437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (-q + 0*q + 0*q + 3*q - 2*q - 2*q + (-5 + 3 + 4)*(-2 + 2 + 2*q))*((2 - 5 + 1)*(-6 - 1 + 0) - 4 - 1 + 2)*(-1 + 1 - q) as g + m*q + r*q**2 and give r.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*i - 4308 + 4433 = 0. Solve 8*b + 7*d - 42 = i*d, 5*b + 3*d = 21 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 11?  (a) -5  (b) -4  (c) 1  (d) -3459  (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-8)\/(-6))\/(4\/18). Let k(o) = t - 4*o**2 - 6. Let v(p) = p. What is v(k(i))?\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 487973 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 77 + 42. Suppose 4*y = 5*z + s, 3*z - 5 = 3*y - 95. Calculate the remainder when 120 is divided by y.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 6 = 0, 6*m + 2062 = -2*a + m. Let p be a\/(-21) + (-4)\/(-6). Suppose -z - 2*r = -p, z - 48 = -0*z - 4*r. Is 31 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 2, g: 2, o: 1, s: 1}. Give prob of sequence sg.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 32 and 428.\nAnswer: 3424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 144 and 414.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 165274, 330553, 495842, 661147, 826474, 991829, 1157218?\nAnswer: 1322647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**0)**(-2\/33)\/(u*u**(1\/2)*((u*u**(-3\/7))\/u)\/u*u) assuming u is positive.\nAnswer: u**(-15\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -85 + 15 = 20*p + 290 for p.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 14054052?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is j in -2*j**5\/21 - 2080*j**4\/21 + 2204*j**3\/21 + 127072*j**2\/21 + 23890*j\/7 - 416400\/7 = 0?\nAnswer: -1041, -5, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1487 + -1486.6. Sort -0.01, g, 1\/5, 1 in decreasing order.\nAnswer: 1, g, 1\/5, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 107 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/5 in -3, 68, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -949, 4, 2, -2 in increasing order.\nAnswer: -949, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -2*c**3 + 4*c**2 + c - 1. Give g(3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -89*a - 2 = -87*a, -4*h + 4*a = -104. Let i(g) be the first derivative of 0*g**2 + 0*g - 2*g**3 - 3\/8*g**4 - h. Find v such that i(v) = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = o**2 + o + 2. Let a be f(-3). Let p(g) = 80*g + 650. Let h be p(-8). Which is smaller: h or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is s in s**2\/5 - 139896*s\/5 + 4892722704\/5 = 0?\nAnswer: 69948","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 5617 + -5617.1. Which is bigger: b or -0.5195?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 294\/4*(-8)\/(-12). Let u be 11\/(-44) + (-985)\/(-20). Calculate the highest common divisor of v and u.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -70*y**5 + 5*y**4 + 3430*y**3 + 2275*y**2 - 17820*y + 1260 = 0.\nAnswer: -6, -3, 1\/14, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -42*q**2 - 2*q**2 - 63*q**2 to w + k*q + p*q**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -322*a = -419*a + 485. Solve -28*b + 25*b = x + 5, b = -x - a for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 14.2 - 14.137. Let n = q + 2.057. Let s = -0.12 + n. What is the nearest to 0.6 in 0.2, s, -2\/13?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is v in -4*v**3\/7 - 20*v**2 - 352*v\/7 + 17424\/7 = 0?\nAnswer: -22, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 + 3*m + 5 + 2)*(6*m - 4*m + 0*m + 46) in the form r + l*m + u*m**2 and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor m**3 + 57*m**2 - 1096*m - 1152.\nAnswer: (m - 16)*(m + 1)*(m + 72)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -153*k + 143*k + 50 = 0. Solve 0 = 2*j - 8*p + 5*p - 20, 5*j = -k*p for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -80332429*k**2 - 80332429*k**2 + 160664843*k**2.\nAnswer: -15*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -7*y - 5*y + 5*y - 7*y + y**2 - 2. What is the remainder when a(16) is divided by 9 + -2 + 3 + 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 89.86 + -90. Let g = -277.86 + x. Let n = 278.0133 + g. What is n rounded to 3 dps?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -100.07 rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 12128 to the power of 1\/2, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-32)\/72*24\/560*5.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -209 - -349. Let k = -138 + l. Solve 0*t = k*t + 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-108)\/(-18) - (-22)\/(-3). Which is the nearest to -2?  (a) q  (b) 3  (c) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(3\/4)\/s*s*s*s*s)\/s**0*s\/s**(-6)*(s**(-5)\/s*s)\/s*((s\/(s\/s**12))\/s**(-11))**20 assuming s is positive.\nAnswer: s**(1859\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -11116 and 532.\nAnswer: -5913712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -29142 - -29191. Sort -5, u, -4, 25.\nAnswer: -5, -4, 25, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -28 - 17. Let l be (-12)\/(-8)*(-4)\/y. Suppose -4*c + q + q = 6, 4*c = -5*q + 1. Which is smaller: c or l?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 18 + -19. Which is the closest to h?  (a) 3  (b) 0.4  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 0*(-3)\/(-9) + 2. Find i such that 41*i**2 - 24*i - 26*i**r + 0*i**3 - 3*i**3 + 12 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 111548, 111481, 111292, 110921, 110308, 109393, 108116, 106417?\n\"Answer: -10*s**3 - s**2 + 6*s + 111553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.4 in 0.2, 0.113, 2?\nAnswer: 0.113","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = l. Let x be h(9). Suppose 0 = -3*k + x + 54. Suppose 9 = 3*v + 2*t + 2, -5*v + k = t. Solve u - v*w + 26 = 0, 6*u - 6 = 2*u - 2*w for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -21075476, -21075474, -21075472?\n\"Answer: 2*w - 21075478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -1\/5 and 73\/3007218?\nAnswer: 15036090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*f + 37 = -43. Suppose f*z = -0*z + 20. Let n be -1 + 12\/18 + 12\/9. Solve z*r + 1 = -4*b - n, b + 23 = -5*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 1235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 423712 to the nearest integer?\nAnswer: 651","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 6303136181 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1791 - 16171\/9. Let p be (0 - 1)*1 + -548. Find the common denominator of c and 2\/(-8) - p\/12.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4209 - 2950. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) be the third derivative of -1\/60*h**5 + 65*h**2 + 0*h + 4\/3*h**3 + 0 - 7\/24*h**4. What is y(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 74 - 74.103. Let r be (-91)\/(-147) - -1*(-2)\/6. Is n != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2\/3 - (-22264)\/66. Suppose 88 = i - 39. Suppose -i = f - y. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:24 PM and 9:26 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.0439 in 1, 0.19, -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 + (-1 - -31 - (284 - 275))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-8)\/6*(-2)\/(-6))\/(8\/4)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t + 10 = 4. Let b be (-3)\/(-2) - (-15)\/t. Let f = 503\/5 - 101. What is the closest to b in 4\/5, -3\/4, f?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 693264.9 nanoseconds?\nAnswer: 693.2649","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1561.4  (b) -2  (c) -2\/37  (d) -5\/224\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 69630 + -69501. Let k(i) = 2*i - 5. What is the remainder when z is divided by k(10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -67\/14762 and 129\/73810.\nAnswer: 73810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 455 + -461.108. Round q to 1 dp.\nAnswer: -6.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -3 + (24\/5 - 9\/(-45)). Suppose n*p - t = 117, -2*p - 4*t + 34 + 68 = 0. Is p a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (c + 0*c - 2*c)*(4 + 2 - 5)*(2 - c**2 - 2)*(-4*c + 0*c - c).\nAnswer: -5*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 14) in base 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = 5768*j + 3264. Give q(-1).\nAnswer: -2504","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -2*x + 4. Let y be v(0). Suppose 2*z - y*z = -6. Solve 4*m + 10 = -2*n, -3*m + 2*n - 1 - z = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 109319425.\nAnswer: 5, 4372777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0  (b) 111  (c) 159  (d) -0.4  (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express (a + 4*a - 4*a)*(2 - 1 - 3) + 0*a - 4*a + 0*a + (2 - 2*a - 2)*(5 - 5 - 1) in the form t*a + w and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (29\/(-58))\/(75\/396 - (-5)\/(-30)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) be the third derivative of 0*x**6 - 5\/336*x**8 - x**2 - 1\/20*x**5 + 0*x + 0 + 0*x**3 + 0*x**4 + 0*x**7. What is the third derivative of o(r) wrt r?\nAnswer: -300*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -372 bigger than 1.035?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1639 and 1704113.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2792\/49 - 57. Find the common denominator of z and 16\/77.\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 48 and 1811772.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3.06 + -0.16. Let s = -3 + q. Let l be 2\/(-18)*63\/42. Which is smaller: l or s?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-19)\/152)\/((-1)\/8)*13\/(-39). What is the smallest value in j, 0, 1\/77?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (633\/(-844))\/(150\/16)\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -878\/1777 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -7 + 6.7. Let k = 0.035 - -2.965. Put n, -4, k in increasing order.\nAnswer: -4, n, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*v**2 + 1 - 5*v**2 + 0*v**2)*(0*v - 3*v - 3*v)*(-6*v + 0*v + 3*v).\nAnswer: -18*v**4 + 18*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*w**2 - 5270*w - 170688.\nAnswer: 2*(w - 2667)*(w + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -2*j. Let g(h) = 67787*h. What is g(o(z))?\nAnswer: -135574*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 0 * -0.064\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 454620 is divided by 3032.\nAnswer: 2852","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*y + 2*y + 0*y)*(15 - 2 - 1 + 20).\nAnswer: -64*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -o**4\/2 - 71*o**3\/3 + 16*o**2 = 0 for o.\nAnswer: -48, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.1 - 0.1. Let f = -5 + 4.6. Let y = 0.4 + f. Is p != y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 - (2 - -1) - (2 + -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -384 = -1047*b + 1071*b for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 126 and 216?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 62, 74, 84, 92, 98?\n\"Answer: -j**2 + 15*j + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -990*n + 990*n + 236*n**3 - 77*n**3 + (0 + 2*n**2 + 0)*(0*n + 3*n - 4*n).\nAnswer: 157*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) be the third derivative of -s**6\/120 - s**5\/10 + 7*s**4\/24 - 2*s**2. Let y be j(-7). What is the second derivative of y*w**3 - w - w**3 + 0*w wrt w?\nAnswer: -6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14364.502 rounded to the nearest ten?\nAnswer: 14360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -24*n + 9*n - 90. Let o be 18\/n - 128\/(-44). Which is the closest to 1?  (a) -5.8  (b) 0.4  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + 2*u - 324 = 0. Calculate the highest common factor of 9 and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 311977 divided by 10\nAnswer: 311977\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 64052753, 64052754, 64052755, 64052756?\n\"Answer: o + 64052752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -63*k + 6100 = -58*k. Calculate the least common multiple of 3355 and k.\nAnswer: 13420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = p. Let k(u) = -u - 5. Let o(g) = 6. Let x(t) = 6*k(t) + 5*o(t). Calculate n(x(d)).\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 9 in -326, -0.058, 94?\nAnswer: -0.058","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -35  (b) 3  (c) -40  (d) 5  (e) -5  (f) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 3974848914 to the power of 1\/2, to the nearest integer?\nAnswer: 63046","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c\/((c\/(c*c\/c**(-1\/4)*c)*c)\/c)*c*c)**47)**(-15\/2)\/(c**0\/c**0*(c**(-1)\/c)**15) assuming c is positive.\nAnswer: c**(-14565\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.33002619 - 0.2493.\nAnswer: 1.08072619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Determine v so that v**3\/5 + 16*v**2\/5 + 59*v\/5 + 44\/5 = 0.\nAnswer: -11, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (40 - 40)*(-2)\/12?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((g\/(g\/g**0))\/g*g)**(-1\/57)\/(g*g**0*g)**(-46))\/(g**3*g*g\/g**1)**(-6) assuming g is positive.\nAnswer: g**116","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3 = -5*u - 4*z, 33*z + 7 = 3*u + 38*z for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 1 - 1)*(r**2 + r**2 - r**2) + 2*r**2 + r**2 - 2*r**2 + 7*r**2 + 11*r**2 - 51*r**2.\nAnswer: -31*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p + 18 = -2*t, 0 = p - 2*t + 6*t - 6. Let d = -3.982 - 0.018. Let v(s) = -6*s**3 + s**2 - 2. Let i be v(-1). Put i, d, p in ascending order.\nAnswer: p, d, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = 3*c**2 + 59*c - 24. Is z(-26) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bd when two letters picked without replacement from dcb?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -r**3 + 11*r**2 - 10*r + 15. Determine y(10).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -157*p - 78*p + 6 + 523*p - 180*p.\nAnswer: 108*p + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2 + -3383?\nAnswer: -3385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v - 4*g = -8, -2*v + 0*v - 3*g + 7 = 0. Let i = 2 - v. Suppose i*m - 11 = 4. Solve -2*k - k = m*z + 8, -3*z - 5*k - 8 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -934403, -1868808, -2803213?\n\"Answer: -934405*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3 + 17. Suppose -40*b = -42 - 38. Suppose b*j = -4*q - o, -q + 2*j + j = -2. Let r(f) = f + 3. Determine r(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.04 + -63.04. Let y = -47 - i. Let s = y + -15.999812. What is s rounded to five decimal places?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 70 - 64. Let g = -24 - -34. What is the remainder when g is divided by n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4980906 = 531*b - 594*b. What is the thousands digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -q**2 - 9*q - 2. Let n(p) = -8*p + 3. Let a be n(0). Let b be 9\/(81\/(-24))*a. What is y(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2368 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-78 - (-65 - -29)) + 34 - (19 + 0).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 5*q**3 + 2*q**2 + q - 2. Let b be c(2). Let g be (4 - 4\/16)*(-3 - 1). Let l = b - g. What is the highest common divisor of 9 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10320 divided by 5160.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 4753192159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 83230, 83236, 83252, 83284, 83338?\n\"Answer: c**3 - c**2 + 2*c + 83228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -3 - -1193a?\nAnswer: 11937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000338087559 to 7 dps.\nAnswer: -0.0000338","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/5)\/(360\/600).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 816511 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 7, k: 1, u: 2}. What is prob of sequence ka?\nAnswer: 7\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.01 take away 5581?\nAnswer: -5580.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 368 a factor of 669401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 64\/(-40) + (-6)\/15. Let y = -2 + a. Sort y, 5, -6 in decreasing order.\nAnswer: 5, y, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + (sqrt(48) + -2*sqrt(48) + 0)*-5)**2.\nAnswer: -80*sqrt(3) + 1204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.374 - -76667.\nAnswer: 76667.374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 5964 and 284?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = h**3 + 5*h**2 + h + 6. Let v(a) = 259*a**2 + 12 - 75*a**2 + a**3 - 90*a**2 - 78*a**2 - 16*a. Let n be v(-17). Calculate r(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z + 3*p - 2*p = -56, 3*p = -z + 8. Let t(l) = l**3 + 21*l**2 - 1009*l + 161. What is the lowest common multiple of t(-44) and z?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -10457 - -982919\/94. Let m = -5039 + 100837\/20. What is the common denominator of u and m?\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -13 - (-21 + (11 - 1) + -15)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 202 is divided by 183.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put together -39997 and -53.07651.\nAnswer: -40050.07651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -309 + 326 - (1 + 5).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -83\/8 and 19\/22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-7)\/(588\/(-359)) - 5 and -1\/24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (3337 + -3349)*(-2)\/564\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 21\/8 of a week?\nAnswer: 26460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -81, -78, -75, -72, -69?\n\"Answer: 3*h - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 118274?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -i**2 - 8*i + 2. Let n = 7 + -15. Let a be v(n). Suppose a*r = -2*r + 24. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express n + 4*n**4 - 11*n**2 - 1 + 9*n**2 + 3*n**3 - 3*n**4 as c*n + p*n**4 + q + d*n**2 + u*n**3 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(78)\/(sqrt(6)*-1*6) + 3*(sqrt(1053)*-2 - sqrt(13)))**2.\nAnswer: 1529437\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*y - 678 - 990. Let r = y - -282. Solve -3*g = -p - 13, -r*p - 5*g = 5 - 4 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-8370)\/(-105))\/((-6)\/(-21)). Let y be (4\/14 - h\/217)*7. Let v(p) = -p - 9. Give v(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = 4*v - 5*y, -5*v + 5*y + 4 = 14. Suppose -3*f + v*f + 2 = 0. Solve -l = -2*b - 6*l + 31, 0 = 4*b + f*l - 22 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*f**4 - 10*f**3 + 4*f**2 + 16*f.\nAnswer: 2*f*(f - 4)*(f - 2)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ssisssssississsiss. Give prob of picking 2 i and 2 s.\nAnswer: 91\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = 14*a - 14*a + 19 + 21*a - 8. Is m(6) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = 0 + 7 + 3*j + 4 - 4. Let c be h(-6). Are c and -11 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2, 0.2, -0.0749, -95\/8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(245)*2 + 2 + 0 + 3)**2.\nAnswer: 140*sqrt(5) + 1005","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 907 + -1650. Let c = 101 - n. Suppose 5*k - c = 4*w, -5*k = -w - 937 + 96. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -14115253?  (a) 2  (b) 2\/9  (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-seven fifths of a micrometer in nanometers?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(77) + -3*sqrt(77) - sqrt(77))*6)\/(sqrt(33)\/sqrt(147) - sqrt(11)))**2 - (2 + -1 + (-5*sqrt(84)\/sqrt(2))\/sqrt(6)).\nAnswer: 5*sqrt(7) + 3086","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + 2828 = 5*c. Calculate the highest common divisor of 7 and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2001220022200 (base 3) in base 16?\nAnswer: 10ca07","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -96, -236, -414, -648, -956?\nAnswer: -1356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/3?  (a) -5  (b) -17  (c) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in eight thirds of a century?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -j**2 + 5*j + 3. Let u be m(6). Let c(b) = b**3 + 3*b**2 - 2*b - 4. Let h be c(u). Let i be 44\/(-112) - (-2)\/8. Put i, h, -2\/3 in decreasing order.\nAnswer: h, i, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*h + 288 = -3*h. Suppose -3*z + 5*z - h = 0. Solve z = -5*l - 1 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 78 is divided by 19?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:46 AM and 2:45 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 168 - 168. Which is smaller: -4\/19 or z?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 89\/2 and -41\/192.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 351 - 206. Suppose 170 = 5*m - b. Calculate the greatest common factor of 9 and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 25271 divided by -6.\nAnswer: -25271\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 3202098255?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*z + 46 - 71 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = 24*a + 1. Let n(t) = 447*t + 2. Determine n(j(u)).\nAnswer: 10728*u + 449","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 42*v**2 + 5*v + 1. Is o(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -370\/49 - 225\/392. Let a = -2\/15497 - -1503237\/216958. Find the common denominator of a and d.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 134*n + 89*n - 226*n.\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -r**3 - 7*r**2 - 5*r - 6. Let h be p(-6). Let a be (320\/h)\/((-2)\/(-420000)). What is a rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -40 = 34*a - 584 for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 5 + 4 = 0. Solve 0*x + 6 = j*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 742 - 742 + 3*q**3.\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b + 10 = -0. Calculate the smallest common multiple of 7 and b.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t - 12 = -0, 23 = -3*q - 2*t. Sort -4, -3, q in decreasing order.\nAnswer: -3, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*x**2 + 4*x**2 + 4*x**2 + 0*x**2 + 2*x**2 + 5*x**2 + (2*x + 4*x - 4*x)*(4 - 4 + 2*x) in the form c*x + v + q*x**2 and give q.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(-2\/9)*g)\/g*g*g\/(g**(3\/7)\/g))**38*g\/(g**(-4\/9)*g*g)*g\/(g**(5\/4)*g)*(g**(-1))**18 assuming g is positive.\nAnswer: g**(1945\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r = -0*v + v + 1, -v = 2. Let a(b) = 23*b + 2. Let i(y) = -11*y - 1. Let d(n) = 6*a(n) + 13*i(n). Give d(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 45 = 2*t, -x + 27 = 4*t - 0*t. Let l be 3\/9*-1*3 + x. Suppose 4*z - 182 = l. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*t**3 - 2*t + 807*t**2 - 7290 + 7290)*(-3*t - t + 3*t).\nAnswer: -2*t**4 - 807*t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 21*o - 1. Let j be w(1). Suppose 111 - 21 = 3*s. What is the highest common factor of s and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 j and 1 d when three letters picked without replacement from {n: 1, d: 1, j: 2}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -d**3 + 27*d**2 + 26*d + 34. Let v be x(28). Let n(b) = -3*b - 47. Let y be n(v). Which is smaller: 17 or y?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -1 - 5 + 4 + 5*j. Let p = -465 + 473. Let v(x) = 5 + 0 - 13*x + 0*x - x. Give p*l(m) + 3*v(m).\nAnswer: -2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 226.7293 rounded to zero dps?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (26 - 22) + (0 - -3). Suppose 0 = -5*k + 3*a + 10, -2*a = c*k - 4*k - 6. Solve -x + 5 = k for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -3917*a. Let q(o) = -8*o**2. Determine p(q(w)).\nAnswer: 31336*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 366 is divided by 124.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -5*k**2 + 5 + 2 + k - 3 - 2. Let m be i(-1). Let g be m\/34 - (-86)\/1020. What is the nearest to 0.2 in -1\/5, g, 0.5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -123570*z - 42. Let t(x) = -5*x. Calculate b(t(q)).\nAnswer: 617850*q - 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*o - 14 + 50. Let u = 12 + o. Let q = -625 + 27497\/44. Which is smaller: u or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -13137423, -13137426, -13137429, -13137432?\n\"Answer: -3*s - 13137420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -15, 213, -1 in descending order.\nAnswer: 213, 3, -1, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/(-21)*-1*1\/(-1)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -74536 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q**2\/4 + 41*q\/4 + 57\/2 = 0. Calculate q.\nAnswer: -38, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2603?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -13668, -13667, -13666, -13665?\n\"Answer: w - 13669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*x + 45 = -15*x. Suppose 0 = v - x*t - 212, 0 = 2*v + v - 3*t - 588. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*m - 30 + 5. Let x(g) = 2*g - 2. What is x(m)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 8*o - o - 14 + 1. Let g be s(4). Let h be 5\/2*(7 - 5). What is the greatest common factor of h and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 279\/217 + (-9)\/21?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -466, -928, -1386, -1840, -2290, -2736?\nAnswer: -3178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 42 + -21. Let y = -9 + n. Solve -4*u - 3*s + 5*s = y, 4 = 2*s for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5904765?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -8, 1\/2, 57, 0.1 in descending order.\nAnswer: 57, 1\/2, 0.1, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 - -4 - 1 - 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ts when two letters picked without replacement from rrrrrstnxrrshsxnrrx?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 386 + -388.02. Which is the second biggest value?  (a) o  (b) 0.2  (c) -3  (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -2*n. Let g(w) be the third derivative of 3*w**2 - 1\/6*w**4 + 0*w + 0 + 0*w**3. Determine k(g(i)).\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(84)*1*5*3)\/(sqrt(144)\/(sqrt(36)\/sqrt(3)*4)))**2.\nAnswer: 25200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -4, -7, -10, -13, -16, -19?\n\"Answer: -3*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -p**3 - 9*p**2 - 10*p + 12. Let h be j(-8). Calculate the greatest common factor of h and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-28)\/7*3\/(-8)*-2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -95 + 151. Let t be ((-88)\/33)\/((-4)\/6). Suppose t*b - 16 - 44 = 4*n, b - 10 = -4*n. What is the highest common factor of j and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.07499898 + 0.075. What is w rounded to 7 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x + 64 = 6*x. Suppose 0 = 5*a + 4*k - 45, 2*a + 3*k - x = 2. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -69.4276462 to one dp.\nAnswer: -69.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/((-110)\/(-8)*26\/65)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00551686 rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (2\/4)\/((-1)\/(-228)). Suppose j = -j + w. Is j*((-8)\/(-6) - 1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -4*g. Let v(y) = -3 - 85*y**2 + 52*y**2 - 56*y**2 + 55*y**2. What is w(v(b))?\nAnswer: 136*b**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 35136640 (base 7) to base 2\nAnswer: 1011110001001111010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -4168 + -6?\nAnswer: -4173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 44 minutes after 1:32 PM?\nAnswer: 2:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (16\/20)\/(3\/15). Let p be 2\/f + 5\/2. Suppose 4*h - 2*k = 64, 0*k - k = p*h - 38. Is 14 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 127029 or 126850?\nAnswer: 127029","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Determine l so that 5*l**3 - 10*l**2 - 247535*l - 247520 = 0.\nAnswer: -221, -1, 224","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 0 + 2335?\nAnswer: 2335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(-4\/3)\/b)\/b**(5\/3)*(b**(-3\/7))**(2\/27))**(-2\/133) assuming b is positive.\nAnswer: b**(508\/8379)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -r**3 + 108*r**2 + 91*r + 1961. Determine i(109).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 24146 + -7291. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 383, 382, 379, 374, 367?\n\"Answer: -h**2 + 2*h + 382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 2*s**3 + 89*s**2 - 13888*s - 4. Let g be l(64). Suppose 0 = 4*h + h - 30. Put 5, g, h, -3 in ascending order.\nAnswer: g, -3, 5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2.118 - -0.118. What is the fourth smallest value in z, 2\/7, 0.2, 1\/10?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 143\/(-546) + 3\/7. What is the biggest value in z, -4, 0.3, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*j + x + 3 = 0, -5*j - 6*x + 5 = -3*x for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 230 a factor of 77740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 97 minutes before 12:31 PM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 15 + (9 - -13) + -17?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 23fff (base 16) to base 3.\nAnswer: 21111021022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eccsffcpfqcc. Give prob of sequence spc.\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*p - 2 - 30. Suppose -4*u = h - 81, -h + 0*h = -2*u + 45. Calculate the remainder when u is divided by p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ydiygdigsijy. Give prob of picking 3 i and 1 j.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3 + 6. Suppose -3*l + 2*z - v = -7, -2*l - 4 = -3*z. Suppose 31 - l = 3*f. Solve -1 = 4*r + 11, 0 = g - 2*r - f for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -11 + 21. Solve 14 - o = -t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*r**2 + 6*r - 6*r + 0*r**2 + r**2 + r**2 + (4 + 2 - 4)*(3*r**2 - 3*r**2 + 2*r**2).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b + 1 = -2*w, 5*b = w - 11 + 5. Is -4\/41 < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -174689683 at most as big as -174689681?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -13 - -26. Suppose n = y + 1. Let r = 167 + -119. What is the greatest common factor of y and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.5 and -0.2069.\nAnswer: -0.10345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -13392 - -13395. Let m(c) be the first derivative of 12*c - 6 + 3\/4*c**4 - c**g - 6*c**2. Factor m(w).\nAnswer: 3*(w - 2)*(w - 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 406*i + 455. List the prime factors of o(10).\nAnswer: 3, 5, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -11*l**2 + 10*l - 6. Let w = 13 - 20. Let f(a) = -10*a**2 + 9*a - 7. Let h(b) = w*u(b) + 6*f(b). Find the second derivative of h(y) wrt y.\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -4*a**2 + 1. Let s be k(-1). Let u(y) = -y**2 - 3*y + 7. Let x(t) = -t**2 - 2*t + 6. Let o(n) = s*x(n) + 2*u(n). Determine o(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 37\/114 - 3\/19. Which is the second biggest value?  (a) x  (b) -1.7  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -114209, -228361, -342513, -456665, -570817, -684969?\n\"Answer: -114152*h - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/2, -3\/10, 2\/13, 4\/5 in descending order.\nAnswer: 4\/5, 2\/13, -3\/10, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 8\/25 of a microgram?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 6 and 469?\nAnswer: 2814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(3\/10)\/(t*t*t**(-5\/3)*t*t)*(t\/((t**(-2)\/t)\/t*t))**(10\/7))\/(t**(-3\/2)*t**6*(t*t**0)\/(t\/(t*t\/((t**7*t)\/t)*t))) assuming t is positive.\nAnswer: t**(334\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = 12*d**3 - 24*d**2 + 4*d. Let c(x) = 23*x**3 - 49*x**2 + 8*x. Let o be (-2)\/4*(-6 + 78)\/(-4). Let y(l) = o*i(l) - 4*c(l). What is u in y(u) = 0?\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 6, u: 1, g: 2, m: 3}. Give prob of picking 1 m and 1 u.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -6*k**3 - 3*k**2 - 7*k - 7. Let f(l) = -3*l**3 - 2*l**2 - 4*l - 4. Let h(y) = -7*f(y) + 4*o(y). What is the third derivative of h(v) wrt v?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1490 and 85170?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 111552 (base 6) in base 3?\nAnswer: 111000212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*m + 13*m - 55. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) be the third derivative of x**5\/60 - 3*x**4\/8 + 37*x**3\/6 + 4038*x**2. Calculate o(12).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i = b, 3*i = 2*b - 0*i - 25. Let x = b + -16. Factor 8*d**4 + 12*d**x - 28*d**3 + 8*d**2 + 0*d**4.\nAnswer: 4*d**2*(d - 1)*(5*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10 divided by -8.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5\/2)\/((-5)\/(-10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -301*o**2. Let p(q) = -46805*q. Calculate p(i(u)).\nAnswer: 14088305*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -47742 = 2994*l + 23403 + 69573 for l.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = y**2 + 3*y + 7. Let k be x(0). Solve 0 = 4*t - k*t + 15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5518.\nAnswer: 2, 31, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4558*n**3 + 61*n - 33 wrt n?\nAnswer: -27348*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 31 divide 8281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 552489996 to the power of 1\/3, to the nearest integer?\nAnswer: 821","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.0459 - 5.0459. Which is the third biggest value?  (a) 3\/5  (b) 2\/13  (c) m  (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c - 210 = -5*p + c, p = c + 34. Let h(n) = 118*n - 1166. Calculate the remainder when p is divided by h(10).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(832) - (sqrt(832) + -1 + sqrt(832)))*3 + sqrt(832) + 1*(sqrt(832) + 0) + 3)*-4*3*1)**2.\nAnswer: -13824*sqrt(13) + 124992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2 - 2296481318.\nAnswer: -2296481320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2*(-28)\/7*(-12)\/8.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15970?\nAnswer: 2, 5, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -14329477 or -100306345\/7?\nAnswer: -14329477","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25*c = 31*c + 6 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1790?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.5, 1, 20?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -46890000 to the nearest 1000000.\nAnswer: -47000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/117 - ((-8)\/20 + (-391323)\/(-9945))\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -s + 44. Let a(d) = -9*d + 132. Let x(q) = a(q) - 3*r(q). Let g(y) be the first derivative of -5*y**2\/2 + 2. Determine x(g(h)).\nAnswer: 30*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 54*h**2 + 13*h + 13. Calculate g(-1).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + 1 + -1 - (-1 + 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 611 minutes before 1:22 PM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -5 + 37*x - 60*x**4 + 5 + 4*x wrt x.\nAnswer: -720*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 99*x. Let i(m) = 4*m**2 + 18*m - 18. Let t(l) = -l**2 - 8*l + 8. Let u(b) = 4*i(b) + 9*t(b). What is j(u(n))?\nAnswer: 693*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -20*d**2 + 8*d - 8. Let s(l) = -7*l**2 + 3*l - 3. Calculate -3*g(w) + 8*s(w).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*x - g + 4, 204 = -3*x + 13*g + 236 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*g - 19 = 2*k, 0 = -47*k + 55*k - g + 21 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -73 = -7*t - 10. Calculate the least common multiple of t and 596\/6*(-171)\/(-114).\nAnswer: 1341","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 94472*h + 133 = 94551*h + 5*d, 2*h - 2*d - 14 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 253.0947404 + 0.0322596. Let t = -448 + 701. Let m = t - r. What is m rounded to two decimal places?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w + 4*v = -0*w, -3*w = 2*v - 12. Is (-1 + 5\/(-1))*(-3261)\/w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(-1\/2)*g*g)\/((g**3\/g)\/g))\/((g*g*g**25*g)\/(g\/g**(-12))) assuming g is positive.\nAnswer: g**(-29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 35*u - 6*b + 0*b = 36*u - 9, -4*b = -4 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 751 (base 10) to base 3\nAnswer: 1000211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1*(2 - (-1 + -35)). Let g be 247\/3*(-20)\/(-6)*(-414)\/(-230). What is the greatest common divisor of g and w?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r + 3*p - 35 - 60 = 0, 0 = 3*r - 5*p - 35. Suppose -12*w - r = -16*w. Solve 5*n - 4 = z, -2*z + 3*z - w = -4*n for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -6387, -51031, -172241, -408309, -797527, -1378187?\nAnswer: -2188581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -165 + -0.02096.\nAnswer: -165.02096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 25 + -22. Suppose b = -y - y + 136, -3*y + 186 = -d*b. Does 16 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = w**3 + 2*w**2 - 2*w. Let v be a(-3). Suppose 3*l - 37 = -l - o, 4*o = -3*l + 44. Suppose 4*p + 4 = -l. Is v at most as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1625625 and 2010573.\nAnswer: 2601","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 602 and 87376?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 53850 (base 13) to base 16.\nAnswer: 24d1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 152656 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 115*r**3 - 10475*r**2 - 1543540*r + 134300 = 0.\nAnswer: -79, 2\/23, 170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -35*z - 93. Let m be o(-3). Suppose -14828 = -10*s - m*s. List the prime factors of s.\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u = 5*b + 6, -3*b + 9*u = 6*u. Let p = -23 + 14. Let h be (-12)\/(-2) + p + 8. Sort h, b, -3 in decreasing order.\nAnswer: h, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 194490 divided by -3?\nAnswer: -64830","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 694.1 rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 1626316 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -6 + 9. Suppose 5*d - 2*d = 4*j, -t*j + d + 5 = 0. Solve 4*c + h = -14, 0*h + j = -3*c + 3*h for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/4*-2*(5 + -9).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 158 and 43450?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -10697.619696 - -10697. Let t = -0.62 - o. What is t rounded to 5 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 2\/5, -1\/5, 243, -53?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -42.2 + 40. Let d = g - -2.4. Put d, 2, 3 in increasing order.\nAnswer: d, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -192941*y. Let p(b) = 4*b**2 + 2. Determine p(c(h)).\nAnswer: 148904917924*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -52 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.2, -9, -53, 1\/2, -0.5, 0.4 in decreasing order.\nAnswer: 1\/2, 0.4, -0.2, -0.5, -9, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -738.3 + 737.3. What is the second biggest value in 0, s, -138?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0, 12, 1\/12, -2, 3\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -18*(372\/(-651)*(-6)\/(-8))\/(-45).\nAnswer: -6\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.03029827 rounded to four decimal places?\nAnswer: 0.0303","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -0.67+-1634365\nAnswer: -1634365.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3348\/3815 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -95\/145536 and -45\/141849088.\nAnswer: 425547264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -6*w + 2 - 15*w + 46*w. Is m(3) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 52011342 (base 6) to base 9\nAnswer: 2727228","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (0\/(-1))\/(-1) + -5. Let x(k) be the first derivative of k**2\/2 - 6*k + 2. Calculate x(p).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 2 f when three letters picked without replacement from aaffaaffaaff.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0 + 0. Suppose 2*m + 3*m + l = 16, -5*m + 3*l + 32 = 0. Suppose 3*y - m = 5*y. Which is the third biggest value?  (a) y  (b) 2\/19  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(44)\/(sqrt(20)\/sqrt(5)) + sqrt(11))*6 + sqrt(88)\/(sqrt(968) - (sqrt(968) + (1*sqrt(968) - sqrt(968)) + sqrt(968)) - sqrt(968)))**2.\nAnswer: 69169\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (365\/(-65))\/(-18 + 17) + -5. Let 2\/13*f**3 + x*f**2 + 0 + 6\/13*f = 0. Calculate f.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i + 7 = -5*w - 4, -2*w - 29 = 3*i + 2*w - 5 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*k**4 - 2*k**4 + 0*k**4)*(-3 - 1 + 2)*(5*k - 4*k - 3*k + (-1 - 1 + 4)*(0*k + k - 2*k)).\nAnswer: -16*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 160909983.4 rounded to the nearest 1000000?\nAnswer: 161000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 23 + 16 + -45 - (-1 + 0 + -3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 1*3*(13 - 12). Suppose -3*z - g*z + 24 = 0. Solve -z*x = -x - 9 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 279  (b) -3\/8  (c) -4\/5  (d) 1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-125)\/(-10) - 5)\/((-1)\/4). Let p be 48\/h*15\/(-6). Suppose -j + p*z + 90 = 0, -3*z + 39 = j - 86. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 17532468 + -11728369. Suppose a = -5*h - 8645901. What is h rounded to the nearest one hundred thousand?\nAnswer: -2900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*o - 5*o**4 + o**3 + o**3 + 6*o**4 + 3*o in the form z*o**4 + c*o**2 + j*o + n + v*o**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -173*v - 25 = -172*v - 5*z, -3*v = 5*z - 25 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (36\/144)\/(1\/2). Which is smaller: -120 or b?\nAnswer: -120","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -q**3 - q**2 + 6*q - 1. Determine s(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*k - 2*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -15*f**2 - 644*f + 45. Give x(-43).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -28*o**3 + 27*o**3 - 6 + 1 - 2. Let z be (1 - 1)*(0 - -1). Give b(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:53 AM and 8:53 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -147848 - -146558.42. Let z = v + 1350.611. Let t = z - 61. What is t rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2431?\nAnswer: 11, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-12132)\/4718)\/((-8)\/(-84)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (4\/(-10))\/((-2)\/60). Let i be (-3)\/(5\/((-40)\/u)). Suppose -24 = -i*g - 0*g. Solve 4*f + g - 4 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -c**3 + 7*c**2 - 4*c + 5. Suppose 5*g = -4*h + 14, -3*h = 5*g - 6*h - 42. Calculate d(g).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 158765618083 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3.83 - -2.73. Which is the nearest to 131?  (a) 0.1  (b) -5  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*((-3 + (4 + sqrt(75)*1 - sqrt(75) - (3 + sqrt(75) + sqrt(75)*-2)) + -4 + 3)*-2)**2.\nAnswer: -1008 + 360*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -5, -0.5, -2\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 274634 and 778?\nAnswer: 778","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 9*b + b - 5*b**2 + 0*b**2 + 10 + 6*b**2 + 2*b**3 - 4 wrt b?\nAnswer: 12*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = a**3 - 6*a**2 + 3*a - 1. Suppose 2*q - 115 = -3*x, -q + 37 = x - 1. Suppose -7*v = -20*v + x. Determine h(v).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 6 + -2. Let v be 356\/22 - o\/22. Suppose -s = -3*s + 288. Calculate the greatest common factor of s and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 greater than or equal to 2\/160647?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h*((h*(h\/h**(7\/2))\/h)\/h*h)\/h*h)\/h**(-4)*(h\/((h**(-3)\/h)\/h)*h)**(-8))**(-3\/11))**(-2\/7) assuming h is positive.\nAnswer: h**(-321\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1.595 - -1.295. Put 7\/4, 15, y in ascending order.\nAnswer: y, 7\/4, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*s = -41 - 16. Let a be (-6 + 1)*(s + -2 + 1). Calculate the highest common factor of 45 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*i**2 - 476*i + 28322.\nAnswer: 2*(i - 119)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.051 times 1.9?\nAnswer: -0.0969","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -2*y. Suppose -5 = -a - 7. Let q(g) = g. Let j(r) be the first derivative of r**2 - 1. Let x(w) = a*q(w) + 2*j(w). What is x(p(t))?\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -478 - -481. Let y(f) be the second derivative of -13\/3*f**v - f**2 + 0 - 71\/8*f**4 - 121\/60*f**6 + 2*f - 143\/20*f**5. Let y(m) = 0. Calculate m.\nAnswer: -1, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8b3 (base 16) in base 9?\nAnswer: 3044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 43555.036 + -43905. Let z = d + 356. Let x = 6 - z. What is x rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 33 divide 640202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 140, 283, 438, 611, 808, 1035, 1298?\n\"Answer: v**3 + 136*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -156 (base 11) to base 14\nAnswer: -d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w - 2*z + 10 = -5, 0 = 3*w - 2*z + 7. Let q = -9 + 13. Which is the closest to 0.1?  (a) w  (b) 5  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -57*i + 40 = -49*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5928?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 32340.\nAnswer: 2, 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9126 divided by -26.\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 6*f**3*x**3 - 10*f**3*x**2 + 16*f*x**3 - 4*f*x**2 wrt f?\nAnswer: 36*f*x**3 - 60*f*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express -5349*n - 3653*n + 1748*n + 217*n - 1430*n in the form t + b*n and give b.\nAnswer: -8467","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 7771562567 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((j**8*j*j)\/j)**(2\/85))**22)**39 assuming j is positive.\nAnswer: j**(15444\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -2*g + 137276 + g - 137264. Let u(i) = i + 1. Determine -b(k) + 2*u(k).\nAnswer: 3*k - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 143551029?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 17 + (12 + -2 - (-58 - -56)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tct when three letters picked without replacement from ttttctcctttcttttcct?\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7586 is divided by 115?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -310 or -251?\nAnswer: -251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lxoalolxooolx. Give prob of sequence xaaa.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(1*sqrt(77)*2 - sqrt(77))\/(sqrt(7) - (-2*sqrt(112) - sqrt(112))) + -4.\nAnswer: -4 + 5*sqrt(11)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**(1\/15)\/((c\/((c\/(c\/(c\/(c*c**(-2\/5)*c))))\/c))\/c) assuming c is positive.\nAnswer: c**(-23\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h**3\/2 - 2560*h**2 + 118028043*h\/2 - 59011461 = 0. What is h?\nAnswer: -13722, 1, 8601","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 4049510 and 6479216?\nAnswer: 32396080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 105 and 18347.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-t + t + 2*t)*(3*t - t - t)*(-30713*t + 65*t**3 + 30713*t).\nAnswer: 130*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -k**2 - 26*k - 116. Let p be z(-19). Suppose 8*g = p*g - 297. Which is the third biggest value?  (a) -2\/5  (b) g  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(-3 + 2*sqrt(425)))**2.\nAnswer: -2160*sqrt(17) + 61524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.12, 5, -0.1, 37, 57, 87 in ascending order.\nAnswer: -0.12, -0.1, 5, 37, 57, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (6*(-2 + sqrt(1053) + sqrt(1053) + 2 + -5))**2.\nAnswer: -6480*sqrt(13) + 152534","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-1*12\/290)\/(75\/(-125)). What is the second biggest value in j, -0.4, 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -23*u**3 - 5*u**5 + 23*u**3 + (-3 - 3 + 4)*(0*u**5 - 2*u**5 + 0*u**5) + (u**3 + 0*u**2 + 0*u**2)*(-4 - u**2 + 4).\nAnswer: -2*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -w**2 - 1. Let v(l) = -4*l**2 - 2. Let z(a) = v(a) - 2*y(a). Let r(o) = 55*o**2. Determine r(z(i)).\nAnswer: 220*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1682 and -4.5.\nAnswer: 7569","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - 40 = -2*p. Let j be (2*p)\/(1\/3). Suppose 0 = -4*d - 3*h + j, 19 + 11 = 2*d - 3*h. Is d a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 4 - 2)*(-1 + 0 - 1)*(-3*f**2 - 3*f**2 - 4 + 5*f**2).\nAnswer: 4*f**2 + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*(c\/c**(9\/10))\/c*c)\/(c**(3\/4)\/c) assuming c is positive.\nAnswer: c**(27\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 36 = 37*n + 295 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 0.3, 1, -176, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s**(-2\/17)\/s*s)\/s*s*s**(1\/4)*s*s**(-10)\/((s*(s**(1\/5)\/s)\/s*s*s)\/s*s))**(-3\/20) assuming s is positive.\nAnswer: s**(9249\/6800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = v**3 + 3*v**2 - 8*v + 14. What is i(0)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8721 - 8721 - 112*k**2.\nAnswer: -112*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 822611.1l to millilitres.\nAnswer: 822611100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 48 divide 34617360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 32176 is divided by 1407?\nAnswer: 1222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-6 - (-1612)\/279)*-9. Let r = -2 + 1. Let m = -1 - r. Solve m*w = w - f for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5513*k + 7 + 5506*k + 24 - 11017*k + 3 - 15.\nAnswer: 2*k + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -2 - 23*(-1 + -1). Calculate the highest common factor of 4 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 2092060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 10 - 9. Suppose d = l + 2. Let z be l + 0 + (52 - -6). Calculate the highest common divisor of 38 and z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:14 PM and 5:05 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = j + 2. Calculate the remainder when 78 is divided by o(18).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -40\/159 + 19321\/1590. Find the common denominator of 25\/9 - (-2)\/3 and b.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -0.1  (b) 26\/21  (c) -5\/108  (d) -0.5  (e) 13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 869865?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -17*l. Let a(x) = 93*x + 100*x + 91*x + 100*x - 417*x. Give a(c(w)).\nAnswer: 561*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -k**2 - 16*k - 16. Calculate f(-20).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -245 - -2696\/11. Put 2, 1\/35, k in increasing order.\nAnswer: 1\/35, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 22 is divided by (-2)\/(-12) + 2\/12*47.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -1 + 5\/((-20)\/(-16)). Suppose 5*y + g - 134 = 251, -q*y - 5*g + 209 = 0. Let w = y + -45. Is w a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 1 s when two letters picked without replacement from ysu?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide -317 by -15921.\nAnswer: 317\/15921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 327184113 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -89000 (base 10) in base 4?\nAnswer: -111232220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -24, 28, 114, 234?\n\"Answer: 17*f**2 + f - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 83, 8 in decreasing order.\nAnswer: 83, 8, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -21*(-4)\/(-12) + 10. Let f(x) be the first derivative of -3\/10*x**2 + 2\/5*x - 7 - 1\/3*x**r. Factor f(p).\nAnswer: -(p + 1)*(5*p - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 201220101200 - -20?\nAnswer: 201220101220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 27939 to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3390 and 35.\nAnswer: 23730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101110000010011011010 + -11?\nAnswer: 101110000010011010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2041*a + 4712 + 72846 = 0 for a.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 20 in 2, -0.2, 0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -302 (base 5) to base 13\nAnswer: -5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 4 = -1. Suppose 0*n - 4*n = -a + 27, -3*n - 16 = -5*a. Let m = 1 - n. What is the remainder when m is divided by w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-192)\/2*(-1 - 0). Suppose -j - 76 = -4*b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.04  (b) -1  (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 - (-24 - -17 - (-9 - -2) - -20)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 62 and 365100?\nAnswer: 11318100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 + -9 + (-2 - -7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 473 is divided by 229?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -332566 (base 8) in base 7?\nAnswer: -644334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m - 4*m = 0. Suppose 2*j - 7 = -3. Suppose m = -j*q - 8, 2*q + 0 + 5 = -r. Solve 3*l - 2*z - 18 = -l, -4*l - 3*z = -r for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*o**2 - 5*o**2 - 5*o**2 - o**2.\nAnswer: -18*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1020315?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) be the third derivative of -f**6\/1440 + f**5\/480 - f**3\/2 + 2*f**2. Let h(g) be the first derivative of w(g). Factor h(m).\nAnswer: -m*(m - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -26 + 16. Let p = 943 + -952. Which is smaller: p or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 53*w - 20*w - 21*w - 31*w**3 - 9*w - 3*w.\nAnswer: -31*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + -1 + 7 - 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 40461.6386 rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 563576887 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 49372?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 320 = -j. Suppose 8*l = -0*l + j. Suppose 5*x = l*x - 15. Calculate the remainder when 7 is divided by x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -3 - 28\/(-12) - -1. Which is smaller: a or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**10)**(-11)*i**14\/(i**(-8)*i))**(-50) assuming i is positive.\nAnswer: i**4450","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = -3*b + 23*b. Solve 11*h + b = 22 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8 - 6*p - 8)*(189 - 290 - 2403 - 29).\nAnswer: 15198*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 12 - 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-42 - -39) + -8 + 3 - 10) + -14?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.13 + -6.13. Let l = i + 8. Suppose -3*s + 14 = 2. What is the biggest value in s, l, -8?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 361 a factor of 783503407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 + 2*o - 2)*(o + 0*o - 2*o) - 1844*o**2 - 2097*o**2 + 5906*o**2 - 4*o**2 + 0*o**2 + 2*o**2 to y*o**2 + a + z*o and give y.\nAnswer: 1961","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand 54*u**2 + 28083*u - 28083*u + 2*u - 2*u - 8*u**2 + 2*u**2 + 1 - 1 + (2*u + 0*u - 3*u)*(4*u - 5*u - u).\nAnswer: 50*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -636*i**5 + 3*i + 29?\nAnswer: -12720*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*k**3 - 194548*k**2 - 10906800*k - 21035376.\nAnswer: 4*(k - 48693)*(k + 2)*(k + 54)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 660, 629, 598, 567?\nAnswer: 536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1\/5  (b) 938  (c) 4\/9  (d) -1  (e) 1196\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1.94 + -0.06. Let c = 74\/255 + 232\/255. What is the closest to 2\/5 in z, 0.2, c?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13604 divided by 5.\nAnswer: -13604\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = z**3 - 8*z**2 - 8*z - 9. What is y(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*j - 5*h, 0*j = -3*j - h - 19 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1716 - -2521. Suppose 0 = 3*b + 2*c - y, -2*b + 0*c = 2*c - 536. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4*((-165)\/(-20) - (7 + -2)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express -42*m - 2894*m**2 + 42*m + 1249*m**2 - 5*m**3 + (-2 + 2 - m**2)*(m - 2 + 2) in the form g*m**3 + b + l*m**2 + k*m and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 34 + -8. Calculate the remainder when h is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = 6*s**3 - s**2. What is the remainder when 37 is divided by d(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((r**2 + r**2 - r**2)*(-5*r - 4 + 4) + r - r + r**3)*(85*r + 1 + 34*r + 265*r).\nAnswer: -1536*r**4 - 4*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -73909\/40800 + 136\/75. Find the common denominator of 87\/544 and n.\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 14.96 * -0.02\nAnswer: -0.2992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 82 minutes after 1:55 PM?\nAnswer: 3:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 1093.85 plus 155268674.32?\nAnswer: 155269768.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1728112.\nAnswer: 2, 108007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -p - 10. Let r be d(-6). Let u be (3 - 1)*r\/4. Is u*387\/(-6) + 2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 287994 and 182.\nAnswer: 3743922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b*b\/((b*b*b**1)\/b))**18\/(b\/(b\/(b*b**(1\/2))*b))**(4\/17))\/((b\/(b*(b\/(b\/b**(-1\/3)))\/b)*b\/b**(3\/8))\/(b**1)**(2\/3)) assuming b is positive.\nAnswer: b**(-575\/408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 498\/635 + 2\/127. Let n be (1\/(-1) - -2)*-2. Let g(f) = f**2 + 3*f + 1. Let m be g(n). What is the second smallest value in m, v, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -49 and -6477?\nAnswer: 317373","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 5\/67087867?\nAnswer: 5\/67087867","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2031.\nAnswer: 3, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3.075 + 0.075. What is the closest to 0 in 1\/12, -2\/5, o?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -3 - 4b?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide -25110 by -1395.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 49\/4 of a litre?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = 7*n. Let z(i) = -2*i**2 - 5*i + 731. Let a(r) = 3*r**2 + 7*r - 1096. Let d(u) = 5*a(u) + 7*z(u). Give d(w(t)).\nAnswer: 49*t**2 - 363","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -613887040 rounded to the nearest one hundred thousand?\nAnswer: -613900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 2, z: 1, v: 2}. Give prob of sequence fzv.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 22*w**2 + 22*w - 19. Let d(o) = 10*o**2 + 11*o - 9. Let s(h) = -9*d(h) + 4*g(h). Let n be s(-6). Are n and 0.085 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -18 + 25. Let o(z) = -z**3 + 7*z**2 + 1. Give o(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2.5 - 2. Let h = -1.1 + 0.1. Sort i, h, 2\/7.\nAnswer: h, 2\/7, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2510807 divided by 4\nAnswer: -2510807\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 7\/(-3)*(-14)\/(-49). Which is smaller: 2\/3 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 47698722 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*k - 3 + 23. Let r = k + 25. What is the highest common factor of 135 and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 154 a factor of 1075228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -2*r + 14. Let v be c(5). Let i(t) = 2*t**2 - 3*t - 2. What is the remainder when i(5) is divided by 8 + v - 0\/(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -60*i**2 - 476*i - 768. Calculate z(-6).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3778922 is divided by 35317.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 831414625.\nAnswer: 5, 6651317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 8 + -1. Let v(i) be the first derivative of -i**3\/3 + 6*i**2 - 2*i + 17. Let l(r) = -r**2 + 13*r - 1. Let d(z) = -5*l(z) + 6*v(z). Determine d(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*w + 0*w + 4*w + w - 2 - 2 + 38 + (-3 + 3 + 2*w)*(1 - 1 - 1) as g*w + z and give z.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.08, 0, 0.1 in ascending order.\nAnswer: -0.08, 0, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2906?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.05351125 and -8501424.\nAnswer: -8501424.05351125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -7 + 16. What is the second derivative of -4*u**2 + l*u - u - u wrt u?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*b = -4*b - 15. Let w = b - 0. Let h = -326 + 329. What is the greatest common divisor of h and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(sqrt(3300)*-1 + sqrt(3300))*-3)\/(sqrt(96)\/sqrt(72) + sqrt(48)\/sqrt(36)) + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = 7*d**2 + 82*d - 4 - 82*d. Let s(j) = 867*j - 4 + 15*j**2 - 5 - 867*j. Calculate -4*s(v) + 9*w(v).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = a - 14. Let n be j(14). Suppose 0 = -n*w + 7*w - 21. Let x(t) = 7*t**2 - t + 10. What are the prime factors of x(w)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -z**2 - 72*z - 130. Give x(-42).\nAnswer: 1130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 3*-4*1\/(-3). Suppose 332 = -a*b - 0*b. Let q = b + 182. What is the greatest common factor of 11 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 43*v + 4. What is the hundreds digit of x(17)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 794996529?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1 * -300.\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 155201089 to the nearest integer?\nAnswer: 12458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 4702623416 to the power of 1\/2, to the nearest integer?\nAnswer: 68576","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -222 - -221. Sort a, 13, -5, 4 in ascending order.\nAnswer: -5, a, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 28036?\nAnswer: 2, 43, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -14 + (-14 - -8) + 15?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 112\/3 - 4\/(-6). Let z be (-2)\/9 - g\/(-9). Suppose -3*p = 2*k - 155, z*k + 383 - 143 = 4*p. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = m**3 - m**2. Let b be w(0). Suppose n = i + 43, -5*i + b*i = -4*n + 176. Does 18 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + g = 10, 5*g - 3 + 2 = -2*a. Let i = -5 - a. Solve 0 = i*x + 6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-10)\/(-6)*(-3)\/15\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-4)\/3*10\/20. Let v(w) = 360*w - 713*w + 355*w + 38. Let z be v(-20). Which is the second biggest value?  (a) z  (b) 1  (c) y  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -43*b*n**2*w**2 + 2*b*n**2*w + 10*b*n*w + 2*b*n - 2*n - 5*w**2 wrt n.\nAnswer: -86*b*w**2 + 4*b*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1746)\/(-10)*-2*27\/4. Let l = -2366 - p. Find the common denominator of l and 2 + -2 + (-90)\/(-44).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*p**2 + 46752*p - 136609344 = 0. What is p?\nAnswer: 5844","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 3*g - 33 = 0, -v - 4*g = 2*v - 5. Solve 2*h - 1 = v, -3*p - 2*h = 1 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 29, 100, 227, 416, 673?\nAnswer: 1004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*b + 40 = -248. Let r(j) = 31*j**3 - j. Let n be r(1). Let y = n + b. What is the remainder when y is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 692418491?\nAnswer: 6263, 110557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -323330000 to the nearest one million.\nAnswer: -323000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express 1805 - 6*y + 2171 + 2671 + 167*y - 159*y as u*y + s and give s.\nAnswer: 6647","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*s - 24 = -4 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (y + 3*y + 5*y)*(y**2 + 4 - 4).\nAnswer: 9*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 28, -4\/7, 3, -63, 0.2, 0.1, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 73690815 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -f**2 - 30*f - 20. Let y be u(-20). Suppose -v - 13 - 99 = 4*m, 5*m = 0. Let l = y + v. Is 20 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -741*b + 771*b = -120 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 383037 is divided by 3418.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 25216 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 3 x when four letters picked without replacement from keccccxfxxcxcxxcc.\nAnswer: 8\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.08431 rounded to three dps?\nAnswer: 0.084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 348 is divided by 164?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9092518.\nAnswer: 2, 17, 15731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (8 + -7)\/(4\/12)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) be the first derivative of l**2 + 10*l + 8. What is the remainder when p(3) is divided by 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from ggggggggg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 72*d + 63. Let l be h(-1). Let w(y) = -y**2 - 9*y - 6. Calculate w(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}