{"text":"Question: What is -12511 (base 6) in base 11?\nAnswer: -1491","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -v**3 - 180287127 + 180287127.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 59235 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -63*w - 62*w = 23*w - 1036 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 791 - 74. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*p**2 - p**2 - 6*p**2 + 5*p**2.\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-22)\/(-56) - ((-11)\/7)\/(-11). Let a = 0.7 - -0.3. What is the closest to a in 0.5, 3, k?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 125\/18 and -25\/109.\nAnswer: 1962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u - 24 = -v, -5*u = -v + 19 + 21. Let x = u + 11. Let b be 10 + -3 - -1*2. Calculate the greatest common factor of x and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 8.51 + -8.135. Let g = b - 0.875. What is the closest to 0 in 3, g, 1.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5679 is divided by 2832.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 3, u: 3, j: 1, i: 6}. What is prob of picking 1 l and 1 i?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1329141646.\nAnswer: 2, 7, 94938689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 357330312?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m = 5*y - 5, 4*y - m - 2 - 8 = 0. Suppose 3*s - 9 = -y. Solve -2*x = 3*l + 1 - s, 4*x - 4*l - 32 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(110) - (sqrt(110) - (sqrt(110) - -2*-1*sqrt(110))) - sqrt(110)) + sqrt(110) + sqrt(110)*2*-1)\/(sqrt(100)\/(-2*(sqrt(10) + sqrt(50)\/sqrt(5))))*1.\nAnswer: 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9 + -6 + 14 + -9 + 2 - 21.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9177.\nAnswer: 3, 7, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -218645909\/6 or -36440986?\nAnswer: -218645909\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jezjejaxxx. What is prob of sequence jjj?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 2 + y + 5)*(-1 + 4 - 2 + (0 + 0 - 2)*(-1 - 2 + 4) - 1 + 4 - 4 - 3 - 4 + 4 + 1 - 1 - 3)*(-3*y - 4*y + 4*y).\nAnswer: 24*y**2 + 24*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n - 4*c - 16 = 0, -30*n + 29*n + 1227*c = -1233 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 4741 and 1293.\nAnswer: 14223","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -27 + 29. Suppose -f + 16 = -b - 2*b, -r*f + 2*b = -32. Calculate the remainder when 67 is divided by (-2 - 0) + 4 + f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 300 + -3. Let r = -3 - 54. Let f = r + 84. Calculate the greatest common factor of x and f.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1060 divided by -3900.\nAnswer: 53\/195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 21 and 5859?\nAnswer: 5859","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 176 and 51488?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*m - f - 349239, 129*m - 124*m - 349247 = 3*f. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.9 + -1. Let p be (6 - (5 - 1)) + -4 + 5. Suppose 0 = -p*i - 56 + 5. Is b not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4\/5, -0.3, 0.4, 3\/2, 399.\nAnswer: -0.3, 0.4, 4\/5, 3\/2, 399","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.066961 to 3 decimal places.\nAnswer: 0.067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((3*m - 6*m + 0*m)*(5*m - 3*m + m) + m**2 - 3 + 3)*(0 + 2 + 0).\nAnswer: -16*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1 + 6\/4)*14. Suppose 7 = -s*a + 8*a. Suppose 2*u + 21 = 3*b, 3*b - u - 1 = 20. Calculate the smallest common multiple of b and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k = 2*p - 6 + 26, 3*k + 15 = -3*p. Let y be ((-4)\/(-8))\/(k\/(-120)). Let n = y - 110\/9. Which is smaller: 0 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 2116*o. Let g(k) = -52821*k. Give g(q(w)).\nAnswer: -111769236*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 8*y**2 + 5*y**2 - 9*y**2 to q*y**2 + u + b*y and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - 13 + 193 = 0. Let r = -87 + l. Solve 4*z = 2*c, -3*c - 2 = -r*z + 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 353*p = -959 - 5042 for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3458  (b) -6\/11  (c) -0.5  (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3821.\nAnswer: 3821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -38*c**3 + 60*c**3 - 21*c**3.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4201, 7365, 10529?\nAnswer: 13693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -3*z**3 + z**2 + 2*z + 1. Let s be n(-1). Suppose r - 15 = s. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1560 + 4669 - 1554 - 111*b**2 - 1555.\nAnswer: -111*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 137 + -125. What is the remainder when 71 is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*k - t = 16, -78*t = 1012 + 236 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0 - -9. Let z = -11 + d. Are z and 1\/2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -6*(-2)\/48 + 7\/4. Factor -9*j**l - 63 + 493*j + 3*j**2 - 622*j.\nAnswer: -3*(j + 21)*(2*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 2*i**3 - 8*i**2 + 11*i + 13. Let k be o(6). Let z = k - 217. Let a(l) = l + 1. Let m(b) = b**2 + 11*b + 11. Determine z*m(w) - 66*a(w).\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 367493041?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -32 + 43.2. Let o = -13 + v. Let f = 2 + o. Which is the biggest value?  (a) f  (b) 0  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = 4*z - 0*g + g, 5 = z + g. Suppose -4*a - 5*b - 7 = -5*a, z*b - 5 = -5*a. Solve 4*o = 2*n - a, -2*n - n = -3*o + 6 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 186 is divided by 34.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 187347.7ml to litres.\nAnswer: 187.3477","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(6*(sqrt(91) + -2*sqrt(91) + sqrt(91)) + sqrt(91) + -3*sqrt(91)*-2))\/((-1*sqrt(84)*3)\/(sqrt(1728) - (1*sqrt(1728) - sqrt(1728)))).\nAnswer: -112*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = l**2 - 8*l + 15. Suppose -m + 42 = -5*s, m + 4*s + 40 - 19 = 0. Calculate f(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*a**2 - 1196*a - 17528 = 0. Calculate a.\nAnswer: -14, 313","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 7, f: 12}. Give prob of picking 1 z and 3 f.\nAnswer: 385\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 9 or 0.046?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 - (-15 + 5) - (4 + 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 11\/80825 and 81\/25864?\nAnswer: 646600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 18.01 + -18. Let u = -11.3 + 11. Sort 1\/9, u, 2\/15, g.\nAnswer: u, g, 1\/9, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -20*z**2 + 28*z**2 - 6*z - 5*z + 39*z**2 + 5*z to g + m*z + j*z**2 and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 75.21609 minutes in seconds?\nAnswer: 4512.9654","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 17311 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 32*u - 160. What is l(4)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.771 - 3.771. Which is the second biggest value?  (a) 3\/2  (b) h  (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*f*f**5*f)\/(f**(-1\/6)\/f)*(f**(-5))**(-33))**48 assuming f is positive.\nAnswer: f**8360","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*g + 0*g = 180 - 138 for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -32928, -32966, -33022, -33102, -33212, -33358, -33546, -33782?\n\"Answer: -n**3 - 3*n**2 - 22*n - 32902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -3*g + 14. Let d = g - -2. Calculate the remainder when d is divided by (45\/(-18))\/(1\/(-2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 91297, 91296, 91295?\nAnswer: 91294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*i**5 + 0*i**5 - 3*i**5)*(3 - 2 - 2) + (-6*i + 2*i - 3*i)*(i**3 - i**4 - i**3).\nAnswer: 8*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 554517829.\nAnswer: 307, 1806247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-258882)\/116165)\/(6\/(-140)).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1332001 + 2?\nAnswer: 1332003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.1, 115\/2, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**(-2\/7)*x*x*x**(-11)\/x)\/(x*x**(3\/2)*x**(-3)))**(-15) assuming x is positive.\nAnswer: x**(2055\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -54*v - 4*h - 97 = -65*v, -5*h - 25 = 0 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((2 - 2 + 2)*(5*b - 4*b - 3*b) - 2*b + 0*b + b - 3*b + 3*b - b)*(11*b - 2*b - 5*b).\nAnswer: -24*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 45686 + -33686. Is w a multiple of 160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u + 5*u - 10 = 0. Let d(b) = 3 - u + 0*b + b. Let c(y) = 3*y**2 - 2*y - 2. Let k(o) = c(o) + 2*d(o). Let q(f) = -2*f. Calculate k(q(a)).\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -7*o**2 - 1. Let y be c(3). Find the common denominator of (-348)\/y - (-3 - -4) and 29\/6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4.9 + -7. Let h = -0.344 + 0.08. Let q = h + -0.036. What is the smallest value in q, -5, k?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5960 a multiple of 149?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1699\/15 - -19427\/170. Calculate the common denominator of -65\/51 and q.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 11 + -13. What is the nearest to o in -0.5, -0.1, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1 + (-4 - (-13 + 2)). What is the hundreds digit of 119\/(2 - -5)*(q + 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 413 and 26.6011.\nAnswer: 439.6011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve p - 2*v + 6 = -v, 0 = -3*p - 3*v + 12 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bbtb when four letters picked without replacement from bbbbbbbbbbbt.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -68043*a**2*j**2 + 5365*a**2 + 8378*a*j**2 - a*j + 2*a - 181 wrt a?\nAnswer: -136086*j**2 + 10730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + 3*(sqrt(13)*5 + -4 + (sqrt(13) + 3 + sqrt(13))*-1) + 4.\nAnswer: -13 + 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -836 (base 11) in base 14?\nAnswer: -51d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 467?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-133*(-9)\/(-630))\/(1\/5)?\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = z**3 + 11*z**2 + 10*z - 2. Is n(-7) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -2*i**3 - 19*i**2 - 18*i + 1. Let n = -323 + 314. Let z be q(n). Are z and 79 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -11*h**2. Let d(y) = -26*y**2 - 4*y - 2. Let p(s) = s**2 + 2*s + 1. Let w(x) = d(x) + 2*p(x). Determine w(a(u)).\nAnswer: -2904*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = q**3 + q**2 + q + 3. Let s be d(0). Suppose s*t - 2*t = 1. Solve 0 = 3*a + 2*a - 5, 0 = 3*l + 4*a - t for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3\/4 in 4, -0.007, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Determine f, given that 9\/10*f**3 - 83\/10*f**2 - 8\/5 + 9*f = 0.\nAnswer: 2\/9, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-21 + 38 - 17) + 1 + 4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*n + 6*n + 5*n - n.\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r + 3*r - 4 = 0. Let u(y) = 5*y - 1. Let m(d) = 6*d - 1. Calculate r*u(x) + 3*m(x).\nAnswer: -2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -11822987*r. Let k(g) = -2*g. Give k(j(u)).\nAnswer: 23645974*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qqoh when four letters picked without replacement from {z: 1, h: 2, q: 3, o: 4, e: 2, f: 3}.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -97, 31, 471, 1379, 2911, 5223, 8471?\n\"Answer: 26*g**3 - 54*g - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u - 10814 - 1856 = 5*w, 5*u - 12670 = 5*w. Let j = 20329\/8 + w. What is the common denominator of j and 9\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 20241230 and 10120615?\nAnswer: 20241230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 27*q**2 - 28*q**2 - 35*q**2.\nAnswer: -36*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*s + 3*s + 2604 = 4*l, 5*s - 3228 = 4*l. Suppose s = 7*n - 3*n. What is the greatest common factor of 18 and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-38389 - 3733*k + 38389)*(-2 + 0 + 4) to the form x*k + m and give x.\nAnswer: -7466","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 603778907 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -365 (base 11) to base 7\nAnswer: -1160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(4\/5)*x**(1\/8)\/x)**(-5\/6)*((x*x**(-3\/8))\/(x**(2\/9)\/x))\/(x**(-1\/5)*x*x**6*x*x) assuming x is positive.\nAnswer: x**(-5281\/720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3506 is divided by 387.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1214 + -796. List the prime factors of u.\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-35)\/525)\/((-4)\/(80\/6)). Which is the second smallest value?  (a) o  (b) -0.1  (c) -32  (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*x + s = 15, -4*x + 5*s - 12 = -8*x - 13 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 67 minutes before 8:00 AM?\nAnswer: 6:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s = 2*v + 110, -4*s + 3*s - 110 = -5*v. Let q = -113 - s. Put 15, 2, q in decreasing order.\nAnswer: 15, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:44 AM and 7:08 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -2352.1659 rounded to zero decimal places?\nAnswer: -2352","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = 4*u**3 + 28*u**2 - 15*u - 10. Let q(z) = -5*z**3 - 32*z**2 + 14*z + 7. Let w(t) = -4*d(t) - 3*q(t). What is w(-17)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = 2*g**2 - g + 1. Let q(k) = -k**2. Give f(u) + q(u).\nAnswer: u**2 - u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from iiiiijijiii. Give prob of picking 2 i and 2 j.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 13236874?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.1 and -1219439.\nAnswer: -1219439.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*g + 2*r - 8 = 0, -20*g - 6 = -18*g - 4*r for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(sqrt(1216) - (-1 + sqrt(1216) + -2 - sqrt(1216))) + -3)**2 + 1.\nAnswer: 1440*sqrt(19) + 44002","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 1, m: 5, v: 5, n: 4, u: 1}. Give prob of sequence nm.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 942505394 to the nearest integer?\nAnswer: 980","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 14782?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 110 - 107 - (-15 + 1)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 31*d**3 - 2*d**2 + 1. Let r be j(1). What is the units digit of (-6)\/r + (-36)\/(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*r + 0*r + 9*r.\nAnswer: 12*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*p**2 - 5*p**2 + 5*p**2)*(-p**3 - 2*p**3 + p**3 - 4*p + 4*p - 3*p**3 + (2*p + 2*p - 5*p)*(4*p**2 - 3*p**2 - 2*p**2) - 2*p**3 + 2*p**3 + p**3).\nAnswer: 6*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*k + 14*k - 2*k)*(-3*k**3 + 6*k**3 - 2*k**3) - 11*k**4 + 11*k**4 - 7*k**4.\nAnswer: 8*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3604 + 3532 = 17*v + v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -0.2, -4\/3, 0.0257, -1\/6 in decreasing order.\nAnswer: 0.0257, -1\/6, -0.2, -4\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n = 3*i + 2*i - 35, 28 = 4*n + 3*i. Suppose -n*w - 14 - 21 = 0. Are -29\/5 and w nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 37 + -39. Let c be 2 - (4 - 3) - w. Suppose x - 6*x = -i + 9, -c*i = -4*x - 5. Let m(y) = -5*y**3 - 2*y - 1. Calculate m(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 44506 and 18925522?\nAnswer: 2618","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 203 is divided by 35?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = g**2 - g - 1. Let r be o(-1). Let z be (0 - 1) + 0 + 1. Let w = r + z. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 921*j + 2 = -608*j + 2 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1.042 < 221?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = k**3 - k**2 + k - 2. Let n(f) = -f**3 + f**2 - f + 4. Let u(a) = 5*b(a) + 4*n(a). Determine u(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 106151, 424846, 956003, 1699622?\nAnswer: 2655703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = f - 12. Let m be n(6). Let b(y) = 2*y + 9. Let o be b(m). Let r = 43 + o. Is r a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-21)\/(-154))\/((-3)\/(-4))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 69 + 12. What is the common denominator of 6\/1*60\/m and 113\/24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n + 3*j - 18 = 0, -6*n + n + 25 = 5*j. Suppose -5*w + 3*c = -63, 0 = n*w - 4*w + 3*c + 15. Let k be -2 - 4*w\/16. Put 1, -4, k in increasing order.\nAnswer: k, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1389000 rounded to the nearest one hundred thousand?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1790 = 13*x - 30. Let l(z) = x*z - 69*z - 1 - 69*z. Let o(r) = -r**2 + 7*r + 12. Let j be o(8). Determine l(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 35741328?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1001 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/4, -1, -21\/4, -0.2 in descending order.\nAnswer: -0.2, -3\/4, -1, -21\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 128 a factor of 4031?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1702 + 1702. Let q be 2\/6 + (-3)\/3. Put -3\/2, q, -2\/5, v in descending order.\nAnswer: v, -2\/5, q, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m - 3*q - 6 = -3*m, 0 = 5*m + 3*q - 102. What is the remainder when m is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -h**3 + 2*h + 3. Let c be f(-2). Suppose -w + 1 = -c. Let m be ((-2)\/(-4)*5)\/((-6)\/(-48)). Calculate the greatest common factor of w and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1834 is divided by 1827?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 12549, -5, -0.2, -2\/19, -3, 4?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 4451196028?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7 - n**2 - 7)*(2 - 4 + 5)*(-4 - 1 + 0)*(0 - 2*n + 0).\nAnswer: -30*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*r**2 + 23*r**2 + 50*r**2 + (r - 3*r + 6*r)*(-2*r + 0 - 3 + 2).\nAnswer: 59*r**2 - 4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -6.27 or 8\/21?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*j + 0*j - 1292 = -1340 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3*z**4 - 6*z**2 + 2060.\nAnswer: 12*z**3 - 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 518151734?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**(-1)*m*m)\/m**3)\/(m**0)**48 assuming m is positive.\nAnswer: m**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*r**2 + r**4 - 3 + 0*r**3 + 2*r**3 - 2*r**3 + 5*r in the form h*r**4 + z*r + n + b*r**3 + l*r**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -217015*l**4 - 2529248*l**2 wrt l.\nAnswer: -5208360*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.5 - -2.5. Let w = y - 1. Let o = 82\/15 + -29\/5. Which is the closest to w?  (a) 5  (b) o  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 364\/555 - -2\/185. Let r = -2.57 - -0.57. Which is the closest to -2\/5?  (a) r  (b) 3  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6.241 rounded to one decimal place?\nAnswer: -6.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 348 (base 9) in base 7?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -21, -1\/2, -21.6, -2\/7 in increasing order.\nAnswer: -21.6, -21, -1\/2, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 44948 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -27 - -25. Let g = -5.6 + 6. Which is the nearest to 0?  (a) f  (b) -0.3  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (sqrt(13) + sqrt(637) + -5 + -5 + 2)**2 + -5.\nAnswer: -128*sqrt(13) + 894","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 906*o**2 + 2*o + 4. Let h(x) = 2*x**2 - x - 2. What is -2*h(u) - m(u)?\nAnswer: -910*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 150138 is divided by 383.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or 76\/1217741?\nAnswer: 76\/1217741","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = 2*g**2 + g - 3. Suppose 0 = l + 4*l + 15. Let k be w(l). Let c be (-7)\/(-42) + (-2)\/k. Solve 0*q - 4*q = c for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 294318 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = c**3 + 16*c**2 - 38*c - 31. What is g(-18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*(20 + -9 + -6).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 22938427520.0079882 + -22938419870. Let u = -7649.008 + f. Let n = -1 + u. Round n to 6 decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 19226984 to the nearest integer?\nAnswer: 4385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bbzzzzzzbz. Give prob of picking 3 b.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -52, -201133 in descending order.\nAnswer: 3, -52, -201133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 926 - 611. Let z = o + -5011\/16. Calculate the common denominator of (6\/8)\/(24\/98) and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-24420)\/(-39) + 52\/(-338) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1257*a**5*j**2 + 545*a**2*j**2 - 2*a*j**2 wrt a?\nAnswer: 75420*a**2*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (7\/(-7))\/(-2)*(-72)\/4\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 74.72589t?\nAnswer: 74725.89","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 59\/4 of a micrometer?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.3, -6\/7, 3, 58768\/5?\nAnswer: 58768\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1052*y + 2*y**2 - 399*y**2 - 1064*y + 2113*y.\nAnswer: -397*y**2 - 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 15012603 divided by -57?\nAnswer: -263379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -6*z**3 + 8*z**2 - 4*z - 45. Let n(m) = -5*m**3 + 10*m**2 - 5*m - 44. Determine 4*n(h) - 5*r(h).\nAnswer: 10*h**3 + 49","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 9.10764 * -445\nAnswer: -4052.8998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.4  (b) -0.49  (c) 0.4  (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -13*r + r. Suppose 2*d - 5 = 3. What is the smallest common multiple of 6\/(-4)*(r - 3) and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -19503 * 0.0373.\nAnswer: -727.4619","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*o + 4*w + 15 - 47, -2*o = 5*w + 2. Let n be (1\/(-1))\/((-3)\/o). Let j = 32 - n. Is j a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kkkkkkkyyunzukkkkk. Give prob of picking 1 z and 2 y.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 6, a: 8, i: 3}. What is prob of sequence eaaa?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 6\/6149?  (a) -19\/8  (b) -0.1  (c) 0.3  (d) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*(sqrt(91)*-1*6 - sqrt(91)))\/(sqrt(56)\/sqrt(200) + sqrt(7) + sqrt(343)*-2))**2.\nAnswer: 15925\/1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -4924479*t**4 - 5598686 wrt t?\nAnswer: -19697916*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Determine h, given that -6*h**4 - 1000*h**3 - 45118*h**2 - 629300*h - 399776 = 0.\nAnswer: -104, -31, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 46.7 + -47. What is the closest to -1 in 2\/21, l, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 6*l**2 - 41*l + 18. Let p(y) = 6 - 2*y**2 + 0*y**2 - 14*y + 6*y**2 - 2*y**2. Let a(q) = 6*f(q) - 17*p(q). Let a(i) = 0. What is i?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -r**2 + 12*r - 18. Let k be u(10). Is (2 - 2154*k)*(-8)\/16 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*z**5 - 15*z**2 - 17*z**2 + 16*z + 0*z**5 + 17*z**3 + 8*z**4 - 5*z**3 = 0. What is z?\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(sqrt(320) + -1 + -3 + 0 + 2 + -5*(sqrt(320) - sqrt(320)*-1)**2 + -3 + 5)*-5.\nAnswer: -32000 + 40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = 14*t**2 + 3*t - 3. Let f(w) = 165*w**2 + 35*w - 35. Let i(r) = -3*f(r) + 35*u(r). Let c(b) = -5*b**2. What is i(c(v))?\nAnswer: -125*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((o*(o\/(o*o**(-3\/31))*o)\/o)\/o)\/(o*o**(-39)\/o))\/(o*o*o\/o**(-28)*o**(-19)) assuming o is positive.\nAnswer: o**(840\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(1 + 5 + sqrt(1872) + (-1 + sqrt(1872))*5 + 5))**2.\nAnswer: 13824*sqrt(13) + 1078848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2449 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = 12*d + 230. Calculate w(-20).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -5986.8 + 648.8. Is x bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -2*w - 11. Let l be d(-7). Suppose 2*p = -l*p - 2*p. Solve j + j - 2 = p for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 154 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -f**2 + 22*f + 509. Let y be d(-14). Let j be (-28)\/(-6) - 2\/3. Suppose 2*v - p = -3*p + 2, j*v - 4 = 3*p. Sort v, 4, y in descending order.\nAnswer: y, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -3, -226.7, -2\/15, -4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 4, 5, 54 in decreasing order.\nAnswer: 54, 5, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/10 + (-121)\/495\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vlq when three letters picked without replacement from {y: 4, l: 1, d: 1, v: 1, q: 1}?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2 * -1.16946452.\nAnswer: 2.33892904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 6888814 to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 14\/(-30) - 10\/50. Let j = -0.2 - -0.4. Which is the biggest value?  (a) -2  (b) l  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -77*s - 1 - 4 + 0 + 74*s in the form o + q*s and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -46559, -46547, -46535, -46523, -46511?\n\"Answer: 12*o - 46571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -2*x - 5. Let u be d(-5). Let f(b) = 28*b - 6. Let v(t) = -37*t + 8. Let g(p) = -8*f(p) - 6*v(p). Determine g(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.309?  (a) -3  (b) -0.3  (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w*w\/(w\/(w\/w**(2\/5))))\/w**(-6)*w**(-2\/11)\/w**(3\/5))**(1\/28) assuming w is positive.\nAnswer: w**(75\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 17 - 37. Let j be (15*w\/(-24))\/(3\/12). Suppose 40 = 5*s + m, -8*m + 5*m = 5*s - j. Calculate the highest common factor of 42 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 6\/(-8) + (-31158)\/(-72). Suppose -2*z = -4*d - 366, -s = -3*z - 3*d + 135. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 59 + -58.98. Let l(v) = v**2 + 11*v + 9. Let m be l(-11). Suppose -7*i - 5 = m. What is the nearest to i in -2\/7, -1\/2, d?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 508 minutes after 7:44 PM?\nAnswer: 4:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**6*(v\/(v*v*v**(-3))*v*v)\/v)**(-8\/3) assuming v is positive.\nAnswer: v**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:12 PM and 9:49 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = -3*k - 11, 0 = 2*r - 0*r - k + 1. Let j = 4 + r. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 287107 + 15657 = 3932*v for v.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 13294 and 400384?\nAnswer: 782","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 9 + -13. Let k = y - -2.5. Let n = k - -0.5. Which is the nearest to n?  (a) -1\/4  (b) -1\/2  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_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 the second derivative of -10*b**2*r + 2*b**2 - 5*b*r - 8*b wrt b?\nAnswer: -20*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1441 and 209?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -131\/5406 and 67\/918.\nAnswer: 48654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(96) + sqrt(96)*-1 - sqrt(96))*-1 + sqrt(96))\/(sqrt(1500)\/sqrt(5)))**2.\nAnswer: 32\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 20153 or 20149?\nAnswer: 20153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 113259863\/54405300 - -27\/60050. Let d = z + -25\/151. Calculate the common denominator of d and 2\/(-5) - 274\/(-60).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.244464265 to two decimal places.\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor t**4\/3 + 12972025*t**3 + 168273458544667*t**2 + 2182849193811535401689*t\/3 + 4365692329781365152334.\nAnswer: (t + 6)*(t + 12972023)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 10\/32*288\/18\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/g**0)\/(g\/g**(-17)) assuming g is positive.\nAnswer: g**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -13*t**2 + 11. Let s = 1843 - 1850. Let x(j) = 7*j**2 - 5. Determine s*x(q) - 3*a(q).\nAnswer: -10*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -52, -58, -60, -52, -28?\n\"Answer: y**3 - 4*y**2 - y - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 2*b - 2. Let i be h(7). Let z = 24 - i. Let f be (576\/(-40))\/(6\/(-40)). Calculate the greatest common factor of z and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 19 - 6 - 7 - 8*q - 4 to the form h + n*q and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = m**3 + 4*m**2 + m + 1. Let c = 24 - 22. Suppose -5*l - 10 = -w, c*l - w - 2 = -3. Let y be a(l). Calculate the greatest common divisor of y and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 6 - ((-3 - -2) + 2). Let g = x - -34. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zk when two letters picked without replacement from kkkzkz?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + (-1 - (-1 + 1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gldrlrlrddldle. What is prob of sequence eg?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/2356 in -1\/40, 6, 2\/3, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4 + 6. Suppose k*p - 6 = -q - 0*q, p = q. Let a(g) = 0*g**2 + 4*g**2 - 6*g**q. Let d(x) = -x**2. Determine d(a(z)).\nAnswer: -4*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 484 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 z and 1 h when four letters picked without replacement from hzzppzzzhzzphzhz.\nAnswer: 12\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 62756371?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 17139?\nAnswer: 3, 29, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 71\/776 and -85\/639734?\nAnswer: 248216792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -23362, -46725, -70090, -93457, -116826, -140197, -163570?\n\"Answer: -x**2 - 23360*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -7150 + 7175. Solve 5*s + p - 15 = 0, -8*p + v = -13*p for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 110579 is divided by 170.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand -106*t**3 + 2960*t**2 - 2960*t**2 + (-2*t + 2*t - t**2)*(-206*t + 107*t + 102*t - 1).\nAnswer: -109*t**3 + t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 42121759 divided by -4\nAnswer: -42121759\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.472 + 0.41. Let d = 16.438 - k. What is d rounded to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z - 8 - 4 = 0. Let b be (-610)\/(-15) - 8\/z. Suppose -b = -3*i + i - 2*m, -5*m = -5*i + 135. Solve t = -h, -4*h - h = -t - i for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) be the first derivative of n**3\/3 - 3*n**2 - n + 5. Suppose 1 + 0 = t + 3*b, 3*b + 6 = 0. Calculate the remainder when 15 is divided by i(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 21836?\nAnswer: 2, 53, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -53.01 + 53. Sort 4, m, -1.\nAnswer: -1, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s + 2*k + 43 = 0, -4*k + 40 = 2*s + 2*s. Let z(j) = -5*j - 4. Calculate the remainder when z(-4) is divided by s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 40 and 17980.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -65*k = -64*k - 2. Suppose 7*n + 2 - k = 0. Suppose n = -4*a - 0*a. Solve -m + a*m - 1 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -22547.22 - -10169328.\nAnswer: 10146780.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 4769337765592 and -0.4?\nAnswer: 4769337765592.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + sqrt(18) + -3.\nAnswer: -5 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 141884417 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -522 + -7a?\nAnswer: -59c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 53831 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = g**2 - 3. Suppose 4*b - 2*j = 4, -5*j + 2 = 5*b - 3*b. Let m(p) = 1. Let z(s) = b*k(s) + 3*m(s). Let c(l) = -22*l**2. Calculate z(c(d)).\nAnswer: 484*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 86520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (39 + 74 - 9)*(1 - 1 + 7*y) to d + j*y and give j.\nAnswer: 728","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 9 - 1. Suppose 69 + 11 = i*z. What is the units digit of z + 11 + (2\/1 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-22)\/(-25))\/(7\/35). Which is smaller: 3 or w?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 5  (b) 1  (c) 0.3  (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4554)\/6072)\/(-4*(171\/32)\/3).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 70 + 18 = -22*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 1, p: 12, l: 6}. What is prob of picking 1 l and 3 p?\nAnswer: 110\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 260 and 1220.\nAnswer: 15860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + 16380795.02.\nAnswer: 16380792.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12712 is divided by 310?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -58012457 or -58012458?\nAnswer: -58012458","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -473951803*c**4 + 10*c**2 + 23*c - 36349?\nAnswer: -11374843272*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.5 and -0.35427.\nAnswer: 0.14573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3278 and 308?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.258 - -0.042. Which is the biggest value?  (a) 5  (b) v  (c) 0  (d) -0.1  (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or -1\/191848?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 11917869 to the power of 1\/3, to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1095\/25 + -43)*-2*10\/(-12)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-2)\/(-4))\/(1\/(-6)). Let p(o) = 10*o**2 - 8*o**2 - 15*o + 12*o. Does 14 divide p(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 3770.94325 to the nearest 100.\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = z + 5*h + 12, 14*z = 10*z + 4*h + 24 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*((((sqrt(153) + 4)**2 - sqrt(153)) + -5 - (-2 + sqrt(153) + 5)) + -2).\nAnswer: -954 - 108*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 409 - 351. Suppose -14 = 22*h - y. Solve -h*j + 2*x = 5*x - 1, 0 = -4*j - 2*x + 6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 501 minutes before 3:39 PM?\nAnswer: 7:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(sqrt(468)*1*4 + sqrt(468))*-3.\nAnswer: 180*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 60666 by -6.\nAnswer: -10111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -6097466*w + 6097540*w - 5772 for w.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*s = 1126 - 1063 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3 - 0. Let v(l) = -l**3 - 2*l**2 - 2*l + 1. What is the units digit of v(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -389342*a + 26. Let u be s(3). What is u rounded to the nearest 10000?\nAnswer: -1170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o - 4*v + 6 = -11, 4*v = -4*o + 80. Let s(w) = 2*w**2 - 38*w - 72. Let y be s(o). Solve -2*b = x - 4, 0*b - 2*b + 3*x + y = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (4\/6)\/(4\/(-3) - -2). Let t be w\/(9\/6)*(-6)\/16. Let n = -8 + 12. Which is the second smallest value?  (a) t  (b) 3\/5  (c) -0.3  (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.2, 2\/9, -1\/3, -2\/23?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*n + 4*n - 3*p + 3 = 0, -4*p = 2*n - 4. Let q = 24 + -14. Solve n = 4*f - 2*f + q for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b + w + 2 = 12, -3*w = 5*b - 9. Suppose -20 = b*t - 5*t. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 4700, 4694, 4684, 4670, 4652?\n\"Answer: -2*y**2 + 4702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find s such that -2*s**2 + 0*s - 5 + 8*s - 1 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1.69047 micrometers to millimeters.\nAnswer: 0.00169047","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine s, given that -4*s**4\/3 + 364*s**3 + 73588*s**2\/3 - 156860*s + 240096 = 0.\nAnswer: -61, 3, 328","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -137 + 98. Let f = 39.5 + h. Which is the third smallest value?  (a) -15  (b) 0.3  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6 - (33 - (21 + 5)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -7 + 1. Let n be (k\/15)\/((-12)\/15). Which is smaller: 2 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3484 and 1206.\nAnswer: 31356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*b = 15*b. Suppose 5*i - 5*u + 20 = -b*i, i + 5 = 2*u. What is the second biggest value in -14, i, 3\/7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -4*b**2 + 2*b + 15. Let t(w) = 3*w**2 - w - 14. Let s(i) = 2*n(i) + 3*t(i). Suppose x + 3*x = 0. Calculate s(x).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z = -2*u + z - 4, 5*z + 26 = u. Let f(r) = -7*r**2 + 24*r - 15. Let c(o) = -2*o**2 + 6*o - 4. Give u*f(b) - 22*c(b).\nAnswer: 2*b**2 + 12*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-25*v - 50*v - 219*v - 2*v + 2 - 2 + (-v + 2*v - 3*v)*(-2 + 4 - 1))*(v - 2 + 2).\nAnswer: -298*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -k + 11. Let c be q(8). Suppose -414 = -c*v - 2*o, 3*o = 4*o + 3. What is the highest common divisor of 35 and v?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 19541 is divided by 24.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 482?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 0 + -212121120?\nAnswer: -212121120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hrrereerre. Give prob of picking 2 e.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*a - 30 + 28 - 5*a + (-28*a - 21*a + 15*a)*(-12 + 4 + 25) as v*a + k and give v.\nAnswer: -580","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -171 = -5*z + 4*c, 2*z + 3*c = -2*c + 42. Suppose 0 = -z*d + 30*d + 180. Is d a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 - ((-12)\/8)\/((-4)\/(-8))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 623 minutes before 7:28 AM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 706 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 - 4 + 4)*(-2*u**2 + 0*u**2 + u**2).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -3828438 divided by -558\nAnswer: 6861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 3*r - 14 = -3*y, -2*r = -4*y. Suppose -y = -f - 1, -u + 2*f = -329. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -46 + 71. Suppose 5*y - 16 = y. Let w = 6 + y. Calculate the highest common divisor of n and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*r - 4*k + 43 = -0*k, 65*k - 22 = 5*r + 64*k for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 574 = -2*m + 652. What is the third derivative of m*i**3 - 16*i**2 - 1 - 26*i**3 - 13*i**3 - 56*i**4 wrt i?\nAnswer: -1344*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from shhoo. What is prob of sequence hh?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 107689?\nAnswer: 113, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 divided by 144?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 205655741 divided by -45209.\nAnswer: -4549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 116\/(-96) + (-1)\/4 and -38\/11.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -2*h**3 + 11*h**2 - 3*h - 3. Calculate p(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put -409, -1, -4 in descending order.\nAnswer: -1, -4, -409","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16623 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = 2*j**2 - 7 + 7*j - 9*j + 2*j. Let q be r(-3). Let x(u) = 98*u + 1. Let g be x(1). What is the highest common factor of q and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-4\/9)*u\/((u\/(u**(-3)*u*u))\/u))\/(u**(1\/6)*u**(-1\/4)*u) assuming u is positive.\nAnswer: u**(-49\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -3*u**2 - 1 + 1. Let b(n) = 9*n**2 + 9*n**2 + 26*n**2 - 41*n**2. What is b(g(x))?\nAnswer: 27*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/3?  (a) 11.2  (b) 0.4  (c) 104  (d) -5\/2  (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -n**5\/2 + 2107*n**4\/2 + 4219*n**3 + 6331*n**2 + 8443*n\/2 + 2111\/2.\nAnswer: -(n - 2111)*(n + 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) be the first derivative of -124*d**5 - 29*d - 654. Differentiate h(y) with respect to y.\nAnswer: -2480*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) be the first derivative of 33*a**5\/20 - a**4\/3 - 38*a - 15. Let w(p) be the first derivative of l(p). What is the third derivative of w(x) wrt x?\nAnswer: 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10321343.\nAnswer: 547, 18869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 295928 is divided by 586?\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/j**(2\/13)*j*(j\/(j\/j**(2\/19))*j*j)\/j*j)**(2\/43))**(10\/3) assuming j is positive.\nAnswer: j**(19520\/31863)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + sqrt(126)\/sqrt(252) + (sqrt(18) - -3*sqrt(18)) + 0.\nAnswer: -2 + 25*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = 138*f - 1255. Give d(9).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6*-1*-1*(-96)\/(23328\/405).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 greater than or equal to 1\/102116?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find z, given that 8*z + 14*z**2 + 12*z**2 - 24*z**2 + 6 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + s = -x - 780, 4*x - 2*s - 1042 = 0. Suppose 12*t - 13*t + x = 0. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Differentiate d**3*h**3 + 5*d**3*s + 61*d**3 + 4879*d*h**3*s + 7*d*s with respect to h.\nAnswer: 3*d**3*h**2 + 14637*d*h**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 176432206871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(-4\/5)\/h*h)\/h**(2\/5))\/(h**(-1\/2))**(-16) assuming h is positive.\nAnswer: h**(-46\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-2)\/(3\/(-3*2)). Suppose -f*d = -0*v - 5*v - 22, -3*d + 1 = 4*v. What is the second derivative of 10*b - d*b**4 + 8*b**5 + 3*b**4 - 3*b wrt b?\nAnswer: 160*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 l and 1 v when three letters picked without replacement from lvvvll.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 5 + 12)*(7*u**5 + 8 - 8 + (-2 + 1 + 0)*(-4*u**5 + 0*u**5 + 2*u**5) + u**5 + u**5 - u**5 + 3*u**5 - 3*u**5 - 2*u**5).\nAnswer: 152*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10010 (base 3) to base 7.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 minutes after 8:10 PM?\nAnswer: 8:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 0*i - 2*i + 5*i - 5*i - i. Let l(f) = 338*f**2. Give t(l(z)).\nAnswer: -1014*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) be the third derivative of -h**7\/1260 - h**5\/4 - 12*h**2. Let g(u) be the third derivative of a(u). Let q(y) = 5*y. Give g(q(c)).\nAnswer: -20*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Are -20752684\/5 and -4150538 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 314628.\nAnswer: 2, 3, 157, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:43 PM and 7:56 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 1640262904 a multiple of 2736?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = n**2 - 5*n - 17. Is s(-16) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 + (-2 - -6) + -6 - -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -7 - -27. Let u = 17 - b. Suppose t + 3*y - 10 = 0, 2*t + 40 = -t + 5*y. What is the smallest value in t, u, 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 277, -11, -5, 2, 35, 4.\nAnswer: -11, -5, 2, 4, 35, 277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (9\/(-120)*-8*5)\/((-51)\/2).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = m**2 - 18*m + 31. Let p be 221\/156*12 - 1. Give o(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0*d - d + 0*d)*(0*d - 2*d + 0*d) + 0*d**2 + 3*d**2 - 2*d**2)*(4605*d - 1111*d + 1286*d).\nAnswer: 14340*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (3 - 1)*(-10 + (-2 - -10)). Let r be (424\/48 - -2)*m\/6. Which is bigger: r or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 14456\/(-4448) - (4 - (-3986)\/(-552)).\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 65604065?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u = -u + 15, 5*v = 5*u - 5. Solve 5 = -v*c + 17 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) be the second derivative of 0 + 28*o - 1\/2*o**2 - 1\/12*o**4 + 1\/3*o**3. Let i = 9 - 14. Let k(b) = 3*b**2 - 5*b + 2. What is i*y(d) - 2*k(d)?\nAnswer: -d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-t + 2 - 2 + (-3*t + 6*t - 2*t)*(-1 + 1 - 1) - t + 2 - 2)*(0*t**2 - 3*t**2 + 0*t**2) + (-t**2 + 10*t - 10*t)*(-18*t - 64 + 64).\nAnswer: 27*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:27 AM and 7:22 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1134589, 1134583, 1134575, 1134565, 1134553?\nAnswer: 1134539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -2*n**3 + 72*n**2 + 66*n + 311. What is s(37)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1331319 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 34 is divided by ((-1)\/((-2)\/(-8)))\/((-10)\/45)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.1497 - 0.6497. Which is the biggest value?  (a) 2\/9  (b) o  (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -36\/11 and 37\/176?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -410 - -961. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**(-37)*((b\/(b*b**(-2\/15))*b)\/b)\/b assuming b is positive.\nAnswer: b**(-568\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*b**3 - 830088*b**2 - 57420507312*b.\nAnswer: -3*b*(b + 138348)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.036 and 5914.6.\nAnswer: -212.9256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xwq when three letters picked without replacement from {x: 3, q: 3, w: 5}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -76 + 1 = 5*h. Let w be (3\/5)\/((-1)\/h). Solve -5*m = 4*i + w, -4*m + 37 = -9*m + 3*i for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 149 and -2238.\nAnswer: -333462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 186942 and 378?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 65.0000006 + -65. What is r rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (1 - (1 + (-3 - -3))) + 3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 382 + -2680\/7. Let y = -11 - -8. Let o = 0.27 + 0.73. Which is the third biggest value?  (a) i  (b) o  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -615.04 - -589. Let c = 25.9999976 + t. Let d = c - -0.04. Round d to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -132*q + 9288 = 86*q - 46*q. Calculate the greatest common divisor of 4077 and q.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 27*l + 128. Let y(v) = -5*v - 25. Let o(b) = 2*r(b) + 11*y(b). What is o(0)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 123*r**3 - 154*r**3 + 34*r**3.\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -80 + (-14 - (-20 + -16)).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 7773.022ml?\nAnswer: 7.773022","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -j**2 + 12*j + 6. Give g(7).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 280895*a + 127 + 994*a**2 - 280895*a with respect to a.\nAnswer: 1988*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lalg when four letters picked without replacement from allggalgggglgglg.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-6)\/15)\/(7 - 819\/90 - -2). Let a(n) = 2*n**2 + 4*n - 4. Let z(f) = f**2 - 1. Let q(t) = 2*t**2 - t - 2. Let s(m) = q(m) - 3*z(m). Give l*s(y) + a(y).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -198*k - 453972 = -210*k. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1156\/70143 + 2\/681. Let v = s + 89\/721. What is the second smallest value in -2, 2\/33, v?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) be the second derivative of -571*v**4\/12 - 6*v**3 + 6*v**2 - 219*v - 2. Find the second derivative of j(x) wrt x.\nAnswer: -1142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 13672, 13674, 13676?\n\"Answer: 2*x + 13670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -2*v + 554. Let s(i) = 3*i**2. What is s(m(l))?\nAnswer: 12*l**2 - 6648*l + 920748","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 8639 + 3?\nAnswer: 8641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) be the third derivative of z**5\/10 + z**4\/8 + 127*z**3\/6 + 77*z**2. Differentiate q(k) wrt k.\nAnswer: 12*k + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 153144, 153148, 153154, 153162, 153172, 153184, 153198?\n\"Answer: p**2 + p + 153142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(45)\/(sqrt(81)\/sqrt(9)) - (sqrt(495)\/sqrt(9))\/sqrt(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 18438?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9268.\nAnswer: 2, 7, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2483324 (base 9) to base 15.\nAnswer: -1bb2cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -44 in -1, 3.3, 0.1, 1691\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4.91145997 + 2.094.\nAnswer: -2.81745997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) be the third derivative of -s**6\/30 - s**5\/12 - 8*s**2 - 2*s. Let d be y(-1). Let f(w) = -4*w + 1. Determine f(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40 = 4*u + u. Let b(h) = 2*h - 8. Let g(n) = 4*n - 21. Let s(i) = -3*i + 15. Let y(v) = 2*g(v) + 3*s(v). Determine u*y(w) - 3*b(w).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = d**2 - 7*d - 3. Let f be a(8). Suppose g - f = 6. What is the smallest common multiple of g and (10 - 9)\/(1 + 0)*3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 24664964 and 1102?\nAnswer: 1102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 226 - (86 + 153) - (24 - -1 - (-1 - 0))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 800897612?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -1299991*b + 27. Let k be y(-3). What is k rounded to the nearest 100000?\nAnswer: 3900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*y + 3*y - 1 - 36 - 223 = 0 for y.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 + -7 - 0) + (-127 - -46) + 71.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -76 rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -a**3 + 56*a**2 - 107*a - 51. Let k be i(54). Let t = -4 - -8. Suppose -t*l - 4*r = -428, -k*l - 5*r + 222 + 91 = 0. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n - 4*u = -85, 0 = -u - 3*u - 20. Let j be n\/14 + (-7)\/(-2). Suppose p + 31 + 16 = j*f, -9 = -3*p. Calculate the greatest common factor of 60 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11 - (-12 + -5 - -6)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 4*y**3 - y**2 + y - 1. Suppose -2*q = -4*q - 12. Let a be (-16)\/(-48)*q\/(-1 + 0). What is t(a)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 38885016?\nAnswer: 2, 3, 1620209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 156 minutes before 12:02 AM?\nAnswer: 9:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) be the first derivative of 191*z**4\/4 - 80*z**2 - 828. Find the second derivative of o(n) wrt n.\nAnswer: 1146*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (7 - 3) + -1 + -1 + 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 38159 - 21560. Suppose 0 = -r + l + 5901. Round r to the nearest one thousand.\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) be the first derivative of r**3 + r**2 + r + 1. Let d be v(-1). Find the first derivative of -3*x + d*x + 1 + 2*x wrt x.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -h**2 + 172*h + 4279. Calculate z(-22).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 33000243.\nAnswer: 3, 11000081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 6 + -1426?\nAnswer: -1420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 23926828?\nAnswer: 2, 5981707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0110642 to 4 dps.\nAnswer: 0.0111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*b - 636 = 8*h, -4*b + 11897*h - 11894*h + 250 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 108 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -21*w - 107. Let j be l(-5). Is 82 a factor of (-3 - (-3234)\/12)\/(j\/(-8))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*b + 0 = -84. Let t be (-11308104)\/(-4494) - 4\/b. Let c = t - 2516. Do 1 and c have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zjjkezqtq. Give prob of picking 2 j and 1 e.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4*((-28)\/(-10))\/((-3731)\/(-2665))*(-2)\/(-52).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i = -6*i + 99. Let p = 73 - i. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 2*s - 23. Let n be p(0). Let r = n + 25. Is r\/2 + (334 - 4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1220?\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 7434343 - 7434342.2579586. Let w = -0.80301 + v. Let q = w - -0.061. What is q rounded to 6 decimal places?\nAnswer: 0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 229, 271, 313, 355, 397, 439?\nAnswer: 481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10261*i - f = 10266*i + 15, f + 3 = -i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q = -21 - 0. Let z be (-1 - 18\/12)\/((-6)\/15). Let u = q - z. Put 1\/2, u, -4 in descending order.\nAnswer: u, 1\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -s**2 - 3*s. Suppose -4*h = -6*z + 3*z - 3, -5*h - 5*z - 40 = 0. Let g be q(h). Solve 5*n - 7 + 2 = g for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4 - 8. Let c be (-2)\/(-4) - 14\/y. Solve -6*z - 2*p = -2*z - 4, 3*z = -c*p + 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6276\/2615 + (6 - 12 - 93\/(-30))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -11 - -13. Factor -2*a**o - 5*a - 3*a + 4*a.\nAnswer: -2*a*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {y: 2, f: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -a**2. Let l(g) = 889279*g - 1. Give l(w(h)).\nAnswer: -889279*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3 - 1. Let v = -13 - -17. What is the third derivative of -2*r**4 - r**v + r**w + 2*r**4 wrt r?\nAnswer: -24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -3*t**2 - 1 + 4 + 0*t - 4 - 29*t. Let r be d(-6). Let c = r - -56. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((y*(y*(((y**(2\/7)*y)\/y)\/y)\/y)\/y*y)**(-31)\/(y\/(y\/y**3))**22)**(10\/3))**(-5) assuming y is positive.\nAnswer: y**(26200\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 39, 66, 105, 162, 243, 354?\nAnswer: 501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/6?  (a) 968  (b) 3  (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -60.926 + -0.074. Let d = 60.9 + k. Let n = 0.037 + 0.463. What is the fourth smallest value in n, -2\/7, 2\/9, d?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 3722, 3222, 1862, -790, -5166, -11698, -20818, -32958?\n\"Answer: -72*p**3 + 2*p**2 - 2*p + 3794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) be the first derivative of m**5\/5 + 3*m**2\/2 + 11*m + 31. Let k(p) be the first derivative of b(p). Differentiate k(x) with respect to x.\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ccjcccj. What is prob of sequence cj?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/15*474\/79.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 - 981.1812?\nAnswer: -983.1812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 4\/714531 and -91\/82130.\nAnswer: 7145310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 56437.5141 - 56441. Round o to one decimal place.\nAnswer: -3.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -111\/48796 and -39\/70976.\nAnswer: 780736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 29 + (0 - 35) - (-1 - 0) - 32.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 9 * 74398311\nAnswer: 669584799","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - 12384 = -4*o, -9*o - 2*y = -13*o + 12372. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 - 10 - (3 + (3 - 1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1602.\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 154\/(-28) + (-3)\/2 - -4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 + (-5 - 48) + (-121 - -128).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from cyyyyyyyyyyyyycc.\nAnswer: 11\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 2140929589 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40*c - 6020 = -44*c. Let w = -983 + c. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eyyuyyyee. What is prob of sequence eu?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((m**(2\/19)*m*m)\/m**(-3\/16))\/((m*(m*m*m\/(m*m*(m*m**22)\/m*m)*m)\/m)\/(m*(m**(-2\/25)*m)\/m)))**(-2\/9) assuming m is positive.\nAnswer: m**(-61339\/11400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-18)\/8 + 3)*(-4 - 1200\/(-210)).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) be the third derivative of y**5\/120 - 53*y**4\/8 + 8427*y**3\/4 - 491*y**2 - 2. Solve d(h) = 0 for h.\nAnswer: 159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -59 and -7.\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1155246 (base 9) in base 2?\nAnswer: 10011001000111001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 6+445323\nAnswer: 445329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*q = -3*w + 9, 35*q = 4*w + 32*q - 12 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 28 by -7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.3055498 and 57099.8.\nAnswer: 57099.4944502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*s + 4 = 16*n - 96, -3*n - s + 11*s = 25 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in -4, 16\/3058743, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 24536517?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 240 + -384. Let h = 1870\/13 + j. Which is the third smallest value?  (a) h  (b) 0.5  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 468\/104*26\/(-39)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 21204938 is divided by 10602465.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -3*m - 3. Let v be y(-4). Let q = 55 + -42. Let w = q - v. Solve c - 7 = -4*d, -3*d + 10 + 0 = -w*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -125 + 14?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -78.94934 to 1 dp.\nAnswer: -78.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 87, 0.4, 0.3, -1\/5, 5\/56, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2\/15 or -0.1406?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -19881*r**3\/2 - 25521*r**2\/2 - 3020*r - 200.\nAnswer: -(r + 1)*(141*r + 20)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -169*g + 181*g - 103776. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-351)\/286*6\/(-27)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 878503831?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6831427?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 0.7195135 days?\nAnswer: 62165966400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-42)\/(-12)*810\/21*4\/12 - 2?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (29\/(-5) - -4)\/((-12)\/40). Let t = -197 + 988\/5. What is the closest to 0.1 in d, -5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*m - 139 = -625. What is the hundreds digit of ((-3032)\/(-6))\/(18\/m)*1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*m**2 + 4*m**2 + 13005*m - 12949*m.\nAnswer: 2*m**2 + 56*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*r = h - 12*r + 11, -r = -3. What is the biggest value in -0.05, -387, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.5025 and 0.96?\nAnswer: 0.4824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -20 + -14 + 13 + 7?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = s**3 + 11*s**2 - 15*s + 28. Is 5 a factor of h(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -2*z**2 + 10*z + 7. Let q be u(5). Let g(p) = -q*p + 4 - 10 + 8*p. Let c be g(2). Is c less than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -44748 divided by -44.\nAnswer: 1017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) be the first derivative of -8*v**2 + 0*v**3 + 0*v - 1\/90*v**5 - 1\/18*v**4 - 6. Let p(z) be the second derivative of u(z). Factor p(a).\nAnswer: -2*a*(a + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 23083034*j**2 + 0*j - 23082349*j**2 + 0*j.\nAnswer: 685*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: ((-472)\/1770)\/((-18)\/(-30))\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 - (3 + -3 + -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -i - 2 + 6*i + 7*i - i to h*i + y and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17736*v**2 + 16042*v**2 - 29938*v**2.\nAnswer: -31632*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + 7 - 4 = 0. Which is the biggest value?  (a) 0.02  (b) -4\/7  (c) g  (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1150000 rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1295 and 5513.\nAnswer: 192955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -350*u + 6698 + 6602 for u.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -3, 84, -1.11, -3\/2, -4, 5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 13 (base 4) to base 14\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -22767*f**2 - f - 2. Let y(m) = -2*m**2. Calculate x(y(h)).\nAnswer: -91068*h**4 + 2*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -69, -122, -175, -228?\nAnswer: -281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3868685?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1369.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 35*(22\/(-10) + 1). Let h(l) = -3*l + 46. Let j = -590 - -619. Let g be h(j). Is q <= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -n**2. Let t(f) = 2*f**2 - 18. Let m(p) = 3*p**2 - 17. Let i(b) = 3*m(b) - 4*t(b). Calculate i(g(w)).\nAnswer: w**4 + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 32.063075929248 + -0.4.\nAnswer: 31.663075929248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1\/18 + 4\/9. Factor 1\/2 - 3\/2*t - o*t**3 + 3\/2*t**2.\nAnswer: -(t - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -20?  (a) -3  (b) -0.3  (c) 5  (d) 10\/7  (e) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-60321974)\/(-21575) - 4\/(-50) is divided by 87.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (4\/64)\/(1\/2)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y = -10*y + 25. Let g(w) = 3*w**2 - 7*w + 10. Let x be g(y). Let h = x - 46. Solve 0 = -j + 4*o + h - 3, -5*o - 4 = -4*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/2?  (a) 4  (b) 5  (c) -0.1  (d) -12309  (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 20, 63, 156, 323, 588, 975, 1508?\n\"Answer: 4*s**3 + s**2 + 12*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 799867 is divided by 159925.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 76 + 74 + 76 + 79 - 6*a + 75 - 371.\nAnswer: -6*a + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide 75838770 by -3558.\nAnswer: -21315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (9 - -1)*(-3 + 5)\/4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -63*x - 1947. What is the tens digit of a(-59)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = 6*n**3 + 2*n**2 - 3*n + 2. Let r be s(1). Suppose -2*g = -4*k - 12, -g + r = -3*k - 0*k. Solve 0 = -l + g*l - 15 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -5*m - 40. Determine i(-12).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -5.913 + 5.913. Is h at least as big as -7071?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6063034, -6063029, -6063032, -6063049, -6063086, -6063149, -6063244, -6063377?\nAnswer: -6063554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 237744 and 117.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2807*p + 154 = 2812*p - b, -2*p + 3*b + 72 = 0 for p.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -17 - (1 - 0) - (-45 + 37).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 290614?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1133*j + 1069*j - 49 - 79 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h - 1 = r, -8 + 2 = 2*h - r. Let b be (1 + (3 - 6))\/h. Which is smaller: b or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-21 - -24) + -4 + -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 17 - 7 = 2. Calculate the remainder when 1052 is divided by x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 13313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 6\/3616385 and 44\/20975033.\nAnswer: 104875165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 56.80205 millennia in years?\nAnswer: 56802.05","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -28*h - 202. Let o(f) = 13*f + 101. Give 13*o(t) + 6*s(t).\nAnswer: t + 101","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.01, -4782288, -2\/15 in decreasing order.\nAnswer: 0.01, -2\/15, -4782288","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(432) + -5)**2*5 - sqrt(432) - sqrt(432)*-2*3.\nAnswer: -540*sqrt(3) + 2285","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -1345*j + 1. Let y(b) = 686*b. Calculate y(c(n)).\nAnswer: -922670*n + 686","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (14\/(-6) + 2)*-3. What is the tens digit of (-76)\/(-12)*3\/s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 143*y = 148*y - 20. Sort 6, 2, y in descending order.\nAnswer: 6, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12868.\nAnswer: 2, 3217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*q + 9 - 9)*(16*q + 18*q - 4 - 32*q).\nAnswer: -10*q**2 + 20*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = x**3 - 2*x**2 + 102*x - 557. Let t be c(5). Let f = -0.58 - -3.48. Let q = f - 3. Put q, 2\/3, t in descending order.\nAnswer: t, 2\/3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -22212 (base 3) to base 16\nAnswer: -ef","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (2\/2)\/(3 - 2). Let a be 3\/(1 + 0) - w. What is the second derivative of c + 2*c**2 - 3*c**a + 0*c wrt c?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 4592 divide 186003552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cccceccc. Give prob of sequence cc.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000002797 to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1390860447?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 25 * 3\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -5 + -15?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 398*w + 1411 = 315*w for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -103\/6408 and 79\/3672.\nAnswer: 326808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ffmf when four letters picked without replacement from smfvaffmvmk.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((1*sqrt(150))\/sqrt(10))\/((sqrt(245) + sqrt(5) - sqrt(5))*4) + 4)*2 + -2.\nAnswer: sqrt(3)\/14 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**(-22)\/(w*w**(-9)) assuming w is positive.\nAnswer: w**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -27 + 21 + 57*c - 66*c.\nAnswer: -9*c - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 17689 + -17164. Let z = 46 + -43. Calculate the highest common factor of t and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = 0*q - 483 + 2*q + 491. Suppose -111 = 11*i - 1. Give t(i).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -8*a**2 + 16*a - 15. Let c(r) = 7*r**2 - 16*r + 14. Let o(b) = 7*c(b) + 6*j(b). What are the prime factors of o(18)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 p and 2 i when four letters picked without replacement from lippiippiipgiip?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mlllbblal. What is prob of sequence bal?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 36\/30 + (-2)\/10. Let g be ((-1)\/3)\/((-8)\/72). Let j(p) = -1 + 2*p - 5*p**2 + 3*p**2 + 4*p**2 - g*p**2. Give j(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 25*y**2 + 70*y**2 + 26*y**2 - 46*y**2 as f*y + a + i*y**2 and give i.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 45111802391809.70000096 + -45111793114706. Let k = -9277102 + j. Let w = k + -1.7. Round w to seven decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:24 AM and 7:18 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 296 minutes before 8:23 AM?\nAnswer: 3:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + (-1*1*sqrt(13) + (sqrt(13) - (-5*sqrt(13)*3)**2))*5 + 1 + -1)*4.\nAnswer: -58488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -42*n - 0 - 0. Let l be (n + -3)\/((-15)\/50) - 5. Suppose f - 6*f = -15. Solve 0 = 2*p + h - f, -3*p - l*h + 4 = -4*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 30\/(-24)*(-12)\/(-10)*-1.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -72, -94, -136, -204, -304, -442?\n\"Answer: -c**3 - 4*c**2 - 3*c - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -76 = -2*q + 2*d, -4*q + 3*d = -155 + 2. Let o = 14 - 35. Let f = o + q. Does 9 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 8 = 2*m, c - 3*m + 2*m + 4 = 0. Suppose c = -0*u + u - 16. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -495 + 494.72. Which is the biggest value?  (a) x  (b) -2  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 k and 1 m when three letters picked without replacement from {k: 4, y: 7, n: 3, f: 1, m: 1}.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*m**3 + 10*m**3 + 17*m**3 + 10*m**3 - 13*m**3 - 29*m**3.\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = 8*q**2 + 2*q + 7. Let l be 11 + (2 - 42\/7) - 1. Let u(m) = 17*m**2 + 4*m + 15. Give l*u(v) - 13*k(v).\nAnswer: -2*v**2 - 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-1\/3))**(-37)*(p\/(p\/p**(-1\/3)*p))\/(p*p**(2\/9)\/p)*((p*p**(-2\/3)*p)\/p)**(-19)*(p**(-1))**3 assuming p is positive.\nAnswer: p**(13\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-14)\/(-3) + (-2)\/(-6). Suppose 2*w = d*w - 9. Let t = -1364880 + 1364928. Calculate the highest common factor of w and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 4*m**3 + 11*m**2 - 5*m + 5. Let f = -134 - -139. Let n(g) = 2*g**3 + 5*g**2 - 2*g + 2. Give f*n(i) - 2*t(i).\nAnswer: 2*i**3 + 3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.066 plus 35804?\nAnswer: 35805.066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9071035 - 9071035 - 9*r.\nAnswer: -9*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 105 and 168.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -29*p - 88. Let g be z(-13). Let k = g + -243. Calculate the remainder when k is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -78*c**2*f**3 - 332*c*f**3 - 42*f**3 + 666 wrt c.\nAnswer: -156*c*f**3 - 332*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*g\/(g\/((g**(-3)\/g)\/g))*g*g)\/g)**(-20) assuming g is positive.\nAnswer: g**60","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) be the second derivative of w**4\/3 - 16*w**3\/3 + 31*w**2\/2 + 1329*w. Determine v(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-135)\/12*(-4)\/(-10). Let b = -22 + 16. Which is bigger: y or b?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -3*a + 9. Suppose 0 = -0*t + 2*t - 4*v - 18, 5*t - 81 = -2*v. Let l be 2\/5 + (-81)\/t. List the prime factors of p(l).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -5*s. Let z(d) = 271*d - 17. Let k(i) = -175*i + 16. Let o(b) = 3*k(b) + 2*z(b). What is t(o(n))?\nAnswer: -85*n - 70","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.0168 and -111.396.\nAnswer: -111.4128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*z + 27 + 9*z - 160 - 5*z in the form m + h*z and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/9*(168\/(-64))\/7\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 55640213 to the nearest integer?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 9 - 0 - (-5 + 9)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*x + 5 = 5 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) be the first derivative of -l**4\/4 - l**3 - l**2\/2 + 3. Let k be a(-1). Which is smaller: k or 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (0\/1)\/(1 + 1). Let l be ((-2)\/4)\/(75\/24 + -3). Which is the nearest to f?  (a) -0.4  (b) 1  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-4)\/72*-2678 - -3. Let q be 609\/4 + 2\/(-8). Let p = s - q. Which is the second biggest value?  (a) 2  (b) 2\/7  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange g**2 + 2*g - 2*g + (43*g - 26*g - 25*g)*(216*g - 1893 + 1893) to i + c*g**2 + p*g and give c.\nAnswer: -1727","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 3 - 2 + 5 + 26519*h.\nAnswer: 26519*h + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-16)\/6)\/(2\/6))\/(2928\/(-2928)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -9840, -19680, -29520, -39360, -49200?\n\"Answer: -9840*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -101220 (base 3) in base 15?\nAnswer: -149","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1670?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 6 + 0. Determine p, given that y*p + 0*p + 2*p + 0*p**3 + 5*p**2 + p**3 + 4 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -j**3 + 5*j**2 - 10*j + 21. Calculate v(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -o**3 + 7*o**2 + 13*o + 19. List the prime factors of a(8).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 222 and 2664.\nAnswer: 2664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 7*p = 188. Suppose -4*a - 5*x = -p, -a + 0*x - 2*x = -11. Let f be (-6 + 4 + -11)\/(1\/(-9)). What is the greatest common divisor of a and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find z, given that -64\/5 + 12\/5*z**2 + 2\/5*z**3 + 0*z = 0.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 721955 to the power of 1\/2, to the nearest integer?\nAnswer: 850","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (87526 - 87526 + 6314*h**4)*(h + 4*h - 3*h).\nAnswer: 12628*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 938 divide 839085086?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2069 - 2037. What is the remainder when 4607 is divided by b?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -335 - -337. What is the units digit of (a + -1 + 164)*(-17)\/(-17)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17 - 237067*d + 725536*d + 0 + 17.\nAnswer: 488469*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 52, -325, -566, -671, -640, -473?\n\"Answer: 68*q**2 - 581*q + 565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 346, 288, 190, 52, -126, -344, -602?\n\"Answer: -20*x**2 + 2*x + 364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000253590996 rounded to 6 decimal places?\nAnswer: -0.000254","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*d**3 - 82 + 69*d**2 - 38 + 11*d**2 + 2*d**3 - 59.\nAnswer: 6*d**3 + 80*d**2 - 179","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) be the third derivative of -d**9\/12096 + d**6\/180 + d**5\/15 + 4*d**2. Let r(z) be the third derivative of u(z). What is the derivative of r(o) wrt o?\nAnswer: -15*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 6, s: 2}. Give prob of picking 1 s and 1 h.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:17 AM and 2:13 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -135022 divided by 48\nAnswer: -67511\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.18, -5, 2, 4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -9.27164 - -0.27924. Let y = 9 + q. Let b = y - 0.007803. Round b to 5 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*v + 5*i - 15 = 0, v + 4*i - 15 = -3 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 52489\/7 + -7498. Sort 0.11, 2\/41, z in descending order.\nAnswer: z, 0.11, 2\/41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -4 and 0.013?\nAnswer: -0.052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 195099480 divided by 14484?\nAnswer: 13470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -d + 51863*y = 51845*y - 106, -4*d + 4*y = -16 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 14 and 338.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 3*a**2 - 67*a + 672. What are the prime factors of t(75)?\nAnswer: 2, 3, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = 15*a**2 + 5*a. Is u(3) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 3 v when four letters picked without replacement from {c: 13, v: 3, h: 3}.\nAnswer: 13\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 39 + -4 + 5 + 0. Calculate the greatest common factor of l and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f - 6*m - 15 = -m, m - 17 = -3*f. Let g(j) = -6*j**3 + 2*j**2 - 8*j - 5. Let o(z) = -5*z**3 + 2*z**2 - 7*z - 4. What is f*o(s) - 4*g(s)?\nAnswer: -s**3 + 2*s**2 - 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 113001785.\nAnswer: 5, 13, 647, 2687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(-1*sqrt(1944))\/(-2*sqrt(12)*-5)*3.\nAnswer: -27*sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -52*l. Let j(c) = 2*c**2 - 21*c - 3. Give j(r(t)).\nAnswer: 5408*t**2 + 1092*t - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2 + 1.7. Let j = i + -0.1. Which is the smallest value?  (a) 0.4  (b) j  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2093508377 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 - 10 - 12)*(0*w - w + 3*w) - w + w + 2*w.\nAnswer: -52*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(1\/19)*f)**(2\/43))**(2\/15) assuming f is positive.\nAnswer: f**(16\/2451)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 51677 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = 38*x**2 + 2*x + 0*x - x - 1 + 0*x. Let h be c(1). Suppose -3*k + h = -k. Is 13 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -56689.24 rounded to the nearest 100?\nAnswer: -56700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 876 - 612. List the prime factors of h.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -n**2 + 1. Let a be o(-1). Suppose 7*f = f + 72. Suppose a*r + 2*r = f. 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: Solve -37 - 3 = 8*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u + 5*g - 22 = 13, -3*g - 24 = -2*u. Let w(h) = h**3 + 2. Let y(j) = 9 + 140*j**3 - 68*j**3 - 69*j**3. Give u*w(d) - 2*y(d).\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ppmppmpmpmmmpmmm. What is prob of sequence mpp?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -6*x**3 + 0 - 2\/5*x**5 - 14\/5*x**2 + 0*x - 18\/5*x**4.\nAnswer: -2*x**2*(x + 1)**2*(x + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -5.77 - -2.77. Which is the closest to -2?  (a) -0.3  (b) 0  (c) l  (d) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.121 - -7.579. Let p = 8 - u. Which is the nearest to -0.1?  (a) 1  (b) 1\/3  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -1510*a*n*w**2 - 11*a*w**3 - 23*a*w - 42*n*w**3 + 10*n*w - n + 8*w**3 - 56 wrt a?\nAnswer: -1510*n*w**2 - 11*w**3 - 23*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x - 27 + 77 = 0. Let b be 10\/1 + x\/5. Let u = -7 + b. What is the highest common divisor of u and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) be the second derivative of -d**6\/30 - 39*d**5\/4 - 599*d**4\/12 - d**3\/3 - 2*d + 11. What is the third derivative of n(x) wrt x?\nAnswer: -24*x - 1170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1.04 + -0.04. Let l = 32 - 97\/3. Which is the closest to p?  (a) -0.5  (b) l  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 242\/5 + -48. Is s at most as big as -23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u = 4*c + 883395, 0 = 29*u - 34*u - 2*c + 1472299. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = -4*v + 3*v + 278, 2*v = -4*l + 1110. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11644 = -4*s + 2*g, -5*s + 2911 = -4*s - 5*g. Suppose s = 4*r + 563. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37*a + 98 = -87. Let r(q) = -q**2 + 3*q + 7. Give r(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 76452.21 millimeters?\nAnswer: 76452210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -2\/11, 5161 in ascending order.\nAnswer: -1, -2\/11, 5161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 43\/2476298 and 143\/10805664.\nAnswer: 118862304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1451*y - 124 + 368*y + 255 - 131 to the form d + a*y and give a.\nAnswer: -1083","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b - w = -864, -b + 2*w + 508 = 2*b. Let f = 19 + b. Calculate the remainder when f is divided by 99.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zggzlzvzz. Give prob of sequence glzl.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -43*b**2 + 34*b + 2. Let x be ((-7)\/3)\/((-1)\/3). Let i(w) = -29*w**2 + 23*w + 1. Let f(d) = x*i(d) - 5*c(d). Factor f(h).\nAnswer: 3*(h - 1)*(4*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -587 + 6401\/11. Find the common denominator of b and -32\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -7*m**2 - 10*m + 3. Let t(b) be the second derivative of -11*b**4\/12 - 5*b**3\/2 + 5*b**2\/2 - 2*b. Let k(z) = 8*p(z) - 5*t(z). Determine k(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*b = -16 - 2. Suppose -b*x + 88 = 4*s, 25 = 4*s - 2*x - 83. Factor -12*a + 3*a**4 - 22*a**3 - 9*a**2 - 6 - 3*a + s*a**3.\nAnswer: 3*(a - 2)*(a + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -29*d - 12*d - 32*d + 7*d + 1. Is j(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10 - 10100110100?\nAnswer: -10100110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-4)\/10)\/((-6)\/15). What are the prime factors of z*(-2 + 0 + 43)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-252)\/(-1155))\/((-2)\/(-5)).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.14329 - 32.83471. Let n = -0.022 + w. Let s = n - -29. Put 3\/7, s, -0.1 in descending order.\nAnswer: 3\/7, -0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*u - 22*u - 12 = 0. Suppose -3*n + u*i = 12, i = n + 3 - 0. What is the tens digit of 118 + (0 - (-3 + 0 + n))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 56092 divided by 1.\nAnswer: 56092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -21a0a (base 12) to base 4\nAnswer: -22321222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2 + 1. Suppose -2*k + 4*w = -60, -311 + 335 = 2*k + 5*w. What is the remainder when (19 - k) + b + 266\/2 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 65 a factor of 1745503?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = o**2 - 1395*o - 21134. What is c(-15)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -39*d**3 - 2*d**2 - 2*d. Let x(q) = 988*q**2 - 336*q**2 - 279*q**2 - 282*q**2 + 91*q + 1755*q**3. Give 91*l(a) + 2*x(a).\nAnswer: -39*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 23104?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 6, 8, -6, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 334.966884 less than -21.2?\nAnswer: -356.166884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 8 = -k - 3*k, -k - 8 = -2*g. Solve s + 5*t + 4 = g*s, s - 5*t = 8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 881 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6 - 5 + 96316*n**5 - 96315*n**5 + 6*n**5 - 3*n**5 - 4*n**5 + 2*n**2 + n**5 - 2*n**2 + (-n**3 + n**5 + n**3)*(0 - 1 - 1).\nAnswer: -n**5 - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) be the first derivative of -q**2\/2 + 8*q - 3. What is the lowest common multiple of 10 and h(-6)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*l + 10*l - 7*l + (3 + l - 3)*(3 + 4 - 5))*(-1019 + 199 - 567) + 2*l - l + 0*l.\nAnswer: -13869*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -w**2 - 6*w**2 - 4 + 8*w + 5*w**2. Let t be f(3). Suppose -45 = -2*m + 6*k - k, -42 = -t*m + 2*k. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fdfxt. Give prob of picking 1 f and 1 x.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 23 + 176. Let x = v + -201. What is the biggest value in -1, x, -18?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 6680, 13192, 19704, 26216, 32728?\n\"Answer: 6512*w + 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) be the third derivative of 0*k**3 + 0*k - 2*k**2 + 0*k**6 - 1\/42*k**7 + 0*k**5 + 0 - 47\/24*k**4. Find the second derivative of x(m) wrt m.\nAnswer: -60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2576*o**3*t**2*y**3 + 4*o**3*t*y**3 + 100*o**3*t*y**2 - 7*o**3*y**2 - 2*o**2*t*y**3 - 2*t**2*y**2 - t**2 + y wrt t.\nAnswer: -5152*o**3*y**3 - 4*y**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29 = 5*v - 2*s, -s - 4*s = 2*v. List the prime factors of ((-14)\/3 + v)*909.\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.26*121348\nAnswer: 31550.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -1 - 972*i - 1 + 966*i. Let y(x) = -2*x**2. Give y(o(n)).\nAnswer: -72*n**2 - 48*n - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*i**6 + 552*i**5 + 4191*i**2?\nAnswer: 240*i**3 + 33120*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -9 - (8 - 25 - -7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -o - 1. Let f be p(-6). Suppose -a + f = 4*a. What is the first derivative of -1 + 0*y**4 + 2*y**4 - a wrt y?\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.1 and 174.\nAnswer: 17.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 3, p: 12}. What is prob of picking 2 j and 1 p?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f + 986 = 2*v, -4*v + f + 336 = -1636. Put v, 2, 1, -5 in decreasing order.\nAnswer: v, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 2213267500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-14)\/(-147)*((-2781)\/54)\/103.\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z*z\/z**(-14))\/((z**(-1)*z)\/z)*z**(1\/7)*z**(-6\/19) assuming z is positive.\nAnswer: z**(2371\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -5.2 - -1.2. What is the closest to 2 in -0.1, u, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 1, c: 3}. Give prob of picking 1 k and 1 c.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -x - 5*s + 29, -4*x = -0*s + s - 21. Suppose 5*a + 6 = 11. Solve a - 5 = -x*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1e17 - b5?\nAnswer: 1d62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*g - 3*g + 2*g + (6 + 3 - 6)*(-2*g - 2*g + 5*g))*(3*g - 4*g + 5*g).\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -31\/29696 and -25\/61184?\nAnswer: 7097344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -k - 4. Let c be a(-6). Let f = -1 + 1. Let o = f + 1. Does c = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 75160 by -5.\nAnswer: -15032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = y**2 + 75*y + 276. Give x(-71).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 6860 and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3*m**3*u**2 - 39*m**3*u + 3419*m**2*u**2 + 3501*u wrt u.\nAnswer: 6*m**3 + 6838*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -180 - -274. Let u = -60 + p. What is the remainder when 3*(2 - (-236)\/12) is divided by u?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 14126, 14128, 14132, 14138, 14146?\n\"Answer: o**2 - o + 14126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t and 1 g when two letters picked without replacement from {g: 3, y: 1, u: 10, t: 1, d: 2}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -258.26306 rounded to the nearest integer?\nAnswer: -258","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -p**2 - 5*p. Let y = 276 + -274. Suppose y*q + 2*x = -2, -5*q = -0*q - 4*x - 40. Let l(a) = a**2 + 4*a. Give q*v(s) + 5*l(s).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -7899 or 444\/17?\nAnswer: 444\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 11.5 + -12. Let c = 5.775 - 5.875. Let o be 2 + (-1 - (-2)\/2). What is the closest to c in t, o, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) be the second derivative of n**4\/12 + 99*n**2\/2 + 3*n. Let k be m(0). Calculate the highest common divisor of k and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 111\/672452 and -71\/609348.\nAnswer: 207787668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) be the second derivative of -j**3\/3 + j**2 + 2*j. What is the lowest common multiple of 1 and c(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -2*(2 + -3) + 451. Suppose 7*a - 10*a + r = 0. What are the prime factors of a?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is a529c (base 16) in base 14?\nAnswer: 138780","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 14904014?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-4)\/10 + (-32)\/(-5). Let o be ((-2)\/4)\/((-2)\/r)*6. Solve -4*b = 3 + o for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -13257a + -6?\nAnswer: -132583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.05 times -300.44245?\nAnswer: 15.0221225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/7)\/((-2978)\/(-13401)).\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 divided by -5832?\nAnswer: -5\/5832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5 + 6. Suppose -x - x = 0. Suppose 4*m - 2*l + 10 = x, -4*m - 4*l + 20 = -2*m. Solve -3*d = y - v, 0 = -y - m*d + 4*d - 17 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 662 minutes before 1:35 AM?\nAnswer: 2:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 116967679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3399462 + 48*f**2 + 58*f**2 - 3399462.\nAnswer: 106*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1905 is divided by 490.\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 254 (base 10) to base 15\nAnswer: 11e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -77, -294, -651, -1148?\nAnswer: -1785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) be the second derivative of -z**4\/12 - 2*z**3 + 5*z**2\/2 + 136*z. Determine y(-12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -384, -4, 4, -1 in ascending order.\nAnswer: -384, -4, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 26254021?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*k + 11*k - 501*k**3 - 222*k**3 + 47*k.\nAnswer: -723*k**3 + 61*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*a + 67 - 97 = 0. Suppose a*v + 3*f - 14 = 0, 5*v - 28 + 12 = -2*f. Let d(m) = m**2 - 5*m - 3. Determine d(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*n**3 + 3*n**2 - 3*n**2 - 4*n**3 - 14*n - 49*n**3 + 13*n + (2 - 2 - 2*n)*(3*n - 2*n**2 - 3*n))*(-5 - 12*n**2 + 3 - 11*n**2).\nAnswer: 1081*n**5 + 117*n**3 + 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 11470 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find q such that 2*q**4\/15 + 282*q**3\/5 - 1708*q**2\/5 + 2056*q\/3 - 2288\/5 = 0.\nAnswer: -429, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = d**3 + 40*d**2 + 147*d + 126. Let b be z(-36). Solve -37*p = -39*p + 2*t - b, -5*p - 2*t = 10 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j - l - l - 11 = 0, 0 = 2*j - 2*l + 24. Let n be 2\/j - (-8)\/14. Which is smaller: n or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bbxfbbbfbbfcbb. What is prob of picking 1 c and 3 f?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) be the second derivative of 0*i**2 + 0*i**5 - 1\/5*i**6 + 1\/6*i**3 + 0*i**4 + 0 - 4*i. Find the second derivative of p(t) wrt t.\nAnswer: -72*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -38, -69, -90, -95, -78, -33, 46?\n\"Answer: r**3 - r**2 - 35*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3 + 5)\/16)\/((-13)\/(-442)).\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-270)\/(-30))\/(-3 + 9)*(-588)\/(-18)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.24?  (a) -0.1  (b) 46  (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 1 + 3)*(-7398*i - 40*i**2 - 478*i**2 + 7398*i).\nAnswer: -1036*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1610590477?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*w - 2*w + w)*(89*w**3 + 3671 - 3671) - 235*w - 3*w**4 - 6 + 2*w**3 + 235*w in the form i*w + s + x*w**3 + f*w**4 + m*w**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4 + 2 - 4)*(230 - 20 - 8)*(0*g**3 + 10*g**3 - 4*g**3) + g**3 - 4 + 4 to o*g**2 + s*g**3 + a*g + k and give s.\nAnswer: 2425","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-18)\/(-945)*-168*(-17 + 6\/3).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (37 + 1018*c - 153 + 115)*(2 - 3 + 3).\nAnswer: 2036*c - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 4*y**2. Let t(m) = -400722*m. Calculate t(x(v)).\nAnswer: -1602888*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 407 + -410.9. Which is the second smallest value?  (a) -2\/9  (b) -1\/3  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 1 = 3*f - 5*y, f = 3*y + 12. Let o be (2*(-1)\/(-2))\/(22\/(-330)). Let r be (o + 13)*f\/(-14). Which is the closest to 0.2?  (a) -3  (b) r  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in fifty-nine quarters of a century?\nAnswer: 17700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-3 - 25\/(-10))*-12. Suppose d = -q + p, 3*d + q = 4*q + 6. Solve -d*v + 9 + 7 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 27 - 102?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 29.69 - -0.31. Let u = h - 31. Is u at least 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 3*z + 17 = 0, -z + 6*z - 29 = 2*u. Suppose 7 = h - 3*l - 4, h + l - 11 = 0. Let n = h + -9. Which is the nearest to 3\/5?  (a) n  (b) u  (c) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -c - 16. Let l be v(-16). Differentiate l*w - 13*w - 1 + 2 wrt w.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 120 in 28, -2\/11, -3?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -w**3 + 26*w**2 - 30*w + 31. Let h be o(21). Suppose -4*y + h = -15*y. What is the common denominator of y\/10*10\/(-28) and 9\/250?\nAnswer: 1750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 505 - -7. Suppose 5*i - 7 = 3. Let g be d\/i - (6 + -1 - 1). Calculate the highest common factor of g and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 113634 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 844*s - 679. Is 3 a factor of p(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 17777 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2\/51 - 19\/51. Suppose 4*o = -5*t + 4, -3*o = o - t + 20. Which is the smallest value?  (a) 3  (b) g  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 540848809 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 16563 and 17.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 171 and 3?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kkpk when four letters picked without replacement from {p: 2, k: 4, t: 1, s: 1, j: 1}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -2740+4\nAnswer: -2736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1694) + sqrt(1694) + (sqrt(1694)*2*-5 - sqrt(1694)) + sqrt(1694) + 2*sqrt(1694)*-1)\/((sqrt(280)\/sqrt(80))\/(sqrt(32)*2)).\nAnswer: -1760*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -84, -129, -204, -309, -444, -609?\nAnswer: -804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.9 + -4881?\nAnswer: -4880.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve q = m, -6*m - 16 = -2*m for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:15 PM and 12:35 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*j = -41 - 31. Let f be (-66)\/(-297) + 16\/j. Solve 0 = -6*d + f*d - 8 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 divided by 12515?\nAnswer: 3\/12515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -r. Let z(y) = 336*y. Let i(x) = x. Let k(w) = -616*i(w) + 2*z(w). Determine k(a(d)).\nAnswer: -56*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 110, 113, 116, 119, 122?\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -219*u**2 - 3*u - 2. Determine y(-1).\nAnswer: -218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve m - 26 = -5*v, 6 = m + 19*v - 18*v for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -114*m + 408 = -120*m. Is -67 at most m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10190.6 times 13?\nAnswer: -132477.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = 1116*j**3 - 610*j**2 + 6*j. Let c(p) = p**2 + 3*p. Let y(f) = -6*c(f) + 3*n(f). What is the third derivative of y(g) wrt g?\nAnswer: 20088","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -557 divided by -1?\nAnswer: 557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 6?  (a) -0.03  (b) 0.2  (c) -0.1  (d) 0.287  (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1539) - 5*(-1 + sqrt(1539)) - (-3 + sqrt(1539)*1))**2 - (0 + (sqrt(76))**2*1 + -1).\nAnswer: -720*sqrt(19) + 38464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.1 or -0.0772?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 5618547749 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 328 - 23?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n = 16*g - 17*g - 1452, -3*n + 1443 = 2*g. What is the greatest common divisor of n and 276?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*g + 61555 + 570 = 0. What are the prime factors of g?\nAnswer: 5, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -19*a**2 + 166*a - 168*a - 44*a**2 - 1 to c*a**2 + y + z*a and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 86*w - 194 = -1487 - 341 for w.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) be the second derivative of -1\/3*p**3 + 0 + 14*p**2 + 16*p. Calculate the lowest common multiple of m(8) and 9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seven eighths of a millisecond in microseconds?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 19723555, 19723570, 19723585, 19723600?\n\"Answer: 15*p + 19723540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 23 - 32. Let u be 12\/((-6)\/t*3). Let w(m) = m + 5. List the prime factors of w(u).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-216)\/252)\/(6\/(-28)))\/((-52)\/(-1352)*-377)?\nAnswer: -8\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*j + 4*j - 4*j)*(-j + 4*j - 2*j) + 0*j**2 - j**2 - 8*j**2 - 4 + 4 + 32*j**2.\nAnswer: 25*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = 12*g + 8. Let o be b(-6). Let z = 46 + o. Let r = z + 66. Does 24 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16393722607 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*i + 8 - 2. Let m(o) = i*o - o + 0*o. Let h(r) be the first derivative of -5*r**3\/3 - 53. Give m(h(f)).\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -n - 1. Is n bigger than 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 44*y**3 + 16374*y**2 + 2222*y - 3719. Determine b(-372).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 548546 to the nearest integer?\nAnswer: 741","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 74 = -32*z + 36 - 58 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 15\/10*(-4)\/(-3). Let w(z) = 2*z**2 + 2*z - 2*z + z**i. Let o(u) = -6*u. Let b(l) = 2*l. Let j(m) = -8*b(m) - 3*o(m). Give w(j(q)).\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -4*q + 6. Let g be b(-5). Suppose -3*r = -g + 8. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10 (base 5) to base 8\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -106*z - 30. Determine i(-3).\nAnswer: 288","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 340 divided by 35\nAnswer: 68\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3256\/(-740)*4\/8*-2*1465?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 28\/(-98) - (-6 + 11 + (-680)\/28). Solve -12 = 17*x - i*x for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z**4\/9 - 32*z**3\/9 - 52*z**2\/3 - 224*z\/9 - 98\/9 = 0. What is z?\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.4 - -0.8. What is the closest to 4 in f, -5, 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -2*r**3 - 7*r**2 - 5*r - 4. Let m(x) be the second derivative of -1\/3*x**4 - 1\/20*x**5 + 6*x - x**2 + 0 - 1\/2*x**3. Determine 7*m(n) - 4*o(n).\nAnswer: n**3 - n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-5500)\/3)\/((-1)\/1680). Round z to the nearest 100000.\nAnswer: 3100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 238*c*s**3 + 3*c*s**2 + 126816*c*s + 324874356*c wrt s.\nAnswer: 714*c*s**2 + 6*c*s + 126816*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = 1135*p**2 + 111*p - 775. Is u(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1146?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 106652271 or 106652272?\nAnswer: 106652272","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 8345?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -43*l + 46*l - 276 = 0. Calculate the greatest common factor of 115 and l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (0 - 2\/8)*-108. Suppose -10*z - 9 = -19*z. Sort d, -2, 4, z in descending order.\nAnswer: d, 4, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 48150?\nAnswer: 2, 3, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from dfihhnfhidhifi?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -l + 3 + 4 = -3*n, 3*l - 5 = 5*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 181064.\nAnswer: 2, 13, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 12\/25 of a kilometer in meters?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 2 t when three letters picked without replacement from {b: 4, r: 4, x: 2, t: 4, y: 2, e: 4}.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 61959*o**5 + 3*o**4 + 101993*o**2.\nAnswer: 3717540*o**2 + 72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2.9999891 + 3. Round g to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 15 + -12. Let o(q) be the first derivative of 1 - q**2 + 0*q - 2\/3*q**c. Find the second derivative of o(r) wrt r.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vqiieieeivvvieev. What is prob of sequence ieev?\nAnswer: 25\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve v + 8 = -k, -2*k = -177*v + 180*v + 13 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 24830\/7 + -3540. Let m be -4 - 5732\/(-304)*-1. Let v = 135\/19 + m. Find the common denominator of s and v.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 401 minutes before 6:28 PM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1110220 + -1?\nAnswer: -1110221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (-95)\/(-19) - 8 - (6 - (0 - 4))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 179\/171 or 2?\nAnswer: 179\/171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 27280281?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2005816 = 48*a - 11009368. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 + -6 + (-6 - (-5 - (-15 - -8)))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5 times 6.96?\nAnswer: -3.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2.882 - -0.018. Let r = 3.1 + h. Which is greater: 3 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 53, 3, 1, 5, -30 in increasing order.\nAnswer: -30, 1, 3, 5, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-39)\/(-6) - (-3)\/(-6). Let o(a) = -a**2 + 13*a - 39. Let w be o(s). Solve -w*n = -n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 2*d**3 + 22*d**2 + 36*d + 36. Let z be p(-9). Suppose -w = -4*w - 15. Sort 3, w, 4, z in descending order.\nAnswer: z, 4, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) be the second derivative of 0*f**2 + 0 + 0*f**5 - 5*f + 0*f**3 - 1\/6*f**6 - 5\/6*f**4. Find the third derivative of w(m) wrt m.\nAnswer: -120*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 197640 and 88938?\nAnswer: 1778760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b + 2 - 21 = -5*q, -2*b + 30 = 2*q. Does 8 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -3 - -78?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 144*j - 3328 = 352*j for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.11443 rounded to 3 decimal places?\nAnswer: 0.114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18749323 is divided by 49.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 33 - 27. Let z = -33 + k. Let m = z + 26.5. Put 16, m, 1 in increasing order.\nAnswer: m, 1, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h - 10 = -2*h. Suppose 3*t = 2*t - 2*n + 14, -t + h*n + 7 = 0. Calculate the greatest common factor of 132 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 12952649468 - 12952649527.00000027. Let h = 59 + n. What is h rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 79412?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -22*u**2. Let n(j) = 140*j - 47*j - 82*j. Determine n(g(p)).\nAnswer: -242*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = n**2 + 2*n - 53. Let x be p(-9). Let c be 2\/(-3)*(1 - 4). Let l(w) = -w**2 + 10*w - 13. Let s be l(8). Solve -s*d = c*d + x for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*g + 2*f - 19 = 55 - 48, -33*g - f - 22 = -314 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*j + 55*j + 2895 = -130*j for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = m + 2. Let z = -6 - 14. Let k be z\/70 - (-38)\/(-14). Let d be u(k). Let h(j) = j**2 + j + 1. Determine h(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 6 - 15\/5 - 3. What are the prime factors of (-8 - -88) + 0 + q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 192 and 1344?\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1142*z - 84851 = 931*z + 1004*z for z.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 7854 and 147.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 13340 (base 5) to base 9.\nAnswer: 1446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 70562.9 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express (6*l - 3*l**4 - 6*l)*(-4 + 4 - 2) + 5*l**4 + 7*l**4 - 6*l**4 in the form a*l**3 + q*l + r*l**2 + b*l**4 + k and give b.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28 = -5*m + 2*z, 0 = 3*m + 27*z - 32*z - 13. Solve -m*t - 7 = k - 3*t, 2*k = 5*t + 30 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -482766.834 to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-326)\/(-5) - (-4 + (-126)\/(-30)). Calculate the highest common factor of 52 and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -17 + (21 - 63) - 72?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 2 + -2 + 1 - 4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*i + 54 + 6. Let z = 28 - 73. Let u = i - z. List the prime factors of u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*s - 2*s + 3*n - 27 = 0, -3*s = -3*n - 21. Let a(u) = -u**3 - 4*u**2 - 2*u - 5. Let q be a(-4). Solve s*d = q*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3 + -3. Let z = i + 1. Let w = 0.3 - 0.5. Which is the closest to -3\/5?  (a) w  (b) 0.3  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = 10*s**2 - 3. Is n(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 10540022 and 832107.\nAnswer: 31620066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d + 13 = 4*z, -18 = -3*d + 3*z - 2*z. Suppose d*f + 1 = 31. Solve 0 = -2*l + f*l - 4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4460817 a multiple of 141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2*p**2*q**3 - 781*p**2 + 768*q**4 wrt q.\nAnswer: 6*p**2*q**2 + 3072*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 22730.8 + -22731. Which is the closest to -1?  (a) t  (b) -0.4  (c) 144  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -p - 2*i + 25, 3*p + 0*p - 54 = i. Suppose -3*b = 5*k - 2, -3*k + 6 = -6*b + 3*b. What is the smallest common multiple of k*(-2 - 0)*(-9)\/18 and p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 1 and 40070577 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -32*g**2*n**4 - 2*g**2*n**3 + g**2 + 3*g*n + 4*g wrt n?\nAnswer: -384*g**2*n**2 - 12*g**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 6955187537 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 386 minutes before 12:16 PM?\nAnswer: 5:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2*9*2\/3. Suppose 93*t - 44*t + 81 = 228. Solve 4*y - x = -t*n, -5*y = 6*n - n - 15 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -4*p**2. Let c(w) be the first derivative of 19*w**6\/360 + 2*w**3\/3 - 23*w + 63. Let y(k) be the third derivative of c(k). Determine y(d(u)).\nAnswer: 304*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: Let c = -130.41696 + 0.05696. Let x = 1592 + -1461. Let h = x + c. Round h to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 30 + 4. Suppose -3*m + 14*t + 81 = 17*t, -m + 21 = 4*t. Let u = r - m. Solve u*y = 3*y + 8 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5036, -20277, -45684, -81251, -126972, -182841, -248852, -324999?\nAnswer: -411276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 315682346?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -c**2 + 15*c + 12. Let a be f(15). Find the third derivative of -111*t + a*t**3 + 111*t + 19*t**2 wrt t.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z = -3*z. Suppose 15*a - 48 = 7*a. Suppose z = -5*u + b - 35, 3*u - b = -a - 17. Let c(n) = n + 7. Give c(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -21.78693 to one decimal place.\nAnswer: -21.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -360.7 - -343. Let i = -1.7 - s. Let u = 16.000151 - i. Round u to five dps.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -7890*k**5 + 198*k**2 - 5*k.\nAnswer: -473400*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1459137721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*k = -4*k. Suppose -o - 2*o + 12 = k. Let v(l) = 6*l + 2. Let a(c) = c. Let u be (1 + -1 - (-2)\/(-8))*4. Calculate o*a(h) + u*v(h).\nAnswer: -2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2 + -1. Solve -5 = -3*d + q for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -n**3 - 15*n**2 + 8*n - 38. Let g be x(-16). Let j(v) = v + 5. Let k be j(5). Calculate the greatest common factor of k and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -9587, -18676, -27769, -36866, -45967?\n\"Answer: -2*a**2 - 9083*a - 502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 7604706?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p\/((p\/(p*p\/p**4))\/p))\/(p*p\/((p*p**(-4\/3))\/p*p)))**(-44)*((p\/(p\/p**(-2\/3)))**(-34))**(33\/2) assuming p is positive.\nAnswer: p**(1562\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -2*v**3 - 10*v**2 - 4*v + 2. Let x(u) = -9*u**3 - 51*u**2 - 20*u + 11. Let r(q) = -11*k(q) + 2*x(q). Let r(f) = 0. What is f?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-1911)\/130)\/(-21)*4\/7\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*-1*sqrt(78) + (sqrt(78) + 5*(sqrt(78) - (sqrt(78) - -1*sqrt(78))) - sqrt(78)))\/(sqrt(36)\/(-3*(sqrt(6) + sqrt(30)\/sqrt(5)))).\nAnswer: 66*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 14*f + 16. Let o(h) be the third derivative of -5*h**4\/24 - h**3 - 6*h**2 - 4. Let x(y) = -6*k(y) - 17*o(y). Calculate x(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5877.556 millennia to years.\nAnswer: 5877556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -t - 15. Let o be f(-20). Suppose o*u + 68 = 8. Let b be 0 - ((-64)\/(-6) + (-2)\/(-6)). Which is smaller: b or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 244450 - 0?\nAnswer: 244450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*j**3 + j**3 + 13*j**2 - 7*j**2 - 2*j**4 to f*j**2 + x*j**3 + h*j + s + z*j**4 and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4.96 + -144.04. Let h = 149.00163 + z. Round h to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1466 + 1466. Solve 61*b - 48*b - 65 = o for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 4241 - 3925. Calculate the highest common divisor of z and 188.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 + 5*t - 3*t - 8)*(4 + t - 4).\nAnswer: 2*t**2 - 3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 7806396*s**3 + 18258126*s wrt s.\nAnswer: 46838376*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.3054 + 0.0054. What is the smallest value in -2\/19, d, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-391)\/(-3) - (-12)\/(-9). Let h = 89 - v. Let d = -40 - h. Solve -2*x = 4 - d for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 110*i - s - 30 = 109*i, 3*i = s + 94. What is the highest common factor of 62 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 371688, 371971, 372252, 372531?\nAnswer: 372808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v\/(v*v**(-2\/89)))\/(v*v**3))\/((v*v**(-2\/7))\/(v\/(v**(-32\/5)*v))) assuming v is positive.\nAnswer: v**(5321\/3115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.1  (b) -2\/3  (c) -51  (d) 65  (e) 38\/35\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2233 or 42447\/19?\nAnswer: 2233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 451982?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -3, 6\/109, 0, 2\/5, -1\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (2106\/(-135))\/((-2)\/235).\nAnswer: 3, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 754*c - 1658 wrt c?\nAnswer: 754","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -8150 and -0.0219?\nAnswer: 178.485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 1125 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 122.4725514 rounded to 2 decimal places?\nAnswer: 122.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -37\/44 or -1\/3?\nAnswer: -37\/44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -370 + 513. What is the least common multiple of 104 and g?\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8816053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -207*y**4 + 405*y - 10. Let j(b) = -103*b**4 + 202*b - 6. Let n(g) = 5*j(g) - 3*l(g). What is the second derivative of n(m) wrt m?\nAnswer: 1272*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6738 bigger than 6737?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 (base 12) in base 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 183 divided by -4467\nAnswer: -61\/1489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 41*u**2 - 19*u + 19. What is x(1)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.06818*2.\nAnswer: -0.13636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 0.5 times 0.5\nAnswer: 0.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 311461 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1447\/6441 + -3335655463\/128820. Let o = w - -25889. Find the common denominator of o and 5\/28.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13213737 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: Factor r**2\/5 + 7*r\/5.\nAnswer: r*(r + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 86612617.\nAnswer: 7, 13, 951787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a + 731 = 2731. Let o(y) = -2*y**3 - 3*y + 40. Let i be o(0). What is the greatest common factor of i and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 33 (base 5) to base 13.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4)\/(-13))\/((-292)\/(-15184))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*11224915.\nAnswer: -22449830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = q**3 - 29*q**2 - 60*q - 60. Let b be z(31). What is the third derivative of 176*c**2 - c - 212*c**b + 8*c**3 - 74*c**3 wrt c?\nAnswer: -396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 10*p = 272. Does 7 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 280, 919, 1984, 3481, 5416, 7795?\n\"Answer: b**3 + 207*b**2 + 11*b + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + (-6 - (-4 + (-4 - (6 - 7)))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = 0 + 0*m**2 + 6*m - 2*m**2 - 1 + 3*m**2. Let y be o(-5). Calculate the remainder when (-2)\/3 - 172\/y is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i and 1 n when two letters picked without replacement from {k: 1, i: 2, n: 1, o: 4, y: 3}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 74\/57 and -67\/7786479.\nAnswer: 147943101","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -6672, -13431, -20196, -26967, -33744?\n\"Answer: -3*c**2 - 6750*c + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**3)**(-26) assuming p is positive.\nAnswer: p**(-78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1.4257111794 + 324.5742880806. Let k = z - 326. What is k rounded to seven decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -465 = -8*h - 17. Calculate the lowest common multiple of h and 2.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 24 (base 6) to base 5\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 140614?\nAnswer: 2, 167, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1896 + 2367.\nAnswer: 471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a**2\/5 + 158976*a\/5 + 67765376\/5 = 0. What is a?\nAnswer: -424, 79912","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1.2?  (a) -3  (b) 374  (c) 6\/23  (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -168628000 rounded to the nearest 1000000?\nAnswer: -169000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c\/((c\/c**(-3))\/c))**(-2\/25)*(c**(2\/7))**(-7))**(5\/14) assuming c is positive.\nAnswer: c**(-23\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 23\/20977 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 3\/((9\/(-15))\/((-4)\/10))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s and 3 r when four letters picked without replacement from srddrdrrdr.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 31 - 15. Suppose -12 + 4 = -4*m. Let p = y + m. What is the remainder when p is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4835582 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1004 - -15.\nAnswer: -989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is fifteen quarters of a week in hours?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4 in 2020, 2.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -41, -47, -67, -107, -173, -271?\n\"Answer: -n**3 - n**2 + 4*n - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = 20*b - 175. Let n(p) = -81*p + 700. Let j(s) = -2*n(s) - 9*z(s). Let m be j(17). Which is greater: 1 or m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 14*m**2 + 118*m - 132.\nAnswer: 2*(m - 1)*(7*m + 66)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -110 (base 2) in base 15?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 423*n*x**5 - 5*n*x**3 + 282*n*x + 3*x**5 + 71*x**2 wrt x.\nAnswer: 25380*n*x**2 - 30*n + 180*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -21301 (base 6) in base 11?\nAnswer: -2212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f = 3*i + 1, -f + 4*f - 4*i = 2. Is f < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -98*d**2 + 50*d**2 + 53*d**2.\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 90.8354 rounded to one dp?\nAnswer: 90.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 513793 is divided by 102570.\nAnswer: 943","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j = 2*j + 3*q - 11, j = -3*q + 17. Suppose j*p + 282 = 3*o + o, 2*o - 144 = 2*p. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -6 and 0.35.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide 34 by -649.\nAnswer: -34\/649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 176334.516 rounded to the nearest ten thousand?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Product of 199.63 and 0.03046.\nAnswer: 6.0807298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-29))**(-6) assuming t is positive.\nAnswer: t**174","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 27 - 24. Let s = -73 + 69. What is the fourth smallest value in s, -0.3, 5, y?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 33 + -29. Let a be 5\/(0 + (r - 3)). Suppose -5*f - 2*n + 4 = -3, 3*n = -a*f + 3. Calculate the lowest common multiple of f and 11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) be the first derivative of -q**3 - 3 + 0*q - 2\/5*q**5 + 0*q**2 + 0*q**4. What is the third derivative of c(r) wrt r?\nAnswer: -48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-21)\/30*(-17)\/((-1666)\/168) - (-378)\/15.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Let n = -131 - -135. Sort -9\/4, -1\/4, n.\nAnswer: -9\/4, -1\/4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0058991762 rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from osomobn. Give prob of picking 1 m and 1 o.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 20038841 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {p: 1, x: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = q - 1. Let f(x) = -4*x + 6. Let o = -22 + 32. Calculate o*y(a) + 2*f(a).\nAnswer: 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 170.7731 years in centuries?\nAnswer: 1.707731","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/108955837 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find u such that 3*u**2\/7 + 24914*u + 4822715\/7 = 0.\nAnswer: -58105, -83\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 192.3 + -29.3. Let m = u + -177.2. What is m rounded to the nearest integer?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3\/4 in -0.01, -7, -2\/5, -0.3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -w**2 - 70*w + 814. Give a(10).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 39336 and 1144.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express -45 + 45 - 69*t**2 in the form q*t + d*t**2 + x and give d.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 4*v - 5*v = -21, -3*v + 15 = 0. Let t = 12 + i. Sort -5, -4, t in descending order.\nAnswer: t, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4234906, -4234904, -4234900, -4234894, -4234886?\nAnswer: -4234876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4455 - 3051. What is the common denominator of i\/(-357) + 15\/((-90)\/(-24)) and -99\/68?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 425642.8717 rounded to the nearest one thousand?\nAnswer: 426000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1375 - 1379. Sort -5, h, -0.025, -2\/7 in decreasing order.\nAnswer: -0.025, -2\/7, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11022.\nAnswer: 2, 3, 11, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 256 and 1264?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = -2*o + 2*j, 3*j = -5*o + 5*j + 33. Suppose -4*g = -6*g + 4. Sort g, 3, o in increasing order.\nAnswer: g, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 22246600 (base 7) to base 5.\nAnswer: 443143304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (6\/5 - 1)*130\/377. Are n and 0.04 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27*y + 10 = 32*y. Let a(n) = n**3 + 6*n**2 + 4*n + 5. Let b be a(-4). Differentiate 14 - 4*u + y*u - b - 5*u wrt u.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -12*v + 42*v - 7*v - 25*v + 4*v**3 + 285*v**2 to the form n + l*v**2 + u*v**3 + i*v and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0, 9\/73, -2\/3?\nAnswer: 9\/73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 9325500 and 4000?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*n = -5*j + 15, 8 = 3*n - j + 7 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 57 is divided by 42?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 220*y + 254 + 237 = -389 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -24 (base 10) in base 14?\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -2*y**2 - 68*y - 50. Give l(-29).\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = x**3 + 1 + 4 + 5*x**2 - 5. Suppose 0 = -b + 4*b - 9, -b = 4*l + 17. Let d be u(l). Solve d*c = -c - 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2\/13  (b) -0.1  (c) -2\/9  (d) -0.3468\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1\/20 + (-2)\/8. Suppose 4*c + 0*c = -8. Let t be ((-1)\/6)\/(3\/6). What is the closest to c in j, -7, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (10\/(-120))\/(1\/9*2)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 0, -5, 485, -0.1, 1\/5, 0.4 in increasing order.\nAnswer: -5, -0.1, 0, 1\/5, 0.4, 3, 485","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*h**4 - 13290*h**3 + 26592*h**2.\nAnswer: -3*h**2*(h - 2)*(h + 4432)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) be the third derivative of -j**5\/60 + 5*j**3\/6 - 2*j**2. Let n(x) be the first derivative of l(x). Let u(f) = -3*f. Calculate u(n(o)).\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-38)\/20)\/((-467)\/(-4670)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 57 a factor of 445162446?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 2*s - 7. Let u = -59 + 54. Determine c(u).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 24, -9, -10 in descending order.\nAnswer: 24, -5, -9, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -611 + 4288\/7. Let y(x) = x**3 - 17*x**2 + 32*x - 20. Let b be y(15). Find the common denominator of k and b\/(-8)*318\/30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:54 PM and 9:05 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 8358770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(1872) + (sqrt(1872) + -1)**2 + 3.\nAnswer: -12*sqrt(13) + 1876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 3125727 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from droddddddrrdoordodd. Give prob of picking 3 o.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -6361.2 + 6361. Sort -41, n, 2, -5, -1\/2 in ascending order.\nAnswer: -41, -5, -1\/2, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -4 + 11. Suppose -l*g - 3*j + 135 = -4*g, -2 = -j. Let i = -10 + g. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) be the second derivative of 44*i + 0 + 0*i**3 - 31\/12*i**4 + 0*i**2. Let r(y) = -y**2. What is s(r(v))?\nAnswer: -31*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.4, 3, 462 in ascending order.\nAnswer: -0.4, 3, 462","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 5724 and 1288377?\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1153.9999391 + -1154. What is g rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.5  (b) -0.2  (c) -17  (d) -3  (e) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**5\/(b\/b**(2\/13)) assuming b is positive.\nAnswer: b**(54\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.3, 0.08, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 15470100 rounded to the nearest one hundred thousand?\nAnswer: 15500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -34665820 divided by -3466582?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1146 and 24448.\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*q - 3 = 4*c, 2 = 2*q - 0*q + 5*c for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-6)\/(-3)*69\/6. Suppose 0 = -5*m + k + b, 9*m - 2*k - 21 = 4*m. Solve s - 3*s + p = -9, 4*p - 3 = -m*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 24\/210*-3*(-10)\/(-12).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-13)\/390*-4*-10*(-552)\/16\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2 - 8. Find the common denominator of (1 + (-6)\/12)\/(8\/50) and (-4)\/d*(-104)\/(-12).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 26, -0.1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(0 + sqrt(720)).\nAnswer: 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -599 - -6894. Is y a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 times -213149\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) be the second derivative of x**5\/20 + 2*x**4\/3 + 3*x**3 - 1666*x**2 + 2*x + 315. Differentiate f(s) with respect to s.\nAnswer: 3*s**2 + 16*s + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 2245766 = 2245766?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -2521026 - -34.0099?\nAnswer: -2520991.9901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 divided by -122?\nAnswer: -5\/122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in -5\/2, -3\/2, -15?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -h*p**3*w - 66*h*p**2*w**2 + 2*h*p**2 + 3*h*w**2 + 2*p**3*w**2 + 3*p**3*w + 381*w wrt w?\nAnswer: -132*h*p**2 + 6*h + 4*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k*k**(-3)*k*k*k\/(k\/((((k**0\/k)\/k)\/k)\/k))*k**(-2)\/(k*k\/(((k\/(k**(7\/3)\/k))\/k)\/k)*k))**(-4\/3) assuming k is positive.\nAnswer: k**(136\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 3611*s - 3. Let l(t) = 34*t. Determine l(b(x)).\nAnswer: 122774*x - 102","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 61440 (base 7) to base 10\nAnswer: 14973","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 6536*l - 13084. Determine a(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r**4\/9 - 124*r**3\/9 - 987*r**2 - 14418*r = 0. Calculate r.\nAnswer: -27, 0, 178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 30 + (8 - (-9 - -16)) + -14?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 669 is divided by 61.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4 in -1, -0.26, 5, -3\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 53\/22 and -4 - (4 - (-271)\/(-38)).\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -13*p - 5 - 34 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9527149 is divided by 1461?\nAnswer: 1429","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -32, -142, -434, -998, -1924, -3302, -5222?\n\"Answer: -15*n**3 - n**2 - 2*n - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 33, 3, 5, 2 in ascending order.\nAnswer: 2, 3, 5, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert -539 (base 13) to base 14.\nAnswer: -47b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (8\/6)\/(10\/243). Let a be (-9 + 10)\/(-3 + 2) - -34. Which is greater: w or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -7458, -7457, -7456, -7455, -7454?\n\"Answer: o - 7459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 127 = 119. Suppose 2*t = 2*l + 10086, q*l - 3*l = -4*t + 20178. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 2, v: 1, x: 1, n: 1}. What is prob of sequence oox?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 132*a + 4200 = 48*a. Which is greater: -244\/5 or a?\nAnswer: -244\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 5699 + -2556. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 163623353 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*x + 43*x = 606 + 843. Calculate the greatest common factor of x and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.721 and 16.\nAnswer: 11.536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 15\/(1*(-1)\/1*(-15)\/(-15)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:46 AM and 12:46 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 46 - 14 - (2 + 39)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1.75413 * 0.37.\nAnswer: -0.6490281","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 292 divide 27126005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 x and 1 j when four letters picked without replacement from jjqqxxxxjjjjq?\nAnswer: 24\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence okkk when four letters picked without replacement from potktkpkpotootoptoo.\nAnswer: 7\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -13746, -27493, -41240, -54987, -68734?\n\"Answer: -13747*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + 2*c = 30. Is 1612\/10 + 1\/c*-2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 72325264 divided by 106832.\nAnswer: 677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 6054 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 16f + 4?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.004228 to 4 dps.\nAnswer: 0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 3*v - 742. Let t(n) = 12*n - 2971. Determine 11*a(m) - 3*t(m).\nAnswer: -3*m + 751","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 193?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*r**2\/6 + 103*r - 124\/3.\nAnswer: (r + 124)*(5*r - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 116\/(-87) - (-38)\/24. Let o = -80\/11 + 1338\/187. Let u be ((-3)\/1)\/(-9) + 0. Which is the nearest to u?  (a) z  (b) -1\/9  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -972, -3, -15, -6, 5, -5 in decreasing order.\nAnswer: 5, -3, -5, -6, -15, -972","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 9682167058651 from -2.\nAnswer: -9682167058653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-4)\/14 + (-486)\/63. Let i(u) = -u**2 + 9*u - 3. Let t be i(m). Let z = -47 - t. What are the prime factors of z?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 10515 and 45855.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {y: 4, q: 5, v: 6}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t - 16 = -4*g, -4*g = -3*t + 7 - 24. Let j(i) = 3 + 31*i**3 - 1 + 1 + 6*i**2 - 4*i - 32*i**3. What is j(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -120, -456, -1022, -1818, -2844?\nAnswer: -4100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find j, given that -4*j**2 + 1452*j - 55040 = 0.\nAnswer: 43, 320","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Determine v so that v**5\/8 - 59*v**4\/8 + 1255*v**3\/8 - 11297*v**2\/8 + 9325*v\/2 - 3400 = 0.\nAnswer: 1, 5, 16, 17, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 192 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 3*v**2 + 9*v + 3. Let f be q(-6). Let x = f + -39. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 582851 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((8534\/136 - 62)*4\/6)\/((-19)\/(-1)).\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*x - 0*x - 224. Suppose -x*o = -34*o + 1060. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 29 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (3 - 5)\/((-3)\/21). What is the highest common divisor of r and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 17\/((-34)\/(-4)) + -8 - (1 - 6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 2*a + a - 200 = 0, -2*p + 103 = -5*a. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -313 + 332. Suppose 7 - 64 = -3*g. What is the greatest common factor of g and u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 27\/4 of a millennium?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (k**4 + 3*k - 3*k)*(4*k + 2 - 6*k - 14*k).\nAnswer: -16*k**5 + 2*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/80)\/(386\/177560).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) be the first derivative of z**3\/3 - 9*z**2\/2 + 4*z + 1. Let j be c(9). Let n(k) = j*k**2 + k + k + 2*k**3 - 6*k - 3*k**3. What is n(3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 3, t: 5}. What is prob of sequence mtt?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 2, -40.\nAnswer: -40, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**1*q*q**(-5))**(-4) assuming q is positive.\nAnswer: q**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 7*u + 7. Suppose 144*o = -442832 + 443408. Let r be ((-5)\/2)\/((-1)\/(-2)). Let b(g) = 6*g + 6. What is o*l(d) + r*b(d)?\nAnswer: -2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = n - 3. Let m(c) = -2*c + 45. Let r(t) = m(t) - 2*y(t). Let q be r(11). Calculate the greatest common divisor of 56 and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/5?  (a) -0.1005  (b) 1\/5  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 856825403 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -23*f. Let o be u(-1). Let l = 6 - 10. Let x = l + o. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1378 + 1378.611. What is o rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 8*l**3 + 4*l**2 - 2*l + 7. Let m(w) = -7*w**3 - 5*w**2 + w - 6. Let o(a) = 6*m(a) + 5*y(a). What are the prime factors of o(-5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-4)\/10)\/(((-4)\/(-455))\/(-4)). Suppose 235 + a = i. List the prime factors of i.\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11 = 2*c - 153266*d + 153263*d, 0 = -5*c - d - 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 3*d + 4)*(0*d - 4*d + 2*d) + (1 + 3 - 3)*(1 - d**2 - 1).\nAnswer: -7*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 60451493 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 2846405053 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 - 34*a - 1 + 22*a + 98*a**2 + 7*a + 6*a to the form v*a + u + m*a**2 and give m.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 5889 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 23 - 19. Suppose 2*k = -c + 3*c - i, 2*c - 10 = -k. Let y(p) = -p**k - 2 + 4 - 2. Let a(u) = 4*u**2. Calculate y(a(x)).\nAnswer: -16*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (747 - 59*q - 747)*(2*q**4 + 0*q**4 - q**4)*(-4 + 0 + 2).\nAnswer: 118*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1875 is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1*(-1)\/(-4))\/((-1700)\/(-800))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t and 2 a when three letters picked without replacement from tticttaitttat.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 445357?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.484 times -59873?\nAnswer: -148724.532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1120 and 1008.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 17357573 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2 - 2. Let y(c) = 9*c + 3. Let n be y(0). Suppose n*k = -t*k + k. Let s(j) = j**3 + j**2 + j - 8. Determine s(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*b + 7*b + 12. Solve 0 = -s + b*k - 13, -2 + 12 = 5*k for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:32 AM and 9:56 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((0 - -2)*-3)\/(-2). Suppose 4*u + 5*k = 12 + 10, f*k - 9 = -u. Let y = -236 + 235. Is u greater than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 25.56 + -25.86. Sort g, 2\/7, -0.369, -4 in decreasing order.\nAnswer: 2\/7, g, -0.369, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 62943 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -611 + 1262 + 854 = 100*z - 195 for z.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2*15\/198)\/(1050\/(-420)).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -193832*g*n**2 + g*n + 11030*g - 2*n**2 - 58 wrt n?\nAnswer: -387664*g*n + g - 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vrppopvovoopqpo. What is prob of sequence opp?\nAnswer: 10\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) be the third derivative of -r**6\/120 + 7*r**5\/60 - r**4\/6 - 7*r**3\/6 - 40*r**2. Let m be k(6). Solve 3 = u - d, m*u + 4*d = -13 + 46 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -a**3 - 10*a**2 - 11*a - 4. Let g be o(-9). Suppose 2*u - 4*q = -g - 0, -u + 3*q - 12 = 0. Let s = 31 - 32. Sort -2, 7, s, u in decreasing order.\nAnswer: 7, u, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (15\/(-30))\/(-1 + (-27)\/(-30)). Solve -12*i = -15*i + 2*p, 0 = -w*i + p + 7 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0166 rounded to 3 decimal places?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t = 2*s + 11, 8*s - 4*t = 13*s + 2. Let a be s\/(-6) - 28\/(-12). Put 3, -4, -1, a in increasing order.\nAnswer: -4, -1, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) be the first derivative of 11*c**3\/3 + 5*c**2\/2 - 5*c + 1. Let k(h) be the first derivative of 2*h**3 + 3*h**2\/2 - 3*h - 69. Give 5*k(p) - 3*w(p).\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -129, -370, -1029, -2316, -4441, -7614?\n\"Answer: -35*x**3 + x**2 + x - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36*c + 124 = -10 - 298 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 609 minutes before 1:34 AM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -30521550 rounded to the nearest one hundred thousand?\nAnswer: -30500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -5\/4  (b) 0.06  (c) -8\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 45773172?\nAnswer: 2, 3, 83, 15319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 5808012 (base 10) to base 11\nAnswer: 3307711","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:16 AM and 3:55 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/(-1))\/(24\/24).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-2 + 2178\/12)*2\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -2*c**3 - 4*c. Let w(p) be the second derivative of -p**4\/12 - p**3\/6 - 36*p. Give q(f) - 4*w(f).\nAnswer: -2*f**3 + 4*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor c**3 - 724*c**2 - 162557*c + 830760.\nAnswer: (c - 903)*(c - 5)*(c + 184)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: ((-3)\/(-20))\/(27840\/7424)\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (66\/(-88))\/(9\/6). What is the closest to z in -1, -0.4, -0.03?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -242 + 301. Suppose 168 = 63*m - v*m. What are the prime factors of m?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = p. Let u be f(4). Suppose u = z + z + 4*r, -3*z + 6 = r. Let j(v) = 2*v**z - 3*v**2 + 2*v**2. Let t(l) = -2*l**2. Give j(t(g)).\nAnswer: 4*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 46 divide 2340?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1.1 + 0.1. Let p = 616 - 199. Let x = 414 - p. Which is the nearest to 1\/2?  (a) -0.5  (b) x  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3751, 521, 3 in decreasing order.\nAnswer: 3751, 521, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1147563.\nAnswer: 3, 127507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 318523 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -3, -0.05, 2\/7, -2\/17?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (-10 - (-2 + 23 + -20 - 6)) + 87\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*y - 6 = 6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s and 1 z when two letters picked without replacement from {w: 1, d: 8, s: 1, z: 7}.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 60 minutes after 4:17 AM?\nAnswer: 5:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 69 + -66. Suppose -4*u - 6*i + 10 = -8*i, -p*u = 3*i - 3. Solve 0 = -3*q + 2*a - 4, u*a - 1 = -9 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1625075 or -1625073?\nAnswer: -1625073","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 19904161, 39808262, 59712363?\nAnswer: 79616464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -38\/9 and 19\/13.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -84960*o**3*t + 21*o**3 - 113488*o*t + 647*o + 2*t wrt o.\nAnswer: -509760*o*t + 126*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -4495, -8998, -13501?\n\"Answer: -4503*y + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3 + 8. Let p = 5 - 1. Suppose 3*a - 8 = 2*l, 3*l - 5*l + 2*a = p. Calculate the remainder when i is divided by l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -284360, 62, -6, 0, 2 in decreasing order.\nAnswer: 62, 2, 0, -6, -284360","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 874710?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 29123 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 169 or 160?\nAnswer: 160","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 568 minutes after 5:44 AM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-75)\/(-27) - 3 - 8\/(-36).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4 in 2, -1, -0.2, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*s + s + 298. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -279.91293 to the nearest ten.\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 405*y**3 - 41*y**2 + 121081*y?\nAnswer: 2430*y - 82","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 17, -10, -3, 0.3, -4, 2?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -63181*r + 1142*r + 0 - 84232*r + 0.\nAnswer: -146271*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*x - 2*x + 2 - 1.\nAnswer: -4*x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*d**3 - 4070118*d**2 = 0. Calculate d.\nAnswer: -1356706, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 1460 divide 9486910?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 320420.\nAnswer: 2, 5, 37, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1215 - 1212. Solve 3*s - 2*j + j + 18 = 0, -y*j + 4 = s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*t**3\/21 + 88*t**2\/21 + 376*t\/21 + 128\/7.\nAnswer: -2*(t - 48)*(t + 2)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-29)\/(-3) - 2\/(-6). Suppose m + 10 = 6*m. Let t be m\/4*-2 + 7. Solve -g = 4*q + t for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 2, f: 1, c: 1, h: 1, p: 1, y: 1}. What is prob of sequence pyb?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -4 and -10.156361.\nAnswer: 40.625444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = 28*m + 58. What is v(-4)?\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.17, 0.04, 18, -3 in descending order.\nAnswer: 18, 0.17, 0.04, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 360843 is divided by 1850?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cgw when three letters picked without replacement from {g: 4, c: 6, w: 1}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 231636.\nAnswer: 2, 3, 97, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 65*-5.\nAnswer: -325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) be the first derivative of n**3\/3 - 259*n**2\/2 - 5075*n + 2620. Differentiate j(w) with respect to w.\nAnswer: 2*w - 259","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-20)\/(-8)*12\/(-15)*-1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - 5*h = -8. Suppose 4*t + 32 = -h*g, 4*g - t = t - 2. Let m be -1 + g\/6*-6. Solve -6 = -0*s + m*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -132, 11, 13, 1 in ascending order.\nAnswer: -132, 1, 11, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 5.7 - 6. Which is smaller: -2 or w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 244752 and 18657241?\nAnswer: 5099","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*m = 2*m + 4*v + 8, 0 = 3*v + 3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 466\/(-94) - (-6)\/((-150)\/(-125)) - (-61600)\/21385.\nAnswer: 38\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 18887 + -18883. What is the least common multiple of i and 27848?\nAnswer: 27848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -54*h + 162 + 294 = 24 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4361 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*r - 52 = -8*r. Suppose -5*z + 5*t + 0*t = 25, 2*z + t = -13. Let q be (z\/8)\/((-5)\/(-20)). Sort 2, q, r in decreasing order.\nAnswer: r, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 457*x + 1846 - 2473 - 8098 = 3157 for x.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -707 + -65?\nAnswer: -772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -380, -132, 1 in ascending order.\nAnswer: -380, -132, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -311*a**3*m**2 + 2*a**3 + 2*a**2*m - 2*a*m**2 + 296*a + 2*m**2 wrt a?\nAnswer: -1866*m**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -5*f**3 - 3*f**2 - 3*f - 2. Let n be t(-2). Factor 2*s**4 - 20*s**3 - 17*s**3 + n - 16*s**2 + 37*s**3.\nAnswer: 2*(s - 2)**2*(s + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 1, -32, 6, 15, 0 in descending order.\nAnswer: 15, 6, 2, 1, 0, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s, 2 n, and 1 m when four letters picked without replacement from nnswm?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) be the second derivative of 0*n**2 + 0*n**5 + 0*n**3 + 0*n**6 + 0 + 2*n + 1\/6*n**4 + 1\/42*n**7. What is the third derivative of o(k) wrt k?\nAnswer: 60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 2488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 363*a**5 - 3589311*a**4 - 144481152*a**3 - 10257324*a**2 + 115438464*a + 42888960 = 0. Calculate a.\nAnswer: -40, -6\/11, 1, 9928","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -71854*p = -71925*p + 1420 for p.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 82 and 2251597.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 836229 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 452, 3, 26, -6 in increasing order.\nAnswer: -6, 3, 26, 452","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.8 + 1. Let w = 0.2 - u. Let l = w - -0.0000019. Round l to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) be the first derivative of -58*f**3\/3 - 7*f**2\/2 - 15*f - 132. Find the second derivative of g(t) wrt t.\nAnswer: -116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 101000001 (base 2) to base 9\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -35?  (a) -0.1  (b) 3  (c) 0.1  (d) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-200 + 20 + 344)*(0 - 4 + 3)*(-2 + 4 + 0)*(-o + o - o).\nAnswer: 328*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = -3*u + 5*f, 12 = 4*u + 3*f + 3. Is (-7 - -2)*(u - 6) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-28 - (11 + -1)) + 8 + -1\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -k. Let z(v) = -v - 8. Let w be z(-9). Suppose w + 37 = 2*o. Let m(b) = 42 + o*b - 79 + 37. Determine j(m(q)).\nAnswer: -19*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2767536 rounded to three dps?\nAnswer: 0.277","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2 + -27. Let o = 25.00000085 + q. Let z = 0 + o. What is z rounded to seven dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 59\/3144 and -57\/10.\nAnswer: 15720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 422321 (base 6) in base 12?\nAnswer: 179a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = w**3 + 0 + 3*w - 1 - 4*w**2 + 6 - 2. Let a = -2303 + 2300. Let m(c) = c**3 - 7*c**2 + 5*c + 5. Determine a*m(y) + 5*g(y).\nAnswer: 2*y**3 + y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = 4*q + 1. Let c(v) = -v + 106 + 7*v - 105. Determine -5*c(z) + 7*s(z).\nAnswer: -2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = 0*t**2 + 2*t**2 - 116 - 115 + 220. Let j(r) = 7*r - 5. Let m(w) = -4*w + 3. Let s(z) = 3*j(z) + 5*m(z). Give b(s(v)).\nAnswer: 2*v**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 108 divide 26258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = 2*o**3 - 28*o**2 + 18*o + 6. Let l be c(14). Calculate the greatest common divisor of l and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 106914068 - -0.27.\nAnswer: 106914068.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 54 a factor of 85768?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5912957017?\nAnswer: 11, 17, 229, 138079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4 (base 6) to base 14.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5032 by -37.\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xoxx. What is prob of picking 1 o and 2 x?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, -0.22, -37.\nAnswer: -37, -0.22, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 5, -2, 545, 44, 47, 1 in descending order.\nAnswer: 545, 47, 44, 5, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3688\/78309 or 0?\nAnswer: -3688\/78309","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8050 = -28*j - 36*j + 29*j. What is the nearest to -2\/9 in j, -4\/11, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = l + 2. Let r be f(-5). Suppose 11*d - 31 = 35. What is the lowest common multiple of r*(-4)\/12 + 5 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -3, -6, -2 in decreasing order.\nAnswer: -1, -2, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -219*x - 278*x = 67*x - 6768 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 6\/251?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -550, -513, -474, -433, -390, -345, -298?\nAnswer: -249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 151433587 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -p - 3 + 3 + (-5 + 3 + 3)*(2*p - 2*p + p) + 6*p - 6*p - 9*p + (-4 + 4 - 4)*(1 - 1 + 3*p).\nAnswer: -21*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.0002 - 0.3002. Suppose -2*y - 3 - 19 = -4*u, 0 = -3*y + 3*u - 24. Let v be (0 - y\/(-3))*-3. Do v and k have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 13) to base 15\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:44 PM and 9:08 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 72, -0.08, 0.05, 5?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 87\/(-145)*59\/3 + 12?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -553 = 5*t + 4*d, -3*d - 2*d - 10 = 0. Let m = -76 - t. What is the greatest common factor of 33 and m?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) be the second derivative of -55*p**4\/48 + 1615*p**3\/12 + 525*p**2 - 9946*p. Factor d(g).\nAnswer: -5*(g - 60)*(11*g + 14)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) be the third derivative of -h**8\/3360 - h**7\/2520 + h**5\/120 - h**4\/8 + 21*h**2. Let a(o) be the second derivative of d(o). Give a(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 113, -30, -305 in decreasing order.\nAnswer: 113, -30, -305","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -7*p**2 - p. Let q(a) = -8*a**2. Let z(r) = -6*n(r) + 5*q(r). List the prime factors of z(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 15, g: 3}. What is prob of sequence gig?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-1\/2))**(17\/4)*n**4*n*(n\/((n*n**1)\/n))\/n assuming n is positive.\nAnswer: n**(15\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 749, 756, 763, 770, 777?\n\"Answer: 7*r + 742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-3)\/2*(-4)\/1. Solve h*w = 10*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 2 f when three letters picked without replacement from hhhfhhafahhaaah?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 14 and 3916759?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-165120)\/(-3225) + (-55 - -4)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -91 (base 13) to base 10\nAnswer: -118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -561.172 + 4.972. Let g = -556 - x. Is 44 smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -n + q + 267701, q = 53*n - 51*n - 535410. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = 62*n**2 + 14*n + 48. Let o(q) = 62*q**2 + 16*q + 64. What is 4*c(f) - 3*o(f)?\nAnswer: 62*f**2 + 8*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 14.04 times -895\nAnswer: -12565.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 130*w + 12. Let o(i) = -65*i - 6. Let c(d) = -4*g(d) - 9*o(d). Let b be c(3). Suppose -4*a = 49 - b. Does 19 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1\/22*(-35)\/((-735)\/42)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 3\/7, 2\/9, -3\/5, -0.8?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -112 = -8*n - 15*n - 5*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3\/4?  (a) 1  (b) 0  (c) -0.09  (d) 95\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + (-16)\/(-28) + (358\/(-14) - (71 + -79))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -2 + ((-18)\/(-10))\/1. Let h(p) = 2*p + 15. Let j be h(-6). Suppose -j*s + k = 1, 0*k = s - 4*k + 4. Is w smaller than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -y. Let j(d) = -2*d**2 + 4*d + 7*d**2 - 2*d. Suppose -n + 73 = 67. Let z(h) = n*q(h) - 3*j(h). Let p(x) = -x**2 - x. Give 12*p(w) - z(w).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**(-4)\/(w**(4\/3)*w)*w**(-1)\/w*w**(-2)*(w**(-1)*w*w*w\/(w*(w*w**7)\/w*w))**(-25\/2) assuming w is positive.\nAnswer: w**(463\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 27853 is divided by 13734.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = 9*g**3 + 3*g**2 + 3*g. Let v(z) be the second derivative of -2*z**5\/5 - z**4\/6 - z**3\/3 - 251*z. Give -2*s(t) - 3*v(t).\nAnswer: 6*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18 = 4*d - 6*d + 3*q, 4*q + 16 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -451 - -452. What is the closest to -13\/5 in 0.5, v, -0.2, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 364 + -323.6. Let k = z - 47. Round k to 0 dps.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.3, 3\/5, 3, 0.00177008 in descending order.\nAnswer: 3, 3\/5, 0.00177008, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -7*t + 2. Let f = -3 + 2. Let d be -4 - (20\/(-8))\/((-9)\/(-36)). Let w(q) = -q. Calculate d*w(h) + f*a(h).\nAnswer: h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -150*p + 73*p + 87*p = -3*v + 9, -3*p - 3 = -v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -37813.9999981823 - -37814. Round d to seven dps.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 29 + -22. Let v = 3.5 - -0.5. Let h = v - k. Which is the second smallest value?  (a) 6  (b) h  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8 - 5*(-144)\/75.\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 1 c when two letters picked without replacement from {p: 1, u: 1, c: 3, h: 1, k: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 4.487048cm?\nAnswer: 0.00004487048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 115 a factor of 19332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.061 and 107.\nAnswer: 6.527","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 6.6 - 1.44. Let v = h + -0.16. Let d = -180.7 + 184.7. Which is the second biggest value?  (a) v  (b) d  (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -108 divided by -27?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -4, -1, -4\/5, -7\/10, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -230335, -230214, -230083, -229936, -229767?\nAnswer: -229570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 43\/2 of a century in decades?\nAnswer: 215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24153*v**3 - 24151*v**3 + 48300*v**3.\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4338 is divided by 676?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10032*i = -9977*i - 385 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4541 (base 6) to base 8.\nAnswer: 2055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2095 - 1206 = 150*s - 1961 for s.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-6*(sqrt(13) + sqrt(26)\/sqrt(2)*-6) - (-5 + (sqrt(52)\/sqrt(4) - sqrt(13)) + sqrt(13) + 3))*-1 + 3)**2.\nAnswer: -58*sqrt(13) + 10934","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when -3*((-12848)\/12 + 7) is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 12517025 - -4?\nAnswer: 12517031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 5102 to the power of 1\/2, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = x**3 + 10*x**2 - 13*x + 15. Let j be b(-11). Suppose 2*d + 19 = s - d, -5*d = -2*s + j. Let u = s - -13. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11101010111101 (base 2) in base 11?\nAnswer: 10330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 7.36262 milliseconds?\nAnswer: 0.00736262","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7133 is divided by 58?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express -8*c**2 + 15*c**2 + 5*c**2 in the form w*c + i*c**2 + f and give i.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 29 + -28. Let m = 1.9 + 0.1. What is the second biggest value in m, 1\/2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 62*i**2 + 3206*i - 943. Give o(-52).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 16451?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2 + 1. Let k = s - -33. Suppose 0 = -2*y - 4*d + 34, 37 = 2*y - 0*d + 5*d. Calculate the remainder when k is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**5)**12\/(f\/(f\/(f*f**(-5))*f)*f**(-8)) assuming f is positive.\nAnswer: f**73","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -374 + 1174. Let s = a + -763. Sort s, -2, 3 in increasing order.\nAnswer: -2, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 245 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -830072 - -830099.99992. Let r = t + -28. Round r to five dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l - 19*l + 3760 = 0. Let w = 114 + 483. Let s = w - l. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -11718609589 take away -0.2?\nAnswer: -11718609588.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 440646961.\nAnswer: 440646961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (1*385)\/(9 + (-3 - 5))?\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kklklkklhkkh. Give prob of picking 2 k.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1\/5  (b) 1817  (c) -1  (d) -0.1  (e) -6  (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 m and 1 p when three letters picked without replacement from {b: 4, p: 3, m: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 62856628.\nAnswer: 2, 15714157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.46367 rounded to two decimal places?\nAnswer: 0.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -89\/24 and -79\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 63728.78 microseconds in nanoseconds?\nAnswer: 63728780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 208 smaller than 40027\/192?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -5 - -1. Which is the smallest value?  (a) -2\/3  (b) -1  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 43768284731 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 2 + 1)*(60*o + 14*o + 24*o) - 3 - o + 3 + 8*o + 8*o - 13*o + (-3 + 5 - 1)*(4*o - o - o).\nAnswer: -192*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -7*b**2 + 206334*b - 412664. Calculate o(2).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 5495829 to the power of 1\/5, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: Solve 100612 = 6699*h + 268087 for h.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6703612 is divided by 21147.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*y**(-1\/12))**(8\/7) assuming y is positive.\nAnswer: y**(22\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10711899 is divided by 547?\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -103\/2 - -50. Let w = 6 - 7. Which is smaller: n or w?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -z**3 + 10*z**2 - 9*z - 10. Does 15 divide p(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 3*m. Let p(u) = -8*u - 3*u + 11*u - 14*u**2. Calculate l(p(h)).\nAnswer: -42*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 24555\/4 + -6175. Let m = c + 36. What is the third biggest value in m, 1\/2, 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/11895 or 1?\nAnswer: 1\/11895","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(88)*2*6)\/((sqrt(64)\/sqrt(4) + sqrt(16))\/sqrt(2)) - (-1 + (4 + sqrt(44)\/sqrt(4) - (sqrt(99)*2 + sqrt(99) + sqrt(99) + sqrt(99))\/sqrt(9))))**2.\nAnswer: -60*sqrt(11) + 1109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 3*-820392\nAnswer: -2461176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 6252 + -6257. Let y = 5 - 3. Are p and y unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = 2*v**3 + 31*v**2 + 16*v + 18. Let t be g(-15). Suppose 4*o - 2*b - 8 = 0, 8 = -3*o + 5*o - 3*b. Is o less than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -329070378 by 8771.\nAnswer: -37518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -35*s - 6*s**3 + 50*s**2 + s**3 - 68 - 16 - 14 + 8.\nAnswer: -5*(s - 9)*(s - 2)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 541*j**2*t**2 - 2*j**2*t + j**2 - 807*j*t**2 + j*t - 2*t**2 + 40*t - 25 wrt t?\nAnswer: 1082*j**2 - 1614*j - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1653\/116*((-3)\/12 - (0 + 105\/(-36))).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*g - 5*g + 2*g)*(-1 + 1 + g) + 3*g**2 - 2*g**2 + 2*g**2 - 1 in the form l*g + i + n*g**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) be the third derivative of f**6\/720 - f**5\/120 + f**4\/6 - 3*f**2. Let k(q) be the second derivative of y(q). List the prime factors of k(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 31 = -4*m + 3*u, -71*u = 8*m - 147*u + 692 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 987 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: Is 9222 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 4887080 and 110?\nAnswer: 4887080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -26*s + 147. What is o(6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h - 40 = -5*m, -2*h + 5*m - 9 = 2*m. Suppose -l + h*l - 24 = 0. Suppose 0 = -3*u - u + l. Solve -2*r = u*r + 10 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.5, 2, 3, 2\/17, 4\/7, 4\/3, -4\/49?\nAnswer: -4\/49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -43363 + 43363.1. Let b = -4.93 + -0.07. Sort m, b, 1, -0.1 in ascending order.\nAnswer: b, -0.1, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 549746.\nAnswer: 2, 17, 19, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 9 - -79. Calculate the greatest common factor of l and 968.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) be the second derivative of -c**6\/15 + 2*c**5\/5 - 2*c**4\/3 + 17*c. Suppose a(k) = 0. What is k?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 137.4175 micrograms?\nAnswer: 0.1374175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 34551, 138182, 310893, 552678, 863531, 1243446, 1692417?\nAnswer: 2210438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 8948452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 263*g + 1 = 264*g. Suppose -g = s, 775 = 7*t - 6*t + 3*s. List the prime factors of t.\nAnswer: 2, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 113 not equal to 646612?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -2  (b) 5\/6  (c) -1  (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6195*z = 6207*z - 324 for z.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = -y - 4*y, 0 = 4*k - 3*y - 66. Let u be (-1*32\/6)\/((-8)\/12). Suppose -u*n = -203 - 637. What is the highest common divisor of n and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 77\/26 and 10 - 12\/(1224\/1078).\nAnswer: 1326","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -215, -542, -1091, -1856, -2831, -4010, -5387?\n\"Answer: k**3 - 117*k**2 + 17*k - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3845206627*d + 1 - 1 + 0*d**2 - 3845206627*d + 3*d**2.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 95*c**3\/6 - 8690*c**2\/3 - 17975*c\/2 - 465 = 0 for c.\nAnswer: -3, -1\/19, 186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 923.215 kilograms to milligrams.\nAnswer: 923215000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4 - 0) + (6 - 1) + 131 + -168?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2200*o + 5920 - 31648 = -1016*o for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36*b**3 + 13*b**2 - 13*b\/3 - 4\/3 = 0. What is b?\nAnswer: -4\/9, -1\/4, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qgqn when four letters picked without replacement from {m: 5, d: 4, n: 2, g: 1, q: 2}.\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1484 is divided by 296?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.848 and -19.1.\nAnswer: -19.948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = 1726*g. Let i(u) = -5*u. Determine l(i(t)).\nAnswer: -8630*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1077 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = m**3 + m**2 - m - 1. Let o(c) = 3*c**3. Let l(k) = o(k) - 2*p(k). Suppose 2*v + v = 6. Calculate the remainder when 16 is divided by l(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 914 by -91.\nAnswer: -914\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 48433, 96863, 145295, 193729, 242165, 290603, 339043?\n\"Answer: u**2 + 48427*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -0.3, 5, -11, 0.03 in ascending order.\nAnswer: -11, -3, -0.3, 0.03, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -2071 divided by -6636?\nAnswer: 2071\/6636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = n**3 + n**2 + 1. Let l(u) = 46*u**4 + 3*u**3 - 15*u**2 - 2*u + 3. Let x(w) = -3*j(w) + l(w). What is the third derivative of x(p) wrt p?\nAnswer: 1104*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -221*w - 1105 = -136*w for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -6*(-3)\/126*(-1743)\/18 and -33\/208?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*d + 92 = -53*d - 359 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1 - (-2)\/(2*-1). Let x be (-1)\/(3\/1548) - (-3 - -3). Let z = 519 + x. Solve 0*g + g + z = v for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 199 or -2560?\nAnswer: 199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((p**(4\/7)*p)\/p)\/p)**(-1\/6) assuming p is positive.\nAnswer: p**(1\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Work out -10670455 - 2090.\nAnswer: -10672545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.4154902 rounded to two dps?\nAnswer: 1.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 116450, 232882, 349314, 465746?\n\"Answer: 116432*p + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -3163*b**2 - 1. Let d(r) = 41*r. Give d(t(q)).\nAnswer: -129683*q**2 - 41","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/(-18))\/(((-250)\/(-420))\/(-25))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 849421528 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 - (-12 - (4 - 28) - 5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4 and 244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-2)\/(-12) + (-979)\/528 and 61\/8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22177 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 61781 is divided by 5367.\nAnswer: 2744","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*t - 3*y, -t = -0*t + 3*y. Is 2\/3 > t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 91\/6 - 29\/2. Let q = -0.41 - -0.71. Which is the second smallest value?  (a) -4  (b) q  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -2149104 - 408*g**2 - g + 2149104. Let s(k) = 2*k. Give j(s(a)).\nAnswer: -1632*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 16*z = 14*z - 11, -z + 8 = 3*d. What is the greatest common divisor of d and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -132*i. Let n be p(-1). Suppose 4*o - 1 = 3, o - 37 = -3*s. Calculate the greatest common factor of s and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 4 - 1040?\nAnswer: -1037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-3\/4)\/w*w**3\/w*w)\/(w**(12\/5)*w**(15\/8)) assuming w is positive.\nAnswer: w**(-121\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -315106, -626000, -936894, -1247788, -1558682?\nAnswer: -1869576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 2, p: 1, x: 1, i: 1, c: 1, v: 1}. Give prob of picking 1 p and 1 k.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o - 5 = -3. Let p = -0.15 - 81.85. Let m = p - -81.7. Which is bigger: m or o?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -79334012*f**4 + 18407509*f wrt f.\nAnswer: -952008144*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1320277 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -68\/339207 and 23\/2705?\nAnswer: 1696035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 136961 is divided by 276.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -45, -407, -5, 5 in descending order.\nAnswer: 5, -5, -45, -407","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 9027137?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-41)\/5*5*-1. Suppose -h = -4*l - 1. Is l a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 16181856?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = 8 + 0 + 3*r - 18*r - 7*r**2. Let h(w) = 4*w**2 + 8*w - 4. What is 11*h(o) + 6*z(o)?\nAnswer: 2*o**2 - 2*o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 947113956 to the nearest integer?\nAnswer: 982","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -565 + 1269. Suppose n*u - 702*u = 36. Calculate the remainder when 448 is divided by u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 5) to base 14\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-9 - 1) + 28 + 9 + -39?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*v + 67 - 211. Let g be ((-2)\/3)\/((-2)\/15). Suppose -2*y = l - v, g*l - 12 = 3*l + 4*y. Calculate the remainder when 46 is divided by l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find s such that 3*s**4 - 108*s**3 + 969*s**2 + 108*s - 972 = 0.\nAnswer: -1, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 g, 1 b, and 1 f when four letters picked without replacement from bbdbddfeegbfbgdbf?\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 6064748 (base 9) to base 12\nAnswer: 10ba12b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 2  (b) -1\/4  (c) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5.696188l to millilitres.\nAnswer: 5696.188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 191 is divided by 69?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 20663 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*k + 5 = 8*k. Suppose -4*i = 2*h - 5*h + 13, 0 = -4*i + h - 15. Let a = i + 7. Sort k, 0, a in decreasing order.\nAnswer: k, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -663 divided by -51.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 3 + g + 2.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -42 = 3*h, 0 = -g + 2*h - 110 + 143 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -664 + 649 = -3*a, -2*f + 4*a = 26 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 669 - 669.2215. What is a rounded to two decimal places?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bxsfzix. What is prob of picking 1 x and 1 i?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 159*8.\nAnswer: 1272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -18*h + 58. What is w(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 67632453 a multiple of 2247?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 h, 1 s, and 1 c when four letters picked without replacement from wwwshuchshhchwubwwc?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5\/150*(-500)\/(-50)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Do -83799025 and -251397079\/3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*t**3 - 3*t**3 + 3*t**5 + (-39*t**2 - 7*t**4 + 39*t**2)*(2*t - 2 + 2)*(3 - 5 + 1)*(1 - 9 + 37).\nAnswer: 409*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 40 and 13960?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (24 - 0)\/(3\/2 + 0). Let n(u) = 0 - g + 2*u + 10. Let z(w) be the third derivative of -w**4\/6 + 13*w**3\/6 + w**2. What is -13*n(r) - 6*z(r)?\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) be the third derivative of 19\/20*w**6 + 0*w**4 + 0 - 29\/20*w**5 + 0*w + 0*w**3 + 32*w**2. Find the third derivative of u(j) wrt j.\nAnswer: 684","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 138620?\nAnswer: 2, 5, 29, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4 - -1) + (0 - -3 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {g: 3, e: 2, q: 2, a: 6, r: 6}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-54)\/(-176) - (8730\/36278 + (-2)\/34). Sort 33, 0.4, -4, 2, g in increasing order.\nAnswer: -4, g, 0.4, 2, 33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 2880 + -4?\nAnswer: 287b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-1 + sqrt(2))*-1 + (sqrt(2) - sqrt(32)) + -1)*-4 - (6*(sqrt(14) + (1*sqrt(14) + sqrt(14) - sqrt(14) - sqrt(14))))\/(sqrt(35)\/(sqrt(10)\/sqrt(2))))**2.\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = n**2 - 3*n - 1. Let b be a(-3). Let f = 2 - b. Let j = -10 - f. Solve -2*l + j*l = z, -l = -3*z + 8 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j + 3*p = -9, 6 = -5*j - 3*p - 7. Let s(t) = t + 5. What is s(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 - ((-66)\/24 + -2)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3337 + 3372. Solve 0 = -25*o + 15 + l for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t - 5 = -4*t, 28 = 3*z - 5*t. Let r be z - (0\/(-2) - 1). Let p = 13 + -9. Solve -p*x + 5*m = -17, -r*m = 4*x - x + 16 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 1, j: 1, o: 2, b: 1, l: 1, i: 1}. Give prob of sequence ijo.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z = -12 - 13. Let i(g) = 21*g**3 - 1. Let b be i(1). Solve b = -z*o + 5 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -36.3 + 22.3. Let v = -3\/18248 + 2153327\/383208. Let s = -16\/3 + v. Put s, 5\/4, q in decreasing order.\nAnswer: 5\/4, s, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 287774842?\nAnswer: 2, 53, 197, 13781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18264284.\nAnswer: 2, 4566071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) be the second derivative of -2*y - 7*y**2 + 11\/6*y**3 + 0 - 1\/12*y**4. Let g be n(10). Which is the second smallest value?  (a) 0  (b) g  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*n - 3*f + 6 = 0, 6*n = 9*n - 3*f + 3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1601.1 - 1432.1. Sort 2\/15, n, 0, 1 in decreasing order.\nAnswer: n, 1, 2\/15, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -24.11851, -4\/5, 57\/7 in descending order.\nAnswer: 57\/7, -4\/5, -24.11851","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*f**(-2\/11)*f*f*f)**(-18)*((f*f**(-10\/11))\/f)\/f**(-5\/2) assuming f is positive.\nAnswer: f**(-1477\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -15*w. Let y be (-2 + 6 + 2)*9\/18. Let n(z) = y*z - 172 - 6*z + 172. What is p(n(q))?\nAnswer: 45*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 60*g - 59*g - 107 = 4*r - 26, 11*r + r + 233 = g for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 4560 - -7138. Let f = q - 8151. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2\/(-3) + 4\/(24\/46). Suppose 4 = 2*m + 2*o, 2*m + 0*o = o + f. Solve -z + m*z = -8 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -6*b**2 + 155*b + 292. Give i(-2).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 (base 6) in base 2?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -1373*q**2*v*y**3 - 3*q**2*v*y**2 + 4*v*y - 3*v + 176*y**3 wrt q?\nAnswer: -2746*q*v*y**3 - 6*q*v*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 143690?\nAnswer: 2, 5, 14369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1558997\/13041 + -2750\/23. Find the common denominator of j and 46\/9.\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -258 = -2*g - 4*d, 5*g + 2*d - 633 = -2*d. Suppose g = 4*y - 35. Is 9\/(9\/2) + y + 1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b - 4 = -3*b. Suppose 3*r + 257 = b*a, 3*r + 3*a + 30 = -213. Let u = r + 136. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11 = 6*w - 7 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 485 + -515. What is the common denominator of (-2)\/6 + 29\/(-10) and 9531\/756 - (l\/14 + 2)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 1846254 and 1.\nAnswer: 1846255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*v**2 - 25864*v + 7075200.\nAnswer: -2*(v - 268)*(v + 13200)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 2440, 2362, 2284, 2206, 2128, 2050?\n\"Answer: -78*a + 2518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 33  (b) 1  (c) -3  (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -6 + 3 - 2*v + 16*v**2 - 31*v**2 + 18*v**2. Give k(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = -4*b + 15. Suppose b = k + 1. Suppose 3*t + k*h + 43 = 6*t, -2*h = 3*t - 73. Is 7 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = n**2 - 3*n - 26. Is w(19) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 883, 880, 883, 898, 931?\nAnswer: 988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -13*n + 50. Let l be p(8). Let h(f) = 12*f**2 + 4*f - 4. Let v be h(3). Let o = l + v. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4 - 11*z**2 + 7*z - 5 - z**3 + 11*z**2 to u*z**2 + q + n*z + l*z**3 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.007 - -5.293. Let r = 0.3 - q. What is the third biggest value in 0.1, r, -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 99, 68, -21, -198, -493, -936, -1557?\nAnswer: -2386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 360 and 7040?\nAnswer: 63360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 35 divide 348112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-2)\/4)\/(-1)*(-1 + 19). What is the highest common divisor of s and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1\/4  (b) -5  (c) -1\/4  (d) -2  (e) -1172\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1\/4*n**3 - 1\/2*n + 0 + 1\/4*n**2 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -970.32 or 0.36?\nAnswer: 0.36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*w - 5*k - 669, -5*w - 3*k + 180 = -969. Is w a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -59\/25172 and -149\/10788?\nAnswer: 75516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000021202 rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 28 and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1\/40 - 9\/40. Let k be (4\/(-3))\/((1\/9)\/(149\/6258)). Which is the closest to -0.3?  (a) n  (b) k  (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-4 - 1 + 0)*(2 - 5 + 1) + (5 + 1 - 5)*(3 - 3 + 1) + (2 + 1 - 4)*(4 + 0 - 3))*(-5*i - i + 5*i).\nAnswer: -10*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -36562735 + -24?\nAnswer: -36562761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -186037, -185915, -185709, -185419, -185045, -184587?\nAnswer: -184045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let -u**4\/3 - 31*u**3\/3 + 428*u**2\/3 - 468*u + 336 = 0. What is u?\nAnswer: -42, 1, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 675344183 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-2\/11)*(i**(4\/9)\/i)\/i)**(3\/13) assuming i is positive.\nAnswer: i**(-172\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 274417 is divided by 67739?\nAnswer: 3461","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -4*o**3 + 53*o**2 + 419*o + 79. Is k(-43) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from skjjjkikijjkijiijk. Give prob of sequence kj.\nAnswer: 35\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sy when two letters picked without replacement from {s: 1, y: 2, e: 1, t: 1, b: 1, v: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1728)*-1 + sqrt(12) - sqrt(12))\/sqrt(4))**2.\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 - 15 = -4*b. Solve -2*i - 2*u = 3*u + 7, i + b*u = -4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**(-10)\/t**(-2\/35)*(t*t**(-36))\/t*t**(-21)\/t assuming t is positive.\nAnswer: t**(-2378\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-112*h - 157 + 157)*(h**4 + 4 - 4).\nAnswer: -112*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-14)\/21 + 16\/12?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*w + 18 = 12*w. Let h(n) = n**2 - 4*n + 3. Let o be h(w). Let c be 22\/10 - 3\/o. Solve 1 = -c*v + v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -57, -0.1, -1\/33, 1 in ascending order.\nAnswer: -57, -0.1, -1\/33, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -8.26 less than 38833339.99?\nAnswer: 38833348.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 70491.75ns?\nAnswer: 0.07049175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -1990*r**2. Let b(k) = -67*k**2 - 13. Let g(u) = 31*u**2 + 6. Let c(o) = 6*b(o) + 13*g(o). What is c(v(f))?\nAnswer: 3960100*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Add together -2627404 and -0.5112.\nAnswer: -2627404.5112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 12\/(-18)*1*456\/(-95)\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -132 - -132.1. Let w = 1.08 + 0.32. Sort -3\/2, n, w, 0.3 in decreasing order.\nAnswer: w, 0.3, n, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 6?  (a) 5  (b) 0.4  (c) 2  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.05 + 0.15. What is the nearest to z in -1, -1\/5, 3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1c40ba5 (base 14) to base 13.\nAnswer: 2c10a04","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2005?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 25799 and -3.\nAnswer: -77397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:22 PM and 7:58 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 2129 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -42\/90715 and -47\/164.\nAnswer: 14877260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i**11\/i)\/i*i)\/(i\/i**3))**20*i**(1\/10)*(i\/i**(-1)*i)\/i*i*i\/(i**(3\/8)\/i)*i*i*i**2*i*i*i assuming i is positive.\nAnswer: i**(10069\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.04?  (a) -1\/2  (b) 255  (c) -239\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 2*z**3 + 72*z**2 - 63*z - 54. Let q be a(-36). What is the highest common divisor of 54 and q?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*m = 5*f + 4*m + 177 + 3, -3*m = -23 - 34 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/((-14)\/(-77)) + -7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -5755*137273\nAnswer: -790006115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = z**3 - 10*z**2 + 11*z. Suppose -5*f + 60 = -0*f. Suppose 39 - f = 3*a. What are the prime factors of q(a)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -64421*b**2 + 956437*b**2 + 65126*b**2.\nAnswer: 957142*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/5 + (-21268)\/(-2045))\/(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -g**2 + 23*g + 124. Suppose 0 = 4*t - 152 - 16. Suppose 0 = -w + 5*s + 18, -5*w - s = -2*s - t. Calculate the least common multiple of w and k(27).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -497*p + 2217*p - 5 - 2.\nAnswer: 1720*p - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = d**3 - 23*d**2 - 23*d - 33. Let h be s(24). Let x(u) = 5*u + 6. Let j(r) = -4*r - 7. Let q(i) = -6*j(i) - 5*x(i). Is 7 a factor of q(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.3 and -20050959.\nAnswer: -20050959.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -169, -164, -157, -148?\n\"Answer: w**2 + 2*w - 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 77557 and 43.\nAnswer: 3334951","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5 (base 13) to base 11.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 216 + 659. Suppose 0 = 5*d - 4*x - 1120, -x = -4*d - 2*x + r. Is d a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9090 is divided by 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27 = -5*s - 3*h + 22, 0 = 4*s + 2*h + 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 740, 577, 414?\n\"Answer: -163*l + 903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.802857 litres in millilitres?\nAnswer: 802.857","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is n in 4*n**3 + 12460*n**2 + 99344*n - 248560 = 0?\nAnswer: -3107, -10, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.467 - -0.544. Sort -1\/3, -3\/8, g, -2.\nAnswer: -2, -3\/8, -1\/3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3827 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -38*h - 54*h + 134*h + 55989 - 41*h - 56067.\nAnswer: h - 78","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 22\/(-26) + 1 + (-1015)\/(-5655)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 11664 and 17244.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*p - 793 = -473 for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13796 is divided by 49?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -1569453357 minus 2550?\nAnswer: -1569455907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -6*t**3 + 96*t**2 + 105*t + 42. Determine o(17).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 4, z: 2, g: 3, h: 3, y: 2, e: 1}. Give prob of picking 2 b, 1 h, and 1 y.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -1 - (0 - 1 - 0). Let v(l) be the second derivative of 2*l + l**3 - 1\/20*l**5 + m - 5\/2*l**2 + 1\/3*l**4. Determine v(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 32*c + 119516 - 15*c - 13*c.\nAnswer: 4*c + 119516","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 23003 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (sqrt(3) - sqrt(12)) - (sqrt(3) + 1 + -1).\nAnswer: -2*sqrt(3) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 12305 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 -4.8 times 0.4?\nAnswer: -1.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1109733 and 456.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 131\/3666 and -99\/7368754.\nAnswer: 287381406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/4, 0, -1\/3, 3, -15 in descending order.\nAnswer: 3, 0, -1\/4, -1\/3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = 9*k - 1. Determine a(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (600\/(-1125)*6\/4)\/((-6)\/(-5))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 70084 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zgg. Give prob of sequence gzg.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = n**2 - 3*n - 8. Let p be m(5). Suppose -7*i = -2*i + 20, p*x - 8 = 2*i. Suppose -6*q + 5*q = x. Solve q = -z - 2 - 1 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-258)\/6 + 15\/(-5)*(-210)\/90?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4\/59 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 10\/21 - 15\/7. What is the nearest to 1\/3 in -4, 5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 693969827 to the nearest integer?\nAnswer: 26343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1218?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*l**3 - 6*l**3 + 0*l**3 + (2*l - 3 + 3)*(l**2 - 2*l**2 + 2*l**2) + 0*l**2 + 0*l**2 + l**3 + 15*l**3 + 7*l**3 + 2*l**3.\nAnswer: 26*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (2\/10 - -1)*(-5)\/(-2). Let i = 9 + 2. Let h = -11 + i. Solve -2*g + h*b = -b + 7, -2*g + 5*b = n for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k = 5*l + 5, 3*l - 2*k - 5 = 8*l. Sort -2, -5, l in increasing order.\nAnswer: -5, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) be the second derivative of 1\/4*s**4 + s + 53\/56*s**8 + 0*s**6 - 1\/6*s**3 + 0*s**2 + 0*s**7 - 45 + 0*s**5. What is the third derivative of q(m) wrt m?\nAnswer: 6360*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) be the second derivative of -s**7\/42 - 6*s**6\/5 - 87*s**5\/10 + 821*s**4\/3 + 2317*s**3\/2 + 1764*s**2 + 6052*s. Determine q, given that t(q) = 0.\nAnswer: -21, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -26*u**2 - u. Let g be r(2). Let w = g - -46. What is w rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/4)\/(6\/3)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 4 + 6)*(4*v**2 + v**3 - 4*v**2) + (-4*v**2 + 5*v**2 + 3*v**2)*(5 + 2*v - 5) - 7*v**3 - 4*v**3 + 4*v**3.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*q - 2 = 7. Let a be ((-10)\/30)\/(q\/(-9)). Solve a = 2*g - h, 0*g = 3*g - 3*h - 9 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4*l*r**6 + l*r**4 + 2*l*r**2 + 17*l*r - 3*r**6 wrt r.\nAnswer: 480*l*r**3 + 24*l*r - 360*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -60 + 120. Is (3 + z\/(-9))\/(3\/(-153)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 21 by -131.\nAnswer: -21\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/3?  (a) -7  (b) -3\/8  (c) -1\/7  (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 51832 is divided by 1295?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - u - u = 270, u - 145 = -s. Let m be (0 + 4\/(-10))*-50. Calculate the greatest common factor of s and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (5*15\/(-100))\/(30\/(-32))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 9\/7  (b) -36  (c) -0.5  (d) 5  (e) -9\/10  (f) 124\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 + 12*c - 11 + 9.\nAnswer: 12*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 at least 85\/757?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -d**3 + 7*d**2 - 3*d + 21. Let u be k(7). Which is the nearest to u?  (a) -4  (b) -5  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 2700704116?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1\/((3\/(-128))\/(-3)) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 697077?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 7666789513 to the power of 1\/8, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -37*h - 53*h + 0 + 87*h + 6.\nAnswer: -3*h + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2\/3*f**5 - 26\/3*f**3 + 0 - 8\/3*f + 4*f**4 + 8*f**2.\nAnswer: -2*f*(f - 2)**2*(f - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 12026?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -39.74 + 31.74. Which is the nearest to u?  (a) 28  (b) 4\/7  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 3 + (-1)\/(1\/(-4))*1. What is the greatest common factor of 21 and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1  (b) -33.73179  (c) -15  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 6\/(-153)*-17 + (-1)\/9. Sort 11, q, 0.3 in decreasing order.\nAnswer: 11, q, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 41400 to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 330*k - 432 - 2688 - 2160 = 0. Solve -2*y + y + 4*u + k = 0, 2*y - 14 = 2*u for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 96697 - -137?\nAnswer: 96812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from axrpxkk. Give prob of picking 1 x and 1 k.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = a - 1 - 20. Suppose 0 = m - 3*m + 618. Let n = m + a. What is the highest common factor of 30 and n?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1498418 by 1351.\nAnswer: -1498418\/1351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + (-2 + 15 + -7 - 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = 4*r - 9. Let l be s(6). Let w be 946\/4 + 39\/26. Let j = -118 + w. What is the highest common factor of j and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -16502d - -42?\nAnswer: -164dcb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 25 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2*1\/10)\/((-5317)\/(-2045))?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*r**(-13\/3)\/r*r\/(r\/r**(-1\/22)))\/((r*r**(-8))\/r**31) assuming r is positive.\nAnswer: r**(2219\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5055 is divided by 837.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -62 + 44. Let y be (s\/(-12))\/(0 - 1\/8). Let z(m) = -2*m**3 - 18*m**2 - 4*m - 5. Is z(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*z + 6 + 4. Let h be z - 0 - (-1 - -2). Let l(d) = 6*d**3 - 2*d + 1. Give l(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -50 = 4*m - 58. Solve 4*j + 3*l - 23 = -m*l, -5*j + 13 = l for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -293 = -36*g - 632 - 597 for g.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 164721527 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5 (base 16) to base 4.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Are 3 and 155.2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*o + 0*o - 2*o - 48 - 5*o.\nAnswer: o - 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + x + 0)*(-1 - 1 + 3) - x + 2 - 2 + (2 - 2 - 1)*(0 - 2*x + 0).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tvjl when four letters picked without replacement from dvjtjdl?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 118529 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -3 + 2.7. Let n = -76 - -23. Let r = n - -211\/4. What is the biggest value in b, 0, 4, r?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1086803 - 808581553\/744. What is the common denominator of -58\/183 and r?\nAnswer: 45384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ol when two letters picked without replacement from lllllooo.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (b**2 + b**2 + 0*b**2)*(-2 + 7 + 3) + b**2 - 4*b - 504 + 233 + 255.\nAnswer: 17*b**2 - 4*b - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 671500 and 680.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 179, 1306, 4619, 11294, 22507, 39434, 63251, 95134?\nAnswer: 136259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-12)\/(-3) + -2 + 1. Let z(c) = 6 - c**3 + 0*c**l + 8*c**2 - 18*c**2. What is the smallest common multiple of z(-10) and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 68 a factor of 295300744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -1004, -954, -874, -746, -552, -274, 106, 606?\n\"Answer: 3*d**3 - 3*d**2 + 38*d - 1042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 18520 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 3, a: 2, m: 11, l: 3}. Give prob of picking 1 l and 1 a.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = m**3 - m**2 + 2*m + 1476. Let z be j(0). Suppose 0 = 4*w - 13*w + z. List the prime factors of w.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -4507, 889 in descending order.\nAnswer: 889, 4, -4507","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2293116132?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 52*z**2 - 365*z + 20. What is b(5)?\nAnswer: -505","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11101100101 - 111011011011000?\nAnswer: -110111101110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 520 divided by 65.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/5, -35942, 8 in decreasing order.\nAnswer: 8, 3\/5, -35942","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 2360069 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -1 - (24\/3)\/(-4)*5. Suppose -2*d - m = -5*y, -y + 15 - 6 = 2*d. Solve -y*u = -8*u + 20 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*j - 8*j + 71*j**2 - 40*j**2)*(-j**2 + 3*j**2 - 4*j**2) - 3*j**4 + 1 - 20*j**2 + 20*j**2.\nAnswer: -65*j**4 + 4*j**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:36 PM and 10:20 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 294 a factor of 908166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = 10*p - 11. Let g be r(5). Suppose y = -0*y + 5*q + 13, 5*q = -3*y + g. Is y a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -9972505*b**2*r + 7*b*r - 99*b - 71*r - 2 wrt b?\nAnswer: -19945010*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -18 + 9*p**2 + 18 + (-5*p + 7*p - 3*p)*(-9*p + 16*p - 69*p).\nAnswer: 71*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -356.391 + 7.091. Let w = p - -349. Which is the second smallest value?  (a) w  (b) -18  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -13 + 7?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 2982711242 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**13)**(-2\/37) assuming q is positive.\nAnswer: q**(-26\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -664287829 + 664287309.9999857. Let t = n + 519. Round t to 6 decimal places.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2515586025.\nAnswer: 3, 5, 2381, 14087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 150 and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23*s + 499 - 453 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 507289.\nAnswer: 507289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -163 + 608. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3.9 - 12.1. Let g = u + 16.26. What is g rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 2, a: 15, b: 3}. Give prob of sequence bb.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -9*p - 60. Let l be v(-7). Solve -l*z - 2 = -z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ggigjjgjggjijg. Give prob of picking 2 i, 1 g, and 1 j.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2\/3, 3, 0.4, 1, 0.38?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) be the first derivative of -2*r**5\/75 + r**4\/15 + 2*r**3\/15 - 4*r**2\/15 - 8*r\/15 + 10. Factor f(k).\nAnswer: -2*(k - 2)**2*(k + 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 36559978?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -32.07 + 32. What is the nearest to 2\/7 in -1\/4, d, -1\/5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) be the third derivative of -a**8\/1680 - a**4\/8 + 2*a**3\/3 + 3*a**2. Let h(z) be the first derivative of n(z). Differentiate h(q) with respect to q.\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-3)\/(-15) - 14\/(-5). What is the remainder when (4 - -1 - 2)*l is divided by 1426\/368 - 3\/(-24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -22912.5+0\nAnswer: -22912.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or -81\/620?\nAnswer: -81\/620","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -4*o - 152. Let d be u(-38). Let q(h) = 5*h**2 - h + 585. Is 37 a factor of q(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = d**3 + d**2 - 1294*d + 54. Give h(36).\nAnswer: 1422","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4621105919.\nAnswer: 19, 1447, 168083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 430201 is divided by 71700.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4777*g - 3952*g - 4004*g.\nAnswer: -12733*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 40740 and 2780505.\nAnswer: 11122020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -3*k - 60. Determine s(-4).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bnneennnncnnfneeneen. Give prob of picking 1 c, 1 b, and 1 f.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -125 or -373\/3?\nAnswer: -373\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -5035 divided by -85\nAnswer: 1007\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*s**3\/9 + 484*s**2\/9 - 4960*s\/3 + 1600 = 0. Calculate s.\nAnswer: 1, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 96 minutes after 10:20 AM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide -11338906 by -59366.\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) be the first derivative of 7*n**6 - n**5\/5 + 5*n**3\/3 - 203*n**2 + 1680. What is the third derivative of d(j) wrt j?\nAnswer: 2520*j**2 - 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 6\/4 - (6 - (-268)\/(-56)). What is the nearest to 0 in 3, a, 0.2, 0.29?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 101310322001 (base 4) in base 16?\nAnswer: 474e81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 468?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 862356 to the power of 1\/3, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w = 9*w. Let c = w + 1. What is the least common multiple of (-24)\/30*(-9 - c) and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (1 + 49)\/(-5)*8\/10. Let a be (b - -18) + -5 - 0\/(-3). Solve 0 = 2*c - a*r - 11, -4*c + r = c - 16 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1.4 in 3\/4, 1, 4.1, -157?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*v**3 - 30156*v**2 - 421596*v - 1474900.\nAnswer: -4*(v + 7)**2*(v + 7525)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -107.54522 + -32?\nAnswer: -139.54522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.3 and 666.5.\nAnswer: 666.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -4*f**2. Let q(s) be the second derivative of 4*s**3 + 12*s + 4. Determine q(v(h)).\nAnswer: -96*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4395?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-4 - 2 + 2)*(3 - 1 - 3) + (1 - 1 + 2)*(-1 - 2 - 2))*(-1 + 1 - n**4).\nAnswer: 6*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*n = -2*n - 75 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/617 or 7.847?\nAnswer: 2\/617","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -112*y**2. Let l(w) = w**2 + 2177*w + 4. Give l(x(c)).\nAnswer: 12544*c**4 - 243824*c**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(1\/5)\/((w**(-1\/21)\/w)\/w))\/(w**0*w**1) assuming w is positive.\nAnswer: w**(131\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 5.6 - 5.4. Which is the third smallest value?  (a) m  (b) -6\/5  (c) -1\/5  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 25017 is divided by 4168?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 3  (b) 17  (c) 4  (d) -2\/7  (e) -2  (f) 113\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -12186 + 13794. Calculate the least common multiple of o and 3.\nAnswer: 1608","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 647 minutes before 7:20 PM?\nAnswer: 8:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1506037, 3012071, 4518103, 6024133?\nAnswer: 7530161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -3 + (-3 - -34) + -3 + (928 - 921)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 74 + -4. Is j a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22480123 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -w**3 - 12*w**2 + 5*w + 6. Determine p(-6).\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n = -5*j + 17, -3*j = -0*j + 5*n - 35. Solve -5*q + j*v = 16 + 19, 2*v - 23 = 5*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -2\/4644873 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(2\/13)*t**(-7)*t)\/((t\/t**(-5))\/(t\/(t**(-2)\/t))))\/((t\/(t\/(t\/t**(-3)))*t)\/((t*t**(-2\/9))\/t))**19 assuming t is positive.\nAnswer: t**(-12527\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 253688928?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 677 minutes before 12:29 AM?\nAnswer: 1:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ol when two letters picked without replacement from lshoshlja.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -25 + 27. Suppose 277 = u*n + c, 7*n - 415 = 4*n - 2*c. Suppose 5*q - 221 = n. Calculate the highest common factor of q and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 44 minutes before 1:16 PM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*i - 12 = 37*u - 38*u, 5*u = -5*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {a: 9, y: 7}?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2)\/(-6)*0\/1 - -2. Suppose t - 7 = -3*o - 1, -o + 5*t + 18 = 0. Factor -2 + 4*s - 1\/2*s**l - 3\/2*s**o.\nAnswer: -(s - 1)*(s + 2)*(3*s - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -111 (base 2) to base 12.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve h + 3*h + 129 = -5*t + 65 + 67, 4*t = -5*h + 6 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 6994065577 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 789111?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oko when three letters picked without replacement from {k: 6, o: 4, c: 4, n: 2, w: 1}?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 - 7 = -4*y. Let p(f) = f**2 - 7*f + 5. Let x be p(7). Suppose x*b = 3*h + 5, 2*b = 4*h + 3*b - 24. Solve -y*v = -h*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -37.3387275 to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -57 + 42 = -v. Solve 31*d = 28*d + v for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*o + 9*o - 22 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1\/8, -135, 325, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -180 - -233. Calculate the smallest common multiple of n and 7.\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.07765333 rounded to two decimal places?\nAnswer: 1.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 64302 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + q = -4, -2*q = r - 6*q + 5. What is the derivative of -2*g + 8*g - r*g - 4 - g wrt g?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 656 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s - 2*s + n = 103, 3*n + 146 = 4*s. Suppose 3*r = 5*o + s, 3*o - 14 = -2*r + 4*o. Calculate the remainder when r is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a + 3*m = 4*m + 292, -5*a + 2*m = -730. What is the remainder when a is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 6, 0, 2.35.\nAnswer: -2, 0, 2.35, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -231012203113 (base 4) to base 16\nAnswer: -b468d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 58*j**2 + 0 - 3 - 54*j**2 + (4*j - j - 2*j)*(-36 - 7*j + 36) in the form i*j + z + x*j**2 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-10)\/8)\/((-267)\/1068).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, 1, 85\/3, -1\/6 in increasing order.\nAnswer: -1\/6, 0.2, 1, 85\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 5 + -1. Suppose -h*l + 12 = -0*l. Suppose 3*a - 2*r + 0 = -l, -r = 2*a - 5. Do 0 and a have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.6366092 months in years?\nAnswer: 0.1363841","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = 3*h. Let u(p) = -91*p**2. Give t(u(f)).\nAnswer: -273*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(4\/9)*v)\/v**(2\/31)*v**(-13)*v*v*v**(-4) assuming v is positive.\nAnswer: v**(-3800\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-14)\/10)\/((-48)\/15 + 3). What is the hundreds digit of (126\/12)\/y + (-783)\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) be the second derivative of l**6\/180 - l**4\/4 + l**3\/3 + 6*l. Let n(a) be the second derivative of w(a). Differentiate n(j) wrt j.\nAnswer: 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -107 - -105. Which is the closest to x?  (a) -0.7  (b) -3  (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -15*i + 17*i. Let f(d) = -2*d + 3*d - 7*d**3 - 2*d**3. Give f(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = g**3 - 9*g**2 + 7*g - 9. Give r(6).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (8238\/5)\/(1\/1685). Let f = 4376206 - z. Round f to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d**9*d)\/((d**(-4)\/d)\/d) assuming d is positive.\nAnswer: d**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -94.6, 10, -2, -2\/19, -1, -1\/5.\nAnswer: -94.6, -2, -1, -1\/5, -2\/19, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4581 + -32065\/7. Sort -3, -1, j, -2, -0.05 in increasing order.\nAnswer: -3, -2, -1, -0.05, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.3, 4, -1, -0.113, -1.36?\nAnswer: -1.36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 252307732 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 1489989726 to the power of 1\/2, to the nearest integer?\nAnswer: 38600","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -148.3, 412, -2\/13, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 17\/2 of a millennium?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 6*b**3*m**2 + 36*b*m**2 + 2*m**2 - 155 wrt b.\nAnswer: 18*b**2*m**2 + 36*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = g**2 - 13*g + 13. Let i be b(12). Let h = 247 + -287. Let x(r) = -r - 42. Let s be x(h). Put s, -8, i in decreasing order.\nAnswer: i, s, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) be the second derivative of m**5\/20 - 7*m**3\/2 + m**2\/2 + 97*m. Is y(9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 113487?\nAnswer: 3, 11, 19, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 62768 and 3291397?\nAnswer: 3923","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 4\/(-16) + 554\/8. Let l = n - 4. What is the greatest common divisor of l and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/(r**(1\/3)\/r))\/r**(2\/37))\/(((((r**(4\/3)\/r)\/r)\/r)\/r)\/(r**(-16)*r)) assuming r is positive.\nAnswer: r**(-1190\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2, -2\/11, 73?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 10895 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (20*y**3 - 21*y**3 + 19*y**3)*(0*y - 4*y + 8*y)*(9 + 3 - 3).\nAnswer: 648*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5772361 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.18 + 0.28. Let y = -2.02 + 0.02. Let v = y - -2.2. Sort v, j, -1 in ascending order.\nAnswer: -1, j, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -72*t - 46 = -26*t. Let a(h) = 4*h**2 - 4*h + 3 + 2*h - 4. Give a(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-8)\/(-28)*((-100)\/12 - -6). Let q = -0.4 - -4.4. Suppose 0 = 3*x - 3. Put x, r, q, 0 in decreasing order.\nAnswer: q, x, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 81.2 - 81.20281. What is r rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -t**2 + t + 77. Suppose 36 = 4*c - 2*j, 25*j = c + 24*j - 9. Let z be k(c). Let l = -3 - -5. Solve -5 + 17 = d - z*g, l = -4*d - 5*g for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2*t - 2)*(3*t + 2*t + 0*t)*(2 - 6 + 2).\nAnswer: 20*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -2*j**3 - j + 1. Let s be z(1). Let o be 7\/s*84\/(-2). Let c = o + -80. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 12 + -8. Let w = 2 + -4. Let t be (10\/(-45))\/((-3)\/9). Which is the nearest to t?  (a) x  (b) w  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) be the second derivative of 0*k**2 + 2\/7*k**4 + 28 - 3\/140*k**5 + k - 8\/7*k**3. Factor d(t).\nAnswer: -3*t*(t - 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -609 at least -608?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4010 - 3204. What is the remainder when y is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = 3*z + 3*a, -5*z + 3*z - 3*a - 8 = 0. Let g(j) be the second derivative of j + j**z + 1\/3*j**3 + 0. Give g(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 8 and 9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 763*a = 765*a - 102. Calculate the highest common divisor of a and 816.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t - s = -2*s - 9, 0 = -t - 2*s + 3. Let m = 30 - 28. Solve -d = -o - m - 3, -t*o = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*t + 0 + 0)*(125 - t**2 - t + 121 - 236)*(-t**2 + t**2 - 2*t**2).\nAnswer: 6*t**5 + 6*t**4 - 60*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*m**5\/5 - 1131*m**4\/5 + 1128*m**3\/5.\nAnswer: 3*m**3*(m - 376)*(m - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.3, -39\/55, 3\/7, -4, -48, -3 in descending order.\nAnswer: 3\/7, -0.3, -39\/55, -3, -4, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 8 + 2*m + 4 + 6 + 3. Let q be p(0). Let f be (q + 1)\/1 - -2. What is the greatest common factor of 24 and f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 0.2  (b) -88  (c) 0.29  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 37576321 to the power of 1\/2, to the nearest integer?\nAnswer: 6130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = s - 11. Let d be 18\/(-12)*(-1 - s). What are the prime factors of 1*((-84)\/d - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -30*l - 34*l - 4*l - 7 + (l + 0 + 0)*(2 + 0 - 1) to o + g*l and give o.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (248\/40 + -7)\/(4\/(-10)). Let z be (-3 - l) + 0 + 7. Calculate the highest common divisor of 34 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -m**2 - 11*m - 4. Let g(x) = -2*x**2 - 10*x - 4. Let q(s) = -3*g(s) + 2*r(s). Factor q(w).\nAnswer: 4*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-9)\/(-1)*3*(-474)\/(-27). Let b = -490 + x. Does b = 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7587\/(-1686)*128\/18\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/3*261\/58?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 8495, 33630, 75523, 134174, 209583, 301750, 410675?\nAnswer: 536358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) be the first derivative of g**7\/2100 - g**6\/300 + g**5\/150 + 4*g**3\/3 - 4. Let r(j) be the third derivative of s(j). Factor r(b).\nAnswer: 2*b*(b - 2)*(b - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -2 - k**3 + 2*k**2 + 5 + 5*k**2 - 4*k. Let u be s(6). Let g be 6\/u - (12\/(-5))\/4. Solve -f + 0 = -g for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3848?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(1\/3)\/(l\/(l*l**(3\/2))))**(-27)\/(l\/(l\/(l*l*l*(((l*(l*(l*l**(5\/7))\/l)\/l*l)\/l)\/l)\/l))*l\/(l**0*l)*(l\/(l*l**(-2\/3)\/l)*l)**(-27)) assuming l is positive.\nAnswer: l**(277\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 11*a**2 - 6*a**2 + a**2 to the form o*a**2 + i + u*a and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -23010765 or -7?\nAnswer: -23010765","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13 divided by -11.\nAnswer: -13\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 15\/13  (b) 2\/19  (c) -0.2  (d) -5  (e) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1 + ((sqrt(85)*2 - sqrt(85) - sqrt(85))*6*-4)\/((sqrt(125)*2 - sqrt(125))*-6))**2 + -1)*2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 690 minutes after 7:03 PM?\nAnswer: 6:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide -113 by -1.\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 195 minutes before 4:16 AM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 42*q = 37*q - 160. Let p = q + 113. Suppose 2*d + t - p = 0, 3*t - 53 = -0*d - d. Calculate the highest common divisor of 2 and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 41 + -41. Let s = 724\/5 + -144. Which is smaller: f or s?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 625517588.\nAnswer: 2, 29, 5392393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.65 + -0.05. Let t = k + -0.4. Let a = -0.3 - -0.1. What is the closest to t in -1\/8, a, 2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.4444 to two dps.\nAnswer: 0.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z = 25*i - 26*i - 23, -4*z + 28 = 4*i. Solve -3*n + 3*d + 6 = 0, z*n - 10 = 6*d - 5*d for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l - 8 = -7*l. Let d be l - (-4 - 17)*1. Find the first derivative of -d + 40 - 24 - 2*m**3 wrt m.\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 24\/(-30)*-25*(-11)\/770?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 2, -199, -0.3, 1, 0.3, 1\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 298, 558, 804, 1030, 1230, 1398, 1528, 1614?\nAnswer: 1650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -259\/5 + 52. Suppose 0 = 3*p + 9. Let n be 2 + (11\/p - -1). What is the nearest to 1\/4 in q, n, 4\/3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -d - 11. Let l be o(-10). Let f be (17 + l)\/(3 - 4). Is 33 a factor of (f\/48)\/((-1)\/99)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3345 + 6*j**3 - 6*j**3 - 3349 + 10023 - 3329 + 4*j**3.\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 4, d: 5, s: 6}. Give prob of sequence fsds.\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = c**2 - 1. Let w be z(-4). Let k(r) = 3*r**2. Let o(v) = 14*v**2 - 2*v. Let n(y) = w*k(y) - 3*o(y). Factor n(q).\nAnswer: 3*q*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00029527 rounded to six dps?\nAnswer: 0.000295","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 241333, 482662, 723991?\n\"Answer: 241329*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/m**(1\/3)*m\/((m\/(m**(2\/7)*m))\/m))\/(m*m**(-3\/2)*m*m*m**(3\/2))*m**1*m**3*m**(1\/3)\/m**1 assuming m is positive.\nAnswer: m**(23\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -2*((-9)\/2 + -2). Solve -5*o + 2 = -w for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 2*w**2 - w + 5. Let t(r) = -r**2 - 1. Determine -a(o) - t(o).\nAnswer: -o**2 + o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 37.068 - 37. Let j = l - -0.132. Which is the fourth smallest value?  (a) -0.4  (b) 1  (c) 0.3  (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 7563640 and 70.\nAnswer: 7563640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -6435 divided by 1287\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 11760 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-6)\/12*30 - -4355?\nAnswer: 2, 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -372*s - 315*s + 1051*s - 364*s + 170*s**2.\nAnswer: 170*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 30 - 61\/2. Let v = -836 + 839. What is the second smallest value in v, 5, k?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = 2*l + 1. Let t be i(-4). Let d = t + 3. Let n = 951.5 + -951. What is the nearest to -1 in 1\/4, d, n?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s**6)\/s**(1\/10))**36 assuming s is positive.\nAnswer: s**(1242\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve z + 113 - 109 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1080394069 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in -11, -11.4, -5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -213 + 449. List the prime factors of c.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.5, -47\/14, 1\/3, 0.5336.\nAnswer: -47\/14, -0.5, 1\/3, 0.5336","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express 37*m**2 - 278 - 177*m**2 + 278 in the form d*m**2 + l*m + a and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 450542625 a multiple of 460?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -5  (b) 44788  (c) 0  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -1, -4\/19, -41490, 0.1, 5\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p, 1 d, and 1 k when three letters picked without replacement from {p: 1, k: 1, w: 2, d: 1, i: 2, x: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -5 + 5.4. Let d = 0.4 + -0.9. Let i = d + 0.6. Which is the closest to i?  (a) 2\/7  (b) l  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 499a (base 15) to base 3\nAnswer: 210111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -3*m - 3*b, 3*b + 16 = 5*m - 13. Suppose -88 = -4*q - 5*g, q - 4*g + 66 = m*q. Does 5 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 48\/(-15) - (-2)\/(-10)*-1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wpwn when four letters picked without replacement from rplpnlw?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -9 - 11*c**2 + c**2 + 19*c - 6*c + 9*c**3. Let i(t) = -4*t**3 + 5*t**2 - 6*t + 4. Let f(a) = -7*i(a) - 3*m(a). Give f(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = s**3 + 49*s**2 + 53*s + 219. Determine i(-48).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -610 + 1844\/3. What is the common denominator of 7\/30 and j?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -740395.12 to the nearest ten thousand.\nAnswer: -740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 75881 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence afa when three letters picked without replacement from fffffffbfafffqqfaff?\nAnswer: 14\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (6 + 46 + 54*f - 48*f)*(-6*f**2 - 2*f**2 + 0*f**2) to h*f**3 + m + g*f**2 + r*f and give h.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 8892337463 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -10121112020100 (base 3) in base 16?\nAnswer: -1d4a8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x*(x*x\/x**(-2\/45))\/x)\/((x*x**24*x)\/x*x))\/(x*x*x**20*x*x)**(3\/2))**(-19) assuming x is positive.\nAnswer: x**(51262\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -3*v**3 - 18*v**2 - 9*v + 23. Let i(g) = -g**3 - 6*g**2 - 3*g + 8. Let z(y) = -11*i(y) + 4*p(y). Let a be 50\/(-15)*9\/6. Give z(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 18 and 22680?\nAnswer: 22680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*a - j + 31 = 18, 5*a = 2*j + 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 180452190\/19 or 9497485?\nAnswer: 180452190\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 1 = 2*z - 3, -4*z - 4*b = -16. Let g(h) = 4*h**3 + 0*h**3 - 4*h**z + 10 - 4. Let d(w) = -w**3 + w**2 - 1. What is 6*d(j) + g(j)?\nAnswer: -2*j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1249559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 104 - 146. Let i = 72 + h. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 equal to 44388?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 6\/25 of a meter?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2f + 2c746?\nAnswer: 2c717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 11 + 10 = 0. Let p = 7 + w. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.8482 + 0.8465039. Round f to five dps.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 2\/15?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-1)\/4)\/((-16)\/128). Sort -1\/9, -8, s, -3 in descending order.\nAnswer: s, -1\/9, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 128387 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -16080.17 rounded to the nearest one hundred?\nAnswer: -16100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, 699, 438.\nAnswer: 6, 438, 699","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 143 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 11540015*a**4 + 24563*a - 118 wrt a?\nAnswer: 138480180*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = 135*g**4 - 7*g**3 - 4*g**2 + 4. Let q(k) = 67*k**4 - 4*k**3 - 2*k**2 + 2. Let c(x) = 7*q(x) - 4*u(x). Find the third derivative of c(n) wrt n.\nAnswer: -1704*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 0.5199358 decades?\nAnswer: 0.05199358","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 2\/((-4)\/(-21))*4030\/2015\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (8\/(-6))\/(3\/9). Let w = 0 - f. Let c be 1*(-1 + 0\/w). Let x(t) = -8*t**3 + t**2 + 2*t + 1. Calculate x(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -255 + q**3 - 374 - q**2 + 18*q + 635 to the form d*q + v*q**3 + l + c*q**2 and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2484878?\nAnswer: 2, 11, 179, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 15*z + 12*z + 18*z**2 - 27*z to the form n*z**2 + r*z + k and give n.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 32 * 1650226\nAnswer: 52807232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = 30*l**2. Let b(u) = 5*u**2. Let r(m) = -25*b(m) + 4*h(m). Let j(x) = 5*x**2. Give j(r(z)).\nAnswer: 125*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 167 minutes before 7:47 PM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**11\/n**10)\/(n**(7\/4)\/(n\/(n**17*n))) assuming n is positive.\nAnswer: n**(-71\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 631*q**2 - 175*q - 17. Is x(-11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*n = -92 - 84. Suppose 0 = -3*u - n + 31. Sort u, 4, 0 in decreasing order.\nAnswer: 4, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-2 + 2 + -5)\/((-5)\/2). Let h be 34\/6*3*(u + -15). Let c = -136 - h. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -34*q - 60. Let c be r(-3). Suppose 0 = c*l - 39*l - 639. List the prime factors of l.\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -28*w - 209. What is the remainder when 22 is divided by z(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -153 - -153.5. Which is the closest to -1\/79?  (a) v  (b) 1\/11  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -20*w**2 + 7*w. Let r(z) = -7*z**2 + 2*z. Let s(p) = 4*m(p) - 14*r(p). Let t(k) = k. What is t(s(y))?\nAnswer: 18*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 705 - 687. Calculate the greatest common factor of 441 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 143\/42 and (-3)\/21 + 150\/56.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -12 - -4. Let u(y) = 5*y + 23. Let n(s) = -2*s - 11. Let k(o) = -7*n(o) - 3*u(o). Is k(v) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 241*w - 1025 = 1119 + 1471 for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) be the second derivative of a**5\/20 - a**4\/2 + 3*a**3\/2 + a**2 + 179*a. What is o(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/9, -0.1, 947, 0.1, -14, 1 in decreasing order.\nAnswer: 947, 1, 2\/9, 0.1, -0.1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:00 PM and 5:22 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 233341928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -2146695, -4293104, -6439513, -8585922?\n\"Answer: -2146409*u - 286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -9*a**5 - 5*a**4 + 2*a. Let r(d) = 9*d**5 + 6*d**4 - 2*d. Let q(i) = 5*r(i) + 6*z(i). Find the second derivative of q(c) wrt c.\nAnswer: -180*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -9425 + 4?\nAnswer: -9421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -a**5 + a**4 - a**2 + a - 1. Let p(y) = -4*y**5 - 2*y**4 - 2*y + 2. Let o(f) = 2*l(f) + p(f). Find the third derivative of o(g) wrt g.\nAnswer: -360*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -21?  (a) 4  (b) -307  (c) 2748\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 6\/25 of a centimeter?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o - 6 = 5*f - 21, -2*o - 6 = -4*f. Let q(i) = 6*i - f*i - 3*i. Let l(v) = -2*v**2. Give l(q(j)).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3384 + 3383. Which is the closest to 7?  (a) 1\/6  (b) 1  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 0.9  (b) -4  (c) 3236  (d) 0  (e) -2  (f) 1\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-783)\/(-12) - 3\/(-4). Suppose f = -2*t + 5*t. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -26 (base 8) in base 15?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = 98*h**2. Let q(w) = -w - 3. Let l(b) = -b - 4. Let f(t) = -3*l(t) + 4*q(t). Determine y(f(k)).\nAnswer: 98*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1048 and 0.3.\nAnswer: 314.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 + 1 + 4)*(6*f**3 - 29*f**3 - 9*f**3) in the form n*f**3 + t*f**2 + m + j*f and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 20 - 0. Let b = n + -8. Let u = -26 + 59. Calculate the remainder when u is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:22 PM and 4:31 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = i**3 - 13*i**2 - 70*i + 912. Determine k(14).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 - 3 - 3)*(-532*p - 193*p - 90*p) in the form o + t*p and give t.\nAnswer: 3260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**(-2\/3)\/j)\/(j*j**7))**(1\/35)*(j**(8\/7)\/(j*j*j\/(j\/(j*j**1\/j))))**(-15) assuming j is positive.\nAnswer: j**(2896\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4315*l + 2153*l + 1968*l**2 + 2 + 0 + 2162*l to j*l + s + q*l**2 and give q.\nAnswer: 1968","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/3?  (a) 0.04  (b) -2  (c) 0.3  (d) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -437*v = -403*v - 525640. What is the ten thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*q - 9 + 28 = -2*a, -15 = 5*q - 5*a for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1\/367 - 743\/3303. Let s = 0.2 + -0.4. What is the second biggest value in -5, k, s, 3\/4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(6*((sqrt(320) + 3)*6 - sqrt(320) - sqrt(320) - (5*sqrt(320) + 2))*2)**2.\nAnswer: -331776 + 147456*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*o**3 + 0 + 48*o**3 - 35*o**3 + 0.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*z**2\/11 + 4*z - 96\/11 = 0. Calculate z.\nAnswer: -24, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -122, -128, 180, 958, 2362?\nAnswer: 4548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = n**3 + 11*n**2 + 4*n + 20. Let l be j(-11). Let z be 6\/l*36\/(-3). Suppose 5*g - z*g = 0. Solve g = 3*u + u + 20 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 3782\/4 - (777\/(-42))\/(-37)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qp when two letters picked without replacement from cpqcccp.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 204619 - -64489. Let s = r - 449108. Round s to the nearest 10000.\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 211 minutes after 8:14 AM?\nAnswer: 11:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*f**3 + 18056*f**2\/7 + 416944*f + 355488.\nAnswer: 4*(f + 322)**2*(7*f + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3738*t + 441 = 3759*t. Solve t*x + 301 = 64*x for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 369*p - 3*p**2 - 79*p - 82*p - 138*p - 79*p.\nAnswer: -3*p**2 - 9*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 663\/7198 - 7\/118. Which is greater: -1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 27 - 42. Is 8 a factor of (-549)\/l + (-12)\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 68*r = 67*r + 53. Let x = r - 48. Let i(s) = -3*s**2 + 2*s**2 - 13 + 6 + 6*s + 5. Give i(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from yyxyyryrdyxr. What is prob of picking 3 y and 1 d?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r = -2*a + 304, 2*a = 2*r - 0*r + 298. Suppose 12*p + 27 = a. Let j(d) = -d + 8. Give j(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*v**4 - 11*v**4 - v**4)*(v + 2*v - 4*v)*(4 - 7 + 7).\nAnswer: 28*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 5 - 26)*(12*w - 14*w - 3 + 7*w).\nAnswer: -120*w + 72","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = w**3 - 9*w**2 + 11*w - 12. Let y be u(8). Let f = -8 + 12. What is the greatest common factor of y and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 84615656 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*v + 798 = 786 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 945 times -0.1?\nAnswer: -94.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 180125694 and 13986.\nAnswer: 180125694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from cuccuccccccccuc. What is prob of picking 3 u and 1 c?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 56.734321837 from -4.\nAnswer: -60.734321837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -5400*k**2 - 25*k + 55. Let g(m) = 3600*m**2 + 18*m - 39. Determine 7*g(j) + 5*z(j).\nAnswer: -1800*j**2 + j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 31605061 to the nearest integer?\nAnswer: 5622","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 1, t: 8, z: 6}. Give prob of sequence zta.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a - 15 = -5*f, f - 7*a + 9 = -5*a for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1 and 107.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000001379465 rounded to 7 decimal places?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -434384 divided by 68?\nAnswer: -6388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (530\/30 - 17)*30.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:01 AM and 6:56 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 644314875 to the nearest integer?\nAnswer: 25383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 322 + -320. Solve 8 - 6 = b*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 32 = -3*f, -31 = -4*x - 2*f + 97. Let z(g) = 11*g**3 - 2*g**2 + 2*g - 1. Let n = -2 - -3. Calculate the least common multiple of z(n) and x.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:44 AM and 5:51 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is i in -464*i**2 - 36*i = 0?\nAnswer: -9\/116, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (2 - 24\/14)*(-4)\/((-36)\/(-21)). Which is the nearest to f?  (a) -0.001  (b) -5  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) be the third derivative of -g**5\/60 - g**4\/8 - g**3\/3 - g**2. Let k be n(-2). Solve k = -q + 6*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (20\/8)\/((-5)\/(-12)). Let z(g) = g**3 - 5*g**2 - 5*g - 4. Calculate the least common multiple of 3 and z(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**(-2\/5))**(-1\/3))**(-2)*m\/m**2*m\/(m*m\/(m*m\/(m**(-3\/4)\/m)))*(m**5\/m)\/m**(-5) assuming m is positive.\nAnswer: m**(629\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = 62*u**3 + 4*u**2 - 2*u + 2. Let o be c(3). Is (-3 + 8 + -2)*o\/3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h = 2*k + 10, -h + 4*k - 11 = -k for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -2.735 to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(84)\/(sqrt(24)\/(sqrt(2)*-2)) - (-2 + sqrt(448) + sqrt(448) + -1).\nAnswer: -18*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -9826\/13 + 2\/13*m**3 + 1734\/13*m - 102\/13*m**2.\nAnswer: 2*(m - 17)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u - 1 = 29. Let o be (27\/u)\/((-3)\/8). Let m = o - -21. Calculate the remainder when m is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10 + 7 - 32 + 15 + 33*g**2.\nAnswer: 33*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 299*v**2 - 182*v**2 + 342*v**2 + 213*v**2.\nAnswer: 672*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 + 3*g - 12*g + 6*g)*(-495*g + 1516*g - 522*g) to the form i*g**2 + f + z*g and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*m = 22*m + 2*s - 34329, -20616 = -3*m + 5*s. Is 16 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -56*s + 30 = -61*s for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = 11. Let a(r) = -r + 7. Let c(i) = 5*a(i) - 4*l(i). Give c(4).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 64.8 - 71. Let g = -6 - d. What is the smallest value in -1\/6, g, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1542\/(-1285)*(-10)\/(-14))\/((-544)\/(-56))?\nAnswer: -3\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find l, given that 4*l**2 + 18072*l + 36128 = 0.\nAnswer: -4516, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -249013\/46 - -5413. Does r = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:18 PM and 3:18 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + v + 0 = -1, -40 = -5*k - 2*v. Let y be 70\/17 + 10\/(-85). What is the third derivative of -k*j**4 - 11*j**2 - y*j + 4*j wrt j?\nAnswer: -144*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 67736*s**2 - 2*s - 2655251.\nAnswer: 135472*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 7418 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = h + 3. Let a be t(0). Suppose d + a = 9. Suppose 25 = i + d. Does 7 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 + 2375*l**2 + 27445*l - 54882*l + 27439*l to the form n*l**2 + q + r*l and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -1 + 4 - 7*u + 2*u - 5. Let a(t) = 4*t + 1. Let s(q) = -3*a(q) - 2*g(q). What is the derivative of s(d) wrt d?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -17487\/14378 - -2\/1027. Let v = 170601\/3922 - -3\/1961. Calculate the common denominator of q and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kk when two letters picked without replacement from akkka?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 54486 and 117?\nAnswer: 708318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -3*c - 6. Let s(v) = 9*v**3 + 2*v - 2. What is the units digit of s(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 189 - 189 + 3*x + x + x + 0*x + 2*x - x + x + (-2*x + 0*x + x)*(-4 + 2 + 3) + x + 2*x - x + x + 3 - 3 - 3*x + 3*x - 4*x.\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -100010 - 1101101110001?\nAnswer: -1101110010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.79046887 rounded to two decimal places?\nAnswer: 8.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -110422312 (base 7) to base 5\nAnswer: -3201124331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10\/(860\/1974) - (781 - 758).\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -d**3 + 5*d**2 - 3*d + 1. Let u be l(3). Let k be (144\/(-4))\/(4\/u). Round k to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -32*b + 47 + 569 = -340*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:54 AM and 1:46 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 41608372 to the nearest integer?\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 237*h + 93*h + 70*h + 143*h + 229*h.\nAnswer: 772*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 6*v**3 + 14*v**2 - 3*v - 8. Let y(p) = -11*p**3 - 25*p**2 + 5*p + 14. Give -4*y(x) - 7*z(x).\nAnswer: 2*x**3 + 2*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pub when three letters picked without replacement from zbizbpbbuibbbipzzib?\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.13565 minus 1546023?\nAnswer: -1546022.86435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*z + 3*n + 8, -2*n = -5*z + 18780 - 18777 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 23237749?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = 33925*x + 2171191. Determine m(-64).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 597 minutes before 7:51 AM?\nAnswer: 9:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 3*s + 1. Let r be k(1). Let u(c) = 2*c**2 + 7*c + 4. Let f be u(-8). Suppose r*q - f = -0*q. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -390 or -386?\nAnswer: -386","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*d - d - 4*d)*(4*d - 3*d + 2*d) to n*d**2 + w*d + s and give n.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 2931121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 341, 326, 297, 248, 173, 66?\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -207, -1095, -3483, -8121, -15759, -27147?\nAnswer: -43035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 65, 77, 103, 149, 221, 325, 467, 653?\nAnswer: 889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:25 AM and 2:39 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 163164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -1*4\/14 - (-520)\/56. Let l(j) = 164 + 6*j**2 - 158 - 5*j**2 + p*j. Calculate l(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -46 = -3*v + 4*m, 1 = -m - 0. Suppose -4*c = -6*f + 9*f + 4, 12 = -3*f. What is the greatest common divisor of v and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 51230 and 25615?\nAnswer: 51230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find t such that t**3\/3 + 3*t**2 + 23*t\/3 + 5 = 0.\nAnswer: -5, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -1, 4, 584, -3, 25\/4, 3, -2\/17?\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3391142 is divided by 439.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -11229 + 11516. Calculate the remainder when 637 is divided by i.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*w - 3*w + 6 = n, -2*n + 5*w = -11. Suppose 0 = 4*d - 1 - n. Solve q + d = 4*j - 9, -10 = -2*q - 2*j for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*g**5\/3 - 176*g**4 + 354*g**3 - 532*g**2\/3 = 0.\nAnswer: -266, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*u**3 - 2*u**3 + 2*u**3)*(-5*u + 6*u - 4*u)*(5*u - 2*u + 0*u).\nAnswer: 18*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o - 4 = 4*b + 4, -o = 3*b + 5. Let f be 0 - (-4 + (5 - o)). Calculate the remainder when f\/12 + 362\/8 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 4*s + s + 3*s + 68 + 32. Let y be m(-9). Solve -j - 2*k + y = 3*k, -j + 4*k - 17 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -103\/120 and (-91)\/96 + (-26)\/(-52)?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j - 1 = -2*z, -z + 4*z = -2*j - 8. Sort j, -5, 5\/3 in ascending order.\nAnswer: -5, j, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-3)\/6 - (-44)\/8. Suppose -4*b + i + 3 = -3, x*i - 18 = -4*b. Suppose -29 = -b*v + 43. Calculate the greatest common divisor of 9 and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2\/(1 - (-21)\/(-27)). What is the highest common divisor of n and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 14 and 29376102?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.0046 or 43\/4?\nAnswer: -0.0046","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) -4  (b) -5861607  (c) 0.5  (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1817?\nAnswer: 23, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (4 + sqrt(98) + -1 + sqrt(98) + -1 + 1)**2.\nAnswer: 84*sqrt(2) + 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1286824372 a multiple of 428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = x**2 - 525*x - 283255. Calculate a(-331).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1298*g + 1302*g + 170 = -2*z, -2*z - 514 = 12*g for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 882832 (base 12) to base 14.\nAnswer: 40386a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + 4*s = s + 6, 3*m - 8 = -4*s. Solve -u + 10 = -3*g - m, 5*u + 2*g = -1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -t**2 + t + 4. Let g be p(0). Let u = 260.5 + -261. Let b = 1 - 2. What is the nearest to b in u, 1, g?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hilililhhhh. What is prob of picking 1 i, 1 l, and 2 h?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 296550344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*b**2 + 4*b**2 - 3*b**2 - 2*b**2 + 3*b**2 - 1649*b to g + n*b + t*b**2 and give n.\nAnswer: -1649","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*a + 33 + 63. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -32*x**2 + 1. Let q(o) = -2263*o + 758*o + 749*o + 760*o. Give q(c(u)).\nAnswer: -128*u**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 times -0.5?\nAnswer: -5.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) be the third derivative of -h**5\/30 - h**4\/24 - h**3\/6 + 2*h**2. Let c be (-8)\/16*(3 + -1). What is q(c)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -8*x - 75*x**2 + 100 - x - 4*x + 5*x**4 - 8*x - 10*x**3 + x.\nAnswer: 5*(x - 5)*(x - 1)*(x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = -4*c - g, 4*g - g + 6 = 0. Let s = 112399 + -786790\/7. Put 2, s, c, -1 in decreasing order.\nAnswer: 2, s, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 247443 and 24.\nAnswer: 1979544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -12\/931 + 1922\/4655. Let b be (-6)\/4*(1 + 1). Let f = b + 6. Put f, 0, -1\/5, j in descending order.\nAnswer: f, j, 0, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*a**2 - 293*a + 64*a**3 + 2 + 3 - 3 wrt a?\nAnswer: 384*a + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 3\/50, 0.3, -105, -2, 2 in descending order.\nAnswer: 2, 0.3, 3\/50, -2, -4, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vvzzrdznvzvyzznv. Give prob of sequence dnr.\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*f + 0*f + 2*f**2 + 5*f)*(2*f - 1 + 1) - f**3 - f**3 + 0*f**3 to y + p*f + d*f**3 + n*f**2 and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -382.06685 plus 723507?\nAnswer: 723124.93315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 12 = 4. Suppose c*i = 4*o - 6*o - 6, -2*i - 9 = -o. Let t = o - -5. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 5.604 and 5?\nAnswer: 28.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 73 + -65. Let q(s) be the first derivative of 2 + 2\/3*s**3 - 4*s**2 + k*s. Factor q(l).\nAnswer: 2*(l - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-4 - 36\/(-4))*1. Solve -3*y - g = 2*o, y + 5 = 4*o - 3*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 42.5788428 rounded to one dp?\nAnswer: 42.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-28)\/(-35))\/(6\/625). Let o = 84 - n. What is the smallest value in o, -1\/7, 0.1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 520 minutes after 3:30 PM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*o**5 + 4*o**5 - 4*o**5 + (-3*o**2 - 4*o**2 + 6*o**2)*(3*o**2 + 2*o**3 - 3*o**2) + 3*o**5 - o - o - o**5.\nAnswer: -2*o**5 - 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (542*j + 407*j + 286*j)*(2*j**2 - 5*j**2 + 2*j**2).\nAnswer: -1235*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 625 minutes after 4:18 AM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-110)\/(20\/(-17360)*14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.2  (b) 2854  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*b**2 - 2*b**2 - b**2 + (-3*b + 2*b + 0*b)*(3 + b - 3) + 2358 - 2358 + 58*b**2 to l*b**2 + t + p*b and give l.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*v - 42 = 6. Let w be (6\/v)\/(15\/40). Suppose 9 = s - 2*z, -5*s + 87 = 2*z + w*z. Solve s = -h - 2*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -4*n**2 - 254*n + 179. What is the remainder when t(-64) is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 33 - 63. Suppose 4*p + 136 = -128. Let g = q - p. Does 12 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 1, 4, -31, -6 in decreasing order.\nAnswer: 4, 1, -2, -6, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a**2 - 580*a - 42050 = 0. What is a?\nAnswer: -145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 372\/11 - 34. Let k = 0.1 + -1.1. Let n = k + 1.1. Is m >= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -98085 to the nearest 1000.\nAnswer: -98000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-3369)\/45 + -2 - -4. Let j = q + 73. Suppose 28*c - 21*c = -7. Is c greater than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -7*h*q**4 - 108*h*q**3 + 2*h*q**2 - 1351*h - 698*q**4 + 39*q**2 + 2 wrt q?\nAnswer: -168*h*q - 648*h - 16752*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 19c4c72 + -4?\nAnswer: 19c4c6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2fecbd (base 16) to base 9.\nAnswer: -5816324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = h**3 + 5*h**2 - 5*h. Let w be m(-6). Suppose -29*f = -31*f + 6. What is the units digit of -2*f\/4*w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3051 - -3601. Calculate the greatest common divisor of 350 and h.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -135\/55097 or -1?\nAnswer: -135\/55097","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15656 divided by 152.\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -491, -999, -1507?\n\"Answer: -508*u + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -2*v**3 + 31*v**2 + 17*v - 9. Suppose -44 = -4*p - a + 16, -3*a = -4*p + 76. What is g(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*u**4 - 54*u**3 - 436*u**2 - 960*u - 576.\nAnswer: -2*(u + 1)*(u + 2)*(u + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in nine tenths of a century?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {l: 1, m: 2, x: 1, p: 2, w: 2, r: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 58 is divided by 33.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*u**2 + 0*u**2 + 2*u**2)*(-3*u**3 + 0*u**3 + 4*u**3).\nAnswer: 2*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**(-2\/49)*w*w**(2\/13)*(w\/((w**(-2\/9)*w)\/w))\/w**16 assuming w is positive.\nAnswer: w**(-78340\/5733)","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: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1*3*4\/84.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 5 + -3 + 1*-2. Suppose 4*j - j - 24 = l. Is 5 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 25.9 - 27.9. Which is the biggest value?  (a) 2  (b) 0.06  (c) u  (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3115017*u**3 - 3115420*u**3 + 6230466*u**3.\nAnswer: 29*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve m**4 - 51*m**3 + 99*m**2 - 49*m = 0.\nAnswer: 0, 1, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 626.\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + 5*s - 67 = 0, 19*s - 59 = 3*i + 17*s. Which is the third biggest value?  (a) i  (b) 3\/13  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 499 * 6.1757.\nAnswer: 3081.6743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 61779?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = q + 1. Let s(r) = 2*r - 14. Let k(o) = p(o) - s(o). Let z be k(10). Suppose -2*a - 2*w + z = -67, 2*a - 79 = 5*w. List the prime factors of a.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 14.55997ng to milligrams.\nAnswer: 0.00001455997","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 154 minutes before 3:17 PM?\nAnswer: 12:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*w - 14 = -w. Let y be (((-2)\/4)\/1)\/(w\/(-8)). Suppose 0 = 3*s - 9. Solve 0 = s*b + 1 + y for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2637 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:53 AM and 3:02 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 48, 100, 168, 258, 376, 528, 720, 958?\nAnswer: 1248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 33 (base 6) to base 14\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -6122, -12237, -18354, -24473, -30594, -36717?\n\"Answer: -l**2 - 6112*l - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express z - z + 3 + 10*z in the form h*z + s and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*f + 1 - 2*f + 10*f**3 + 2*f + 4*f**3 to the form x*f**2 + z*f**3 + c*f + w and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4967060 by 70.\nAnswer: -70958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 51 and 901?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.1 and -19.575338?\nAnswer: 19.475338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*r - 22*r**2 + 25*r**2 - 12*r.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -94, -145, -182, -211, -238, -269, -310, -367?\n\"Answer: -f**3 + 13*f**2 - 83*f - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 5*x - 46 = 0, 5*x = 3*h - 80 - 108. 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 nineteen quarters of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3309 = -11*k - 3298. What is the remainder when ((-3)\/(-6) + 0)*2 is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is 727773374 to the power of 1\/2, to the nearest integer?\nAnswer: 26977","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = z - 10. Let p be n(14). Let j(x) = -5*x + 3*x - x**2 + 5*x + p - 7. Determine j(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 728009 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -3*l**3 + 4*l + 3. Let p be v(-2). Suppose 3 = d - t, p = 5*d - 4*t + 3. 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 o = 5461 - 5412.933. What is o rounded to one decimal place?\nAnswer: 48.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 54.5762248 less than 22?\nAnswer: -32.5762248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = 416*g + 339. Does 3 divide b(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (sqrt(832) - (sqrt(832) - (-3 + sqrt(832))))*-5.\nAnswer: -40*sqrt(13) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -92.1 - -93.3. Let l = 6.2 - z. Let k = -5.11 + 0.11. Which is the smallest value?  (a) k  (b) l  (c) 3  (d) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when -7*(3 - 2)\/(3\/(-21)) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 64, -1.1, 0.1, -1\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 0 + 51376?\nAnswer: 51376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t**3 + 2540*t**2 + 100076*t + 190000 = 0. What is t?\nAnswer: -2500, -38, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4622 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -5*j**2 + 2*j - 4. Let p = -1 - -3. Let c(w) = w**2 - w - 2. Let n(b) = p*c(b) - h(b). Let m(r) = 14*r**2 - 7*r. Calculate -4*m(o) + 7*n(o).\nAnswer: -7*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -a**3 - 251436046*a**2 + 251436046*a**2.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -35, -70, -103, -134, -163, -190?\n\"Answer: o**2 - 38*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -l**3 - 20*l**2 + 125*l - 9. Let g be f(-25). Let c(v) = v**2 + 10*v + 13. Let h be c(g). Solve -h = 6*i + 20 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/4?  (a) 0.2  (b) -0.1  (c) 147  (d) -711  (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*f + 30 = 2*f. Let o(r) = r**3 + 6*r**2 + r + 8. Calculate the remainder when 54 is divided by o(f).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -s**2 - 57*s - 31. Is p(-17) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20646 is divided by 232.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 0.4*-0.144\nAnswer: -0.0576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 69, -0.1, 1\/5, -1\/5, -2, 54?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-2)\/4*2*-3. Suppose 3*s = -4*l + 7, -4*l + j*s = -2*l + 1. Solve -i + 6 = l for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from ntfapfvfttafpnpvnaf.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0106885 rounded to four decimal places?\nAnswer: 0.0107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(405) - sqrt(60)\/sqrt(48) - 3*sqrt(25)\/sqrt(5)*2)**2.\nAnswer: 4805\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 0\/2 + 1 + 4. Let c = -19 + 11. Let q be c\/(-6)*1\/2. What is the closest to 0.1 in q, 1, j?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*a + 3*a - 3*a)*(a**3 + 0*a**3 - 2*a**3)*(-13*a + 20*a + 13*a).\nAnswer: 40*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide (69 + -66)\/(-1 - 31\/(-28))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:55 AM and 3:39 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2)\/((-3 - -2) + 2). Let f be (h - -4) + (-2)\/(-1). Suppose 0 = -2*d + f*d - 14. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:03 PM and 5:11 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.3 and 1756670.\nAnswer: 527001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = j**3 - 9*j**2 - j + 7. Let h be g(8). Let b be 2\/(-8) + h\/(-4). Calculate the highest common divisor of b and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve c**5\/4 + 56933*c**4\/4 + 405128105*c**3\/2 - 607905670*c**2 - 1215526664*c + 1620854048 = 0 for c.\nAnswer: -28468, -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (4\/(-2))\/(8109\/425 + -27 + (-8)\/(-1))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -93 rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4232838?\nAnswer: 2, 3, 439, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 4, q: 6}. Give prob of sequence yqy.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 340 is divided by 25?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -7 - -1. Let m be -2*(0 - i)\/(-3). Suppose m*o = 10*o. Solve -2*l + o = 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -55401, -110802, -166199, -221592, -276981, -332366, -387747?\nAnswer: -443124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 17*v**2 - 66*v - 8.\nAnswer: (v - 4)*(17*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2561\/36 - -680\/9. Calculate the common denominator of 97\/14 and g.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -3 + -6a60480?\nAnswer: -6a60483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - -5 - (1 + 4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1 - 4 - (-35 + 15\/5) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -20620.00011673 + 20620. What is w rounded to 5 decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 988 (base 11) in base 4?\nAnswer: 102201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -44.0622 + -0.2578. Let t = 0.68 - z. Let l = t + -45.0102. Round l to three decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 312 and 120.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 17, -1, 7\/3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 3977979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = 26*q**2 - 184*q**2 + 26*q**2. Let v(c) = -10*c**2 - c + c + 8*c**2. Give v(o(i)).\nAnswer: -34848*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -u**2 + 8*u - 7. Let z be c(5). Let s be (-6)\/(-4)*z\/3. Differentiate -s + 3 + 4 - y**2 wrt y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*l**3 + 350*l - l**2 + 6*l**4 - 350*l.\nAnswer: l**2*(l + 1)*(6*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -38 - -42. Put 2\/17, -2, u, -4 in descending order.\nAnswer: u, 2\/17, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -15 by 129.\nAnswer: -5\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 44*n = -40543 + 40763, -2*t - 5*n + 41 = -6*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4641 is divided by 909.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) be the second derivative of 13*j**7\/21 + 5*j**4\/6 + 31*j. Find the third derivative of k(f) wrt f.\nAnswer: 1560*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 102\/98532*-21 - 14067\/414\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 9\/15 + (-92)\/220. Which is smaller: g or 0.4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1037, 1014, 939, 788, 537?\nAnswer: 162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -1405, -1306, -1207, -1108?\n\"Answer: 99*u - 1504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 0.00681823*-0.49\nAnswer: -0.0033409327","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 - 10) + (-41 - -66 - 9).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*o - 420 + 430 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put -4220, 2\/3, 3, 13 in decreasing order.\nAnswer: 13, 3, 2\/3, -4220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -55\/6  (b) 0.011  (c) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (12\/34)\/(-3) + 1470\/357. Let w be 3 + (-584)\/160 + j\/10. Put 2\/25, w, 2 in decreasing order.\nAnswer: 2, 2\/25, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 610 and 15702.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 0*c + 5*c + 17 = 0, 0 = -4*q - 2*c + 178. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1387 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bbnnionnbbbounn. What is prob of picking 2 o?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 1 q when two letters picked without replacement from {w: 4, d: 1, o: 6, q: 7}?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-12 - (-10 + 14)) + 41 + -11.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/12*(-312)\/(-78).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (18\/(-4))\/((-10)\/4). What is the smallest value in 0, 0.3, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 258699338?\nAnswer: 2, 37, 1487, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15038173 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1303249.\nAnswer: 23, 56663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 2*a + 204 = 0, k + a - 15 = 39. Let v = 0 - -2. Suppose 32 = z + 3*d, -z - v*d = -2*z + k. Is z a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-4\/9))**(-1\/12) assuming k is positive.\nAnswer: k**(1\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 302 minutes after 3:38 PM?\nAnswer: 8:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = k**3 - 3*k**2 - 5*k + 4. Let v be q(4). Suppose 5*j - 145 = 15. Suppose -5*m + 10 = 0, -4*m = 4*f - 16 - j. Solve -2*y = -v*y + f for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5 + 8 - 19 + 6 + 7821*d to f*d + w and give f.\nAnswer: 7821","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Do -172 and -6 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -53  (b) 3  (c) 323\/4  (d) -0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 351 and 78.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -107\/36451978 and 149\/282.\nAnswer: 109355934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 2*f = -3*i + 49, 0 = i - f - 43. What is the greatest common factor of 9 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = 4*j. Let b(l) = 225*l - 225*l - 4*l**2. What is q(b(d))?\nAnswer: -16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 1 + 16)*(3 - 4 + 2)*((2 + 0 - 1)*(3*x - 2*x + x) + 5*x - x - 2*x).\nAnswer: 72*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -308, -5, -121, -3 in decreasing order.\nAnswer: -2, -3, -5, -121, -308","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0\/((10\/(-1))\/(-5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 19*f + 13. Let x = 37 + -31. Let b(r) = -3*r - 2. Let y(v) = x*z(v) + 39*b(v). What is the least common multiple of y(-2) and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -14.888 + 15.1. Let v = n - 2.212. What is the third smallest value in 1\/4, 0.118, -1\/2, v?\nAnswer: 0.118","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 2*a**3 + 2*a**2 - 3*a - 26. Let q be y(8). Let d = 1563 - q. List the prime factors of d.\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 116 and 25069949?\nAnswer: 100279796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 1329, 4201, 8651, 14679, 22285, 31469, 42231?\n\"Answer: 789*l**2 + 505*l + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 4, o: 2, f: 1}. Give prob of picking 3 b and 1 o.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1 + (-38)\/(-4))\/((-6)\/(-96)) a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3330300321 (base 4) to base 9.\nAnswer: 1847166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 58*b + 0 - 16 + 12*b + 15*b + 46*b.\nAnswer: 131*b - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 23520?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (618\/(-24) + 2)\/(2\/(-32)). Suppose -2*i = -2*l - c, 182 = i - 0*i - 3*l. List the prime factors of i.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-2)\/v**(2\/7))**(-24)*v**(-1)\/v**4*(v**1)**30 assuming v is positive.\nAnswer: v**(559\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -2*f**2 - f + 1. Let x(p) = -245*p**2 + 3*p + 195. Let g(c) = -6*w(c) - 2*x(c). What is the first derivative of g(z) wrt z?\nAnswer: 1004*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5*-1.469.\nAnswer: -7.345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.08, 2, 6\/5, -1\/31, -26\/7?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.5 + -0.6. Let l = u - -0.0999988. What is l rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*s = -3*u + 13*s - 18, 4*u = -2*s - 26 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Do -72 and 53 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*d**3 + 159510*d**2 + 13220049*d + 73578582.\nAnswer: 3*(d + 6)*(d + 77)*(d + 53087)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 22.2 and -4.17?\nAnswer: -92.574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a and 1 r when two letters picked without replacement from vaamrvrrmvvrr?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = 2*z**2 - 2*z + 3. Let h be i(3). Suppose -3*w + h - 3 = 0. Differentiate -w*k**2 + 9*k - 5*k - 5 - 4*k wrt k.\nAnswer: -8*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -52*x - 132*x**3 - 130*x**3 + 272*x**3 + 52*x.\nAnswer: 10*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -119*l = -112*l - 1351. Let w = 195 - l. Calculate the highest common factor of w and 86.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -2 - 1460?\nAnswer: -1462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + (-5 - -13 - (3 - -3)) + 5.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 2*d**3 + 32*d**2 - 33*d + 47. Let t be c(-17). Solve 48*l - t = 42*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*p - 8*p + 28 = -5*a, 4*a + 8 = -2*p. Solve y = -p*f + 15, 2*f + 2*y - 13 = -1 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2 + -4 + 13\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 8\/18*(-18)\/(-4). Suppose b*k - 3*k + 18 = 0. Suppose p = k - 0. Is p a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 11, 0.4, 12, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -a = a + t + 9, -25 = 4*a - 5*t for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -p**3 + p**3 + 2*p**3 + (2 - p - 2)*(-p**2 + 5*p**2 + 0*p**2).\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 364  (b) -3  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 253 minutes before 12:19 AM?\nAnswer: 8:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (10\/(-12))\/((-8)\/48)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*p + 83*p - 23*p - 22*p.\nAnswer: 26*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -248, -492, -736, -980?\n\"Answer: -244*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -268, -509, -910, -1471, -2192, -3073?\nAnswer: -4114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2758345 centuries in years?\nAnswer: 27.58345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2947\/456 - -122\/19. Let m = -1726 - -41407\/24. Let l = m - z. Which is the closest to -3?  (a) 2  (b) -3  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 18 and 6066?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) be the first derivative of -1\/6*i**4 + 0*i**2 - 3 - 5*i + 0*i**3. Let m(w) be the first derivative of k(w). Let b(s) = -2*s. What is b(m(o))?\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -5*p**2 - p + 1. Let g be v(1). Let q = -3 - g. Solve -3*l + q*w + 2 = w, -l - 2*w = -10 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dkdkkdkkdk. Give prob of picking 2 k.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = g**2 + 10*g - 8. Let t = -687 - -689. Let b be x(t). What is the greatest common factor of b and 184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -2 - -650551?\nAnswer: 650547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (9*(-2)\/18)\/((-1)\/(-5)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**1)**44*(h*(h*(h\/((h**(-2\/7)\/h)\/h*h))\/h)\/h)\/h**2)\/((h**(-2)\/h)**(-9)*(h*h**(1\/14)*h)\/h**(1\/3)) assuming h is positive.\nAnswer: h**(653\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -502191*o**6 + 6744*o**2 - 78*o.\nAnswer: -60262920*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 918?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 6\/(-21)*(-154)\/66\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*s - 54 = 25*s. Let d(l) be the second derivative of -l**4\/24 - 5*l**3\/6 - 4*l**2 + 7*l. Let f(v) be the first derivative of d(v). What is f(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -242266 and -242286 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1136 or -23876\/21?\nAnswer: -23876\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.1754 and 40678?\nAnswer: 7134.9212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 678.6135 litres in millilitres?\nAnswer: 678613.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 359 minutes before 5:28 PM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 167 minutes before 1:11 PM?\nAnswer: 10:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-12)\/(-5) + 4\/(-10). Let x(v) = 4*v**2 - v**3 - 5 + 2*v + 2*v**3 + z. Let p = -60 + 57. What is x(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = 8*w**2 + 2*w**3 + 5 - 5*w**3 + w - 7*w. Suppose 0 = -3*v + 10 + 14. Let q = v + -5. Let u(h) = -h**3 + 3*h**2 - 2*h + 2. Give q*n(t) - 8*u(t).\nAnswer: -t**3 - 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1228, 2568, 4006, 5536, 7152, 8848, 10618, 12456?\nAnswer: 14356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -71650 + -6931?\nAnswer: -78581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -d**3 + 25*d**2 + 113*d + 141. Calculate t(29).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Determine s so that 5*s**2 - 166250*s + 232218645 = 0.\nAnswer: 1461, 31789","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.1 - 0.3. Let y = -27.95 - -28.1. Let v = f + y. What is v rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -10*l**2 - 5*l + 8. Let a(w) = -w**2 + 1. Let g(v) = -6*a(v) + u(v). Let z(t) = -3*t**2 - 4*t + 2. Determine -4*g(s) + 5*z(s).\nAnswer: s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0022625532 to seven dps.\nAnswer: -0.0022626","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from cckceekce. What is prob of sequence ckke?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 10 - 6. Let u = -0.43 - -0.03. Which is the closest to 2\/7?  (a) u  (b) w  (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 191\/462 and 3*4 - 24734\/2235.\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (6 + -7 + -1 - 5 - 27) + -12\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = z + 3*t + 1, -5*z - 17 = -t - 12 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 6*d**3*g**4 - 2*d**3*g**2 - 2*d**2*g**2 - 23*d**2*g - 4*d*g**4 - 58*d*g - 2505*g**4 + 27 wrt g?\nAnswer: 144*d**3*g - 96*d*g - 60120*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 5.46185 - 0.42845. Round b to two dps.\nAnswer: 5.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 4, g: 6}. Give prob of sequence sss.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is -4175448 bigger than -4175457?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 1 + 2)*(3*l + 3*l + 2 - 3*l).\nAnswer: -6*l - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 times 68691?\nAnswer: 68691","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 2*g + 2*g + g + g. Let u(v) be the first derivative of 25*v**2\/2 - 3785. Calculate u(d(y)).\nAnswer: 150*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 53\/210 and -18\/193025?\nAnswer: 1158150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*a - 22*a = 0. Suppose -4*w + 2*w + 2 = a. Solve -s = 2 + w for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.32 - -0.38. Which is the closest to -0.1?  (a) 2\/7  (b) q  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -1\/7  (b) 18  (c) 259.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*j - 4*c = -3*c + 40, 0 = -j - 5*c - 20 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1227 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 3*r**3 + 2*r**2 - 2*r + 1. Let o be c(1). Suppose 0 = -5*y - o - 1. Let f be (-1)\/(1 - (-16)\/(-20)) + 1. Put -3, f, y in increasing order.\nAnswer: f, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 8485 divide 649492810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 12643?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -3600.65 rounded to the nearest ten?\nAnswer: -3600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -l**2 + 5*l - 7. Suppose 2*j + 72 = -84. Let r = j + 83. What is t(r)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 4702 - 6732. Let h = q + 2029.9899995. Let n = -0.01 - h. Round n to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is v in -1\/10*v**2 - 121\/10*v - 12 = 0?\nAnswer: -120, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zzblzzzzoozolllzjz. Give prob of picking 1 b, 2 o, and 1 j.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 523746?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 302062?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ssjg when four letters picked without replacement from {j: 1, d: 1, g: 6, v: 4, s: 3}.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8 - 16 - 2*r**3 - 8 - 4 + 25 + r**2.\nAnswer: -2*r**3 + r**2 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20298 - 15*a**2 + 17*a**2 + 20298.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7448 = 2*u + w, 3*u - 15253 + 4095 = 2*w. List the prime factors of u.\nAnswer: 2, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2.78 + -0.52. Let a = -151.26 + s. Let k = -165.1 - a. Round k to the nearest integer.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(3 + sqrt(306)\/sqrt(2) + sqrt(153) + -2 + -2*(-3 + sqrt(612) - sqrt(612))))**2*-6.\nAnswer: -15864 - 2016*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*y = 39 + 41. Let x be (-62)\/y + 5\/(-25). Let r(d) = d**3 - 5*d**2 - 6*d. Let l be r(x). Solve 2*a + 2 = -l for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-45 - -1) + (-6057 - -6135).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.08742 or -3939?\nAnswer: -3939","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 31\/46 + 4231\/138. Factor 1\/3*q**4 + 75 + 80*q + 16\/3*q**3 + j*q**2.\nAnswer: (q + 3)**2*(q + 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19803098842 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 22*f**3 + 41*f**2 + 8*f + 5. Calculate the remainder when 215 is divided by u(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 23 - 28. Which is the third smallest value?  (a) u  (b) -2\/9  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 33 = 3*l + 8*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-1\/4)\/(j\/((j*j**(-2)*j*j)\/j)))\/(j*j**4*j**0)*(((((j*j\/(j*j**(-3))*j)\/j)\/j)\/j)\/((j*j**(-7)*j)\/j*j))**(-5\/16) assuming j is positive.\nAnswer: j**(-135\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 7*a**2 - 11*a. Let k(j) = -14*j**2 + 23*j. Let b(u) = -6*k(u) - 13*y(u). What is the second derivative of b(q) wrt q?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 31863573?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -2*k**3 - 9*k**2 + 2*k - 8. Suppose -5*w + 2*d = -55, -3*w - 5*d = -5 + 3. Let s = w - 16. Is f(s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**1*v*v\/(v**(2\/3)*v)*v)**(-2\/29))**22 assuming v is positive.\nAnswer: v**(-308\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(416) + (sqrt(286) - sqrt(286)*-2)\/sqrt(11))\/((-1*(sqrt(200) + 2*sqrt(200) + sqrt(200)) - sqrt(200))\/sqrt(4)).\nAnswer: -7*sqrt(13)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -265901.9807 rounded to the nearest 10000?\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 103518 or 103520?\nAnswer: 103518","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2071 (base 15) to base 10.\nAnswer: -6856","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 611854265.4 to the nearest one million.\nAnswer: 612000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) be the first derivative of 16*j**3 + 2*j**2 - 30*j + 185. What is the second derivative of w(l) wrt l?\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - 6 = 2*q - c, 0 = -2*q - 5*c + 12. Let i(v) be the first derivative of -5*v**2 + 2 + 7 + q + 0. Let w(k) = 2*k**2. Give i(w(d)).\nAnswer: -20*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) be the second derivative of -5*b**3\/6 - b. Let m(s) = -s**2 + 0*s**2 + s**2 + 2*s**2. What is m(l(z))?\nAnswer: 50*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 9800 and 48?\nAnswer: 58800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -5*i**3 + 5*i**2 - 7*i - 11. Calculate c(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-1 - 2)*(-8)\/(-3). Is -8 at least f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 108\/4*-1*-1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -f**3 + 10*f**2 + 9*f + 30. Let s be o(11). Let l(m) be the second derivative of 0 + s*m - 1\/3*m**3 - 1\/12*m**4 - 1\/2*m**2. Factor l(r).\nAnswer: -(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 4) to base 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25 = 5*g, 0 = 3*t + 2*t + 4*g for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 298 minutes before 11:16 PM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5448 by -1816.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c = c. Suppose -j + 3*j + 2*p = 0, p + 4 = c. Suppose 0*x + j = 4*x. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/(-16)*12 + 7 + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -h**2 + 2*h. Let b be n(2). Suppose 303 = -23*q + 165 + 161. Sort -5, q, b, -9.\nAnswer: -9, -5, b, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from hppphphfzmhhzhz.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -22*f + f - 6*f in the form s*f + w and give s.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -159*b - 6020. Is l(-76) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 13\/31888764 and 83\/78660.\nAnswer: 159443820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (4\/27)\/(56\/252). Factor h*m**3 + 0 + 1\/3*m**2 + 0*m + 1\/3*m**4.\nAnswer: m**2*(m + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 174 and 2088?\nAnswer: 2088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) be the first derivative of q**4\/5 - 7*q**3\/15 + q**2\/5 + q\/5 - 10. What is w in x(w) = 0?\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2241400 to the power of 1\/3, to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 322 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (1 + 0)\/(2\/(-4)). Let m = 0 - h. Let q(n) = 5*n**2 - 1. Is q(m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 2100139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2234 - 2197. Calculate the remainder when 155 is divided by f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -5 - 2143156?\nAnswer: -2143163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3902*a**3*z**3 + 19*a**2*z**3 + 19*a*z**3 + 92*a*z**2 + a - 649*z**3 - z**2 wrt a?\nAnswer: -23412*a*z**3 + 38*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 58195.91um to centimeters.\nAnswer: 5.819591","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h - 2*j = -235, -4*h + 2*j - 6*j = -932. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 181 + -178. Calculate the remainder when 13 is divided by g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -4*g**2 + 3*g. Let a(x) be the third derivative of -4*x + 7*x**2 + 1\/12*x**4 + 0*x**3 + 0. What is u(a(i))?\nAnswer: -16*i**2 + 6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 669 - 629. What is the smallest common multiple of 2\/(-3) + 34\/6 and w?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 5127 + 4?\nAnswer: 5132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) be the first derivative of -u**6\/3 + 33*u**4\/2 + 179*u**2\/2 + 192. Find the second derivative of z(p) wrt p.\nAnswer: -40*p**3 + 396*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1402 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -n**2 - 7*n - 5. Let j be o(-5). Suppose -8 = -2*z, -j*z - 40 = -5*p + 15. Is 15 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 85*c**2*s - 17*c**2 + c + 1512*s wrt c?\nAnswer: 170*s - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 325 and 6070.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*n + 2*p - 3 = 1 - 1, 8*n + 3*n = 7*p + 18 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 9365792*r**3\/9 + 6240976*r**2\/3 - 5770*r\/3 + 4\/9.\nAnswer: 2*(r + 2)*(2164*r - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let -l**3 + 523*l**2 + 113284*l - 2734732 = 0. Calculate l.\nAnswer: -182, 22, 683","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) be the second derivative of 2*p**5\/5 + p**4\/12 - 2*p**3\/3 - 750*p. Determine g(-2).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(2\/9)\/(x**(2\/9)\/x*x))\/(x**(2\/11)\/(x*(x*x**5)\/x*x)) assuming x is positive.\nAnswer: x**(75\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) be the first derivative of 5\/2*c**2 + 10 - 2*c + c**3. Let u(r) = 0. Calculate r.\nAnswer: -2, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 209608 and 2399460.\nAnswer: 91179480","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p = -2*r + 3546 + 127, 3*r - 5522 = 5*p. List the prime factors of r.\nAnswer: 3, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 15021?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1100001010100 - 10?\nAnswer: -1100001010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -5 + 10. Suppose r - 611 = 5*i - 144, 0 = w*i + 3*r + 479. Round i to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 367 minutes before 8:42 PM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 5018*g**2 - 104*g. Let k(m) = 338*m**2 - 7*m. Let d(s) = 104*k(s) - 7*r(s). Let n(o) = -4*o**2 - 13*o. Calculate n(d(l)).\nAnswer: -2704*l**4 - 338*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6 = 2*s - 2*p - 4, -5*s = 5*p + 35 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:16 AM and 9:13 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.0271 - -0.1299. Which is smaller: 0 or u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 take away 21194544?\nAnswer: -21194542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -134 = -3*q + 202. Let t(n) = 120 - 63*n**2 + q - 205. Let g(i) = 9*i**2 - 4. What is -27*g(x) - 4*t(x)?\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 2, s: 1, e: 2, h: 2, k: 1}. What is prob of sequence ehst?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.0444072 milliseconds to nanoseconds.\nAnswer: 44407.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 291*f**3 - 957*f**3 + 675*f**3.\nAnswer: 9*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is -2998 > -119913\/40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 54 a factor of 73107846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1  (b) 2\/51  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16774?\nAnswer: 2, 8387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:00 PM and 1:22 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 458\/99 + -40\/9. Let u be 1991\/(-198) + 10 + 2\/4. Sort b, -1, u, 5 in decreasing order.\nAnswer: 5, u, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*l**(-1)*l*l**(-1)\/l)\/((l**(2\/9)\/l*l)\/(l\/((l*l**(2\/23))\/l)))*((l\/(l**(-1\/6)\/l))\/l**(2\/11))\/((l*l**(-1))\/(l**(-1\/3)\/l)) assuming l is positive.\nAnswer: l**(1559\/4554)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 51261 and 147.\nAnswer: 358827","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -7, 3, 35, 95, 189?\nAnswer: 323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -12.7618259 or -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put together -32255 and -3.06.\nAnswer: -32258.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 0 + -35 - (-138 - -4 - -145)\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 29186795?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.07 - -0.01. Let s = r - 0.32. Let h = -0.08 - s. Which is the second smallest value?  (a) h  (b) 1\/6  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1262\/((-20)\/8*4\/(-5)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2*(1 - 16\/14). Let f(k) = k**2 + 14*k - 12. Let j be f(-16). Let w = j + -25. Put y, 5, w in descending order.\nAnswer: 5, y, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c + 26 = -3*t, t + 7 = -0*c - c. Let l = 2 + 2. List the prime factors of l + 1 + t + 86.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 7, z: 2, w: 1, l: 1, t: 5, f: 1}. Give prob of picking 1 t and 1 w.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide -393164082 by 478.\nAnswer: -822519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(6)\/(-2*sqrt(2)) + sqrt(363) + -3.\nAnswer: -3 + 21*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) be the first derivative of -f**2\/2 - 7*f + 1. Suppose -2*y - y = -6. Suppose y*z = 3*z + 5. What is m(z)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 6*s**2 - 152*s. Let r(c) = c**2. Calculate p(r(x)).\nAnswer: 6*x**4 - 152*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Are -445585 and -445600 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Do 1 and 2\/114633 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1460*w + 8104 + 1289 = -6667 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1 - 3)*3\/(-3). Let i(s) = 2*s. Let f(w) = -6*w. Let c(n) = -12*n. Let z(y) = -3*c(y) + 7*f(y). Calculate m*z(h) + 11*i(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = n. Let w(t) = 270818*t**2. Determine w(v(r)).\nAnswer: 270818*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 3\/8 of a microgram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 782 and 2312?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -253 - 17044?\nAnswer: -17317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1043.9034 - -1062.903382. Let n = 42 + -61. Let w = n + j. What is w rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 8332366.999874 - 8332448. Let z = -81 - n. Round z to five decimal places.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = 2*p**2 - 17*p - 9. What is m(8)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in three fifths of a centimeter?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -b**3 - 50*b**2 + 66*b + 756. Give s(-51).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -r**3 - 13*r**2 + 4*r - 6. Is q(-14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*y**(3\/4)*y*y**(-4))\/(y**(-1\/3)\/(y\/(y**1*y)*y)) assuming y is positive.\nAnswer: y**(-11\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.083, -22, 4.\nAnswer: -22, 0.083, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zce. What is prob of sequence cez?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 6 = -2, 5*m = 3*y + 11. Let f(w) = y*w**2 - 2*w**2 - 15 + 0*w**2 + 8*w + 16. Let v be (-34)\/4 + -6 + (-65)\/(-10). Determine f(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 32368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 20*o. Let t(w) = -5*w**2 - 3. Let a(z) = 104*z**2 + 64. Let b(p) = 3*a(p) + 64*t(p). Give b(m(n)).\nAnswer: -3200*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 27*j**2 + 9*j**2 + 22*j**2 - 12*j + 45*j - 32*j to the form m*j + k + y*j**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) be the first derivative of 2*j**6 - 104*j**5\/5 + 70*j**4 - 48*j**3 - 162*j**2 + 216*j + 5578. Solve f(n) = 0.\nAnswer: -1, 2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 72336694?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*r + 0 + 0)*(-2*r + r + 0*r) - 3*r**2 + 2*r**2 - r**2 - 4*r**2 + r**2 - r**2 + 2*r**2 - 33*r**2 - 2*r**2.\nAnswer: -41*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8278 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -118 minus 714?\nAnswer: -832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*o - 23*o = 5*a - 134, -2*o + a = -110. What is the remainder when 204 is divided by o?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.4 + -0.4. Let x = -35 + 35.3. What is the nearest to -0.1 in x, d, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-2)\/3)\/((-1)\/6). What is v in 3 - 4*v**3 - v**4 + 3*v**4 + l*v - 5 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q - 107298 = -3*i, 4*i = 2*q - 0*q + 143034. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*p + 0*p - 4*p)*(-3 + 6 + 0 - 3*p).\nAnswer: 12*p**2 - 12*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 4 and 123.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Determine y, given that -2*y**4 + 7*y**3\/3 + 5*y**2\/3 - 7*y\/3 + 1\/3 = 0.\nAnswer: -1, 1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = 33*w - 395. Let d be v(12). Let r = 0.34 + -0.21. Let t = r + 0.07. Which is the closest to d?  (a) 16  (b) t  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 85*j + 9648. Give m(-113).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 18 and 18578.\nAnswer: 167202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) -17\/4  (b) -4  (c) -7\/4  (d) -2  (e) 2\/3  (f) -0.03\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -1841, -36, 4 in decreasing order.\nAnswer: 4, -3, -36, -1841","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide 711 by 79.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) be the third derivative of -1\/600*c**6 - 2\/525*c**7 + 0*c**5 + 0*c**3 + 8*c**2 + 0*c + 0*c**4 + 0. Factor t(b).\nAnswer: -b**3*(4*b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*w - 6*w + 3588. Calculate the remainder when w is divided by 72.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 6 + (14 - 3 - 536\/32). Let w be 0\/((-1 - -3) + 1). Which is the second biggest value?  (a) p  (b) w  (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 e and 2 v when four letters picked without replacement from vvvvvvvvvveev.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 115 smaller than 0.152?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 33847, 67736, 101619, 135496, 169367?\n\"Answer: -3*j**2 + 33898*j - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.5 and 635.55.\nAnswer: -317.775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2348363215?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 393 less than 4.8670171776?\nAnswer: -388.1329828224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l**2 - 36150*l - 43125736 = 0. Calculate l.\nAnswer: -1156, 37306","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2073 = -3*r - 1275. Let u = -3418\/3 - r. Let k = u - -22. What is the smallest value in k, -2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 118218, 236442, 354666, 472890, 591114?\n\"Answer: 118224*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13*-2 - 3363\/(-118).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 329 and 141?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 94310123?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -217368, -217418, -217468, -217518, -217568, -217618?\n\"Answer: -50*z - 217318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) be the second derivative of o**8\/840 - o**7\/2520 + 2*o**4\/3 - o. Let r(h) be the third derivative of q(h). What is the third derivative of r(u) wrt u?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 10 - -4. Let h(a) = a + 7. Let x be h(-11). What is the units digit of x\/14 - (-46)\/g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 divided by -163205976?\nAnswer: -1\/54401992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 1 d when two letters picked without replacement from ahdkw.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -9  (b) -1\/58383  (c) 1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1033 (base 4) in base 3?\nAnswer: 2221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 85\/3404 and -103\/23652694.\nAnswer: 47305388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Do -113074\/4885 and -24 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from irsririrrri. What is prob of sequence ssi?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 10, 1, -46, -149, -326, -595, -974?\n\"Answer: -3*o**3 - o**2 + 15*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 2*l**2 + 2*l + 1. Let v(y) = 7*y**2 + 9*y + 5. Let m(s) = -9*p(s) + 2*v(s). Let k be m(-1). Is ((-23)\/(-4))\/(k\/(-12)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 348686369 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 26.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -2, -95, -2\/7, -4\/5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*n = -n - 5. Sort -4, n, 4 in ascending order.\nAnswer: n, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1df + 1e573?\nAnswer: 1e394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 184140526, 184140522, 184140516, 184140508, 184140498, 184140486?\n\"Answer: -g**2 - g + 184140528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) be the second derivative of -1\/150*d**5 + 3\/2*d**2 + 0 - 1\/15*d**4 + 8*d - 4\/15*d**3. Let s(x) be the first derivative of b(x). Solve s(u) = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + 2*t - 128 = 2*m, 5*t = -2*m + 253. Is 18 a factor of ((m - 0) + 1)*232\/174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.45 + 0.05. Let o = 1.98 + 0.02. Let q = o - 2.3. Which is the nearest to 1\/2?  (a) q  (b) k  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 7240 - 2378. Let i(n) = n**2 - 4862 + a. Let l(b) = -4*b**2. What is l(i(d))?\nAnswer: -4*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4*q**5 - 392*q**4 - 915*q - 3*q**5 + 5*q**2 - 5*q**2 + 394*q**4 wrt q?\nAnswer: 20*q**3 + 24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -20734.135 + 20681. Let b = u + 53. What is b rounded to 2 dps?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -4, 8, -9, 2 in ascending order.\nAnswer: -9, -4, 2, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 43660182462 + -43664594384.00188. Let d = 4412029 + z. Let q = d - 107. What is q rounded to four dps?\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4 + 3*g + 4)*(-2016 - 1140 - 2781) as k*g + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -11433.16 rounded to the nearest one hundred?\nAnswer: -11400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 45*o = 20 + 25. What is the greatest common factor of o and 73?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -5*w. Let t(r) = -1324*r**2. Give z(t(s)).\nAnswer: 6620*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4079?\nAnswer: 4079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*n = -14*n + 6. Suppose y + 2*y = -3*l + 531, 0 = -n*l. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s**3 + 13409511*s**2 + 11238434902506*s - 2809609563721 = 0. What is s?\nAnswer: -1676189, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -257 > 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7934?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is ((579717\/(-54))\/421)\/(1\/2*1)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3176118 divided by -3.\nAnswer: 1058706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 22  (b) -5  (c) 0  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/59?  (a) -0.3  (b) -4  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (-10)\/65*2\/(-4)*2\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*y - 188 = 7*y + 4*v, 0 = -2*v - 6. Calculate the highest common divisor of y and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -346 = -5*x - 66. Let g(b) = 2*b**2 + 40*b - 244. Calculate the remainder when g(9) is divided by x.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 24*i. Let x = 32 - -1. Let r(h) = -3*h. Calculate x*r(u) + 4*g(u).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 636 + -611265?\nAnswer: -610326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -5 - -1. Let m be 5077\/(-130) + a\/20. Let o = 16\/65 - m. Find the common denominator of o and -45\/11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4600552321 to the power of 1\/7, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -95674\/15 - -88301\/15. Let v = x + 494. Calculate the common denominator of v and -23\/55.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3674036773?\nAnswer: 11, 41, 8146423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) be the third derivative of -d**6\/68 + 2*d**5\/255 + 5*d**4\/17 - 16*d**3\/51 + d**2 + 936*d + 2. Suppose j(w) = 0. Calculate w.\nAnswer: -2, 4\/15, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*q - 31200 = 13561. What are the prime factors of q?\nAnswer: 2633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -3  (b) 0.328  (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 34310640 divided by 312?\nAnswer: 109970","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k = -35710 + 1975. Let m = k - 1627. Is (m\/30 - -5) + 4\/10 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 7 and 924?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -27 - -49. Suppose c + c = u. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 45, 7, -47, -111, -179, -245?\n\"Answer: i**3 - 14*i**2 - 3*i + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19004*b**2 - 27*b + 27*b + 19004*b**2 + 3*b**3.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Add together -29.637960841 and 1.\nAnswer: -28.637960841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 1 p when two letters picked without replacement from ypppyxxxxpydgd?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is f372 (base 16) in base 7?\nAnswer: 346461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z - 5*s + 15 = 0, 2*s - 10 = -4*z + 2*z. Suppose -4 = 4*f - 0. Let y = z + f. Solve 5*m = -5 - y for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1903 - -1897. Let n(d) = -d - 14. Let p be n(0). What is the hundreds digit of (-2048)\/p + 3*w\/63?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/4 in -0.03, -1\/3, 3, -61?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(65) - sqrt(65)*1)*-3 + sqrt(65) - sqrt(65))\/(sqrt(405) - 2*sqrt(405)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.1537449 to 2 dps.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -12006 divided by 66\nAnswer: -2001\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 133646 a multiple of 107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 72 + -67. Suppose 9*j - p*j - 580 = 0. Is j a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -31 + 5*r**2 - 368 - 465 - 3*r**2.\nAnswer: 2*r**2 - 864","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -x + 3. Let i be m(4). Let h(d) = -59*d + 1. Let q be h(i). Let b be ((-2)\/78)\/((-8)\/q*-5). Is b >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 137 minutes before 4:40 PM?\nAnswer: 2:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-1)\/(1\/2))\/(-7). Let t = 88 + -80.6. Let g = t - 3.4. What is the closest to -0.1 in g, s, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -134060930 minus -735604?\nAnswer: -133325326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lllsllsssssllsssll. What is prob of picking 1 l and 1 s?\nAnswer: 9\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 51 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 19147399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11101 - 1000001000111000?\nAnswer: -1000001000011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eeeerrrreedre. Give prob of picking 1 e and 1 d.\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.11 minus 114807.6793912?\nAnswer: -114808.7893912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 9\/3*11\/1. Let w be 6\/(-9) + 210\/18. Suppose -2*a + f + w = 0. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wwxx when four letters picked without replacement from rrrrrrxrrxrrxuwxwrw?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 258*r - 4*w = 259*r + 11, 7*w = -3*r - 33 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-128)\/8 + (-161785)\/(-10087)?\nAnswer: 3\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 + 619*i - 2730*i - 14.\nAnswer: -2111*i - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = 5*l - 8. Suppose -9 = 15*f - 54. Let p = l + f. Is p a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -4*v - 27. Let z be m(-19). Find the common denominator of 23\/38 and (-166)\/581*(-1 - z\/(-2)).\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*n + 3*u + 3 = -n, -2*n - 33 = 5*u for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) be the third derivative of -a**4\/24 + a**3\/6 + 136*a**2. Let k = -3 - -4. Let c = k - -2. Determine u(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 6\/17 in -3\/20, -3\/5, 1.05, -0.3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 97707834?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1.78 + 0.44. Let o = f - 1.66. Let l = 1 - 2. What is the closest to 0 in l, 0.3, o?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 510 and 2448.\nAnswer: 12240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = 2*m. Suppose 25 - 106 = -3*x. Suppose -b = 0, 2*j - 3*j + 2*b = -110. Let w(t) = x*t - 27*t + j*t**2. What is i(w(v))?\nAnswer: 220*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -218.69059 rounded to the nearest integer?\nAnswer: -219","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(sqrt(95) - sqrt(95)*-1)*-1)\/((sqrt(180)*-2 - sqrt(180))\/sqrt(4)).\nAnswer: 4*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -95\/2496 and 97\/52?\nAnswer: 2496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2\/7, 5, 3, -0.3, 0, 5761, -1?\nAnswer: 5761","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(sqrt(2) + -3 + -5)*-1)**2.\nAnswer: -576*sqrt(2) + 2376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 21, 90, 85, -30, -291, -734?\nAnswer: -1395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 52 minutes after 10:34 AM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 30357034.\nAnswer: 2, 59, 257263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.5, -5, -124 in decreasing order.\nAnswer: -0.5, -5, -124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1741 - -1744. Suppose -15 = -3*r - 3. Solve 0 = -t*n + r*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1181\/35 - -639\/14. Let b be (-1)\/1 + -1 - 53. Calculate the common denominator of m and 370\/(-4)*(-3)\/b.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -5 - -2. Let k be (-3)\/(-3) - 2 - v. Which is greater: 4 or k?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) be the third derivative of 153*o**7\/14 + 1595*o**4\/12 + o**2 + 1020*o. What is the second derivative of q(n) wrt n?\nAnswer: 27540*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 3*a**2 - 19351*a - 174393. What is f(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is nineteen quarters of a micrometer in nanometers?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1 + 0 + 0\/1. Let n be 8\/20*1*5. Let j be (n - m - -18) + -1. Calculate the highest common factor of 6 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*k + 50291 = 50851. What is the remainder when 1608 is divided by k?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0 - -2. Let c = 242 - 2660\/11. Let g = 1.6 + -1.7. What is the closest to h in c, -5, g?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*i = 8*i - 4, 5*w - 2 = 3*i for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 112 is divided by 84?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*f + 5*a + 7 = 0, -568656*a - 16 = -f - 568654*a for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 266 * 0.4\nAnswer: 106.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 60031158 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:13 AM and 2:52 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -6*c*s**5 + 3*c*s**4 + c*s**2 - 8367*c*s - 40564*s**3 wrt s.\nAnswer: -360*c*s**2 + 72*c*s - 243384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 572*j**4 + 430*j wrt j.\nAnswer: 6864*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2\/131, -1.9, 6?\nAnswer: 2\/131","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((1 + 0)*-2)\/(-2). What is the units digit of 10\/g + 0\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/5?  (a) -3  (b) -4  (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*w**4 + 18*w**4 + 24*w**4 - 2*w**4 + 0*w**4 + 3*w**4 + (2*w**3 + 0*w**3 - w**3)*(-2*w - 3*w + 3*w) + (-2*w**2 - 2*w**2 + 3*w**2)*(-2*w + w**2 + 2*w).\nAnswer: 42*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 582*x**2 + 203*x + 76*x**2 + 16*x - 834*x + 2*x**3 wrt x.\nAnswer: 12*x + 1316","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 2, k: 6, o: 11}. Give prob of sequence ok.\nAnswer: 11\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from {y: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-11)\/(55\/(-30)) - 3. What is the second derivative of -3 - 10*c**4 + 2*c**5 - 9053*c**3 + 9053*c**h - 12*c wrt c?\nAnswer: 40*c**3 - 120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -2*w**3 - 641*w**2 + 355*w + 11852. Determine a(-321).\nAnswer: 938","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uuuguguuuuu. What is prob of picking 4 u?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12192994.\nAnswer: 2, 11, 43, 12889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**(6\/11)*(o\/(o**(-3\/2)*o))\/o*o*o\/(o\/o**5*o)*o*o\/(o**(2\/11)*o)*o*o*o assuming o is positive.\nAnswer: o**(217\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (15\/(-20))\/((-30)\/(-24)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2558334681 rounded to 5 decimal places?\nAnswer: -0.25583","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 103642369 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (-13)\/195*(-825)\/25*(-5)\/8\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -323 + 320. Put 2\/7, 2, -1, p in increasing order.\nAnswer: p, -1, 2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = d + 28 - 33 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 616 minutes before 5:32 PM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z - t - 20 - 10 = 0, -5*t = 5*z + 45. Let y = 20 + z. Calculate the remainder when y is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -378 divided by 31.\nAnswer: -378\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -67\/3406 and -5\/1006.\nAnswer: 1713218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11001010000 (base 2) to base 12.\nAnswer: -b28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*j - 3*x = -12, -j = -2345*x + 2342*x + 3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 120*c**4 - 286 wrt c?\nAnswer: 480*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*f**2 - 2*f**2 + 2*f**2)*(-1 - 5 + 4 + (-1 + 0 - 2)*(0 - 3 - 2)).\nAnswer: -26*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 449 + -3?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve j = 344*l - 349*l + 35, -j - 7 = -l for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -ca + f?\nAnswer: -bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*j - 20 = -2*j - 4*p, 0 = -3*j - 7*p + 22 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x**5\/4 + 2*x**4 + 99*x**3\/4 + 45*x**2\/2 = 0. Calculate x.\nAnswer: -6, -1, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 257 divide 580845?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -17, -2, 13, 28, 43, 58?\n\"Answer: 15*v - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f + 3*f - 2*y - 3165 = 0, 0 = -3*f - 2*y + 1883. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a + 4*n = 54, 4*a = -0*n - 2*n + 146. Suppose -s - f + 10 = 0, -5*f + f = 3*s - a. Suppose s*r - 2*r - 4 = 0. Solve 5*x = -r + 6 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1649730648?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -0.9  (b) 5\/3  (c) 2\/5  (d) 5  (e) -2803  (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 518?\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5*-279.\nAnswer: -1395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 117879906481 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r - 4*i + 30 = -0*i, 0 = 5*r - 5*i - 25. Let n = r + -12. What is the remainder when (-1)\/n*(23 - 1) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -15*b*k**4 + 4*b*k**3 - 9*b + 3*k**5 + 20*k**2 wrt k?\nAnswer: -360*b*k + 24*b + 180*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*c + 60 - 20. Suppose 0 = -298*j + 153*j + 4640. What is the greatest common divisor of c and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2, -1, 1, 1.6?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -26568 by -3321.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 149 + -144 - (-107 + 1 + -1) and 16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u = -6, -73 = -2*r - 3*u + 51. Is r a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2957 is divided by 975.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1410 + -3?\nAnswer: -1413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + 370.\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 230 is divided by 47?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 - 162*o - 1 + 136*o - 2.\nAnswer: -26*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2 - -23 - (15 + -13)) + 40 + 62?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 581367\/32 = 18167?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(-4)*b)\/((b\/(b**(-1)*b))\/b))\/(b**7*b**(-5\/4))*((b**(-11)*b)\/b*b**(-2)\/b)**(-20) assuming b is positive.\nAnswer: b**(1085\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -188 + 193. Suppose -r + w = -1086, -3*w = r - c*w - 1085. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*d - n - 15 = -5, 13*d + n + 26 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1.42744 - 0.27256. What is the closest to -0.3 in 0.4, 2\/13, -5, u?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -10*p**2 + 3. Let o(u) = 35441*u. Calculate o(i(x)).\nAnswer: -354410*x**2 + 106323","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -30285*x**2*z + 173832268*x**2 - 352*x*z - z wrt z?\nAnswer: -30285*x**2 - 352*x - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -2 + (-1 - (-3 - 4))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 79 + -64. Suppose 6*l - b = l. Suppose 2*r + 0*r + 9 = v, 5*r - 60 = -l*v. Solve v = -6*d + d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -101000110000100010101 (base 2) to base 12\nAnswer: -544a99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000716759 rounded to seven decimal places?\nAnswer: -0.0000717","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -7 - 3 - 1 - (173 - 182)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q - 246 = -5*q - 4*l, 4*q = 5*l + 466. Let v(m) = -m**3 - 4*m**2 + m - 49. Let g be v(-6). Calculate the highest common factor of q and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 441 + -625.5. Round r to the nearest 10.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1095 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 1246757 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 71*i**3 + 70*i**3 + 8*i - 138*i**3.\nAnswer: 3*i**3 + 8*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uyw. What is prob of picking 1 w and 1 y?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.0852647 centuries to decades.\nAnswer: 0.852647","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.0343645005987 + -9133478.9648454994013. Let g = -9133518 - y. Let k = g - -39. What is k rounded to 4 decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1)\/30*-17163214 + (340\/(-300) - -1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -34574 + 5*c**2 + 10*c**2 - 12*c**2 + 10*c**2.\nAnswer: 13*c**2 - 34574","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: Let y(o) be the second derivative of o**6\/360 + o**5\/180 - 5*o**2 - 6*o. Let a(q) be the first derivative of y(q). Factor a(c).\nAnswer: c**2*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-63*n**2 + 130*n**2 - 877*n**2)*(3 + 1 - 2) to i*n + v + u*n**2 and give u.\nAnswer: -1620","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 97 a factor of 89678934?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 21 + (-46 - (-4 - 14)) - (0 + -14) - 14?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3018000 is divided by 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 3*x**2. Let t(v) = -4*v - 34. Let j(z) = -z - 10. Let y(s) = 10*j(s) - 3*t(s). Determine l(y(h)).\nAnswer: 12*h**2 + 24*h + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -12 or -3689216?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/((-3)\/2))\/(83\/(-747))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 60*k**3 - 8*k**2 + 14*k. Let r(x) = -20*x**3 + 3*x**2 - 5*x. Let g(w) = 3*n(w) + 8*r(w). Find the second derivative of g(h) wrt h.\nAnswer: 120*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -s**3 + 6*s**2 - 11*s + 12. Suppose 5*j - 18*i = -19*i + 24, 3*j - 28 = -4*i. Give c(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 718422 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -8  (b) -0.4  (c) -0.1  (d) 42\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 9*m**3 - 4*m**2 - 3*m. Give d(-2).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 17 - -c92?\nAnswer: ca9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 7\/4 of a kilogram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1891238?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1 - 22?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1565 + 432412?\nAnswer: 430514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 4, l: 3, d: 8, n: 4}. What is prob of picking 2 d and 1 o?\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + sqrt(432)*-1 - (sqrt(432) + 3*(sqrt(432) - sqrt(432)*-1)))**2*6*-5.\nAnswer: -829560 + 11520*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 252 - 248. Suppose 5*z - 545 = -9*n + v*n, -327 = -3*n - 4*z. Is 7 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -18 - 5*m + 28*m + 6 - 12*m. Let d(x) = 30*x - 35. Let p(b) = 4*d(b) - 11*h(b). Determine p(-11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = 3*g + 3. Let n be s(-1). Suppose -5*j + 1055 = -n*j. Suppose 0 = 4*d + d - 2*q - 357, 3*d - j = 2*q. List the prime factors of d.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.3  (b) -124  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 >= 63\/1366?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -8.84 + -0.16. Let i = 10.1 + 0.9. Let p = i + s. What is the nearest to p in -2\/13, -3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -1\/107811 and 31\/11.\nAnswer: 107811","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z = -0 + 12. Let i = -0.05 + 0.35. Which is the biggest value?  (a) z  (b) i  (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.7 + -3.3. Let p = -4.1 - w. What is the closest to p in 3\/2, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -26*t - 15. Is 7 a factor of m(-17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 269*z - 748*z = -295*z - 286*z + 102 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 3255308813 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 18055 + -18050. Solve -m = 5*f - 9, q*m + 7 = 2*f + 2*m for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8430190 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -t - 248*t**3 + 10*t**2 + 95*t**3 + 155*t**3. What is p(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-88 + 26 - 39)*(-2*j**2 + 7*j**3 + 2*j**2).\nAnswer: -707*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s**(-1\/5)\/s)\/(s**6*s))**(2\/61))**(-5\/6) assuming s is positive.\nAnswer: s**(41\/183)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 63739 and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = c**3 - 16*c**2 - 64*c + 110. Calculate the remainder when i(20) is divided by 211.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1159 and 122?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2 + (-22 - 0) + -2. Let v be (-1)\/(-18)*20292\/152. Let u = v + -49\/6. What is the closest to -2\/7 in -0.1, u, j?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 4\/(-8)*8 + 264. Let u = p + -185. What are the prime factors of u?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -10*z**3 + 2*z**2 - 5*z + 4. Let t be o(2). Let i = 77 + t. Put -4, i, -3, -2 in descending order.\nAnswer: i, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*f + 4*r - 43 = r, -3 = 3*f - 3*r for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -3*c - 7. Let o be h(-2). Let f(z) = z**3 + 3*z**2 + z. Give f(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(108)\/sqrt(3))\/sqrt(12)*6)**2.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = c - 11. Let f be k(14). Let o(h) = h**3 - h**2 - h + 2. Calculate the remainder when 1\/(1 + 0)*49 is divided by o(f).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 5324 and 2044024686?\nAnswer: 2662","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -18.0749749 - -18.074. Round j to five decimal places.\nAnswer: -0.00097","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 573135 to the power of 1\/3, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 267274, 534030, 800786, 1067542, 1334298, 1601054?\nAnswer: 1867810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 + (234\/(-66) - 30\/(-660))?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) be the first derivative of -d**3\/6 - 21*d**2\/2 - 48*d + 48. Let o(s) be the first derivative of v(s). Calculate o(0).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-106*b**2 + 13*b**3 + 106*b**2)*(0*b - b + 0*b).\nAnswer: -13*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 172259.\nAnswer: 172259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -12638*l**3 - 12*l**2 + 475*l + 1 wrt l?\nAnswer: -75828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 381 divided by 136076\nAnswer: 381\/136076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 70599.77 meters?\nAnswer: 70599770000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 103 a factor of 23896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 4478, -3 in descending order.\nAnswer: 4478, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:52 AM and 10:43 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from sskkksk. Give prob of sequence kkks.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 9 and 394743819?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*j**2 + 350*j - 1032.\nAnswer: -2*(j - 172)*(j - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -798114 - 2*x + 798114.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 2 - 1)*(58*v**5 + 4824*v**2 - 4824*v**2 - 1).\nAnswer: -174*v**5 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = 2*x**2 + 3*x. Let o be k(-2). Suppose -2*z + o = -z. What is the least common multiple of 49\/4 + z\/(-8) and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 846 and 156.\nAnswer: 21996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -o**2 + 7*o + 10. What is the lowest common multiple of 20 and v(6)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 19462 and 608.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let -572*m**5 + 41116*m**4 - 111196*m**3 - 173404*m**2 - 13896*m + 6624 = 0. Calculate m.\nAnswer: -1, -3\/11, 2\/13, 4, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u**5 + 12*u**4 + 30*u**3 - 28*u**2 - 87*u + 72 = 0. Calculate u.\nAnswer: -8, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 102.7861 - -2.3039. Round j to zero dps.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j + j = 0. Suppose 3*i - 4*a - 11 = -0*i, j = 2*i - 3*a - 7. Solve -3\/5*l**4 + 3\/5*l**i + 3\/5*l**2 - 3*l**3 + 24\/5*l + 12\/5 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 1, h: 2, q: 1}. What is prob of sequence lqhh?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -10989.27 + 10989. Which is the nearest to -4?  (a) h  (b) -3  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*((-1*(sqrt(56) + sqrt(504) + sqrt(504) + sqrt(504)*1 + sqrt(56)))\/(sqrt(88)\/(1*sqrt(11)*-1)))**2.\nAnswer: -847","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 45.96249 nanoseconds in minutes?\nAnswer: 0.0000000007660415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 1701+0.4\nAnswer: 1701.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -195060636.498859 - -195058007.5. Let l = -2629 - m. Round l to five decimal places.\nAnswer: -0.00114","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -2  (b) -3460  (c) -74\/19  (d) 24  (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 201082?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -33 - -35. Suppose -4*v = 5*t - 4073, 0*t + 3*v = -y*t + 1625. Suppose -2*u + 1017 + t = 0. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f, 1 x, and 2 l when four letters picked without replacement from {l: 2, f: 1, i: 1, b: 3, x: 3}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(95) + -1*(sqrt(95) - (sqrt(95) + sqrt(95)*-2)))\/sqrt(5)*5.\nAnswer: -5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -5, 132, -1\/3, -1773, 2, 0.3?\nAnswer: 132","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 528941443 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13425162 divided by 6712581.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (u - 3*u - u)*(-9 - 1 + 1)*(-19 + 4 - 1).\nAnswer: -432*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 836858 to the power of 1\/2, to the nearest integer?\nAnswer: 915","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b*b**(-5))\/b)\/b**5)\/(b\/b**1)**(1\/14) assuming b is positive.\nAnswer: b**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(11) + (sqrt(704) + sqrt(11))*6 + 4 + sqrt(11) + -3 + -1 + (sqrt(704)*-6 + -5)**2.\nAnswer: 536*sqrt(11) + 25369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r - 3292 + 337 = 0. Let x(m) = -m**2 - m - 4. Let q be x(0). Let z be r\/9 + q\/12. What is z rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 8861?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-45*z**2 + 90*z**2 + 1 - 56*z**2)*(2 - 2 + 1)*(-z + 4*z - z).\nAnswer: -22*z**3 + 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 3*y + 15. Let h(b) = -b - 1. Let r(a) = -12*h(a) - v(a). Let g(s) = s - 2. Let u(f) = 2*g(f) - r(f). Let k(x) = x**2. Determine u(k(c)).\nAnswer: -7*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -h**2 - 24*h - 27. Let r be g(-23). What is the common denominator of -53\/2 and ((-2)\/18)\/(r\/196)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) be the first derivative of 4\/5*w - 25 - 1\/5*w**2 - 2\/15*w**3. What is l in b(l) = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1571800\/3 or -523933?\nAnswer: -1571800\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 141\/((-68526)\/(-117))*3\/13?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = 8*h - 19. Let r be t(-11). Let v = r + 92. Put -2, v, 1 in ascending order.\nAnswer: v, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*l + 13*l + 93642 = 92814 for l.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 4*n**2 + 8*n - 9. Let g(i) = -8*i - 73. Let c(w) = -9*w - 72. Let t(f) = -3*c(f) + 2*g(f). Let j be t(-7). Is b(j) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -133\/144 and -85\/342.\nAnswer: 2736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) be the second derivative of -33*h**8\/56 + 2*h**4\/3 - 32*h. Find the third derivative of b(u) wrt u.\nAnswer: -3960*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -6a82 - 960b?\nAnswer: -14491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 8.99999846 + -9. Round j to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 111 minutes after 7:17 AM?\nAnswer: 9:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 400037?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 358650102 a multiple of 310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*q + z + 3, 99*z + 3 = -5*q + 49*z + 49*z for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 10*j**2 + 14*j - 15. Let z(n) = -18*n**2 - n + 1. Let v(r) = -g(r) - z(r). What is v(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -30, -1, -3 in decreasing order.\nAnswer: -1, -3, -4, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -216.8 - -217. What is the closest to -2\/9 in 2\/9, 2\/7, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 57*k + 22*k - 270654 = 0. What are the prime factors of k?\nAnswer: 2, 3, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -11*p**2 + 7*p**2 + 10*p**2 + (0*p + 0*p - p)*(0*p - p + 0*p) + (4*p**2 + 0*p**2 - 3*p**2)*(-1 + 3 + 0) + 1 - 1 + 2*p**2.\nAnswer: 11*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -2*p**3 - 189*p**2 - 114*p - 1882. Determine t(-94).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 3231030032 - 10?\nAnswer: 3231030022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*t + 3*t = 4*h - 448679, h - t = 112169. Suppose 10*o - h - 198738 = 0. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3302481 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -13*f + 3. What are the prime factors of c(-5)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j - 2*g = -g + 36, j = g - 4. Let u = -12 - j. Let p(c) be the second derivative of c**3\/6 + 4*c**2 + c. Determine p(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.00572 to 1 decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2930937 to the nearest integer?\nAnswer: 1712","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Are -509155 and -509156 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 2, s: 1, o: 1, d: 2, a: 1, i: 1}. What is prob of picking 1 i, 2 d, and 1 s?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.26 - -147.74. Let p = c + -144. Put -3\/2, -1, p, 0.5 in descending order.\nAnswer: p, 0.5, -1, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -155, 4, -5\/2, 0, 1, 0.01 in descending order.\nAnswer: 4, 1, 0.01, 0, -5\/2, -155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 34097*i**3*j**2 + 54*i**2*j**3 - 2148*j**3 - 1171 wrt i.\nAnswer: 102291*i**2*j**2 + 108*i*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -548113*i - 1275 = -548038*i for i.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -8831*h**3 - h**2 - 12*h + 31. Is c(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -77, -141, -201, -257, -309, -357?\nAnswer: -401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -111 (base 2) to base 6.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + 0 + sqrt(1100) - (2 + sqrt(1100) + -5)) + -1)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 16 and 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 530695 and 165.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = f**3 + 13*f**2 - 5*f + 11. Let a be i(-8). Let v = a + -157. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 22379 minus -1.1?\nAnswer: 22380.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-28*f**2 + 75*f - 75*f)*(-5 + 15 + 12 - f).\nAnswer: 28*f**3 - 616*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 79 - 79.16. Which is the closest to -0.1?  (a) 0.1  (b) 3\/7  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(sqrt(117) + 2)*4 + 2.\nAnswer: 50 + 72*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 128976 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ejzeeeejeejzj. Give prob of picking 2 z and 2 j.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 10, 5, 4, 7.\nAnswer: 4, 5, 7, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3724, 3742, 3760, 3778?\nAnswer: 3796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + (-17)\/4 + 276\/(-10304)*-28.\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 35436420 by 12.\nAnswer: 2953035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 = -5*c - a, -4*a + 8 = -0*c - 2*c. Suppose 0 = -4*q + q - 6, 2*m - 4*q = -2. Let v = -7 + 5. What is the closest to 0 in c, v, m?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1615 + 1630 = 5*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/2 of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = f**3 - 7*f**2 + 10*f + 3. What is the remainder when t(8) is divided by 34?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(44)\/sqrt(2)*6)\/(sqrt(18)*6))**2.\nAnswer: 11\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 7 + 30 + s + 22*s. Is 22 a factor of r(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 614349.7699982 - 614350. Let o = -0.23 - a. Round o to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 30073 is divided by 160.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 14, k: 1}. Give prob of picking 3 i.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -588363 - -588364. Let t be (0 - -1)\/(1770\/(-4)). Is t smaller than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1104354 + 2?\nAnswer: 1104400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 217007042?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -58, -106, -154, -202, -250?\nAnswer: -298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -6*z**2 + 11*z - 13. Determine u(3).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*s + 3*o = 4, -o = -4*s - 3*o + 8 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 19341222.\nAnswer: 2, 3, 3223537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 15545 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = h**2 - 6*h. Let r be n(6). Suppose 0 = -r*s + 7*s. Let g = -64 - -63.9. What is the second smallest value in -0.3, s, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (140\/(-56)*1)\/(((-5)\/(-5)*1)\/2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 1 r when two letters picked without replacement from aeeeeyrreeayyya.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -133*x + 36812. What is the tens digit of m(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -2 - -7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((147\/42)\/(-1) + 29\/10)\/(96\/(-120)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5121686915?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is ((1\/(-1))\/((-5)\/18))\/(3\/(-10))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = n + 195940. Let y be o(0). Let p be y\/15 + (-2)\/(-6). Let c = 130517\/10 - p. Find the common denominator of -23 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*z**3 - 392*z**2 - 4084*z**2 - 1 - 2*z**3.\nAnswer: -4*z**3 - 4476*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ppp when three letters picked without replacement from pppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert -21001 (base 4) to base 10.\nAnswer: -577","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 1, m: 2, s: 1, h: 2}. Give prob of sequence om.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 6\/(-5628)*4727 - -5 and 45\/4?\nAnswer: 1876","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (18\/12)\/(((-6)\/(-8))\/((-2)\/7)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 10109\/2 in 2\/3, -4\/7, 0?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -38476163*l**2 - 1103*l - 11672 wrt l.\nAnswer: -76952326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (39 - 43) + 22 - (5 + -1) - -17?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -89776685 divided by -94007?\nAnswer: 955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*j - 3*z + 13, 2*j - 2*z - 4 = -j. Let y be 2\/j*(-4)\/10. Let g be (16\/56)\/((-30)\/14). Which is the second smallest value?  (a) y  (b) -3\/8  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*i - 22 = -s, -4*s = -2*i + 1 + 1 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 3, m: 4, x: 2}. What is prob of sequence xnm?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4.6*2.\nAnswer: -9.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**2\/(n*n\/((n*n\/(n*n**(1\/4)*n))\/n)))\/(n**(-1))**(-46) assuming n is positive.\nAnswer: n**(-189\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*((2*sqrt(110) - sqrt(110)) + sqrt(110))\/sqrt(2))\/(sqrt(45)\/(sqrt(900)*-1 - sqrt(9))).\nAnswer: 88*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*y - k - 3, -2*k + 12 = -5*y - 6*k. Let z be ((-3*2)\/(-3))\/1. Solve -g + y*g + z = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**20*a)**(-44)\/(a\/(a\/(a**(-3\/10)\/a)*a))**(-2\/27) assuming a is positive.\nAnswer: a**(-124763\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.3263 to 2 decimal places.\nAnswer: 1.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x = -24 + 4. Let t(d) = -2*d + 4. Let j be t(x). Let k(n) = -n + 11. Let m be k(8). Calculate the highest common factor of j and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -l**3 + 8*l**2 - 10*l - 2. Let d be j(7). Let y = 27 + d. Find the common denominator of -53\/9 and y - 3*(-363)\/(-54).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13218 = -5900*t + 95818 for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 4 + -30?\nAnswer: -2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 43, 81, 121, 163, 207?\nAnswer: 253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -u**3 + u**2 + 6*u + 3. Let b be -21 + ((-4)\/(-2) - 0). Let j = 17 + b. Let y be t(j). Solve 0*q + 9 = y*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 11 + -21\/2. Which is the nearest to 2?  (a) -6\/7  (b) p  (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 35 a factor of 11481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = w + 11. Let x be t(-6). Let k(z) = z**3 + 5*z**2 - 6*z - 4. Let v be k(-6). Sort v, 0, x in decreasing order.\nAnswer: x, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -29 + 28.6. Which is the third smallest value?  (a) -2\/21  (b) g  (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -14.3 - 20386.352.\nAnswer: -20400.652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + 11 + (-2 - 3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j = x + 13, -4*x = -5*j + 6 + 4. Suppose j*k - 6728 = -1226. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*i - 3 - 5 = 3*p, i + 5*p + 4 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-30)*t)\/(t**27\/t) assuming t is positive.\nAnswer: t**(-55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 0.0952+3\nAnswer: 3.0952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*k - 11*k - 91 + 6*k + 47 + 38.\nAnswer: -5*k - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2.4, -1, -2\/3?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1.98 + 2. Let l = w + 0.38. Let f = -11 + 10.9. Sort l, 4, f in descending order.\nAnswer: 4, l, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = t - 1 + 4*t**2 + 0 - 2*t**2. Let w be k(-3). What is the greatest common factor of w and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -77\/11148 and -49\/13935.\nAnswer: 55740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = c - 10. Let m be w(-3). Let i = m - -20. Solve 6*k - i*k - 2 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 62065 plus 110.17?\nAnswer: 62175.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Work out 6.8860975 * -0.3.\nAnswer: -2.06582925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*o - 3*z - 30, 26*o = 28*o - 3*z - 25 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 2, c: 4, w: 3}. What is prob of picking 1 o, 2 c, and 1 w?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from uvduvvxxuxvxvs?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-2)\/(-8) - (-186)\/24. Suppose 5*h = y*h. Suppose 3*a + 2*f - 64 = 0, h = 3*a - a + 4*f - 48. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (130\/156)\/((1\/6)\/(13 - 4))\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8 + 10 + 36 + -26.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 196\/1847 or 0?\nAnswer: 196\/1847","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.1441 from -9.59.\nAnswer: -9.4459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -149\/13170828 and 149\/44748.\nAnswer: 39512484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 141506017 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) be the second derivative of 2*q**7\/21 + q**6\/10 - q**5\/4 - q**4\/4 + q**3\/6 - 40*q. Let s(w) = 0. Calculate w.\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -f**2 + 50*f - 263. Determine t(42).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -31 + 24 + (-5 - (-26 - -3)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1341 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 27\/2 of a milligram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = 3*v, i - 4*v - 3 = 14. What is the remainder when i\/2 + (-122)\/(-4) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 109 divided by -109?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 182887 is divided by 2420.\nAnswer: 1387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3053 - -3211. What is the remainder when m is divided by 144?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 207 + 926*r + 215 - 423 + 836*r.\nAnswer: 1762*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (12*(-31)\/186 - (-64)\/(-10))\/(32\/160)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -44, -193, -510, -1049, -1864?\n\"Answer: -9*y**3 - 30*y**2 + 4*y - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (124*v - 11449 + 11449)*(18 - 5 + 1) + 4*v + 0 + 0 as j*v + p and give j.\nAnswer: 1740","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -276598943 divided by 23.\nAnswer: -12026041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 216*o - 12626. Give q(56).\nAnswer: -530","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 1841 = -3*m, m = -3 - 0. What are the prime factors of o?\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jb when two letters picked without replacement from {m: 3, j: 1, p: 6, b: 5}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 361*v + 1214*v**2 - 703*v + 341*v - 62 - 164 with respect to v.\nAnswer: 2428*v - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/7, 2, 9, -0.065 in descending order.\nAnswer: 9, 2, 1\/7, -0.065","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1609 - 529 = -72*r for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 15) to base 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 167 a factor of 759821?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 325 minutes before 12:51 PM?\nAnswer: 7:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3230.\nAnswer: 2, 5, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -10.5622 and 1.8?\nAnswer: -19.01196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(1872))**2 - sqrt(1872) - sqrt(364)\/sqrt(847).\nAnswer: -134*sqrt(13)\/11 + 16848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -2*i**2. Let y(m) = 124 + 4*m**2 + 9*m**2 - 15*m**2. What is y(j(c))?\nAnswer: -8*c**4 + 124","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - (1 + 0) - (12 - (19 - 5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-2)\/7 + (-6)\/(-21). Suppose -k + 6 = -u*k. What are the prime factors of (-174)\/(-15) + k\/(-10)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 4 + 4b?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is ((27547\/(-169))\/(-2119))\/(2\/(-40))?\nAnswer: -20\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = v**3 - 5*v**2 - 4. Let r = 11 - 7. Let u be t(r). Is 13 a factor of (-1)\/(-4) + (-695)\/u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(1\/3))**(1\/46)\/(b*(b*b**(-4))\/b*b**4) assuming b is positive.\nAnswer: b**(-137\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5)\/(-4)*4\/40?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 2*((-2)\/(-4))\/(((-175)\/10)\/7)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 2370139 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (26 + 2 - 5) + (-115 - -96) + (12 - -4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) be the second derivative of h**6\/30 + h**5\/10 - h**3\/3 - h**2\/2 + 34*h. Factor b(w).\nAnswer: (w - 1)*(w + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 147*q**2 - 34*q - 10 - 153*q**2 + 10 in the form f + z*q + g*q**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.33, -1\/5, 1 in ascending order.\nAnswer: -1\/5, 0.33, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 141.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2 + -400?\nAnswer: -343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 200701 and 479?\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vvigvrigevcvirvgrr. What is prob of picking 1 e and 1 v?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 256 in -195, -10, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = 94*k - 201. What are the prime factors of t(5)?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q and 1 m when two letters picked without replacement from jqqfqqfqmmfqqqfjfq.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 296115 and 22267848.\nAnswer: 111339240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (992*s - 48*s + 493*s)*(4*s**2 - 4*s**2 + 3*s**3) to m + b*s + x*s**2 + g*s**3 + k*s**4 and give k.\nAnswer: 4311","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 118 + -128. What is the third biggest value in -0.3, 0.3, -3, q?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1882, 3724, 5566?\nAnswer: 7408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 6289 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -51 - -1417460795282?\nAnswer: 1417460795231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -3, 0.156, -0.12, 3, -2\/3, 10\/9?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -18, 0, -1, 6, 1, 1642 in descending order.\nAnswer: 1642, 6, 1, 0, -1, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -3*t**2. Let k(z) = -865*z**2 + 3. Let x(p) = -1729*p**2 + 5. Let q(u) = 5*k(u) - 3*x(u). What is w(q(f))?\nAnswer: -2229132*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -67*v + 751 = 81 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**(2\/57))**0\/(n\/((n\/(n**(12\/13)\/n)*n)\/n)*n**19))**3 assuming n is positive.\nAnswer: n**(-738\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {q: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -7*l**2 - 3*l + 11. Let r(k) be the third derivative of k**5\/20 + k**4\/24 - 5*k**3\/6 - 24*k**2 - 4. Calculate 2*g(f) + 5*r(f).\nAnswer: f**2 - f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37*k = -34*k + 24. Let p be k\/12*6\/2. Let n = 0.3 - 0.4. Put -0.4, p, n in descending order.\nAnswer: n, -0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-97)\/1940)\/(1\/20). Put 2, f, 12, 1 in decreasing order.\nAnswer: 12, 2, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j = 5*p - 298, 2*j - 4*p - 166 = -30. Is 18 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -2*(-3)\/((-6)\/(-235)). What is the highest common divisor of 47 and a?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-7)\/3 - 8\/12. Let m(k) = -k**3 - 6*k**2 + 2. Let b be m(-6). Suppose 4*r + b - 1 = -5*h, -2*r = -4*h - 6. Sort t, -1, r in decreasing order.\nAnswer: r, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -u**2 - 12*u. Let t be 3\/18 - (-61)\/(-6). What is the smallest common multiple of n(t) and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.361 less than 19?\nAnswer: 15.639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -g**3 - 5*g**2 - 6*g - 5. Let h be b(-4). Are 2 and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -u**3 - 8*u**2 + 2*u + 3. Let y(w) = w**2. Let k(q) = -b(q) - 6*y(q). Give k(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -829369\/124 + 6689. What is the common denominator of 13\/558 and c?\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 232899197 to the power of 1\/4, to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = p**3 - 4*p**2 + 4*p - 2. Suppose -4*q + 60 + 8 = 0. Let z = -2 + q. What is the remainder when m(5) is divided by z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one eighths of a microgram in nanograms?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 354224 = -578*a + 375032 for a.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = 2*m**2 + 20*m - 8. Let b be c(-15). Suppose b = 4*a - 642. Does 25 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 93*u**2 + 9*u - 20. Let s(m) = -47*m**2 - 4*m + 9. Let k(n) = 9*s(n) + 4*w(n). Let z(p) = -6*p**2. Determine z(k(d)).\nAnswer: -15606*d**4 + 612*d**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = 5*u**2 + 4*u - 7. Let a(j) = 4*j**2 + 3*j - 6. Let v(p) = 4*a(p) - 3*h(p). What is v(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 1 - 3)*(1 + 0 + 1)*(-1 - 2 + 1)*(w - 2*w + 7*w).\nAnswer: -24*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 273*c - 484*c - 90504 = 1159*c + 306*c for c.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -57 - -4. Let f = 0.086 + 52.914. Let m = f + t. Which is the closest to m?  (a) -4  (b) 0.2  (c) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -16 + 10. Let c = h + 3. Let j(y) be the third derivative of y**6\/120 + y**5\/15 + y**4\/12 - y**3\/3 - y**2. What is j(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 420197422?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -103\/56 and -101\/680?\nAnswer: 4760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) be the second derivative of n**8 + n**5\/10 - 77*n**4\/12 + 11*n - 4. Find the third derivative of p(o) wrt o.\nAnswer: 6720*o**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 72822, 145588, 218364, 291156, 363970, 436812, 509688, 582604?\n\"Answer: b**3 - b**2 + 72762*b + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-4)\/10)\/((-4)\/(-6)). What is the closest to 0.3 in -3\/4, a, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d**5 - 2*d**4 - 7*d**3 + 8*d**2 + 12*d = 0. What is d?\nAnswer: -2, -1, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 68 = 3*w + 4*x + 17, 7*w + 29 = 3*x for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 0.2+-882315970047\nAnswer: -882315970046.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 7 and 36436836.\nAnswer: 255057852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 906 and 1661.\nAnswer: 9966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 12\/27 - ((-24)\/9)\/(-4). What is the third smallest value in s, 5\/6, 1\/3?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4 + 4 + 4)*(2*o**3 + 7*o**3 - 19*o**3)*(-1 - 1 + 6) to x*o**3 + w*o + d + b*o**2 and give x.\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3*t**2 + 2*t**2 + 19*t**6 - 23*t**6 wrt t.\nAnswer: -480*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*n - 19 = -3*a, -16*a - 3*n + 9 = -13*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 4761.524 centimeters in millimeters?\nAnswer: 47615.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 113\/3748990 and -41\/749798.\nAnswer: 3748990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 94713 and 393.\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 62 + -247\/4. Let b = -10271 + 10270.5. What is the nearest to y in -0.1, -0.3, -2\/3, b?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 30, 80, 132, 186, 242, 300, 360?\nAnswer: 422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8787?\nAnswer: 3, 29, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1120365?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:08 PM and 11:55 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -9.023 to 0 dps.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 51132?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4\/4891 - -562561\/117384. Let b = 2498\/27 - 830\/9. Calculate the common denominator of b and p.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -143*-6135.\nAnswer: 877305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = g - 3*f + 2*f - 70, 4 = -4*f. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m, 1 u, and 1 i when three letters picked without replacement from umuuiuuii?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -37, -41, -49, -61, -77, -97, -121?\n\"Answer: -2*t**2 + 2*t - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-13\/5)\/(h\/(((h**(-2\/41)\/h*h)\/h)\/h)))**9 assuming h is positive.\nAnswer: h**(-10422\/205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*d - 2*r - 2, d - 2*r - 10 = -6*r for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = l**2 - 14*l + 4. Let t be w(15). Calculate the highest common divisor of t and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = 3*y - 4. Let d(u) = -4*u + 5. What is 6*d(n) + 7*k(n)?\nAnswer: -3*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-7 - 0) + 1725\/253. Which is the nearest to u?  (a) 2\/7  (b) 3  (c) 5  (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from llfhfhhhhhlhhhhfhf. What is prob of sequence hl?\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*u + 5*u - 21*u)*(5 - 2 - 2).\nAnswer: -20*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-352)\/132 - 34\/(-6). Factor 1\/3*q**i - 2\/3 - q**2 - 5\/3*q + 1\/3*q**4.\nAnswer: (q - 2)*(q + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 2*c**2 + 174*c - 4600. Calculate a(-108).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from mmomooherho?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 183423100 rounded to the nearest one million?\nAnswer: 183000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 130334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + (-1*2*sqrt(136))\/(-2*-1*sqrt(8)) + 1)**2.\nAnswer: -2*sqrt(17) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.12635 to 2 decimal places.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oyyp when four letters picked without replacement from ppoyippyyyyyy?\nAnswer: 7\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4421 = 3*t - 11*h + 7*h, 7363 = 5*t - 4*h. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (87 + 90 + -178)*83?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -12210 + -1212201?\nAnswer: -2002111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = 3*b - 6. Let s(q) = -9*q + 39. Let t(l) = l - 4. Let f(m) = -2*s(m) - 21*t(m). Let c(j) = -5*a(j) - 6*f(j). What is the derivative of c(h) wrt h?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -4 - -7. Suppose -1 + x = 2*u. Let y be (2 - 3\/2)*2. Which is the closest to u?  (a) 5  (b) y  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 20 and 640.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 5*l - 20 = 0. Solve -l = -4*m - m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -59\/87 and 64\/9?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*v**4 + 126*v**3 - 2916*v**2 + 29160*v - 104976 = 0.\nAnswer: 9, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) be the second derivative of 4*h**8\/7 + h**5\/20 + h**4\/2 + 630*h. Find the third derivative of s(r) wrt r.\nAnswer: 3840*r**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*d = 3, -14 + 10 = -3*c + 2*d for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 250461, 500988, 751519, 1002054, 1252593, 1503136, 1753683?\n\"Answer: 2*k**2 + 250521*k - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 20418 divided by -5832?\nAnswer: -3403\/972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.5, 2015, 200\/9, 58\/5, 1, 3\/7 in descending order.\nAnswer: 2015, 200\/9, 58\/5, 1, 0.5, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cccccccccc. What is prob of picking 3 c?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2 + 12. Let h = w - 10.3. Which is the second biggest value?  (a) -3\/5  (b) -3  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = 4*f**2. Let u(t) = -1116*t + 11. What is u(d(c))?\nAnswer: -4464*c**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) be the second derivative of 1\/30*q**6 + 12*q - 1\/5*q**5 + 2\/3*q**3 - 2 - 3\/2*q**2 + 1\/6*q**4. Factor r(j).\nAnswer: (j - 3)*(j - 1)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.5?  (a) -0.2  (b) -5  (c) -0.4  (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 51952 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 62 = -4*k + 2*b, 202 = -62*k + 48*k + 2*b for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d + 11 = -4. Suppose d*u + 3*s - 62 = 94, -3*u + s = -140. Let p = u + -30. Is 11 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1768)\/180 + 24\/108. Which is greater: 2\/3 or q?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1 and 12991.\nAnswer: 12991","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 534.27 - -0.03\nAnswer: 534.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*l*l\/((l*l**2*l)\/l)*l)\/((l*l**(-15\/7))\/l) assuming l is positive.\nAnswer: l**(22\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (11\/(231\/(-14)))\/((-8)\/(-156)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 7098703955\/179 - 39657972. Let q = i + 408. Which is greater: 0 or q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 686 is divided by 43?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -48, -27, 14, 81, 180, 317?\nAnswer: 498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 32 + -24 + (19 - (-28 - -7))\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 32360695 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 699292.1ug to milligrams.\nAnswer: 699.2921","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 10 + -9. Sort 5, q, 4 in decreasing order.\nAnswer: 5, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + 3 + 4*((sqrt(275)*-3)**2 + (sqrt(121) + -1*sqrt(121) + sqrt(121))\/sqrt(11)).\nAnswer: 4*sqrt(11) + 9900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 99221946 to the nearest integer?\nAnswer: 9961","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z + 107 = 119 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 19830?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 4*b + 0*b - 2 - 3*b. Let u be p(7). Suppose 2 = -3*t - 5*o, u*t + 2*o = 14 + 8. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 304483 - 184796. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 5*l = 33, -3*t = -l - 0*l - 17. What is the first derivative of -5*i**4 - 2*i**t + 1 + 1 + i**4 wrt i?\nAnswer: -24*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -16 - -8. Let c = 12 + r. Let x be 0 - ((-24)\/(-20))\/3. What is the nearest to x in c, -0.3, 0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u + 1 = -g, -g = 2*u - 0*g - 4. Suppose 5*k - 10 - 5 = 0. What is the first derivative of 4*f**k + u - 2*f**3 + 0 wrt f?\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 526 minutes after 10:27 AM?\nAnswer: 7:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 9 and 225?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5772.\nAnswer: 2, 3, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -115\/56 and 1417575\/637140 - (-15)\/(-7).\nAnswer: 2072","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = 4*a + 3. Let v(m) = m. Suppose 7*f = 10 - 73. Let n(j) = j + 10. Let s be n(f). Give s*o(u) - 2*v(u).\nAnswer: 2*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-1 - 1) + 1)*(-1540 - 6). Is 5*(v - (1 + 2)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.5 in -4259, -1.8, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 814962.99997 + -814969. Let t = 6 + n. What is t rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*u - 3*u - u + 2*u + u + 4*u + (-u + 0 + 0)*(0 - 1 - 1))*(u + 4*u - 3*u).\nAnswer: 16*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1\/7  (b) 18  (c) 0.11  (d) 62\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (19 - 62*h + 36*h + 27*h)*(-2 + 3 - 3)*(6 - 2 - 3) to l + q*h and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 208 and 1118.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = 10*c**3 - 4*c**2 + 6*c + 6. Let n(a) = -a**3 + a**2 - a - 1. Determine -6*n(p) - z(p).\nAnswer: -4*p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1200 + 10?\nAnswer: 1210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -77*h**3 + 2*h**2 + 22*h - 2. Let k be o(-10). Suppose -6*q + k = 16*q. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4.2 - 4.23. Let c = w + -0.47. What is the fourth smallest value in 5, -2, -5, c?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 2 - 3)*(-4 + 4 - 3*i + (0*i + 4*i - 2*i)*(3 - 3 - 2) + 5*i - i - 3*i)*(i - 1 + 1).\nAnswer: 30*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 2444983 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 812\/21 - ((-2 - -2) + 0). Let h = -39 + x. Which is the nearest to h?  (a) 0.4  (b) -0.5  (c) -3\/20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of i**2*z**3 + 299*i**2 + 621*i*z**4 wrt z.\nAnswer: 3*i**2*z**2 + 2484*i*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 4 - -9908?\nAnswer: 990c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 140974, 0, -5 in decreasing order.\nAnswer: 140974, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -p**3 - 6*p**2 - 3*p - 14. Let k be y(-6). Solve 0 = -4*u + 2*o - k, 5*u + o = -0*o - 19 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3629371 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -1830, -1842, -1832, -1788, -1698, -1550?\n\"Answer: 2*m**3 - m**2 - 23*m - 1808","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -5  (b) -4  (c) -3\/4  (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -25 + 4225?\nAnswer: 4200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 801, 780, 739, 672, 573, 436, 255, 24?\nAnswer: -263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 21005 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t and 1 m when two letters picked without replacement from {t: 9, m: 3}?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 80511 divided by 16.\nAnswer: 80511\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t + 4*z = 5*z + 56, -2*t + 19 = 3*z. What is the remainder when 65 is divided by t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 11.6 - 23. Let i = 0.4 + y. Let u = -6 - i. Which is the third smallest value?  (a) 0.4  (b) 4  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3 by 3336.\nAnswer: -1\/1112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -294?  (a) -0.3  (b) 1\/2  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 13\/475626 and -53\/55956.\nAnswer: 951252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*z - 3*q = -2*z + 20, 0 = -3*q. Suppose -h + 1 = -0. Sort h, 4, z in descending order.\nAnswer: 4, h, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.22?  (a) 1  (b) 617\/2  (c) -13  (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1803836 to the nearest integer?\nAnswer: 1343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -1086*g + 5346. What is a(5)?\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -932 + 2*i + 3*i + 227 - 2*i.\nAnswer: 3*i - 705","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express 216*z - 10*z**3 - 216*z + z**3 + 3*z - 3*z + (4 + 3 - 5)*(-2*z**3 - z**2 + z**2) + 2*z**3 + 0*z**3 + 0*z**3 as o*z + l*z**2 + n*z**3 + p and give n.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 284163 and 55481?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 18 and 220499748?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 299 divided by 73255.\nAnswer: 1\/245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2628 - 2588. Solve 55 - p = -3*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) be the second derivative of 2011*h**6\/30 + 2*h**3\/3 - 139*h**2 - 4*h - 279. What is the second derivative of c(b) wrt b?\nAnswer: 24132*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 12) to base 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.31, -3, -20?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -20 - -61\/3. What is the fourth smallest value in s, 0.1, -2\/7, -0.1, -2.7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + 3*f = 87, -3*m + 104 - 27 = f. Solve -3*p = 39 - m for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -w**3 + 3714*w**2 - 4597932*w + 1897413272 = 0. Calculate w.\nAnswer: 1238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 6 = 0, -3*q - t - t = -22. Let o be 34\/14 + (-8)\/(-14). Suppose m - q = 4*m, -3*m + 495 = o*n. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -f**2 + 1530592023 - 1530592023.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -8*t**2 + 3. Let a(b) = 1215210*b. Give a(p(g)).\nAnswer: -9721680*g**2 + 3645630","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 91 and 273.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 4, -326, -33, -4, 0 in ascending order.\nAnswer: -326, -33, -4, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 253 minutes after 7:12 AM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 12869 divided by 1?\nAnswer: 12869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -764.7 - -46477093.\nAnswer: 46476328.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.1, 3, -3\/5, 0, -0.1, 5\/12, -3\/488?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -1110201100111 (base 3) to base 14\nAnswer: -164c6c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -127311646 <= -127311649?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 112 or -67.4129?\nAnswer: -67.4129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(96)\/sqrt(2) - sqrt(48))*-2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -22 + 16 + 10 + -10 + -25\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -212459*f**2 - 27 - 22 + 212449*f**2 + 49.\nAnswer: -10*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 3\/130922806 and -87\/7875056?\nAnswer: 1047382448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) be the first derivative of 11*k**2\/2 - 435. Let n(s) = -14*s + 4. Determine n(x(w)).\nAnswer: -154*w + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 256181 to the nearest integer?\nAnswer: 506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -34, -24, 0, 44, 114, 216, 356?\n\"Answer: k**3 + k**2 - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -s**2 + 13*s - 10. Let w be g(8). Let l be (72\/w)\/(((-108)\/(-40))\/(-9)). Let y(m) = m**3 + 10*m**2 + 7*m + 14. Is 43 a factor of y(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:48 PM and 10:43 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 578.75028 rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 48 and 54608.\nAnswer: 163824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d = -3*k - 357, 0 = -k - 5*d - 98 - 9. Let b be (-1 + k\/(-99))\/1. Let s = b + 6\/11. Find the common denominator of -65\/4 and s.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 12848 and 1556764?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -1972 times -18.8\nAnswer: 37073.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14954352?\nAnswer: 2, 3, 7, 44507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is ((2\/(-4))\/((-301)\/602))\/(2\/(-28))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 39340.92 litres to millilitres.\nAnswer: 39340920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2 + 3\/((-9)\/6). Suppose d = -5*u + 2*h - 44499994, -h - 17800003 = 2*u - 0*h. What is u rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2*(-4)\/(-20) - ((-86)\/40)\/1.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -16.5 times -68700?\nAnswer: 1133550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -242 and -4422?\nAnswer: 4180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 11609?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -16275052 (base 8) in base 4?\nAnswer: -32113220222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 23150447 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 1097977 (base 12) to base 2\nAnswer: 1100001001110110101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -645538 minus -65?\nAnswer: -645473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -348 divided by 211\nAnswer: -348\/211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3 - -1. Let d = -86\/11 + 763\/99. Which is the second smallest value?  (a) z  (b) d  (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -24 + (101 - -44) + -92?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3821208*f**2*i**3*s**2 - 2*f**2*i**2*s - i**2*s + 378159*i*s**2 wrt i?\nAnswer: 22927248*f**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = m**3 - 2*m**2 - 4*m - 4. Let d be q(4). Suppose -3*l - 12 = -3*t - 0*t, -3*t - l = -d. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1054 (base 7) in base 6?\nAnswer: -1434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o and 1 b when two letters picked without replacement from obw?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + 693\/(-88) + ((-75)\/24 - -3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5837 is divided by 59.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - 4*j - 16 = 0, -3*b - 3*j + 33 = -6*j. Which is bigger: b or 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2.94434 centuries to decades.\nAnswer: 29.4434","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) be the second derivative of f**5\/40 + 323*f**4\/24 + 643*f**3\/12 + 321*f**2\/4 - 318*f - 3. Find w, given that d(w) = 0.\nAnswer: -321, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let k = 45 - 22. Let b = k - -4. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.9028167ng in grams?\nAnswer: 0.0000000009028167","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 2, p: 11, b: 2}. What is prob of sequence lb?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*y - 3*y. Suppose y = 2*x - 0*x - 8. Suppose q - 12 - 4 = 0. What is the highest common factor of x and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0 and -815907.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -2a2 - 1b8?\nAnswer: -47a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1\/4, 5764, -1\/5?\nAnswer: 5764","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2358*g**3 + 2953*g**3 - 3063*g**3)*(-2*g**2 + 2*g**2 - 4*g**2).\nAnswer: -8992*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -i**4\/4 + 3*i**3\/4 - i**2\/2.\nAnswer: -i**2*(i - 2)*(i - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 (base 7) in base 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*w + 2 - 8. Find the third derivative of 8*r**w + 4*r**3 - r**2 - r**3 - 2*r**2 wrt r.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -46538, -93002, -139486, -185996, -232538, -279118, -325742?\nAnswer: -372416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.11 - -1.89. Let i = p + -2.4. Let b = -49\/3 - -17. What is the closest to b in 0.4, i, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -14*a**3 - 1723*a**2 + 1615*a + 353. Determine g(-124).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in fifty-seven fifths of a decade?\nAnswer: 114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -54*(14 - 9)*(-6)\/45. Solve h*f = 39*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 9) in base 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*g**3 + 4*g**3 - 2*g**3 + ((4*g**2 - 5*g**2 - g**2)*(-2*g + g + 0*g) + 42 - 98 + 3*g**3 + 79)*(-1 - 3 - 1).\nAnswer: -21*g**3 - 115","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3 by -1035.\nAnswer: -1\/345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-8)\/(-2) - 0\/(4 + -1). Suppose 0*g - 21 = -3*g. Put m, -4, g in decreasing order.\nAnswer: g, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 814100.7 litres in millilitres?\nAnswer: 814100700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 147710264 or 147710267?\nAnswer: 147710267","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*q = 13*p - 25, q - 5*p - 240 = -0*q - 239 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -105*j - 19. Let l be r(-13). Let y = 1089 + l. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4320022 and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 179 is divided by 56.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*((sqrt(3) - sqrt(27)*3 - sqrt(3))**2 + -3 + (sqrt(105)\/(-3*sqrt(7)))\/sqrt(5)).\nAnswer: -1440 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 83, 163, 243, 323?\nAnswer: 403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28 = 4*f - 12. Suppose 4*a - 3 - 1 = 0. Calculate the lowest common multiple of (a\/(-3) - -4)*3 and f.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 less than -4692?\nAnswer: -4691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 876 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1141 = -8*v + 4157. What are the prime factors of v?\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) be the second derivative of b**4\/24 - b**2\/2 + 4*b. Let d(p) be the first derivative of y(p). Let u(a) = -a**2. Give d(u(h)).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4\/5*h**2 + 32\/5*h - 48\/5.\nAnswer: -4*(h - 6)*(h - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 739*v - 1513. Does 18 divide h(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k\/(k\/(k**20\/k))*k\/k**(-2\/7) assuming k is positive.\nAnswer: k**(142\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 57 divide 1140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 4\/5  (b) 2\/7  (c) 7204\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -259688 divided by 2951?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 51 - -1*(9 - 4). Let w = 57 - x. Which is bigger: 1\/15 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*c\/(c**(-2\/7)\/c)*c)**(-5)\/(c**(-2\/5)\/c)**(10\/9) assuming c is positive.\nAnswer: c**(-1252\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = 2*v**2 - v + 28. Let o(j) = -3*j**2 + 2*j - 56. Calculate 3*o(b) + 5*r(b).\nAnswer: b**2 + b - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 55493 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = f**2 - 2*f - 86. Let i be y(14). Let t = i + 305. Is t a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 19213?\nAnswer: 19213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -4*q**2. Let b(k) be the third derivative of k**4\/4 + 2*k**2. Calculate z(b(h)).\nAnswer: -144*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -151\/1422 and 121\/27018.\nAnswer: 27018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 763, 1429, 1963, 2305, 2395, 2173?\nAnswer: 1579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) be the first derivative of 2*r**3\/39 + 14*r**2\/13 + 98*r\/13 - 116. Suppose p(u) = 0. Calculate u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -r**3 - 6*r**2 + 6*r - 4. Let i = 5 + -12. Let u be m(i). Suppose u*c = 98 + 13. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = w - 32. Give v(20).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 1\/6  (b) 2\/13  (c) 0.7  (d) 0.5  (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-41)\/984)\/((-340)\/(-255)).\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = o**3 - 9*o**2 - 14*o + 22. What is r(10)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 126544 and 27444230?\nAnswer: 219553840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 3*(8\/(-3))\/(-4). Let m(p) = p + 1. Let d(b) = 2*b + 3. What is j*d(y) - 6*m(y)?\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 13 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 166.85 - -1.15. Let q = -2.1284385 + -165.8727915. Let c = k + q. Round c to four dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -22*i - 98*i**2 + 22*i - 12*i**2 - 8*i**2 + 3*i**2 + (-2*i - 2 + 2)*(3*i - i - i) + (4*i - 3*i + i)*(0*i - 2*i + i) to n + b*i**2 + s*i and give b.\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -b - 1. Let r be q(-3). Let g(d) be the first derivative of 0*d**2 + 0*d**3 - 1\/2*d**4 - r*d - 1. Differentiate g(f) wrt f.\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 39403013?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -909 - -10909\/12. Let i(m) be the third derivative of -t*m**4 - 2*m**2 - 1\/30*m**5 - 1\/180*m**6 + 0*m - 1\/9*m**3 + 0. Let i(x) = 0. What is x?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2.2 * 6186\nAnswer: 13609.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -15*l - 5. Calculate the remainder when k(-2) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -57  (b) -1\/3  (c) 54\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/11, 5, 1\/6, -33\/8, -209.\nAnswer: -209, -33\/8, 1\/6, 2\/11, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) be the third derivative of l**8\/840 + l**5\/60 - l**3\/6 + 2*l**2. Let v(w) be the first derivative of n(w). Find the second derivative of v(b) wrt b.\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 270726533 a multiple of 2191?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -o + x - 12, 0*o - 4*x = 4*o + 32. What is the tens digit of (-10)\/o*(-2 + 99)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 18656?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert -51 (base 14) to base 8.\nAnswer: -107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 6\/7*(-42)\/(-6). Let r(l) = l**2 - 9*l + 20. Let s be r(i). Suppose s*o = -0*o + 20. What is the smallest common multiple of o and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 432351\/2 - ((-57)\/(-38) + (-1 - -2)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 53 + -53.3. Let k = 1 + -1. What is the second biggest value in p, 0.4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 153 is divided by (-5)\/(160\/8)*-124.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5 - 28427*u - 5 + 28466*u.\nAnswer: 39*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18734*t + 18764*t + 1856 = 416 for t.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 494901*y - 989006*y + 494097*y.\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.4  (b) 0.5  (c) -36\/7  (d) 0.9  (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -b - 2*a + 7*a + 26, 3*a - 26 = -2*b. Let k = b - 4. Is k a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p = -2*p. Suppose 2*h + 6 = p, -l - 2*l + 12 = h. Solve 3*t = -4*c + 3, 0 = -t + l*t - 4 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*n = -458 + 436. Are n and -3\/1406 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = 21*b. Let o(c) = 0*c**2 + 66 - 6*c**2 - 66. Give n(o(f)).\nAnswer: -126*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o*o**11*o*o**(-5) assuming o is positive.\nAnswer: o**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*c = -1415173 + 1413938 for c.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1596 is divided by 520.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.5  (b) 1\/4  (c) 1  (d) -80\/63\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -4*f**2 - 4*f + 6. Let t(d) = 17*d**2 + 17*d - 25. Let r be 51\/(-357)*2*7. Give r*t(s) - 9*l(s).\nAnswer: 2*s**2 + 2*s - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 12176412 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/2 in -0.51, -1\/5, -1, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 4 (base 15) to base 5\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -0.94  (b) 1  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -5 + (168 - 172) + (11 - 1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine m so that 2*m**5 - 10*m**4 - 36*m**3 + 244*m**2 - 350*m + 150 = 0.\nAnswer: -5, 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Add 5 and -25273.7.\nAnswer: -25268.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) be the first derivative of 5 + 5*u + 2\/3*u**3 + 1\/4*u**4 - 17\/2*u**2. Is i(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 + 27 + -26 + 36 + -28.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (l + 2*l**2 - l)*(264*l + 358*l - 506*l)*(0*l + 2*l - l).\nAnswer: 232*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/((-3)\/((-105)\/10)) - 1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(1\/3)\/(r\/(r**(3\/7)\/r)))\/(r**1)**(-24\/11))\/((r**2)**4*((r**7\/r)\/r)\/(r*r\/r**1)) assuming r is positive.\nAnswer: r**(-2554\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 20 - 12. Let x = u + -13. Let q be 10\/(-1)*2\/x. Solve -q = -4*r + s + 7, 41 = 4*r + 5*s for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -865, -6903, -23269, -55123, -107625, -185935, -295213, -440619?\n\"Answer: -860*j**3 - 4*j**2 - 6*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 6\/7, -1\/2, 1\/2107, 0, 5 in decreasing order.\nAnswer: 5, 6\/7, 1\/2107, 0, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 209154705.\nAnswer: 3, 5, 59, 236333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 78.158 - -0.538. Let q = 6.8 - 85.8. Let o = k + q. Round o to two dps.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 - (2 - 4) - 7 - 1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*w = -y + 3, 3*w - y - 3*y + 1 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3.51 + 4.01. Sort -0.03, 5, l, -3 in increasing order.\nAnswer: -3, -0.03, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j - 36 = 2*j. Let s(x) = -17*x**2. Let g be s(1). Let o = j - g. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -26516 - -141?\nAnswer: -26345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 3419 times 1?\nAnswer: 3419","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 662898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*x + 3*x - x)*(0*x + x - 22*x**2 + 24*x**2).\nAnswer: -6*x**3 - 3*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 - 51 = -y - 2*z, -z = -3. Suppose -3 = 4*r - y. Is r a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h\/h**(3\/5))**(-1\/2)*(h\/h**2)**41)**14 assuming h is positive.\nAnswer: h**(-2884\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert -15178 (base 15) to base 16.\nAnswer: -108fe","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2035*h + 1988*h = -752 for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -2 - ((-1)\/(-2) - 9\/(-36)). What is the closest to 1 in 0.5, -0.2, v, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*w - 5*q - 94 = 0, -101*w + 1292 = -55*w - 2*q for w.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2819 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 46 divide 10643076?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 324719*h - 9120 = 325099*h for h.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 343879 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/6 of a millennium in months?\nAnswer: 14000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 - 5 - 2*s + 3 + (-1 - 3 + 2)*(-107*s + 306 - 306 + (0 - 2 + 1)*(5*s + 4*s - 4*s)) to d + x*s and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) be the first derivative of 1\/11*m**2 + 2 - 3\/22*m**4 + 4\/11*m - 8\/33*m**3. Factor q(k).\nAnswer: -2*(k + 1)**2*(3*k - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 0*y = -10. Calculate the least common multiple of y and 8 + 17\/((-306)\/(-216)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 10, z: 1, w: 2, k: 2, x: 4}. Give prob of sequence ggk.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 524.1979l?\nAnswer: 524197.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*n + 93 - 69 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -21, -35, -73, -147, -269?\nAnswer: -451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let -1\/2*u**3 + u**2 + 0 + 0*u = 0. Calculate u.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -2*m**3 + 15*m**2 - m - 5. Determine y(7).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1\/(-8)*-44*(-9 + 7125)?\nAnswer: 2, 3, 11, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -r**2 - 4*r - 6. Give b(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1134478 a multiple of 122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -32 - -63. Let d = 1 - -7. What is the remainder when h is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4535744, -9071470, -13607176, -18142856, -22678504, -27214114?\nAnswer: -31749680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 52 minutes before 4:17 PM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = f**3 + 60*f**2 - 40*f - 31. Let l be w(-29). What is l rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 46429?\nAnswer: 29, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = b**3 + 4*b**2 + 4*b. Let x be i(-3). Let s(q) = q + 0*q - 4 - 2*q - 3*q. Is 4 a factor of s(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3653, -5, -1, 4, -3 in decreasing order.\nAnswer: 3653, 4, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 275221 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 349493.\nAnswer: 349493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = t + 25. Let d be l(-16). What is the highest common divisor of 3 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 61.79354 to 2 dps.\nAnswer: 61.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k = -q + 2, -q - 10 = -6*q - 3*k. Suppose 4 - 13 = -3*i. What is the least common multiple of i - (-1 - (1 + -2)) and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -u + 5. Let r be k(3). Is r\/(-5) + (-387)\/(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 186185756 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 194 or 24533?\nAnswer: 24533","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*r - 75 = 3*k, -854*r = -6*k - 859*r - 117 for k.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -7*q - 10. Let o(y) = 11*y + 15. Let s(v) = 7*c(v) + 5*o(v). What is the first derivative of s(a) wrt a?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2680 - 11139 = -120*y - 3859. Solve -y*i = 407 - 75 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 80 divide 4030880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 325062571 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (0 - -36647) + 0 - 2. Let a = -5610 + i. Suppose -2*n + 74961 + a = 4*s, 4*s - 264996 = -5*n. Round n to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 1095097 and 1095095 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(17) + -1*sqrt(17) + -4 + sqrt(1377) + 0)**2 - sqrt(187)\/((sqrt(22)\/sqrt(2) + sqrt(11))*2).\nAnswer: -289*sqrt(17)\/4 + 1393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -833, 2, 1, -3292 in descending order.\nAnswer: 2, 1, -833, -3292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1b43a299 - -4?\nAnswer: 1b43a29d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -434 - -423. Let x be 1 + (o + 5)\/(-78)*47. Factor 2\/13*p**5 + 18\/13*p**4 + 92\/13*p**2 + x*p**3 + 18\/13 + 66\/13*p.\nAnswer: 2*(p + 1)**3*(p + 3)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2944251 a multiple of 198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -5993, -11982, -17971, -23960?\n\"Answer: -5989*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of 4310815.85 and -0.5.\nAnswer: -2155407.925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 187\/270 and 37\/120.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5, 21, 63, 143, 273, 465, 731?\nAnswer: 1083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*y - y + 3. Suppose q = 4*q + y*n - 21, -4*q - n + 16 = 0. Differentiate 1 - 2*w**3 - 2 + 3 + q wrt w.\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 (base 4) in base 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*z - 0*z. Let w = 398 - 2788\/7. Let h = -45 + 43.7. What is the third biggest value in h, z, w?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -9, 5 in descending order.\nAnswer: 5, 2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 168 and 170478000.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 383*2.\nAnswer: 766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 4*l**2 + 125485*l - 1372476 wrt l.\nAnswer: 8*l + 125485","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 145, 288, 431?\nAnswer: 574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.03 + -64?\nAnswer: -64.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 775*b - 2*b**2 + 1865*b + 3*b**2 - 2*b**2.\nAnswer: -b**2 + 2640*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 142 - 181 - ((-2 - (-4 + -1 + 4)) + -7)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 87616.67 milligrams to kilograms.\nAnswer: 0.08761667","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 65287 (base 15) in base 16?\nAnswer: 4e6b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -7*g - 8. Let r be a(-3). Solve 0 = 5*k - 3*i + 17, 3*i - r = 4*k - 0*i for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -3*b + 14. Let l be w(4). Suppose -4*d = -l*d + 2*j, -3*d - 2*j + 3 = 0. Let f(m) = -m + 4 - 7 + d. Give f(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -23034 (base 10) to base 3\nAnswer: -1011121010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*a**3 + 5 - 5 + (-26 + 26 - 2*a)*(2 + 4 - 2)*(-5 - a**2 + 5).\nAnswer: 10*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*q**2 - 6316*q - 25296.\nAnswer: 2*(q - 3162)*(q + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from igrmg. Give prob of sequence mgr.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 169261 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 5058551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7371?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 3\/40 of a milligram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1.818 + 1.518. Which is the fourth smallest value?  (a) 4  (b) -3\/5  (c) s  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -5*-1*(-66)\/(-15). Suppose -q*b - 88 = -26*b. Calculate the lowest common multiple of 10 and b.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 269193 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6020?\nAnswer: 2, 5, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 50328.1 - 50328. Let u(t) = -t - 2. Let j be u(-5). Let x be ((-3)\/38)\/(j\/(-4)). Which is greater: i or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 91 is divided by 53.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 4 + 5. Suppose -6*u - 45*u = -23*u - 896. Calculate the lowest common multiple of v and u.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine d, given that -d**5 - 139*d**4 - 1007*d**3 + 5599*d**2 + 30048*d + 23580 = 0.\nAnswer: -131, -10, -3, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 6, s: 13}. Give prob of sequence tsst.\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*u - 2 + 2 - 20*u + 7*u.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 162636?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 838 + -805. Is (1*2809)\/(h - 32) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -41413*u + 41414*u + 13 for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -38*g - 6. What is v(-1)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -12, -16, -16, -6, 20?\n\"Answer: k**3 - 4*k**2 + k - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 18*r - 17*r - 1060535. Let d be ((-184214)\/(-4))\/((-2)\/(-80)*-4). Let i = d + r. What is i rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 205, 141, 43, -89, -255, -455, -689?\n\"Answer: -17*b**2 - 13*b + 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2626 = 3*s + 23*s. Calculate the remainder when s is divided by 27.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -5878*g**5 - 2*g**3 - 10063*g**2 + 5*g.\nAnswer: -352680*g**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of d**3*u**3 + 4*d**3*u - 29*d**3 + 251*d**2*u - 5336*d*u**5 wrt u.\nAnswer: 6*d**3*u - 106720*d*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 13\/791 and (31 + 27)\/(-10 + -102).\nAnswer: 6328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -2 + 1 + -3 + -2. Calculate the remainder when 35 is divided by -2*-6*h\/(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:24 AM and 4:01 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -47*u**2 + 1. What is j(-1)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 800 and 6336?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -f**3 + 5*f**2 - 5*f + 3. Let b be d(3). Let s be 0\/(-3)*(-2)\/b. Solve 1\/3*v**2 + 2\/3*v + s = 0 for v.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -5 + -60?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*q + 4*d = -8, -3*d + 7 = 8*q - 13*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -q + q + 17*q**2 + (0 + 1 - 2)*(3*q**2 + 2*q**2 - 3*q**2).\nAnswer: 15*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 406 minutes after 1:34 PM?\nAnswer: 8:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 16 and 218.\nAnswer: 1744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 91 minutes after 6:05 PM?\nAnswer: 7:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*((1*sqrt(84) - sqrt(84))*1 - -1*1*sqrt(84)))\/((1*sqrt(96)*-1)\/(sqrt(16)\/(sqrt(2) + sqrt(18)))).\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (-8 - 0) + (201 + -159 - 26)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -518 + 521. Solve h*w + 2*w - 45 = -5*y, 0 = -5*y + 25 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1100111101111001101 + 1010011111?\nAnswer: -1100111100100101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*x**3\/3 + 18*x**2 + 100*x\/3.\nAnswer: 2*x*(x + 2)*(x + 25)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -s**3 - 3*s**2 + 10*s + 4. Is 25 a factor of p(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 12, -22, 0.1, -6 in increasing order.\nAnswer: -22, -6, 0.1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express z**2 + 47*z**3 - 2636 - 45*z**3 - 2*z + 2634 - 72*z**4 in the form l*z + i*z**2 + t + d*z**4 + m*z**3 and give d.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24224*i**2 - 2 + 12093*i**2 + 12072*i**2.\nAnswer: -59*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s + 0*s = 58. Let z = 5 + s. Suppose p - 3*p = -18. What is the remainder when z is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = 307*w + 32. What is the tens digit of t(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*v + 5*y - 20, v + 3*y - 7 = -1. Let n(k) = k**2 - 4*k - 7. Let x be n(6). Let g(c) = 6*c - 4*c - 6*c**2 + x*c**2 + v. Calculate g(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6424123 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 22163872361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -51 = 58*w - 75*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 291 minutes before 8:24 PM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 823670*t**4 - 42*t**3 - 43163*t**2 - 2420*t.\nAnswer: 19768080*t - 252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 693 and 54?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/8, 1, -3, 17 in decreasing order.\nAnswer: 17, 1, -1\/8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -3*d**2 + 5*d + 9. Let j = -1822 + 1827. Give i(j).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 26 + -19. Suppose 32 = s*x + x. Suppose 2*g = -4*b + 7*g + 115, 63 = 3*b + x*g. Is b a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 362*f**2*r - f*r + 28*f wrt f?\nAnswer: 724*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1 - 3) + (-4 - -9 - 1). Suppose h = 14*m - 9*m. Solve 4 = -4*o, 4*o = -4*i - m*o + 4 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9819000 rounded to the nearest 100000?\nAnswer: 9800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1993542?\nAnswer: 2, 3, 53, 6269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 2.2, -3, -1\/9, -98, 0, 2 in ascending order.\nAnswer: -98, -3, -1\/9, 0, 2, 2.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 5*c - 5. Suppose -c*o = 2*o. Suppose 894 = 4*v - 0*q - q, 5*v - q - 1117 = o. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7674646 + 260.\nAnswer: -7674386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1301527 is divided by 185908?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*l + 3*l - 111. Suppose -4*w - 5 = -l. Suppose -3*k - w = -5*h, 3*k - h + 5 = 1. Sort 2, 4, k in decreasing order.\nAnswer: 4, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 44 divide 873444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 119266349*x**2 - 307712068.\nAnswer: 238532698*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) be the first derivative of -627*d**2 - 3270. Let l(u) = -3*u. Give t(l(j)).\nAnswer: 3762*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2 + (-13)\/7 + 0. Which is the nearest to 0?  (a) o  (b) 5  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 1, f: 2, p: 4, x: 1, j: 3}. What is prob of picking 1 f and 1 p?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 20468*q - 8288?\nAnswer: 20468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 12382916287 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 6*x**2 + 3*x + 2. Let q be j(-1). Let l(p) be the third derivative of 1\/6*p**4 + 5\/6*p**3 - 1\/60*p**q + 0 + 0*p + 2*p**2. Calculate l(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1998 - 1995. Solve u*q + 4 = 2*z, z - 5*q - 2 = -8*q for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h = 4*v + 16, 0 = 2*h - v - 6 - 3. Solve -5*t = 5*p - 20, h*p - t + 10 = -0*t for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -9*j**4 + 31152*j**3 + 23367033*j**2.\nAnswer: -216*j + 186912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -10.01 to one decimal place.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = 46*b**2. Let v(f) = 6*f**2. Give d(v(n)).\nAnswer: 1656*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1 + -3ef0?\nAnswer: -3eef","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 29434773, 58869561, 88304349, 117739137, 147173925?\nAnswer: 176608713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 65 - 1*(0 - 2). Suppose n*h - 54 = 64*h. Let v = -63 - -134. What is the remainder when v is divided by h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -16d - 1bb4?\nAnswer: -1d21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/3 in -2, -0.5, 2\/301, -3\/365?\nAnswer: 2\/301","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2ba (base 12) to base 9.\nAnswer: -527","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) be the second derivative of -3*g**4\/2 - g**3\/3 + 3*g**2\/2 + g. Let v be t(2). Let w = 104 + v. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y - 4 = -14, -5*t + 3*y + 105 = 0. Suppose -19*k + 3557 = -t*k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 - (1 - 1 - -3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 1\/5 of a meter?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -2 * 24717\nAnswer: -49434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2144211 - -11?\nAnswer: -2144200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -0.412  (b) -4\/3  (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (3334\/10 - -2) + (-9)\/(-15).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*j + 5*j + 3*j)*(-144*j**2 - j**4 + 3*j**3 + 144*j**2).\nAnswer: -14*j**5 + 42*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -124 or -495\/4?\nAnswer: -495\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.0298239 minutes to microseconds.\nAnswer: 1789434","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3*(-1)\/6)\/((-1419)\/946).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 8 - 2. Let a = m - 6.0000002. What is a rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 570 minutes before 6:12 AM?\nAnswer: 8:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 2\/14 - (-38)\/(-21) - 371\/(-63) and 169\/588.\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 310 minutes after 5:47 AM?\nAnswer: 10:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*h + 272 = 737. Let s = h + -16. Is s a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 5*u - 24 = 0, -4*u + 3 = 2*s + 9. Suppose 0 = s*h + 3*c - 27, -4*h + 43 = -2*c + 7. What are the prime factors of h\/(-1)*(7 - 10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -10 + (4 - (-4 + 13)). Round f to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 3 + s**2 + 3*s + 0 - 10*s. Let c = 65 + -57. Is u(c) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 391\/2 - 196. Let h = -1.28 - 3.72. What is the closest to z in h, -2\/9, 3\/8?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -32*x + 19*x + 2*x**2 + 13*x.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express 160 - a + 404*a**4 - 401*a**4 + 0*a**3 - a**3 + 327 - 100 in the form g*a + u*a**2 + n + r*a**4 + f*a**3 and give n.\nAnswer: 387","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-188)\/14 - (2 + -54 + 38)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 24 - 0. Let q be j\/(2*(-2)\/(-8)). Calculate the greatest common factor of q and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.0647 and -0.09?\nAnswer: -0.005823","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 18 and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 121 + 255484?\nAnswer: 255615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 11824 to the power of 1\/2, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in -1, 30, -2\/17, 4\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 139021 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h\/(((h\/(h\/h**(-2\/51)*h))\/h*h)\/h))\/h**(1\/21)*h\/h**(-2\/23)*h*h**(-2\/9)\/h*h)**2 assuming h is positive.\nAnswer: h**(239252\/24633)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 60 + (-2 - (-3 + 6)). Calculate the greatest common factor of k and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 27 and 105?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -9, -4, -190?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 821 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 1588*h**2. Let n(o) = 19*o. What is x(n(k))?\nAnswer: 573268*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -9*h**2 - 1797*h + 157815. Calculate q(66).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -y**2 - 6*y. Let t be q(-6). Let l be t\/(-3)*(-2 - -1). Let h = 110 + -93. Put 2, h, l in decreasing order.\nAnswer: h, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -395\/306 - -21\/17. Let b = 87 + -84. Suppose 2*h - 6 = 4*d, 0 = -d + h + b*h - 5. Which is smaller: d or p?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/(c\/c**5))**(-22) assuming c is positive.\nAnswer: c**(-110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 34\/6 - (-12 + 17).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1620 and 495?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -112*v + 243*v - 104*v = 54. What is the nearest to v in 0.04, 2, 1, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -1563, -12256, -41077, -97026, -189103, -326308, -517641, -772102?\n\"Answer: -1500*b**3 - 64*b**2 - b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -37, 230, -4, -3 in descending order.\nAnswer: 230, -3, -4, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Are 33\/8 and 3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 33, 2, 0, 227, -9, 78 in descending order.\nAnswer: 227, 78, 33, 2, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r = 4 + 1. Let i = -2 + 1. Suppose 4*g + 0*f - 4 = -4*f, 2 = -f. Put i, r, g in decreasing order.\nAnswer: g, r, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 4, w: 3, f: 7}. What is prob of picking 3 w?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = 4*h**3 + 4*h**2 + 2*h - 7. Let d be r(3). Suppose 0 = -3*j - 17 + d. What is the tens digit of j + -3 - (-3 + 4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -5.61 greater than or equal to 2\/15219?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does -19 = 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((b\/b**(3\/5))\/b)\/(b\/(b\/(b*b**(-1)))))\/((b*(b**5\/b)\/b)\/(b\/(b*b*b**4)*b)))**(-1\/17) assuming b is positive.\nAnswer: b**(43\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + (sqrt(162) - ((sqrt(162) - -1*(1 + sqrt(162))) + sqrt(162)))*2 + sqrt(162) + 2*sqrt(162)*-2 + 6*-3*sqrt(162))**2 + -5.\nAnswer: -900*sqrt(2) + 101249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 19522 is divided by 4871.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1790, -2717, -4114, -5993, -8366, -11245, -14642?\nAnswer: -18569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**(9\/5)*w**32*w**(-4\/5)\/w*(w\/w**(-13\/3))\/w assuming w is positive.\nAnswer: w**(109\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*r + r + 124. Suppose -r - 29 = -6*a. Is a a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*a - 5*g - 3 + 5, a + 5*g - 6 = 0. What is the nearest to 1 in 0.5, 3, a?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -2\/141 and (-12)\/((-2)\/24 + -2*(-1194)\/144).\nAnswer: 1551","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 16416700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = -p + 2*p + t, 3*p + 5*t = 35. Suppose p*w - 85 = 20. Calculate the remainder when w is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 69 = 2*s. Suppose 3*x + s = 2*r - 20, -5*r = -2*x - 25. Let h = x + 28. What are the prime factors of h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 7, l: 3, s: 6, t: 1, k: 2}. Give prob of picking 3 l.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/3?  (a) -2\/7  (b) 0.15  (c) 0.3  (d) -4\/7  (e) 170\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - 2 = -5. Solve -w*b - 3 = 3*u - 9, -2*u = 5*b - 10 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1021*m**2 + 1069*m**2 + 775*m**2)*(6*m + 3*m - 4*m) in the form i*m**3 + k*m**2 + n + w*m and give i.\nAnswer: 4115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 63429488?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is m in 1486*m**5 - 13338*m**4 - 16670*m**3 + 12978*m**2 + 15184*m + 360 = 0?\nAnswer: -1, -18\/743, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3520*l = -3507*l - 111956. What are the prime factors of l?\nAnswer: 2, 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*v**2 + 0*v + 14*v + 5*v**2 + 3*v**2.\nAnswer: 2*v**2 + 14*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 1963071 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -362 divided by 19.\nAnswer: -362\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -9524, -37783, -84886, -150833, -235624, -339259, -461738?\nAnswer: -603061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -488*r = 481 + 115 + 380 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i\/(i*i*i*i*i*i**(-7)\/i*i))**25\/((i\/i**(-4\/11))\/i**(-12\/7)))**(-2\/5) assuming i is positive.\nAnswer: i**(-11076\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 - 1 = -5*p + 2. Solve -y + 1 = t, -2*y + 11*t - 6*t + 9 = p for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 149487562.\nAnswer: 2, 7, 17, 36947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 27272571 is divided by 823.\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 409762 - 2*y**3 - 409762.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 4350742 and 14?\nAnswer: 30455194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4049*v - 1869*v + 1982*v.\nAnswer: 4162*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7*z**2 - 13 + 13)*(2*z**2 + 10*z**2 - 19*z**2) + (-2*z**2 + 0*z**2 - z**2)*(22*z**2 + 19*z**2 - 11*z - 42*z**2).\nAnswer: -46*z**4 + 33*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -r - r**2 - r**3 - 13*r**2 - 7*r**2 to l*r + i*r**3 + z*r**2 + v and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 52217360?\nAnswer: 2, 5, 13, 23, 37, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -137901\/55 + 2507. Let q = f - -1\/11. Let b = 0 + -1. Is q less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2 + -3\/2. Let p = -9.5 - -9. Let d = 0.4 + p. What is the second biggest value in 5, d, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 81 - 79. Let d(b) = 4*b**2 - b. Let s(q) = 5*q**2 - 2*q - 1. What is h*s(j) - 3*d(j)?\nAnswer: -2*j**2 - j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*z + 52 = -169 - 619. Calculate the highest common factor of z and 1208.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o + 4*x = 634, 5*x = -0 + 5. Let s = o + -225. What is the greatest common factor of s and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00083465 to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2 - -17. Let v(c) = -c**3 - 2*c**2 - c + 2. Let g be v(-2). Suppose g*u = -0*u + 4. Solve 0 = -3*b - d, -5*a + 5*b + 9 = -u for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 113410 and 83930.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 255 and 96084?\nAnswer: 480420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 6) in base 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.073 rounded to 0 dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 99151 + 7583 = -2*k, -3*t + 9*k + 68676 = 0. List the prime factors of t.\nAnswer: 2, 59, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -i**2 + 11. Let n be k(0). Suppose -8*g - 1023 = -n*g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -206655, -206653, -206651, -206649?\nAnswer: -206647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 168 is divided by 85.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 27*g**2 - 82*g**2 + 22 + 32*g**2 - g + 28*g**2 to the form z*g**2 + j*g + t and give t.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k - 5 - 3 = 0. Let h = -4 + 14. What is the second derivative of 12*r - h*r + 3 - 3 - 4*r**k wrt r?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-2 + (0 - -1))*-12. Let l be (-4)\/y - 0\/1. Let i be ((-2)\/12)\/(11\/33). Which is the nearest to 0.3?  (a) i  (b) l  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 141 + -88. Let u = -50 + f. What is the units digit of u + (2\/1 - -69)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -52 + 55. Solve 2 = t*f - 7 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*m + 715 = -595. Does 19 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -6*u - 0. Suppose -u*i + 4*i = 8, 4*i = -2*m + 152. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 905\/2 or -42355?\nAnswer: -42355","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 175 a factor of 39649750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*y + 10 = 5*w, -5*w + 4*w = -y - 10 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 7604520 divided by 33?\nAnswer: 230440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -61 + 23?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*r - 4 + 4. Suppose -249 = -b - 4*w - 43, r = -w + 5. List the prime factors of b.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (0 - (-2)\/2)*4. Let f be (4 - c)\/(8\/4). Solve -t - s + 7 = f, 26 = 2*t + 3*s + 2*s for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16102.\nAnswer: 2, 83, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -47, -1\/2, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 0  (b) 2\/11  (c) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-12)\/9)\/((-6)\/(-27)). Let f = 5 - 20. Let s = x - f. What is the remainder when 17 is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -416*r**4 + 263*r wrt r?\nAnswer: -4992*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-4)\/(-20) + (-1893)\/(-135). Let b = -298\/21 + x. Are b and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2064 and 3354?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y = -3*y + 30. Let t = y + 10. What is the second derivative of -17*j**4 - 18*j + 4*j + t*j + 8*j wrt j?\nAnswer: -204*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 22302930, 44605857, 66908784, 89211711, 111514638, 133817565?\n\"Answer: 22302927*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - 3*z - 8 = 0, 15 = 3*x + z - 1. Let p be 16\/12*6\/x. Suppose 0 = 2*c + p*c - 216. Calculate the remainder when c is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = m**2 - 25*m + 12. Is x(33) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 30848 is divided by 10274?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -20*x**3 - 31*x**2 + 16. Let w(a) = -4*a**3 - 6*a**2 + 3. Determine -2*i(q) + 11*w(q).\nAnswer: -4*q**3 - 4*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -16 minus 0.647211?\nAnswer: -16.647211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d = 5*d - 2. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -211 = -v - z, 3*v = -4*z + 2*z + 631. Suppose -4*u + 311 = -v. Let a(q) = u - 2*q - 130. Let o(r) = -2*r**2. Determine o(a(y)).\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 1, l: 3, e: 1, q: 5, t: 5}. What is prob of picking 2 l and 2 t?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 29746 (base 10) to base 4\nAnswer: 13100302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 29\/70 and -25\/56?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s = -0*s + 4, -z = -4*s - 25. Let y = -19 + z. Solve -5*m = -5*v - 35, -5*m + y = -2*v - 10 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8 + 19 + -1 + (5 - -22) + 21.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -4265*u**2 - u - 1636 wrt u?\nAnswer: -8530*u - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -v**2 - 8*v - 8. Let z be m(-6). Solve 4*o + 0*l - 36 = 4*l, 3*o - 32 = z*l for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d = 10 - 2. Let m = d + 2. Suppose z = 5*z - 4*v - 108, -3*v = m*z - 94. Calculate the greatest common divisor of 10 and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -52*g**4 + 20*g**3 - 1972*g**2?\nAnswer: -1248*g + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 32 and 36016?\nAnswer: 72032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 3\/11  (b) -5  (c) -3  (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -298 + 156 + b**3 + 212.\nAnswer: b**3 + 70","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 26 + -6. Let y(t) = 4*t - 34. Let s be y(7). What is the least common multiple of (s\/4)\/(3\/(-24)) and j?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -186*i**4 - 3*i**3 + 188*i**4 - 940 + 939 + 19*i**2 + i to the form w*i**3 + f*i + o*i**4 + v*i**2 + d and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 2252, -3 in increasing order.\nAnswer: -3, -2, 2252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = x - 4*n, -n - 2*n = -2*x - 1. Suppose -3*j = x*v - 10, -2*j + 4 = 2*j - 4*v. What is the greatest common factor of j and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 at least -11551\/13192?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 5, k: 2}. Give prob of sequence ok.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 945221118 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i - 945 = -5*i. Suppose 3*a - 9 = -0, -3*l - 3*a = -i. What is the greatest common divisor of 40 and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 896650 = 896654?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 3050335 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*z**3 - 2*z + 2*z + (2 - 2 + 2*z)*(2 + z**2 - 2) + 0*z**2 + 2*z**3 + 0*z**2 as u*z**2 + h*z + s*z**3 + g and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -89837 - -89900.99892. Let p = g + -64. What is p rounded to 4 dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-60)\/(-1050)*10\/(-1)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a**(-1)\/a)\/a)**44\/((a**0*a)\/a)**37)**12 assuming a is positive.\nAnswer: a**(-1584)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -110 (base 2) to base 12\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -9, -1, -5, -77, -714 in descending order.\nAnswer: -1, -5, -9, -77, -714","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 3*a + 37 = 0, q + 3*q - 47 = -3*a. Suppose -y - 2*k + 43 = -q, 0 = -2*y - 3*k + 112. Suppose y = 2*z - 11. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -11 + 0*x + x - 5 + 15. Let o be g(1). Solve -r = -o*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 124 divided by 31?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 11*d + 7 - 51 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 2*f = 2730, -3*g + 4090 = -18*f + 20*f. Does 21 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) be the first derivative of -c**6\/15 + c**4\/2 - 2*c**3\/3 - 2*c - 1. Let g(u) be the first derivative of s(u). What is v in g(v) = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + -3 + -34 - (-317 + 275)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000000186380671 to seven dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-k - 4*k + 3*k)*(-393*k - 1082*k - 1238*k) - 3 + k**2 + 3 to h*k + p*k**2 + b and give p.\nAnswer: 5427","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3118 + 3124. Solve 4*v - 7 = 8*v + 3*o, 2*o = -3*v - x for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1001111111001100 (base 2) to base 3.\nAnswer: -2002010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -38*w**2 + w - 2. Let l(h) = 3*h**2 - h. Calculate -a(r) - 5*l(r).\nAnswer: 23*r**2 + 4*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*g + g + 20. Let p be 10\/(-16) + 2\/g. Suppose 30 = 3*t + 7*n - 12*n, -3*t + 3 = 4*n. Put p, -1, t in descending order.\nAnswer: t, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*z + 234109 - 233671 = -15*z for z.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o = 3*s + 9, s = -0*s + 2*o. Let q = s - -8. Let m be ((-26)\/10 + 3)\/((-1)\/(-5)). Is q less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a century in months?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 9 - 13.2. Let g = y - -4. Let d = -10697 + 10686. Do d and g have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 145989816 divided by -2606961.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1 - (-15)\/5 - -5) + 26302 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1110100 - 10001100?\nAnswer: -100000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*f**3 - 2*f**3 + f**3 + (-2*f**2 + 12*f**2 + 21*f**2)*(2*f + 1 - 1) in the form o*f + h + z*f**2 + k*f**3 and give k.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7\/3 - 4\/12 - 7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 16\/(-48) + (-19)\/(-12) - 1. Let q be -9*(-7)\/(-42)*2\/60. Which is the closest to h?  (a) -3  (b) q  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 1, -4, -216, -2 in decreasing order.\nAnswer: 5, 1, -2, -4, -216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(-3 + 0 + -3*(-1*sqrt(45) + sqrt(45)) + (sqrt(45) + -1)*-2) + 5)**2.\nAnswer: -72*sqrt(5) + 1624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 44 = -2*m + 4*m. Let d = 28 - m. Suppose d*f - 16 = 2*f. Solve -2*h = -y - f*h - 6, -3*h - 4 = -y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*i - 5*g - 173, -3*i = -6*i + 4*g - 91. Let v = 39 + i. Solve -v*l - 2 = -l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -409435*v**5 - 5*v**4 + 17*v**3 + 2*v**2 + 81343*v + 72 wrt v.\nAnswer: -24566100*v**2 - 120*v + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -10 + 4 + (-2 - 3 - -2) + -1\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*q + 7 + 19 = -2*b, 0 = q - 5 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = m + 17. Let d be n(8). Let o = 23 - d. Sort o, -5, -3 in descending order.\nAnswer: o, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 111 + 0*3\/(-9). Calculate the common denominator of -31\/22 and d\/8*(0 - (-10)\/(-675)).\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-18038)\/4354)\/((-4)\/(-28))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (240\/14)\/2*(-159124)\/(-28415).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*f + 3*f - 2*f)*(2*f**2 - f**2 + 4*f**2)*(2 + 1 - 1 + (4 - 3 + 1)*(-3 + 0 + 2) - 4 + 5 + 1 + (7 + 3 - 3)*(5 - 1 - 1)).\nAnswer: 115*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8 - 7 - 16\/80*-15.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 49558?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = 19*v**2 + 2207*v + 5284. Let t(k) = k**3 + 10*k**2. Let b(f) = g(f) - 2*t(f). Find the first derivative of b(p) wrt p.\nAnswer: -6*p**2 - 2*p + 2207","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 20244?\nAnswer: 2, 3, 7, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = s**3 - 60*s**2 - 1768*s + 90535. Calculate w(66).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 125 + 6. Suppose 0 = -4*a + 3*a + k. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 6 = 3*u, -u + 4*m - 14 = -0*u. Factor 0 - 2\/5*q**u - 4\/5*q.\nAnswer: -2*q*(q + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -199.3 and -93?\nAnswer: 18534.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**(3\/5)\/l*l*l**1*(l**(-2\/5))**(1\/10)*(l**(-1\/9)\/l**0)**(-24\/5) assuming l is positive.\nAnswer: l**(157\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 429 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (104\/168 + (-6)\/21)*-2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = t**3 - 3*t**2 + t + 2. Let k be f(2). Suppose k = 2*d - 3*r - 28 - 73, 3*d - 135 = -r. What are the prime factors of d?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -29 = -1035?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*f + 5*o, -2*o - 2*o - 15 = -f. Suppose 3*q + 0 = -5*r + 6, f*q - 6 = -r. Suppose r = 4*j + w - 114 - 60, 178 = 4*j + 3*w. Is 12 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.1, -1\/57, 1\/3, 139.1, -5, 2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is (6 - 11) + -6 + 1 - 7?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tnw when three letters picked without replacement from {w: 1, d: 1, n: 2, t: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000588 to 7 decimal places.\nAnswer: -0.0000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*y - 110 = 62*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1\/(-6)*4\/5. Suppose j = -0*j + 27. Let m be 15\/28 - j\/108. What is the second smallest value in m, h, 0.5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/(-2))\/(((-28)\/((-66528)\/(-180)))\/((-10)\/1)).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w = -75*r + 80*r - 12, -14 = -4*r + 3*w. Which is the nearest to r?  (a) 4\/13  (b) 6  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -8 - -12. Suppose 2*m - 8 = i*g, -4*m + 12 = m - 2*g. Suppose -c - o = -0*c - 297, m*c + 5*o - 606 = 0. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 4235781 and 5170?\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1\/(-2) + (-117)\/(-26). Suppose -2*j - o = 2*o - k, 2*j - 4 = -4*o. Factor 4*m**2 + m**3 - m**4 + 2*m**3 + 0*m**4 - m**5 + 2*m + m**j.\nAnswer: -m*(m - 2)*(m + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*a = 5*a + 15. Let n be (-39)\/a*(-4)\/4. Let l = 21 + n. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 49 - 55. Let r(a) = a**3 + 5*a**2 - 4*a + 4. Calculate r(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t + 6*y = 11*y - 100, y = 2. Suppose -10*i = -12 - t. Calculate the lowest common multiple of 102 and i.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = -8 - 6. Let d = w - 8. Solve -d = 3*i - 5*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-8)\/(-6)*(-3)\/(-2). Suppose -5*w + 15 = -d, 0 = -3*d - u*d - 2*w + 60. Suppose 5*m - 25 = -d. Does 3 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -219 + 224. Suppose -48 = -4*p - 2*v, -5*p = t*v - 2*v - 62. Calculate the remainder when p is divided by 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:55 PM and 11:10 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 38 divide 448?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 891011999 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0029829039 rounded to 5 decimal places?\nAnswer: 0.00298","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1519321165?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*r - 6 - 4 + 9)*(-88 + 13*r + 88) to the form j + s*r + p*r**2 and give s.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 167 minutes before 7:27 PM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jjjwwjwjjoojwj. Give prob of sequence ow.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -f - 1. Let g be j(-6). Let n(i) = 6 - 11 + 4 + 2. Let r(p) = p**2 - 4*p - 3. Let s(m) = n(m) - r(m). Calculate s(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) be the third derivative of 2*f**5\/15 - f**2 - 33*f. Let n(b) be the second derivative of -b**4\/3 - b - 17. Determine n(h(v)).\nAnswer: -256*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: Does 324 divide 353620?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) be the second derivative of -82*h**3\/3 + 11*h**2\/2 - 10*h. Let s be z(-1). What is the highest common divisor of 25 and s?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -2*p**2. Let l(t) = -237*t**2. Determine a(l(j)).\nAnswer: -112338*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -345*p**3 - 2504*p**2 - 8*p - 66754011 wrt p.\nAnswer: -1035*p**2 - 5008*p - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n = 2*i - 42, 3*n - i + 0*i = 24. Solve 3*a + 5*q + 7 = 2, 3*q = -3*a - n for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2333 (base 6) to base 3.\nAnswer: 202210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2 - 1124000?\nAnswer: -1124002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 5, j: 3, r: 3, o: 3, f: 4}. Give prob of picking 3 o.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 129 + 58 - 51*w - 18*w - 190.\nAnswer: -69*w - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1673.54 + -1672. Which is greater: 2 or s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 230 is divided by 77?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 0.4745324 millilitres?\nAnswer: 0.0004745324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -742, -5, -27, 3 in descending order.\nAnswer: 3, -3, -5, -27, -742","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 9*i**2 + 19*i**2 - 11*i**4 - 18*i**2 wrt i?\nAnswer: -264*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1865 to the nearest one hundred.\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 5, o: 2, g: 5, h: 5}. What is prob of picking 2 h?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 47670563?\nAnswer: 19, 103, 24359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -10*u - 2. Give p(-4).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -28*p - 1 + 3 - 2.\nAnswer: -28*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1771684*s**3 - 425*s**2 - 992*s wrt s?\nAnswer: -10630104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -3 + -4 + 5 - -7. Let x(u) = -u**3 - 2*u**2 + 2*u - 2. Suppose 0 = -2*l - 4*l + 12. Let f(v) = v**3 + 5*v**2 - 5*v + 4. What is g*x(m) + l*f(m)?\nAnswer: -3*m**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -t**2 - t - 1. Let g(p) = -9*p**2 - 7*p - 8. Let a(m) = g(m) - 6*o(m). Let w(r) = 7*r**2 + 2*r + 3. Let d(f) = 5*a(f) + 3*w(f). What is d(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 2*m**3 - 18*m**2 - 16*m + 22. Let v be ((-20)\/7)\/(11\/(616\/(-16))). Is 13 a factor of z(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.251 - -0.161. Is -11 <= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cncsnxhnnqncq. Give prob of picking 2 q.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) be the second derivative of 1\/6*t**3 + 1\/24*t**4 + 1\/4*t**2 + 3*t + 0. Let y(w) = 0. What is w?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9*8\/12*(-212)\/3816?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.79 and -0.172.\nAnswer: 0.13588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 707794261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*a - 9, -2*b = -5*b + a + 90. Let y = 58 - b. What is the remainder when y is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n + 7*z = 8*z - 20, -3*n - 12 = -4*z. What is the nearest to 0 in 0.4, n, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 402416958.\nAnswer: 2, 3, 37, 1812689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 44436773 is divided by 349.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5299755, 5299780, 5299805?\nAnswer: 5299830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hhhhhhhtthtthhhhhh. Give prob of sequence htt.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0 + 1 - 1 + 2*c**3 + 2*c**4 - 5*c to the form k*c + b*c**2 + y*c**4 + j*c**3 + l and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t = -5*g + 23, -5*t = 3*g - 3*t - 11. What are the prime factors of (2 + (38 - g))\/((-4)\/(-28))?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -9 + 10.6. Let l = 1.6037 - v. What is l rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14*-1518.\nAnswer: -21252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 3179067685 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15 is divided by 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 17 + 4*p + 2*p**2 - 16 - 12*p**2 - 2*p**2 to the form i*p**2 + s + z*p and give i.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 15589665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*h + 2*h - n - 12, 3*h = 3*n + 12. Suppose -5*l + 3*s = -282, s = h*l - 0*s - 113. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 25228 + -15497. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -39  (b) -8\/7  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -143\/2052 and -81\/76?\nAnswer: 2052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0003755942 rounded to six dps?\nAnswer: -0.000376","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -721751 + 57488\nAnswer: -664263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 3 + -2 + 115 - (3 - 4). Suppose -72 - i = -9*y. Let t(r) = -19*r - 1. Calculate the smallest common multiple of t(-1) and y.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 20003203003203 + -10?\nAnswer: 20003203003133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) be the third derivative of p**4\/8 + 4*p**3\/3 - 8*p**2. What is the derivative of c(t) wrt t?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 313 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -19812*0.3.\nAnswer: -5943.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 23326844?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.4 and 17.\nAnswer: 6.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -6066 rounded to the nearest 100?\nAnswer: -6100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -5 - -2744?\nAnswer: 2737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (0\/1 - 6)*(-11)\/11. Let a be ((-250 - -2) + (4 - p))*-136. What is a rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 32 is divided by (-170)\/(-12) - 4\/24?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 25\/87174 and 13\/2610.\nAnswer: 435870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Determine a so that 2*a**4\/7 - 954*a**3\/7 + 25294*a**2\/7 - 67350*a\/7 = 0.\nAnswer: 0, 3, 25, 449","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -112, -491, 3339 in ascending order.\nAnswer: -491, -112, 3339","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 6 or -23878?\nAnswer: -23878","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*l - 2 - 4, 0 = -5*r + 5*l + 13275. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (4 - -1) + (-7 + 1 - (-509 + 440)). What is the highest common divisor of g and 6579?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.1  (b) 13\/3  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 72 and 96?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 6493 (base 10) to base 6\nAnswer: 50021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 32 and 472.\nAnswer: 1888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, -3, 194, -4 in decreasing order.\nAnswer: 194, -3, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 + (-1 + -2 - (-2 - 0)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -450*u**2 + 466*u**2 - 2 + 2*u + 0 + (2 - 2 - 2)*(3*u**2 - 2*u**2 + u**2) + 4*u - 4*u + 2*u**2 + 5*u**2 - u**2 - 3*u**2.\nAnswer: 15*u**2 + 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -r + 5 = 0, 4*k + 2*r = -5 - 9. Let l(f) be the first derivative of -f**2 + 3*f + 1. What is the units digit of l(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) be the second derivative of 0 - 14*v + 1\/16*v**4 + 3\/80*v**5 - 1\/40*v**6 - 1\/56*v**7 + 0*v**3 + 0*v**2. Factor u(f).\nAnswer: -3*f**2*(f - 1)*(f + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-66)\/(-14) - (-2)\/7. Let u be (-2 + 7)*(-18)\/(-30). Suppose 48*i - 21 = 55*i. Sort c, u, i in decreasing order.\nAnswer: c, u, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 32849 and 11663.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = c**3 - 23*c**2 + 27*c - 20. Let h be (-1)\/(2\/6*9\/66). Let d(t) = -t**2 - 24*t - 22. Let g be d(h). List the prime factors of u(g).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 5*b + 2*r = 40, 10 = 5*r. Let x = 11 + b. Solve x*k + 8 = 0, 11 = p - 2*k - k for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 62 + -10. Let i(b) = 6*b**2 + 3*b + 1. Let a be i(-3). Let p = v - a. Solve -d - p = 2*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1013 is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve t + 11*y + 1 = 8*y, -4*t + 2*y = 4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = 3*m**2 - 23*m + 129. Is 155 a factor of k(19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*d**2 + 11*d**2 + 0*d**2 - 5*d**2.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (-5 + 3*(0 + sqrt(108)))**2 + 5.\nAnswer: -180*sqrt(3) + 997","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -94 = -2*y - 114. What is the remainder when ((-132)\/y)\/(((-9)\/(-30))\/1) is divided by 8*2\/1 + -1?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3035?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -50b7cb + 1?\nAnswer: -50b7ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*c + 18223 = -3*v + 18184, -3*v + 33 = -4*c for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -2 - -2 - (-12)\/3. What is the first derivative of -4*f**4 - 2*f**4 + 3*f**s - 21 + 30 wrt f?\nAnswer: -12*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) be the third derivative of -k**5\/60 - k**4\/4 - 2*k**3\/3 - 2*k**2. Let w be a(-5). Sort -5, w, 4.\nAnswer: -5, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 939013 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 3.8444 to one decimal place.\nAnswer: 3.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.4  (b) 258  (c) 2  (d) -3\/7  (e) 3  (f) 2\/9  (g) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mmmmmmm. Give prob of sequence mmmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -2*r. Suppose 12 = 4*c, 3*u + 0*u + 12 = 4*c. Suppose 4*n = -u*n. Let f(z) = -2*z**2 - 2*z**2 + n*z**2. Determine a(f(h)).\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1 + -3231?\nAnswer: -3232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 192 is divided by 157.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 49 - 45. Suppose 0 = s*f + 3*k - 20, 3*f + 3*k = 2*k + 10. Solve 0*w = w + 4, 5*a + f*w = 17 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -235200569, -235200568, -235200567, -235200566, -235200565?\nAnswer: -235200564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = q**3 + 7*q**2 + 2. Let j be o(-7). Is j\/(-1) + 326\/2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 734638 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = 2*j - 1. Suppose -8*f + 194 + 150 = 0. Suppose 44*r - f*r - 6 = 0. What is c(r)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = l**3 - 5*l**2 + 4*l + 5. Let j be (0 - 0 - -2)*2. Let u be p(j). Suppose i = -i + k + 8, -u*i = -4*k - 26. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -15*m - 6. Let n be f(-5). Suppose -37064 + 41618 = 759*s. Calculate the greatest common divisor of n and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 132 (base 7) in base 13?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -9*d**3*t**3 - 63161*d**3*t**2 - 3*d**3 - 3*d*t**3 - 8*d - 132911*t**3 wrt t?\nAnswer: -54*d**3 - 18*d - 797466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -0.2, -1, -3, -24, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 30\/7 not equal to 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 31117.\nAnswer: 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.04  (b) 1  (c) 176  (d) -1009  (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 21370282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2137.\nAnswer: 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 91 - 241 = 5*y. Let u be (-4)\/2 - 64\/y. Suppose 4*q - q = -5*h - 15, -10 = -h + 2*q. Is u bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 24.5442116 rounded to 2 dps?\nAnswer: 24.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*u = -54*u - 806 for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o = -4*o. Suppose h + h - 12 = o. What is the second derivative of -v + h*v + 13*v**3 - 18*v**3 wrt v?\nAnswer: -30*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 4\/10 + 21\/(-30). Which is the nearest to 0.4?  (a) -0.05  (b) -14  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k = 4*w + 158 + 151, -66 = w - 4*k. What is the tens digit of 2\/(4\/(-23))*2184\/w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/(s*s\/(s*s**(-11))))\/s)**2 assuming s is positive.\nAnswer: s**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -3 - ((-15)\/(-1))\/(-3). Let t be (-61 + q - 1) + 0. What are the prime factors of t\/(-18) + 4\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -87624 + 87624 - 2*y**3.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 54243 is divided by 158?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find y such that -y**4\/3 - 131*y**3\/3 - 1316*y**2 + 22576*y\/3 - 18496\/3 = 0.\nAnswer: -68, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -h + 1. Let n(j) be the first derivative of 109 - 2*j - 1\/3*j**3 + 1\/2*j**2. Let i(k) = -k. Let g be i(-3). Determine g*o(w) + n(w).\nAnswer: -w**2 - 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000028346589 rounded to 6 dps?\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -3 and 10449702?\nAnswer: 10449705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 385.4 to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0.5, 2, -2\/15, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is (5 - (-4 - -1)) + -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -19\/10?  (a) 3  (b) 2  (c) 0.04  (d) 259\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 21\/8 of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*c**2 + 9740*c - 9735.\nAnswer: -5*(c - 1947)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) be the first derivative of -f**2\/2 - 5*f + 4841. Let y(x) = -12*x. Determine y(h(i)).\nAnswer: 12*i + 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 + -10 + 12 + 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = z**3 - 5*z**2 - 4. Suppose 26*h = 29*h - 15. Give r(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5792 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*v**2 + 44440*v - 222325.\nAnswer: 5*(v - 5)*(v + 8893)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 4034 - 1878. Suppose w + 3*h - 2*h = t, 0 = -3*h + 9. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find v such that -10*v**3\/13 - 227784*v**2\/13 + 1437870118*v\/13 + 575184492\/13 = 0.\nAnswer: -27927, -2\/5, 5149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) be the third derivative of w**4\/24 + 62*w**2 - 2. Let h(v) = 3*v. Let t be ((-2)\/2 + -1)*2. Let d(m) = -2*m - 2. Let z be d(-6). Give t*h(y) + z*r(y).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = v**3 - v + 4. Let x be w(0). Suppose 0 = -4*u + 4*n + 16, 5*u - 3*n + n = 32. Let r be (5\/(-2))\/(4\/u). Sort r, x, -2.\nAnswer: r, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 7 - (3 - 3\/3). Suppose -4*n = -3*n - d. Is 3 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) be the third derivative of -g**6\/120 + g**4\/24 - g**3\/3 + 3*g**2 - 2*g. Determine f(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -2218 - 0?\nAnswer: -2218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a*a**(-1)\/a*a)\/a)\/a*a)**(-38)*(a**(-6)*a*a*a)\/(a\/(a*(a*a**6)\/a)*a)*(a\/a**(-3\/10))\/a*(a*a**(-2\/7))\/a*a**(-5)*(a\/(a\/a**1))\/a*a assuming a is positive.\nAnswer: a**(2521\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -n**3 + 7*n**2 - 5*n - 4. Let z be f(4). Let j be 4\/z - 1\/(-2). Let u = -0.72 - -2.72. Put 1, j, u in ascending order.\nAnswer: j, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -65611.055869 + 65611. Let w = 0.956 - 0.9. Let n = x + w. What is n rounded to 5 dps?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 83\/600 and 101\/30920.\nAnswer: 463800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 84 + -27. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) be the second derivative of 0 - 3\/4*h**4 + 9\/2*h**2 + 3\/20*h**5 - 1\/2*h**3 + 26*h. Factor a(c).\nAnswer: 3*(c - 3)*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c\/((c**(-8)*c)\/c))\/(c*c**(-2\/33)))\/(c**(-2\/3))**5)**(-5) assuming c is positive.\nAnswer: c**(-1880\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 196 a factor of 2\/15 + 118352780\/3900?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4141232 (base 5) to base 8\nAnswer: 205335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) be the first derivative of i**9\/432 + i**6\/30 - 17*i**3\/3 + 9. Let j(o) be the third derivative of n(o). Find the third derivative of j(h) wrt h.\nAnswer: 420*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2812*i - 2819*i + 280 = 0 for i.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -1f2 (base 16) in base 14?\nAnswer: -278","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 202 - 202.0611. Let w = -0.2611 - f. Which is the smallest value?  (a) w  (b) -1\/15  (c) -2\/11  (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*u - 3*s + 403, u - 5*s + 101 = 38. Let o = u - -213. What is the remainder when o is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 586 minutes after 6:32 AM?\nAnswer: 4:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3 - -6. Suppose -2*c = -19 - w. Suppose 4*s - 14 = 382. What is the greatest common factor of s and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 10*j - 6. Let s be t(1). Suppose s*w = -9 - 3, -3*q + 12 = -2*w. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*k - 32*k + 938450 = 90*k. List the prime factors of k.\nAnswer: 2, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2, 18, 0.4, 3, 6\/145, -3, 0?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*o - 24*o - o)*(-79 - 846 - 1735 + 68).\nAnswer: 64800*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3.85 + -0.15. Let p = 2 + -1.6. Sort p, 2\/43, t.\nAnswer: t, 2\/43, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 43 is divided by (-48)\/(-4) + (2 - -2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 585257 and 190?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 473 - 478 = -5*r, -7 = -2*i - r for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 371 minutes before 2:03 PM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -9*j - 7. Let o(u) = 4*u + 3. Let k(v) = 3*i(v) + 7*o(v). Let c(x) = -2*x**2 - 7*x. Give c(r) + 6*k(r).\nAnswer: -2*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is j in -j**4\/3 + 3068330*j**3\/3 + 6136672*j**2 + 32*j\/3 - 98186752\/3 = 0?\nAnswer: -4, 2, 3068336","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 421640552?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**(2\/11)*w*w\/(w*w**4)*w**(-3)\/w**(-5) assuming w is positive.\nAnswer: w**(-9\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 555 is divided by 147?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*c - 8*j + 7*j + 7, 3*c = j + 14. Suppose -27 = -c*m - 24. Sort m, -3, 4, -2.\nAnswer: -3, -2, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 40921 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 144439376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) be the first derivative of u**4\/8 - 3*u**2\/2 - 3. Let t(i) be the second derivative of f(i). Let q(b) = b - 5*b + 3*b + 3*b. What is t(q(o))?\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide -115 by 127.\nAnswer: -115\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x + b = 2, -3*x + 2*x + 4*b = -18. Solve -2*v - x*v = 20 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -22*k - 385 + 27*k - 779*k**2 + 330 wrt k?\nAnswer: -1558","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 + (-4 - -5)*458 + 1 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 40, -181, 3\/5?\nAnswer: -181","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -111 + 110. Let v be (-15849)\/(-124) - 1\/(-4). Let y = v + -128. Which is smaller: y or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 460 by -92.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -47*u + 50*u - 6 = 0. Solve -u*p - 21 = 5*d, -16 = -d + 4*p - 7 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -9115*l**5 - 9227*l**5 + 18562*l**5 + (3*l**3 - 6*l**3 + 4*l**3)*(-5*l + 5*l - 2*l**2).\nAnswer: 218*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-3)\/(-2))\/(3\/(-6)) + 19877\/6116. Solve -v*u**3 - 27\/4 + 9\/4*u + 3\/4*u**2 = 0.\nAnswer: -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = s**2 + 6*s - 5. Let j be k(-10). Let o = j - 33. Suppose o*z - 2375 = -8715. What is z rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6885281 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 886 a factor of 12160642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y + 0*c - 4*c - 25 = 0, 5*y + 5*c = 175. Calculate the remainder when y is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nhtgmghigtthgnh. Give prob of picking 1 i and 3 g.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 60877 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 433 + -2?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 50*k - 20. Let q be x(3). Let b = q + -61. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from awaaawwwaaa. What is prob of picking 3 w and 1 a?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -c**2 - 8*c - 3. Let x(p) be the third derivative of -p**5\/10 - p**4\/12 + p**3\/6 + 2*p**2. Let k be x(1). What is the units digit of n(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 7 + 10. Let j = -1837 + 1837.11. Do s and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -2*x + 12. Let a be k(5). Let v(d) = d. Let o(c) = -8*c + 3. Let j(y) = -3*y + 1. Let s(h) = -11*j(h) + 4*o(h). Give a*s(l) + v(l).\nAnswer: 3*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 190381 = 2*g + 3*g, 2*g = 2*a - 95192. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -606 + 942. Is 21 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 148 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -472 + 449 - (-34 - 0)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -257 - -387. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) be the first derivative of -p**4\/2 - 194*p**3\/3 + p**2 + 194*p - 680. Suppose t(f) = 0. What is f?\nAnswer: -97, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15\/4 of a day in minutes?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -22359, -40647, -58945, -77259, -95595, -113959, -132357?\nAnswer: -150795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 4 divided by 3824\nAnswer: 1\/956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 26884?\nAnswer: 2, 11, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -n - 8. Let x(i) be the third derivative of 0 + 0*i**4 + i**n + 1\/240*i**5 - 1\/24*i**3 + 0*i. Factor x(g).\nAnswer: (g - 1)*(g + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*p**2 - 5210*p\/3 + 320396\/3.\nAnswer: -2*(p + 926)*(3*p - 173)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4547007 and 102.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -h, -2*h + 52 = 4*k - 5*h. Let n be k*((-20)\/(-8) - 3). Which is the second smallest value?  (a) -1\/8  (b) n  (c) -1\/9  (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 68575 is divided by 4568?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 34 + 6 + (1 + -7 + 13 - (22 - 12))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x - 36 + 1 = -5*b, -4*b = -5*x - 33. Let j be (1 + 6\/(-4))*2. Let r(z) = -z**2 - 17*z + 18. Let c be r(-18). Sort j, x, c.\nAnswer: x, j, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 21\/6 + 1\/2. Suppose -g*d = -d - 3. Let t be ((-4)\/(-6))\/(17\/3). Is d at most t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = f**2 - 33*f - 267. Let a be r(-7). Solve -10*o = -a - 17 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.6, -14\/5, -3, 3?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -4\/3, -1, 1\/8, -1.1, -18, -50, 1?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -67.49 to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 881558 and 7.\nAnswer: 6170906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = n**3 - 9*n**2 - 13*n + 5. Does 26 divide p(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2754354238.\nAnswer: 2, 1699, 810581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 141056390 and 81605?\nAnswer: 4295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -af7 - 0?\nAnswer: -af7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h = 4*d + 6, -4 = 5*d + 6. Put 0, h, -3 in ascending order.\nAnswer: -3, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*g + 26*g - g**2 - 7*g - 14*g.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -k - 2. Let z be a(-5). Let m = 0.12 - -4.88. Let s = -25\/287 - 1\/123. What is the third smallest value in z, s, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 439254 to the nearest integer?\nAnswer: 663","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*w - 18 = 15 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -h - 3. Let z be s(-3). Suppose 0 = 3*q - z*q - 54. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/j**(-1)*j)\/(j**1*j)*j*(j*j**2\/j*j*j*j)\/j*j**(1\/5)\/j assuming j is positive.\nAnswer: j**(26\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 1 - 2)*(7 - 16*h - 9 + 21*h).\nAnswer: -20*h + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -57 - 59 = -2*s. Let b = 51 - s. Let w be 3 - (b\/(-2) - 1). Which is bigger: w or -2\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.5  (b) -4\/3  (c) -0.04729  (d) 35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -3*d**2 + 14*d - 5. Let b be o(4). Sort 0.1, 2\/13, b, 2 in increasing order.\nAnswer: 0.1, 2\/13, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -17425*u. Let c(o) = -1739*o. Determine c(w(i)).\nAnswer: 30302075*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) be the second derivative of -n**4\/12 - 5*n**3\/3 - 3*n**2 + n. Let w be a(-9). Find r, given that -4 - r - 2*r + w - r**2 + r = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d\/(((d*d**18\/d*d*d)\/d*d)\/d))\/(d**(-12\/5)*d*d))\/(d**18\/d**(-2\/11)) assuming d is positive.\nAnswer: d**(-1968\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 719 minutes after 4:24 AM?\nAnswer: 4:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 368*d*k**3*o**3 + 4*d*k**2*o - 77*d*k*o**2 + 3*k**3*o**3 - k**2*o**3 + 2*k**2*o**2 wrt k.\nAnswer: 2208*d*o**3 + 18*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 0, 1, 414 in increasing order.\nAnswer: 0, 1, 3, 414","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 478 - 403. Calculate the lowest common multiple of v and 5.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -650645 (base 8) to base 4\nAnswer: -311012211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 12127870?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 266, -4 in increasing order.\nAnswer: -4, 2, 266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (45\/(-3))\/(-1) - -1. Suppose 0 = -z + u + 3 - 4, 4*u - m = 0. Find the second derivative of -3*r + r**z - r**3 + r + 3*r**3 wrt r.\nAnswer: 18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2 + 3. Let g be (-8)\/20 + 6\/(-10). Let r be (3\/(-9)*0)\/g. Solve -z - 3 - b = r for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (2 + (-54)\/24)\/((-5)\/240). Solve 4*z + 24 = -4*d, 4*d - 11*z + b = -12*z for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (2\/(-4)*2)\/(3\/(-6)). Solve -2*f = -2*h + w, 3*h + 4*f - 15 = 2 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 0.1, -1, 284, -2\/5, 11\/32?\nAnswer: 11\/32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -12 - -21. Let f(l) = -l + 18. Let t be f(w). Suppose 14*x - 220 = t*x. Calculate the remainder when x is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 + (-3)\/((-36)\/56)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -128\/49 or -3?\nAnswer: -128\/49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 720*i - 41761. Give o(58).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2977340*v**5 + 1512*v + 149 wrt v?\nAnswer: 59546800*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k + g = 4*k - 2, -3*g = -5*k + 18. Let w(p) = 2*p + 2. Let r be w(-3). Let o be 5*1\/((-5)\/r). Solve 5*d = o*c + 45, k*d - 2*d - 10 = -2*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i - 26 = -j + 3*i, -4*i = 8. List the prime factors of 1\/(-4) + 100\/j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -9?  (a) 22  (b) -4  (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 0, -12, -1, 5.\nAnswer: -12, -1, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 448 and 5992?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3.3791 - 3.5791. Let m = -3 + 2. What is the nearest to 1\/2 in w, -3, m?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -1 - 1 - -6 - 0. Solve o*f + f - 5*k + 20 = 0, -8 = 3*f - k for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8 is divided by ((-5)\/15)\/((-2)\/36)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 26669 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 43898226 to the power of 1\/2, to the nearest integer?\nAnswer: 6626","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -485 - -500. Sort q, -1\/7, -0.04, -2\/11 in descending order.\nAnswer: q, -0.04, -1\/7, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.049  (b) -2\/3  (c) -7  (d) 5  (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (44\/1)\/(-27 - -26). Let g = w + 673. Is g a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 39*z**2 + 1. Let a be s(-1). Suppose -5*r + 21 = 21. Suppose 2*x + a - 186 = r. What are the prime factors of x?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 40.23743 nanograms?\nAnswer: 0.00004023743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -31*m - 3081 = 23*m - 381 for m.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w*w**(-8))\/(w**(4\/5)*w)*(w**5)**(-20) assuming w is positive.\nAnswer: w**(-544\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-196)\/(-40) - 5) + 6\/10. Let i = 5 - 4.7. Let p = 5.4 + -5. Which is the nearest to -1?  (a) r  (b) p  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x**33*x\/x**(-25\/2))**(-2\/57))**4)**13 assuming x is positive.\nAnswer: x**(-1612\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -223881, -447761, -671641?\n\"Answer: -223880*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w*w*w**(2\/3)*w)**(-25)\/(w**(1\/5)*w*w\/(w**(-1\/2)*w)*w))**41)**(3\/20) assuming w is positive.\nAnswer: w**(-116071\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 45.2, -5, 8\/9, 2, 4, 1, -20?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44*c = -34 + 34. Let m(d) be the second derivative of -11\/12*d**4 - 9*d + 0 + 0*d**2 + c*d**3. Let k(a) = a**2. Give m(k(x)).\nAnswer: -11*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t and 2 d when three letters picked without replacement from wdgtddgwtddw.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13312*r = -13093*r + 14673 for r.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-1 + 2)*3*-1. Let t be 8\/n*9\/(-4). Let d = t + -3. Solve d*x - x = -5*a + 28, -4*a = -x - 12 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 16 = -4*v, -3*v + 0*i - 2*i = -10. Suppose -3*x - v*t + 12 = -3, -5*t = 2*x - 10. Let w(n) = -x*n + 3*n - 19 - 4*n + 23. What is w(3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2014 + 1346 = 5*y. Is 64 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -2*j**3 + 11*j**2 + 28*j - 15. Calculate l(-5).\nAnswer: 370","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 39824873 is divided by 2957?\nAnswer: 2954","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((117\/(-12))\/13)\/((-3)\/12). Solve -2*z - 10 = o, -5*o - 4*z + d*z = 23 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 5, 8, 6, -101 in increasing order.\nAnswer: -101, 3, 5, 6, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o**2 + 88*o - 468 = 0. Calculate o.\nAnswer: 9, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*s + 13 = 62*p - 66*p, s = 5*p + 19 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 6207.896 millimeters?\nAnswer: 0.006207896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w\/(w*w*(w**3*w)\/w))\/(w*w**(3\/7)*w))\/(w\/(w**(1\/2)*w))**15)\/(w\/(w**(2\/7)\/w)*w**(-7)*w*(w**0)**(-36)) assuming w is positive.\nAnswer: w**(75\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = 16*v - 90. Suppose -3*a - 25*a + 183 = 15. Determine y(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 37024 and 20648.\nAnswer: 712","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*u - 5 + 5)*(-3 - 5 + 4*u**2 + 5) as f*u**3 + p + z*u + l*u**2 and give f.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -5 - 20?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 39.5 + -2.5. Let c = b + -37.04. Let a = 2\/1203 + -6019\/2406. What is the third biggest value in a, -1, c?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5970876 is divided by 16050.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ddpddpx. What is prob of picking 2 p and 1 x?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6 + 472\/(-76))*1\/2?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*w**2 + 6595*w - 1105170.\nAnswer: -5*(w - 1122)*(w - 197)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 68555 is divided by 1858?\nAnswer: 1667","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 292578?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 4*m**2 + 234*m - 28. Let z(n) = -n**2 - 79*n + 9. Calculate 6*l(t) + 19*z(t).\nAnswer: 5*t**2 - 97*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = j**2 - 8*j - 6. Let g be t(9). Solve -g*s - 25 = -4*m + 2*s, -5*s = 25 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 1 o when two letters picked without replacement from uuuuupuou.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*w - 2*d = 7*w, 5*d - 3 = 4*w - 36 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1216*p**2 + 521*p**4 - p**3 + 8141*p - 8141*p wrt p?\nAnswer: 12504*p - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:14 PM and 4:21 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 13*p**2*z**2 - 2*p**2*z + 2*p*z**2 + 162*p*z wrt z.\nAnswer: 26*p**2 + 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find y, given that -4*y**4\/9 - 20*y**3\/3 - 28*y**2\/3 + 284*y\/9 + 104\/3 = 0.\nAnswer: -13, -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) be the first derivative of v**2\/2 + 3*v + 27. What is p(-12)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 - (3 - 3 - -2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -17666 and 0.0759.\nAnswer: -1340.8494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c + k = 18, -k + 6*k = 2*c + 2. Suppose -1 - 11 = 3*g. Let m = g - -9. Calculate the remainder when m is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 times -0.025756\nAnswer: 0.12878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: ((2\/(-6))\/((-2)\/6))\/((-5)\/(-40))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-3)\/((-9)\/12))\/(-15)*-3?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 7047.97 kilometers in meters?\nAnswer: 7047970","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = 135*i**3 - 41*i**2 + 82*i - 22. What is the units digit of c(8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 126 minutes after 6:00 PM?\nAnswer: 8:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -s**3 - 5*s**2 + s + 24. Let p be h(-4). Solve 3*t + 3*n = 0, t - p*n + 10 = 3*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -7431 - -2?\nAnswer: -742a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 922614 is divided by 6833?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 63\/(-198) - (-4)\/(-22)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 40 + -36. Solve 3*t - 2*l + m*l - 2 = 0, -t - 16 = 4*l for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -8*(-45)\/(-36)*2\/(-10). Let o(f) be the first derivative of 3\/2*f**b + 24 + 0*f. Let a(g) = 2*g**2. Give o(a(l)).\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3\/4 in 13\/7, 5\/6, -7?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 2\/3  (b) -0.4  (c) 0  (d) -11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*d**2 + 0*d**2 - 5*d**2 + (5*d**2 + d**2 - d**2)*(-3 - 2 + 2) to l*d**2 + v*d + m and give l.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/2 in -0.06, 16, 4?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 678139 to the power of 1\/3, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -15395*w**6 - 380*w**2 + 7*w + 2 wrt w.\nAnswer: -1847400*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) be the third derivative of -6*i**2 - 3\/40*i**6 + 0*i + 1\/14*i**7 - 7\/20*i**5 + 0 + 3\/8*i**4 + i**3. What is w in j(w) = 0?\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 19 divided by 3.\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = m. Let j(q) = -4*q - 3. Let z(l) = -21*l - 14. Let s = 1 - -2. Let p(x) = s*z(x) - 14*j(x). Calculate p(a(o)).\nAnswer: -7*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -1777, -3531, -5299, -7081, -8877, -10687, -12511?\n\"Answer: -7*i**2 - 1733*i - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 39*a + 0*f = -2*f - 985, 292*f = -a + 288*f - 45 for a.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12.7*-0.86.\nAnswer: -10.922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2145921850 to the nearest integer?\nAnswer: 46324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j + 5*j - 20 = 0. Suppose b + 33 = 5*q, 0 = -3*q - 4*b - 0*b + 6. Calculate the remainder when q is divided by j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0 + 0 + 2*b**5 + (2*b**4 - 4*b**4 + 4*b**4)*(3*b + 3*b - 4*b) - 27*b**3 + 3*b + 64566*b**4 + b**5 - 64566*b**4.\nAnswer: 7*b**5 - 27*b**3 + 3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 10\/((-18)\/(-4) - 4). Suppose -n = -12*b + 17*b. Let a(p) = p - 9 - 3*p + p. Determine a(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -17416*c*x**4 + c*x + 4*c - 2185*x**2 + x wrt x?\nAnswer: -417984*c*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 158*l**2 + 2346*l - 4689*l + 2343*l - 44*l**3 - 163*l**2.\nAnswer: -44*l**3 - 5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1367 - -1362. Which is the second biggest value?  (a) 0.3  (b) j  (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2859156 and 12.\nAnswer: 2859156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 255526559 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.1, 4, 225?\nAnswer: 225","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*k = -5*k - 128. Let n = 126 + k. Suppose 5*o = n - 27. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 22 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -d668 (base 14) in base 3?\nAnswer: -1212200011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d = 5, -5*d + 15 = 4*l + 38. Let z be ((-2)\/l)\/(1\/18*3). Is 3\/26 <= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*x = 27*p - 538 - 387, 0 = -3*p + 49*x + 51*x - 103*x + 90 for p.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express -255*h - 18*h**2 + 255*h + (h - 3*h + 3*h)*(-2*h + 3 - 3) in the form l*h**2 + t + u*h and give l.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 minus -0.726?\nAnswer: -1.274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*i = -5*g - 70, 14 = -2*i - 15*g + 14*g for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(-1\/3)*b*(b\/(b**(-6)*b*b))\/b)\/((b\/(b**21\/b))\/((b**(-9)*b)\/b)))**(34\/5) assuming b is positive.\nAnswer: b**(1496\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-9*n**3 - 13*n**3 + 7*n**3)*(10 + n - 10)*(2*n - n - 3*n + 2*n + 0*n - 4*n + (-2 + 1 + 0)*(-2*n + 5*n - n) + 4 - 4 + n).\nAnswer: 75*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + -1 + -3 + 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (29 + 17 + 24)*(0*b - 3*b**4 + 0*b) + (-b + 0*b + 2*b)*(3*b**3 - 3*b**3 + 2*b**3) to n*b**4 + u*b**3 + x*b + k + t*b**2 and give n.\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 132 = 17*l - 38. Suppose -4*y + 22 + 74 = 0. Let k = y - l. What is the remainder when 125 is divided by k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2173, 1615, 659, -701, -2471, -4657, -7265, -10301?\nAnswer: -13771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 41042254 and 1336.\nAnswer: 164169016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -48*f + 71 + 57 - 142. Is 10 a factor of z(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 53, -4, 4, 83 in increasing order.\nAnswer: -5, -4, 4, 53, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = h - 2. Let n be (-5 + 0)*(-13 - -14). Give w(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -797, -1, 16 in increasing order.\nAnswer: -797, -1, 1, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 557 is divided by 40?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -r**3 + 9. Let d be (-3)\/(9\/12) + 2. Let o = 5 + d. Suppose o*h = 2*h. Give j(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 89358751177 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.091, -0.03, -0.2?\nAnswer: -0.091","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 5211 (base 6) to base 3\nAnswer: 1120221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00158417066 to 7 decimal places.\nAnswer: 0.0015842","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 231 minutes after 12:02 AM?\nAnswer: 3:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(-2\/7)*o)\/(o\/((o\/(o*o\/(o*o**(-5)\/o)))\/o)))\/(o**1\/o**8) assuming o is positive.\nAnswer: o**(-2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 32 and 512.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 564647 by 1.\nAnswer: 564647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fo when two letters picked without replacement from ohfhfhffhfffhhoffofh.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 + 3 = 4*m. Let x be (-110)\/(-5) - (-2)\/(-1). Solve -m*t - x = 2*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2 - 2. Let x(u) = -u**3 + 20*u**2 + 40*u + 92. Let b be x(22). Sort -6, b, i.\nAnswer: -6, i, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 47 divide 2567545187?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -54432, -438608, -1481368, -3512004, -6859808, -11854072, -18824088, -28099148?\n\"Answer: -54882*q**3 - 2*q + 452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 491 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*-6*(sqrt(300) + (sqrt(300) + sqrt(300)*2)**2*-5 - (1*sqrt(300) + 1 + sqrt(300))).\nAnswer: -405030 - 300*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 4 - 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 5*p**2 - 2*p + 8. Let z be b(5). Let v = 120 - z. What is the second smallest value in -2\/25, v, 1?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = d**3 - 6*d**2 - 13*d. Let c be m(10). Suppose -c*v + 280 = -263*v. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2780299099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4 + 158*h**5 - 339*h**2 + 4 + 136*h**5 wrt h.\nAnswer: 17640*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**(2\/21)\/((l*l\/(l\/l**(4\/7)))\/l)*l**0*l*l\/(l*l\/(l*l**(1\/2)))*(l**5\/l**(1\/4))\/((l*(l*(l*l**(-1\/4)*l*l)\/l*l*l)\/l)\/l)**(10\/13) assuming l is positive.\nAnswer: l**(3155\/1092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put -3\/22, -5, 0.43, -6\/11, 0.4 in increasing order.\nAnswer: -5, -6\/11, -3\/22, 0.4, 0.43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 77 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = 3*w + 7. Let a(d) = 6*d + 13. Let q(k) = 6*a(k) - 11*p(k). Let v(m) = 7*m + 2. Let u(c) = -9*q(c) + 4*v(c). What is u(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-1)\/(-3) + (-33)\/(-9). Differentiate 3*d**z + d**4 - 2 - d**4 wrt d.\nAnswer: 12*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1430*o + 60 = 1384*o + 290 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = 6*k**2 - 27*k - 51. Let s be l(-2). Let j = 1 + 26. Calculate the greatest common factor of s and j.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -80, -44, -8, 28, 64, 100?\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -3566, -7134, -10702?\n\"Answer: -3568*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -373 or 148006?\nAnswer: -373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4681 - -4677.977. Let l = 0.023 + m. Which is smaller: l or 1\/4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -1 and 2680350241.\nAnswer: 2680350240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 22 and 187.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (7 + -1)\/((19 + 2)\/7). Let t be (7\/1 + f)\/((-45)\/(-15)). Solve -3*h - t = 0, -8*h = 3*g - 3*h + 20 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.2 - 0.5. Let z = x - -0.2. Let u = 0.2 - 0.2. What is the nearest to u in 1\/5, 1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 845*k**4 + 5905*k**3 - 70*k**2.\nAnswer: 5*k**2*(k + 7)*(169*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 15\/(-6) - 3\/6. Let q(s) = s**3 + 4*s**2 - 4. Let k be q(r). Solve 10*x - k*x - 5 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 1, o: 4, m: 5}. What is prob of sequence oc?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -17*x**2 + 8*x + 22. Let o(p) = 16*p**2 - 6*p - 23. What is -3*m(g) - 4*o(g)?\nAnswer: -13*g**2 + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -4 - -4. Suppose -m + 3*u = u + 1, 3*m - 5*u = b. Suppose -m*l + 0*d = -4*d - 165, 0 = -3*l + 3*d + 102. Is l a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -3\/2, -3, -3660.9, -5, -2, 0.2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*m**4 + m**3 + 2*m**4 - 4*m**4)*(-2*m - 5*m + 4*m).\nAnswer: 24*m**5 - 3*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 57 in -0.2, 2\/11, 7, -4, -2\/17?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.185 - 12.685. Let d = s - -12.6. Which is the third smallest value?  (a) -4  (b) d  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-30)\/(-105)*(-1785)\/68)\/5\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-three halves of a decade in months?\nAnswer: 2580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) be the third derivative of r**7\/280 + 187*r**6\/40 + 35709*r**5\/20 + 34595*r**4 + 273800*r**3 - 7910*r**2. Factor z(g).\nAnswer: 3*(g + 4)**2*(g + 370)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9848 divided by -1\nAnswer: -9848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 64\/((-2 + -6)\/(-4)). Let r = 73 + -42. Suppose y*w = r*w + 69. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v - 3*i = 3*v - 66, -5*v + 105 = 4*i. What is the remainder when 253 is divided by v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 16*i**4 + 5 - 7*i**4 + 2 + 7 wrt i.\nAnswer: 36*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(175) + 1*(sqrt(175) + sqrt(175) + sqrt(175)*-2)**2.\nAnswer: 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1.6 - -1.4. What is the nearest to -2 in 4, 5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17140633 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 25, 49, 75, 103, 133?\n\"Answer: n**2 + 21*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from honnnohoohnhho?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -77\/6 and 35\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-h**2 + h**2 + 2*h + 2*h**2)*(-1 + 0 + 3) - 7*h + 9*h**2 + 7*h.\nAnswer: 13*h**2 + 4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -8 + 22. Calculate the common denominator of t\/8 - (-2)\/(-3) and -13\/14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 549 minutes after 12:44 AM?\nAnswer: 9:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zddkllldvdrll. Give prob of picking 1 k, 1 z, and 1 d.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-10)\/(-190)*5814\/90?\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1210200221 (base 3) in base 14?\nAnswer: cd1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 22 + -8. Let w be 10 - t - 4522\/(-16). Let m = w - 269. Find the common denominator of 29\/8 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*p**2 + 50940*p - 814016 = 0. Calculate p.\nAnswer: 16, 12719","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*j - 2217 = -3*m - 2332, -5*j + m = -10*m - 75 for j.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) be the second derivative of 149*t**3\/6 - 13*t**2\/2 - 25*t. Let p be g(5). Suppose 11*i + p = 14*i. List the prime factors of i.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j - 3 = 2*d + 4, -22 = 3*j + 5*d. Let t(n) = -j + 5*n**2 + 2 - n**2. What is the remainder when t(2) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand t + 0 + 0 + (-2 - 3 + 2)*(-2*t + 3*t + 0*t) - 2*t + 17*t - 9*t + (0 + 0 + 5)*(-t - t + 0*t) + (5 - 4*t - 5)*(-2 + 2 + 2) - t + 3*t - 3*t.\nAnswer: -15*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -362 + 4704\/13. Let s = -60903 - -60900. Is s less than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*g + 4*l, -2 = -4*g - 2*l - 12. Let z = g + 8. Suppose -s - z*h + 1 = -5, 0 = s + 5*h - 6. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.3064889 meters to centimeters.\nAnswer: 30.64889","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*c = 1261 + 899. Is c a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -74 or -70?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -45 + 121?\nAnswer: a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = v**3 + 11*v**2 - 3. Let i be q(-9). Calculate the remainder when (-4)\/(-6)*i\/2 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0265114117 rounded to four decimal places?\nAnswer: 0.0265","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -36.2, -3, -2\/15.\nAnswer: -36.2, -3, -2\/15, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9563217 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*d - 3*x + 12, x = 3*d + 6*x - 19. Let s be (231\/28 - 5) + 6\/8. Put d, s, 1 in descending order.\nAnswer: s, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.9 times 17?\nAnswer: -15.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7993685, 15987370, 23981055, 31974740, 39968425?\nAnswer: 47962110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 1, q: 4, e: 2, b: 6}. What is prob of picking 1 b and 1 e?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -8?  (a) 5  (b) -1\/3  (c) 11  (d) 2\/49  (e) 0.5  (f) 1.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1.2273448 * 0.1.\nAnswer: -0.12273448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 300*q - 364*q. Sort 5, q, -5, 4, -60 in decreasing order.\nAnswer: 5, 4, q, -5, -60","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -86*k - 19. What are the prime factors of m(-4)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 62002 = -2795*w + 657*w for w.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*o = -6*o + 4*o + 72 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -125*v - 47*v + 2750 = 103*v for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 23701 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9229923 is divided by 71.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3775 - 35*z + 1601 + 2174.\nAnswer: -35*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -19*o + 1085. What are the prime factors of m(16)?\nAnswer: 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-9)\/6*(-4)\/(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k + 3*a = -551 - 1573, 0 = -2*k - 4*a - 1420. Let x = k - -1755. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*(v*v\/v**(2\/15)*v)\/v*v\/(v**(-2\/37)\/v)*v)\/(v**3*v)**(-3\/4) assuming v is positive.\nAnswer: v**(4951\/555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) be the second derivative of 14*n + 588245\/6*n**3 + 1\/6*n**6 - 1 + 0*n**2 + 12005\/4*n**4 + 147\/4*n**5. Factor l(w).\nAnswer: 5*w*(w + 49)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*p + 15 = 7*p. Let d(t) = t**3 + 3*t**2 - 3*t - 4. Give d(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -145  (b) -18  (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*c + 25 - 7. Let r = c + 1. Let s = 3024 + -3010. Solve 3*k = 4*j + s, -3*j + 5*k = j + r for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c - c = -5, 3*g + 5*c = -16. Let w be (-1 + 3)*g\/2. Suppose -w*q + q + 6 = 0. Calculate the remainder when q is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-33)\/(-66)*(2 - 2). Sort 1, w, 203.\nAnswer: w, 1, 203","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 145 + -106?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -0.05 * -0.03\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 41.3462 and -177.\nAnswer: -7318.2774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*u**4\/5 + 138936*u**3\/5 + 2144847654*u**2\/5 + 2207620176816*u + 11035956175359\/5 = 0 for u.\nAnswer: -15437, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 41\/12356 and -17\/6702.\nAnswer: 41404956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -b + -5?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -z**2 + 73*z + 2180. What is q(96)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) be the third derivative of m**5\/10 - 2*m**2 + 2761*m - 1. Let z(g) be the second derivative of -g**4\/3 + g. Give s(z(p)).\nAnswer: 96*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) be the second derivative of -s**3\/6 + 3*s**2 - 2*s. Let n be r(6). Suppose n = 5*j - 4*f + 1, j + f = 8 - 1. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = 41686*r**2. Let p(v) = -19*v. What is j(p(w))?\nAnswer: 15048646*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x\/(x*x**(-2\/7)*x*x))**(1\/7))**(2\/153)*((x*x**(-6))\/(x\/x**3))**(-16) assuming x is positive.\nAnswer: x**(119944\/2499)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 25 + -13 + -6 + -57 + (5 - 14)\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -854 divided by -61?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 31171619.1081 - 31173478. Let b = z + 1859. Let p = b - 0.11. Round p to 4 decimal places.\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = 5*w. Let z(k) = k + 1. Let n(y) = -5*y**2 - 6*y - 6. Let r(v) = n(v) + 6*z(v). Give m(r(g)).\nAnswer: -25*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + y = 5*s + 5, -s + 2*y = -13. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 47.084 to zero decimal places.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 2*s = -3*b + 737, -5*s + 4*b + 3761 = 0. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -4\/9, -19, -5, -1\/29, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 32, -2, 53, 58 in decreasing order.\nAnswer: 58, 53, 32, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*d**2\/3 + 73198*d\/3 - 1244944\/3.\nAnswer: 2*(d - 17)*(d + 36616)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 - 2*k)*(4*k + 4*k - 7*k) + 335*k**2 - 203*k**2 - 204*k**2 + 2*k**2 + 3*k - 3*k + (0*k - 3*k + k)*(2*k + k - 5*k).\nAnswer: -68*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9, 57, 0, 102, -30.\nAnswer: -30, -9, 0, 57, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 11*y - 15. Let f be b(12). Let m = -56 + f. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 291 minutes after 8:57 AM?\nAnswer: 1:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is sixty-one quarters of a kilogram in grams?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*o**3 - 16*o**3 + 23*o**3.\nAnswer: 12*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-10)\/(-1 - -1 - -1). Let r be g\/(0 - (0 + 2)). What are the prime factors of (r - 1)*-1*-3?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 18*j**3 + 0 - 10*j**3.\nAnswer: -28*j**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) be the second derivative of 17*a + 0*a**2 + 1\/60*a**5 + 0*a**4 - 1\/18*a**3 + 0. Factor k(z).\nAnswer: z*(z - 1)*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 113891 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1501)\/79*(12\/(-18))\/(13\/((-195)\/(-10))).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (1881\/(-15))\/((-4)\/(-5) + -1). Suppose 3*g + 0*g = u. What are the prime factors of g?\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -116 + 56 + 34 + 5*u to k*u + s and give s.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*f**2 + 4*f**2 - 2*f**2)*(-37 - 11 + 2).\nAnswer: -92*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -55*s = -2*i - 60*s + 49, 5*i = 5*s - 35 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1\/8, 1\/18, 0.4, -15, -3\/8, -704?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 8 + -5. Let v = b + -3. Suppose 2*t + v = 26. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-4)\/(-16) - (-1)\/(-4). Suppose h = -4*x - 1 + 45. Calculate the highest common divisor of x and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-2 + 7\/3)\/(1\/15). Suppose 3*d - 23 = n - v, -2*n - 3*d = 27. Let u = n - -31. Does 4 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1058926344 divided by -264731586?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 51*c**2 + 14*c - 3. Let n be h(1). Which is smaller: 556\/9 or n?\nAnswer: 556\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*r + 34 = 5*o, o + 3 = 5*r - 19. Solve 0*v = 5*v - 2*a - 2, -a - 1 = r*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-1)\/(-2))\/((-7)\/14) + 284. Let k = 1965\/7 - d. Which is smaller: -2 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.7 minus -8?\nAnswer: 14.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*p + 8*p - 174. What is the remainder when p is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -z**3 - 4*z**2 - 5*z - 6. Let i be (26\/(-8) - -2)*4. What is the remainder when y(i) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = d**2 + 10*d - 7. Let g be n(-9). Suppose -174*a + 28 = -175*a. Let w = g - a. What is the remainder when 33 is divided by w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-8 - -3) + 2 - 1. Let n be (-28)\/6*6\/g. Suppose -2*j + y - 2*y = 1, 3*y + 10 = j. What is the highest common divisor of n and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -15*y**3 - 15*y**2 - 9*y + 11. Let w(r) = -8*r**3 - 8*r**2 - 5*r + 6. Determine 6*k(l) - 11*w(l).\nAnswer: -2*l**3 - 2*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = d - 2. Let j(u) = 22*u + 101. Let a be j(-5). What is n(a)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 232 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - p = 28. Suppose -2*c + 60 = 3*j - p*c, -5*c + 45 = 4*j. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 135*k + 38061. Give u(-282).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 23831 a multiple of 124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-1)\/(-3))\/((-2)\/(-3)). What is the closest to -0.1 in 0.1, f, 12?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 38 - (-1 + 4 + -3). Suppose i = -2*z + 132. Suppose -5*v + z = -48. Is v a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) be the third derivative of z**6\/120 - z**5\/30 + z**4\/24 - z**3\/6 + 5*z**2. Let q = 22 + -10. What is the remainder when t(4) is divided by q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2467329 and 3531667.\nAnswer: 180115017","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 62320088?\nAnswer: 2, 2129, 3659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y = 0, -3*g - 5*y = 2*g - 50. Let f(h) = -g - h + 2 + 8. What is f(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(2\/5))**1*((o*o**2\/o*o)\/o)**(-40)*o*((o**(-9)*o)\/o)\/o*((o\/o**5)\/o)\/o*(o*o*o*o\/((o**0*o)\/o))**(-28) assuming o is positive.\nAnswer: o**(-1033\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 28159.755 months to decades.\nAnswer: 234.664625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 61755.62 centimeters to micrometers.\nAnswer: 617556200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 1, k: 3, x: 1, p: 3, d: 2, f: 2}. Give prob of sequence ff.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 13*c**4 - c**2*v + 480*v with respect to c.\nAnswer: 52*c**3 - 2*c*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -9*t**2 - 67*t - 124. Determine h(-2).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-20)\/(-6))\/((-4)\/(-6)). Suppose -2*x + 32 = -2*n - 0*n, 2*x + f*n = 11. Calculate the remainder when x is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 156, 10, -380, -1134, -2372?\nAnswer: -4214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 19 - 15. Let c be (1 + o + -2)*(-50)\/(-15). Solve 0 = -6*l + 4*l + c for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/((-6)\/(-2))*(3 + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 1 - 1 + (3 + 1 - 5)*(4 - 1 - 1))*(6*i - 5*i + 4*i)*(56 + 28*i - 56) + 16 - i**2 - 4*i - 16.\nAnswer: -141*i**2 - 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -47*v - 2167 = 5*q, 667614*v - 229 = 667619*v - q for v.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -98*m**2 - 6*m + 2. Let n(z) = 104*z**2 + 7*z - 1. What is 2*f(s) + 3*n(s)?\nAnswer: 116*s**2 + 9*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 9, x: 1, e: 1}. What is prob of sequence xe?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 + 3 = 5*p. Let v(w) = 2*w**2 - 14*w + 12. Let j be v(5). Let r be 18\/12*j\/(-6). Solve -i = -r*i + p for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -62424618, -62424617, -62424616?\n\"Answer: a - 62424619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -867, 0, 11911 in decreasing order.\nAnswer: 11911, 0, -867","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2697628?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 1663*s**3 + 8634*s**2 + 11*s - 6. Let h(c) = 554*c**3 + 2877*c**2 + 4*c - 2. Let x(t) = -11*h(t) + 4*l(t). Find the third derivative of x(a) wrt a.\nAnswer: 3348","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -29*h - 247*h + 19*h.\nAnswer: -257*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((y*y**(2\/7))\/y**(-1\/4))**(-19))**(-3\/31) assuming y is positive.\nAnswer: y**(2451\/868)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 2*i**3 - 5*i**2 + 10*i - 10. Suppose -5 = 5*t - 25. What is the tens digit of w(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1273613, 5, 1.\nAnswer: -1273613, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h = -0 + 4. Suppose -h*x + 14 + 14 = 0. Let k = x - -4. Is k a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 4965 - 2687. Is d a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -25*j**3. Let h be (12\/36)\/(1\/(-3)). Let c be r(h). Solve -3*d + 6 = 0, -3*s - 2*d = 3*d - c for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*c + 7*c - 16*c - 4*c + 2*c + 4*c + 0 + 0 - c + 4*c - 4*c - c - 2*c + c + 3*c + (-2 + 4 - 4)*(-4*c + 0*c + 5*c) - c + 1 - 1 - c + 4*c - 4*c.\nAnswer: -14*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -36\/1318909 and -41\/7469.\nAnswer: 101555993","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -2*h**3 - 2*h - 2. Suppose -4*y + 12 = 0, -4*n - 5*y + 43 = 112. Let z = 20 + n. Let b(m) = -m**2 - m - 1. Let q(v) = z*t(v) + 2*b(v). Factor q(o).\nAnswer: 2*o**2*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 8, k: 2}. What is prob of picking 3 i and 1 k?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000208 to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 164, -595, -3818, -11107, -24064, -44291, -73390, -112963?\n\"Answer: -267*k**3 + 370*k**2 + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 768 + -771. Let a(n) = 3*n**2 + 2*n + 1. Is 7 a factor of a(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 81*y - 407*y - 1941 + 1941.\nAnswer: -326*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 17 - ((74 - 157) + 158).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:28 AM and 8:58 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -471 = 277*j + 329*j + 135 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) be the third derivative of -h**6\/300 - h**5\/6 - 14*h**4\/5 - 48*h**3\/5 + 69*h**2. What is c in a(c) = 0?\nAnswer: -12, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -67\/160 and -9\/768352?\nAnswer: 3841760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2  (b) 0.4  (c) -165  (d) -8  (e) -46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -2 - (-64)\/14 - 2. Suppose -6 = -2*s - 0. Let p be s\/(-5) + (-16)\/40. Which is the biggest value?  (a) p  (b) -0.5  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = v**2. Let a(l) = 885 - 885 - 17*l. What is i(a(x))?\nAnswer: 289*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 126227 is divided by 228.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1614 - 1623. Which is bigger: -15 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.2 and 2.4272.\nAnswer: 0.48544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*z**2 + 78*z**2 + 354*z**2 + z**2.\nAnswer: 428*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 945129 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bqmeqmmqmqm. What is prob of sequence qeb?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -2173, -8788, -19883, -35458, -55513?\n\"Answer: -2240*t**2 + 105*t - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-13)\/(26\/8)*-119*23\/644.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -28620, -56836, -85052, -113268, -141484?\n\"Answer: -28216*y - 404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 102034, 98944, 95858, 92776, 89698?\nAnswer: 86624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 74047.4 - 74039.50074. Let q = 7.9 - x. What is q rounded to 4 decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 54400921?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = -5*a + 5*l, a + 2*l = 6*a - 20. Let q = -7 + 7.3. Let j = -18 - -20. What is the biggest value in j, q, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xxixxooxxixiexix. What is prob of picking 2 x?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 554359, 1108747, 1663139, 2217535?\n\"Answer: 2*k**2 + 554382*k - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = l - 2 + 3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -618, -619, -622, -627, -634, -643?\nAnswer: -654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of 82 and 0.9725.\nAnswer: 79.745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*p + 75 = 61. Let f be (-3)\/(-6)*2\/1. Let n = 1 - f. Solve y - 1 - p = n for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24525199 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:26 AM and 9:36 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 243.299142 rounded to one decimal place?\nAnswer: 243.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 4*c - 3*v, 0 = 2*c - 0*v + 2*v - 8. Suppose -1 = -c*w + 4*p + 11, -2*p - 4 = 0. Sort 4, w, -4 in ascending order.\nAnswer: -4, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) be the second derivative of 0*h**2 + 0 + 0*h**3 + 2*h - 1\/12*h**4. Let t(d) = 2*d. What is t(z(l))?\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (21\/(-5))\/((-1824)\/3420*(-6)\/(-4)).\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 629 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 85\/48 and 71\/96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate k*q - 27657*k + q - 10068 with respect to k.\nAnswer: q - 27657","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 39769925, 39769909, 39769893, 39769877, 39769861, 39769845?\n\"Answer: -16*d + 39769941","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -3*d. Let q(w) be the first derivative of -4*w**2 - 38. Give o(q(u)).\nAnswer: 24*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = 2*w**3 - w**2. Let r be p(1). Suppose 9 = 3*a - g, -2*g + 3 = 4*a + r. Is (4 - 2268\/a)\/(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8*s**2 + 9*s**2 - 2 - 2*s**2)*(2*s**3 + 2 - 2).\nAnswer: -2*s**5 - 4*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 12300266 + -346?\nAnswer: 12266620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 8537306 divided by 230738\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (1899\/36 + -4)\/((-2)\/(-8)) is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(2*sqrt(228))\/sqrt(12)*2.\nAnswer: 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-4)\/(-3))\/(2\/9). Let t be (-4)\/(-9)*(-114)\/20. Let h = t - -7\/3. What is the third biggest value in a, -0.1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1149 or 2\/3?\nAnswer: -1149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7953291*i - 1679 = 7953314*i for i.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let 1\/2*o**5 + 5\/2*o**3 + 0 + 2*o**4 + 0*o + o**2 = 0. Calculate o.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(13\/6)*c**(13\/4))**2 assuming c is positive.\nAnswer: c**(65\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 54 (base 7) to base 10\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = 51*l**2 - 5*l - 37. Is i(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00136631855 rounded to five dps?\nAnswer: 0.00137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6*1\/6*3\/(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3 + 4 - -1 - 3) + -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3 and 292.\nAnswer: 876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -45439756.7 - -3\nAnswer: -45439753.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*k = 39 + 6. Let x(m) = 0*m + m - 1 - 5 + k. Let f be (-5 - -1) + 2\/(-2). Give x(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -q**3 - 13*q**2 + 34*q + 65. What is m(-15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -k. Let g(z) = -5*z - 3. Suppose -5*s + 0*s - 5 = 0, 5*i - 4*s = 54. Let y(n) = -16*n - 10. Let b(q) = i*g(q) - 3*y(q). What is d(b(j))?\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 367347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 - 3*i)*(32*i - 14*i + 6*i) + (-21 + 21 - 5*i)*(-1 + 1 - i).\nAnswer: -67*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -129 = 39*m - 519. What is the remainder when 116 is divided by (-6)\/((18\/m)\/(-3))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -92\/204503?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*l = -2*a + 1, 2*a - 5*l = -l + 8 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:08 PM and 10:49 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(228)\/sqrt(4))\/sqrt(3) - (1*sqrt(304) + sqrt(19)))*3 - (-3 + sqrt(2736) + sqrt(2736) + sqrt(2736)*-1 + 1))**2.\nAnswer: -96*sqrt(19) + 10948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 49*l**2 + 5*l**3 - 6*l - 4*l - 44*l**2.\nAnswer: 5*l*(l - 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -30 + (9 - ((-5 - -1) + 9) - 5).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 1005 times -0.4\nAnswer: -402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31 + 10 = m. Let g be (-6)\/m*(-21)\/(-51). Is 0 at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = 5*h**3 - h**2 + 2*h - 1. Let u be o(1). Let l(r) be the first derivative of 3*r**2\/2 + 2*r + 10. Is l(u) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 317967\/202 - 52166987\/33633. Let l = f + -554\/37. Find the common denominator of -15\/32 and l.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -11*r**2 + 6*r - 6. Let m(a) = -5*a**2 + 3*a - 3. Let y(h) = -3*l(h) + 7*m(h). Give y(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2224?  (a) 2  (b) 5\/9  (c) -0.2  (d) 7\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-13540 + 13540 - 189*t)*(-3 - 1 + 0) to r + w*t and give w.\nAnswer: 756","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gaa when three letters picked without replacement from {q: 2, n: 7, s: 1, a: 4, g: 2}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) be the third derivative of -d**6\/120 - d**5\/10 - 5*d**4\/24 - 4*d**2. Suppose -11*g = -5*f - 10*g - 16, 3*f + 24 = -3*g. What is m(f)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z + 5*i = -36, -4*z + 0*i - 4 = 5*i. Suppose -4*w + 3*w + 5*g = -22, 4*w = z*g + 24. Suppose 29 + 21 = w*c. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) be the second derivative of -m**6\/10 + 54*m**5\/5 - 198*m**4 - 9072*m**3 - 95256*m**2 + 880*m. Factor k(j).\nAnswer: -3*(j - 42)**2*(j + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 8  (b) 22682\/7  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -16\/1569 and -131\/8952.\nAnswer: 4681896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.3  (b) -829663  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2442 - -2441.5. Put 3\/8, -5, 1\/7, z in increasing order.\nAnswer: -5, z, 1\/7, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 189809?\nAnswer: 347, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/2*-10*90\/(-75).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 3 + -846?\nAnswer: -843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 = 2.611?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vdvp when four letters picked without replacement from {f: 1, d: 1, p: 1, a: 2, v: 1, u: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1220011222121 (base 3) to base 12.\nAnswer: -407037","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 + (-2 - -6))\/(-2)*-1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3180 by -1060.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000003912712461 rounded to seven decimal places?\nAnswer: -0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -5382489800 rounded to the nearest one million?\nAnswer: -5382000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(112)\/sqrt(2))\/(sqrt(7) - sqrt(112)\/sqrt(4)).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 40850 (base 15) to base 2\nAnswer: 110001111001010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -55*w**2. Let i(m) = -148*m**2. What is i(d(l))?\nAnswer: -447700*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-120)\/3450*(-1*1\/(-8))\/((-163)\/652)?\nAnswer: 2\/115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -14368217 rounded to the nearest 100000?\nAnswer: -14400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.32 + 0.08. Let o = -23.8 + 0.8. Let p = o + 25. Put d, p, -1\/4 in descending order.\nAnswer: p, d, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u = 2*u + 2. Let z be ((-28)\/(-35))\/(u\/5). Let n = 663\/20 - 139\/4. Is z at least as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1464 - -1467. Solve -3*v + 18 = m for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -i**3 + 6*i**2 + 12*i + 7. Let n be y(7). What is the highest common divisor of n and 161?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*o = -12*o. Suppose 1 = -4*g - 4*v + 25, -2*v + 8 = o. Differentiate -13*z**4 - 15 + 2*z**3 - g*z**3 + 11 with respect to z.\nAnswer: -52*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1394066830 a multiple of 377?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 229130 is divided by 72014.\nAnswer: 13088","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/4 of a kilometer in meters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*h + 40*h = 84. Suppose 0 = 3*x - 5*x + h*k - 4, 3*k = -3*x + 12. Find l such that 3\/4*l**x - 3*l - 15\/4 = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -35671*b**2 - 45*b. Let p(v) = -v. Give i(p(y)).\nAnswer: -35671*y**2 + 45*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -b + 10. Let d(r) = -r + 9. Let n(k) = -k**2 + 24*k + 56. Let h be n(26). Calculate h*d(f) - 3*z(f).\nAnswer: -f + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -3*i + 15. Let g(q) = -5*q + 27. Let k(l) = -7*f(l) + 4*g(l). Let d(z) = -3*z - 11. What is 6*d(w) + 22*k(w)?\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 less than or equal to 59\/59843?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -5 + -14ea2?\nAnswer: -14ea7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 209689 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = r - 3. Let v be t(5). Suppose -v*w + 9 = -13. List the prime factors of w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2789 is divided by 25?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -606 or -605?\nAnswer: -605","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (756\/(-15)*2)\/(27\/(-90)). Calculate the greatest common divisor of j and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3448 - -51. Suppose -4*y + 3*t + 9956 = r, -5*t = 5*y - 8115. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 - ((-5 - -3) + 0 - -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2251 = 229*v - 19197 for v.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -2*q**2 + 47065*q + 4109784. Determine v(-87).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10 - -4 - -10 - (0 - -5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.047 and -1.\nAnswer: 0.047","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = d - 8. Let b be x(5). Let m = b + -3. Let i be (-10 - 2)*(51\/(-12) - -4). Put m, i, -2 in increasing order.\nAnswer: m, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -91430.58 rounded to the nearest ten?\nAnswer: -91430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 1087433*q**4 + 5*q**3 - 42460450.\nAnswer: 4349732*q**3 + 15*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v, 1 s, and 2 j when four letters picked without replacement from ssxjsssjsjvs?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6857 is divided by 44.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -162*x = -191*x - 58. What is the fourth biggest value in 1\/4, -19, 57, x?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -30 - -31. Let g be 57 + (0 - i)*3. Suppose 0 = -2*z + 3*z - g. Does 6 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w, 1 j, and 1 d when three letters picked without replacement from dwwjjwwdxwwddwww.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*p - 15, -4*c - 3*p - 10 = -31. Solve 4*w + 4 = l - 0, l - 2 = c*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9809 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: b\"What is the jth term of 26542, 30686, 37594, 47266, 59702, 74902, 92866?\n\"Answer: 1382*j**2 - 2*j + 25162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 105 divide 54075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 17615 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 h = 0.01 + -0.51. Let s = 10 - 14. Which is the nearest to 0?  (a) s  (b) h  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-11 + 3 - 2 + (1 + 1 + 0)*(-3 + 2 + 2))*(-4*t - 3*t + 3*t).\nAnswer: 32*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 - 30 = -5*g. Let i(p) = 2*p**2 + 2*p - 5. Let q be i(g). Let d = q - 30. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 414568 is divided by 62?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -105*a + 1655. Is g(-44) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6*m - 2*m - m + (2*m + m - m)*(1 + 0 + 1) - m + m + 2*m + 0*m - 2*m + 3*m.\nAnswer: 10*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2\/(-6) - 3\/(-9). Let w(x) = -x + 26. Is w(f) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1\/83 + -173\/581. What is the third smallest value in -3, q, 7, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 509 - 191. Suppose -a + 140 + i = 3*r, 0 = -2*r + 4*a + 296. Calculate the greatest common divisor of r and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ooqq when four letters picked without replacement from {o: 18, q: 2}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.4 + -0.6. Which is bigger: -2 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4015*z + 794*z + 93060 + 106761 + 6323 for z.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) be the third derivative of -9*x**7\/70 + x**6\/60 + x**5\/3 - 7*x**3\/6 + 192*x**2. What is the third derivative of q(l) wrt l?\nAnswer: -648*l + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 586 + -358. Is j a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*n**4 + 2*n**4 + n**4 + (5*n - 5*n + 2*n)*(5*n**3 - 3*n**3 + 0*n**3).\nAnswer: n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 11615 + -2926979\/252. Calculate the common denominator of -121\/1476 and s.\nAnswer: 10332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c - 6 = -4*v, -4*v = -1879*c + 1875*c - 25 + 5 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -39 and 51.24.\nAnswer: -1998.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = 2*q**3 + 216*q**2 + 207*q - 637. Give w(-107).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) be the first derivative of z**5\/100 + z**4\/60 - 4*z - 3. Let r(c) be the first derivative of h(c). Factor r(n).\nAnswer: n**2*(n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*p**2 + 5*p**2 - 22*p**2 + 8*p**2.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 18\/(-12) - (-39)\/2. Let y be 29\/(3\/m*-3). Let j = 45 - y. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3.1 in -228, 2\/261, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0017654033 to 4 dps.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.4, -2, -505, 2 in ascending order.\nAnswer: -505, -2, -0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 78*o = 68*o + 70. Let v(d) be the third derivative of d**6\/120 - 7*d**5\/60 + d**4\/24 + 5*d**3\/6 - d**2. Determine v(o).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9\/(-18) + (-9)\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -20011222000202 (base 3) in base 4?\nAnswer: -30202111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -6*p**3 + 2*p**2 + 4*p - 4. Let b(j) = 17*j**3 - 5*j**2 - 11*j + 11. Give 4*b(q) + 11*m(q).\nAnswer: 2*q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 1 times 11.764763\nAnswer: 11.764763","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -33de + -6d5?\nAnswer: -3ab3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 190 + -100. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*o**3 + 2*o**3 - 3*o**3)*(-1 - 3*o + 1)*(9 - 2 + 0).\nAnswer: 21*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -39733201 less than 1073410?\nAnswer: 40806611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 308 and 132?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -4005707 and 3?\nAnswer: 4005710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 32290612?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 357, -0.15, 8\/99?\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2\/547 - -15867\/1094. Let c = -14 + i. Factor -3\/4*q**2 + 0 + c*q + 1\/4*q**4 + 0*q**3.\nAnswer: q*(q - 1)**2*(q + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1564 by -7.\nAnswer: 1564\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (5 + (-98)\/19)*9\/27. Let r = -76 - -382\/5. Sort f, 0.5, 4, r in decreasing order.\nAnswer: 4, 0.5, r, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 3 - 2340?\nAnswer: -2332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -97*d - 95*d + 183*d.\nAnswer: -9*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 6637 + -6077.9. What is l rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-8)\/12*(-36)\/8 + -15. Let h(x) = -2*x**3 - 25*x**2 - 16*x - 20. What is the least common multiple of h(g) and 40?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f**3 + 41169*f**2 + 141137568*f - 706717440 = 0. Calculate f.\nAnswer: -6864, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, -4, -3, 149, 5 in increasing order.\nAnswer: -4, -3, 5, 6, 149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (12\/(-6))\/((-14)\/(-2)*3)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15*g + g + 281*g.\nAnswer: 267*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 12\/(-66) - (-114)\/22. Suppose 3*c + 45 = 3*s - s, 105 = y*s - 5*c. Does 18 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 8*c + 56. Calculate b(-3).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3 by -7.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 7, u: 5}. What is prob of sequence uub?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eaxe when four letters picked without replacement from {a: 5, e: 12, x: 1}.\nAnswer: 11\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.04 from -995.\nAnswer: -994.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = 4 - p + 8 + 5 - 16. Calculate h(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1556b25 (base 13) in base 15?\nAnswer: -90201b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2467 * 0.2.\nAnswer: 493.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bbb when three letters picked without replacement from {u: 3, v: 4, b: 5}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0001510057 to 7 decimal places.\nAnswer: 0.000151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 912 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -153 divided by -1002997.\nAnswer: 153\/1002997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -178*v + 3*v**2 + 588*v - 5 + 5 to a*v + r*v**2 + x and give a.\nAnswer: 410","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 5 in 102\/131, -2, 10.5?\nAnswer: 102\/131","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1132906203.\nAnswer: 3, 11, 13, 22571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) be the first derivative of 3688*k**6\/3 + 23*k**2\/2 - 32*k + 6519. Find the second derivative of f(i) wrt i.\nAnswer: 147520*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-41)\/((i**19\/i)\/i)*i**22\/i**(2\/7))**(-47) assuming i is positive.\nAnswer: i**(11938\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 1, o: 2}. What is prob of picking 2 o?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -29 - -32. Let c be ((-121)\/44 + 2 - (-6)\/8)\/(-1). Let g be 6\/(-10) - (-48)\/(-20). Sort g, c, 15, x in descending order.\nAnswer: 15, x, c, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -2*n - 1. Determine x(-8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 26872 and 3359?\nAnswer: 26872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 38 a factor of 440569262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d + 0*d + 3 = 5*x, -15 = -4*d - x. Let y(f) = -f + 3. Let u(j) = -j. Let k(q) = -2*u(q) + y(q). Determine k(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = s - 1, -13*r = -11*r + 5*s + 5 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7385 divided by 1477.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y - 4*h = -181, 2*y - h - 79 = 27. What is the greatest common divisor of y and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 1, p: 1, d: 2, h: 4, f: 1}. What is prob of picking 2 h and 1 j?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 195 and 965211?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16893.\nAnswer: 3, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2844 and 77389506?\nAnswer: 1422","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6909.\nAnswer: 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1746 + 1750. Which is the third biggest value?  (a) 3  (b) d  (c) 2.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + -9 - (-12 - ((14 - 19) + -9)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h - 7 + 1 = 0. Let o(x) be the second derivative of -x**4\/12 - 2*x**3\/3 + 7*x. What is o(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = r**2 + 19*r - 18. Let v be (10 + -4)\/((-6)\/20). Let l be t(v). Solve -l*w + 9 = w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 5 + ((-7)\/(14\/(-4)) - 3). Solve -g*p - 4*p + 24 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (6*c**3 + 4 - 4)*(5*c - 21 + 21 + (0*c + 2*c + 11*c)*(-3 + 4 - 3)) to the form j*c**2 + f*c + t + p*c**3 + y*c**4 and give y.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -c**2 + 8*c - 11. Let q be k(6). Let d be 8*q\/2 - 2. Calculate the highest common divisor of 22 and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jbnbqjaajbabbz. Give prob of picking 1 n and 2 a.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let 10*v**2\/17 - 4184*v\/17 + 18216\/17 = 0. Calculate v.\nAnswer: 22\/5, 414","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*t + 76 = 316. Let s(i) be the first derivative of 0*i**2 + 0*i**3 - 3\/4*i**4 + t*i + 11. What is the first derivative of s(c) wrt c?\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r + 69 = -5*k + 4, -71 = 5*r + 3*k. Let n(b) = -b**3 - 17*b**2 - 20*b - 24. Let y be n(r). Let l = y + -40. Is 18 not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -a**3 - 3*a**2 - 2*a - 2. Let q be i(-3). Let m be q*(-1)\/2*-2. Sort 1, -3, m in descending order.\nAnswer: m, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h**(3\/4)*h)**(1\/11))**(23\/4))**(-7) assuming h is positive.\nAnswer: h**(-1127\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5*(-26)\/(-4)*(-38)\/95*3.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 400 minutes after 9:30 PM?\nAnswer: 4:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1203521?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*v, 3*y = -4*v + 2 + 1. Let p be (-2 + 1)*(-4 + y). Let s(t) = -t**3 - 3*t**2 - 3*t - 1. Let z be s(-2). Is z bigger than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 430*a**4 - 3*a**2 - 6*a + 16?\nAnswer: 5160*a**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 14\/(-42) + 1650\/(-99)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) be the second derivative of -189*c**6\/10 + 299*c**4\/6 + 217*c - 1. What is the third derivative of w(k) wrt k?\nAnswer: -13608*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1800\/(-240))\/((3*-1)\/(-6))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 j and 1 u when three letters picked without replacement from {o: 4, u: 1, s: 1, x: 4, j: 4, b: 3}?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -18 - -112. List the prime factors of g.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.5 and 4872?\nAnswer: 4871.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 279 a factor of 60313849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide -194832 by -6.\nAnswer: 32472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 5 divided by -8\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oejy when four letters picked without replacement from jyyeo?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2605 + 4039 = 1373*g - 1071*g for g.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -59, 4, -4\/9 in increasing order.\nAnswer: -59, -4\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 42 minutes after 4:10 PM?\nAnswer: 4:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 872 + -867. Let j = -4 - -6. Which is the closest to 0.07?  (a) j  (b) 3  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r = -5*x + 2, -4*x - 3*r - 1 - 2 = 0. Suppose 3*p - 5 - 4 = x. Suppose 2*t = -3*l + 94, 4*l - 148 = -0*t + p*t. Is l a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -347684.9978 + 347657. Let x = -27.957 - 0.043. Let k = x - w. Round k to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -5*a**2*t**2 + 1237*a**2*t*x - 3416*a*t**2*x + 2*t**2*x + 2*x wrt a.\nAnswer: -10*t**2 + 2474*t*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 7117 + -7117.1. Which is the fifth smallest value?  (a) -0.036  (b) 3  (c) -3  (d) 2  (e) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3263?\nAnswer: 13, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l - 2 - 4 = 0, 0 = -5*b + 4*l + 8. Let m(h) = -h**2 + h + 110. Let j be m(b). Suppose c - 3*c + j = 0. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 7603 + -22811\/3. What is the third smallest value in 0, 3, j, 2\/5, 0.46?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3985*p**6*q + 1131*p**3*q - p**2 + 94*p*q - 2506*p - 3*q - 2 wrt p.\nAnswer: 478200*p**3*q + 6786*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r = 2*r - 12. Let p be (-45)\/6*r\/3. What is the units digit of (-6 + p)\/(-2*1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - 2*o = -0*p - 10, 2*p - 5*o + 7 = 0. Let s be (-1)\/(-3) + 2\/p. Suppose -5*h + 300 + 125 = s. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 132 + -78. Suppose -2*m = m - z. Calculate the greatest common factor of m and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine l so that -1\/2*l**5 - 30*l**2 + 0 - 61*l**3 + 396*l - 21\/2*l**4 = 0.\nAnswer: -11, -6, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 19\/105552 and 85\/52776.\nAnswer: 105552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -1010 (base 2) in base 6?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -60130 + 98669. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) be the second derivative of w**6\/180 + w**3\/2 + w. Let r(x) be the second derivative of n(x). Let t(p) = 2*p**2. What is t(r(q))?\nAnswer: 8*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k + 3 = 0, -31 - 15 = -2*i - 2*k. Suppose -25*z = -19*z - i. Sort z, 2, -2, -4 in ascending order.\nAnswer: -4, -2, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*g - 20 = 5*c, -7*c + 5*c = -17*g + 83 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 5*l**3 + 11*l**2 - 1. Let x(j) = -4*j**3 - 10*j**2 + 1. Suppose 2*m - 11 - 1 = 0. Let u(r) = m*x(r) + 5*w(r). Suppose 33 = 5*v + 8. What is u(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 494208 is divided by 41183?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 174112 and 2829320?\nAnswer: 11317280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 283002 - -463741. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -18 + 13. Let t = -2 - u. Find the common denominator of t and -1*2 - 75\/(-21).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 175000 = 356*t - 331*t. Is 47 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 - 4*y**2 + 0*y + 3*y**2 + 3*y**4 + 2*y to x*y + z + t*y**3 + l*y**2 + n*y**4 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = z - 20. Let a be m(8). Let s be ((-2)\/a)\/(246\/(-28)). Let v = -319\/246 - s. Calculate the common denominator of v and -9\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -h - 4*h**3 + 5*h**3 - 2 + h**3 - h**2. Let c be x(3). What is the units digit of -1 + 3*c\/6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -18684 - -18703. Solve 5*p - 16 = -x, 155*p - u = 150*p - 4*x for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -193*q**4 + 3*q**3 - 950*q**2 - 2 wrt q?\nAnswer: -4632*q + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*c = -2*w - 12*c + 19, -11 = 2*w - 3*c for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -545, -580, -617, -656, -697, -740, -785?\nAnswer: -832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*c + 19424 = 4*c - 135896. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(13) + (sqrt(832) + 5*sqrt(832) + sqrt(832))**2 - sqrt(13))*1 + sqrt(325)*3 + 2.\nAnswer: 15*sqrt(13) + 40770","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve x + 89*h = 90*h + 1, 0 = -75*x + 79*x - 6*h - 8 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 22*t*u**3 - t*u**2 - 123*t*u - 15882*u**3 - u wrt t.\nAnswer: 22*u**3 - u**2 - 123*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -n - 16. Let q be j(-13). Let m = -2\/51 - -55\/102. What is the closest to q in 3\/5, 0.3, m?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -n**4 + 934*n**3 + n**2 - 23*n - 18 wrt n?\nAnswer: -24*n + 5604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (1\/77*2)\/(348\/7308)\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -148 - 10 = -23*v + 141 for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-five quarters of a litre in millilitres?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 218 + -153. Let l = b + -67. Let q be 800\/(-10)*33\/l. Round q to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -2 + 5*r - 2*r**3 - 7*r**2 - 13*r + 3*r**3 + 0. Let l be p(8). Sort l, 3, 5 in descending order.\nAnswer: 5, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r = -5*r + 16. Suppose -12 + 112 = 4*u. Solve u = -2*p + 5*z, 0*z = r*p + z - 5 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 bigger than 2\/3175?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -840, -1662, -2484, -3306?\nAnswer: -4128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 217 * -4.\nAnswer: -868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*j - 2 + 2 - 27*j**3 - 17*j.\nAnswer: -27*j**3 - 14*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -154\/433, -10 in descending order.\nAnswer: 2, -154\/433, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -42 + 51. Put -3, r, -5, 4 in decreasing order.\nAnswer: r, 4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -m**2 + 5. Let n be v(0). Suppose -d - 8 = -i, 2*d = -3*d - n*i + 10. Let j = 0.3 - -0.1. What is the third smallest value in -4, j, d?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -3*g**3 + 8*g**2 + g - 2. Let a(l) = 4*l**3 - 9*l**2 + 3. Let m(o) = -2*a(o) - 3*h(o). Let x be m(6). Let p = x - -16. Which is bigger: -8\/5 or p?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8422 = -1572*y + 16861 - 7991 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*-6*((-4 + sqrt(75))*-3 + sqrt(75))*-1 + 2)**2.\nAnswer: -137280*sqrt(3) + 254596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 20\/50 + 2\/(-10)*-8. Suppose 3*k = -2*t + 111, s*k + 0*k = -3*t + 169. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 19\/(-4) - 2\/8. Let t be (-2)\/(-4) + 22\/(-4). Is t > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 378127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*m**3 - 2*m**5 + 3*m**3 + 3*m**5 - m**5 - 3*m**5 + (2*m**3 - 2 + 2)*(0*m**2 - 2*m**2 + 4*m**2) + m**2 + 2001*m**3 - 19*m**5 - 2001*m**3.\nAnswer: -18*m**5 + m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*i + 5*c = -23*i + 24995, i - 5*c = 5005. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 48 is divided by 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p = 5*y - 95533, 0 = -p - 2*y + y + 47762. Suppose 21380 = 4*s - 67584. Suppose s = 4*d - p. Round d to the nearest 1000.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 91589958 divided by 6.\nAnswer: 15264993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = j - 8. Let q be v(11). Let g(n) = -4*n**3 + 5*n**2 - 5 - 2*n**3 + 6*n + 0*n**3 + 5*n**q. What is g(6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 328, 344, 360, 376, 392?\nAnswer: 408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine l, given that 4*l**4\/7 + 24*l**3\/7 - 60*l**2\/7 + 32*l\/7 = 0.\nAnswer: -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 699 minutes before 10:52 PM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -v**3 - 13*v**2 - 11*v + 15. Let y be o(-12). Suppose -y*x - 5 = -17. Solve x*b + 2 = -14 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*p + 2*f - f + 140, p + 4*f - 52 = 0. Suppose -6*x = 76 + p. Let z be x\/(-16)*(2 - 84\/(-9)). Solve -4*s = 1 - z for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 221525 is divided by 397.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -8123\/25 - -325. Let k(t) = -47*t - 1. Let p be k(1). Let s be (-2)\/5 + p\/(-195). Sort s, 3, y.\nAnswer: s, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2266 - 2266 + 1825*d**5 + (0*d**5 + 0*d**5 - 2*d**5)*(0 + 0 + 2) + d**5 - 4*d**5 + d**5.\nAnswer: 1819*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 1627482 to the power of 1\/2, to the nearest integer?\nAnswer: 1276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*k + 316 = -664. Calculate the highest common factor of k and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 168 and 680?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - p = 758, 27*p - 955 = -5*j + 32*p. What is the remainder when j is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) be the second derivative of -j**4\/4 + j**3 + 9*j**2\/2 - 20*j. Let r(w) = 0. Calculate w.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -58747, -58765, -58779, -58789, -58795?\n\"Answer: 2*j**2 - 24*j - 58725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1\/(-2) + 9\/18. Suppose 2*k = 6*k - 208 + 80. Solve w = 37*h - k*h + 15 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 + (5 + -6 - -2 - -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -15.3 + 15. Let b = 27 + -36. What is the nearest to 0.1 in b, k, -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1615 - -1611)\/(5\/2 + 0)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1100 - -1102?\nAnswer: 2202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) be the first derivative of 5*j**2 - 26*j - 2. Let u = -864 - -870. Is t(u) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 11, c: 3}. Give prob of sequence ccm.\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 392609 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + h = -14. Let i(g) = 12*g + 6. Let o be i(h). What is the highest common factor of o and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3569052 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide 111675 by 3.\nAnswer: 37225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 6. Let r(k) = -k**2 + 7. Give 6*c(j) - 5*r(j).\nAnswer: 5*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 418754?\nAnswer: 2, 7, 4273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2*1*(-109)\/218.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.6774 - -0.6774. Which is the closest to 1?  (a) 0.4  (b) -0.32  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 450 - 470 = -9*f + 29*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q - 1 = 3*n + 224, -1 = n. Calculate the greatest common factor of q and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 12 - -20011210012?\nAnswer: 20011210101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 117724460 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3160 = 144*d - 139*d. Suppose 6*x - 7*x = -5*t - d, 3*t = 3. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve d + 4*d = -2*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -6*l**2 - 7*l**2 + 3*l**3 + 6*l**2 wrt l?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 2.2, -0.2, -0.39, 0, -4?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 62731?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 366501 is divided by 3479.\nAnswer: 1206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -l + 39 - 37 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 25361 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 150800422679 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3 + 2*t**3 - 18*t**2 + 33*t**2 - 14*t**2 to h*t**2 + o + u*t + f*t**3 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) be the third derivative of -983*v**5\/60 - 495*v**3\/2 - 1458*v**2. Find the first derivative of i(j) wrt j.\nAnswer: -1966*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.543224 + 2?\nAnswer: 3.543224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -26 divided by 92?\nAnswer: -13\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*d - 6*l = -120, -5*l + 102 = 133*d - 130*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*j + 2*j + j)*(-1 + 2 - 3) - 2*j - 2 + 2 + (1 + 4 - 4)*(4 - 4 + 2*j) + 6*j + j - 5*j + 0*j - 2*j + 4*j.\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 6428 + -6000. Calculate the greatest common divisor of 20758 and r.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 26665 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: What is the remainder when 139 is divided by 48?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w = -w. Suppose 0 = -w*g - 5*g - 50. Let c = 2 - g. Solve 0 = 4*l - 0 + c for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gd when two letters picked without replacement from ddcdggggggdgg?\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Total of -1 and 185882.741.\nAnswer: 185881.741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*b**3 - 3*b**3 - 8*b**3 - 14*b**3.\nAnswer: -25*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -48 - 9. Do -57 and u have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-35)\/42*9\/(-3))\/(-12*2\/(-432))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.469 to 2 dps.\nAnswer: 0.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 277160777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t, 2 v, and 1 m when four letters picked without replacement from {t: 1, m: 2, x: 1, v: 2, l: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 336*k = 669*k - 362*k + o + 1157, o = -2*k + 83 for k.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 322 + -42?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = y**3 - 2*y**2 - 4*y. Let s be 6\/15 + 2\/(-5). Suppose s = -3*m + 1 + 14. Is p(m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 > 204?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -s - 26. Let v be 566\/4 - ((-300)\/24)\/(-25). Let x = v + s. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 126122 is divided by 764.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6*u**2 + 7*u - 3*u**2 + u**2 - u**2 to the form p*u + w*u**2 + g and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + sqrt(175)*2*-3 + -5)**2.\nAnswer: 180*sqrt(7) + 6309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -w**3 - 2*w**2 + 3*w + 2. Let f be d(-3). Suppose -3*o - 25 = -5*g, -f*g + 47 = 2*g + 3*o. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 2*o**2 + 5*o + 2. Let f be ((-10)\/(-4))\/(24\/48). Let r(n) = -4 + f*n**2 - n - n**2 + 3 - 5*n**2. Calculate -m(a) - 4*r(a).\nAnswer: 2*a**2 - a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -8*y**2 - 6*y + 2. Let z(m) = 17*m**2 + m + 92. Let v(s) = -11*s**2 - 66. Let k(f) = -7*v(f) - 5*z(f). Determine -7*k(r) + 6*o(r).\nAnswer: 8*r**2 - r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 82.49962 litres?\nAnswer: 82499.62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 133 + 23 = 0. Let t = 46 - a. 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: Divide -364157 by -19.\nAnswer: 364157\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 4\/5, 3, -3, -17, 5\/3 in ascending order.\nAnswer: -17, -3, 4\/5, 5\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2492\/15 - -166. Let g = 46 + -49. Which is the smallest value?  (a) i  (b) 4  (c) 3\/7  (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-4)\/18 + 20\/9. Let i = 52 - 16. Suppose -p + i = b*p. What is the highest common factor of 96 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-144)\/(-2)*136\/1088?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2, -78\/11, -4\/25?\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from iyifyoafg. What is prob of picking 1 f, 1 y, and 1 o?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (d + 0 + 0)*(-4*d**2 + 4*d**2 - d**2)*(d**2 - 9*d**2 + 0*d**2).\nAnswer: 8*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 2 + -15 + 11 - -5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 58*184\/(-80) + (4*2 - (-304)\/(-40))\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2746*c - 8765*c - 451784 - 388519 for c.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 568 minutes after 6:10 AM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w = 3*w + 4. Let h = 14.8 + -4.4. Let p = -10 + h. Which is the nearest to 0?  (a) -0.5  (b) p  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find a such that 830\/11 + 832\/11*a + 2\/11*a**2 = 0.\nAnswer: -415, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -10546*b + 284751. What is g(27)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let 1083*x**4\/2 - 9671*x**3 + 307417*x**2\/6 - 215816*x\/3 + 89888\/3 = 0. What is x?\nAnswer: 53\/57, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 28011 - 28009.99994. Let t = -0.2 + 1.2. Let f = u - t. What is f rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 2*x - 3*s = 0, -x + 5*s = 8. Let h = x - -6. Suppose -k + 5 = -3*a + h, 0 = -2*a. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (5 - 184\/40)\/((-2)\/(-4430))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pqmwv. Give prob of picking 1 q and 1 p.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 340 + -322. Suppose -535 - 33 = -8*q. Calculate the remainder when q is divided by w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 131, -155, -441, -727, -1013, -1299?\nAnswer: -1585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 453 in -0.1, -0.4, 0.41?\nAnswer: 0.41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -3 - 26 + 17 + 12*l**2 - 10*l - l**3. Calculate the remainder when t(9) is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find m such that 2\/7*m - 13\/7*m**2 + 0 + 20\/7*m**3 - 9\/7*m**4 = 0.\nAnswer: 0, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.2 and 93.\nAnswer: 18.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 89775936 and 1024?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12318*c - 209 = -12337*c for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5*g**5 + 1534*g**4 + 2*g**3 - 4016*g**2 - 6*g.\nAnswer: 300*g**2 + 36816*g + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 148 is divided by 53?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from mhhjdhhdmhh?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2835*t**3 + 6*t**2 + 51836 wrt t.\nAnswer: -8505*t**2 + 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0042589707 rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = 8731*f - 2043062. What is x(234)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v and 2 z when three letters picked without replacement from vvzyvbbzvbvvbvvbvz.\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let 11*c**5 + 797*c**4\/3 + 2731*c**3\/3 - 10757*c**2\/3 - 50644*c\/3 - 12640 = 0. Calculate c.\nAnswer: -632\/33, -5, -3, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 49.6 - 49. Let w = -48173555 + 48173555.59999926. Let f = w - s. What is f rounded to 7 dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -8083, -17689, -28771, -41335, -55387, -70933, -87979, -106531?\n\"Answer: -d**3 - 732*d**2 - 7403*d + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 33566555?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4294 and 8136?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5640?\nAnswer: 2, 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 303 minutes after 5:04 AM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 14*k**2 - 6*k - 2. Let x(z) be the third derivative of -2*z**5\/15 + z**4\/8 + z**3\/6 + 146*z**2. Let y(t) = 6*g(t) + 11*x(t). What is y(-3)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -100781 - -9070111\/90. What is the common denominator of 73\/16 and w?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 806322 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -26, -19, -8, 7, 26, 49, 76?\n\"Answer: 2*v**2 + v - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -14 + 8. Let g = 11 + r. What are the prime factors of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 25169207 is divided by 29?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 759, 1538, 2317, 3096?\n\"Answer: 779*r - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -n**2*w + n*p**3 - 15*n*w + 3*p**3*w - p**3 + 17*p*w wrt n.\nAnswer: -2*n*w + p**3 - 15*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 6 - 3. Let c be 4\/(4\/g) + 21. Calculate the greatest common factor of c and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*m**2 + 6*m - 3*m + 3*m**2)*(0 + m + 0).\nAnswer: 6*m**3 + 3*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 55751527?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {c: 3, h: 2, s: 8, b: 3}.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 4\/(-10)*(-2 + -3). Suppose -5*q = w + k, 3*w + 2*w - 4*q - 19 = 0. Solve 0 = n - 2*n - w for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40*a + 42*a = 20. What is the lowest common multiple of a and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 21002 + -2211?\nAnswer: 11021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -42 divided by 6?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 11.3 - 6.6. Let b = f - -0.3. Let c = -4 + b. Which is greater: 5 or c?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3740 - -3748. Solve -g*m + 7*m = 14*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1698*q + 953*q = -931*q - 9672 for q.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1111 + 221?\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*b**2 + 228*b**3 - 1520*b**3 - 5*b**2.\nAnswer: -1292*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14109?\nAnswer: 3, 4703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*l**3 + 274543680*l**2 + 4710889514246400*l.\nAnswer: 4*l*(l + 34317960)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 29429 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is -4564242 at most -4564237?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find h, given that 3*h**3 - 3627*h**2 - 252255*h - 248625 = 0.\nAnswer: -65, -1, 1275","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 18614?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v = -6 - 2. Suppose 3*h - 3*o = -12, v*o - 4 = -h + 5*o. Let c = h - -12. Solve u - c*u - 12 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -38766720 divided by 1938336?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -300365\/7 - -42909. Which is the third biggest value?  (a) 9  (b) n  (c) 1\/4  (d) 0.58\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -24*g**4 + 31*g**3 - 193*g**2 - 62*g + 655. Let j(x) = x**4 + 2*x**2 - x - 1. Let n(s) = -100*j(s) - 4*y(s). Factor n(f).\nAnswer: -4*(f - 3)**2*(f + 2)*(f + 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 27 divide 12312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v = -2*l - 269, -l = 3*v - 4*l + 294. Let f = v - -98. Suppose 4*i = f*i - 53. Calculate the remainder when i is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 238*1\/2*(0 + -1). Let s = 204 + x. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -2*z**2 + 14*z - 31. Determine d(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2536 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -4*j**2 - 2*j + 2. Let q be l(-2). Let h(y) = -2*y - y**3 + 0*y**2 - 10*y**2 - 6 - 2*y. What is the tens digit of h(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 0 + -1 + 1\/2. Let o = 2.232 + -0.232. What is the closest to -0.1 in p, 2\/3, o?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j*j*j**(-8)*j*j*j**9\/j*(j\/j**(-2\/3))\/j**(3\/11) assuming j is positive.\nAnswer: j**(178\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 6174 - 5965. Let u(j) = 6*j. Let a be u(7). Let v = a + s. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 102, 15, -118, -297?\nAnswer: -522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y = 2*g + 137 + 11, -3*y = 2*g - 128. Let n = 41 - 16. Suppose -r = -y - n. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 715 and 1206?\nAnswer: 862290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7 - 7 + 393*k**2 - 369*k**2.\nAnswer: 24*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*s**2 + 25214*s + 3564704.\nAnswer: 2*(s + 143)*(s + 12464)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -61*y + 1029. Is b(-6) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 324379697 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -929*t**5 - 2*t**4 - 202*t**2 - 3825224*t wrt t.\nAnswer: -18580*t**3 - 24*t**2 - 404","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 316\/(-395) + (18 - 525\/30)\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (78\/(-156))\/(90\/12)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 9557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -4*d + 33. Let o(f) = -3*f + 102. Let u be o(31). Let l be i(u). Do l and -102\/23 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*j - 5*p = 23, -47*j + 3582*p = -45*j + 3578*p + 8 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 5 + 2)*(2*c + c**2 - 3*c**5 + c**4 - 1700 + 1700).\nAnswer: 9*c**5 - 3*c**4 - 3*c**2 - 6*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 530, 1061, 1592, 2123, 2654, 3185?\n\"Answer: 531*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) be the second derivative of -v**4\/24 + 4*v**3\/3 - 16*v**2 - 55*v. Find z, given that q(z) = 0.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 8) in base 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -5*h**2 + 6*h - 6. Let b(t) = -4*t**2 + 5*t - 5. Suppose -11 - 7 = -3*c. Suppose 5*x - 15 = 8*x. Determine c*b(z) + x*r(z).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 3157476876?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 38807 or -2330?\nAnswer: 38807","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -2*r**2 + 73*r - 102. Let p be t(35). Let j(v) = -8*v + 8. Let s(h) = -h + 1. Let q(d) = j(d) - 5*s(d). Give q(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of (2\/4*-1)\/(-15 + (-956)\/(-64)) and 5468.\nAnswer: 10936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 divided by 14?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 51015 (base 6) to base 14.\nAnswer: 2631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2\/11*n**2 + 4\/11*n + 2\/11.\nAnswer: 2*(n + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i**3\/7 - i**2 + 34*i\/7 + 40\/7 = 0. What is i?\nAnswer: -10, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -92, -382, -866, -1544, -2416, -3482?\nAnswer: -4742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*j - 30 = 5*y, -63*y + 64*y = 5*j + 6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 1 q when two letters picked without replacement from {q: 3, p: 2}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2 - -19. Suppose 0 = -w*g + 28526 + 5525. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -75 and -75.2701.\nAnswer: 5645.2575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 + -5 + 0 + -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-75)\/(-20) - 3)\/((-63)\/24).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Are -28305 and -28296 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 24296 + -24297.3707. Let m = a + 1.28. Round m to two dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1540773 is divided by 7337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ybyttnxtetyxbxbxyt. What is prob of picking 2 n and 1 e?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = w + b, 2*w - 3*w + 2*b = -11. Let r(p) = -41*p**3 + w*p**2 - 6*p + 4*p**2 - 4*p**2 - 3 + 42*p**3. Determine r(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -x**3 + 23*x**2 - 39*x + 5. Determine y(21).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((p**(-3\/10)*p)\/p)\/(p\/p**(-24)*p*p))\/(p**21)**12 assuming p is positive.\nAnswer: p**(-2793\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 6*5\/(-100)*(-3970)\/1191\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -384 - -384. Let g(a) = -47*a**2 + 100*a - 8. Let i be g(2). Factor 0*f**3 + k - 4\/3*f + 2*f**2 - 2\/3*f**i.\nAnswer: -2*f*(f - 1)**2*(f + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*x**2 + 120*x**4 - 118*x**4 - 32 - x + 2 in the form m*x**2 + p*x**3 + f*x + g*x**4 + s and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 11664, -7677, -27020, -46365, -65712?\nAnswer: -85061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -82593, -329907, -742095, -1319157?\nAnswer: -2061093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1879 - -11269\/6. Sort -7, -0.5, -21, s in decreasing order.\nAnswer: -0.5, s, -7, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8557 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 198 is divided by 21?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 24 take away 92.4539695?\nAnswer: -68.4539695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 158\/1465 or 151.1?\nAnswer: 158\/1465","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -2*g**3 + 12*g**2 + 4*g + 5. Let j be c(6). What is the greatest common divisor of 3625 and j?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 955185 divided by 35.\nAnswer: 27291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1001101111101101111010 (base 2) to base 4.\nAnswer: -21233231322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 873*t - 873*t + 2*t**3.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2228.98 + 2229. Which is the smallest value?  (a) 2\/27  (b) j  (c) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -174215\/10129 >= -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (9\/(-12))\/((-58)\/(-464)). What is the closest to l in 0, -4.5, 1\/2, -4?\nAnswer: -4.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*o - 171 + 171 + o.\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 at most 4\/23000223?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Suppose s = q + 3*q - 624, 0 = 2*q + s - 312. Let l = -34 + q. Does 19 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (10 - 7) + -2 + 7 + 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -76*d**6 - 216*d**3*q + 5*d**2*q + 8*d**2 + 48*d*q + 1 wrt d.\nAnswer: -9120*d**3 - 1296*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.371 - -0.431. What is the closest to 1\/4 in h, -5, -0.4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) be the third derivative of -f**5\/300 - 43*f**4\/40 + 476*f**3\/15 - 2*f**2 - 569. Factor j(z).\nAnswer: -(z - 7)*(z + 136)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = q**3 + 4*q**2 - 11*q + 4. Let b be j(-5). Calculate the highest common divisor of 2 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25891841 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.142 + 0.242. Suppose 4*p + 43*h = 41*h - 38, 0 = -4*p + 4*h - 56. Which is the second smallest value?  (a) 2  (b) -1\/4  (c) p  (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*m - 4*j + 37 + 12, 2*m + 4*j = 38. Let o(a) = 23 + 17*a + 3 - 10. Is o(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -7794 - -8790. Is 4 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor z**2 + 4499*z + 160668.\nAnswer: (z + 36)*(z + 4463)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 107380 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 33*t - 76*t = 101*t + 1296 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 66311877 - 66311877 - 6*t.\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in 0.4, 1, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16*x**2 - 7*x**2 - 4*x**2 - 4*x**2 + 3514 - 3323.\nAnswer: x**2 + 191","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -10 + 6. Let c(s) = -s**3 - 6*s**2 + 6*s + 2. Let q be c(r). Let j = 85 + q. Is j a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5542944?\nAnswer: 2, 3, 11, 29, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(6\/7))**20*(p**(-35\/3)*p)\/((p*p*p*((p\/p**10)\/p*p)\/p*p)\/p) assuming p is positive.\nAnswer: p**(283\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -867541496*c**2 - 9129627*c + 22?\nAnswer: -1735082992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = k**3 + 7*k**2 - 11*k. Suppose 0 = 2*o - 8 - 14. Suppose -4*a = -o + 43. Is h(a) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -b**2*z**4 - 8*b**2*z + 511*b*z**3 + 16*z**4 + z**2 + 133 wrt z.\nAnswer: -24*b**2*z + 3066*b + 384*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 + 44 = 5*r. Let t = -143137 + 143337. What is the highest common divisor of t and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (1 - (2 + -2))*(-7 + 40). Which is smaller: y or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 + (-20)\/(-15) + (-6)\/126\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13282 a multiple of 229?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1559 + -1143. What is the smallest common multiple of 312 and m?\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4850947 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -79*j. Let z(u) = 78*u - 1. Let i(w) = 6*a(w) + 7*z(w). Let n be i(2). Suppose -5*o + 53 + n = 0. What is the remainder when 151 is divided by o?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = g. Let r(x) = -32*x**2 + 3*x. Determine r(k(s)).\nAnswer: -32*s**2 + 3*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 0 + -3 - (5\/(-5) + -2). Put 4, p, 0.2, -2 in decreasing order.\nAnswer: 4, 0.2, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 16255456 to the nearest integer?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (190\/(-228))\/((-2)\/(-12))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 36791 - 1140520\/31. Which is the second biggest value?  (a) 3  (b) 0.21  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*3*(-2 + (sqrt(28)\/(-3*sqrt(4)))**2).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -202\/5*h + 644\/5 - 56\/5*h**2 - 2\/5*h**3.\nAnswer: -2*(h - 2)*(h + 7)*(h + 23)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 57*d + 182. Let s be h(10). Calculate the greatest common divisor of 8 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 379273558*j**2 + 821724305*j wrt j?\nAnswer: 758547116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -4*h - 10. Let u(g) = 9*g + 20. Let s(d) = -7*t(d) - 3*u(d). Suppose 2*n - 5 = 1. Calculate the remainder when n is divided by s(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 64290923 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g = 2*g. Suppose 0*f + 3*f = g. Let j(s) = -s**3 - s**2 - s + 7500000. Let t be j(f). Round t to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2236 + 2229. Let i(m) = -13*m + 3 + 6*m - 6*m - 10. Let s(u) = 7*u + 4. What is z*s(q) - 4*i(q)?\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -q**2 + 6*q - 1. Let h = 18 - 14. Suppose 2*c + n = h*n + 8, n = 0. What is the units digit of x(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 9 - 7. Suppose -3*n - q*s = -6*n + 45, -3*n + 48 = -3*s. What are the prime factors of n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/3?  (a) 70  (b) 3\/2  (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(35) - sqrt(140)\/sqrt(4)*-4) + sqrt(35))*-5)\/(sqrt(42)\/(sqrt(600) - (sqrt(600) - (sqrt(600)*1 + sqrt(600))))).\nAnswer: -600*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*sqrt(112) + 2 + ((sqrt(7) - sqrt(70)\/(1*sqrt(10))) + sqrt(700) + 2)**2.\nAnswer: 24*sqrt(7) + 706","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 37336*d**2 - 12038 wrt d.\nAnswer: 74672*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (-203)\/(-1537)*(-76)\/(-266)\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/(1590\/2968*3\/9)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*i - 1 - 9. Let t = -6 + -3. Let o = 11 + t. Solve -o*v - v = -6, 4*v - i = -3*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10 - 6 + 2)*(-9 + 9 - 5*w)*(5*w - 5*w - w**2).\nAnswer: 30*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) be the third derivative of i**5\/30 + 9*i**4\/4 + 16*i**3\/3 + 15*i**2 - 2. Calculate the remainder when v(-27) is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 3 - -82413b9?\nAnswer: 8241400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*m - 3*m + 5*m - m - 3*m + 2*m + (0 - 4 + 2)*(-4*m + 4*m - 2*m))*(850*m - 733*m + 997*m).\nAnswer: 4456*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 496 + -490.71. Let b = p - 5.3. What is the third biggest value in -3, 5, b, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 10, t: 9}. Give prob of sequence it.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -4*c**3 - 4*c**2 - 3*c + 1. Let d be k(-3). Suppose d = -5*q - 133. Do -43 and q have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1.12 + 1.1. Which is the third biggest value?  (a) 2  (b) m  (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 297150.8ml in litres?\nAnswer: 297.1508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -11*s. Let m be n(-5). Suppose 7*z + m = 12*z. Suppose -2*i + 242 = -0*i. What is the greatest common divisor of z and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1252*a**4 + a**3 + 7614*a**2?\nAnswer: -30048*a + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + 9 + 6 = 2*t, -3*t + 5*q = -13. Let c be t\/9*(-6)\/(-16). Factor c*n**5 - 1\/4*n**4 + 0*n + 0 + 0*n**2 + 0*n**3.\nAnswer: n**4*(n - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -26 or 4611867?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1.95 + 2. Let j = 0.05593 + 0.04407. Sort i, j, 1\/2, -1 in increasing order.\nAnswer: -1, i, j, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u - u + 12 = 0. What is the nearest to 1 in 2, -1\/8, u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -33, -5, 3.3, -9\/23?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 bigger than 78\/40514321?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 5203 - 5178. What is the smallest value in n, 4, -0.5, 0.12?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*k**5 + 3*k**5 - k**5 + (-4*k**5 + 5*k**5 + 0*k**5)*(0 + 4 - 2) + 8*k**5 - 258*k**4 + 135*k**4 + 127*k**4 - 2*k**3.\nAnswer: 12*k**5 + 4*k**4 - 2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 5678 + -5678. Let b = -0.15 + 0.34. Which is smaller: n or b?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -n**2. Let w(x) be the third derivative of 0*x + 0*x**3 + 0 + 1\/30*x**5 - 2*x**2 + 0*x**4. Give t(w(s)).\nAnswer: -4*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.043 take away 539?\nAnswer: -539.043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 3, e: 4, a: 1, q: 3, n: 5, y: 1}. What is prob of picking 1 a and 1 y?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 59*0.06.\nAnswer: 3.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 11401 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.05 - -0.21. Let m = q + 1.84. Let i = 2.3 + -2. Sort -3\/7, i, m in ascending order.\nAnswer: -3\/7, i, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3\/(-6))\/((-5)\/(-70)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -c**3 - 6*c**2 - 6*c - 4. Let r be y(-2). Let v = 18 - 18. Put -1, r, v in decreasing order.\nAnswer: v, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*g**5 + 2*g**2 - 5*g**2 + 4*g**2 - 19*g**6 + 11*g**6 + 0*g**2 + 577 wrt g.\nAnswer: -960*g**3 - 120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -12*n + 342. Let x be d(15). What is the greatest common factor of x and 738?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5304823031 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 62956, -2\/281, 0.3, 3\/2?\nAnswer: -2\/281","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m + 2*z - 8 = 0, -5*m - 5*z + 13 = -6*m. Suppose -5*u + m*o = -3*o - 10, 10 = 5*u - o. Let w(i) = 4*i - 3*i**2 + 3*i**2 + u*i**2 - i**2. Give w(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 1, j: 1, h: 14}. What is prob of picking 1 j and 2 h?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u, 1 f, 1 l, and 1 b when four letters picked without replacement from {u: 1, d: 2, l: 1, b: 3, f: 2, h: 3}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {n: 2, l: 1, p: 1, c: 1, x: 1, s: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*c**3 - 636*c**2 + 4341*c - 7380.\nAnswer: 3*(c - 205)*(c - 4)*(c - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(57) + (-3*sqrt(171) + sqrt(171))\/sqrt(3))*5)\/(4*sqrt(768)).\nAnswer: -5*sqrt(19)\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*z = -n + 16*n - 15, -z - 30 = -n - 29 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -36.783 rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 19101 is divided by 435?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 53\/270456 and 41\/2360?\nAnswer: 1352280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 744840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve f = -3*j + 9, 0 = 33*j - 37*j + f - 0*f + 5 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m = -25, -m + 2*m - 23 = 2*y. Let a be 17\/(-2) + 8\/(-16). Let n = a - y. Solve 2*d + n + 5 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8995.29 milligrams in nanograms?\nAnswer: 8995290000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 5210006572 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from {k: 6, f: 12}.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 102529029.\nAnswer: 3, 34176343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1416 = -5*i - 5*v - 1401, 3*v + 51 = 9*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -743 + -101?\nAnswer: -1044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -6e - 77c?\nAnswer: -7eb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -9055, 3885, 16825, 29765, 42705, 55645?\n\"Answer: 12940*x - 21995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*r + 111 = -19. Suppose r*t - 20 = 5*t. Suppose 3*m = 4*d + 689, -m = -0*m - t*d - 227. What are the prime factors of m?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from foraaaf. Give prob of sequence fa.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25 = 4*z + z - 1206*d + 1207*d, 31 = -4*z - 3*d for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Total of 129786 and 23859412.\nAnswer: 23989198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -6*t**2 - 8*t**2 - 11*t**2 - 7*t**3 + 40*t**3 wrt t?\nAnswer: 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 59358559?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k**2\/3 + 38*k\/3 - 728\/3 = 0. Calculate k.\nAnswer: -52, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12\/50*15\/(-6).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:54 PM and 5:04 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 52248916 a multiple of 344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5386?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 559, 559, 561, 565, 571, 579, 589?\n\"Answer: k**2 - 3*k + 561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = 8*t**3 - 3*t**2 - 20*t. Let z(j) = 6*j**3 - 2*j**2 - 20*j. Calculate 2*u(s) - 3*z(s).\nAnswer: -2*s**3 + 20*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) be the first derivative of 55*t**2\/2 + 24*t - 16. What is the hundreds digit of x(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -405, 576, 1843, 3396, 5235, 7360?\n\"Answer: 143*t**2 + 552*t - 1100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 0.1  (b) -148  (c) 38  (d) 1  (e) -0.017\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*v - 4*v - 196. Let p be 7\/v - 2*(-21)\/12. Suppose -p*a = -a - 24. What is the least common multiple of 40 and a?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (0 - -3)\/(5*24\/60). What is the biggest value in -1\/4, -7, 48, m, 5?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (3 - 0)*(0 - 1). Let j(n) = 19*n + 6. Let q(a) = -a. Let o(r) = j(r) + 2*q(r). Let c be o(z). What is c rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -1253, 34, -1\/11, 1, -1?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -2*v + 9. Suppose -a - 36 = -v*f - 99, -4*f = 4*a - 132. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1219 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i = 20*x + 40, -i - 5*x + 10*x + 13 = 3 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 913?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -4, 0.2, 1\/2, -12?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*t - 24 + 84 = 0. Suppose r = 2*m - 3, 1 = -4*m - t*r + 14. Solve h = 2*h - m for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = 5*t**3 + 6*t**2 - 6*t - 10. Let o(w) be the first derivative of -w - 6 - 1\/2*w**2 + 1\/3*w**3. Let c(b) = -6*o(b) + r(b). Differentiate c(l) wrt l.\nAnswer: 15*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 130 - -1?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 87, 152, 233, 324, 419, 512, 597, 668?\n\"Answer: -f**3 + 14*f**2 + 30*f + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = x**3 - 7*x**2 - 7*x + 7. Let h be z(8). Let s = -19 + h. Which is greater: 0.3 or s?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) be the second derivative of -x**5\/60 + 5*x**4\/36 + 25*x**3\/18 - 125*x**2\/6 + 146*x + 1. Determine q so that z(q) = 0.\nAnswer: -5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -291040152274.375 take away 0.3?\nAnswer: -291040152274.675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 15271 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 17150.079 - 17151. Which is greater: -7 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (26\/(-6))\/(21\/(-63)). Solve 7 + q = -5*p - i, 5*i + 8 = -2*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-11 + (-31)\/(-3))\/((-7)\/(-3))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21437 rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -21 + 17. What is the smallest value in -0.4, -1, y, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -6237 - -3281. What is the hundreds digit of (-6)\/21 - (-7 - k\/(-7))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -24389, -1, 0, -4 in ascending order.\nAnswer: -24389, -4, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.419 and -4.\nAnswer: -1.676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 12537 and 1221701397.\nAnswer: 4179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is eighty-eight fifths of a kilometer in meters?\nAnswer: 17600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = z - 1. Calculate a(-14).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10899 is divided by 19 - (-5 - -6)*-6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (2\/10)\/((-6)\/15). Let d = 39 - 42. What is the third biggest value in d, 2, x?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 0*q**2 + 0*q**2 - 72*q - 59*q**4 + 29*q**4 - 298 + 29*q**4 wrt q.\nAnswer: -4*q**3 - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 3111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3848.\nAnswer: 2, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = 3*i - 7*i + 0*i - 2 + 3*i. What is v(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 103 divide 107120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-1714)\/2 - (10 + -6). Let u = i + -479. Round u to the nearest one hundred.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2.252 > -88?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5464128 divided by -764.\nAnswer: -7152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does -3 = -10.93?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -39 - -39. Suppose -c - 2*c + 1335 = u. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s = -296 + 43. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from tfttmflmmttttlttft. Give prob of sequence mtll.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.76 + -0.7552. What is j rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*b - 273 = -1144. Is 69 at most b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -176 + 2805. What is the hundreds digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q = 4*q - 2*q. Which is greater: -1\/47 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - 4 = -c + 4, 2*c = z + 51. List the prime factors of c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*y + 2*y - 20. Suppose 2*p + 46 = y*m + 7*p, -4*m + 3*p = -62. Solve -4*a + 5*h - m = 11, 2*a + 4*h = -6 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = 7*r**4 + 60*r**2 - 23*r - 3. Let c(u) = 6*u**4 + 60*u**2 - 21*u - 2. Let y(v) = -5*c(v) + 4*l(v). Find the second derivative of y(n) wrt n.\nAnswer: -24*n**2 - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21504 = -238*r - 288*r + 36356 for r.\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1602956110.\nAnswer: 2, 5, 7, 1741, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 3 + (0 - -2 - 1). Suppose -8*r + 14988 = y*r. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 1412, 2824, 4236, 5648?\n\"Answer: 1412*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -18 - 97 - -87 - -147\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -286793665837 and -13.\nAnswer: -286793665850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-1*775)\/(8\/(-56)). Suppose 3*j = 3*m + 3255, -5*j + x = 12*m - 16*m. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -f**3\/3 - 35*f**2 - 104*f\/3.\nAnswer: -f*(f + 1)*(f + 104)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -6.4 - -6. Put -2\/9, 2, w in descending order.\nAnswer: 2, -2\/9, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 11 + -11. Suppose 2 + 2 = 4*o. Let p be 2\/(((-2)\/(-5))\/o). Solve -l - 1 + g = c, -p*c = -2*l - 9 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 34466?\nAnswer: 2, 19, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 57.79627g in nanograms?\nAnswer: 57796270000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -13010 + 10?\nAnswer: -13000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2.768 - 5.768. Let v = -3 + 3.1. What is the closest to -1 in r, -0.4, v?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -54 divided by 32?\nAnswer: -27\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) be the second derivative of p**4\/12 + p**3 + 5*p**2\/2 - 5*p. Let h be j(-5). Solve -2*n + 1 = 3*v, 2*n + h*v = 3*v - 17 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.5, 146, -2\/5, 14?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -3 and 218?\nAnswer: -654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1.6 + -0.4. What is the second biggest value in v, 3, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = 4*h - 10. Let i be z(10). Is 30 != i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1162*q - 48993 = 236*q + 57995 - 37538 for q.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:26 AM and 7:08 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -f**3 + 13*f**2 - 11*f - 8. Let o be y(12). Suppose -m + 90 = o*m. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 252548 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve l**5 - 50*l**4 - 395*l**3 - 240*l**2 + 684*l = 0.\nAnswer: -6, -2, 0, 1, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -103\/147430 and -41\/88458?\nAnswer: 442290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -9*s**3 + 339*s**2 - 79*s - 106. What are the prime factors of p(26)?\nAnswer: 2, 3, 5, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 9239 - 5089. Is 12 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/21)\/(19\/(41629\/4)) + (-40)\/240.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -375\/131 or -1055?\nAnswer: -1055","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = 4*k, 2*k - 9 = -f + 4*k. Let w be (-1)\/(-5) + 29\/(-20). Are f and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 26080 and 202240?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -5*q + 195. Let t be p(37). Differentiate 21*d - 20 - 21 - t*d + 8*d**3 - 8*d - 4*d with respect to d.\nAnswer: 24*d**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = j**2 - 40*j + 386. Let l be q(15). Let n(d) = d**3 - 11*d**2 + 4*d - 15. Determine n(l).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**(-4\/17)\/d)\/(d\/(d\/(d\/d**10))))\/(d**(2\/27)\/d**11) assuming d is positive.\nAnswer: d**(8579\/459)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -394*1569.3\nAnswer: -618304.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 3\/37, 1\/2, 2\/13, -7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -6*s. Let h be 13 + -8 + (-6 - (0 - 1)). Let w(c) be the first derivative of h*c + 0*c**2 + 3 + 1\/3*c**3. What is w(d(n))?\nAnswer: 36*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 112 and 8596?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w = -d + 2*w - 8, -28 = -5*d + 3*w. Suppose -15*t - 6 = -21*t. Suppose -t = -2*y + 7. Calculate the least common multiple of d and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -18*g - 164. Suppose y = 6*y - 10. Calculate the least common multiple of i(-10) and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*f**5 + 6*f**4 + 12*f**3 - 24*f**2.\nAnswer: -3*f**2*(f - 2)**2*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -83 (base 12) to base 4\nAnswer: -1203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2\/8 + (-42)\/(-24). Suppose 10*b - 11*b + 332 = q, -q = -r. Is 30 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 6807 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -t**3 + 11*t**2 - 11*t + 12. Let n be m(10). Let u(w) be the third derivative of 0*w**3 + 0 - 1\/12*w**4 + 3*w**n + 0*w. What is u(5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -m**2 - 3*m + 4. Let j(w) be the third derivative of -9*w**2 + 1\/6*w**3 - 1\/60*w**5 + 0*w - 1\/24*w**4 + 0. Calculate i(r) - 3*j(r).\nAnswer: 2*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 4\/(-6)*(-60)\/48. Let p(w) be the second derivative of w**2 + 2*w + 0 - 1\/12*w**4 - l*w**3. Give p(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 3201, 3196, 3179, 3144, 3085, 2996, 2871, 2704?\n\"Answer: -k**3 + 2*k + 3200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 6, l: 2, k: 2, v: 4, r: 1}. Give prob of picking 1 r and 2 s.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in twenty-one quarters of a second?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-53)\/(-21) - (4 + 0). Let p = -11\/7 - j. Put 1\/8, p, 0.3 in decreasing order.\nAnswer: 0.3, 1\/8, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 561 divide 69383358?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -259*o**2 - 14*o + 8. Let i be d(6). Round i to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 284695*s**2 - 2*s + 3003 wrt s?\nAnswer: 569390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 181*y - 154*y - 108 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -s + 8. Let f(p) = -2*p - 18. Let x be f(-11). List the prime factors of i(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 310 and 20728610?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 + -47 - -17 - -16?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:31 AM and 12:44 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.2 and -16.1563.\nAnswer: 3.23126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-5*(-8)\/160)\/((-7)\/(-16)). Let t be (-3 + (-25)\/(-9))*1. Which is the biggest value?  (a) -1\/8  (b) h  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -11*w + 19. Let p be i(2). List the prime factors of ((-206)\/3)\/((-8)\/p + -3).\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 75\/98 and -37\/66?\nAnswer: 3234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/5 in 8, 1\/2, 2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 11*m - 19*m - 3 + 0*m + m**2 - 2*m**2. What is t(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:18 AM and 9:23 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 1171*p + 19. Let q be v(16). Let u = q + -299987\/16. Find the common denominator of 99\/296 and u.\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 - 105080*c + 105023*c - 14 - 14.\nAnswer: -57*c - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 160 + (-31 - (-52 + 32)) + -14 + (3 - 4).\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v + 401 = 4*c, c - 5*v - 94 - 35 = 0. Let z = 179 - c. Suppose 0 = -0*r - 5*r + z. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-34*w + 37*w + 125*w + 65*w + 36*w)*(-11 + 3 - 1).\nAnswer: -2061*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -51\/25319 and -37\/7?\nAnswer: 25319","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Determine d so that -d**3 + 3573*d**2 - 224816*d + 842160 = 0.\nAnswer: 4, 60, 3509","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 0 - 245?\nAnswer: -245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.6 + -3.6. Which is the nearest to -1\/2?  (a) 1  (b) s  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.1 and -5.196.\nAnswer: -0.5196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) be the first derivative of k**3\/3 - 3*k**2\/2 - 2*k - 9. Let c(x) = x + 8. Let r be c(6). Suppose -g + 2 = 2*a - 4, -r = -3*a + g. Give o(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23*n + 441 + 847 = -115*n for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5\/(-45)*15)\/((-10)\/12).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) be the third derivative of -163*c**5\/420 + 41*c**4\/42 - c**3\/42 - 1295*c**2. Factor a(s).\nAnswer: -(s - 1)*(163*s - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 62855 + 0.3\nAnswer: 62855.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 3\/2 - 0 - (-5)\/2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 54*c - 21*c - 24*c.\nAnswer: 9*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1202022200210 (base 3) to base 7.\nAnswer: -10626366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 103*b**4 + 84*b**2*c**3 + 2*c**3 - 420*c**2 - c wrt b?\nAnswer: 412*b**3 + 168*b*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 3\/5 of a hour?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 113169\/(-317)*10\/90*-3?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -1057475, -1057515, -1057557, -1057601, -1057647, -1057695, -1057745?\n\"Answer: -n**2 - 37*n - 1057437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8\/((-64)\/(-4))*8*1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 82*p**4*s - 12751*p**3 + 11907*p**2*s + p*s - 46*s + 4 wrt p.\nAnswer: 1968*p*s - 76506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2406 + -1480. Suppose -16*z - d = -158. Does 37 divide 6\/(-16) - 14226\/z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -384240 + 384242. Factor -1\/2*d**4 + 11*d + 4*d**3 - 21\/2*d**k - 4.\nAnswer: -(d - 4)*(d - 2)*(d - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 2*v - 1. Let y(a) be the second derivative of a**4\/12 - 5*a**3\/6 - 2*a**2 + 6*a. Let t be y(6). Determine n(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 196574?\nAnswer: 2, 7, 19, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -3  (b) -0.1  (c) 2  (d) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2 + -87?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 103 - 387313241*w**3 - 103 + 387313236*w**3.\nAnswer: -5*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3\/5?  (a) -29\/10  (b) -5  (c) -1  (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = d**2 - 135*d + 4225. Let o(j) = -j**2 + 136*j - 4225. Let r = 514 - 520. Let l(t) = r*m(t) - 5*o(t). Solve l(x) = 0 for x.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.86871 to 3 dps.\nAnswer: 0.869","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 10 = 6*l. Let z be (-1)\/l + (-6)\/(-12). Let f be z*-2 + (80 - -2). What is the highest common factor of f and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 2 + 6)*(35*l + 428*l - 53*l).\nAnswer: 820*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 31513 (base 13) in base 9?\nAnswer: 144651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -103.43 * 12.\nAnswer: -1241.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 56 and (-546)\/(-45) - 4\/30?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-441)\/18)\/(50\/(-25500)). Calculate the greatest common divisor of 510 and p.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 23755\/20 - (-4)\/16. Suppose j = 2*z + 5*s + 254, -z - 3*s + 467 = 0. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(2 + -4*(((sqrt(42) - sqrt(42)*-1)\/sqrt(7))\/(sqrt(12)*1))**2 + 1 + 5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p = 2*i - i + 4, 4*p + 2*i = 16. Let t = p - -6. Solve j + t = 3*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = 4*t - 1009. Let z(r) = r**2 - 174. Calculate c(z(k)).\nAnswer: 4*k**2 - 1705","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -69 = 16*o - 3237. Calculate the lowest common multiple of 1188 and o.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 935165 is divided by 187030?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 333 and 2562179589.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -17 - -10. Let g be (7 - (0 + 3)) + b. Does 20 divide g\/(-15) - 398\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-1)*c)\/(c\/(c*c**(5\/6)))*c**(3\/7)*c**(1\/7) assuming c is positive.\nAnswer: c**(59\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 320 and 512.\nAnswer: 2560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = 124*z**2 + 309*z - 28. What is the units digit of n(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 8263 - 8127. Is w a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1279, 1680, 2081, 2482?\nAnswer: 2883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -2159874211.9 minus -3027?\nAnswer: -2159871184.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -6*s - 320 + 642 - 328. Calculate t(-5).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 - (-1 - (4 - 6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 28189 + 8265?\nAnswer: 36454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 367 divide 1696274?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = u**2 - 14*u + 4. Give i(14).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -s**2 - 314*s - 23498. Calculate z(-191).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*c + b - 456, b + 0*b = 4. Calculate the remainder when c is divided by 57.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w + 4*h + 0*h + 28 = 0, w = 2*h + 6. Let q be ((-72)\/90)\/(w\/10). Solve -1 = -q*y - 5 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -w**2 + 8*w - 20. Give l(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15470*n - 256 + 973 = -15263*n - 2802 for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2 - -6. Let d(x) = x**2 - 3*x - 9. Let w be d(z). Calculate the common denominator of 266\/(-20) - 4\/w and -16\/11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -367 - -364. What is the nearest to -0.1 in 4, 4\/5, p?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*g + 11*g = 0. Suppose g = -c - c. Solve -4*l - 9 + 1 = c for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 divided by 23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) be the third derivative of t**5\/2 - 17*t**3\/3 + 3*t**2. Find the first derivative of a(h) wrt h.\nAnswer: 60*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 35377763 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 2724 - 2214?\nAnswer: 510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -59073 divided by 111?\nAnswer: -19691\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.463137 to one decimal place.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -110*w**3 + 9*w**2 - 5*w. Let l(z) = 110*z**3 - 9*z**2 + 4*z. Determine -5*l(v) - 4*q(v).\nAnswer: -110*v**3 + 9*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 26531.\nAnswer: 43, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 111362?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(2\/13)\/a**(2\/55)*(a**2)**(-2\/121))**14 assuming a is positive.\nAnswer: a**(9296\/7865)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) be the third derivative of -r**5\/60 - r**4\/3 + r**3 + 1139*r**2. Let s(x) = -x**3 + 3*x**2 - x - 4. Let p be s(3). Determine n(p).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2854208667.\nAnswer: 3, 23, 41365343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is cf - 83?\nAnswer: 4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*g\/g**(-2\/5)*g\/(g\/g**(-3))*(g**(1\/2))**(-44))**(1\/47) assuming g is positive.\nAnswer: g**(-113\/235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 197, -121, -865, -2209, -4327, -7393, -11581, -17065?\n\"Answer: -29*z**3 - 39*z**2 + 2*z + 263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z = -2*z. Suppose 2*y = 7 - 9. Let a be 8\/5 + (y - z). Which is bigger: a or 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*t + 4764 = -18*t. Let k = t - -399. Solve 0 = 5*w + q - k*q + 26, -3*w - 2*q - 13 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 10  (b) 0  (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 530 = -0*f + 5*f. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -z**3 + 12*z**2 - z + 15. Let x be g(12). Let k(q) = -11*q**2 + 5*q + 1. Let l(r) = -4*r**2 + 2*r. Determine x*k(f) - 8*l(f).\nAnswer: -f**2 - f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 410\/(0\/(-4) - (-4)\/6). Let z = g + -258. List the prime factors of z.\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xoxxooo. What is prob of sequence xoo?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -2122243023 (base 5) in base 8?\nAnswer: -21110311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:24 PM and 3:44 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-s + 0*s - 2*s)*(-392*s**3 + 443*s**3 + 605*s**3).\nAnswer: -1968*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10316414?\nAnswer: 2, 37, 109, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*f - 10 + 35. Suppose 2*v - s - 386 = 0, -f*s - 366 = -2*v + 12. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ppu when three letters picked without replacement from ppppppupu?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 650859.\nAnswer: 3, 11, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 37602586 - 75205198 + w**3 + 37602612.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 977831, 977829, 977827, 977825, 977823, 977821?\nAnswer: 977819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -2 + -27a2?\nAnswer: -27a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21 + 42*v + 13 - 52 + 18.\nAnswer: 42*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) be the first derivative of -6 + 5*q + 1\/3*q**3 - 3*q**2. What is o(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1304 - -1304.5. What is the closest to s in -4, 0, -11\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -3*b**2 + 40*b + 43. Give v(12).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = o - 8. Let y be x(-9). Let i = -12 - y. What is the remainder when 16 is divided by i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3 + 7. Let k be (f\/18)\/(8\/6). Is -1 < k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-9)\/(-2) - (-14)\/(-28). What is the first derivative of 6 - 2*x**3 + x**3 + j*x**3 wrt x?\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is four fifteenths of a minute in milliseconds?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) be the first derivative of -o**4\/4 + 10*o**3\/3 + 13*o**2\/2 - 15*o + 6. Let p be d(11). Which is smaller: 6 or p?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -51 - -48.41. What is h rounded to 0 dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 - 7 = 13*p. Suppose -9 = 5*u + 21. List the prime factors of ((-2)\/u)\/(p\/(-24)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = 392*l - 204. Let b be x(-6). Let c be ((1 - 2) + 2)*5. Does 6 divide (2\/c)\/(b\/(-510) + -5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 123?  (a) -8  (b) 2  (c) 0.2  (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -26.2 - -26.6. Which is the second biggest value?  (a) -0.6  (b) 5  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13062*t - 2889 = -12874*t - 2347 - 7122 for t.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -435 + 437. Find the third derivative of -6*d + 5*d + 18*d**4 - 5*d**5 + d + 91*d**z wrt d.\nAnswer: -300*d**2 + 432*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.02  (b) -0.59  (c) 5  (d) -8  (e) -0.3  (f) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 243 - -28. Let o = -277.3 + d. What is o rounded to 0 dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 666783 is divided by 333358?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11134 is divided by 150?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1453039 (base 13) to base 5.\nAnswer: 3123231200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 312515?\nAnswer: 5, 7, 8929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*w + 0*w + 744466*w**2.\nAnswer: 744466*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 338987052 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = o**3 + 4*o**2 - 3*o + 7. Let w be h(-5). Let i(v) = -20*v**3 + 7*v**3 + 5 + 2*v + 11*v**3. Is i(w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 61835969029 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(3\/2))**(-12\/13)*(((u*u\/(u**(-3)*u))\/u)\/u)**(-34) assuming u is positive.\nAnswer: u**(-902\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -14 divided by 1?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*w + w - 5*w)*(-7 + 2 + 3 - 3*w)*(6*w + 20*w - 5*w).\nAnswer: -126*w**3 - 84*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -b. Let i(t) = -208*t**2. Determine o(i(c)).\nAnswer: 208*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3\/4 in -1\/2, 4.3, 1, -17?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/3 in -3\/5, -4, 6?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 12820142?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12389546.\nAnswer: 2, 13, 113, 4217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide 74041 by -11.\nAnswer: -6731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-1)\/(-2)*(-4)\/2. Calculate the remainder when z*(-32)\/12*3 is divided by (-1)\/((-2)\/10*1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 366491 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -2*z**3 + 2*z**2 - 7*z + 15. Let t be u(2). Is 0\/2 + ((-1526)\/t - 5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 4071\/(-3036) + 10\/(-8) + 1 and -59\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -450 * 0.11\nAnswer: -49.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -120*p + 178*p - 103356 = 456*p + 646*p for p.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 873 bigger than -2511?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1211 - -5?\nAnswer: 1216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 3\/5 of a century?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 19 + 3 + 10 - 3436*d - 29 in the form k*d + j and give k.\nAnswer: -3436","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 772 and 50373?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d*d**(-2)*d**(-4\/3)*d*d*d*d*(d**4\/d)\/(d*d\/((d*d**0)\/d)) assuming d is positive.\nAnswer: d**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**(1\/3)\/(k**(-1)\/k) assuming k is positive.\nAnswer: k**(7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10676807 is divided by 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -30 + 32. Suppose 0 = 5*s - 9*w + 4*w - 5, -3*s - 3*w + 15 = 0. Find the third derivative of 3*c**3 + c**2 + s*c**2 - 2*c**3 - 2*c**t wrt c.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 149 + -210.1. Let d = -2.1 + -58.9. Let p = r - d. Which is the closest to p?  (a) 1\/7  (b) 0.2  (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = j - 11 + 15, -4*q + 20 = -5*j for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.099949324 to 2 decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 10424 + -6624. What is the tens digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine n so that 9\/2*n**3 - 11\/2*n - 1 - 6*n**2 = 0.\nAnswer: -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-j + 5*j + 4*j)*(3 - 4 + 0) + (0 - 1 - 1)*(j - j - j) - j - 1 + 1 - j + 4*j - 2*j - 3*j + 0*j + 2*j + 3*j - 3*j + j.\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 568\/45 + -62\/5. Let j be 9\/(-20) + 1\/4. Let g = 205.85 - 205.9. Which is the closest to g?  (a) -0.3  (b) j  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**(2\/7))**24\/(u**(-2\/3))**(-3\/16))**(-4\/19) assuming u is positive.\nAnswer: u**(-377\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) be the second derivative of l**4 - 10*l. Let f(u) = u**2. Calculate g(f(b)).\nAnswer: 12*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3917779.\nAnswer: 47, 83357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 72 + -69.4. Let k = t + -3.6. Suppose 4*q - 2*d + 18 = 0, -28 = 5*q + 3*d - 0*d. What is the nearest to k in 2\/13, q, 1\/3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wiwwzizzzwwwfwrzwzi. Give prob of picking 1 w and 2 z.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 126*h**2 - 2*h - 1. Let l(f) = -f**2 - 5*f + 5. Let w be l(-5). Suppose -3*z - 5*r + 4 = -2*z, 5*z = -w*r. Is x(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -2*c - 15. Suppose 2*l - 20 = y - l, 5*y + 2*l = -32. Let u be v(y). List the prime factors of (-10 - u)\/(1\/(-4)).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -11 - (36 - (-27 + 57) - (1 - -14))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.5787, -0.6, -3, 3 in ascending order.\nAnswer: -3, -0.6, -0.5787, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 30 + 7*w + 7*w - 23*w - 30.\nAnswer: -9*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 809400 and 9690.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 p, 1 d, and 1 m when four letters picked without replacement from {p: 4, x: 2, k: 1, m: 2, d: 5}?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + (-1*sqrt(288) - sqrt(288)) - sqrt(288))**2.\nAnswer: 360*sqrt(2) + 2617","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 468983 is divided by 335.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1, 1\/4, 3, 2\/3, -9\/62?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 12530 divide 2473397988?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f = -7*f + 2*j + 46, -121 = -5*f + 3*j. Suppose -3*l - 3 = 3*h, 0 = -8*l + 4*l + 2*h + f. Solve -7*u + 3*u = -16, l*r - u = -12 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*x - 3 - 13. Solve -h = h - x for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 61?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 184 minutes after 11:40 AM?\nAnswer: 2:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -11*f**2 - 27*f + 36. Let z(q) = -7*q**2 - 18*q + 24. Let h(m) = -5*i(m) + 8*z(m). Let u be h(-10). Solve -u = -y - y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -b (base 16) to base 11.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 90 + 2*m - 90 + 3*m - 1 + 1 + (-2*m + 0*m + 0*m)*(-3 - 2 + 4).\nAnswer: 7*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = x**2 - 3*x - 13. Calculate h(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -3*r + 9. Find the second derivative of -11*j - 44*j**4 - 6*j + 58*j**r wrt j.\nAnswer: 168*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zuw when three letters picked without replacement from uzwwpuuwuwpwwwwuwp?\nAnswer: 5\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 3*u - 2 + 2)*(-452*u**2 + 19*u**4 + 452*u**2).\nAnswer: -57*u**5 + 38*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -d**3 - 10*d**2 + 9*d + 9. Let f be u(-10). Let s = f + 84. Calculate the greatest common factor of 5 and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 419 + 323 = -14*s. Let t = s - -59. Let v(z) = -z**3 + 6*z**2 - z + 2. What is v(t)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 2, z: 1, o: 1, d: 1}. What is prob of picking 1 d and 1 z?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3 times 271.45092?\nAnswer: 81.435276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6343959?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = 12*p - 45. Let u be a(4). Suppose -z - 3*j = -4*z - u, 21 = 3*z + 5*j. Solve 2*q = -0 + z for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*p - 130 = 120 - 174 for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -829, -1662, -2499, -3340, -4185, -5034?\n\"Answer: -2*j**2 - 827*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 78 + -77.9999979. Round a to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 539888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 1, e: 2, d: 1, w: 1, j: 4}. What is prob of picking 1 d, 1 j, 1 e, and 1 w?\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 1817.9 minus -2?\nAnswer: 1819.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 12829 + -20154. Sort -4, 0.4, 1, q in descending order.\nAnswer: 1, 0.4, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 plus -0.0153?\nAnswer: 12.9847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = 2 - 1 - k**2 + 2 - 11*k + 0. Let u be b(-11). Suppose 0 = u*q - 2*y - 105, 3*y = 5*q - 88 - 86. What is the highest common divisor of q and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 1 m when two letters picked without replacement from {m: 1, l: 1, x: 4, t: 4}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v = c + 193, -2*v = -3*c - 33 - 91. Let d = v - -4. Calculate the remainder when d is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = 3*f**2 - 5*f - 5. Let r(k) = 3 - 2*k**2 + 25*k - 7*k - 7*k - 8*k. Let g(s) = -5*r(s) - 3*w(s). Let h(u) = 2*u. Give h(g(y)).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 145*v**5 + v**4 + 174*v**3 - 668925*v**2 wrt v?\nAnswer: 8700*v**2 + 24*v + 1044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 1484.4 from -3000398.\nAnswer: -3001882.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6912?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 + 1 = o, 0 = 2*p - 2*o - 6. Let m(v) = 3 + v + 3*v**2 - 3*v**2 + 2*v**p. What is the remainder when m(4) is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 234, 1626, 5320, 12468, 24222, 41734, 66156?\n\"Answer: 192*k**3 - k**2 + 51*k - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 742830 by 148566.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -3\/10, 5\/3, 21, 0.5?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 8*c + 0 - 3 - 4 + 1. Let k(s) = -7*s + 5. Let t(m) = -5*j(m) - 6*k(m). Let v(o) be the third derivative of -o**5\/10 + o**2. What is v(t(a))?\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 52900985 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*i**2*l**3 + 3257*i**2*l**2 - i**2 - 119*i*l**3 + 20*i wrt i?\nAnswer: -4*l**3 + 6514*l**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -t**2 + 7*t + 4. Let w be b(7). Let q(l) = 4*l**2 + 24*l + 0*l**3 - l**3 + 2 - 14*l - 12*l. What is q(w)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00389 rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -9*f**2 + 2*f. Let l(u) = 279*u**2 - 63*u. Suppose 0 = 27*d + 34*d + 122. What is d*l(n) - 63*v(n)?\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) be the third derivative of 4*q**2 - 1\/112*q**8 + 1\/35*q**7 + 0*q - 1\/10*q**5 + 0 + 0*q**3 + 1\/8*q**4 + 0*q**6. Let a(c) = 0. What is c?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) be the third derivative of 0 + 0*p**4 + 0*p**3 - 13*p**2 + 0*p - 1\/30*p**5. Let t(g) = -3*g. Give h(t(l)).\nAnswer: -18*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -31199\/35730 - -7\/397. Which is smaller: j or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) be the second derivative of 4*z**3 - 189*z**2\/2 - 36*z - 7. What is y(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/16, 0.06, -407, 5 in increasing order.\nAnswer: -407, -1\/16, 0.06, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -13 times 2022?\nAnswer: -26286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 0*x - 7 + 1573*x**2 - 792*x**2 + 9 - 3*x wrt x.\nAnswer: 1562","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -5, -1, -3 in descending order.\nAnswer: 1, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-seven halves of a meter in centimeters?\nAnswer: 2850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:06 PM and 5:05 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 130 minutes after 10:03 AM?\nAnswer: 12:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(1\/15)\/l**11)**(-2\/7)\/(l**2\/l**(-2\/41))**(9\/2) assuming l is positive.\nAnswer: l**(-26242\/4305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4424 and 20619?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -75 divided by 5?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4?  (a) 5  (b) 3\/4  (c) 1.09209\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 1, m: 2, k: 1, z: 1}. What is prob of picking 1 k and 2 m?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 n and 1 c when three letters picked without replacement from cuncsn?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) be the third derivative of -31 + 0*n + 1\/60*n**6 + 2*n**2 + 13\/30*n**5 + 0*n**4 - 33\/2*n**3. Differentiate t(f) with respect to f.\nAnswer: 6*f**2 + 52*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-28)\/42)\/(1\/(-9))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -j**2 - 15*j - 17. What is h(-14)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (2 + 0)*1662*28\/48.\nAnswer: 7, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2404  (b) -0.3  (c) 1  (d) -33\/8  (e) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or -1\/835619?\nAnswer: -1\/835619","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-12)\/((-9)\/(-3)))\/46)\/(-1).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -130 + 135. Let l = 57 + -62. Let s be (-3)\/2*(l + (-114)\/(-18)). Sort s, -7, 4, y in ascending order.\nAnswer: -7, s, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 43949, 88013, 132303, 176933, 222017?\nAnswer: 267669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 20022 (base 6) to base 9.\nAnswer: 3515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -99.672 + 0.218.\nAnswer: -99.454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = 8 - 5*f + 2*f + 0*f - 6 - 1 + 4*f. Let v(q) = 2*q + 0 - 6*q - 3. Determine 2*s(w) + v(w).\nAnswer: -2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -482*c**2 - 482*c**2 + 1463*c**2 - 487*c**2.\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 4*w - 2*l, -5*w - l = -3*l - 6. Let p be w - ((4 - 8) + 3). Let i(o) = 7*o**3 - o. What is i(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x = -0*x. Suppose x = 4*s - 9 - 3. Factor -1\/4*d + 1\/4*d**s + 1\/4*d**4 - 1\/4*d**2 + 0.\nAnswer: d*(d - 1)*(d + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 157, 165, 163, 151?\n\"Answer: -5*q**2 + 23*q + 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 179, 0, 0.4, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -179*y**2 + 98*y**2 + 100*y**2.\nAnswer: 19*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4447, 4446, 4445, 4444?\nAnswer: 4443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -1614*f**2. Let n(k) = -6*k. What is c(n(b))?\nAnswer: -58104*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -502, -1989, -4464, -7927?\nAnswer: -12378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3933 is divided by 48.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2397198*g**3 + 2569355?\nAnswer: 7191594*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -6\/11  (b) -220  (c) 1\/4  (d) 69  (e) -0.02\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 11.5 - -0.5. Let v = p + -11.7. Sort -2\/15, v, -4 in increasing order.\nAnswer: -4, -2\/15, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (((-1053)\/338)\/(-27))\/((-84945)\/(-28)). Is -1 greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -w**4 - w**2 + 1. Let y(h) = 13*h**5 - 3*h**4 - 4*h**2 + 2*h - 5. Let a(r) = -4*t(r) + y(r). What is the second derivative of a(b) wrt b?\nAnswer: 260*b**3 + 12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + 159 = 2*u - 235, 2*r = -4*u + 772. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*m + 0*m + 2*m)*(12*m + 0*m - 6*m).\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 19 + -31. Let z be 32\/g*(-3)\/2. Suppose 15 = z*c + t, 0 = 2*c - t + 4*t + 5. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j - 84 = j. Let t be 1\/6 + 654\/(-36). Let a = t + 23. Solve -a*r = -j - 4 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*n**3 + 3 + n**4 - 5 + n**2 + 0 - 2*n**4 in the form p*n + w*n**2 + k*n**4 + q + z*n**3 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 2614967447 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -14945880.48000274 + 14946013.48. Let j = 133.237 + -0.237. Let h = d - j. Round h to 7 decimal places.\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (0 + -3)*(-24)\/54. What is the nearest to 1\/7 in 6, -0.5, d, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -u**2 + 19*u + 44. Let q be d(21). Suppose q*m - 20 = 5*y - 0*y, -2*y = -4*m + 72. What is m rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (1252\/(-6))\/((-4)\/(-17454)). Let o = z + 1310517. Round o to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 1621, 6534, 14745, 26260, 41085, 59226, 80689, 105480?\n\"Answer: i**3 + 1643*i**2 - 23*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 660 + -170. What is b rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1669 - -2800. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = k**2 - 6*k - 5. Let n be m(7). Suppose 2*y + n = -0*y. Let d = y + 0. Which is the biggest value?  (a) 2  (b) -2\/7  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1354 (base 6) to base 8\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -17*g + 18. Let n(v) = 9*v - 9. Let j(r) = 7*n(r) + 4*o(r). Find the first derivative of j(t) wrt t.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.2 and 20378?\nAnswer: -4075.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 1\/91646 and 17\/6.\nAnswer: 274938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -17*f + 12. Is r(-13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is i in -44*i**2 - 48172272*i - 17517184 = 0?\nAnswer: -1094824, -4\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 24\/19, -4, -0.1, 1\/19?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11123423111 (base 5) to base 11.\nAnswer: 6a5a221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 5*a**2*r*s*z - 673*a**2*s*z**2 + a**2*s - 3*a**2*z**3 - 2*a*r*s*z**3 - 105*r*z**3 wrt z?\nAnswer: -18*a**2 - 12*a*r*s - 630*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 58 divided by -5?\nAnswer: -58\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -3.3 and 0.2.\nAnswer: -0.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -3536, -7021, -10506, -13991, -17476?\n\"Answer: -3485*l - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/(-2)*7\/(7\/11)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 62765138?\nAnswer: 2, 997, 31477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5418*k + 2 + 5416*k + 8.\nAnswer: -2*k + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4 = -4*x - o + 9*o, -128*x - 34 - 82 = -8*x - 4*o for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 2*i + 5 - 5.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 12105017 a multiple of 287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j + 3334 = 914. Suppose 5*w = -4*t + 700, 5*t - j - 391 = 2*w. Calculate the greatest common factor of 7 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 166398737 to the nearest integer?\nAnswer: 12900","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 32\/11 - 309\/110. Let v(x) be the second derivative of 1\/12*x**4 + 0 + 1\/6*x**3 - q*x**5 - x + 0*x**2. Determine p, given that v(p) = 0.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4107, 8215, 12323, 16431, 20539?\nAnswer: 24647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does -65654 = -1\/2052?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1121?\nAnswer: 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -107\/24 and 155\/588.\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 414852718 divided by -453887\nAnswer: -914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -w**2 - 8*w - 5. Let s be u(-6). Suppose -2*d = -3*p - 99, -2*d - 5*p + s*p + 104 = 0. Suppose -5*i = -383 - d. Is 7 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1229 times 0.2?\nAnswer: -245.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 6*p**2 - 36*p - 7. Let o = 49 - 42. Let b be t(o). Suppose -b*x = -28*x - 1008. Calculate the greatest common divisor of x and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-2)\/(-7) + 60\/84)*6. Solve -b = 2*j - f, 0 - 8 = -4*f for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 698*-1.07\nAnswer: -746.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -35*b. Suppose -35 - 1 = -4*p. Let v(q) = p*q - 10*q + 4*q. Determine v(t(u)).\nAnswer: -105*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) be the first derivative of -f**4\/2 + f**3 + 9*f**2\/2 - 30*f - 20. Let a be k(10). What is a rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 853 = 230*z - 1217 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**6*m\/m**3)\/((m\/(m**6\/m))\/m**(4\/9)) assuming m is positive.\nAnswer: m**(76\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -l**3 + 8*l**2 - 9*l - 5. Calculate c(7).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 75890546?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33*a + 216694 + 53180 = 0. Is 73 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.04  (b) -7  (c) 144\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -118*y + 4371*y = -717*y - 2969*y + 309621 for y.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 451098 and 58140?\nAnswer: 76686660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -30 - -24. Let y(w) = -6*w + 6. Let j be y(q). Calculate the greatest common factor of j and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f + 3*j = -1 + 11, 3*j = f + 4. Let o(w) = -w**3 + 2*w**2 - w + 1. Determine o(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + ((sqrt(3) - (0 + sqrt(3))) + -2 - sqrt(6)\/(sqrt(10)\/sqrt(5))).\nAnswer: -sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -22*o**3 + o**2 + 5*o - 1. Let v be x(3). Let y = v + 1250. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 >= -6\/59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 360398?\nAnswer: 2, 79, 2281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2\/11, 0.089, -23, 1.9, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*q - 42*q = -57720. List the prime factors of q.\nAnswer: 5, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 20.7 - 16.7. Let n = 1081 + -1071. Is t at most n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:26 AM and 4:19 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -84 - -81. Which is the nearest to 22?  (a) -2  (b) -0.2  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -13401343\/15 + 893759. Let i = t - 336. Factor 4\/15*s - 2\/15*s**2 + 0 + i*s**4 - 4\/15*s**3.\nAnswer: 2*s*(s - 2)*(s - 1)*(s + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 448151?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*p**2 - 28*p**2 + 7*p**2.\nAnswer: -16*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.65 + -0.6501202. Round h to 5 dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*m - 2*m + 0*m)*(-5 + 2 + 2)*(-53 - 11*m + 53).\nAnswer: 11*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n - 6 = -2*b, 2*n = b + 2 - 1. Solve -s + 0 = -n for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - 2 - (-6)\/(12\/(-2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = 1546*q - 75683. Calculate o(49).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -4 + -110300?\nAnswer: -110304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 109*f**2 - 23*f + 40*f - 17*f.\nAnswer: 109*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2 + -3. Let s be (3 + -2)*(-1)\/3. Let i = 3.46 + -2.96. What is the closest to w in -4\/7, s, i?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1620?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4)\/(8\/6)*(-6)\/(-72).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*v = 51*t - 48*t + 27, 3*t = -3*v - 24 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -87616, -350450, -788506, -1401784, -2190284?\nAnswer: -3154006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m - 28 = -20. Differentiate -10 - 5 + 3 + 45*l**m - 16 with respect to l.\nAnswer: 180*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -7430 - -7430. Solve 0 = 6*n - l*n + 3*u, -4*n - 14 = -5*u for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 28 + -26. Suppose -g*f - 18 = -6. Suppose 4*v - 3 = -3*l, 4*l - 4 = 8*v - 4*v. Sort 1, f, v, -2.\nAnswer: f, -2, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve h**3 - 62*h**2 - 127*h - 64 = 0.\nAnswer: -1, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(sqrt(3) + (sqrt(3)*-2)**2*6 + 1).\nAnswer: -73 - sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 12 and 81948?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -69*k - 25*k - 27*k + 4*k - 2*k - 3*k + 0*k + 0*k + k + 3 + k - 3 + (-1 + 1 - k)*(0 + 0 + 1) - 3*k + 3*k + 2*k.\nAnswer: -119*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = g**3 + 12*g**2 + 13*g + 31. Let x be t(-11). Let l(r) = -r**2 - 15*r - 8. Let s be l(-13). Calculate the highest common divisor of x and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 126126?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -33 - (-40 + 12) - -40?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -395, -416, -435, -452?\n\"Answer: c**2 - 24*c - 372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 5 - 12e44?\nAnswer: -12e3e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*q - 5*q - 22. Let o be (-6)\/33 - (-35)\/q. What is the units digit of (105\/20)\/(o\/28)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 25 divide 392835?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 399483, 397867, 395175, 391407, 386563?\nAnswer: 380643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -10613811 - -6129811. Round u to the nearest 100000.\nAnswer: -4500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -644*p**2 + 1288*p**2 - 643*p**2.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*m + 33 = -a + 36, 12 = 4*a - m for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.14, -2\/7, -2, 13, 6.\nAnswer: -2, -2\/7, -0.14, 6, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = b**3 + 6*b**2 - b - 6. Let i be w(-7). Let n be i\/(-28) - 4\/(-14). Solve 0 + 2 = -n*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/(-2)*(-56)\/(-1260)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*w + 23*w = 0. Suppose 4*z - 10 = 3*j, z - 3*z + j + 6 = w. Suppose 3*u - 14 = -u - 3*y, 6 = 3*y. Solve -u*i = -z*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = a**2 + 10*a - 6. Let l be q(-11). Let i(y) = -y + l + 16 - 378*y**3 + 379*y**3. Determine i(0).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -229*h + 116*h + 115*h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand -113*d**3 + 51*d**4 + 113*d**3 + (11 + 8*d + 3*d - 9)*(3*d**3 - 3*d**3 - 2*d**3).\nAnswer: 29*d**4 - 4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 283 is divided by 41?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s + 63 + 1 = 0. Let j be 2\/(((-4)\/(s\/2))\/(-1)). What is the least common multiple of 8 and 31\/j + (-8)\/(-32)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 43 = 4*w - 9. Let y = -10 + w. Suppose y*s + 2*s = 5. Put 0, s, 3 in increasing order.\nAnswer: 0, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4)\/4*-6*(-6)\/9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -144 (base 8) to base 2.\nAnswer: -1100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3 - 182524*p**2 - 12*p**4 + 182532*p**2 - 3*p**3 + 3 to l*p**2 + c*p**3 + f + d*p**4 + s*p and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor 9*r**3 + 69*r**2 - 30*r - 48.\nAnswer: 3*(r - 1)*(r + 8)*(3*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 229604720712 + 180*w**3 - 229604720712.\nAnswer: 180*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 16*g**4 - 43647*g**2 + 6354205*g?\nAnswer: 192*g**2 - 87294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 2, n: 2, h: 2}. Give prob of picking 2 n.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -4.3 + 66.3. Let y = -9603.114 + 9541.11399. Let d = t + y. What is d rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = t**2 + 161*t + 1214. What is v(-8)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 239*n**2 - 1 - 6*n**3 + 4 - 237*n**2 - n**4 to f + h*n**2 + u*n**3 + i*n + v*n**4 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 41 + 65. Let c = l + -317\/3. Let t = 48 + -48.1. Sort t, c, -0.03, 4 in decreasing order.\nAnswer: 4, c, -0.03, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9 + 9 - 8*u + 5 + 26*u.\nAnswer: 18*u + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4273, -8547, -12821, -17095?\nAnswer: -21369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a = -0*a - 54. Let b(d) = -d**3 - 19*d**2 - 17*d + 22. Let w be b(a). Let q be -160*(w - (3 + -6)). What is q rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = 11*o**2 - 50*o + 65. Let c(b) = -4*b**2 + 17*b - 22. Let n(h) = -8*c(h) - 3*p(h). Calculate the remainder when 50 is divided by n(5).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -13803553 and 0.6964.\nAnswer: -13803552.3036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 1 - 15757688?\nAnswer: -15757687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) be the third derivative of -v**8\/1176 - v**7\/147 - v**6\/70 + 2*v**5\/105 + 2*v**4\/21 + 2*v**2 - 15*v. Let s(r) = 0. What is r?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c = -2*o + 1444, 2*o - 2880 = -2*o - 2*c. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -b**3 + 5. Let t(f) = -f. Let i(x) = -4*x - 1. Let r(m) = 2*i(m) - 7*t(m). Let w be r(4). Let n(q) = q**3 - 7 + 5 - 4. Determine w*s(a) - 5*n(a).\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 406 = 4*c + 2*p, -3*c + 74 + 217 = -3*p. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - 1101 - 5678 = -4*g, 7 = -7*n. Does 4 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 984 and 76137.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1\/4  (b) 0.5  (c) -0.3  (d) 88  (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -10*n + 25. Let m(u) = -8 - 18 + 1 + 11*u. Let v(b) = 2*m(b) + 3*r(b). Differentiate v(y) with respect to y.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + (-8 - -13 - 5 - -6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 388 minutes before 11:49 AM?\nAnswer: 5:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 4*z - 7. Give y(-4).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 9\/((-108)\/(-184))*(-7)\/((-42)\/333) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 459 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) be the third derivative of -5\/24*d**4 + 0*d**3 + 0*d + 12*d**2 + 0 - 1\/60*d**5. Calculate f(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.12 + 10.88. Suppose 0 = -1170*j - 9*j + 1762 + 262 + 1513. Which is the fourth biggest value?  (a) p  (b) j  (c) -8  (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (21*1\/3*(-8)\/12)\/((-6)\/2).\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -1, 2\/15, 4\/7, -14, 1.8?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -p - 15. Let h be t(-21). Let k be (4\/3)\/(7\/(189\/h)). Solve k + 4 = -5*i, -l + 4*i = -11 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2 - -4. Let w(s) = s - 2*s**3 + 0*s - 2*s + s**3 - 2 + 8*s**m. Is w(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*t + 0*t - 174947 = -11*t. What is the thousands digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = 846*p**2 - 135*p + 140. Calculate m(1).\nAnswer: 851","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -b**3 + 8*b**2 - 3*b - 35. Give w(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 173440\/(-13056) + (-21)\/(-18) - -12.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = t**2 - t - 1. Let s(j) = -40*j**2 + 44*j + 44. Suppose 13 = -6*a + 31. Suppose a*h = -5*u - 22, -14 = -2*u + 3*h - 6. Give u*s(m) - 88*k(m).\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*n = -184322 + 532712. What are the prime factors of 2\/(-6) + n\/45?\nAnswer: 2, 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:37 AM and 11:19 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(3900)*1 + (sqrt(39) - (sqrt(39) + sqrt(624)))*2)\/(2*(sqrt(192) - sqrt(192)*-2)).\nAnswer: sqrt(13)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + -5 + 1 + (7 - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5, 20, 47, 92, 161, 260, 395?\nAnswer: 572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -4*b**2 + 8*b + 26. Let j(y) = -2*y**2 + 6*y + 24. Give 3*j(h) - 2*s(h).\nAnswer: 2*h**2 + 2*h + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -k**3 + 9*k**2 - 5*k + 1. Let i be 0 + 11 - (1 - -3 - 0). What is the units digit of b(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000006783 rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 140521 - 221233?\nAnswer: -40312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from opppcxvxohppxvovcxp. What is prob of sequence cvv?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 less than or equal to 101?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g = -13*g + 2520. Calculate the highest common factor of 35 and g.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 5*m - 79. Calculate w(18).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0*(-1)\/5*1\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = 96*n**2 - 9*n - 9. Let z be g(-1). Suppose -5*k + z = 2*b + 37, -2*b - 2*k + 68 = 0. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + -7 + 1 + (10 - 7) - -25.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2\/(-7) - (-58)\/56. Let n be (1 + -2 + 1)*2\/6. Let p = -30.4 + 28.4. Which is the second smallest value?  (a) n  (b) p  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + 0*v + 4*v = 18, -5*h - 3*v = -17. Let y be (h\/1)\/(10\/400*8). Put y, 3, -8 in ascending order.\nAnswer: -8, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 98949 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 106, 111, 114, 115?\n\"Answer: -r**2 + 8*r + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 543 minutes before 4:53 PM?\nAnswer: 7:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/16 of a century in months?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -161*g**2 + 31*g + 10. Let u(t) = 349*t**2 - 61*t - 23. Give 13*b(w) + 6*u(w).\nAnswer: w**2 + 37*w - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qbbfspbfqhf. Give prob of picking 1 f and 1 s.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1961 + 2060. What is the lowest common multiple of 22 and d?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) be the second derivative of 0 + 0*r**2 - 1\/18*r**4 + 1\/45*r**6 + 2*r + 0*r**3 + 0*r**5. Find c such that l(c) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 10*d**3 - 256*d**2 - 118*d + 364.\nAnswer: 2*(d - 26)*(d - 1)*(5*d + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*v - 5*h + 20 - 5 = 0, -30 = -5*h - 15 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(1728) + (sqrt(1728) - sqrt(1728)*-4)))\/(sqrt(8)\/(sqrt(16)\/sqrt(8)*5)).\nAnswer: 1440*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 31, -43, -171, -353, -589, -879?\nAnswer: -1223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -259.846794 and 393?\nAnswer: 652.846794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 0 = 9. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 56 + -37. Which is smaller: 20 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**(2\/21)\/m**(-15)*(m\/m**0)**(-2\/5) assuming m is positive.\nAnswer: m**(1543\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15798832 is divided by 7899385?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/311?  (a) 1\/26  (b) -6  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 29049.\nAnswer: 3, 23, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -2*i**2. Let u = 5 - 2. Let h(x) = u*x - 2*x + 2*x**2 - x. Determine a(h(d)).\nAnswer: -8*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand 15*t - 12*t - 46*t**2 + 8*t**2 + 0*t**2 - t**2 + 0*t**2 + (3*t - 5*t + 0*t)*(-2*t + 0 + 0).\nAnswer: -35*t**2 + 3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-b**2 - 2*b**2 + b**2)*((3*b + 0*b - 4*b)*(-3*b + 3*b - b) + b**2 + b**2 - b**2).\nAnswer: -4*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + (18 - (13 - 8)) - 7.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 43 divide 63031?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -749576*j**3 - 219346 wrt j.\nAnswer: -2248728*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*h + h - 5*a + 13, 0 = -5*h + a + 73. Let y = -246 + 256. Suppose -5*f + 4*t + h = 0, 2*t + y = 5*f - f. Put 4, -4, f in decreasing order.\nAnswer: 4, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -463*x + 100. What is the hundreds digit of l(-30)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = 22*h**2 - 50*h - 309. Calculate the remainder when z(-6) is divided by 207.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-6)\/((-24)\/(-5))*12\/(-3). Suppose 3*c + 6*f = 4*f + 2332, p*c = -f + 3896. Is 52 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.1 + 0.3. Which is the third smallest value?  (a) y  (b) -1  (c) 1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 515*o + 10319. Give x(-20).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 686?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -154.65 - -157.65. What is the fourth biggest value in -2\/7, 1\/3, -0.3, p, 5\/12?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) be the first derivative of 2 + 0*w - 1\/15*w**5 + 0*w**3 - 1\/12*w**4 + 0*w**2. Factor s(q).\nAnswer: -q**3*(q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh biggest value?  (a) -3  (b) 20  (c) 4  (d) 80  (e) 0.4  (f) -0.05  (g) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 220 and 528.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -b. Let d(x) = 3*x**2 - 46*x - 9. Let y be d(19). Suppose 10 = -15*q - y. What is m(q)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.398668113 rounded to three dps?\nAnswer: 1.399","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -419 + 0?\nAnswer: -419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 5477082 divided by 70219?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 13*l**2 - 7348*l - 5644. What is p(566)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Determine i, given that 4*i**3 + 180*i**2 + 504*i = 0.\nAnswer: -42, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = 5*q**2. Let x(w) = -21*w**2 - 1. Let m(t) = 4*t**2 + 5*t - 12. Let l be m(-3). What is l*z(i) + 2*x(i)?\nAnswer: 3*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*m - 6. Let o(p) = -20 + 66*p + 43*p**2 + 11 + 5 - 35*p - 34*p. List the prime factors of o(m).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -63\/488128 and 131\/454464?\nAnswer: 13179456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -3 - ((-87)\/(-21) - 56\/392) - -3. Let k = -0.2 + 0.1. Suppose 0*f - 4*f = -5*w + 21, 3*w = 2*f + 11. What is the nearest to w in 0, j, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-2)\/(-1))\/(-4))\/((-1)\/(-2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -1\/4  (b) -4  (c) -0.7  (d) 8  (e) -4\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 80 = 5*t - g, 0 = -t - g + 10. Let x be t\/(-30)*(1 - 5). Suppose -x*a + 4*u + 0*u = 12, 5*a + 4*u = 12. Is a >= -7\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 103 - 102.5. Suppose 2*f + 24 = -2*f. Which is the closest to f?  (a) -0.5  (b) u  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -2*f**2 + 19*f + 17. List the prime factors of t(7).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1 and 0.089.\nAnswer: 0.089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2864683 - -0.5.\nAnswer: -2864682.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 640, 841, 1070, 1339, 1660, 2045, 2506?\nAnswer: 3055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find a, given that 2*a**4\/5 + 312*a**3\/5 - 322*a**2 = 0.\nAnswer: -161, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-3)\/(-5) + 132\/(-420). Let w be (-3)\/(-4) - 2\/(-8). Let y be (0\/(-2))\/(-1)*w. Is y less than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b\/(b\/(b\/(b*b**(4\/5)*b)))*b)\/(b*b\/(b*(b\/b**(-1)*b)\/b)))**(1\/60) assuming b is positive.\nAnswer: b**(1\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 363724237 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-5312)\/(-2640) + -3 + 0 + 1. Let c = s - -127\/3135. Which is smaller: c or 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 496 + -2188479393?\nAnswer: -2188478897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = 2*d**2 + 3*d - 164. Give x(8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 536?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 48 + -56 - (0 - 13)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a - 5*i - 16 = 1, i + 1 = 0. Sort -6, 2, a.\nAnswer: -6, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 4 - 3*o + 4*o)*(0*o**2 + 0*o**2 - 4*o**2)*(-24*o**2 + 27*o**2 + 13*o**2) - 645*o**3 - 48*o**5 + 645*o**3.\nAnswer: -112*o**5 - 64*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-14733)\/1634)\/9 - -1. Let p = 55529\/14706 - d. Let s = -4657\/8 - -581. Find the common denominator of p and s.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1769 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c - 4*c = -5*s - 25, 5*c - 10 = 2*s. Let z(j) = -9141*j + 2. Is z(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) -0.4  (b) -0.3  (c) 17  (d) 0.15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -103 - -103. Solve q = -2*y + 4*y - 10 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -9*t - 186. Let j be r(-21). Factor 30*w - 35*w**4 + 85*w**j + 0*w**5 + 15*w**2 - 100*w**2 + 7*w**5 - 2*w**5.\nAnswer: 5*w*(w - 3)*(w - 2)*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -155, 4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*d - 4*d + 5*b + 25, 0 = d + 5*b + 25. Let q = 0 - d. Solve -5*m + q = 15 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cdddwsscwdsds. What is prob of sequence dw?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -w**2 + 16*w + 41. Let g be c(17). Suppose 2*v = 188 - g. Suppose -4*r + 35 = 2*f - 37, 2*f - v = r. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2954811*v + 3 - 2954820*v + 5909631*v - 18 - v**2.\nAnswer: -v**2 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = 2*v**3 - 2*v**2 - 3*v + 2. Suppose 4*i - d - 12 = 3*d, -4*d - 4 = 0. Let s be w(i). Suppose -6 = 2*j - s. Is j >= -1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 2, 26 in decreasing order.\nAnswer: 26, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand -c**5 + 0*c**4 + 0*c**4 + (1 + 3 - 2)*(-134*c**5 - 150*c**5 - 150*c**5).\nAnswer: -869*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 6*r**2 - 1355*r + 10243. Calculate p(218).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 871285 to the nearest integer?\nAnswer: 933","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -59*q**3 + 25*q**3 - 97*q**3.\nAnswer: -131*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 221, -1488, -4339, -8332?\nAnswer: -13467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = 4*r - 2. Let g be o(2). Let y(a) = -a**3 + 5*a**2 + 8*a - 8. Let s be y(g). Suppose -1 - 15 = -q. Solve -4 = s*p - q for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1698 is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*k**3\/7 + 16*k**2\/7 + 8*k\/7 - 64\/7.\nAnswer: -2*(k - 8)*(k - 2)*(k + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 5052, 10101, 15150, 20199, 25248, 30297?\n\"Answer: 5049*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5996, 11996, 17996?\nAnswer: 23996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g = -13*w + 11*w - 1, -5*w = 5*g. Is 1031*((5 - g) + (-18)\/6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 114733718?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -74 + -6. Let h = -8\/37 - -809\/148. What is the common denominator of 2\/5 - (-982)\/p and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 63*n + 45*n - 124*n - 2 + (1 - n - 1)*(-1 - 2 + 4).\nAnswer: -17*n - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-68)\/(-12) - 2\/3. Suppose m + 21 = i*k, -2*m - 6 = 2*k - 12. Factor 4*w**2 + 10*w**3 + 44*w**5 - 6*w**k - 2*w**2 + 20*w**4 - 38*w**5.\nAnswer: 2*w**2*(w + 1)**2*(3*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -65*v**2 + 34*v**2 + 30*v**2.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -16  (b) -1\/10  (c) 7\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -181\/6750 and 37\/31885125?\nAnswer: 573932250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.7 - 0.3. Suppose 446 = 2*f + 442. What is the nearest to f in -1\/6, u, 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f - 4*g = -366, 2*f - 948 = -3*f + g. What is the greatest common divisor of 126 and f?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/2, 1, -43\/4 in descending order.\nAnswer: 1, -1\/2, -43\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 28122, 28124, 28126, 28128, 28130?\n\"Answer: 2*j + 28120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from moyyyyoyomyomyym. What is prob of picking 1 o and 1 m?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is ((240\/(-18))\/4)\/((-4)\/(-6))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 0 + 320a52?\nAnswer: 320a52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 5, -2\/71, 1\/2?\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1343471306 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -215*a**4 - 20*a**3*j**2 - 2*a**2*j**2 + 35*a**2*j - 2*a*j + 24*j**2 wrt a?\nAnswer: -5160*a - 120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in three eighths of a millennium?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -2.26 + 2568123.6\nAnswer: 2568121.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 28, -0.6, 332, 1\/4 in decreasing order.\nAnswer: 332, 28, 5, 1\/4, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1 + z**3 + 1 + (-5 - 9 + z - 5)*(2*z**2 - 2*z + 2*z).\nAnswer: 3*z**3 - 38*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 4*i**2 + 0*i**2 - 1.\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) be the third derivative of -7*q**5\/60 + 46*q**3\/3 - 29*q**2 + 3*q + 2. Let a(x) = 5*x**2. Give d(a(u)).\nAnswer: -175*u**4 + 92","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) -0.3  (b) 0.9  (c) 31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8565.575 centimeters to millimeters.\nAnswer: 85655.75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 28.1 - 27. Let i = t + -1.1. Let y = i + 0.09. Round y to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -417 - 36 = 191*o - 54 + 174 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 0.03*17194\nAnswer: 515.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 25596 and 5832?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + ((sqrt(288)*-2 - sqrt(2)) + 0 + sqrt(2)*-1 + 2)**2.\nAnswer: -104*sqrt(2) + 1357","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = 2 + 14 - 4*y**2 + y**3 - y**2 + 4*y**2. Let b be f(0). Calculate the smallest common multiple of (b - (-2 + 2))\/2 and 7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 8478, 17007, 25532, 34053, 42570?\nAnswer: 51083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Let m be 110\/225 - (-2 - (-2 - 4\/(-36))). What is the smallest value in m, 2\/25, -2\/15, -4\/9, 3?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1\/133 + -8\/19. What is the closest to 9 in x, -0.3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e and 1 y when two letters picked without replacement from ffeeeeyffyyeyfhfe?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 2*t. Suppose -11*r = -7*r. Let o(d) be the first derivative of r*d + 2 + 1\/2*d**2. Determine o(f(g)).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*u - 65*u - 1692 = -u for u.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -w**3 - 2*w**2 - w + 1. Let h be z(-2). Suppose 5 = h*a + 2*a. Let n = -5 + 8. Is a less than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25596 = -b + 2*k, -3*k - 25603 = -119*b + 118*b. List the prime factors of b.\nAnswer: 2, 12791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -3 + (-3 - (-27)\/1). Find k, given that -k**2 + 28*k**3 - b*k**2 + 2*k - k + 3*k = 0.\nAnswer: 0, 2\/7, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-510)\/306*6\/(-30)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -11*q**3 - 8*q**2 + 8*q - 2. Let d(a) = 4 + 7*a**2 - a**3 - 3*a + 5*a**3 - 4*a**2 - 3. What is -8*d(y) - 3*k(y)?\nAnswer: y**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1\/18 + -5\/9. Which is the third biggest value?  (a) l  (b) 4  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4590*m**2 - 1548*m**2 - 1264*m**2)*(-1 - 2*m + 2*m + m) + 4*m**3 + m**3 - 4*m**3 to the form p*m**2 + l*m**3 + i + q*m and give p.\nAnswer: 7402","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sum -1368.2 and 1.55197.\nAnswer: -1366.64803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = c**3 + 12*c**2 + 2*c - 21. Does 33 divide x(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 27789108?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 20.5 - 21. Put -9, 1\/4, y in descending order.\nAnswer: 1\/4, y, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 34*o. Let c = -83 - -82. Let t(i) = i. Let s(p) = -p**2 + 2*p. Let r(u) = c*s(u) + 2*t(u). Calculate j(r(g)).\nAnswer: 34*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 1438456135 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(686)*5 - 4*(sqrt(14) + sqrt(14)*3))\/(-5*(1*sqrt(80)\/sqrt(5))\/sqrt(8)))**2.\nAnswer: 2527\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = q - 12. Let a be h(11). Let o(n) = -8*n + 1. Does 9 divide o(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 7 + -5. Suppose z = -d*z. Suppose 42 = -z*q + 3*q. Calculate the remainder when q is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = 10575*o + 2442836. What is l(-231)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(847) + -3)*2 + 6*(sqrt(847)*-4 + sqrt(847)))**2.\nAnswer: 2112*sqrt(7) + 216868","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/2*1*(-22)\/33?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 655139917 at least 655139917?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of o*w**3 + 60*o*w + 5467*w**3 - 6*w**2 + 2*w + 62 wrt w?\nAnswer: 6*o*w + 32802*w - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*z**5 - 3*z**5 + z**5 + (z**5 - 2*z**5 + 0*z**5)*(-1 - 3 + 3 - 1 - 1 + 3 + (6 - 10 + 9)*(-4 + 0 + 3)).\nAnswer: 3*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 4 - 88c06b4?\nAnswer: -88c06b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.0461, 0.5, 2.614?\nAnswer: -0.0461","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = 1. Suppose -4*q + 33*a = 30*a - 14, -4*q + 4*a = -20. Let d(v) = -28*v + 4. Calculate q*d(s) + 5*y(s).\nAnswer: 28*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2195 and 42304235.\nAnswer: 2195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 100 - 1332332101?\nAnswer: -1332332001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -27*h**2. Let z(v) = 12*v**2 - 15. Determine z(o(p)).\nAnswer: 8748*p**4 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w, 1 g, and 2 k when four letters picked without replacement from {i: 1, g: 1, w: 3, v: 4, k: 6}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 3*j**3 - 4*j**2 + 15*j - 9. Let l(q) = 32*q**3 - 43*q**2 + 150*q - 90. Let m(a) = 2*l(a) - 21*s(a). Calculate m(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 20947297*h**3 - 2*h - 33911422?\nAnswer: 125683782*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = 200*t**2. Let f(s) = 24*s. Let j(a) = 17*a. Let r(h) = -5*f(h) + 7*j(h). Give r(g(z)).\nAnswer: -200*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = 44*v + 447. Let o be p(-10). Put 6, 2, o, 3 in increasing order.\nAnswer: 2, 3, 6, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 5*q - 3. Suppose -2*g + 8 = -g. Suppose 2*n + 17 = 3*l - 8, 0 = -5*n - 4*l - 5. Let a(u) = 3*u - 2. Let j(i) = g*a(i) + n*c(i). Calculate j(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*o - 11857 = -11759 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 17.8 in 3\/64, -1.2, -3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 98 + -126. Let a = m - -61. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 35227639 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 271 - 78 + 183 + 2*c**2 + 53 to k + j*c + h*c**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) be the second derivative of r**4\/3 + 13*r**3\/3 + 38*r**2 + r - 6. Is 36 a factor of f(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35 + 15 = 5*u. Calculate the smallest common multiple of u and 11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 570 and 7028130.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37*r + 39*r = 0. Suppose 3*y = 2*m + 3*m - 6, 5*y + m + 10 = r. Which is greater: y or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -17, 85 in descending order.\nAnswer: 85, 4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = 6*s + 64. Let u be v(-9). What is the common denominator of 494\/60 - (u - 8) and -80\/117?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -t**2 + 25*t - 92. Let x = -10 - -29. Is 14 a factor of z(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 3*l - 2. Let p(y) = 5*y - 3. Let c(k) = 2*k - 3. Let w be c(5). Let i(n) = w*a(n) - 4*p(n). What are the prime factors of i(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 0 and -1\/2392615 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = 2*w - 319. Let q = 175 - w. Solve 0*j - q = 6*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 5, 13, -2, 985, -1 in decreasing order.\nAnswer: 985, 13, 5, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) be the first derivative of -3*n**2\/2 - 4*n - 7. Let p(c) = 3*c + 3. Suppose 10 = 4*k + 3*t, -k - t - 22 = -6*k. Calculate k*q(s) + 5*p(s).\nAnswer: 3*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -8174160 to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1057 = 38*u - 1040 - 344 + 275 for u.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 2*s**3 - 3*s**2 + 3*s - 1. Let b(d) = -d**3 + 3*d**2 - 3*d + 1. Let v(t) = 497*t + 2980. Let a be v(-6). What is a*j(w) - 3*b(w)?\nAnswer: -w**3 - 3*w**2 + 3*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1573)*2 + -5 + (-1*sqrt(1573) + sqrt(1573))*-3 + sqrt(1573) + 1 + sqrt(1573) + -2 + (1 + sqrt(1573))*-4)*-6*4)**2.\nAnswer: 57600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 9883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 7 and 6290914?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-635)\/5)\/(-1 - 0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(475) + -1*sqrt(475))**2*3 + -1 - (3*sqrt(76)\/sqrt(2))\/(2*sqrt(6)\/sqrt(3)).\nAnswer: -3*sqrt(19)\/2 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -18, -1, 1, 3\/7, 0.5, -6.08?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 11660 - 11688. Let f = 2 + -12. Let q = f - g. What is the smallest common multiple of 16 and q?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -1285, -208, 5527, 18248, 40283, 73960, 121607, 185552?\n\"Answer: 388*n**3 + n**2 - 1642*n - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 9553060039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find y such that -2*y**4\/7 + 132*y**3\/7 - 608*y**2\/7 - 132*y\/7 + 610\/7 = 0.\nAnswer: -1, 1, 5, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 79 + -20. Let p = i + -63. Which is smaller: 4 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8 + -12 + ((-7)\/14)\/((-26)\/196).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -670*j - 32970 = -677*j. Suppose 5*s = -5*s + j. List the prime factors of s.\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 7.6 - -0.4. Let k = -6 + x. Let t be (-1)\/(-4)*-3 + 1. What is the second smallest value in 1\/7, k, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 45.81671ml in litres?\nAnswer: 0.04581671","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*r - 4*w + 36, r - 10 = 4*w - 31 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*t + 58 = -2*y + 28 + 6, 0 = 15*y - 3*t for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -2\/5  (b) 2\/3  (c) -2\/15  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -72 by -3.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 191842\/27 or 7105?\nAnswer: 191842\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*y - 967*b = -970*b - 14, -28*b - 226 = y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 74429*g - 74429*g + 29*g**2.\nAnswer: 29*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 308857 is divided by 308745?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = 4 + 0 + 1 - 1 - y. Let o be (-90)\/6*(-7)\/3. Let f = o + -43. What is d(f)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 244 + -242. Suppose -5*g + 6*a + 879992 = 2*a, -352004 = -2*g - t*a. Round g to the nearest 10000.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p - 3 - 9 = 0. Let o = -34 - -39. Put o, 0, p in ascending order.\nAnswer: p, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 21102255?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 3*i**2 + 165*i. Let b(y) = -4*y**2. Calculate t(b(x)).\nAnswer: 48*x**4 - 660*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = 3*j**2. Let q(a) = -2*a - 1 + 2 - 80*a**2 + 2*a + 79*a**2. Give f(q(y)).\nAnswer: 3*y**4 - 6*y**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -10 - -14. Let o be f\/14 - 6\/14. What is the nearest to 1 in -1, -0.4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) be the third derivative of c**5\/12 + c**4\/4 + 3*c**3\/2 + 39*c**2. Let i be q(-2). Solve 5*f - i = 2*d - 5*d, 4*d = -4*f + 12 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -66, -151, -236, -321, -406?\nAnswer: -491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 3*x**2 - 9*x + 1. Let r be n(6). What is the greatest common factor of r and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10506473 is divided by 1443.\nAnswer: 1433","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 85c2 (base 16) to base 7.\nAnswer: 201555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:22 PM and 2:49 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 0, -137, -24, -5 in increasing order.\nAnswer: -137, -24, -5, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1102 - 1111110210?\nAnswer: -1111112012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) be the first derivative of -3*r**6 + 39*r**5\/5 - 3*r**4\/2 + 67. Factor b(h).\nAnswer: -3*h**3*(h - 2)*(6*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -123\/40 and -33\/824.\nAnswer: 4120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 4, m: 1, o: 2}. What is prob of sequence km?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 73.07815 kilograms to tonnes.\nAnswer: 0.07307815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 35.86674l?\nAnswer: 35866.74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 4539 + -49972\/11. Let n = 353 - 2416\/7. Find the common denominator of c and n.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1 + sqrt(1300) - sqrt(1300))*3 + sqrt(1300))**2.\nAnswer: 60*sqrt(13) + 1309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 79 divide 170473178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) be the third derivative of 5*u**4\/24 + 5*u**2. Let m(r) be the third derivative of 0*r + 12*r**2 + 0 - 3\/8*r**4 + 0*r**3. Give 3*m(o) + 5*t(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -4\/3831 and (-4)\/((-32)\/(-21)) - 0\/(-263)?\nAnswer: 30648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-25)\/(-52) - (-1)\/(-2). Is 1 at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 13595, 13585, 13569, 13547?\nAnswer: 13519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-16550)\/(-400) + (-25)\/(-40). Let d(r) be the first derivative of b - 10*r**4 - r**2 + 0*r + 20\/3*r**3. Find the third derivative of d(n) wrt n.\nAnswer: -240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 38465?\nAnswer: 5, 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 12 + -7. Let c = 5 + 8. What is the smallest common multiple of c - b - (0 - -2) and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 65 and 9592?\nAnswer: 623480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) be the third derivative of 5*u**8\/168 + 11*u**5\/60 - 7*u**2. Find the third derivative of f(a) wrt a.\nAnswer: 600*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = h - 6. Let t(n) = n + 3945. Give k(t(p)).\nAnswer: p + 3939","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 37 + -33.6. Let g = -0.6 - p. Let l = 4.000003 + g. What is l rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1131871 is divided by 125763?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/(-8)*(-64)\/(-168)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -1\/20 and 35\/63652.\nAnswer: 318260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 727631341?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*s = -z - 3, -21*z - 2*s + 14 = -19*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in one quarter of a day?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -756*d - 315 = -777*d for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 283 - 282. Let q = -74 + 87. Put r, -0.3, q in decreasing order.\nAnswer: q, r, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 175417219 to the nearest ten thousand.\nAnswer: 175420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -u + u - 2*u**2. Let i(m) be the third derivative of m**4\/24 - 14*m**2. Calculate a(i(p)).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out 283 * -3.\nAnswer: -849","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*w**2 + 4*w**2 + 6*w**2 - 2*w**4 - 3*w**3 - 5*w**2 to the form n + k*w**3 + o*w**2 + f*w**4 + t*w and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 120 minutes after 8:26 AM?\nAnswer: 10:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z\/z**(-1\/9))\/z)\/z**(5\/2))\/(z\/z**(-3\/2))**(-2\/115) assuming z is positive.\nAnswer: z**(-971\/414)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 17.6 - 15. Let d = -0.4 - u. Suppose 4*q = -4*v + 2*q - 8, -3*q = -4*v - 8. Which is the closest to v?  (a) d  (b) -0.2  (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13131377773 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2 + 0 + 0)*(u + 0 + 0) - 7*u + 5*u - 8*u)*(0 + 3 + 3).\nAnswer: -72*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 23292?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = 7*h - 74 + 74. Let m(k) = -181*k + 12. Let n(f) = -387*f + 26. Let v(p) = 13*m(p) - 6*n(p). Give v(u(a)).\nAnswer: -217*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 7*s**2 - 13*s. Let p(l) = -l**2 + 2*l. Suppose -3*k = -168 - 15. Suppose -k = -3*w + 56. Calculate w*p(x) + 6*b(x).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 503757695 is divided by 1792732.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 151 divided by 12?\nAnswer: 151\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -58*z + 318 = -5*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 33534849 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7\/((-7)\/4) + (223 - 6).\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 >= 3\/124?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 452951?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**(6\/13)*x\/(((x\/(x\/(x\/(x**(-14)*x))))\/x)\/x) assuming x is positive.\nAnswer: x**(-137\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 60339678 to the power of 1\/4, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand q**3 + q**2 - q**2 + (0 + 2*q + 0)*(-2*q**2 + 4*q**2 + 0*q**2) + (2*q**2 + 4 - 4)*(-2*q + 2 - 2) - 310*q**3 + 7433*q**2 - 7433*q**2.\nAnswer: -309*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = f + 3. Let m be o(5). Suppose -2*z + 4*s + 12 = 0, m = 3*z - 0*z - s. What is the greatest common factor of z and 34?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 154684 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 61869151031 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + 32\/(-24)*(-30)\/4.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1938327763 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*x**2\/7 - 8464*x\/7.\nAnswer: 2*x*(x - 4232)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 n and 1 r when three letters picked without replacement from qqnbnbnnbnbnnnnr?\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) be the third derivative of b**4\/8 + b**2. Let o(m) = -m - 7. Let x(t) = 3. Let s(g) = -3*o(g) - 7*x(g). Determine s(z(f)).\nAnswer: 9*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c - 1 = n - 2, c - 1 = 0. Solve 0 = 2*p - n*p + 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 7091?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 3, l: 1, m: 4, e: 2, r: 1}. What is prob of picking 1 l, 1 p, and 2 m?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:58 AM and 3:25 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 82.499 * 0.0401\nAnswer: 3.3082099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*j - 4*j = -121. Calculate the greatest common factor of 1 and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -21\/713282 and 36\/89516891.\nAnswer: 179033782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 6829 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -227, -461, -685, -899, -1103, -1297, -1481?\nAnswer: -1655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from dddodddhdddhdodddhl. What is prob of picking 2 d, 1 l, and 1 o?\nAnswer: 13\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1260 + 0.4.\nAnswer: 1260.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i = 2*q - 12, 4*i + 20 + 0 = 3*q. Solve o = -q*o + 10 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1  (b) -1\/530  (c) -0.25  (d) 6  (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:42 PM and 5:18 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 58\/32121 and 29\/10707.\nAnswer: 32121","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3913 + -3869. Solve u - m = -45 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -y**3 - 5*y**2 + y - 5. Let b be -1 - (442\/119 + (-2)\/(-7)). Calculate s(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i, 1 u, and 1 e when three letters picked without replacement from yuieui?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -200, 0.028.\nAnswer: -200, 0.028, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -198 - -290. Let o = r - 65. Does 8 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1.77 + -2.77. What is the closest to v in -2, 0.05, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*g - 2 - 17*g + 2*g + 10199*g**2 + 2 - 10200*g**2 + 9*g.\nAnswer: -g**2 + 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2140.\nAnswer: 2, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (-187)\/154 + (-3)\/(-2)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 474911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (-1 + 1 + sqrt(7) + sqrt(448) + -1 - (-2*sqrt(700) - (sqrt(175) + 1))**2*-1).\nAnswer: 59*sqrt(7) + 4380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 656 = 504. Suppose -5*d + p = 5*n, -2*n - 269 = 3*d - 8*d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 210132020 + 10?\nAnswer: 210132030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = c**3 + 20*c**2 - 20*c + 18. Let t be b(-21). Put 2\/5, -0.07, t in increasing order.\nAnswer: t, -0.07, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (67*s - 10*s + 41*s + 2109 - 2106)*(1 - 4 - 1) as y*s + i and give i.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.21 less than 0.043?\nAnswer: -0.167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 14958, 29914, 44870, 59826, 74782?\nAnswer: 89738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 77\/6 at least as big as -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Determine g so that 2*g**4 - 170458*g**3 + 852246*g**2 - 511326*g - 1534032 = 0.\nAnswer: -1, 3, 85224","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24037*u**2 - 771*u + 24051*u**2 + 224*u.\nAnswer: 14*u**2 - 547*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) be the second derivative of -u**5\/20 + u**4\/2 + 3*u**3\/2 - 3*u**2\/2 + u. What is the remainder when 30 is divided by o(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 178515 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.38511039 rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6028*c - 26 = -6026*c + 22 for c.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3220\/138*48\/56.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 27916.19 litres?\nAnswer: 27916190","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -65*d + 74*d - 6560 = -45*d - 110*d for d.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lfgb when four letters picked without replacement from zgolflzb.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 129685665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-476)\/36 + 6\/27 + 0. Which is the biggest value?  (a) -32  (b) t  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g\/((g\/(g\/g**(-2)*g))\/g))\/g**6)**(-20\/9) assuming g is positive.\nAnswer: g**(20\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2 - 3. Which is the nearest to v?  (a) -0.4  (b) 3\/8  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 10, i: 2, f: 3}. Give prob of picking 2 p and 1 i.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1965?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -79\/225 and 31\/441.\nAnswer: 11025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Product of -15 and 3.49.\nAnswer: -52.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(891)*-1 + 4)**2 + ((sqrt(11) + -2 + -2)**2 + sqrt(11) - sqrt(77)\/sqrt(7)*6).\nAnswer: -85*sqrt(11) + 934","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -601, -552, -421, -166, 255, 884, 1763?\n\"Answer: 7*a**3 - a**2 + 3*a - 610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(120)\/(-3*sqrt(2)*-2))\/(sqrt(72)\/(-3*sqrt(486) - sqrt(486))) + 5.\nAnswer: -6*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1656 and 2484?\nAnswer: 4968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -3*g**2 + 5*g - 3. Let b(h) = -2*h**2 + 3*h - 1. Determine -5*b(a) + 3*c(a).\nAnswer: a**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*v**2 - 11*v**2 - 8*v**2 + 7*v**2)*(-31 + 47 - 30) + (-2 + 2*v + 2)*(-2 + 2 - v).\nAnswer: 222*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -298265 = -5*l + 4*r, 6*l - 4*l - r - 119309 = 0. List the prime factors of l.\nAnswer: 13, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 5629 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 548039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = 6*f**3 + 2*f**2 - 1. Determine a(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 283327 at most as big as 283328?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-3)\/(-6))\/((-6)\/(-264)). Suppose -q = -2*q + p. Calculate the greatest common divisor of 11 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 120 is divided by 58?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 103 minutes after 4:59 AM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 + x - 3)*(38 - 30 - 42 + (0 - 1 + 2)*(-2 + 1 + 2))*(0*x**3 + x**3 + x**3) as i*x**2 + o*x**3 + c*x**4 + g*x + j and give c.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -8 - 77*x**2 - 80*x**2 - 13*x + 156*x**2 + 7 - 10. Calculate b(-10).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.19 + -0.49. Let l = -4 - -3.6. Let q = 1.6 - l. What is the biggest value in q, b, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15*f + 17 - 7 - 13 + 41*f.\nAnswer: 26*f - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1\/2, -2\/5, 0.1, -84, 1\/8, -292?\nAnswer: -292","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = c + 3. Suppose 3*f + 2*f = 0. Let t be w(f). Calculate the common denominator of (t\/(-4))\/((-36)\/(-75)) and 19\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 102*r + 212437 = 5409337. What are the prime factors of r?\nAnswer: 2, 5, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3265337 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-9)\/(-1) - (-1 + 2). Let p = 17 - b. Suppose 0 = 4*g + 3*w - 2, -5*g + 4*w - p = 2*w. Which is smaller: 0 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.089 + -5029879\nAnswer: -5029879.089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 6233.593l in millilitres?\nAnswer: 6233593","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = v**3 - 85*v**2 - 84*v - 169. Let x be i(86). Solve 6*f - 3*h = x*f + 30, 3*f + 5*h + 10 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 0.233 and 174 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2 * -3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) be the third derivative of b**5\/120 + 11*b**4\/24 - 17*b**3\/2 + 8*b**2 + 3. Let k(c) be the first derivative of q(c). Determine k(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-12)\/9*((-4)\/(-12) + -9 + 9)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8758 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -5*r - 1. Let g be 1\/(-1) - (-2 - 0). Let u = -6 + g. What are the prime factors of k(u)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 65\/12 and -145\/19632.\nAnswer: 19632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4 (base 6) to base 4.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (1\/(-3))\/((-2)\/(-6)). What are the prime factors of 3*(f + (-33)\/(-9))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*s - s + 20 = 0. What is the second derivative of -s*z - 196*z**4 + 224*z**4 - 15*z wrt z?\nAnswer: 336*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = 2*c**3 + 2*c**2 - c + 386. Let l be k(0). Suppose 2*o - 4*u - 258 = 0, -3*u + 259 + l = 5*o. List the prime factors of o.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -1  (b) 0.1  (c) -1\/71  (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -b + 78?\nAnswer: 6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 4585875 rounded to the nearest one hundred thousand?\nAnswer: 4600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 3620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = 2*u + 22. Let n be h(-9). Suppose 0 = c - 4*w - 11 - 10, n*w + 36 = 4*c. Suppose c*q = -3*t + 40, -4*q - 56 = 3*t - 5*t. Does 11 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -92 or -101?\nAnswer: -92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put together 10 and -185432.06487.\nAnswer: -185422.06487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2203 (base 14) to base 15.\nAnswer: -1b23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f - 2*p - 73 = 7, -3*f + 2*p + 248 = 0. Let g = 10 - 6. Suppose 4*o - f = -g*t + 88, 5*t + o = 195. Does 19 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -1350, -2673, -3948, -5175, -6354, -7485?\n\"Answer: 24*t**2 - 1395*t + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l = -q + 2, 3*l - l + 2*q - 8 = 0. Which is the nearest to l?  (a) -4  (b) -5  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5978 is divided by 46.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 13*l. Let s be (-11)\/(-3) + 1\/3. Suppose -6*q - 19*q - 28*q = 0. Let o(b) = -9*b + q*b + s*b. Calculate o(y(u)).\nAnswer: -65*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -2 - 6\/(-4) - 27\/(-18). Suppose -2*w - 2*k + 9 = -k, 18 = w + 5*k. Differentiate 0 + 1 - b + 4*f**w + 4 wrt f.\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2073?\nAnswer: 3, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 35435.381 rounded to the nearest ten?\nAnswer: 35440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 8, 16, 24, 32, 40, 48?\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -u + 17. Let a = 255 + -247. Let p be m(a). Solve 2*f - 2*d = -d - p, 2*d = 3*f + 16 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3524855?\nAnswer: 5, 31, 22741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (6\/4 - 1)*(12 + -10). Let i be n - (873\/99 + -8). Is -0.08 equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 27.9 - 28. What is the second smallest value in 6, w, -2\/7, 1\/6?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 2, -33\/19, -3?\nAnswer: -33\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2896 - 2891. Let a be 36\/(-63) + 2\/7*9. Solve -a*f + 0*f = r*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 4\/959  (b) -0.2  (c) 0.3  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1071 or -248?\nAnswer: -248","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Product of -2 and 9.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 418 minutes after 10:47 AM?\nAnswer: 5:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) be the first derivative of -17*c**2\/2 - 3. Let w(d) be the third derivative of d**5\/30 + 13*d**2. Calculate u(w(h)).\nAnswer: -34*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:06 PM and 3:05 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express (-x - x + 0*x)*(777 - 400 + 477)*(3 - 5 + 1)*(2 - 4 + 3 + (-2 + 2 - 2)*(-1 + 1 - 2) + 15 + 23 - 5) as a + g*x and give g.\nAnswer: 64904","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.01 in 0.3, 11, -16\/11, 17, -0.9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -32915 by 21.\nAnswer: -32915\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-2 - (1 + 0))\/(-1). Let l(w) = -w - 2. Let j be l(o). Is -5 less than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 5\/126431 + 1713139995\/1390741. Let x = 1232 - s. Solve -4\/11*r**4 + 0*r + 4\/11*r**2 - x*r**3 + 0 + 2\/11*r**5 = 0 for r.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2*l**2 + 9880*l - 34121?\nAnswer: -4*l + 9880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 1\/3, 5, 4, 1149?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.06 - 5.06. Put 1, l, 0.2 in increasing order.\nAnswer: l, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5 by -5521.\nAnswer: 5\/5521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5 = 484144*y - 484142*y - 3*o, 0 = -y - 3*o + 7 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 60*s + 50*s + 90*s - 297*s + 52*s + 51*s.\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.1817 - -0.0933. Which is the third biggest value?  (a) l  (b) 2\/13  (c) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (217 - 220) + (2 - (-1 + 4 - 1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 91*q + 64*q = -29*q + 44*q - 12040 for q.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -33 + 28. Let b be 105\/8 - o\/(-40). Suppose 4*y - 3*c - 195 = 0, y + 3*c - 17 = b. Is 15 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -188*q - 2 = -192*q + 3*y, -q - 5*y = -12 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:48 AM and 7:49 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*i**3 - 20*i**3 + 12*i**3)*(-2*i**2 - 2*i**2 + 3*i**2) + 3*i**5 - 4*i**5 - 2*i**5.\nAnswer: -i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 7759 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 29 divide 5788947?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -6*m**4 - 170714*m**3 + 2*m**2 + 78*m - 33277 wrt m?\nAnswer: -72*m**2 - 1024284*m + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 55 - 30 - (4 - -1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 53\/189 and 5\/471830961.\nAnswer: 4246478649","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) be the second derivative of u**4 - 3*u**2\/2 - u. Find the first derivative of a(b) wrt b.\nAnswer: 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((f\/f**(-8))\/f)\/f)\/(f*(f**(-3\/10)\/f)\/f))\/(f\/f**(7\/5)*f*f**(-1\/7)))**(-3) assuming f is positive.\nAnswer: f**(-1647\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 61 = 3*r - 0*r, k = -r + 15. Suppose -14 - k = 5*b. Let v be b\/(7\/((-372750)\/9)). Round v to the nearest 1000.\nAnswer: 36000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -2*w - 2. Suppose -5*d + 9 = p + p, -p + 5*d - 33 = 0. Let x = -10 - p. Let h be a(x). Solve -h*z - z = -3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**1)**(-48)*t**(-1\/3)\/(t\/(t*t**(-6)*t)) assuming t is positive.\nAnswer: t**(-160\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 59 + 145*s - 10 - 47 - 25*s.\nAnswer: 120*s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 60 = 17*u - 14*u. Let k be (-137612)\/u + 9\/15. Let r = k - -82609\/12. Calculate the common denominator of r and 71\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) be the second derivative of 7*s**4\/12 - 5*s**2\/2 + 9*s. Differentiate a(n) with respect to n.\nAnswer: 14*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -p**3 - 3*p**2. Suppose -j + 6 = -3*l, 9 = -l - 2*j - 0. Let u be r(l). What is the closest to 0.1 in u, -1, 1\/2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-1\/2))**27*a**(-2\/11)\/(a*a**(-6)\/a)*((a*a\/(a*a*(a**(2\/3)\/a)\/a))\/(a*a**(-3\/5)))**50 assuming a is positive.\nAnswer: a**(2573\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -713 and 1.12?\nAnswer: -798.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 z and 1 k when four letters picked without replacement from zxbzpkzpxp?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 35, 87, 143, 203, 267, 335?\nAnswer: 407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-70)\/(-25))\/(((-6)\/15)\/(-1))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -18*f**3 - 19*f**2 - 98*f - 109. What is the thousands digit of d(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -1136654 - 0?\nAnswer: -1136654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.01 + -2.99. Let t = 2.55 - 0.05. Let l = t + v. Which is the smallest value?  (a) -0.1  (b) 0.5  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + m = 3. Let t = 20.3 + -19. Let w = 6.3 - t. Sort w, -1\/4, m in ascending order.\nAnswer: m, -1\/4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-6 + 2)*(-10)\/8. Let t be ((-2)\/(-5))\/(1\/l). Solve -2*b + 16 = -t*y, -3*y - b + 11 = 3*b for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h - p + 36 = -41, 2*h - 160 = p. Let i be h\/((3 + -1)\/(-2)). Which is greater: -80 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 208230 to the nearest ten thousand.\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*((-1*sqrt(114) - sqrt(114)) + sqrt(114)))\/(sqrt(150)*2) - sqrt(114)\/sqrt(6)*-1*-6*-3.\nAnswer: 91*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -196*g + 3. What are the prime factors of p(-2)?\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 4139, 3796, 3453?\n\"Answer: -343*r + 4482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -3b1da - -1?\nAnswer: -3b1d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -221 + 298. Let q be 87\/12 + 2\/(-8). Suppose -a = -0*a - q. What is the greatest common factor of d and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 1 and 2\/2450324595 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*b = -3*j - 22, 0 = -44*b + 39*b - 3*j - 37 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 - 0)\/(8\/(-2 - 6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21*a + 25*a + 8 = 0, -3*p + a + 8 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14302 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) be the first derivative of -38*p**3\/3 - p**2\/2 - 161*p - 24. What is the second derivative of g(b) wrt b?\nAnswer: -76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -56560b0 - -2?\nAnswer: -56560aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = r**3 - 8*r**2 - 10. Calculate c(7).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 88 divide 34355992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-50)\/6 + 5)*-27 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8172.949 centimeters in micrometers?\nAnswer: 81729490","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -13*g - 234. Let j be o(-18). Put -8, j, 4 in descending order.\nAnswer: 4, j, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 2190936 and 0.1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) be the second derivative of -n**6\/6 - 5*n**5\/2 - 34*n**4 - n - 211. Find the third derivative of m(l) wrt l.\nAnswer: -120*l - 300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = 12*q. Let t(g) = 0*g**2 + g**2 + 2*g**2 + g**2. Determine t(z(i)).\nAnswer: 576*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 2\/201  (b) 4  (c) 3  (d) 2.9  (e) -1  (f) -0.6  (g) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c\/c**(-2))**41)**(-2\/121))**(-8\/3) assuming c is positive.\nAnswer: c**(656\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -5*d**3 + 9*d**2 - 7*d + 4. Let m(z) = -4*z**3 + 8*z**2 - 6*z + 4. Let x(o) = -5*i(o) + 6*m(o). Give x(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10518063?\nAnswer: 3, 1777, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*h + 3 - 7. Let b = h + 3. Is 19*6 - (b - 2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s = -4*p - 7 - 30, 5*s = -4*p - 45. Let c be 6\/p - ((-258)\/30 - -3). Solve c*y - 4*v + 3 + 3 = 0, 3*y - 2*v + 4 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 2*c**2 - 6*c + 6. Let v be f(4). Suppose -5*m - 2 = 5*z - m, 19 = 5*z - 3*m. What is the tens digit of (v - z)*(1 + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = 3*d - 3. Suppose n - 20 = -4*i, n + 3*n = 0. What is the remainder when 20 is divided by o(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2853932063 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000000837004 rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 13\/2058 and -17\/321430.\nAnswer: 330751470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -4\/29, 17, -4\/7, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 210c7 + -29?\nAnswer: 2109c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-30135)\/42 - (-2)\/(-4). Let y = d - 723. Let a = y - -2063. Is a 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 -2\/23, -51, 2, -3?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*s - 17 = 4. Let p be -4 - (3 + s - -3 - 8). Suppose p = -m + 3*t, -3*t - 10 = -0*m - 2*m. What is the remainder when m is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.011669398094 to 3 dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 4, d: 2}. What is prob of sequence dqdq?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in one quarter of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 52 + -22 - (-1 - -14)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = q**2 + 74*q - 1989. Let h be u(21). Solve 5*y = -2*d + h, 3*y + 14 = d + 22 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = 580*k + 9. Is z(49) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3090628, 3090624, 3090616, 3090604?\nAnswer: 3090588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 135210?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*p = 5*o + 37, p = -4*o - 21 - 2 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -341629\/7 < -48805?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o = 4*n + 29, -11 = 2*o + 4*n + 3. Let h(t) = -t**2 + 3*t - 1. Let k be h(1). Let u = k + 3. Solve -o*s - 1 = -u*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 - 0 - (-8 - -6 - -8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5386 is divided by 258?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 29860 + -17345. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2\/5141 - 56583\/82256. Calculate the common denominator of 55\/8 and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = 4*i - 23. Let x be j(14). Let o(y) = 8 + x*y**2 + 9 - 17 + 8*y**2. Let f(m) = 4*m**2. Give f(o(q)).\nAnswer: 6724*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (110\/(-308))\/((-7725)\/3605).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-y**2 - 3*y**2 + 2*y**2)*(-1 + 1 - y**2) - 64*y**4 + 73*y**2 - 141*y**2 + 71*y**2.\nAnswer: -62*y**4 + 3*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + 20 = -5*c - o, 0 = 4*c + o + 16. Put c, 5, 0 in decreasing order.\nAnswer: 5, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -f + 9, 841*l - 30 = 837*l - 2*f. Let y(q) = 2. Let o(d) = -5 + 2*d - 3*d + 0*d. Calculate l*o(w) + 8*y(w).\nAnswer: -3*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4 in 43.4, 3\/5, 0?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.0058 + -4.0058. Which is the second biggest value?  (a) k  (b) 0.5  (c) -2\/7  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*b**5 + 2*b**5 - 2*b**5)*(65 + 73 - 42 + (-2 - 2 + 5)*(33 + 4 + 11) + 2 - 2 + 3 - 3 + 1 + 3 + (-1 + 1 - 2)*(-1 + 2 + 1) - 5 + 0 + 4).\nAnswer: -286*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = 5*b - 5. Suppose 3*f - 8*f + 22 = 2*l, 5*l = -20. What is the remainder when 97 is divided by s(f)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-seven fifths of a kilometer in meters?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 2, z: 4}. Give prob of picking 4 z.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1903 and 9702.\nAnswer: 1678446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 31 - 11 + 2*y - 5 - 12.\nAnswer: 2*y + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:51 PM and 1:15 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 198 - 93. Let b(u) = -u**3 - 2*u**2 + 3*u + 3. Let o be b(-3). Suppose -o*y - h = -6*y. Is 15 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 5 - 14215?\nAnswer: -14210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 0 - -1305?\nAnswer: 1305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) be the first derivative of 9*z**2\/2 - 8*z + 1. Let x = -525 - -530. Is k(x) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is next in 189, 121, 53, -15, -83, -151?\nAnswer: -219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -183 + 306. Is v a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 239472 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (7 - 3) + (1 - -1 - 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3025993\/15 - -201652. Let p = 239\/3 + t. Which is the closest to -0.1?  (a) -4  (b) -6  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 2*y**2 + 284*y + 1096. Let x be w(-138). Suppose -u + 2 = -c - 0*u, -c = u - 2. Put 6, 3, c, x in descending order.\nAnswer: 6, 3, c, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -68 in -1\/4, 3, 7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8696677399.\nAnswer: 85933, 101203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 less than -28080494375.376?\nAnswer: -28080494379.376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -5*t**2 + 6*t**2 + 6*t**2 + 2*t**2 - 7 - t**3 + t. Let b be d(9). Suppose 0 = -b*g - 2*g. Let p(n) = -n**2 - n - 6. What is p(g)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-220)\/11*12\/(-96)*52\/(-6)*3?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:23 AM and 8:31 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is -622 not equal to -619?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 4 - 1)*(6 - 6 + 4*b**2)*(-821*b**2 - 604*b**2 - 169*b**2).\nAnswer: 12752*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -l**2 + 12*l + 8. Let m be z(11). What is the highest common factor of m and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve n**4\/3 + 44*n**3\/3 - 581*n**2\/3 + 452*n + 660 = 0 for n.\nAnswer: -55, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:20 AM and 6:01 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -p**3 - 5*p**2 + 7*p + 4. Give h(-5).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -370393, -2963170, -10000701, -23705362, -46299529, -80005578, -127045885?\nAnswer: -189642826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 58 is divided by 18?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (6\/(-7))\/((-26)\/91). Let l(m) be the second derivative of 0*m**4 + m + 0 + 0*m**2 + 0*m**b - 1\/25*m**5 - 7\/75*m**6. Determine w so that l(w) = 0.\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (-4 + ((-2 + sqrt(17))*-2 - sqrt(272)*1 - (-1 + sqrt(204)\/(sqrt(12) + -2*sqrt(12)))) + 0)**2.\nAnswer: -10*sqrt(17) + 428","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 172 - 33. Suppose -4*g + m = 5*d, -3*d + 5*d - 3*g = 51. Does 8 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 20\/14 - 24\/56. Suppose -5*x + 4*i = -3, -i - 5 = -3*x + a. Suppose 24 = m + 2*u, -x*m + u + 39 = 2. Is m a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/t**7)**30*(t**(-38)*t)\/(t*t**(1\/28)*t*t) assuming t is positive.\nAnswer: t**(-6161\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 433361294 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -213 and -2.\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.6?  (a) 4  (b) 2\/5  (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -13*z - 1. Let g be v(-1). Is 1*4*81\/g a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) be the first derivative of m**3\/3 + 2. Suppose -3*q - 2*z = -28, 2*q + 11 = 4*z + 3. Let j(x) = 6 + 6*x + 7*x + 13*x - q. Give j(i(b)).\nAnswer: 26*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = 26*j**2 + 28*j**2 + j - 2*j. Let s be 0\/(-1) + (-2 - -3). Is p(s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) be the first derivative of -b**6\/60 - b**5\/12 + b**4\/6 + 4*b**3\/3 + 4. Let t(z) be the third derivative of m(z). Factor t(k).\nAnswer: -2*(k + 2)*(3*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 6 + -4. Let g = 7 - c. Solve 0*o = 3*w - 3*o + 6, 3*w + 22 = -g*o for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(154)\/(sqrt(7)*-1) - sqrt(1408)*-1)\/(-5*sqrt(90)\/sqrt(5)).\nAnswer: -7*sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (-528)\/(-144) - (-2)\/6 - (14 - 1)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = 2*u**3 - 46*u**2 - 2603*u + 59866. Determine r(23).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5862224468?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.143 + -1.563. Let k = -1.4263 - n. Round k to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-9)\/(-9))\/(3\/(-18)))\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -20950, -23154, -25360, -27568, -29778, -31990?\nAnswer: -34204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 74 divide 39031605?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + -4*2*(sqrt(156)\/(sqrt(12) + 5*sqrt(768)) + -1).\nAnswer: -8*sqrt(13)\/41 + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 + 27 = -4*f. Let y(r) = -r + r**2 - 1 + 1. Let o(z) = -z**2 - 3*z**2 - 4*z + 6*z - 2 + 3*z. Give f*y(k) - o(k).\nAnswer: -k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or 47\/32250?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Add together -15.312 and -0.009.\nAnswer: -15.321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 55 a factor of 27703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1, -2, 0.27, 0.082, -5 in decreasing order.\nAnswer: 0.27, 0.1, 0.082, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 839 is divided by 787?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -989, 0, 3 in descending order.\nAnswer: 3, 0, -989","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -26 + 30. What is the nearest to -0.09 in -5, l, 2\/13, 3\/7?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -522678 = -9400*b + 329824 - 119302 for b.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*i + 2328 = -7*i. Suppose 1433 = 13*h - i. List the prime factors of h.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 328883?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1280\/(-100) - -20)\/(4\/5).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12\/7 of a week in minutes?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -13*i**2 - 41*i + 44. Let r be j(-4). Solve r = 35*t + 219 + 26 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 351, 1788, 4181, 7524, 11811, 17036, 23193?\nAnswer: 30276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 87180 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = 2*b - 5. Let f be n(5). Suppose -45 = -5*c - f*z, -5*c + 0*z + 45 = -z. Calculate the remainder when 16 is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*l + 320 - 278 = 0. Sort 4, l, -2, -11 in decreasing order.\nAnswer: 4, -2, l, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 123.9 + -118.9. Let d = 1 + -2. What is the closest to d in 3, -0.5, h?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -42 - (-19 + 42 + -146).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1949 - 1981. Which is the closest to s?  (a) -2\/3  (b) -16  (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*q + 3*q = 0. Suppose 2*l = q, -3*m - 8*l + 12 = -3*l. Solve 0 = -2*o - 0 + m for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -11*a**3 - 12 + 12 + (-4*a + 3*a + 0*a)*(2*a**2 - 3*a + 3*a) + (a - a + 2*a)*(10*a - 10*a - a**2) in the form f*a**2 + r + q*a**3 + j*a and give q.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3481\/12182 + -3\/85274. Let z = 0.39 + 0.01. What is the nearest to -14 in d, -3, z, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2328 divided by 12\nAnswer: -194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 390\/(-24) + (9\/4 - 2). Let h be 75\/(-120) - (3 - (-54)\/l). Which is the third biggest value?  (a) -21  (b) 4  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 821 - 264. Suppose 13*c - m + 50 = 0. Is c at least 40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*n**3 - 3997*n**2 + 5508*n - 1503 = 0. Calculate n.\nAnswer: -501, 3\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Work out 101 + -3.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 110837 and -488.\nAnswer: -54088456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -10, -19, -18, 5, 62?\nAnswer: 165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 65354 is divided by 9301.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -25 - 8 + 190*b - 69.\nAnswer: 190*b - 102","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (64 - 107) + (55 - 0)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 401 minus -1441?\nAnswer: 1842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 47765627 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:22 AM and 6:16 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 948 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1  (b) 2\/3  (c) 442.2  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 31\/156960 and 61\/3920?\nAnswer: 7691040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 714623 is divided by 13720?\nAnswer: 1183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 412198 (base 10) in base 12?\nAnswer: 17a65a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.5  (b) 8\/9  (c) 0.3  (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 3560049 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 36\/(-132) - (-22)\/121\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 7 - 1 - 20970\/(-5). What is the second derivative of 4112*a**2 + 18 - h*a**2 - 2*a + 6*a wrt a?\nAnswer: -176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*u = 14*u - q + 35, -5 = 4*u + 3*q. Sort u, 2, -7, 3.\nAnswer: -7, u, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 80027816?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide 80 by 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand -7*t**2 - 12*t**2 + 8*t**2 - 2 - 2*t**2 + 2 + (4*t + 3*t - 6*t)*(5 - 5 + t) - 4*t**2 + 3*t**2 + 0*t**2 + (37*t + t - 15*t)*(t - t + 2*t).\nAnswer: 33*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -122 - 16 = 34*n - 70 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -4721\/3 + 1552. What is the common denominator of c and 13\/11?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.6171 + 0.2.\nAnswer: 1.8171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 46386851 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = b + 4. Let u be h(0). Let j(f) = 3*f + u - f**3 + 2*f + 4*f**2 - 3 + 6. Let t = -6 - -11. Give j(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -22 + 22.042. Let a = -0.26 + 0.16. Let f = p + a. Round f to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3211 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -2*z**3 + 1246*z**2 + z + 672. Let h(b) = -3*b**3 + 1247*b**2 + 2*b + 671. Let p(t) = 6*c(t) - 5*h(t). What is the second derivative of p(i) wrt i?\nAnswer: 18*i + 2482","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1\/9, -3\/61, -4, 16, -0.6?\nAnswer: -3\/61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -12 (base 3) to base 14.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 324 - 163 + 108*i - 161 + (0 + 1 - 3)*(2*i + 3*i - 4*i) in the form x*i + q and give x.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Are -11.6 and 23\/3727 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-468)\/117 - (1 - (1 + -3))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 433 + -4764\/11. Sort 0.02, n, 3, 7 in ascending order.\nAnswer: n, 0.02, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-144)\/60)\/(12\/(-210)*-7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 267 divide 3008825?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) be the first derivative of f**2\/2 + 2*f + 49. Let w be a(7). What is the greatest common divisor of 63 and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -c - n + 2, -4*n - 12 = 2*c. Is 100\/c + -1 + 2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 11292700*c*f**2 + 32533*c*f - 34*f - 2 wrt f.\nAnswer: 22585400*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q**(-3\/4)*q)**13\/(q*q*q**(-2\/9)*q)**(-1\/8) assuming q is positive.\nAnswer: q**(1195\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4636 and 1765157.\nAnswer: 1159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + (7 - 13 - -8 - -3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*v + 19*v + 2*v**2 - 8*v.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 517 minutes before 2:25 PM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 493704999 to the power of 1\/2, to the nearest integer?\nAnswer: 22219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Add together -268536034999 and 5.\nAnswer: -268536034994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Determine o so that -39*o**2 + 230*o**4 - 232*o**4 + 14*o + 18*o**3 + 9*o**2 = 0.\nAnswer: 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 302 - 302. Let t(h) be the second derivative of -3*h - 9\/2*h**2 + i - 1\/6*h**3. Give t(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 5*u - 6. Let i(p) = -2*p + 3. Let l(h) = 7*i(h) + 3*v(h). Give l(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(2\/3))**22\/((j*j**(-1\/4)*j)\/j*j)**(-2\/69)*(j**5*j\/j**4)**(-36) assuming j is positive.\nAnswer: j**(-2635\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/(x\/(x*x*x\/(x\/(x*x**(2\/9)))*x))*x)\/x**4*(x\/x**(-1\/5))\/x*x**(1\/7) assuming x is positive.\nAnswer: x**(493\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -10\/86931 and 79\/57954?\nAnswer: 173862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 13617000454 less than -2?\nAnswer: -13617000456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (8\/220)\/(((-87)\/(-45) + -2)*3). What is the biggest value in 10, d, 5, 2, -4\/3?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Expand (-u**3 + 4*u**3 - u**3)*(-1 - 2 + 1) + (-2*u + 0 + 0)*(3*u**2 - 5*u**2 - 2*u**2).\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-2 + 132\/9)*-6. Let t = 106 + c. Suppose 5*i + 10 = t. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 4, 0 in decreasing order.\nAnswer: 4, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-235)\/141*18\/40?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 55 divided by -11.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4 - -1. Let z be (-2)\/n*(1 + 4). Let a = 5 + z. Solve c + c = -4*y - 8, -c = -a*y - 16 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 + -12 + (-5 + -2 - -11) - -7 - 5?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -3106 + 1010?\nAnswer: -2076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 2 divided by 17152383\nAnswer: 2\/17152383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is ((4\/1)\/2)\/(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-53)\/(3922\/185)*3\/(15\/32).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 100.44 rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -25*v**3 + 3*v**2 + 5*v - 9. Let j be p(5). Let l = j - -4545. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 299.4385 millilitres in litres?\nAnswer: 0.2994385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-23*v - 23*v + 37*v)*(6 + 13 + 13)*(-2*v - v - 5*v).\nAnswer: 2304*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/(o*o**2\/o*o)*o)**(34\/5)*(o*(o\/o**(-2)*o)\/o)\/o**3*(o**(-8)\/o*o\/(o*o**(-2\/15)))**23 assuming o is positive.\nAnswer: o**(-3146\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 710?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q + 23 = -3*h, -4*h + 2 = -6*h. Let z(n) = -2*n**2 - 5*n + 2. Give z(q).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-45)\/(-80))\/((-861)\/(-1148)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10443*d**5\/2 + 83426*d**4 - 996866*d**3\/3 - 22624*d**2\/3 - 128*d\/3 = 0. Calculate d.\nAnswer: -2\/177, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 15144 - 15112.026. Let h = a - 32. Let y = -0.02502 - h. What is y rounded to 4 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (584 - -311) + -2*4\/(-1). Do n and 902 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -4 + 1004152?\nAnswer: 1004144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10984248 divided by 14472.\nAnswer: -759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -59*i - 565. Calculate the remainder when 100 is divided by r(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 130 divide 2848515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 12156983 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v\/(v\/v**(1\/2)))\/v)\/(v**2\/v) assuming v is positive.\nAnswer: v**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = j + 8. Suppose 6*n + 16 = 70. What is the units digit of m(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve f = 3*u - 2, 12*f + 4*u = 9*f + 20 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -8039.485806 rounded to the nearest 100?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 99 - 79 = 4*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a and 1 p when two letters picked without replacement from {d: 1, a: 2, p: 1, m: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -1 - 90052*x**2 + 257518*x**2 + 206261*x**2 - x. Let g be u(3). Let m = g + -1363539. Round m to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b\/b**(-1\/4)*(b**(-6\/7)*b)\/b*b**(-2\/5)*b\/(b*b\/(b\/((b**(3\/5)\/b)\/b))) assuming b is positive.\nAnswer: b**(39\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -244*f + 835. Calculate u(4).\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -879.01354 rounded to 0 decimal places?\nAnswer: -879","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -13 + 80*r - 83*r - 6. Calculate the least common multiple of 4 and u(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 60\/7 - 233\/28. Which is the biggest value?  (a) -4\/7  (b) -2  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 385 minutes after 8:58 PM?\nAnswer: 3:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 904 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -18 + 3\/(-9)*0. Let n = -13 - h. Let i(l) = -l + 6. Calculate i(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -4, 45, 5, -0.05, 15 in descending order.\nAnswer: 45, 15, 5, 1, -0.05, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2387*i**3 - 60*i**2 + 743*i**3 + 147*i**2 - 86*i**2.\nAnswer: 3130*i**3 + i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1860\/(-10044)*(-8)\/10*-3.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -62853669, -125707338, -188561007, -251414676, -314268345?\nAnswer: -377122014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*g - 0*g + 45. Let s = 14 + g. Let y(v) = -v**3 + v - v**3 + v**3 + s*v**2 + 1. What is y(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -65 - 197?\nAnswer: -262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (19 - 7 - 15 - -15) + -64.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -81.34 + 0.34. Let i = 85 + v. Suppose 3*m - 12 = -3. Which is the second biggest value?  (a) i  (b) m  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -19506*h + 72. Let b(l) = -6502*l + 27. Calculate 8*b(m) - 3*q(m).\nAnswer: 6502*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.18 - 138813?\nAnswer: -138811.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3.06 + 0.06. Which is the biggest value?  (a) p  (b) -2\/2521  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 817671 is divided by 742.\nAnswer: 729","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 7 - 2. Does 10 divide 8 + w + -4 + 1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9803*34.\nAnswer: 333302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 155 a factor of 2780700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2*y**2 + 623*y - 2364.\nAnswer: 4*y + 623","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 5055010\/(-6) + 5\/((-45)\/(-6)). Let r = 1482501 + n. What is r rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 1 - -3a?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence eege when four letters picked without replacement from {a: 4, g: 3, e: 7, c: 1, d: 2}?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from {t: 1, a: 3, v: 12}.\nAnswer: 11\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express -u**3 - 10*u**4 - 11*u - 8686*u**2 + 2 + 8686*u**2 in the form i*u + v + s*u**4 + w*u**3 + h*u**2 and give i.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1540 and 3850?\nAnswer: 7700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 4 + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -20.899733 to one dp.\nAnswer: -20.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 0 + 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = g**3 + 9*g**2 - 4*g - 17. List the prime factors of r(-9).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + (sqrt(30) + sqrt(90)\/sqrt(3)*4 - sqrt(30))\/((sqrt(10) + sqrt(90))*-5))**2.\nAnswer: 8*sqrt(3)\/5 + 403\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) be the third derivative of r**7\/70 - r**6\/120 - r**5\/30 - 4*r**2. Factor k(s).\nAnswer: s**2*(s - 1)*(3*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 234, 921, 2062, 3657, 5706, 8209, 11166?\nAnswer: 14577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -9*r + 101. Let y = 237 + -235. List the prime factors of j(y).\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 15*x**2 + 6*x - 25. Let m(h) = -8*h**2 - 3*h + 13. Give -11*m(t) - 6*y(t).\nAnswer: -2*t**2 - 3*t + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert -6489a (base 13) to base 4.\nAnswer: -230112001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -55837*k + 12154 - 105245*k**4 + 17430 + 1028*k**3 - 62155*k + 105248*k**4 + 81317*k**2 + 6060*k**2.\nAnswer: (k - 1)*(k + 172)**2*(3*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 887 + (-4 + 4)\/(-5). Suppose -5*t - z = 4*s + 308, t = 1. Round s to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 318.7 to the nearest ten.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = 32*l**3 - 16*l**2 + 17*l - 54. What is the units digit of m(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3296 divided by 1403?\nAnswer: -3296\/1403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -223.3891 - -0.4891. Let p = h - -522.3. What is p rounded to the nearest ten?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2870, 2889, 2932, 3011, 3138, 3325?\nAnswer: 3584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 5047, -4, -62 in decreasing order.\nAnswer: 5047, -4, -62","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Is 812 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 146540 is divided by 171.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find a, given that -4*a**2\/9 - 292*a\/9 - 568\/9 = 0.\nAnswer: -71, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-6\/11)\/m**(-7))**23 assuming m is positive.\nAnswer: m**(1633\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-12)\/(-21) - 9\/(-21). Let g(a) = -a + 3. Let r be g(6). Put i, 5, 4, r in descending order.\nAnswer: 5, 4, i, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 180.58 times -4\nAnswer: -722.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:11 PM and 4:55 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(-1*sqrt(45)\/(sqrt(45)\/sqrt(5)) - (1 + sqrt(245) + 1)).\nAnswer: 10 + 40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 88\/(-286)*(-10)\/(-16). Which is greater: -1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -10957786 <= -10957789?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -b**3 - 22*b**2 + b + 27. Calculate w(-22).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 502 minutes before 2:50 AM?\nAnswer: 6:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(1\/3))**(2\/29)*t**10\/t**(-2\/15) assuming t is positive.\nAnswer: t**(4418\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c - 3*w + 63 = 0, 0 = -3*c - 2*w + 15 - 75. Let r be (-3)\/6*152\/(-2). Let b = r + c. Calculate the remainder when 39 is divided by b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = i + 1, -5*v + 3*i + 28 - 10 = 0. Let c be 4\/2 + -5 - -6. Solve 0 = -d - v*d - 5*t + 17, 3*t = c for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (11*w - 7*w - 9*w)*(-55 - 43 + 40)*(-2 + 0 + 3).\nAnswer: 290*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put 15, 4\/3, 4\/2867 in decreasing order.\nAnswer: 15, 4\/3, 4\/2867","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 45.589 - -2.411. What is the closest to 2\/7 in 4, l, 5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 18171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -p + 12 = -3*w + p, 3*w + 12 = 5*p for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 14) to base 9\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -13693302*p**3 + 17811 wrt p.\nAnswer: -41079906*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -s**3 + 3*s**2 - 2*s + 1. Let h be l(2). Let x(u) = 11*u - 1. Let v be x(h). Suppose -9 - 3 = -3*a. What is the greatest common divisor of a and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = g**2 + 4*g - 16. Let d be c(-7). What is the highest common divisor of d and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 254386 and 4476.\nAnswer: 1526316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -22027 + 43231. Is 12 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 5 and -47133.\nAnswer: -235665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 0.3 times 0.0807\nAnswer: 0.02421","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2793.1 - 2790. Let j = -15 - -11.5. Let q = r + j. Which is greater: 2\/5 or q?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = 4*g - 6. Let p(a) = a - 1. Let j(s) = 6*p(s) - x(s). Let c(n) = -2*n. Determine c(j(b)).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k - m + 34 = -43, 118 = 3*k - m. Suppose k - 7 = 8*g. Solve -h = j - g*j + 4, 4*h + j - 23 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 51 divide 1264428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 44226924.\nAnswer: 2, 3, 7, 526511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 188 a factor of 654349416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-33)\/2*(413\/840 - 3\/15) and -81\/512?\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) be the first derivative of -273*o**4\/4 - 146*o**3\/3 + 241. What is the third derivative of r(l) wrt l?\nAnswer: -1638","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 0\/((-9)\/((-27)\/6)). Is -3\/37 >= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 8 - 6. Suppose -u = 6 - t. Let d be (0 - 2)\/(4 + 1). Which is the nearest to d?  (a) -1\/8  (b) -5  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.3?  (a) 0  (b) 0.1  (c) 0.4  (d) -276\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-558)\/(-324) + 2\/(-9). Which is the biggest value?  (a) 0  (b) 0.03  (c) -5\/3  (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k = 2*t - 419 - 685, k + 1 = 0. Suppose 1530 = 16*b + t. What is the greatest common factor of 183 and b?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(-1 + sqrt(1539)*4 + sqrt(1539) + (sqrt(1539) - -6*(sqrt(1539) + 3)))*-1 + 0)**2*-3.\nAnswer: -665715 - 11016*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -2*z**3 - 25*z**2 - 34*z - 9. Let r be o(-11). Let n = 3 - 2. Let m be 8\/2*n\/22. Which is the biggest value?  (a) 1\/3  (b) m  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 9, l: 1, x: 9}. Give prob of picking 1 l, 1 p, and 2 x.\nAnswer: 27\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/9, 5, -1.4, -3, 541 in ascending order.\nAnswer: -3, -1.4, -2\/9, 5, 541","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -8, 1\/4, -3, -1\/3, -0.5?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 594359 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert -13a (base 12) to base 13.\nAnswer: -118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 3 x when four letters picked without replacement from {b: 6, x: 7}?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -23\/2  (b) -126  (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m - 5*u = m - 21260, -2*u = 4*m - 17000. What is the greatest common factor of m and 360?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -43 - 0.0754293534196\nAnswer: -43.0754293534196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3 + 2*b**2 - b**2 - 1 - 3*b**2 + 4*b**2 - 3*b**2 + (-3*b + 0*b + b)*(0*b - b + 2*b) + 3*b**2 - b**2 - 3*b**2.\nAnswer: -4*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 4*n**2 + 1. Let o be b(1). Suppose -u - o*j = -3, u + 4 = j + 7. Suppose y - 66 = -g - 2*g, 0 = -2*g - u*y + 51. Does 9 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -15*a**2 + 9*a + 6. Let j(d) = 7*d**2 - 5*d - 3. Let v(c) = 9*j(c) + 4*k(c). Let b be v(4). Solve b*l = 5*l + 4*u, -3*u = 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 189803 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o = 5*x - 15, 4*o - 3*x = -o + 84. Suppose -o = 4*c - c. Let s = 6 + c. Solve r = -s - 2 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -53\/4783041 and -25\/21.\nAnswer: 33481287","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = 8*k**3 + 12*k**2 - 10*k - 14. Let i(r) = 9*r**3 + 13*r**2 - 10*r - 13. Let o(g) = 7*i(g) - 8*j(g). Calculate o(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-1 + 1 - j)*(1 + 2 - 2) - 2*j - 2 + 2)*(95 - 2*j - 95).\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = 3*y**2 + 1. Let b be d(1). Suppose -5*n = -4*u - 46, 0 = -2*n - b*u + 20 + 4. Calculate the least common multiple of n and 102.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 divided by -3149?\nAnswer: -1\/3149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 3*o + 4 = s, -4*o = 0. Suppose -2*t = -n - 4, s*t + 1 - 21 = 5*n. Suppose 0 = 4*p - t*p - 148. What is the remainder when p is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = n**3 - 45*n**2 + 429*n - 131. Let v be p(13). Let m(q) = -q - 3. Let b be m(-5). What is the highest common divisor of b and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.01 - 0.07. Let q = 4.08 + d. Which is the nearest to 0?  (a) 0.1  (b) 0  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 3*s = 9, 5*b + 1 = -5*s + 6. Let l be (7\/(-21))\/(b\/9). Let g = 611\/23835 + 2\/681. Is l greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10549*c**2 - 5275*c**2 - 5278*c**2.\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*a - s + 288 - 274 = 0, 5 = -2*a - 3*s - 8*s for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -2378 + 8631?\nAnswer: 6242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Are -43290 and -43292 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 63 minutes after 5:56 AM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 31\/261 + 3\/29. Sort v, 2\/41, -1\/2 in descending order.\nAnswer: v, 2\/41, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (27\/18)\/((-11)\/((-1760)\/(-24))).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:32 AM and 7:07 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -2*r - 14. Give b(-14).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/(q*(q*q\/(q**(-2)*q))\/q))\/(q**(-12)\/q)*(q*q*q*q\/(q\/((q\/(q\/(q\/q**26)*q))\/q)))\/q*q**(-1\/11) assuming q is positive.\nAnswer: q**(-155\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put together 4456575 and 6.\nAnswer: 4456581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -j**3 - 5*j**2 - j - 2. Let w be d(-5). Let h = 0 + w. Calculate the greatest common factor of 15 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-1)\/((-5)\/7 + 6\/(-21)). Suppose 3*s - 10 = -c. Solve s = j - 2 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.7 and 0.23935?\nAnswer: -0.167545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -n - 1. Let a(l) = l**2 + 5. Let o be 2\/5 - 2\/(-5)*-11. Let p be a(o). Let s = -23 + p. Let c(x) = 2*x**3 - 14*x - 14. Give s*c(d) + 28*t(d).\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(1\/4)\/p*p)**(-9\/8)\/(p*(p*p**(-7\/2)*p*p*p*p)\/p*p*(p**30\/p)\/p) assuming p is positive.\nAnswer: p**(-985\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -53, -348, -1123, -2618, -5073, -8728, -13823?\nAnswer: -20598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2623, -2563, -2519, -2497, -2503, -2543, -2623?\nAnswer: -2749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 31 - 30. Suppose 3*q = -t + 2, -5*t - 7 = -q - q. Calculate the remainder when n is divided by (4 - 2) + (0 - q).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 25 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n + 3*n = -356. Let b = -87 - n. Suppose 3*f + 5*p - 8*p = -6, -3*f - 2*p - 1 = 0. Put 5, 1, b, f in ascending order.\nAnswer: f, 1, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 37998.27 millennia?\nAnswer: 37998270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 719359 + 3*w - 719359.\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = 3*j + j**3 - j**3 + 1 - j**3 + j**2. Let q(x) = 4*x - 1. Let u(f) = -17*f + 4. Let m(d) = 9*q(d) + 2*u(d). Let l be m(2). Calculate r(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -127682, -127690, -127688, -127670, -127630, -127562, -127460?\nAnswer: -127318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -547 - -546.98843. What is b rounded to three decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 321 divide 902370111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 10027, -2985, -15997, -29009?\nAnswer: -42021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-9)\/(-3)*42\/18. Suppose 0 = d*s + 5 - 19. Suppose -5*f + y + 33 + 2 = 0, f + 4 = -s*y. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 614*j**2 - 1602*j**2 + j**3 + 2*j**3.\nAnswer: 3*j**3 - 988*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 33.1 + -33. Let b = -6 - -3. Sort g, b, -0.4.\nAnswer: b, -0.4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -35505 (base 7) to base 11.\nAnswer: -6985","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*s + 1748 = -5308. Let v = s - -432. Calculate the highest common divisor of v and 112.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1\/((6\/(-14))\/(-3)). Let p be ((-9)\/j)\/((-70)\/49). Which is bigger: p or 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 21 - 11. Let b be -3*(-5 - (-5 - -1) - -2). Put 5, b, m in decreasing order.\nAnswer: m, 5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -4, 11, 1 in ascending order.\nAnswer: -4, -1, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 5051061139 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32*z + 216*z - 1555806 = 10*z. What is the thousands digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 642632890?\nAnswer: 2, 5, 64263289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -37*o**3 - o**2 + 5*o - 4. Calculate w(1).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 3 = -k, 5*k = -7*a + 2*a - 15. Let w(j) = -j - 5. Let r be w(k). Suppose 3*b - 8 - 52 = r. Solve 3*z - b = -z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4149531.\nAnswer: 3, 461059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 672 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -t**3 - t**2 + 2*t + 2. Calculate the remainder when 25 is divided by o(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 43 divided by 12198124\nAnswer: 43\/12198124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*f + f + 28 = f - 8*f + 3*t, 0*f + 7*t = -3*f + 16 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -x**2 + 3*x**2 - 8*x**3 - 11*x**3. Let h be a(2). Is -5*(h\/(-15))\/(-4) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1148 in -4\/7, 0.05, 5\/3, -0.14?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = o**3 - 9*o**2 - 2*o + 18. Let g be t(9). Let s(i) = i**2 - 3. Determine s(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 21, 51, 117, 237, 429, 711, 1101?\nAnswer: 1617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 6860805 a multiple of 580?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 115803, 116588, 117373, 118158, 118943?\nAnswer: 119728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 5 - (-3 + 5 + -1). Suppose 0 = b*j - 0*j - 88. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 196923643, 393847285, 590770927, 787694569?\nAnswer: 984618211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1429.5286 * -0.03.\nAnswer: -42.885858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -10959.000797 to the nearest ten.\nAnswer: -10960","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (0 - 5\/20)*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -10.8 - -10. Let u = 0.6 + a. Let z = -4.23 + 4.17. Which is smaller: u or z?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 0 + -b4?\nAnswer: -b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 263, 524, 785?\n\"Answer: 261*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -6*m + 3. Let q(x) = 5*x + 1. Let n be q(3). Suppose 54*a - 58*a = -n. Give j(a).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0986 to 2 dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 82 divide 29074986?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1508\/3 - 12259\/24. Calculate the common denominator of (-185)\/(-318) - 3\/(-9) and s.\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2753?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (1\/(-3))\/((-64)\/(-384))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 961?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -11 + 13. Suppose -h = -5*u - 777, 2*h - 5*h = -x*u - 316. Let y = u + 251. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*v**4 - 54*v**3 + 2*v**2 + 54*v.\nAnswer: -2*v*(v - 1)*(v + 1)*(v + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = 3*s. Let p be n(9). Suppose 3*w - i = 2*i + 6, -p = -w - 4*i. Suppose 15*z = w*z + 704. Calculate the highest common divisor of 11 and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l - 2*l = 12. Suppose -11*z = -l*z - 112. Suppose -z = 4*r - 64. Solve 2*b + 2*y = r, 0*y - 9 = -4*b + y for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1\/(-4) + (-1701)\/(-84). Suppose 2 = -b + 26. Suppose 3*w + w - b = 0. Solve -2*y + w*y - h = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 2*l**2 - l - 9. Let r be u(0). Let c(g) = -g**2 - 10*g + 5. Calculate the remainder when 2\/6*(123 + r) is divided by c(-9).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (24 - 11 - 16)*(-t + 2*t - 2*t + 0*t + 3*t - 5*t + t - 2*t + 2*t - t + 2*t + t + (-3*t + 4*t - 3*t)*(-1 + 2 - 3) + 3*t + t - 2*t + t + 0*t - 3*t).\nAnswer: -12*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2252836*d**3*i**3 + 30826*d**3 + 32*d**2*i + d**2 + 7*d*i**3 + 10*d*i - 1 wrt i.\nAnswer: -13517016*d**3*i + 42*d*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 9*s**2 + 18*s + 8. Let h(z) = 3*z**2 + 6*z + 3. Let r(a) = -8*h(a) + 3*m(a). Suppose r(y) = 0. What is y?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 33415 (base 7) to base 10.\nAnswer: 8440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-7 - -5)\/((-2)\/(-22)). Let o(p) = -10*p - 215. Let u be o(d). Solve 2*k = -u + 15 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1  (b) 8  (c) -7\/54  (d) 0.2  (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 120 minutes before 5:52 AM?\nAnswer: 3:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -283 = -52*u - 127. Solve u*n + 7*j + 1 = 3*j, -4*n - 10 = j for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 5*u**2 - u - 3. Determine v(3).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 22032 and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*g - 1 + 3*g - 5*g)*(7*g**2 - 13*g + 13*g).\nAnswer: -14*g**3 - 7*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/(-23*39\/(-690)).\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q = -4*t + 2*t - 30, 0 = -2*t - 10. Suppose 20 = -2*c - 2*p + 7*p, p = c + q. Solve -4*v = -c*v + 16 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -10 - -20. Suppose -27 = 7*v - 2*v - a, -4*a = 3*v + 7. Let y(i) = i**2 - 7. Calculate the lowest common multiple of c and y(v).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 15, g: 3}. What is prob of picking 1 i and 3 g?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/5, 0.1, -6, -3, -0.07 in descending order.\nAnswer: 2\/5, 0.1, -0.07, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, 1, -4.\nAnswer: -8, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = 4*b**2 - 16*b - 35. Let s be d(6). Solve -3*z = -s + 28 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3 + 10. Let i(d) = -d + 9. Let m be i(p). Let z be (1854\/(-360) + 5)\/((-1)\/4). Put z, m, -2 in decreasing order.\nAnswer: m, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 3 w when four letters picked without replacement from {w: 17, e: 2}.\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1  (b) 20  (c) -177\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -84166802 and -9?\nAnswer: 757501218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 583 minutes after 2:16 PM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2123*n**3 - 3*n**2 + 2112*n**3 + 2*n**2.\nAnswer: -11*n**3 - n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 42120779?\nAnswer: 43, 979553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -127?  (a) 8  (b) 2  (c) 0  (d) -7573\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 10 - 24*a**2 + 22*a**2 + 16*a + 0*a**2 to n*a + d*a**2 + s and give s.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6 = 4*z + 5*m + 11, 0 = 5*z - 5*m - 50 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + (-6 - (4 + -1)) + 1522 + -1508?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5097684 is divided by 728232.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -260 divided by -260.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3\/(-6))\/(2\/((-4)\/7))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 724 + -724. Suppose 2*k = -2*k + 20. Put k, -3, o in decreasing order.\nAnswer: k, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -25\/2  (b) -4\/5  (c) 0.6105\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8*p + 0*p + 2*p - 17*p to k + x*p and give x.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 119 - 647 = 48*x for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*t**3 - 80*t**2 - 76*t**2 + 156*t**2.\nAnswer: -7*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b + 46 = s - 3*b, -5*s + 243 = 3*b. What is the common denominator of s and 26\/40*(6 - 0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*f = -12*f - 185. Let p = -39 - f. Let h(g) = -3*g**3 - 6*g**2 - 2*g + 1. Let k be h(p). Solve j = 5*u - 12, -5*j - 8 = -k*u + 12 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 223?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 12*z - 22. Let r be q(2). Let g(n) = -4*n**3 + 3*n**2 - 6. Let f(i) = -3*i**3 + 2*i**2 - 5. Determine r*g(u) - 3*f(u).\nAnswer: u**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2*(1 + 3\/(-6)). Let i = 108 - 111. What is the units digit of u - 0 - (i + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 92745 is divided by 158?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -2519, -2535, -2563, -2609, -2679, -2779?\n\"Answer: -n**3 - 9*n - 2509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-1\/3)*a\/(((a\/(a\/a**(-1\/4)))\/a)\/a))**(-35)*a\/(a**(-1\/3)*a)*a**(-6)*a*a**(-1\/2)*a**(2\/13) assuming a is positive.\nAnswer: a**(-5569\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + (2 - -2 - 8) - 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = m**3 + 14*m**2 + 25*m + 3. What are the prime factors of r(-8)?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*z + 19 = -12*z + 3*q, -2*z - 2 = -4*q for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -6\/5, 1\/2, -0.2, 106, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23*i + 949 = 811 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 1276677.43 to the nearest 10000.\nAnswer: 1280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.18310014 rounded to three decimal places?\nAnswer: 0.183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -11\/18 - -5\/6. Which is the nearest to 1?  (a) 0.1  (b) q  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 519, -0.5, 1\/3, 16947 in decreasing order.\nAnswer: 16947, 519, 1\/3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -f**3 + 5*f**2 - f - 1. Let z be g(4). Let n be (-1 + z)*40\/50. Let x = 12 - n. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qy when two letters picked without replacement from yyqqqqqqqq.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 474.5 to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28472 = -1000*d + 996*d. Is -7118 at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 430 is divided by 190.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 11.3 and 4385108437?\nAnswer: 4385108425.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = s - 3. Let q be z(8). Suppose -i = 2*i - 5*k - 8, 0 = -2*i + q*k + 7. What is the common denominator of 102\/(-20) - 3 - i and 2\/5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-36*96\/(-1296))\/(1\/1*2)*-18?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4*g*i*n*z**2 - 3*g*i*n - g*i*z**3 - 2*g*i*z + 3*i*n*z**3 - 2*i*n*z**2 + i*z**2 + 2*z**3 wrt z?\nAnswer: -6*g*i + 18*i*n + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 0.05  (b) -2\/7  (c) 3\/7  (d) 0.123  (e) 0.3  (f) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 983?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - 4 = 2*l, c + 3*c + 2*l = -18. Is (391\/c)\/(3\/(-6)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1806502549?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Determine o so that 7*o**4 + 33*o**3 - 17*o**2 - 33*o + 10 = 0.\nAnswer: -5, -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 56735226 to the nearest integer?\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 10 and (-20 + 0)\/(14\/(-7))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 284201 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 4*z + 6. Let h(b) = -3*b - 4. Let x(m) = 23*m + 31. Let u(j) = 6*h(j) + x(j). What is 3*u(a) - 4*w(a)?\nAnswer: -a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express 6*j + 18672 - 15*j - 7*j - 13*j - 18716 as i + r*j and give r.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 20341150 and 6450?\nAnswer: 2150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 102*l - 87*l = 135 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from ururuuuruuurur?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/37090571 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.085 and -0.4?\nAnswer: 0.315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 20\/4*(-64)\/(-20). What is the units digit of (8 - 168\/l)*-202?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2 - 2.5. Let b = 1229 - 1237. What is the nearest to -1\/2 in i, b, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -11241\/4 + 2811. Which is the smallest value?  (a) g  (b) -0.2  (c) 0.5  (d) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -8 - 2*q + 4 + 3*q. Let l be v(6). Suppose 2*b + l*b = 60. Calculate the remainder when 44 is divided by b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2212*q**4 + 0*q**3 - 349*q + 2392*q**4 + 0*q**3 wrt q?\nAnswer: 2160*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 32296388087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -1. Let t(y) = 3*y - 13. Let o(r) = -f(r) + t(r). Let d be o(5). Solve 7 = -a - 4*k, -5 + d = 2*a + 2*k for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((o\/((o**(2\/9)*o)\/o))\/(o**(3\/5)*o))**(3\/4))**(-2\/43))**(-12) assuming o is positive.\nAnswer: o**(-74\/215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*(-1484)\/784*-7*1\/((-2)\/(-8)).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) -1  (b) -4  (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1, 16, 57, 136, 265?\nAnswer: 456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 791312 in 2\/5, 0.1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -59*f - 2264 - 1828 = 282*f for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor w**3 - 10*w**2 - 325*w - 1250.\nAnswer: (w - 25)*(w + 5)*(w + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 209 minutes after 8:11 PM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 2587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = 7454*c**2 - 2484*c**2 - 2485*c**2 - 2484*c**2. Let h(y) = -10*y**2 + 100. Calculate h(v(n)).\nAnswer: -10*n**4 + 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 196668 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -12.2 - 1.8. Let o = -24 - f. Which is smaller: o or 2\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-28 + 28 - 9*a)*(14 + 12 - 23)*((-1 + 1 - a**2)*(1 + 1 - 1) + 2*a - 3*a + 0 - 2*a**2 - 2).\nAnswer: 81*a**3 + 27*a**2 + 54*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -p**2 - 7*p + 33. Let q be a(-10). Suppose 6*y = 7*y, 0 = -5*x - q*y + 1510. Which is bigger: x or -2\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2033249 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 376\/752*(1 + -1 - 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 227750067 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = 54257*f**2. Let j(a) = 2*a. Calculate j(r(h)).\nAnswer: 108514*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 36241526.\nAnswer: 2, 4159, 4357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = 27*v - 1 - 5*v - 13*v + 0 + 3*v. Suppose -4*i = i - 5. Calculate m(i).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -x**3 + 9*x**2 - 13*x - 12. Let s be k(6). What is the greatest common divisor of s and 162?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 568 minutes after 6:56 PM?\nAnswer: 4:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-88)\/(-55))\/(2\/55 - 0). Let g = o + -40. Suppose 0 = -4*p + g*b + 9 + 3, -2*p + 26 = 3*b. What is the highest common factor of p and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 137699 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g - y + 0*y + 168 = 0, 2*g - 84 = 4*y. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2379 is divided by 360?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 477.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 27200011 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (sqrt(20)\/(sqrt(2592)\/sqrt(8)) - (1 + (sqrt(5)*-5*2)**2)).\nAnswer: -505 + sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 229 - 1125 = 110*l + 754 for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 234, 187, 126, 45, -62, -201, -378, -599?\n\"Answer: -i**3 - i**2 - 37*i + 273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 2*b**2 - 3. Let p(x) = -53 + x**2 - 2*x**2 + 54. Give 3*p(g) + q(g).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 4160  (b) 2\/11  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -5, -1, -4.\nAnswer: -5, -4, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 3 + (2 - (-1 - -4)). Suppose -5 = x*c - 11. Solve -c*k = -5*w + 34, 6 = w - 2*k - 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -7.723 to one decimal place.\nAnswer: -7.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -180 + 281. Calculate the remainder when k is divided by 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 161 divide 527114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5321600 (base 7) to base 5.\nAnswer: 131102410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 55*h**3 + 2*h**2 - 53*h**3 + h - 6*h**2 + 1 to the form j*h**3 + a*h**2 + c + n*h and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 2, 17, -4.\nAnswer: -4, 2, 3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ddd when three letters picked without replacement from ddddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 12 + 0. List the prime factors of 3\/i - (-1338)\/24.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5379*0.5\nAnswer: 2689.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 22*w**3 - 5862*w - 5867*w + 17594*w - 5865*w.\nAnswer: 22*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/7, -5\/3, 123, 1\/4, 19, 4 in decreasing order.\nAnswer: 123, 19, 4, 2\/7, 1\/4, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 21 + -13. Let g be 18\/8 + (-2)\/d. Suppose v = 4*h - 41, 4*v + 2 + 8 = g*h. Let z(p) = 14*p + 14. Let i(b) = -5*b - 5. Determine h*i(s) + 4*z(s).\nAnswer: s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is -124 at least as big as -3.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 511 + -825. Let w = l - -315. Is w equal to -114\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -58459*u + 8*f = -58454*u - 31, -2*f = -u + 7 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m + r = -4, 10 + 10 = 5*r. What is the highest common factor of m and 75?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1727214 is divided by 8344.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17240 is divided by 1436?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:50 AM and 5:42 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) be the first derivative of 3*c**6\/10 + 3*c**5\/10 - 2*c - 6. Let u(g) be the first derivative of v(g). Factor u(h).\nAnswer: 3*h**3*(3*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 169 divide 100710?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (((-1*1*sqrt(2736) + 4)*-2)**2 - (-2*(sqrt(2736) + -2*sqrt(2736) + sqrt(2736) - sqrt(2736)) + sqrt(2736) + (sqrt(2736) + 1 + -2)**2)).\nAnswer: -396*sqrt(19) + 8276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 268000 to the nearest ten thousand.\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -47 - -184. Find the third derivative of -4*i**2 - 24*i + 0*i**2 + q*i**5 + 7*i + 16*i wrt i.\nAnswer: 8220*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 0.1, 16, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = g**2 + 3*g + 3. Let q be (-1 + 3\/(-6))*2. Let x be a(q). What is the second derivative of -o + o**3 + 3*o - x*o wrt o?\nAnswer: 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (3 - 4)\/((-2)\/6). Let o be (-12)\/9*(-6)\/4. Suppose 4*d + h + 5 = -z, 0 = -o*d - 6. Solve -x = -z*x - 12 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18358 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -345002c (base 13) to base 4\nAnswer: -331130232122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1 + -1123?\nAnswer: -1124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -5*g*s**3*w**2 + g*s**2*w**2 - 45*g*s + 5*g*w + 2*s**4 + 3625*s**3*w**2 + 2*s**2*w**2 - 5*s**2 wrt s.\nAnswer: -30*g*w**2 + 48*s + 21750*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-w + 3*w - 3*w)*(2 + 41*w - 74*w - 17*w**2 + 31*w).\nAnswer: 17*w**3 + 2*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 895\/13 + -69. Sort -0.0654, -2\/25, k in increasing order.\nAnswer: k, -2\/25, -0.0654","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7965781 to the power of 1\/3, to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -6 - 15*v**2 + 10*v + 17*v + 4 + v**3 - 9. Let z be s(13). Find the second derivative of -2658 + 7*h + 2658 - h**z wrt h.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -38*v**2 - v - 8. Let n(i) = -77*i**2 - 2*i - 19. Let t(a) = 3*n(a) - 7*o(a). Calculate t(1).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -2*q. Let m(f) = f**3 + 5*f**2 + 2*f - 3. Let t be m(-4). Let b(z) = 1. Let w = 1 + 0. Let g be (-2)\/(-4)*2*w. Determine g*k(p) + t*b(p).\nAnswer: -2*p + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 16814902 to the nearest integer?\nAnswer: 4101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (16\/4)\/16*-12.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.1634, -4, -9 in decreasing order.\nAnswer: -0.1634, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 divided by -5860868?\nAnswer: 1\/1465217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 58 - 55. Let m(x) be the first derivative of 2*x**3\/3 - 2*x**2 - 6*x + 4. Let h be m(f). Which is the nearest to h?  (a) -2\/5  (b) -4  (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -21*q**3 + 3*q**2 + 21*q**3 - 8*q**5 wrt q?\nAnswer: -480*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -22413 - -22413.26238. Let o = 0.274 - v. What is o rounded to four decimal places?\nAnswer: 0.0116","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c\/(c**(-2)*c)*c**(-1\/2)*c*c**(-6)*c*c**(-1\/4)\/c*(c*c\/c**(-1\/3)*c*c**(-2\/17))**(-3\/5) assuming c is positive.\nAnswer: c**(-1931\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 199431, 199437, 199443, 199449, 199455?\nAnswer: 199461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in -2, -4\/7, 12111, -1, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 388112 + 48*g - 387674 + 97*g. Calculate z(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1250\/625*(-6)\/(-14).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -15*m**2 - 20163*m - 342366.\nAnswer: -3*(m + 1327)*(5*m + 86)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1409*q**3 + 1282*q**3 - 932*q**3 + 900*q**3.\nAnswer: 2659*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -4*d**2 - 6*d + 3. Let a(m) = 7*m**2 + 11*m - 5. Let l(b) = b**2 + 11*b + 24. Let p be l(-5). Calculate p*a(z) - 11*v(z).\nAnswer: 2*z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -3 + 2*z + 2*z**3 + 2 - 2. Let y = -16164 + 16166. What is the tens digit of l(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 634567 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -28\/11 in -0.4, 3\/10, -0.3, 3, 0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 - 1 + 3)*(-2*j + j - 2*j)*(-70 - 51 + 46) in the form x + t*j and give t.\nAnswer: 450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 17594942 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = 12949*d**2 + 17*d + 3. Let q(n) = 2*n**2 - 1. Let b(v) = m(v) + 2*q(v). Is b(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 363090571 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g - 345 = -7*g. Suppose -57 = -2*n + g. Let w = 886 - 864. Calculate the remainder when n is divided by w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v = -3*r + 5, -3*v + 4*r = 3*r + 15. Find the common denominator of 41\/9 and ((-18)\/v)\/((-56)\/80).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -832 = -3434*f + 3418*f. What is the highest common divisor of f and 221?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -849, -852, -857, -864?\nAnswer: -873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -84 - -191. Let k be 1\/7 - ((-741)\/(-91) + -8). Suppose k = 5*g + 37 - a. Is g a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 630\/4 - (-1)\/(-2) is divided by 291\/776 + (375\/24)\/1?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + ((-5*-2*sqrt(637) + -6*(-1 + sqrt(637)) - (1 + (sqrt(637) + -1 - sqrt(637)) + -4 + -1 + sqrt(637)))*5)**2.\nAnswer: 11550*sqrt(13) + 146351","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = 23*x. Let d = 6 - 3. Let q(z) = 4*z - 90. Let k be q(23). Let a(n) = n + n**2 + k*n - d*n. Give o(a(w)).\nAnswer: 23*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) be the first derivative of y**4 - 4*y**3\/3 - y**2\/2 + 3*y + 3. Is n(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -2 times -272232826\nAnswer: 544465652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1.0021 - 3.0021. What is the closest to w in 0.2, 0.1, -1594?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c - 10 + 18 = 0. Calculate the remainder when c + (-6068)\/(-60) - (-8)\/(-60) is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -64 - ((-7074)\/243 - 36).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 52055?\nAnswer: 5, 29, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -t**2 + t - 1. Let p be d(0). Let n = p - 3. Let f be 68\/56 - n\/14. Is 3 greater than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 9637.00018812 - 9637. Round q to 5 dps.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28*u**5 - 356*u**4 + 3044*u**3 - 5628*u**2 + 1368*u = 0.\nAnswer: -19, 0, 2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (1\/1 - -2) + -11. Let s be (-2)\/w + (-20)\/16. Let t(g) be the first derivative of g**4\/2 - g**3\/3 - g**2 - g + 2183. What is t(s)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2422*d**3 + 12473*d**2 + 187671921*d wrt d.\nAnswer: 14532*d + 24946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.0369 - 0.061. Let b = r - -0.03123. Round b to 4 decimal places.\nAnswer: 0.0071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 224 is divided by 90.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 5\/15*1 + (-265)\/(-15). What is the highest common factor of z and 171?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8467 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**(-1)*z*z*z**(-13\/2) assuming z is positive.\nAnswer: z**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16332228 divided by 1.\nAnswer: 16332228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 3\/5  (b) 5  (c) 2  (d) 4\/15  (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) -299286  (b) -4  (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -158 + 158.4. Let g = 0.235 + -0.035. Which is the third smallest value?  (a) g  (b) 0.1  (c) -3  (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2923703 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 hundreds digit of 452435?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = 2*r + 5. Let o(z) = 0*z + z**2 - 4*z + 2*z - 1 + z**3. What is o(r)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 547\/40 - 69\/5. What is the closest to 1 in 1, 3, f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -c**3 + 4*c**2 + 11*c - 12. Let g be b(5). Suppose 17*p + 16 = g*p. Calculate the remainder when 42 is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -154 + 160. Solve d + 2*u = 5, -u + 7 = n*d - d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/5 of a millennium in years?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = r**3 - 9*r**2 + 16*r + 14. Let b be n(5). Let q(m) = -3*m - 8*m - 5*m - 4. Let i be q(b). Round i to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -116, -36, 46, 130, 216, 304, 394?\n\"Answer: d**2 + 77*d - 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 24\/(-18)*(-4)\/(-32)*-30\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -651, -2377, -5267, -9333, -14587, -21041, -28707?\nAnswer: -37597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 65*x - 4 - 99*x + 6 as m + r*x and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*u**4 + 100*u**3 + 670*u**2 + 1700*u + 1125.\nAnswer: 5*(u + 1)*(u + 5)**2*(u + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a\/a**(-2)*a**8 assuming a is positive.\nAnswer: a**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*t + 8. Suppose -t*x - 12 = -7*z + 2*z, -14 = -5*z + 4*x. Suppose -z*w = w - 162. Calculate the greatest common factor of w and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 92 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -4*h**3 + 74*h**2 + 2*h + 19. Let q(z) = 9*z**3 - 152*z**2 - 5*z - 40. Calculate -5*b(v) - 2*q(v).\nAnswer: 2*v**3 - 66*v**2 - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (1\/((-3)\/(-619)))\/(7\/(-21)). Let u = y - -867. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1.034 times -4\nAnswer: -4.136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*s**4\/2 - 177246*s**3 + 5235669582*s**2 + 20944805328*s + 20945514336.\nAnswer: 3*(s - 59084)**2*(s + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) be the first derivative of -12593*a**2\/2 + 2255*a + 739. Differentiate d(r) with respect to r.\nAnswer: -12593","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 98695500 and 570.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express 3682 + 6082 + 2992 + 9182 + o**3 - 38631 + (4 - 4 + 2*o**3)*(3 - 1 - 1) in the form s*o**2 + p + w*o + h*o**3 and give p.\nAnswer: -16693","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 5*t. Let p(u) = -3*u - 2. Let b(k) = -5*k - 3. Let f(m) = -2*b(m) + 3*p(m). Give f(n(s)).\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1175, -1176, -1177, -1178, -1179?\nAnswer: -1180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1372*j - 686*j + 57*j**2 - 685*j.\nAnswer: 57*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 858164 greater than 858163?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39*j = -35*j + 12, -2*l - 3*j + 8989 = 0. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a = -3*l - 19, -5*l + 2 + 8 = 0. Suppose -2*j + 114 = a*g - 4*g, -2*g = -8. Let y = 208 + j. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -2*1\/(-1) - 9. Which is the biggest value?  (a) 1  (b) -4  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 22410676 (base 8) in base 11?\nAnswer: 2816045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(-2))**(31\/4)*(r\/(r\/(r\/(r**4*r))))**(3\/7))**(-2\/3) assuming r is positive.\nAnswer: r**(241\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Are -108736705 and -108736702 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -3148.811 to the nearest integer.\nAnswer: -3149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 0.2881416t?\nAnswer: 288141600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1967)\/1686*((-20)\/(-25))\/(14\/5).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 200 - 13*d**3 + 4*d**3 + 7*d**3 + 3*d**3 - d**3 + 0*d**3 - d**3 + 2*d**3 - 2*d**3 + (d - 3*d + 3*d)*(d**2 + 4*d**2 - 6*d**2) + 0*d**3 - 4*d**3 + 3*d**3.\nAnswer: -3*d**3 + 200","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) be the third derivative of -k**4\/12 - 7*k**3\/2 + 6*k**2. Let j be a(-12). Solve -2*c - 2*c - 8 = 0, c + 11 = j*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -w + 21*w**3 + 0*w**3 + w.\nAnswer: 21*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t*t*t**8\/t)\/(t\/t**4))\/(t\/(t\/(t*t\/t**(-1\/3)*t)))**(1\/20))**(-50) assuming t is positive.\nAnswer: t**(-1775\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -8465*q**6 + 10*q**5 - 7*q**2 - 3876 wrt q.\nAnswer: -1015800*q**3 + 600*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1164 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -6*n - 37. Calculate j(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-35)\/(-14)*(-12480)\/2400?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*q**2 + 16*q**3 + 127 - 127)*(0*q**2 - 2*q**2 + q**2).\nAnswer: -16*q**5 - 2*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 1, x: 1, d: 1, u: 2}. What is prob of picking 1 k, 1 u, and 1 x?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -60703, -59910, -59143, -58414, -57735, -57118, -56575, -56118?\nAnswer: -55759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-7)\/(-6) - 2\/4. Let b = 40 - 39. Sort d, -1\/7, b.\nAnswer: -1\/7, d, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.5?  (a) 77  (b) -1\/3  (c) -99  (d) 1  (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.02866801 and 3.\nAnswer: -0.08600403","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 9 = -y. Let z = 13 - y. Factor 2*h**3 + 0*h**2 - 5*h**2 + z*h**2 - h**4.\nAnswer: -h**2*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (1 + -8)*-5*(-304)\/(-40). Suppose -8*d - 30*d + u = 0. Solve -23 = d*a + 5 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1493912?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 361903 is divided by 36.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 75\/(((-530)\/(-424))\/((-4)\/8)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -y**3 + 10*y**2 + 5*y - 17. Let k be b(11). Let g = k - -104. Is g a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -250, -246, -240, -232, -222, -210, -196?\n\"Answer: a**2 + a - 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 39 a factor of 8580429?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide 15911 by 36.\nAnswer: 15911\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -l - 1. Let q(r) = 2*r - 5. Give -q(j) - s(j).\nAnswer: -j + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-10)\/(-12) + (-1)\/2. Let i = 4.2 + -4.2. What is the second smallest value in -1\/7, i, f?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -5 - -7. Suppose 3*b = 4*b - 5*z + 26, 0 = y*b + 4*z - 18. What is the common denominator of (-11)\/(-16) + 1*b and 7\/2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 93869\/11 + -8665. Which is bigger: -132 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 180 and 396.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 694 + -697. What is the biggest value in 0.9, -6, -0.4, l?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -20 + 16. Let s be (-156)\/(-42) - d\/14. Suppose u - 13 + 2 = -5*z, 33 = 3*u - s*z. What is the least common multiple of 4 and u?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -6\/299 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -11721965, -23443922, -35165879?\n\"Answer: -11721957*l - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -43 - -44. Suppose -2*c + 5 = t. What is the smallest common multiple of c and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - g**2 - 6*g + 6*g)*(-4*g**3 + 4*g**3 - g**3) + (-2*g - 8*g + 3*g)*(g**3 - g**3 + 2*g**4) - 3*g**5 + 4*g**5 + 3*g**5.\nAnswer: -9*g**5 + g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 14150 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1859 and 1183?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*x + 26 = -7*k + 11*k, -3*x = k - 19 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 + (-28 - -8 - -12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.2 - 0. Let d(f) = f**2 + 3*f + 2. Let r be d(-2). Let a = r - 0. Is a equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 6, v: 4, s: 9}. Give prob of picking 3 v and 1 s.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in twenty-seven halves of a millisecond?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -9 - -4. Let l(g) = g**2 + g - 2. Let w be l(2). Suppose 18 = -2*h - 3*m + m, 4*h - 4 = w*m. Is h not equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-z + 0 + 0 + (0*z + 2*z - z)*(5 - 3 + 0) - 3*z - z + 3*z - 8*z + 44 - 44)*(-z + z - z).\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7552 divided by 73.\nAnswer: 7552\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 235749?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand 9*d**2 - 10*d**2 + 33*d**2 + (-d + 0*d + 0*d)*(4*d - d + 3*d).\nAnswer: 26*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o - 30 = -5*r, o = 3*r - 3*o - 32. Suppose -r*b = 5*v - 39, 2*b - 2*v - 35 = -b. Suppose -2*w + 6*j = j + b, j - 33 = -4*w. Is 6 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 != 740\/133?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, -5, -2, -136, -4118 in increasing order.\nAnswer: -4118, -136, -5, -2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*o = 4*o + 120. Let r = -29 + o. Sort -4, 2, r in ascending order.\nAnswer: r, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -be + 5?\nAnswer: -b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 54571163 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1\/2 + (-26)\/(-4). Solve -r*l - 8 = -3*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 108\/1323*-7*(-63)\/(-162)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (26106\/9)\/(30\/90).\nAnswer: 2, 19, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v + 3*v = 1680. Let n = -3414 - -13727\/4. Find the common denominator of (v\/4)\/(-12 - -6) - -3 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1956 is divided by 697?\nAnswer: 562","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -15  (b) 5  (c) 1  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:33 PM and 9:57 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j + 31792 = -8*j. Let x = -331 - j. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b + 1694 = 2*n, -14*b - 2*n - 3376 = -16*b. Let h = b + -1688. Factor 9\/2*c**3 - 21\/2*c - 3*c**h - 3.\nAnswer: 3*(c - 2)*(c + 1)*(3*c + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 96 and 206.\nAnswer: 9888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (sqrt(2) + -1 + sqrt(162))**2 + -3 + (sqrt(12)\/sqrt(6)*-5)**2*-3.\nAnswer: -20*sqrt(2) + 43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -y - 6. Let c be a(-8). Suppose -4*f = 2*w + 10, -3*f - 14 = c*f + 4*w. Let j be f\/5 - 28\/(-20). Is j < 2\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*i**2 - 52135*i + 10577700.\nAnswer: 5*(i - 10220)*(i - 207)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 125 = 5*w - 135. Suppose 3*x = w + 377. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1*9*(760\/(-30))\/2. Is -1 less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -41041, -4, -6, 0.3, 1\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -3*a**2 + 13*a - 4. Let c be 49 + (-1 + 3 - 1). Calculate the least common multiple of x(2) and (1\/2)\/(5\/c).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**(-2\/27)\/n)\/((n*(n*n**(2\/5))\/n)\/n*n)*(n\/(n\/(n*n\/n**0)*n))**(-5\/3))**(-2\/7) assuming n is positive.\nAnswer: n**(1118\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.073063 rounded to 4 dps?\nAnswer: -0.0731","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -15*s**3 - 3*s**2 - 2. Let y(i) = -i**3 - i**2 + 1. Calculate t(p) + 2*y(p).\nAnswer: -17*p**3 - 5*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36*i - 267*i = -7878 for i.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 83\/1664 and 115\/127968?\nAnswer: 6654336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*o - 2*c + 2114, -5*c - 228 = 2*o - 1630. What is the hundreds digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -222 + 185 - (-22 - -2)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((o\/(o\/(o*o**(-24))))\/o)\/o**(10\/3))**(-2\/33))**(2\/27))**22 assuming o is positive.\nAnswer: o**(656\/243)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 767586.\nAnswer: 2, 3, 127931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*s - 4*j + 5*j + 23, -4*j + 8 = 0. Let o(l) = -l**3 - 4*l**2 + 9*l + 16. Let r be o(s). Sort 5, 7, r.\nAnswer: r, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 4 - 4)*(1 + 0 - 2)*(121*x + 17*x - 57*x).\nAnswer: -81*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -2c17 (base 15) in base 10?\nAnswer: -9472","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.479 + 5.479. Suppose 5*o - 8 = 7. Which is the second biggest value?  (a) 2\/7  (b) u  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*r + 8. Suppose 5*n - r = 2*m + 4, -12 = -n + 4*m. Suppose -4*c - 5*b = -28, -4*c + n*b + 44 = b. Calculate the remainder when 34 is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 4071\/7 and 581 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 22 = j. Suppose 0 = -3*v + 13 + j. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(1*sqrt(3993) + sqrt(3993)) + sqrt(3993))\/(-4*-6*sqrt(66)\/sqrt(6)).\nAnswer: 55*sqrt(3)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -m + 4 = -h, -3*m - 1153*h + 13 = -1155*h for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 28 - 22. Suppose g = -2*g + x. Calculate the remainder when 6 is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 11 + -8. Let d = -4 + 3. Let l = 81 + -81.1. What is the nearest to -1\/2 in d, p, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(121)\/(sqrt(704)*3).\nAnswer: sqrt(11)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = 12*g**2 + 17*g - 34. Let y be a(-22). Let c = 8119 - y. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -k**3 - 2*k - 3. Let a be ((-24)\/9)\/4*-3. Let g = a - 4. What is the remainder when 26 is divided by m(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -12.1023 + 11.95. What is p rounded to 2 decimal places?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 3, f: 1, l: 1, n: 2, t: 1, k: 4}. Give prob of picking 1 k and 1 a.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 6, t: 6}. What is prob of picking 2 t?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*m + 0*m - 4*m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-39)\/13*4\/18.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3451?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (8 - (-15 + 7))*3\/3. Let c(h) = h**3 - 17*h**2 + 17*h - 16. What is c(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = s**2 - 14*s + 17. Let k be x(13). Let i = k - 4. Solve -3*c = 2*p - 14, -2*p - 5*c + 22 = -i*c for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 294431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c + c = -3*g + 29, -g + 5*c - 22 = 0. Suppose g = v - 14. Does 5 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 121308?\nAnswer: 2, 3, 11, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8\/50)\/((-156)\/(-130)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 79 is divided by 62.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d*(d\/(d\/(d*d*d**7\/d*d*d)))\/d*(d*d**(-6))\/d*d)**(-1\/71)*((d\/(d\/(d**2*d)))**(-20))**(-32) assuming d is positive.\nAnswer: d**(136314\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 4557 a multiple of 147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dzcu when four letters picked without replacement from zdccidccidudddl?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10569*h**2 + 21112*h**2 - 10562*h**2.\nAnswer: -19*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6\/(-14) - (-1950)\/42.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + 2 + 3 + -8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 27176 or 27177?\nAnswer: 27177","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 44 divide 1177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0595672571 to four dps.\nAnswer: -0.0596","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 511*x - 8 = 513*x + v, 0 = 99*x + 3*v - 162 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express -18*u**3 + 13*u + 11*u**3 + 5*u**3 + 31 - 10 in the form f*u**2 + a + o*u + w*u**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sisl when four letters picked without replacement from {l: 1, r: 5, s: 2, i: 1, t: 8}.\nAnswer: 1\/28560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in thirty-one halves of a hour?\nAnswer: 930","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Do 114235 and 114235 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = w**2 - w - 9. Let m(b) be the first derivative of -b**4\/4 - b + 2. Let r be m(0). Let z be 0*r*3\/6. Calculate k(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -2 + 5 - 1 + 3*z + z**2 + 1. Let k be u(-2). Let n = -1 + 9. Solve a = i + k, -4*a + 3*i = -0 - n for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + 4*g = -2*s - 13, -4*s = 3*g + 43. Let a = s - -11. Suppose -o = o. Solve o*b + 12 = a*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.0572 - 0.1572. Put t, 3\/7, -79 in ascending order.\nAnswer: -79, t, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -57*s - 301 + 73 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1759 divided by -9.\nAnswer: -1759\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d*d*d\/(d\/d**(-5\/9)))\/d**16)\/(d**6\/d**(1\/14)) assuming d is positive.\nAnswer: d**(-2581\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10 - (-7 - (-7 + -14 + 9))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: ((1296\/352)\/(-27))\/(3\/8)\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*z**2 - z**2 + 3*z**2 + (70*z - 2*z + 49*z)*(0*z + z + z).\nAnswer: 233*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1 and 223.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*u**2 - 3*u**2 + 184*u - 184*u.\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 2471.268 litres?\nAnswer: 2471268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4 + 0 + 6)*(-u**2 - 2*u**2 + u**2) + 4*u**2 - 7*u**2 + 2*u**2 + 16*u to g*u**2 + i*u + c and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cggv when four letters picked without replacement from {y: 1, c: 3, g: 2, v: 1, e: 5}.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 81311633?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) be the third derivative of -f**7\/945 + f**5\/135 - f**3\/27 + 41*f**2. Factor r(k).\nAnswer: -2*(k - 1)**2*(k + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 248615?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -53*u - 40*u - 1353 + 681 + 672.\nAnswer: -93*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(sqrt(252)*-2 + -5 - -3*(0 + sqrt(252) + sqrt(252))) - (sqrt(252) + (1*sqrt(252) + sqrt(252))*5 + sqrt(252)*2*-4))**2.\nAnswer: -1620*sqrt(7) + 20637","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1788*b**3 - 893*b**3 - 896*b**3.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13016.\nAnswer: 2, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1 - 0. Is 164 + (-1)\/(0 - u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 617 - 614. What is the nearest to -1\/3 in -0.1, k, -2\/71, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7\/(-21)*(-4 - -3) + (-88)\/48\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k, 1 t, and 1 a when three letters picked without replacement from aktzj?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 193126119 divided by -409?\nAnswer: -472191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -r. Let k(t) = -808264*t + 3. Calculate k(u(d)).\nAnswer: 808264*d + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -3464, -1\/4, 5\/3, -5?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -129095, -129100, -129107, -129116?\n\"Answer: -u**2 - 2*u - 129092","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -86651 (base 10) in base 3?\nAnswer: -11101212022","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -480160 or -480187?\nAnswer: -480160","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -92*n + 19 = 147 - 312. Let 2\/7*k**5 - 250\/7 + 220\/7*k**n - 150\/7*k + 30\/7*k**4 + 148\/7*k**3 = 0. Calculate k.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1254779*g**3 - 1254845*g**3 + 2509612*g**3.\nAnswer: -12*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3.2 + 5. Let y = h + -1.7999984. What is y rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15537 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -2190, 841, 6, 4.\nAnswer: -2190, 4, 5, 6, 841","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -2*c**3 - 8*c**2 - 13*c - 3. Is k(-6) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 89, 228, 431, 728, 1149?\nAnswer: 1724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ql when two letters picked without replacement from {q: 2, l: 16}?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = h. Let n(j) = 31*j**3 - 5*j**2 + 3*j - 13. Let w(u) = 4*k(u) + n(u). Is w(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000010064 rounded to seven decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand b**5 - 1 + 13 - 13 + (-5*b**2 + 3*b**2 + 3*b**2)*(-1 + 1 + b**3).\nAnswer: 2*b**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2 + 5 - 1)*(1 - 1 - 2) - 3 + 6 + 0 + (2 - 5 + 2)*(0 + 0 + 2))*(1 - 1 + 2*q).\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) -2\/5  (b) 1\/8  (c) 378.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a - 5*h + 6*h - 17366 = 0, 3*h + 12 = 0. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12713 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -353, -1401, -3149, -5597, -8745, -12593?\n\"Answer: -350*n**2 + 2*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*o + 150 = 115. Which is the nearest to -1?  (a) o  (b) 1  (c) -0.5  (d) -3\/52\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 279584569?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 94.9883 kilograms in tonnes?\nAnswer: 0.0949883","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 - 1 + 4)*(4*m - 3 + 3)*(-m**3 + 0*m**3 + 3*m**3) as q*m**2 + z*m**3 + s + y*m + k*m**4 and give k.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*d - 14*d = 0. Let u = -14 + 5. Let z = u - -8.6. What is the nearest to d in -2, z, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(600) - (sqrt(600)*-3 - sqrt(600))) + sqrt(600))\/sqrt(10))\/(-2*sqrt(12)*-1)*4.\nAnswer: 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 g and 1 x when four letters picked without replacement from {h: 3, e: 1, g: 3, x: 4}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -84*l + 12*l - l + 0*l = 88*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -8954 + 16757. Is m a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 36206365.\nAnswer: 5, 13, 557021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 6*(-4 + (-20)\/(-6)). Let u(k) = -k - 1. Let l(i) = i**2 - 12*i - 13. Let q(a) = t*l(a) + 36*u(a). Suppose q(f) = 0. Calculate f.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -707669 = -24*l + 22*l - 3*s, -5*l = -2*s - 1769201. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 31 - 19. Suppose -114*b + 111*b = -a. Suppose -21 = -b*f + 99. Does 5 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -b**2 - 5*b. Let f be q(-6). Let g(r) = r**3 + 7*r**2 + 7*r + 8. Let y be g(f). Is (-4 + y)\/(-2)*2 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) be the first derivative of -k**3\/3 - 9*k**2\/2 - 9*k + 11. Let g be v(-8). Let j = 1 - g. Solve -j*h + 3 = 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = k**2 + 3*k + 3. Suppose 5*c - 9 = 11, -2*d - 10 = -c. Let a be b(d). Suppose 4*n - 2*g - 28 = 0, 5*n = -a*g - 6 + 30. Solve -n = 6*i - 3*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-13 - 11) + 20 + (2 - 2) + 31.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 15\/1966  (b) -2  (c) 3.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1.9 - -0.9. Let k = -4772 - -4772.4. Which is the closest to k?  (a) 1\/7  (b) o  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 4*o - 20 = 8, 4*o = -16. Suppose -y*g - 9 = -21. Find the third derivative of -2*t**2 + 2*t**3 + t**2 - g*t**3 wrt t.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -64 - -46. Let n be (42\/(-1134))\/(3 + (-68)\/24). Which is the second smallest value?  (a) 4  (b) j  (c) 0  (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence js when two letters picked without replacement from jijyisyyy.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4478 is divided by 100?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -c + 11. Let a(o) = -o**3 + 9*o**2 + 6*o + 21. Let k be a(5). Let h(d) = -75*d**2 - 74*d**2 + k*d**2. What is s(h(v))?\nAnswer: -2*v**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 427108 is divided by 778?\nAnswer: 764","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 4*z**2 + 25*z + 29. Calculate the remainder when 3916 is divided by r(19).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -59 + 98. Is r*-2*2\/(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3 - s**5 + 3 + (3*s**4 + 0*s**4 - 5*s**4)*(-9*s - 15*s + 8*s).\nAnswer: 31*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 3*z**3 + 6*z**2 - 5. Suppose 3*v = 2*v + 5. Let f(o) = -32 - 2*o**3 - 26 + 87 - 25 - 5*o**2. Let t be (6\/(-5))\/(3\/(-10)). Calculate t*c(y) + v*f(y).\nAnswer: 2*y**3 - y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:20 PM and 12:19 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 590 + -275. Does 15 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 35763 and 16837275?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 570 minutes before 10:35 PM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*l - 11*l - 5 = 4 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -4 - -42. Let j = 46 - a. What is the least common multiple of j and 19?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((q**(4\/11)\/q)**(2\/19))**(-3\/22))**(-4))**(-3\/8) assuming q is positive.\nAnswer: q**(63\/4598)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 97.02007 seconds in milliseconds?\nAnswer: 97020.07","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 664 minutes before 1:42 AM?\nAnswer: 2:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.061891085 rounded to five dps?\nAnswer: -0.06189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.112 times -4?\nAnswer: -0.448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*y - 2*k + 14 = 0, 5*y - 11 = 2172*k - 2171*k for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 7827 divided by 3?\nAnswer: 2609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -5*d**2. Let j(u) be the third derivative of -1\/24*u**4 + 0*u**3 + 0 - 4*u**2 + 0*u. What is j(b(f))?\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 1641 (base 8) to base 9\nAnswer: 1242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 45.087615 times 9\nAnswer: 405.788535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand a - 4*a + 10*a + (23 - 23 + 10)*(-3*a + 3 - 3).\nAnswer: -23*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 14707601 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 886 is divided by 89?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 70597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 16984294809 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -64 - -64. Suppose -q - 4*r + 29 = -25, 3*q + r - 107 = g. Suppose -146 - q = -3*t. Does 10 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 63*b**2 - 9*b. Let o(a) = 31*a**2 - 4*a. Determine -9*o(m) + 4*u(m).\nAnswer: -27*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 40 minutes after 9:26 AM?\nAnswer: 10:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -89, -78, -65, -50, -33?\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2.863 - 0.137. Let f(j) = -j**3 - 2*j**2 + 3*j + 1. Let t(k) = k**2 + 3*k - 3. Let i be t(-3). Let q be f(i). Put q, -1, v in descending order.\nAnswer: q, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -2, -14638, -0.0302, -6?\nAnswer: -14638","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (93\/62)\/((-6)\/(-16)). What is the units digit of r\/(140\/14135) + 2\/14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -67 - -89. Let p = -9 + 15. Calculate the lowest common multiple of p and s.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-2)\/(-6)*-1)\/((-1)\/6). Which is smaller: 21\/13 or g?\nAnswer: 21\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = 158*r**2 + 20*r - 105. Is j(8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 12673867?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -17 + 18. Let n(w) = -3*w**3 + w**2 - 1. What is n(s)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 316510 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -787330 divided by 2?\nAnswer: -393665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 0 + (1 - 2) - -8. Let b(g) = 4*g - 8*g + 4 - 2*g + g**2 - 10. Let n be b(i). What is the highest common factor of 1 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 14 + -30. Let i = g - -17. Put i, 1\/4, 2\/5 in descending order.\nAnswer: i, 2\/5, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 73 + -72. What is the nearest to 0.4 in t, -0.4, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 times -56030768\nAnswer: -224123072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 402924.4cm?\nAnswer: 4029244000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 68491 is divided by 246.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) be the third derivative of 11*n**6\/40 - 131*n**3\/3 - 53*n**2 + 2*n. Find the first derivative of r(q) wrt q.\nAnswer: 99*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:48 AM and 3:13 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(105) - (sqrt(105) - sqrt(105)*2)*-1)\/(sqrt(567)\/sqrt(9)))\/((-3*(1*sqrt(225) + sqrt(225)))\/sqrt(5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 291*w**5 + 2*w + 986 wrt w?\nAnswer: 5820*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 62.49 - -0.51. Let w = -47 + p. Let k = -16.1 + w. Which is greater: k or -7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + 1 - -2 - (-108 + 107).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 188305 to the nearest integer?\nAnswer: 434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rsos when four letters picked without replacement from {r: 5, o: 1, s: 14}.\nAnswer: 91\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(19) + ((sqrt(19) + -2)**2 - sqrt(19)))*-3 + (-1 + sqrt(19) + (sqrt(19) - sqrt(171)))**2.\nAnswer: -49 + 14*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 7\/233 and -1\/150.\nAnswer: 34950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(-3*sqrt(10)*2 + sqrt(10) + (sqrt(10) - sqrt(360)*-1))\/(6*3*sqrt(5) - -3*sqrt(80)))**2.\nAnswer: 8\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 1  (b) -1  (c) 0.4  (d) 4069  (e) -1794\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12 + (9 - 1272\/60) - (-28)\/(-10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-168)\/1190*-10*(-1)\/(-3)?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 62592 and 37164.\nAnswer: 1189248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 4280.9 less than -0.016?\nAnswer: -4280.916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 814810607.\nAnswer: 13, 4241, 14779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -46.77 + 47. Which is smaller: -1 or p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -12.85 + 13. Let h = r + 9.85. Which is the second smallest value?  (a) 3  (b) h  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 2616820897 to the nearest 1000000.\nAnswer: 2617000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**7*n\/(n\/n**(-1))*n)**(2\/7))**(-46) assuming n is positive.\nAnswer: n**(-92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 187623512 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -43*m*q*r*u**2 - 4*m*r*u + 53*m*u**2 - m + 31*q*r*u - 7*q*u**2 - 121*q wrt u.\nAnswer: -86*m*q*r + 106*m - 14*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*b + 10 = -6*t, -5*t + 5905 = -2*b + 5908 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*s + a = -0 + 4, -62*a = 2*s - 57*a - 20 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (203\/(-42) + 3)\/((-8)\/(-48))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19036061 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 19b59 (base 12) in base 16?\nAnswer: 9435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z = -5*r - 59365, 4*z + 134*r = 129*r + 47483. Does 29 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -1310*m**3 - 150*m + 1490. Let l(b) = -2*b**3 + 3*b + 1. Let g(z) = 100*l(z) + 2*y(z). What is the first derivative of g(n) wrt n?\nAnswer: -8460*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/(i*i**(-2\/5)*i*i)*i)\/i**(2\/7)*(i*i\/(i**(-1\/4)\/i))**(-7\/4) assuming i is positive.\nAnswer: i**(-3681\/560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1384.3 + 2666.2. What is r rounded to the nearest ten?\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 485892324 is divided by 6965.\nAnswer: 6959","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 24101105 a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*n = -5*y - 35, 257 - 221 = -5*n - 4*y for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 252*l**2 + 65*l - 489. What is the tens digit of t(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (17\/(-34))\/(2\/(-296)). Suppose -3*v + i = -w, -v + w + 46 = 6*w. What is the remainder when v is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*f - 4*f - f + ((0 + f + 0)*(2 + 3 - 4) + 0*f + 2*f + 0*f)*(-1 - 51 - 24).\nAnswer: -230*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*a + 45*a + 69 = -43*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -7734 by -6.\nAnswer: 1289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 437.1857l to millilitres.\nAnswer: 437185.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 4265593490 to the nearest integer?\nAnswer: 1622","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -45 + (8 - -1 - (-59)\/(1180\/(-320)))?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 88 + 115 + 65 - 266 + 34*j**3 + 18*j**3.\nAnswer: 52*j**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 4 - (-90)\/(-21) - 18\/(-63). Suppose 8*s - 2372 + 764 = o. Is s a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 5  (b) -1  (c) -0.62\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15369 = -789183*a + 788856*a for a.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 61885, 61939, 62089, 62383, 62869, 63595, 64609?\n\"Answer: 8*f**3 - 2*f + 61879","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 3 = -2*v. Let a be (-1*(-12 - 3))\/v. Find the third derivative of -6*z**4 + 0*z**4 - 20*z**2 + a*z**2 wrt z.\nAnswer: -144*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -22 - -47. Let o = -29 + h. Which is the third smallest value?  (a) -0.3  (b) -1  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t + 3*a = a - 36, -4*t + 2*a - 36 = 0. Let n(r) = -14*r - 28. What is the tens digit of n(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -63 + 96. Suppose r - 156 = -g. What are the prime factors of r?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pwppxppxplppcpppppp. What is prob of picking 1 c and 1 l?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -6.787759 to 2 decimal places.\nAnswer: -6.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -12 - (400\/(-56) + (-12)\/(-84)) - (0 - -11)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 12\/54 + (-16)\/18. Let y = -1.3 - -0.3. Which is the biggest value?  (a) 3\/7  (b) y  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -2*o**2 + 9. Let t(n) = 6*n + 19. Determine u(t(g)).\nAnswer: -72*g**2 - 456*g - 713","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 21\/804683 and -7\/10341.\nAnswer: 21726441","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -301 + 30?\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -11*m - 55. Let c be p(-16). What is the greatest common divisor of c and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -d**3 - 7*d**2 - 5*d + 8. Let j be n(-6). Suppose -8*p - j*w = -3*p - 153, p = 3*w + 34. What is the greatest common divisor of p and 248?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -133*d + 2390. Let c be w(18). What is the biggest value in -1, c, -0.1, 0.11, 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -15699, -15695, -15691, -15687?\n\"Answer: 4*l - 15703","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 7077?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v + 525 = 3*m, 504*m + 141 = 505*m + 4*v. What is the greatest common factor of m and 1540?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 8889, 8712, 8519, 8304, 8061, 7784, 7467?\nAnswer: 7104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) be the third derivative of -23*n**4\/4 - 20*n**3\/3 + 24*n**2. What is the hundreds digit of r(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-3*m**2 + 3*m**2 - m**3)*(0*m - 3*m + m) + 3*m**4 + 2*m**4 + m**4 + 4*m**4 + 2*m**4 - 5*m**4)*(1 + 0 + 1).\nAnswer: 18*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) be the third derivative of -j**5\/5 + 25*j**4\/24 + 8780*j**2. Give k(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.08 - 0.08. Let l = 0.68 + s. Let a = -1.67 + l. What is a rounded to one dp?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = 1 + 4*k**2 - 1 - 6*k**2. Let h(t) be the third derivative of -t**5\/12 - 3*t**2. What is h(d(i))?\nAnswer: -20*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.4  (b) -23.2  (c) -0.1  (d) -2\/7  (e) 6307\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -2*g - 2286 + g + 2284. Let k(y) = y**3 + 6*y**2 + 6*y + 5. Let x be k(-5). Give z(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 10.45 - -100.55. Which is the second smallest value?  (a) m  (b) -3\/7  (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Convert 2030 (base 4) to base 15.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 3761 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 244234 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*k + 247 + 153 = 0. What is the highest common factor of k and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0 + -1. Let y be (r + 3 - 1)\/(-1). Let n = 6 - y. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1099*k**5 + 106*k - 106*k + 2349*k**2 + 718*k**5 - 469*k**5 wrt k.\nAnswer: 80880*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5265265 (base 9) to base 2\nAnswer: -1010110000000111100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (73 - -1) + -37 + 0.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 3, g: 1, v: 3}. Give prob of sequence aaav.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - 2) + -1 + 0 + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 0 - ((43 - 0) + -1). Let b = -15 - p. Is b a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1552030423 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-52)\/(-182))\/(30\/(-35)). Which is the nearest to 3?  (a) -2\/7  (b) 6  (c) q  (d) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) be the second derivative of 3*y**5\/20 - 3*y**4\/4 - 3*y**3\/2 - 4*y**2 - 11*y. Is f(9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -v**2 + 21*v + 59. Let a be k(22). Let n(s) = 7*s**3 + s**2 + 5*s - 3. Let f be n(2). Suppose -f = -2*r - a. Solve 0*d - r = -5*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*y**4 + 11967*y**2 - 3*y**3 + 0*y**4 - 11966*y**2 + 78 + 3*y**4 - y**4 to the form z*y**2 + b*y + o*y**3 + w + r*y**4 and give w.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express (40*o + 25*o - 11*o + 56*o)*(2*o + 3 - 3) as v*o**2 + d + r*o and give v.\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 11333742?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 4700*h**3 - 3927*h**3 - 3 + 3.\nAnswer: 773*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + ((((sqrt(1900)*1 - sqrt(1900)) + -5 - sqrt(1900)) + 4)**2 - -3*(2*sqrt(1900))**2*-2).\nAnswer: -43698 + 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Find b such that 405*b**5 - 3735*b**4 + 2750*b**3 + 11980*b**2 - 19400*b + 8000 = 0.\nAnswer: -2, 1, 10\/9, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -t + 11*t**2 + t - 4*t**2 + 6*t**4 wrt t?\nAnswer: 144*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (72\/20)\/((-12)\/30). Sort -3, 5, g in descending order.\nAnswer: 5, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 6*a**3 - 5*a**2 - 5*a + 5. Let j = 1984 - 1978. Let m(s) = -6*s**3 + 6*s**2 + 6*s - 6. What is j*t(u) + 5*m(u)?\nAnswer: 6*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 14502*o**3 + 1518*o**2 + 13*o - 14. Let w(g) = -4834*g**3 - 505*g**2 - 4*g + 4. Let j(t) = -2*k(t) - 7*w(t). Find the third derivative of j(i) wrt i.\nAnswer: 29004","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -30220, -30359, -30580, -30877, -31244?\n\"Answer: w**3 - 47*w**2 - 5*w - 30169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -229122, -5.7, -1\/11?\nAnswer: -5.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 74214 a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 78063.79 milliseconds in nanoseconds?\nAnswer: 78063790000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -532648 * 0.5.\nAnswer: -266324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 + 2)*(-l - 15*l + 0*l)*(3*l**2 - 3*l**2 - 2*l**3).\nAnswer: 64*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -13005 + 1?\nAnswer: -13004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = 4*o + 7. Let y(g) = -5*g - 7. Give -6*c(t) - 4*y(t).\nAnswer: -4*t - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor q**3 - 31*q - 30.\nAnswer: (q - 6)*(q + 1)*(q + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -10\/599 or -121214?\nAnswer: -121214","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -35b - b32?\nAnswer: -e8d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2915128 + 2915127.53000058. Let b = w - -0.47. Round b to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 30 = 4*b, 2*b = -0*b - 4*f + 24. Let g(p) = b + 0*p - 4 + 3*p + p**2. Let h = -150 + 148. Give g(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 120851 is divided by 2510.\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 766189252 to the nearest integer?\nAnswer: 27680","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 223221.7 litres to millilitres.\nAnswer: 223221700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) be the third derivative of 5*w**4\/8 - 49*w**3\/6 - 3*w**2 + 4. Let d be i(4). Solve -h - d + 9 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = 21*t**3 - 2*t**2 - 2*t - 1. Let c be u(3). Suppose 0 = 3*s - 6, 4*q + s + 1732 = c. Is (-1)\/4 - q\/8 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 42\/5 of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -293 - -306. Let z = 795.988 - 783. Let a = z - h. Round a to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8 (base 14) to base 16\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -41\/1735 and -133\/472614.\nAnswer: 2363070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 12*z - 9*z - 15, z + 253 = -h. Let q = h + 1430. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2270618439?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -i + 8. Let c be o(6). Let m be (-44)\/20 + 4 - 1\/(-5). Solve 0 = 2*r - c - m for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 117388 is divided by 117375?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -65.674 take away 8790?\nAnswer: -8855.674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from {k: 3, a: 5, w: 1}?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2\/(-42)*(-1 - -4). Put -2\/5, -0.2, h in decreasing order.\nAnswer: h, -0.2, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 41 = 2*s. Calculate the remainder when -1*(-1 - -1 - s) is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 254 + -126. Let s be 1120\/n + (-2)\/16*-2. Solve 2*o = s - 11 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (437\/(-138))\/((-54)\/324).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 + -2 - (-1 + 1) - 1) + -6?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qqmm when four letters picked without replacement from {m: 3, s: 3, q: 5}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = 21*g**3 - 2*g - 1. Let k be p(-2). Is (-596)\/(-5)*(k\/(-6))\/11 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44*p = -5190 - 5722. What is the least common multiple of p and 248?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -2*q**3 - 5*q**2 + 22*q - 11. What is r(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 2*n**2 - 2*n**2 + n**2 - 2*n**2 - 4*n**3. Let m be f(-1). Suppose 2*r + r - 1788 = m*v, -3*r = -4*v - 1791. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 1 u when two letters picked without replacement from usuhsohshso.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 2146 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 233*j - 465*j - 2586*j**3 + 217*j.\nAnswer: -2586*j**3 - 15*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5 - 26073*t - 2 - 3 + 26088*t.\nAnswer: 15*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -6e3ecad - -b?\nAnswer: -6e3eca2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4794*p**5 - 4*p**4 - 390*p**3 + 34023*p - 10133?\nAnswer: -95880*p**3 - 48*p**2 - 2340*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 288 a factor of 30625920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (-32 - -28) + -3 + 2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2466, 2451, 2424, 2379, 2310, 2211?\nAnswer: 2076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*s - 2*l + 9 + 5, 0 = 2*s - 5*l + 3. Let m(d) = 3*d + 5. What is m(s)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 266453444 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*h + 2 - 2)*(192*h**2 - 410*h**2 + 176*h**2) + (22 + 17 - 6)*(h + 2*h**3 - h) as b + l*h**2 + s*h + k*h**3 and give k.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*x**5 - 377*x**3 + 8886*x wrt x.\nAnswer: 40*x**3 - 2262*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 88 and 297?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 18376907 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -12 + 2120220210221?\nAnswer: 2120220210202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*t = 5*w + 42, -56062*w + 56064*w = -3*t - 21 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -5\/2 in 2, 0.2, 1\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.05 + 2.95. Sort b, -0.4, 0 in decreasing order.\nAnswer: b, 0, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 4, -1565.8, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + t**4 - 2)*(-77 + 1 - 22).\nAnswer: -98*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 9 + 0*t**2 + 8*t + 5*t**2 - 5*t**2 + t**3 + 7*t**2. Calculate m(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 158401219 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -4 (base 7) to base 15\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 22722091 to the power of 1\/3, to the nearest integer?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n + 2*v = -4*n - 41, -5 = n + 2*v. Let m be (-12 - n) + -1 + -1. Put 3, 7, m, -4 in descending order.\nAnswer: 7, 3, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p - 8 = 5*y, -2*p + 0*y = -3*y - 20. Solve 0 = -l + p*l + 12 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -40, -49, -74, -121, -196, -305, -454, -649?\n\"Answer: -o**3 - 2*o**2 + 4*o - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s**5\/13 - 142*s**4\/13 + 146*s**3\/13 + 142*s**2\/13 - 144*s\/13 = 0. What is s?\nAnswer: -72, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.12 and -39.\nAnswer: -4.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = 5*f - 3. Let s = -49 + 52. Let r be 11\/5 + 5\/(-75)*s. What is y(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c + 68 = 4*c. Calculate the greatest common factor of 17 and c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.2 * -0.0193\nAnswer: 0.00386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 59309.5 millennia?\nAnswer: 5930950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -m + 361. Let f(n) = n - 5. Give -2*f(d) - l(d).\nAnswer: -d - 351","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -4654, -18831, -42466, -75565, -118134, -170179?\n\"Answer: -l**3 - 4723*l**2 - l + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 40*c - 45*c - 48 = 2*b, -c + 4 = -3*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2235 + -1116. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4*sqrt(64) - sqrt(64))\/sqrt(2))**2.\nAnswer: 800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t = -5*w + 3*t - 13, -3*w + 3*t + 3 = 0. Let k be (-13)\/(-11) + 1 + w. Let v be (2\/(-3))\/((-8)\/6). What is the closest to v in 4, -1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -46689, -93514, -140339, -187164?\nAnswer: -233989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 6*i. Let d(y) = -11*y. Determine -3*d(h) - 5*w(h).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 1, d: 18}. What is prob of picking 3 d and 1 w?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -g - g + 2*o + 16, 16 = 5*g + 3*o. Suppose 0 = d + 3 - g. Suppose -d*p = -105 + 5. Calculate the highest common divisor of p and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nqnnqqwnqwqnqnqwqnq. Give prob of sequence nnnw.\nAnswer: 35\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 0*s + 3 = 0. Let a = -28 - -30. Suppose a*b + 2*d = 2, -b = s*d + d + 11. Put -1, b, -5 in decreasing order.\nAnswer: b, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = 9*z**3 + 440*z**2 - 12*z - 240. What are the prime factors of l(-45)?\nAnswer: 3, 5, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (6*-6)\/2*16\/(-24). Suppose 6 + 18 = r*h. Calculate the remainder when h is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 61\/2 of a tonne?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 10 - 7. Suppose 9 = h*k - 6*k. Let x be ((-4)\/k)\/(-4)*-39. What is the greatest common factor of 52 and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -43*g - 266 = -5*g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 51 - 30. Let q = 116 + -32. What is the highest common factor of x and q?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 0.9320332 centimeters?\nAnswer: 9320332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 1140354*v + 53596632. Determine h(-47).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4958 = 6*u - 580. Suppose -37*q + y - 929 = -38*q, -q - 3*y = -u. What are the prime factors of q?\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 0.12, -0.1, 0.3 in increasing order.\nAnswer: -0.1, 0.12, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 138 or 972\/7?\nAnswer: 972\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = l**2 - 2*l + 6. Let u(m) = 35*m**2 - 8*m + 9. What is -4*j(k) + u(k)?\nAnswer: 31*k**2 - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 20751, 20741, 20725, 20703, 20675, 20641?\n\"Answer: -3*t**2 - t + 20755","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -268*h + 1. Let t(f) = 20474*f. What is t(i(l))?\nAnswer: -5487032*l + 20474","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 289.69224 months in millennia?\nAnswer: 0.02414102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 4898243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -69156 divided by -452.\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 45\/(-6) + (-4)\/8. Is n\/12 - (-154)\/6 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27323 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11 + 60*l - 22*l + 12 - 21*l.\nAnswer: 17*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -2\/7, -14, 0.69, 5\/54, 0.01?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = 4*m - 2. Let p = 73 + -69. Suppose 5*w - 4 = -p*d, -5*d + 2*w + 0 = -38. What is v(d)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 72 and 2418.\nAnswer: 29016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5386*l**2 - 5268*l**2 - 5277*l**2 + 15934*l**2.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 90376 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -22201063 (base 7) to base 11\nAnswer: -109989a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 92*z + 2577. Let s be r(-28). Solve p - 11 = 3*n - s, -p = 3*n + 8 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide (-36)\/(0 + -9) - -1204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -23*c**2*d**3 + c**2 - 3*c*d**3 - 52*c wrt d?\nAnswer: -69*c**2*d**2 - 9*c*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 9348 and 155377003.\nAnswer: 779","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = p**2 + 5*p + 8. Let g be f(-4). Suppose s - g = 2. Suppose -4*v + 21 = 5*n, v = -4*n + 13 + 6. Calculate the smallest common multiple of s and n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kpkkppp. Give prob of picking 3 k and 1 p.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4448 + -4454. Let b(p) = 3*p. Let k(a) = -11*a + 1. Let q(u) = -9*b(u) - 2*k(u). Let l(i) = 3*i + 1. Determine n*q(s) - 11*l(s).\nAnswer: -3*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n + 125 = -5*l, -n + 3*l = -5*n + 186. Calculate the remainder when 133 is divided by n.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -j**3 - 7*j**2 + 8*j - 1. Let w be -4 + -2 + -4 + 2. Let q be d(w). Let r = -3 - -2. Is q > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.01 - -2.99. Let y(l) = 5 + 3 + l**3 - 3 + 2*l**2 - 1 - 2*l. Let g be y(-3). Which is greater: k or g?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5 is divided by 3\/(2\/8*4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 6 = -w, 14*w + n = 11*w + 18. Suppose -17*v = -19*v + w. Solve -d - 2*g = v*g - 6, 8 = 5*d + 3*g for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) be the first derivative of 3*n**3 - n + 1. Suppose 1 + 2 = 3*g. What is the units digit of x(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3126)\/51579 - 18263\/(-231).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 41 (base 5) in base 14?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -74*r. Let w = -25 + 48. Suppose 313*h = 311*h + 4*x - 2, 5*h - 3*x - 37 = 0. Let i(j) = h*j + 10*j - w*j. Give i(u(z)).\nAnswer: 148*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in y**2 - 12*y**2 - 17429327*y + 17429329*y.\nAnswer: -11*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 1, v: 6, h: 1, k: 3, a: 3, c: 6}. Give prob of sequence raa.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -1952*m + 43336 + 101112 for m.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 6*s**2 + 6*s - 1. Let v = -728 + 732. Let g(t) = 5 + t**2 - 6*t - 12*t**2 - 3 - 5*t. What is v*g(a) + 7*l(a)?\nAnswer: -2*a**2 - 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 28718 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = o**3 + 29*o**2 + 29*o + 2. Is t(-25) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = 114*d**3 - d**2 - d + 1. Let w be z(1). Let p = 304 - w. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -i. Let u(a) be the second derivative of 0*a**2 + 45*a + 0 + 7\/3*a**3. Calculate c(u(d)).\nAnswer: -14*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3 - -3. Suppose p = -0*a + 2*a. What is the second derivative of -v**2 + a*v + 2*v - v wrt v?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -46*g**4*p - 10830*g**4 - 929*g - 427*p wrt g?\nAnswer: -552*g**2*p - 129960*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*f = 3*i + 524 - 513, -5*i + 3 = 3*f for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1497727.\nAnswer: 7, 11, 53, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ww when two letters picked without replacement from rwwrrwvrrvwvvvvvvrv?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 0.2  (b) 5\/97  (c) 3  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = a**2 + 11*a + 19. Let k be q(-8). Let z be 500\/(-18) + (-22)\/99. Let j = -29 - z. Put 4, j, k, 6 in ascending order.\nAnswer: k, j, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -72.2 and -149.7.\nAnswer: 10808.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (32\/(-22))\/(5336\/88044)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-12)\/84*(-21)\/(-333)*3?\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*u - 3*u - 8. Let q(v) = -2*v**2 + 3*v**2 - 4*v**2 + 2*v**u. Let b(l) = 3*l**2. Calculate q(b(k)).\nAnswer: -9*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.016564 rounded to 4 dps?\nAnswer: 0.0166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3391 and 1493.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 3496584 divided by -874146\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*sqrt(4896)*1*4)\/(sqrt(54)\/sqrt(3) + -3*sqrt(98)).\nAnswer: -40*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d = 107 + 103. Suppose -3*b - 3*h + 153 = 0, h + 195 = 3*b + d. What is the remainder when (b\/5)\/((6\/15)\/2) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 + 0 - (0 - -3)*-215 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 1, g: 18}. Give prob of picking 1 e and 2 g.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4*(sqrt(108)*3 + sqrt(108)) + sqrt(108))\/sqrt(6))\/(sqrt(486) + (sqrt(486) - -6*1*sqrt(486))) + -5.\nAnswer: -5 - 5*sqrt(3)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 206.565 + 0.435. Let m = 291 - p. Let z = m + -97.5. Round z to 0 dps.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 6 = 2*d, 1 + 2 = x + 4*d. Let w = -192 + 194. Solve x*r + 2*n = -4, w*r + 3*n + 2 - 6 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {y: 9, u: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 4\/(-14)*(-9 + (-1 - 4)). Suppose 10 - 2 = w*f. Suppose f*t - 3 = -t, 2*x + t = 1843. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Solve -6*g = 56*i - 51*i + 71, 0 = 4*g + 3*i + 49 for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1211 (base 3) to base 6.\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sum 3312 and 0.04458055.\nAnswer: 3312.04458055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 49 - 43. Let t be 10\/x*18\/5. Let w(y) = 19*y + 6. List the prime factors of w(t).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d = -3*w + 69, -5*d + 8*d + 5*w = 65. Let x = d + -21. Solve x*q - 10 = -q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1003 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:38 AM and 1:23 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n = -29 - 166. Does 13 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = 7*o. Let h(g) = 20*g. Let t be (0 + -5)*(9 + -10). Let q(i) = -i**2 + 5*i - 8. Let x be q(6). Give t*h(v) + x*y(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((5 - 12) + 137)*(1210\/(-44) - -28)?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1277785?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 4976 divided by 8\nAnswer: 622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pcv. Give prob of picking 1 v and 1 c.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 8 + -16 + (6 - 5 - -11) + -8\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 62 + -49. Calculate the remainder when 10\/(-2 - 33\/(-15)) is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12 - 11 - -5 - (4 - (-1 + 1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 555?  (a) 2\/7  (b) -3  (c) 2\/15  (d) 1  (e) -4  (f) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1 + 1 + 0\/17. Suppose -x*n = -2*t - 22, 45 = 3*n + 2*t - 13. Suppose -75 - 15 = -2*p. Calculate the remainder when p is divided by n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:20 AM and 4:35 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(3648)*-2)\/((sqrt(12)\/sqrt(4) + sqrt(3))*-4).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 81 - 61. What is the remainder when (-5)\/(3 - 64\/n - 0) is divided by (7\/4)\/((-9)\/(-36))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15 = -2*o + y, -1618*o - 12 = -1616*o + 8*y for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -g**2 - 4*g. Let o(c) = -4*c**2 - 17*c. Let d = 16 + -14. Give d*o(b) - 9*q(b).\nAnswer: b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = 19 + 9 + 1025*i - 538*i. Is c(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -0.211, -1\/2, 1.8 in increasing order.\nAnswer: -1\/2, -0.211, 0, 1.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4925122249.\nAnswer: 61, 71, 1137179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 1046765 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 43, 333, 1123, 2665, 5211, 9013?\nAnswer: 14323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - 5*s = 9, c + 4*s = -3*c + 12. Let n(w) = 2*w + 3*w - 1 - c*w. What is n(6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 4, 3\/7, 5426\/57?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3570 and 1466935610?\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11 + 13 - 24 + 4*p.\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 13978?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -2.58065  (b) 0.4  (c) 5.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7440\/(-84630)*21\/(-4)?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 87508?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 + (-12 - -12 - -6) + -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = h + 6. Let b be s(0). Suppose 5*i - b = 4*r, 5*i + 0*i + 2*r - 12 = 0. Suppose 0*l = i*l - 20. Calculate the smallest common multiple of l and 9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20 = -30839*q + 30840*q + 4*t, 3*q + 10 = 2*t for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 0*s + 24 = s, -4*d - 5*s = -43. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2255 + 4892. List the prime factors of k.\nAnswer: 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 + (-1 - (-17 - -7))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2.53 + -2.6. Let n = 0.07047 + f. Round n to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -o + 4*b + 19, -6*o = -2*o + 4*b - 16. Let k(y) = -5 - y**3 - 7*y**2 - 3*y**2 + 4*y + o*y**2. Give k(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2628.36615 rounded to the nearest 10?\nAnswer: -2630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*z + 150 - 15. Let v = z + 103. What is the remainder when v is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2506798?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 72379672?\nAnswer: 2, 61, 71, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + 1 + -2 - -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 18181 divided by 250?\nAnswer: 18181\/250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-29 - 8 - -21) + (-153)\/(-6).\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) be the second derivative of 107*a**5\/10 - 25*a**3\/2 + a**2 + 104*a + 1. Find the second derivative of l(b) wrt b.\nAnswer: 1284*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 67525 + 670*k**2 - 67525 + (-24 + 10*k + 24)*(k - 1 + 1) as x + s*k**2 + n*k and give s.\nAnswer: 680","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w + 42 = -p, 6 = -w - 6*p + 11*p. Suppose 4*u - w = u. Solve 5*z = u*z - 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -5*p + 10 - p**2 - 10 - 17 + 16. Determine n(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -937316964 by 13784073.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 103 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 124569 to the nearest 1000.\nAnswer: 125000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 9 + 0 + 4 + 0 + 11*f wrt f?\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*m = -4*z - 30, z = -4*m + 564 - 603 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 202 = 3*i + 34. Let p = 32 + 25. Let c = p - i. Solve -3*q + 2 = -2*j - c, 0 = 3*j - 3*q + 6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -39 - -42. Suppose -9 = 3*i, -4*i = 4*p - 5 - 43. Calculate the remainder when p is divided by (h - (0 - 1)) + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n and 1 w when two letters picked without replacement from {x: 5, w: 3, n: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 78160*b - 3*b**3 + 4*b**2 + 2*b**3 - 78160*b - 4*b**2.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 44, 1, 4 in increasing order.\nAnswer: 1, 4, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 221115.4 millennia to years.\nAnswer: 221115400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 3433 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 133449 is divided by 1343.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -41 - -45. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 586 is divided by 98.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 14, 208, 580, 1130, 1858, 2764?\nAnswer: 3848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 9\/2?  (a) 0.4  (b) -1  (c) 3\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 4*s**2. Let q(y) = y**3 - y**2 + 11. Let o be q(0). Suppose i + 4 = o. Let h(a) = 2*a + i - 7. What is p(h(z))?\nAnswer: 16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s\/(s*s**(2\/7)*s))**(-3))**(-2\/29) assuming s is positive.\nAnswer: s**(-12\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0001297719 to 7 decimal places.\nAnswer: -0.0001298","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -90 - -130. Suppose 18 = 2*v + v. Suppose v*r - 3*r = -a + 26, -j = -4*a + 4*r. Solve 3*u + 4*l + 26 = 0, -3*l + 1 = -u + a for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fifteen quarters of a tonne in kilograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = x**2 - 4*x - 5. Let d be q(5). Suppose 0 = 3*k + 6, -113 = -z - 3*k - d*k. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1 + 2*(-1)\/(-2). Let t = 3 + -1. Suppose -z = -2*s + 22, -t*s + 56 = 2*s + 4*z. Solve -j*r = 2*r + s for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g = 4*v - 2436, 12*g - 10*g - 1220 = -4*v. List the prime factors of g.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = s**2 + 8*s - 54. Let a be l(-12). Let n(m) = -5*m**2. Let r(q) = 5*q**2. What is a*n(j) - 5*r(j)?\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8*147\/(-27440))\/(-27 + 30).\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) be the third derivative of u**4\/4 - 8*u**3\/3 + u**2 + 29. Let z be q(2). What is the smallest value in 0.083, -1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 386*m + 1414. Calculate f(-4).\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -7737, -7738, -7739, -7740, -7741, -7742?\nAnswer: -7743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 7221745 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*m + 7 + 8 = -2*d, 0 = 3*d for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*r + 4*r - 108. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 191189320?\nAnswer: 2, 5, 7, 682819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/(-6*76\/(-304)*20\/(-3))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.8478441 nanograms to grams.\nAnswer: 0.0000000008478441","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = n**3 + n**2 + n + 1. Suppose 0*f = -f - 4, 0 = 3*z - 3*f - 30. Let s(o) = -5*o**3 - 2*o**2 - 6*o - 6. Determine z*r(y) + s(y).\nAnswer: y**3 + 4*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*s - 3*w + 5709 - 5627, -6*s = -3*s - 4*w + 91 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 52781251?\nAnswer: 23, 31, 74027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1\/4, 12, 5, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -21245, -67, 12 in decreasing order.\nAnswer: 12, -67, -21245","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l = 2*z - z - 5, 0 = 4*l - 4. Let a be (z - -3)*348\/(-12). Let b = a + 489. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*b + 13*b = 1155. Calculate the highest common factor of 66 and b.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 254 is divided by 35?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand -92*o - 2*o**3 + 94*o - 17*o**2 + 4*o**3 + (-2*o - 1 + 1)*(-2*o**2 + o**2 + 0*o**2).\nAnswer: 4*o**3 - 17*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -35*c**4 - 8987*c**2 + 8945*c**2 - 36*c**4 wrt c?\nAnswer: -1704*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1594 is divided by 34?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hmhh when four letters picked without replacement from mmhhmmmh.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 5*a = -12 - 16, -4*a = -4*l + 64. Suppose 9*h = l*h - 112. Let w = h + -25. Solve -2*p - 8 = -5*g, w*p + 12 = -4*g + g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-22)\/((-77)\/7)*(-1)\/4.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) be the second derivative of 1\/6*x**3 + 116*x + 1\/6*x**4 + 0 - 2*x**2. Calculate i(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + 3 + 3 + (sqrt(7) + 0 + 0 - (sqrt(7) - (sqrt(112) + -3)))**2 + 0)*1.\nAnswer: -24*sqrt(7) + 123","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-7)\/(-14))\/((-4)\/40). Which is the closest to 1\/4?  (a) 9  (b) m  (c) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -93*f**3 - 7*f**2 - 7*f - 51. Let t(q) = -30*q**3 - 2*q**2 - 2*q - 17. Determine -7*t(z) + 2*v(z).\nAnswer: 24*z**3 + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-168)\/140)\/(6\/2*42\/(-45))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 44614 >= 44615?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nznllnlkvnl. What is prob of picking 1 k and 2 n?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.2 and -15.48.\nAnswer: -15.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -5 + 1 - (-5 + -3). Suppose 4*p + j - n = 7, 1 = -p - j. Suppose p*o + o = 115. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = 8*p + 262. Let y(v) = -2*v**3 - 16*v**2 + 45*v + 210. Let h be y(-9). What is r(h)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*g**8*g)**49 assuming g is positive.\nAnswer: g**490","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve u - 2 = -3*x, -6 = -2*x + 579*u - 575*u for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 865958751?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -195453*f**2 - 178768 wrt f.\nAnswer: -390906*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*x**2 + 16*x - 16*x + 7*x**2 + 9*x**2 - 34*x**2.\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 62992642 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve g + 1 + 1 = -0*g - 21*h + 5, -h = 3*g - 3*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does -2.24 = -0.202?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8701145?\nAnswer: 5, 19, 91591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 551375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(7) - ((sqrt(28)\/sqrt(2))\/sqrt(2))**2)*-5.\nAnswer: -5*sqrt(7) + 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(136)*3 - sqrt(136))*4 + sqrt(136))*-5)\/(sqrt(8) + sqrt(128) + -1*sqrt(128) - sqrt(200)*1).\nAnswer: 45*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -101 - -112. Calculate the remainder when h is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of ((-15414)\/(-2695) - 6) + 7*(-20)\/(-245) and -44\/10675.\nAnswer: 117425","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = -100*m + 92*m. Let o(h) = -2*h**3 - 4*h**2 - 2*h + 6. Let c be o(m). Solve -12 + c = -f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1803 + 10998 = -214*q + 78*q - 2703 for q.\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*3*sqrt(640)*-3)\/(2*(3*sqrt(32) - sqrt(32))*-4).\nAnswer: 9*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 3396*s + 98529. Determine y(-29).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) be the third derivative of h**6\/40 + h**5\/30 - 13*h**4\/24 + 14*h**2. Let r(n) be the second derivative of f(n). Is r(1) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 7 and 217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -l**2 + 16*l + 11. Let v(x) = -x**2 + 9*x + 16. Let n be v(10). Let p be i(n). Let u = 149 - p. Is 26 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.084 in -210, -0.4, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.81 - -18.81. Which is the smallest value?  (a) -0.3  (b) x  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 46 + -27. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -320 + 2245?\nAnswer: 1525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m = 6*m - 25. Solve m*k = -0*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-7*t + 6*t + 6*t)*(t**2 - 2*t**2 + 0*t**2) + 9*t**3 - t**3 + 7*t**3 as s*t**3 + n + g*t**2 + y*t and give s.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 at least 2\/3485?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -2*x**3 + 54*x**2 - 642*x - 342. Calculate s(19).\nAnswer: -6764","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1330 or -1331?\nAnswer: -1330","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (3 + 4\/4)*4. Suppose -20*q + 8 = -b*q. Solve 4*t - 6 = -q for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 30*20\nAnswer: 600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -2*p, f - 3 + 1 = -3*p. Let g = 19 - f. Suppose -i + g + 4 = 0. Solve 6*m - i = m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -3  (b) 6  (c) 0  (d) -4.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*g + 42 = 14*g. Let m(u) = 3 + g - 6 - 16*u. What is the tens digit of m(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 33 and 10177343.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 0 - 1)*(-3 - 4 + 6)*(3 - 2 + 2)*(147*v**2 - 91*v**2 - 74*v**2)*(4*v + 0*v + v).\nAnswer: -540*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4352 and 612?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d**1*d\/(d*d*d**(-1\/3)\/d*d))**(-50))**(9\/2))**(-4\/5) assuming d is positive.\nAnswer: d**60","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: What is 25667538 to the power of 1\/3, to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -248 - -152. Let c = 101 + j. Let i be (-6 + c)\/(15\/(-6)). What is the third smallest value in i, 2, -4, -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-21)\/(-12) + 2\/8. Suppose -b = 5*y + n*b - 31, 5 = -y + 5*b. What are the prime factors of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + (sqrt(1053) - (2 + sqrt(1053) + 0)) + -2)**2 + -6*(-2 + (sqrt(117)*2)\/sqrt(9)*4).\nAnswer: -48*sqrt(13) + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 26 in 4\/5, -3\/7, -6, -3, -1\/9, 3970?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -48 - -24. Let f be ((-2)\/75)\/((-8)\/k). Which is greater: f or -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 60483, 60507, 60531, 60555?\nAnswer: 60579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*r + 4999 = -24*r + 5311 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 289 minutes after 1:37 AM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-380*o + 1 - 404*o + 724*o)*(-3 + 2 + 0).\nAnswer: 60*o - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = t - 17. What is u(0)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1010013 + 1?\nAnswer: -1010012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) be the third derivative of -19\/40*z**6 + 1\/60*z**5 - 30*z**2 + 0 + 0*z**4 - z + 3\/2*z**3. What is the third derivative of a(t) wrt t?\nAnswer: -342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4*(sqrt(19) + 0))**2 - (sqrt(76)\/sqrt(4) + 4))*-3.\nAnswer: -900 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + 11 = -y, -2*y - 5 = -4*o + 9. Let u(z) = -2*z - 6. Let q be u(-4). Which is the closest to q?  (a) 0.5  (b) 2\/11  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1001 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2532 - 55677\/22. Find the common denominator of k and -3*(206\/(-132) - -1).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -32*i**2 - i**3 + 5*i + 41*i**2 + 4 - 6. List the prime factors of d(8).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 2\/15 of a decade?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is z in 2*z**4 - 2574*z**2 + 233*z**3 + 25*z - 21*z**3 + 19*z - 44*z = 0?\nAnswer: -117, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 39220?\nAnswer: 2, 5, 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 18343?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*j**2 - 4272*j - 95920 = 0. Calculate j.\nAnswer: -22, 1090","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (-12)\/21 + (253\/322)\/((-9)\/(-270))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1067877503?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b - 2 = 3*n, 0 = 4*n + b + 3*b. Find the common denominator of 2\/7 and (-37 - -15)*n\/9*1.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*m**5 - 441*m**4 - 447*m**3 + 441*m**2 + 444*m = 0. Calculate m.\nAnswer: -1, 0, 1, 148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 3 u when four letters picked without replacement from {u: 5, v: 8}?\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -354 = 106*v - 112*v + 9*b, -261 = -5*v - b for v.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -3*g - 14*g**2 + 6*g + 13*g**2. Let k(u) = -u**2 + u. Give 2*d(b) - 6*k(b).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -43*r - 112 = 13*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 3*l**2 - 6*l. Let c(t) = -t**2 - 10*t - 4. Let v be c(-9). Is 15 a factor of r(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 67766365673 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 43\/4242 and 85\/8484.\nAnswer: 8484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -3*g**3 + 4*g**2 + g + 3. What is i(3)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -13345.7684 to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 152.2465 millennia in decades?\nAnswer: 15224.65","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 40206 is divided by 250?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -925?  (a) -2\/9  (b) -0.2  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*d + 12*d + 92 = 0. Calculate the remainder when d is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u, 1 b, and 1 i when three letters picked without replacement from {i: 2, b: 1, u: 1, h: 2, n: 1, j: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -19 - (-67585)\/3640 - (-2)\/16?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + 5*l = -5*d + 29, -5*l - 15 = -5*d. Let o(j) = 3*j - 1. Let w be o(l). Let k(m) = m**3 - 4*m**2 - 5*m + 5. What is the units digit of k(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.04 + 2.04. Let t = p - 6. Which is the third smallest value?  (a) 5  (b) t  (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2  (b) 5\/2  (c) -1\/6  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -115\/10751868 and -67\/36.\nAnswer: 10751868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a = -6*a + 6. Suppose -7*i + 490 = -a*i. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*b + 20*b - 200 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2391 in 1, 18, 2\/13, 3?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1994*u**2 + 8 - 4014*u**2 + 2020*u**2 - 6*u**3.\nAnswer: -6*u**3 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 2542, 2544, 2546, 2548?\n\"Answer: 2*s + 2540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 - 1) + -9 + 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 90, -1\/5, -23 in descending order.\nAnswer: 90, -1\/5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.013688 rounded to three dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1194, -2347, -3416, -4359, -5134, -5699, -6012, -6031?\nAnswer: -5714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 31\/123804 and 32\/43983?\nAnswer: 3342708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = i**3 - 10*i**2 - 12*i + 12. Let n be t(11). Let k be (1\/(-2))\/(n\/2). Let j(f) = 3*f**3 + 2*f**2 + 2*f + 1. What is j(k)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 209 is divided by 97?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -f*q**3*w**2 + 2*f*q**3*w + 2*f*q**3 + 12*q**3*w**2 + 35*q**3*w wrt w?\nAnswer: -2*f*q**3 + 24*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1139.084 + -1135. Let s = 0.016 + t. Let g = s + -4. Is 1\/5 > g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1 + 15304\/16*(-2 + 4).\nAnswer: 2, 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -2*v. Let m(s) = 463*s**2 + 2*s - 2. Give m(k(c)).\nAnswer: 1852*c**2 - 4*c - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-28 + 17 - 20)*(-2*c + 2*c - c) + 0*c + 2*c - c + (c + 0*c + 0*c)*(0 + 2 + 0))*(-2*c + 0*c - 2*c) + 3 - 2*c**2 - 3.\nAnswer: -138*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -j + 10. Let n be h(9). Differentiate -4*t**2 + 2 - 1 + 1 + n wrt t.\nAnswer: -8*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -5*o**2. Let b(s) be the first derivative of 16*s**2 + 64. Calculate j(b(u)).\nAnswer: -5120*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2612445?\nAnswer: 3, 5, 11, 71, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: What is 2141 times 5?\nAnswer: 10705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(-7))**(-5\/2)\/(i**(3\/4))**(-40))**(-5\/11) assuming i is positive.\nAnswer: i**(-475\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:39 AM and 7:27 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -5, 0, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*d**4\/5 - 14*d**3\/5 - 182*d**2\/5 - 226*d\/5 + 84 = 0. What is d?\nAnswer: -5, -3, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d = -6*x + 8*x + 2, 5*x = -25. Suppose a + 3*o - 20 = 0, d*a - a + o - 100 = 0. What is the second derivative of -194 - 9*y**4 + 194 - a*y wrt y?\nAnswer: -108*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -152586*t**3 + t + 172655 wrt t.\nAnswer: -457758*t**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 - (-13)\/(-26) - (-45625)\/(-16790).\nAnswer: -5\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 218*m + 99*m + 19192 = 82*m + 3682 for m.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -4, -8, -3, 0 in descending order.\nAnswer: 1, 0, -3, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 90259.\nAnswer: 13, 53, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 divided by -61?\nAnswer: -8\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve n + 2 = 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express 38*k - 95 + 39*k + 28*k - 100*k as x*k + d and give d.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 5  (b) 2\/11  (c) 2  (d) -7  (e) 50\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 75\/1534 and -65\/531.\nAnswer: 13806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -156 - -162. Solve 0 = -5*w - 15, 4*i - 3*w + r = -1 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) be the first derivative of -i**3 + 2. Let s(l) = -6*l + 10*l + l. What is n(s(k))?\nAnswer: -75*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -63*q - 1195. Calculate o(-23).\nAnswer: 254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m = 2*j + 3*j, -m + 3 = -4*j. Let i = j - -4. Let n be (-35)\/(-15) + 2\/i. Solve -2*b + 5*t = 10, 0*t + n*t - 17 = -b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 2 + 2)*(-9 - 51 - 31)*(-d**4 - 7*d**2 + 7*d**2).\nAnswer: -182*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 62 + -26. What is the remainder when j is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 8 = -3*w, -5*l + 0 + 2 = 4*w. Calculate the common denominator of (-52)\/10 - w\/(-5) and 22\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1387\/(-209) - 11) + 12\/(-33).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(sqrt(675) + 1 + 5 - 2*sqrt(1323)*-1).\nAnswer: 36 + 342*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 56 and 126?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = 76*n + 242. Calculate c(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.21?  (a) 17  (b) -0.3  (c) 4  (d) -829\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t + b + 58 = 6*t, 10 = 5*b. Let f be 46\/115 - 6\/(-20)*22. Suppose f*g = t*g - 210. What is the remainder when 82 is divided by g?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 89339 is divided by 341?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -4\/37, 2, -5?\nAnswer: -4\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 50 a factor of 269071150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 20 = -5*h, -3*u - 17*h + 20*h + 18 = 0. Solve 0 = u*y + 10 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(171)\/sqrt(81) - 2*sqrt(475))*-3.\nAnswer: 29*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 113327 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 2*k**3 - 3*k**2 + 3*k. Calculate the remainder when ((-14)\/(-28))\/(1\/74) is divided by g(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*h + 15 - 9 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 2609623*q + 1 - 2608171*q.\nAnswer: 1452*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 64\/21060243 and 7\/8.\nAnswer: 168481944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 34*h**3 - 7*h**2 - 7*h - 18. Let a(v) = -7*v**3 + 2*v + 2. Give 5*a(y) + k(y).\nAnswer: -y**3 - 7*y**2 + 3*y - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1338117917 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3311*c - 1625*c + 202356 = -1724*c for c.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 85\/345708 and 31\/5346?\nAnswer: 1037124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 85\/8 and -111\/56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/(-4) - (-22)\/(-28)) + 196\/((-403368)\/116718)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 276918947?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) be the third derivative of -y**6\/30 + 7*y**4\/12 - y**3\/6 + y**2 + y. What is the hundreds digit of n(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 40*c - 42 = 33*c for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3788?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v = 4*t - t + 1, -4*t + 5*v = 5. Suppose s - 39 = -t*s. Does 13 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*u = -10*i - 98, 518*i = -3*u + 263*i + 254*i + 67 for u.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*h + h**2 - 6*h**2 + 2*h**2 - 12 = 0. What is h?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23521815 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sum -59 and -814317482.\nAnswer: -814317541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide -43 by -10.\nAnswer: 43\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-27)*i)\/i**(-8\/15) assuming i is positive.\nAnswer: i**(-382\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*f + 16 - 28. Let a(v) = -v**2 - 3*v + 18. Let n be a(f). Solve n*t - 2*t = -4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = o**2 - 4*o + 7. Is q(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -3*y**2 - 5*y + 3. What is w(-4)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 5395380213?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 191\/330 and -187\/3690?\nAnswer: 40590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 860611 + -859571. Factor -6656*v - 100\/3*v**4 + c*v**3 - 23056\/3*v**2 - 4096\/3.\nAnswer: -4*(v - 16)**2*(5*v + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 880*r**2 - 374*r**2 - 494*r**2.\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 44 and 460?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 12134?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = v. Let x be t(0). Suppose s + 3 - 61 = x. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*f = -3*d - 11 + 30, 3*d = 6*f + 21 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-32)\/6 - (-2)\/6. Let g be 4\/b*(-360)\/16. Let r(u) = -8*u + 5. Let m be r(-5). Calculate the greatest common divisor of g and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 638024.8g in kilograms?\nAnswer: 638.0248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 211 = -k + 215 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*n - 29 = 2*n + 4*h - 2*h, 2*n - 75*h - 37 = -50 for n.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = 87 - 94 + 4*h + 7*h. Let a = 4 - 1. What is the remainder when w(a) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00020085 rounded to five dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) be the second derivative of -y**4\/12 - y**3 + y. Calculate the remainder when u(-5) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 467 - 455 = 4*w, 3*q - 4*w = 9. Suppose 3*g + 2*f - 15 = 0, -4*g + 5*f = -8*g + 20. Let p(x) = -3 + 0 - x**2 - 1 + g*x. What is p(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 559653 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m = 7*m - 210. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-21)\/(-9) - (-12)\/(-36). Suppose i*h - 3*n = 2*n + 8, -20 = -5*h + 4*n. Solve -j + h = 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {k: 3, o: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1082943 is divided by 6333.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -798, 9, 2, -3, -10.\nAnswer: -798, -10, -3, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 338, -4, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -313, -608, -869, -1084, -1241?\nAnswer: -1328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 51549096?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = n**3 - 8*n**2 + 12*n + 20. Calculate the remainder when (-13 + 0)*-2*1 is divided by j(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*q - 15 = -3*k, -11 = -6*k + 4*k - 3*q for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.0757 or 14.331?\nAnswer: 14.331","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (-4 + 4*(1 + sqrt(45)*-4 + (sqrt(720))**2))*-3 + 1.\nAnswer: -8635 + 144*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.015 + -0.185. Which is the nearest to h?  (a) 2\/13  (b) 3  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = f - 9. Suppose -2*k = -k - 9. Let u be c(k). Let s = u - -16. Is 8 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0018694 rounded to 4 dps?\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 810 and 8?\nAnswer: 3240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-600)\/(-1750)*-2*(-5)\/(-8)*42\/4?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(11) - (sqrt(704)*5 + sqrt(704)))*-5*-5.\nAnswer: -1175*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.263 to two decimal places.\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) be the first derivative of -1\/2*t**2 + 0*t + 8. Let y(k) be the first derivative of 4*k**3\/3 + 1. Determine y(i(b)).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -16 + 21. Suppose -c - 155 = -5*d - 0*c, 5*d + s*c - 185 = 0. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -13  (b) -5  (c) -14  (d) -0.3  (e) 120  (f) 2\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 3, l: 2, o: 6, e: 1}. What is prob of sequence eoao?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*l = 8, -100*h + 101*h = 3*l + 7 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -17 + 17.04. What is z rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) be the second derivative of -b**4\/12 + 2*b**3\/3 - 5*b**2\/2 + 3*b + 24. Calculate s(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 524 or 62?\nAnswer: 524","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 23*z**3 - 5751*z + 5751*z.\nAnswer: 23*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.187292, -94, 0.1?\nAnswer: -94","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3\/8*f**3 + 9 - 27\/8*f**2 + 21\/4*f.\nAnswer: 3*(f - 6)*(f - 4)*(f + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -4, 23, 141 in ascending order.\nAnswer: -4, 3, 23, 141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*h**2 - 34*h**2 - 8*h**2 + 15*h**2 - 38*h**2.\nAnswer: -63*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1042?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 59356 and 568?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -20*(-22)\/(-55) - (-2 + 3 + 5). Sort -5, i, -2\/7, 3 in increasing order.\nAnswer: i, -5, -2\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-72)\/14*(2 + 20\/(-3)). Let s = z - 20. Solve -v + 5*n + 5 = 4*v, -s*v + 4 = -3*n for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (649\/129 + -5)\/18. Which is smaller: 0 or k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1381, 1605, -5233, -25031, -63687, -127099, -221165?\nAnswer: -351783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 400 + -404. Let d be 69 + (7\/(7\/i) - -1). What is the greatest common factor of d and 352?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36*o + 39*o = -2*v - 19, 2*o = -2*v - 12 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -12.06 - -3.23. Let d = f + -0.17. Let p = -8.6 - d. What is the second biggest value in 2\/3, p, 4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = f + 1, -b + 2*b + 3*f = 17. Calculate the remainder when 71 is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -94469 minus -319879.6?\nAnswer: 225410.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -h**2 + 64. What is b(10)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-4)\/(-18) - (-150)\/54. Suppose v*m + 2*m - 30 = 0. Solve -m*k + 2*k = 16 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 97*r + 331 - 105 = -259. Let u(d) = d + 1. Let n(h) = -h + 3. Let z(i) = 4*i - 10. Let o(y) = 7*n(y) + 2*z(y). Determine r*o(s) + 2*u(s).\nAnswer: -3*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3, 9, 21, 39, 63?\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.48924 times 0.363?\nAnswer: -0.17759412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.4 + 0. Let m = 0.2 - u. Suppose 2*x - 5*p + 11 = -0, -3*x = -3*p + 12. What is the closest to 0.1 in -0.5, m, x?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(200)\/(sqrt(15)\/sqrt(3)) + sqrt(40) + 1*sqrt(4000))\/((sqrt(352)\/sqrt(275))\/sqrt(4))*-5.\nAnswer: -300*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1827416 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.5 - -1. Let m = 1 + -1.07. Let d = 0.93 - m. Which is the nearest to 0.2?  (a) 4  (b) w  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -18 + 25 + -25 + 11?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(60) + sqrt(8640)*1 + sqrt(8640) + sqrt(60))\/(sqrt(300)*1).\nAnswer: 26*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1092\/195*(-10)\/36?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 - 24 = -5*i. Solve 0 = -5*x + i*y + 19 + 9, 2*x - 5*y = 18 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.47 times -30317\nAnswer: 14248.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -4  (b) 1\/7  (c) 2\/29  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8 + -4 + -11 + 25 + 9?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -132*-3.9\nAnswer: 514.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -259*n + 62?\nAnswer: -259","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -z**3 - z**2 + z. Let y(g) = -3*g**3 - 3*g**2 + 14*g. Calculate -5*x(v) + y(v).\nAnswer: 2*v**3 + 2*v**2 + 9*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -x**2 + 5*x + 2. Let u(c) be the third derivative of 5\/6*c**3 - 1\/4*c**4 + 0 + 6*c**2 + 7\/60*c**5 - 1\/120*c**6 + 0*c. Let v be u(6). Determine y(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -t**3 + 3*t**2 - 2*t + 4. Let g be h(3). Let l be 1 - (g - 1)\/(-3). Suppose l = -0*k + 4*k. Solve -2*z + 5*m = -5, k*z + 17 = 3*z + 2*m for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.9 - -4.9. Let i = -6 + s. Let c = 216 + -219. Put c, -2\/9, i in descending order.\nAnswer: -2\/9, i, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = 4*o + 20. Let u(c) = 14*c + 1. Let v be u(1). Suppose 5*g + 6*t - t = v, 3*g - 13 = -5*t. What is the closest to g in -0.4, o, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 53 + -47. Suppose 5*p = -o + 81. Suppose t + l - 45 = 0, p = -l + 6*l. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 38128 to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 61519337 to the nearest integer?\nAnswer: 7843","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*b - 63412 + 31706 + 31713.\nAnswer: -2*b + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 605, 606, 607?\n\"Answer: t + 604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -147*y + 55*y - 2016 - 2124 = 0 for y.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 474?\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 4, j: 16}. What is prob of sequence jj?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 470056337 to the nearest integer?\nAnswer: 778","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -102 or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 259464707 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-12 - 49) + -12 - (0 + -6 - -19)) + -11.\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-522)\/(-8))\/(12\/64). Suppose 0*g + 4*g - q = 0. Calculate the remainder when g is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -m**2 + 6*m + 1. Let t be 17 + 3\/(-1) - 3. Let n(p) = p**2 - 11*p + 6. Let r be n(t). Give o(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 41645047 to the power of 1\/2, to the nearest integer?\nAnswer: 6453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*v + 12 = -d, 0 = 6*v - 5*v - 2*d - 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 2*k**2 - 8*k - 5. Let v(w) = 9*w**2 + 5*w + 7. Let a be v(-3). Let b = -67 + a. Determine r(b).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 640\/(-8) - -1*1. Let z = 83 + w. What is the units digit of (4 + -1 - z) + 161?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(sqrt(168)\/(sqrt(432)\/sqrt(6)))\/(sqrt(70)\/(sqrt(10) - (1*sqrt(250) - sqrt(10)))).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 32088 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/7 smaller than 35959010?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express (-137*q + 1 - 7*q**4 + 137*q)*(11 - 26 + 216) as m*q**2 + p + b*q**3 + z*q + k*q**4 and give p.\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b - 17320 = -x, -b = -3*x - 1069 - 2411. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -22*l. Let a(u) = 488*u**2 - 7*u + 133. Let w(s) = -244*s**2 + 4*s - 76. Let z(r) = -4*a(r) - 7*w(r). Give t(z(p)).\nAnswer: 5368*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -33\/84064 and 85\/88.\nAnswer: 924704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -24 + 3*p - 33*p**3 - p - 9*p**3 - 4 wrt p.\nAnswer: -252*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.210763565 rounded to two dps?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5049?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 256032 divided by 96\nAnswer: 2667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.1  (b) -4  (c) 1\/188\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 29\/3 of a day in minutes?\nAnswer: 13920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t\/t**(-10\/7)*t\/(((t\/t**(-5\/4))\/t)\/t) assuming t is positive.\nAnswer: t**(89\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 42*a - 36*a - 2514. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 62 minutes before 3:55 AM?\nAnswer: 2:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 26046 is divided by 4338?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -2*z**2 + 10*z - 2. Let r(o) = 7*o**2 - 29*o + 6. Let i(d) = 8*f(d) + 3*r(d). Determine h, given that i(h) = 0.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) be the first derivative of i**3\/3 - 2*i**2 + 3*i - 1. Let a be n(3). Solve a*f = 4*f - 16 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*h = 5 - 11. Let q be (-4 + 3)\/(-4 - (-3)\/h). What is the units digit of 28 - 2 - q\/(3 - 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -287*t + 286*t - 6*v + 100, -2*t + 13 = v for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*g**3 - 1608 - 17289*g**2 + 17289*g**2 + 2146.\nAnswer: 7*g**3 + 538","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 741 + -75. What are the prime factors of n?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 712 + -724 - ((4 - -2) + 1)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 445621285*r**3 - 424504993 wrt r?\nAnswer: 1336863855*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -4 + (-20)\/(-12) - (2 - 5). Which is smaller: 8\/13 or p?\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*f**4\/8 - 66*f**3 - 11877*f**2\/4 - 5742*f - 22707\/8.\nAnswer: -3*(f + 1)**2*(f + 87)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 50 divide 52641747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 0.13*5710.36\nAnswer: 742.3468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.3 - 0.2. Let y = 0.01 + 5.99. Let q = 4 - y. What is the nearest to i in 1, q, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -5500985*z**3 + 2*z**2 - 166*z - 1695?\nAnswer: -33005910","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.138 - -0.862. Let v = -1.1 - 0.1. Let k = w + v. Which is the closest to -0.1?  (a) 0.5  (b) k  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-5)\/30*1494\/12. Let w = 19 + x. Find the common denominator of (14\/20)\/(44\/(-8)) and w.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -143*x + 115*x = 896. Let v = -355\/9 - -196\/9. Calculate the common denominator of (-5838)\/1260 - x\/(-20) and v.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -9 - -9. Suppose o*r - 45 = -5*r. Let y = -7 + r. Which is bigger: 1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 + 2 - 1)*(-77*m + 93*m + 2*m**2 - 71*m) as h*m + u*m**2 + s and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1949275 or 1949070?\nAnswer: 1949275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 3927\/363 - (-2)\/11. Suppose -5*n + 2*h + 17 = -x, -2*n + 3*h = -20. Let t(v) = -v**2 - 9*v - 5. Calculate the least common multiple of t(-7) and n.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 4, a: 16}. Give prob of picking 2 a.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 37*d**2 - 2*d + d - 18*d**2 - 21*d**2 - 3*d**3. What is f(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**1)**(-4\/9))**(10\/3)\/((q*q**(4\/3)\/q)**(-6\/7))**12 assuming q is positive.\nAnswer: q**(2312\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -18*j + 17*j. Put j, -3, 7 in increasing order.\nAnswer: -3, j, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-40)\/(-80))\/(((-312)\/(-1344))\/(-13)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 439 minutes before 5:02 PM?\nAnswer: 9:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c + d - 72 = 0, c - 4*d = -3*c + 92. Suppose j + t - 19 = 0, -3*j = -2*j + 5*t - c. What is the remainder when 74 is divided by j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = 29*o - 13. Let n be i(9). Suppose n = 5*m - u + 2203, 0 = 4*u. Let p = m - -1186\/3. Find the common denominator of -65\/9 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 5*h + 13 = 0, 5*h - 2*h + 5 = -x. Let q(o) = 2*o**2 - 4*o**2 + 2*o + 4*o**2 - 6*o**3 - 3*o. Determine q(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 c and 1 g when four letters picked without replacement from gccccccgcgc?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 1302903?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -226*n + 83*n - 2 + 85*n + 8*n**3 + 71*n.\nAnswer: 8*n**3 + 13*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 2 - 1)*(575756*c**5 + 575759*c**5 + 317*c - c**4 - 1151514*c**5).\nAnswer: 2*c**5 - 2*c**4 + 634*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (102\/(-85))\/(14\/6*37\/(-7400)*30).\nAnswer: 24\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*g + 4*g - 10. Let u(x) = -x**2 - 12*x + 26. Let c be u(-14). Is -4 + 410\/(g\/c) a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -3*f + 8. Let n(g) = g - 2. What is -9*n(m) - 2*t(m)?\nAnswer: -3*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = 65 + 5*k**2 - 19*k**2 + 12*k - 2*k**3 - 50 + 3*k**3. Let g be a(13). Let z be (-1 - (-1 - 0))*(-6)\/(-12). Sort z, g, 5 in descending order.\nAnswer: 5, g, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -17 - -31. Let h(f) = -2 + 5 - 2*f + m. Calculate the remainder when 4 is divided by h(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 280942277?\nAnswer: 7, 11, 331691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) be the second derivative of -y**9\/504 + y**6\/360 - y**3\/3 + 6*y. Let g(d) be the second derivative of b(d). What is the third derivative of g(p) wrt p?\nAnswer: -360*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i**(-2\/9)*i*i\/i**15)**(-24) assuming i is positive.\nAnswer: i**(880\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = h**2 - 35*h - 31. Determine a(36).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/s**2)**12\/(s**(2\/5))**(7\/3) assuming s is positive.\nAnswer: s**(-194\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -t**3 - 4*t**2 - 8*t + 5. Is d(-5) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -132210130203 (base 4) in base 11?\nAnswer: -4583814","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = 5*d. Let n(m) be the third derivative of m**4\/4 - m**3\/6 + 4*m**2 + 2. Give 3*i(x) - 2*n(x).\nAnswer: 3*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) 3  (b) -3  (c) -5  (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -20111102 - -12102?\nAnswer: -20022000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) be the first derivative of -m**4\/4 - 5*m**3\/3 + 4*m**2 + 4*m - 12. Give t(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3431 - 3432. Let a(u) = -u**2 - u + 1. Let j(x) = 15*x**3 - 4*x**2 - 4*x + 4. What is w*j(z) + 4*a(z)?\nAnswer: -15*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-5)\/3)\/((-15)\/(-54))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13586.\nAnswer: 2, 6793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (50*d**2 + 28*d**2 - 154*d**2 - 375*d**2)*(2*d + 0*d - d)*(-2 + 2 - 2*d).\nAnswer: 902*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 701122.3m to nanometers.\nAnswer: 701122300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 4, y: 1, s: 1, n: 8, m: 1, o: 1}. What is prob of picking 1 n and 1 y?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*q**2 + 28*q - 66.\nAnswer: -2*(q - 11)*(q - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 928?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*f**3 - 2*f**3 + 0*f**3 + (-f**3 + 6*f**3 - 3*f**3)*(-1 + 1 + 3) to t*f**3 + c*f + x + s*f**2 and give t.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -13\/84 and 109\/31531458?\nAnswer: 63062916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 21\/(-35) + 5848\/20*-1. Let b = 313 + u. What is the remainder when 58 is divided by b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1718178*5.\nAnswer: -8590890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 99532?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.4 and 66.64?\nAnswer: -26.656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (7\/60)\/(-7)*(-47)\/((-4324)\/230)?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 2*x**2. Let w(d) be the third derivative of d**5\/60 + 7*d**3 - 55*d**2. Give j(w(s)).\nAnswer: 2*s**4 + 168*s**2 + 3528","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.5 and 81.9.\nAnswer: 82.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = 3*y - 28. What is c(12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -12*g**2 - 668*g + 7735. What is l(10)?\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -3*o - 76. Let y be n(-27). Sort -4, 2, y, -11.\nAnswer: -11, -4, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = a - 1. Suppose 2*g - 5 - 27 = -2*r, 2*g + 48 = 3*r. Suppose -2*u - r = -2*k, -4*k = 17 - 29. Give f(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 965\/9 + -107. Let s = 1506 - 1510. Sort o, s, 7 in increasing order.\nAnswer: s, o, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1001010110101000011 + -110001100001?\nAnswer: -1001011100110100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.4 and 92044.4?\nAnswer: -36817.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -6*y. Let c be n(-2). Is (c + -2)\/(1\/2) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 72 + -69. Suppose -5*x + u = -2*x. What is the third derivative of -18*q**6 + 0 - x + 1 - 9*q**2 wrt q?\nAnswer: -2160*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-8)*s*s*s*s**(-3)*s)\/((s*s**(2\/5)*s)\/s)**29 assuming s is positive.\nAnswer: s**(-238\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -547*s**2 + 42666*s - 3. Give f(78).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 135165 is divided by 35.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -0.1936 times 25.43\nAnswer: -4.923248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 11473 divided by -3084\nAnswer: -11473\/3084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 0 - ((12 - 9) + -14)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from wrwfffllfflfrlrfwol.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 29\/(-28) - (((-645)\/(-20) - 19) + -14).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*a - 5*n + 207, -2*a - 3*n + 122 = -5*n. What is the remainder when 1341 is divided by a?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n - 8*n = 65. Calculate the remainder when 92 is divided by (14 - n\/(-5)) + 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n, 1 t, and 2 w when four letters picked without replacement from {u: 2, w: 3, t: 1, n: 1, i: 8, b: 1}?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -164 + 2353805?\nAnswer: 2353631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*u - 5 = n, 0 = u + 2 - 5 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = j**2 + 11*j - 2. Let o = -17 + 15. Let l be 4\/o - 1 - 10. What are the prime factors of s(l)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 12782 or 28?\nAnswer: 12782","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 19 - 8. Calculate the remainder when x is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) be the second derivative of h**4\/12 - h**3\/3 - 5*h**2\/2 - 6*h. Suppose 0 = 4*p - 21 + 1. Calculate the lowest common multiple of m(4) and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 - (-4 - (-2 + -5))) + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 699 + 352 - m + 582.\nAnswer: -m + 1633","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 7 times -123\nAnswer: -861","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.8578 and 0.21.\nAnswer: -0.6478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -3*v**5 - 10*v**4 - 31*v**3 + 98*v**2 + 2*v - 2. Let f(d) = -d**5 + d**4 - 5*d**3 + d - 1. Let p(w) = -2*f(w) + x(w). Solve p(b) = 0 for b.\nAnswer: -7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*l + 516 = 9*l. What is l rounded to the nearest ten?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 24?  (a) -0.092  (b) 1  (c) 727\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 1 m when two letters picked without replacement from {k: 2, m: 8}?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -4*p + 20. Let h(m) be the first derivative of 0*m + 201 + 1\/3*m**3 + 0*m**2. Calculate n(h(w)).\nAnswer: -4*w**2 + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11100111 + 1001011101?\nAnswer: 101110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 12, l: 3, a: 2}. What is prob of picking 1 l and 1 a?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -c**3 + 10*c**2 - 10*c + 11. Let y be x(9). Suppose -3*b + b + y = 0. Is -2\/9 at least b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -15 + 3 - 37 + 32*o + 18 - 45 to the form t + n*o and give n.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 3*n**2 + 22*n + 9. Let s be a(-7). Let g(h) = 2*h - 10. Let m be g(10). Let l be 114\/15 - (-4)\/m. Solve -s*u = 2*u - l for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 526 minutes after 5:52 AM?\nAnswer: 2:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.7 less than 6656?\nAnswer: 6655.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 99 and 979?\nAnswer: 8811","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 476687999 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 67357?\nAnswer: 193, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 97*g - 83. What is the hundreds digit of k(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 286 = -18*p - 74. Suppose 4*s - 30 = 9*s. Let m be 2 + (p\/s + -4)*-3. Solve -4*o + m = -4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 9 + h**3 - 15*h**2 + 5 + 5 + 0*h**3. Let c be d(15). Let o(g) = -c*g + 2*g + g. Let v(j) = 2*j. Determine v(o(n)).\nAnswer: -32*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 550996 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(171)\/sqrt(3))\/((sqrt(12) + sqrt(108))\/sqrt(4)).\nAnswer: sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s = 3*z - 26, -5*z = -4*s + s - 38. Suppose 4*m - 8*m - 10 = -5*k, 2*k - z = m. Let p(n) = -17408 + 0*n + 5807 + 5804 + 5811 - n. What is p(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y and 1 t when two letters picked without replacement from {y: 11, t: 5}.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + 3620 = 3*t, -5*t + 15*v + 6035 = 18*v. What are the prime factors of t?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 128625697 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 226605 - 226605. Factor -6\/7*j**3 + 0*j + 2\/7*j**4 + 4\/7*j**2 + q.\nAnswer: 2*j**2*(j - 2)*(j - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 312*y**2 - 92*y**2 - 222*y**2.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -b + b**3 + 4*b + 12*b to y + l*b + v*b**3 + q*b**2 and give l.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -0.4, 2, 30, -3, 0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 7\/((-28)\/(-52))*1. Suppose 4*v + 3222 = d*v. Calculate the remainder when v is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*s = 7*s - 1855. Which is smaller: -372 or s?\nAnswer: -372","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -91124734*w**2 + 43527490*w wrt w.\nAnswer: -182249468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2)\/3*6\/(-28). Let n = -8 - -11. Let p = n - 5. What is the second biggest value in p, d, 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 25*t + 11840. Let h be y(0). What is h rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 93 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 11 + 10?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 1034 to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 69 - 65. Solve -j*o + 8 = -0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2*o**2 - 63*o**4 + 2*o**3 + 17*o**4 + 8832 - 79*o**4 - 68*o**4 + 0*o**3 wrt o?\nAnswer: -772*o**3 + 6*o**2 - 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 584\/16 + (-3)\/(-2). Suppose 0 = h + 4*c - 2 - 16, -h + c + w = 0. Calculate the remainder when h is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) be the second derivative of b**4\/24 + 27*b**2\/2 + 37*b + 1. Let d(i) be the first derivative of o(i). Let t(l) = 7*l - 7*l + 14*l**2. Give t(d(n)).\nAnswer: 14*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: Let b = -914 + 1071. Suppose 2*f = 4, -b = a - 2*a + 4*f. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-26)\/(-4))\/(8\/16). Let c = 26 - j. Is c a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 divided by -4520893\nAnswer: 4\/4520893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 19824273 and 1323.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -3*n, -4*f - 2*n = -18 - 2. Let j = f + 2. Solve j*v - 2*v - 4 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-2\/11)\/((h**(-14)*h)\/h)*h**(-3\/13)\/h**(-2))**45 assuming h is positive.\nAnswer: h**(100305\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -2*x, -6*o + o + 4*x + 6 = 0. Let d = -1.9 - -1.6. What is the second biggest value in o, 0.5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 17833226 to the nearest integer?\nAnswer: 4223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*(-1*sqrt(100)*2 + sqrt(100)))\/((-1*sqrt(44)\/sqrt(2))\/(-1*(sqrt(11) + sqrt(176)))))**2.\nAnswer: 5000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 62192 divided by -2?\nAnswer: -31096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1053.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -f*x + 49*f + 838*x + 1 wrt f?\nAnswer: -x + 49","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y, 1 l, and 2 z when four letters picked without replacement from yyzlzlyzllly?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4 + 14 - (3 + 6)) + (-11 - 1).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -714 or -717?\nAnswer: -717","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.099748 + -0.1. Round i to 5 decimal places.\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 13425552 to the nearest one million.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 979046908?\nAnswer: 2, 7, 349, 100189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 160*a - 220*a + 2700 = 0. What is the smallest common multiple of a and 960?\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (30\/(-11250)*-25)\/((-1)\/(-4))?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*n = -11*n + 20. Solve n*m = -16, -2*m = -2*x + 2*m + 8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1\/(-5) - (-214)\/920. Let b = 353\/460 + q. Sort -1\/3, b, 2 in decreasing order.\nAnswer: 2, b, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(147) + 0 - sqrt(147))*-2 + 5*sqrt(147)*-1)**2 - (-3 + (sqrt(147)*-1 + -1 - sqrt(147))).\nAnswer: 14*sqrt(3) + 3679","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -16*p**2 + 1781*p + 73055.\nAnswer: -32*p + 1781","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w + 3*f = 7377, 61 = -3*f + 40. Calculate the smallest common multiple of 8 and w.\nAnswer: 9864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -f**2 + 5*f - 1. Let o be a(3). Let z be (4\/o)\/(2\/(-10)). What are the prime factors of 6\/(-8)*z + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 6478268 and -125.7561?\nAnswer: 6478393.7561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*c + 4*d + 56, -2*c = -0*c + d - 40. Suppose -2*q + 19 - 5 = 4*f, 0 = -4*q + 2*f + c. List the prime factors of q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -0.02, -26, -0.4, 2\/5 in descending order.\nAnswer: 2\/5, 0, -0.02, -0.4, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from iiiw. What is prob of sequence iwii?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*-74765.\nAnswer: 149530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -144, -927, -3052, -7191, -14016?\n\"Answer: -112*p**3 + p**2 - 2*p - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) be the third derivative of -4*f**7\/35 + 242*f**3\/3 - 188*f**2. Find the first derivative of h(u) wrt u.\nAnswer: -96*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 5200 and 1098779338.\nAnswer: 1098784538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2013 and 72699.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -19*s**2 + 332*s - 2331. Determine n(7).\nAnswer: -938","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express (46*k**2 + 26*k**2 - 51*k**2)*(6 - 2 - 2) in the form q*k + x*k**2 + y and give x.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 3 - 3 - 1 - -3. Suppose -q*y - 3*y = 4*j - 54, -y + 4*j + 30 = 0. Is y a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 5717002*m**3 - 3*m**2 - 2*m + 3. Let f be x(1). What is f rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 divided by -14857177\nAnswer: 1\/14857177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 90, 442, 924, 1530, 2254?\n\"Answer: -b**3 + 71*b**2 + 146*b - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -104*j + 137280 = 52*j. Calculate the highest common factor of j and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.191124298 to 4 dps.\nAnswer: -1.1911","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 251 - 133. Let u = 125 - g. Let s = -3 - -7. What is the remainder when u is divided by s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = c**3 - 41*c**2 + 16*c - 142. Let j be g(41). Let h = -385 + j. Is 2 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6\/45*(5 - 4).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (2\/4)\/((2 - 4)\/1028). Suppose 4*u + 2*g + 3330 = 0, 3*u + g + 2475 = 4*g. Let r = o - u. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = -5*q - 8. Let a(m) = -5*m**2 + m + 1. Let k(d) = 6*d**2 + 2*d + 2. Let j(p) = -12*p**2 - 3*p - 3. Let n(i) = 3*j(i) + 5*k(i). Give q*n(w) + 4*a(w).\nAnswer: -2*w**2 + w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2)\/((-12)\/177) + (-2)\/(-4). Suppose i - 36 = 3*p. Sort p, 5, -3.\nAnswer: -3, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor a**2\/6 - 98153*a\/6 + 49076\/3.\nAnswer: (a - 98152)*(a - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 14211 and 13761?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 65 - 65. Find the first derivative of -17*c**3 + 0 + b + 4 - 1 wrt c.\nAnswer: -51*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -u**2 + 11*u - 4. Let r be g(11). Let c be (-1)\/((-3)\/48*r). What are the prime factors of (-1)\/((-972)\/(-244) + c)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 21348335 is divided by 470.\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2)\/((-13)\/6 + 2) - 4. Suppose g = 5*o - 212. Suppose 0 = -2*x - 4*u + 26, u + 31 = 2*x - 0*x. What is the remainder when o is divided by x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9625 is divided by 641.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*r = -16*r - 245. Let v(l) = -3*l**3 - 3*l**2 - 10*l - 33. Is v(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -143?  (a) 0.3  (b) 0.1  (c) 0.25  (d) 3  (e) -2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) be the second derivative of h**4\/12 + 11*h**3\/6 - 3*h**2\/2 - 4*h. Let i be u(-11). Let d be i*((-51)\/(-54) - 1). Is d <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of l*s**3*z**2 + 6*l*s**3*z + 39*l*s**2*z**2 + 8*l*z**3 + 39*l + 5851*s**3*z**3 - 9*s**2*z + s**2 wrt z.\nAnswer: 48*l + 35106*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = h**3 + 15*h**2 - h - 21. Determine q(-15).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1702?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 178396 to the power of 1\/2, to the nearest integer?\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -21 - -16. Let n(v) = -3*v**3 - 10*v**2 + 2*v - 6. Let y be n(q). Suppose y = 5*s + 29. Does 3 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*g = 4501 - 139. What are the prime factors of g?\nAnswer: 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p - 3 = j - 3*p, -33 = -4*j - 5*p. Is ((-4)\/5)\/(((-24)\/44130)\/j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*r + r**2 + 2*r**2 - r**2)*(29*r - 2*r + 37*r).\nAnswer: 128*r**3 + 128*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:45 PM and 11:32 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1467, 2949, 4479, 6075, 7755?\nAnswer: 9537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11488 is divided by 1137?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is eighty-one quarters of a microsecond in nanoseconds?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 110460 and 420?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 7*6\/84*(-2)\/1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 79 + 239. What is the remainder when m is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 83 - 185 = -34*h. Let d(j) be the second derivative of 25*j + 0*j**h + 0*j**2 + 0 + 19\/12*j**4 + 19\/20*j**5. What is the third derivative of d(m) wrt m?\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 87719 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) be the third derivative of s**6\/120 + 7*s**5\/30 - 13*s**4\/24 + 13*s**3\/6 - 52*s**2. Is z(-14) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 5717866.00003 + -5717842. Let a = c - 24. Round a to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 + 0 = g. Suppose -4*y = -5*n + g, 5*n - 15 = 2*y - 0*y. Suppose 214 = y*k - 4*c + c, 2*k - 90 = -c. Is k a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) be the third derivative of j**6\/144 - 11*j**4\/24 - 7*j**2. Let c(h) be the second derivative of y(h). Let a(s) = -2*s. Calculate c(a(u)).\nAnswer: -10*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31 - 3 = 4*j. Let b be 2745\/21 + 2\/j. Suppose 5*v - b = 5*y - 21, -5*y - 58 = -3*v. Does 13 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -505.2 + 510.2. What is the fourth smallest value in 0.06, -0.022, v, -0.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -j - 5. Let l be c(-8). Let i be (l - 2) + -4 + 13. Find the second derivative of -y + 0*y + 2*y + i*y**3 - 5*y wrt y.\nAnswer: 60*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 266*m**2 + 1133 - 2526 + 1117 wrt m?\nAnswer: 532*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14604 is divided by 7150.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = 11*d**3 - 17*d**2 - 118*d - 185. Give l(-2).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.36872 nanograms in grams?\nAnswer: 0.00000000936872","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: What is 4 divided by 724?\nAnswer: 1\/181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (14255 - 14255 - 1333*v**2 + (2*v**2 - v**2 + 0*v**2)*(4 - 1 - 1) - 3*v**2 + 3*v**2 - v**2)*(4*v + v - 6*v) to w*v**2 + b*v + h*v**3 + n and give h.\nAnswer: 1332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = 4*g - 46. Determine v(12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 85 - 282. Let c = q + 196.9999734. What is c rounded to 6 dps?\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 greater than 246326935?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 637107 a multiple of 321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 843 - 843 + 6586531*g - 6586532*g.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 2*d + 6 = 0, -4*z - 2 = 3*d + 2. Suppose -z*m = -27 - 13. Calculate the highest common divisor of 50 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1453724 divided by -6.\nAnswer: 726862\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -165 - -214. What is the remainder when l is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -521 * -1181.\nAnswer: 615301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3960828262?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22 + 7 = 3*p. Let r(i) = -6*i + 2. Let g(b) = -13*b + 5. Let f(q) = p*r(q) + 2*g(q). Let o = 7 - 6. What is f(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 21\/(-49) + 115\/7. Solve o = 7*r - 3*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 320.52 rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = 6*i + 6*i - 6*i. Let y(c) = -c**2. Calculate s(y(h)).\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 13728204 and 3591.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -y**2 - 43*y - 226. What is the remainder when o(-9) is divided by 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -153120 and 1.\nAnswer: -153120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((0 - -74804)*(2 + -3))\/(-1). Let h = -29846839\/399 + y. Let p = 2\/57 - h. Which is the fourth smallest value?  (a) -0.3  (b) 0.5  (c) 1\/5  (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 11187.25 and -61840.\nAnswer: -50652.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find b, given that 4*b**5 - 740*b**4 - 39124*b**3 - 517852*b**2 - 1290912*b - 811440 = 0.\nAnswer: -21, -2, -1, 230","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -393*m - 60. Let u be s(-3). Suppose 0*t + 746 = 2*t + 3*n, -3*t + u = -n. What is the remainder when t is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -i**3 - 5*i**2 - 5*i - 16. Give k(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = -y - 3*y - 2*k, -k = -5*y + 14. Solve -2*x - y*x - 15 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1 + 3. Suppose -r + 15 = -3*f, -r + 5*f = 6*f + 5. Suppose 3*h + 5*d + 25 = 0, r*d = -h + 3*d + 15. Solve j - i = -h*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 50444*c*t - 96*c*x - 282*c + 61562*t*x + t wrt x?\nAnswer: -96*c + 61562*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 50 + 6. Let s = k - 53. Calculate the smallest common multiple of s and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 12958?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2 - -1. Let p = -0.1 - h. What is p rounded to one dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*o = -2*o + 84. Does 12 divide (-9)\/o - (-762)\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = 130*n + 88. Let q(s) = -3740*s. What is v(q(c))?\nAnswer: -486200*c + 88","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 40450107 to the nearest integer?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6696*c = 6698*c + i - 6, -3*c + 9 = i for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1226795832177 less than -0.3?\nAnswer: -1226795832177.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -6*m**3 - m + 2*m**2 - 3*m - m**2. Let w(z) = -45*z + 115030*z**2 + 42*z - 115029*z**2 - 5*z**3. What is -3*l(n) + 4*w(n)?\nAnswer: -2*n**3 + n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 16 and 8894.\nAnswer: 71152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 19\/39 and -17\/9.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 169468 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3)\/(-25))\/(12\/8).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -j**3 + j**2 + 2*j - 3. Let p(o) = 2*o**3 - 2*o**2 - 4*o + 7. Let w(z) = 2*p(z) + 5*t(z). Determine w(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (40*w**2 + 418 - 418)*(4*w**2 - 4*w**2 - 2*w**2) to c + x*w**2 + u*w**4 + k*w + l*w**3 and give u.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -l**6*w**3 - 12678*l**4*w**3 + 524*l**2*w**3 + 6*l - 4*w**2 wrt l?\nAnswer: -120*l**3*w**3 - 304272*l*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 19277?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-219 - 46*n + 219)*(0*n**4 - 4*n**4 + 2*n**4) + 0*n + 0*n - n**5.\nAnswer: 91*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (99*n - 14 + 14)*(-4 - 6 + 0 - 12 - 9).\nAnswer: -3069*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 + 224\/13*z**4 - 4\/13*z + 46\/13*z**2 - 176\/13*z**3.\nAnswer: 2*z*(4*z - 1)**2*(7*z - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*i - 3*i + 2856. Let m = -103 + i. Let j(r) = r**2 - r - 5. Let y be j(5). Calculate the greatest common factor of y and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 116 - 83. Let n = 59 - b. Is n a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 43417?\nAnswer: 11, 3947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 37\/37280728 and 131\/492.\nAnswer: 4585529544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = 8*y**3 - 3. Let m(z) = 152*z**3 - 56. What is -6*m(s) + 112*o(s)?\nAnswer: -16*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from blybnmk. Give prob of picking 1 b and 1 l.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 0.3  (b) -4  (c) 0.13  (d) 267\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) be the third derivative of p**5\/60 - 5*p**4\/12 - 5*p**3\/3 - 3*p**2. Let u be h(11). What is the highest common divisor of u and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h - 3*h = 2*j, -5*h = 2*j - 21. Suppose 0 = 2*f + 2*f - 3*p - 5, -3*p = 2*f - 25. Solve -j = -f*k + 7 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of c**3*d**3 - 2*c**3*d**2 + 101*c**3*d - 6*c**2*d**3 + 2*c**2*d**2 + 2*c**2 + 313885*d**3 - 2*d**2 + 26093 wrt d?\nAnswer: 6*c**3 - 36*c**2 + 1883310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence teo when three letters picked without replacement from {e: 2, n: 2, t: 3, c: 3, a: 1, o: 4}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/5)\/((-1768)\/(-910) + 81\/(-45)).\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 87174844347 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (5 - (3 + -4))\/(-1) + -26*(-265)\/(-1378)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*q - 5*q - 3. Suppose 6 = 2*d - 0*d. Suppose q = 3*g - 6*g + d*s, 2*s = 4*g + 4. Which is greater: g or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 4*u**2 - u - 6. Is l(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -20*g**3 + g - 1. Let y be l(1). Let n = y - -90. Suppose 3*x = -2*x + n. List the prime factors of x.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 7\/(-21) - -148*3\/9. What is the greatest common factor of 2401 and r?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l\/((l**(3\/5)\/l)\/l*l)*l)\/l**2)\/(l\/(l\/(l*l**3))*l**(4\/7)) assuming l is positive.\nAnswer: l**(-146\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (sqrt(1088) - (-3*(sqrt(1088)*-2 + sqrt(1088)) + sqrt(1088) - sqrt(1088)) - sqrt(1088))**2.\nAnswer: 9790","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1513 = -17*n - 107423. Let v = 29 - n. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4?  (a) -3  (b) 0.2  (c) -34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2374 + -2283 + -54 + -3.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26*u = 23*u - 6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) be the first derivative of 2*k - 6 + 7\/2*k**2. Calculate h(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y**4 + y**3 - 3*y**2 - y + 2 = 0. Calculate y.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 34*q**2 + 43*q**2 - 11*q**3 - 77*q**2 + 77*q**3 + 20*q**3.\nAnswer: 86*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*x**3 - x**3 - 4*x**3 + 4*x + 4*x**3 - 4*x + (3 - 2 + 1)*(-4*x**3 + 0*x**3 + 3*x**3) to the form u*x + l + k*x**2 + p*x**3 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*i - 4*w - 12, w + 5 = -i + 2. Suppose 14*x - 74 + 4 = i. Put 1, 6, x in ascending order.\nAnswer: 1, x, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (1 - 4) + (24 + -8 - 7)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -2*i - 3*i + i**3 + 2*i**2 - 4*i**2 + 4*i + 2. Let m(z) = -4*z**3 + 7*z**2 + 4*z - 7. Let j be 41\/((-3321)\/180) + (-4)\/(-18). Give j*m(b) - 7*l(b).\nAnswer: b**3 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is n in -4*n**3\/7 + 652*n**2\/7 + 4792*n\/7 - 2374240\/7 = 0?\nAnswer: -55, 76, 142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4904 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) be the second derivative of 5\/6*g**3 - 10*g + 1\/20*g**5 + 0 - g**2 + 11\/12*g**4. Does 10 divide o(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 92671, 185347, 278031, 370723?\nAnswer: 463423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1444841?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 2104228331 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (2 - (-62)\/(-5)) + (-2)\/(-5). Let y = 123 + n. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -378*r + 29*r + 6 - 348*r + 1.\nAnswer: -697*r + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 662726.\nAnswer: 2, 229, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put -2813, -1, -37, 0 in decreasing order.\nAnswer: 0, -1, -37, -2813","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -368399\/2036510 - -1\/21665. Let g = 28456\/1833 + -202\/13. Let y = g - q. What is the common denominator of 95\/8 and y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -d**2 + 98*d - 97. Determine n(99).\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 384 divide 7600767?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:15 AM and 4:56 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -n**3 + 11*n**2 + n - 4. Let d = -82 + 87. What are the prime factors of m(d)?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*n + 24 + 36. Does 18 divide n - -48 - (-4)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 40 + -28. Suppose -9*i + w*i = 0. Let k(g) = g**3 - g + 15. What is k(i)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -542573 (base 12) to base 9\nAnswer: -2448256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**(-6)*q**(-1\/11)*q**26\/(q*(q*q**(-3\/4))\/q) assuming q is positive.\nAnswer: q**(865\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 21\/8 of a microsecond?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bxx when three letters picked without replacement from cxxxxcxxbxcccxxxx.\nAnswer: 11\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -17407 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -41 + 41.00000138. Round d to 7 decimal places.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -m**2 + 6*m + 2. Let q be x(6). Suppose -5*h + 29 = k, q*k = 4*h - 2*k - 4. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 95c980 + 2d?\nAnswer: 95c9ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 71 a factor of 227435412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 3 - (-15)\/21*-4. Which is the third smallest value?  (a) -1  (b) x  (c) 23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*r**4 + 2*r**4 - 4*r**4 + (3*r**2 + 0*r + 0*r)*(-2*r**2 + r**2 - 9*r**2).\nAnswer: -32*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 368\/3 - 122. Which is the third smallest value?  (a) -0.06  (b) 2\/7  (c) x  (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 532 and 11032?\nAnswer: 209608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -f**2*t + 62858*f**2 - 6*f*t**2 + f - 4380931*t**2 - 1 wrt f?\nAnswer: -2*f*t + 125716*f - 6*t**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 82*n**3*p**2 + 632*n**3 + p**3 + p wrt p?\nAnswer: 164*n**3 + 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -316460 divided by 4?\nAnswer: -79115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(17) + sqrt(68))*4 - sqrt(17) - (2 + sqrt(272) + sqrt(17))**2.\nAnswer: -429 - 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-16)\/(-4))\/(26\/(-39)) + -3?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*t + 3*t + 12 = 0. Suppose 0 = -5*j - 4*v - 2 + 29, 3*j - 2*v = t. Suppose -j*c + 3 = -39. Solve 0 = 4*g - 2 - c for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) be the third derivative of k**8\/168 + 13*k**6\/120 - 15*k**4\/4 + 139*k**2. What is the second derivative of u(n) wrt n?\nAnswer: 40*n**3 + 78*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 4014 - 3864. Solve 163*v + 78 = q*v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -v**3 - 4*v**2 + 11*v - 5. Let l be j(-6). Put -1\/27, 2\/7, l in increasing order.\nAnswer: -1\/27, 2\/7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -h**2\/3 - 48413*h.\nAnswer: -h*(h + 145239)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h = -4*h + 2*h. Suppose h = -2*n - 2*n + g + 60, 4*n - 84 = -5*g. Solve -p + n = 2*p + 2*b, -2*b + 14 = 2*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*z + 13 - 16 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -q. Let z(s) = -1450024*s. What is u(z(i))?\nAnswer: 1450024*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -7100064 or -7100034?\nAnswer: -7100064","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*t + 2*p = -2*p - 32, -t + 5*p + 21 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 2*z**2 - 7*z - 4. Let o(k) = 2 + 4*k + 2 + 2*k - 2*k**2. Let d(l) = -8*l**2 - 129*l - 392. Let m be d(-12). What is m*s(x) + 5*o(x)?\nAnswer: -2*x**2 + 2*x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 15 + 17 = 0. Let u = 2 - t. Suppose -3*c + 5*n + 573 = 172, c - 5*n - 137 = u. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -2\/7, -19, 31, 5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 at most -810\/1187?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 74*12\/(-63) - 28\/(-294). Let l be a\/12 + -70 + 72. Let v = 0.2 + -0.1. What is the closest to 0.1 in l, v, -0.05?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 2*a + 4 = -2*a, 1 = -4*g - a. Suppose 2*r - 15 = -2*f + 73, g = -3*r - 12. Calculate the remainder when f is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -32*i + 94 = -5*q, 3*i - 793*q + 390*q - 24 = -400*q for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -61609 = 3443*d + 216458 - 74157 + 88745 for d.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2 - 28\/13 - (-15616)\/104. Let j = l - 148. Solve j*q + 3 = -q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 11 - 10. Let t be s*0\/(9\/(-3)). Let a(m) = -m**3 + m**2 + 18. Does 6 divide a(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = u**3 + 5*u**2 + 4*u. Let t be w(-4). Solve t = p - 5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6381\/440 not equal to 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37*v = -75 - 141 + 31. Let b(h) = 9*h**3 + 3*h**2 - 5*h + 1. Let u(p) = -4*p**3 - p**2 + 2*p. What is v*u(y) + 2*b(y)?\nAnswer: -2*y**3 + y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -21*r + 12*r - 91 - 23*r - 11*r. Let h(v) = 9*v + 18. Let b(y) = 33*h(y) + 6*s(y). Differentiate b(z) wrt z.\nAnswer: 39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -32 by -49.\nAnswer: 32\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 8062 and 1390?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ullknln. What is prob of picking 2 l?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*b**2\/8 + 7167171*b\/4 - 14334339\/8.\nAnswer: -3*(b - 4778113)*(b - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -45, -40, -35, -30?\n\"Answer: 5*b - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 11, -1, 0, 78 in descending order.\nAnswer: 78, 11, 3, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) be the first derivative of 29*t**4\/4 - 18*t + 29. Differentiate h(f) with respect to f.\nAnswer: 87*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(sqrt(561)\/(sqrt(33)\/sqrt(3)))\/(sqrt(27)\/(sqrt(9) + (-1*sqrt(9) - sqrt(9))) - sqrt(3)).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -514 - -506. Let d(r) = 5*r + 37. Let h be d(a). Put -180, 4, h in decreasing order.\nAnswer: 4, h, -180","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -429, 0, -13 in descending order.\nAnswer: 0, -1, -13, -429","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in three fifths of a kilometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -2204 + 0?\nAnswer: -2204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p - 24 = 5*i, -1 = 4*p + p - i. Let b be (1*-1)\/(p*(-6)\/(-150)). Solve -z + 6*z = -b for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 43833.\nAnswer: 3, 19, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 822 + -818. Solve -3*v = -g*w - 31 - 0, -24 = w - 4*v for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1163 is divided by 377.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = k**2 + 125*k - 7536. What is the ten thousands digit of q(95)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 3 + 2)*(-11*a - 3*a - 5*a)*(11*a**2 - 23*a**2 + 8*a**2).\nAnswer: 76*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 2*v**2. Let l(o) be the third derivative of o**4\/4 - 16*o**2. Give l(u(r)).\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of d**6 + 9*d**4*n - 28129*d**3*t - 1019*d**2*n + 924*d*n*t wrt d?\nAnswer: 120*d**3 + 216*d*n - 168774*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Total of -4853905 and 0.\nAnswer: -4853905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Determine z so that 4*z**4 + 6340*z**3 - 161328*z**2 - 528304*z - 360640 = 0.\nAnswer: -1610, -2, -1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -2*d**2. Let q(b) be the third derivative of 7*b**5\/30 + b**2 - 8*b. What is q(a(l))?\nAnswer: 56*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 646*w + 1 + 285*w**2 - 91*w**2 - 96*w**2 - 100*w**2 as f*w + b + m*w**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1.423 in -3, 1\/4, -1214?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 82da (base 16) in base 8?\nAnswer: 101332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 491 minutes before 8:35 PM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = 6*o**3 - 2*o + 2. Give u(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 + 3 - 6)*(915*b + 537421 - 537421 - 12086*b) as h*b + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = i**2 + 2*i + 1. Let j(h) = -14*h**3 + 15*h**2 + 4*h + 2. Let g(d) = -2*j(d) + 4*p(d). What is the third derivative of g(o) wrt o?\nAnswer: 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -96 - 2*w**2 + 96.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*r**3\/11 + 1102*r**2\/11 + 164638*r\/11 + 3458450\/11 = 0. Calculate r.\nAnswer: -263, -25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -12 - -14. Find the first derivative of 194*o**2 + 7 + 5*o**3 - 194*o**a wrt o.\nAnswer: 15*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-16 + 17 - 2*b - 6*b)*(b**2 + 0*b**2 + b**2 - 4*b**2 + 4*b**2 - 2*b**2 + (7 + 1 - 1)*(b**2 + 3*b - 3*b)).\nAnswer: -56*b**3 + 7*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 50477669 divided by 4\nAnswer: 50477669\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*q - 360*q**2 - 6 + 2 + q - 2*q**3 + 2 + 358*q**2 to k*q**2 + w + i*q + y*q**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -62*o*w**4 - 2*o*w + 129*o wrt w.\nAnswer: -248*o*w**3 - 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 29*s**2 + 3*s + 10. Let m(x) = -28*x**2 - 4*x - 11. Determine 4*j(l) + 3*m(l).\nAnswer: 32*l**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4 + -1 - -2) + 2 + (32 - (81 + -12))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 7740 and 180.\nAnswer: 7740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -7, -3\/4, 5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -19 divided by -316316\nAnswer: 19\/316316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ggplegglllvlekgk. Give prob of picking 1 p and 1 l.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -60 + 48 + 1 + 4.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15 = -11*x - 29, z = -3*x - 12 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 17582 and 177?\nAnswer: 52746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -187 + 8*s - 2*s + 150 + 3*s - 3*s.\nAnswer: 6*s - 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (1\/3)\/(2\/12). Suppose 0 = 60*u - 57*u - 6. What is the highest common divisor of u and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 147883948*g**3*s + 21*g**2*s + 42*g**2 - g*s + 23*g - 2*s + 50 wrt g.\nAnswer: 887303688*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 1, g: 3, x: 1, p: 1, h: 1}. What is prob of sequence mgp?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -1 divided by 4\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z = z - 30. Let w = z - -7. Which is the third smallest value?  (a) w  (b) -5  (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 46, 40, 24, -8, -62, -144, -260, -416?\n\"Answer: -j**3 + j**2 - 2*j + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -111*i**2 + 4172 - 4172.\nAnswer: -111*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 35*a + 43*a + 390 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6531 - 209*z**2 + 6531)*(z - z**3 - z)*(-5 + 4 - 3).\nAnswer: -836*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 161003 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -16*d + 0*d**2 - d**2 + 0*d**2. Let s(g) = 112*g - 23*g - 69*g - 22*g. Determine k(s(v)).\nAnswer: -4*v**2 + 32*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2478 - -2871.6. What is l rounded to the nearest 10?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5760 by 5.\nAnswer: 1152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*q**2\/3 - 70*q\/3 - 64.\nAnswer: -2*(q + 3)*(q + 32)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from {c: 1, j: 16, x: 3}?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that 3\/4*k + 0 + 1\/4*k**3 - k**2 = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = k. Let f(u) = 2070*u**2 - 36*u - 1. Determine v(f(g)).\nAnswer: 2070*g**2 - 36*g - 1","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: Express (268 + 1255 + 707)*(2*g**3 - 4 + 4) - 2*g**3 - g**3 + 2*g**3 as v*g**3 + x*g + q + z*g**2 and give v.\nAnswer: 4459","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is three tenths of a millennium in decades?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 6740.1576 rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -3, -78, -2 in descending order.\nAnswer: 3, -2, -3, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 10860 - 10628. List the prime factors of q.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j*(j**(-1\/9)*j)\/j)\/j*j**0*j*(j**(1\/4))**(8\/17)*((j\/(j*j*(j\/((j*j**1\/j)\/j))\/j*j)*j)**(7\/6))**(1\/20) assuming j is positive.\nAnswer: j**(11923\/6120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 182552419 is divided by 67?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 43481 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 420.907 - 1.507. Let w = -419 + z. Let y = -0.06 - 0.94. Which is the closest to y?  (a) -1\/4  (b) w  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 36 divided by -1720764?\nAnswer: -1\/47799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.3 - 0.8. Suppose 0 = -7*d + 11*d + 8. Let w = -0.5 - -0.5. Which is the second smallest value?  (a) x  (b) d  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q = -3*b + 2318, -3*q + 1159 = -2*q + 2*b. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -54*k**3 + 19*k**3 - 63*k**3.\nAnswer: -98*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r + 3*r - 8 = 0. Let y(p) = -2*p**3 + 8*p**2 + p**3 - r*p**2 + 5 - 5*p. What is the units digit of y(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -147574, -147955, -148336, -148717, -149098, -149479?\nAnswer: -149860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) be the first derivative of o**6\/360 - o**3\/3 - 1. Let t(w) be the third derivative of h(w). Let m(y) = -3*y. Give m(t(u)).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ghdgglghilh. Give prob of sequence hli.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.049, -0.4, -5, 2 in decreasing order.\nAnswer: 2, 0.049, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) be the second derivative of 23*n**6\/10 - 7*n**3\/2 - n**2\/2 - 62*n. Find the second derivative of u(r) wrt r.\nAnswer: 828*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor p**3\/6 + 41129*p**2\/3.\nAnswer: p**2*(p + 82258)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -15 + 9. Let a(i) = -i**2 - 5*i + 6. Let y be a(c). Let k(r) = -r**3 + r**2 - r + 10. Let q be k(y). Solve -4*n - 3*t = 17, -n - t + 5*t = -q for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 + c**3)*(-10 - 7 + 23).\nAnswer: 6*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 21.89 - 22. Let j = o - -6.61. What is j rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -12 + (-19 - -13) + 10\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (((sqrt(272) - (sqrt(272) + 1))**2 - sqrt(17)) + -4 + 2 + sqrt(17))*2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 0 + 0 - 0\/(-2). Let r be (-2)\/(1 - j - 2). Suppose r*l + 2 - 6 = 0. Solve 0 = 2*n + 4*s - 26, -2*n + 0*n - l*s + 16 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2285*k + 55122 - 31178 = -921*k - 53804 for k.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -124 - -127. Suppose 0 = 3*z - 4*o + 14 - 72, 0 = -w*z + o + 64. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 4, e: 2, o: 1}. What is prob of picking 1 o and 2 e?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.008328 rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = 6*u**3 - 170*u**2 + 84*u - 764. Give f(28).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c = -3*o + 2*c + 727, -473 = -2*o + c. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 132*a**2 - 58. Let v(r) = -134*r**2 + 57. Let q = 377 - 382. Let n(d) = q*i(d) - 4*v(d). Differentiate n(b) with respect to b.\nAnswer: -248*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 divided by -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 39293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i = 3*i. Suppose -6*j + 2*j - 2*k + 230 = 0, -j - k + 59 = i. Suppose j + 85 = 3*x. Is x a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -11607, -22993, -34165, -45129, -55891?\n\"Answer: -g**3 + 113*g**2 - 11718*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 292 + -168. What is the tens digit of 21\/6*u\/14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = z**2 - 7*z + 2. Let h be d(7). Suppose -2*i = -2*j + 12, 4*i + h*j = -15 - 33. Calculate the lowest common multiple of 4 and ((-16)\/i)\/((-1)\/(-10)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1073.23 to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = 691*g**2 - 11*g - 678. Let m(u) = -231*u**2 + 4*u + 226. Let j(i) = 11*m(i) + 4*s(i). Differentiate j(z) with respect to z.\nAnswer: 446*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(((sqrt(20)\/(-2*sqrt(2)) + sqrt(10))\/sqrt(2))**2 - 5*(-1 + sqrt(125))).\nAnswer: -150*sqrt(5) + 75\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, 0, -3, 7341, -2, 4 in ascending order.\nAnswer: -3, -2, 0, 4, 7, 7341","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -21  (b) -2.2  (c) 49  (d) -8  (e) -1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = 330*n**2 + 36*n - 46. Let z(f) = -66*f**2 - 7*f + 9. Let g = -287 + 303. Let u(q) = g*z(q) + 3*i(q). Factor u(p).\nAnswer: -2*(3*p + 1)*(11*p - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 84 + -67. Let j(h) = -h**3 + 19*h**2 - 13*h + 39. List the prime factors of j(l).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 225123.4ml?\nAnswer: 225.1234","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in 8\/6637, 1, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is -12\/4032929 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -46039*c + 230191. Calculate r(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -2*s**3 + 7*s**2 + 11*s - 3. What are the prime factors of d(-5)?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 81*a - 81*a + 29*a**2.\nAnswer: 29*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 38 minutes before 12:26 AM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 21183.04l in millilitres?\nAnswer: 21183040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -12507 times -5?\nAnswer: 62535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 14\/3 - 2*w**2 - 1\/3*w**3 + 3*w.\nAnswer: -(w - 2)*(w + 1)*(w + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4\/185 + -23\/37. Sort 0.4, -0.2, p, -2\/7.\nAnswer: p, -2\/7, -0.2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1075319*a*j**3 + 4*a*j**2 + 2678631*j**3 wrt a.\nAnswer: 1075319*j**3 + 4*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -5\/6  (b) 228167  (c) 15  (d) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1.017942 + 60.978958. Let j = d + -62. What is j rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = u**3 + 4*u**2 + 10*u + 49. Let v be y(-4). Suppose v*a = 259 + 7193. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (200 - 71)\/(3*(3 - 8\/3)). Solve -26*h - 1 = k for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -l**3 + 4*l**2 - 2*l - 1. Let w be i(3). Suppose -2 = -2*q - 4*v - 0, w*q - 7 = -3*v. Suppose -2*d = -q - 9. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22736 = 814*d - 4828 for d.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 2, f: 3}. What is prob of sequence gf?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*c - 19*c = 15. Calculate the least common multiple of 12 and c*-4*((-51)\/6 - -8).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 0 - -35302153?\nAnswer: 35302153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*sqrt(396)*1 + (sqrt(396) + (-1*sqrt(396)*5 - sqrt(396)) - sqrt(396)))*-5)**2.\nAnswer: 89100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 1444386974 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (68\/425)\/((-4)\/10).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = v + 26. Let b be u(-13). Suppose -2*q + 195 = q. What is the greatest common divisor of q and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -2*l**3 + 57*l**2 - 49*l - 67. Let g be j(27). Let x = g - 766. What is the highest common divisor of x and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = j**3 + 3*j**2 + 7*j + 6. Suppose -2511*i = -2515*i - 16. What is r(i)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 25, 55, 89, 127?\nAnswer: 169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2029, 0, 1\/3 in descending order.\nAnswer: 1\/3, 0, -2029","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -13597610, -13597489, -13597368, -13597247, -13597126, -13597005?\n\"Answer: 121*q - 13597731","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -p**3 + 573662*p**2 - 82272022561*p.\nAnswer: -p*(p - 286831)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor l**2\/2 - 48701*l\/2 + 4801797.\nAnswer: (l - 48503)*(l - 198)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4108.0088 + 4104. Let x = 4 + k. What is x rounded to 3 decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 13 by 39.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (195\/70 - 3)\/(276\/48 + -5)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 68*u**2. Suppose -14*x - 247 = -523 + 248. Let c(d) be the third derivative of 0*d - 1\/24*d**4 + 27*d**x + 0*d**3 + 0. Determine c(b(o)).\nAnswer: -68*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -25*p**3 + 2*p + 1. Let y be g(-1). What is the common denominator of -23\/4 and (y\/336)\/(2\/118)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -355, -368, -397, -448, -527, -640?\n\"Answer: -n**3 - 2*n**2 - 352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is s in -102*s + 2539*s**2 - 336 - 2540*s**2 + 136 = 0?\nAnswer: -100, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1\/3, -4, -0.05, -1\/3, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2, -4, 14, 1\/8, -187, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 0 + 3*x - 4*x + (18*x - 12*x + 17*x)*(1 + 3 - 2))*(0 + 0 - x).\nAnswer: -45*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (1\/3 + -2)*-6. Let f be z*(2 + -1)\/1. Suppose f = u + u. Solve 9 = u*b + 29 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 8077 - 7913 + 1809*w**3 - 117*w**3 - 20*w + w**2 wrt w.\nAnswer: 10152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -2691, -5211, -7741, -10287, -12855?\n\"Answer: -i**3 + i**2 - 2516*i - 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-12)\/18*1*(-2)\/((-16)\/(-12)). Solve 0 = -3*r - 2*s + 9, 8*s - z = 5*r + 6*s for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 127916?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out 194 * 11.\nAnswer: 2134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -695 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 255447 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 105825 is divided by 1392?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w - w - 441 = -5*b, 4*b - 340 = 4*w. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -75*c + 34 = 88*c - 162*c + 5*a, -859 = -22*c + a for c.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Are 31 and 1314\/41 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -85\/14 and -89\/144614.\nAnswer: 1012298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 + 154 = 4*z. What is the lowest common multiple of z and 44\/((-129)\/(-234) - (-16)\/(-312))?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4*sqrt(475)*3 - (sqrt(475) - sqrt(475)*3)*4) + (-1*sqrt(152)*6)\/sqrt(8) + 4)**2.\nAnswer: 752*sqrt(19) + 167900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -90*n = 6 + 312 - 48 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 140703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4*(1*sqrt(330) - sqrt(330)))\/(sqrt(12)\/(sqrt(6)\/sqrt(3))))\/(sqrt(99)*4*1*3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -3.6 - 0.4. Let m(v) = -v - 4. Let o be m(-3). Let l be 4\/(-28) - (-2)\/14. What is the second smallest value in l, b, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = 2*b - 7. What is the remainder when k(8) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 3*h. Suppose 7*q - 56 = -7*q. Let k(g) = -8*g + 7 - q - 3. What is k(v(w))?\nAnswer: -24*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (9\/(-36)*51)\/(385\/44 + -8).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1141.7, 156, -3 in ascending order.\nAnswer: -1141.7, -3, 156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = b**3 - 9*b**2 - 11*b + 16. Let j be v(10). Let w(t) = 2*t. Let y be w(3). Suppose 0 = -y*g + 2*g + 8. Solve 4*r + j = g*s, -r - 1 = -4*s + 3*s for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = i**2 + 4*i - 2. Let g be q(-8). Differentiate -g*a**3 + 3344 + 5*a**3 - 3327 with respect to a.\nAnswer: -75*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 239956946?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2021201102001 + -1101?\nAnswer: 2021201100200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 317109.\nAnswer: 3, 13, 47, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 33.9594 centimeters to micrometers.\nAnswer: 339594","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -42107, -168413, -378921, -673631, -1052543?\n\"Answer: -42101*z**2 - 3*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = 15198 - 15198 + 5*t. Let s(g) = 2*g + 5. Let y(b) = b + 2. Let h(l) = -4*s(l) + 10*y(l). Calculate h(r(p)).\nAnswer: 10*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 + 148\/3*z**2 - 20*z + 5\/3*z**3.\nAnswer: z*(z + 30)*(5*z - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 245*t + 17356 = -536*t - 5945 - 910 for t.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) be the third derivative of w**6\/120 + 7*w**5\/20 + 11*w**4\/12 + 25*w**3\/3 + 41*w**2. What is the remainder when 29 is divided by n(-20)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 524 (base 6) to base 2\nAnswer: 11000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.68 + -0.7. Let q = j - -0.52. Sort q, -4, 2\/5 in decreasing order.\nAnswer: q, 2\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 203 + -87. Calculate the remainder when k is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3705, 9286, 14867?\nAnswer: 20448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 32 + 29. Let g = s - 63. Put 0.3, -5, 5, g in decreasing order.\nAnswer: 5, 0.3, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 22914?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 5 - 128*w + 63*w + 64*w. Let x(j) = -7 - j + 1 + 2*j. What is 4*q(t) + 3*x(t)?\nAnswer: -t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -12310 + 12886. What is the greatest common factor of f and 135?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-2 + 0 + 4)*(-3*t**2 - 2*t**2 + 6*t**2) - 5*t**2 - 2*t**2 + 4*t**2)*(-2 + 4 + 0)*(-64 + 98 + 77) as u*t + x + b*t**2 and give b.\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5031206047?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express 19 + 18 + 7*x - 3*x - 5*x as f + l*x and give f.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jjjjjjhhjj. What is prob of picking 2 j?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -34031, -136095, -306205, -544361, -850563, -1224811, -1667105?\n\"Answer: -34023*m**2 + 5*m - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5)\/(-20) - (1 - (-62)\/(-40)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -247030 + -1.1.\nAnswer: -247031.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 110  (b) 1\/4  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -k + 2 - 4 + 2 - 5 to z + v*k and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) be the second derivative of -1\/36*b**4 + 14\/9*b**3 + 29\/6*b**2 + 0 - 54*b. Factor z(c).\nAnswer: -(c - 29)*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (4 - 3 + 1)*(86*o**2 - 1320*o**4 - 86*o**2 - 1069*o**4) as s*o**3 + x + h*o + w*o**4 + u*o**2 and give w.\nAnswer: -4778","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1244558?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2 - 0. Suppose 14 = 2*k - 2*c, -r*c - 5 = k + c. Let i be 18 - (-6)\/(-9)*-3. What is the highest common factor of i and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*x + 2*x - 7 - 8*x to the form w*x + u and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n - 2 = 2*z + 11, -5*n = -2*z + 27. Let c = 769.1 - 769. What is the nearest to -3 in c, 5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 508096, 2032530, 4573258, 8130286, 12703620?\n\"Answer: t**3 + 508141*t**2 + 4*t - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 25 - 35. Let z = r + -5. Let c = 20.8 + z. Round c to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:31 PM and 9:31 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, -3, 3, -8, -1, -60.\nAnswer: -60, -8, -3, -1, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = v + 5*v. Let a(y) be the second derivative of -y**2 + 2\/3*y**3 + v + y - 1\/6*y**4. Factor a(s).\nAnswer: -2*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -15191, -60781, -136771, -243155, -379927, -547081?\nAnswer: -744611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.004304814 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 15300, 11639, 7978, 4317?\nAnswer: 656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -t - 6. Let o be w(-9). What is the second derivative of -u - 10 + 4*u**3 + 10 - u**o wrt u?\nAnswer: 18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3.5 - -1.3. Let d = -45 + 42.2. Let a = m + d. What is the fourth smallest value in 0, a, -4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -170304*z**6 + 430*z**3 + 9*z**2 + 8827011 wrt z.\nAnswer: -20436480*z**3 + 2580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*o = 9, 0 = -4*g - 363*o + 362*o - 9 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 6 - 9 - 11)*(-t - 2*t + 5*t).\nAnswer: -48*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Add -4 and 95018080.\nAnswer: 95018076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -42*r**2 + 27*r**3 + 1628 - 1628 - 9*r**3 + 42*r**2.\nAnswer: 18*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Determine s, given that 24640\/13*s + 2\/13*s**3 + 25088\/13 - 446\/13*s**2 = 0.\nAnswer: -1, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = g**3 + g**2 + g - 1. Let n(t) = -t**3 - 3*t**2 + 74*t + 3. Calculate 3*a(s) + n(s).\nAnswer: 2*s**3 + 77*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 5159*y**2 - 106*y - 292263 wrt y.\nAnswer: 10318*y - 106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*p = -p - 6*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7542*z**3 + 16132*z**3 + 43964*z**3.\nAnswer: 67638*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 2, a: 5, n: 13}. Give prob of sequence nq.\nAnswer: 13\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 37.939034631 less than 0.5?\nAnswer: -37.439034631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -5, 1, -12 in increasing order.\nAnswer: -12, -5, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1)\/9)\/((-8)\/36)*-1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1011 + -26. Let o = w + -981. Which is the third biggest value?  (a) o  (b) 1\/7  (c) 2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-80)\/(-240)*(-3)\/(-4)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5970566, 11941138, 17911714, 23882294?\nAnswer: 29852878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u - 2465 = -2468 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 514 minutes before 11:29 AM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) be the first derivative of -2*a**3\/3 + 1303*a**2\/2 - 1192*a - 1492. Find the first derivative of g(r) wrt r.\nAnswer: -4*r + 1303","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 431736960638 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1104 + 2*z**3 + z**3 - 1104.\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -u**3 - 15*u**2 - 13*u + 5. Calculate z(-14).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y = 4*d - 16, 0*d - d - 3*y + 12 = 0. Suppose -3*m - m = d. Solve -2*z + m*z + 10 = -i, 3*z = -4*i + 4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (86\/(-4))\/(42\/(-84)). Calculate the greatest common divisor of 731 and t.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -16*n + 1. Find the common denominator of d(2) and 15\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 18.7 and 16?\nAnswer: 299.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6*j**2 + 12*j**2 - 4*j**2 - 3*j**2 + 0*j**2 + 88*j to the form x*j**2 + f*j + c and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = t**2 - 141*t - 13. Let x(m) = -2*m**2. Determine v(x(l)).\nAnswer: 4*l**4 + 282*l**2 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 47 is divided by 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) be the third derivative of a**5\/60 + 2*a**4\/3 + 32*a**3\/3 + 83*a**2. Let j be l(-8). Solve j = -5*w + w - 16 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*n**3 + 5*n**3 + 8 - 8.\nAnswer: -6*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 9, -2, -5\/3, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*p**3 + 2*p**3 + 4*p**3)*(0*p**2 + p**2 + 0*p**2) + p**3 - p**3 + p**5 + (-5*p + 3*p + 0*p)*(-6*p**4 + 262*p**3 - 262*p**3).\nAnswer: 15*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 42*i - 17538 = 177*i + 118*i - 16*i for i.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*p - 5*p - 3002 = -77*p for p.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 87 - 83. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2713?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express (5 + 5 - 1)*(2*s - 2*s + s) - 24 + 17*s + 24 in the form a + l*s and give l.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = 8850*k. Let u be p(-2). What is u rounded to the nearest 1000?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0, 194, -31?\nAnswer: 194","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 19669 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 (48\/64)\/(1*(-306)\/48)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -9 + 1. Let z(n) = -3*n - 20. Let o be z(p). What is the first derivative of -m**3 - 4*m**3 + 0*m**3 - o*m**3 + 3 wrt m?\nAnswer: -27*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 2543*c + 23. What is the units digit of s(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4 and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 175208 and 82325859.\nAnswer: 658606872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -310*k - 353. Let z be o(-1). Do z and 14 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1388 + 2598. Suppose 13050 = 10*y + r. What are the prime factors of y?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 45*m**2 + 1393*m - 63. Let h be z(-31). Put h, -1132, -5 in descending order.\nAnswer: h, -5, -1132","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 35*d - 291*d + 1788 = -83 - 689 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -b**2 + 3*b - 2. Let x = 2 + 0. Let l be w(x). Solve 1\/2*d**4 + l - 5\/4*d**3 + 0*d - 1\/2*d**2 + 5\/4*d**5 = 0 for d.\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine s, given that -3*s**4\/2 - 3801*s**3\/2 - 347916*s**2 - 6441582*s + 6791400 = 0.\nAnswer: -1050, -196, -22, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -100010000110111 (base 2) to base 3\nAnswer: -212221210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 43378, 86845, 130312?\nAnswer: 173779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 22022011222 (base 3) in base 6?\nAnswer: 3300342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -2*w + 3. Let u be (-3)\/(2\/3*w\/(-2)). Find the common denominator of (111\/36)\/(12\/u) and -37\/58.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p = -5*v + 8, 0 = v + p + 2*p + 6. Suppose -4*x + 4 = -v. Which is bigger: x or 1\/7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5, 16, 29, 44, 61, 80, 101?\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1222, 3, -2, -0.1, -0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 698021521 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2802153*p - 19660382 with respect to p.\nAnswer: -2802153","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2\/331 or 0.168?\nAnswer: 0.168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -49\/536 and -7\/1340536.\nAnswer: 1340536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 99*s**3 - 21*s**3 + 0 + 3 + 2*s**2.\nAnswer: 78*s**3 + 2*s**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 2*s - a + 4, 5*s + 26 = -3*a. Let u = s + 8. Suppose u*h - 2*h + 6 = 0. Let v(w) = -w - 4. Give v(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:39 AM and 3:48 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*s**2 - 146 + 306 - 5*s**2 + 14*s - 153 as l + n*s**2 + g*s and give l.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -240.6 + 218.6. Let j = -1 - -2. Sort j, a, -0.2.\nAnswer: a, -0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 divided by -9737\nAnswer: -3\/9737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1332*u - 16354*u + 1591740 = 0 for u.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 3*y + 2*a, a - 1 + 0 = 3*y. Suppose -3*b = -y*b - 6. Factor w**2 - b*w**4 + 4*w**4 - w**4 + 2*w**3.\nAnswer: w**2*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 2129449?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 124642963?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5, 27, 63, 113, 177, 255?\nAnswer: 347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 270 minutes after 8:49 PM?\nAnswer: 1:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3 and 3134?\nAnswer: 9402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 88*n**2 - 532*n\/3 - 196\/3 = 0. Calculate n.\nAnswer: -7\/22, 7\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -307*k + 5887 = -6524 - 2325 for k.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3890 + -3046. Calculate the least common multiple of 4642 and t.\nAnswer: 9284","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -m**2 - 13*m - 2. Let r = -15 - -17. Let v = -14 + r. Calculate the lowest common multiple of 20 and a(v).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 29 + -231\/8. Let q(x) be the first derivative of -i*x**2 + 0*x + 2 - 1\/12*x**3. Factor q(c).\nAnswer: -c*(c + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3675*p**4 + 191520*p**3 + 389352*p**2 + 42624*p + 1200 = 0. Calculate p.\nAnswer: -50, -2, -2\/35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 1795, 172962 in decreasing order.\nAnswer: 172962, 1795, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = 5*f + 5. Let m be n(32). Let b = 166 - m. Let j be 2 + -4 + 17\/7. Is b smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -4.1 + 0.1. Let z = 4.999 - -0.001. What is the closest to 2 in v, -3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 946157965 to the power of 1\/3, to the nearest integer?\nAnswer: 982","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + (6 - 7) - 144\/252.\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pptp when four letters picked without replacement from {y: 5, p: 5, t: 3}.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 22 + -13. Let a be -5*(3 + -5 + -34). Suppose a = -3*z + 7*z. What is the highest common factor of z and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-5)\/(-4))\/(-7 + (-337)\/(-48)). Let r = 30 + q. Let t = -3 - -13. What is the greatest common factor of t and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 - (0 + (-4 - (1 - 2))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -13*x - 375. Let l be c(-35). Solve 3*v = 19*v + l for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 43?  (a) -6\/17  (b) -0.5  (c) 0  (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -20 + 25. Suppose -o*g + 98 + 157 = 0. Let w = g + -31. Calculate the remainder when w is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5188 = -31*l + 56502. List the prime factors of l.\nAnswer: 2, 5, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 11*l - 65. Let r(t) = -90*t + 519. Let o(n) = 4*r(n) + 33*s(n). Let z be o(20). Let k = 120\/7 + -116\/7. Sort z, 3, -0.1, k in increasing order.\nAnswer: z, -0.1, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 93603 is divided by 277?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -158 - -57. Let h = 101.063 + s. Let g = -0.597 - h. Round g to 1 decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 8 = -3*k, 2*k - v + 8 = v. Let y be (-2)\/k - (-1)\/1. Let u be 2\/(-6) + (-2)\/3. Is u at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*o - 7*o. Let j be (-8)\/20*(1 + o). Which is the nearest to j?  (a) 1  (b) 2  (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 80\/(-24)*-2*(-3)\/(-25)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 79*x - 77*x = 28. What is the remainder when 429 is divided by x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.41629 + -1191?\nAnswer: -1190.58371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -112101110002 (base 3) in base 2?\nAnswer: -1000101001000101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 3*o - 353. Let u(b) = b. Calculate u(j(n)).\nAnswer: 3*n - 353","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (7 - 365\/10)\/(-14 - -1). Which is smaller: k or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-506)\/(-69))\/(2\/(-3)). Let h(a) = 3. Let q = 3 - 1. Let m(t) = t + 16. Calculate q*m(c) + v*h(c).\nAnswer: 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put 111, -25, -7, -2, 4, -16 in increasing order.\nAnswer: -25, -16, -7, -2, 4, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -3801, -15207, -34225, -60861, -95121?\n\"Answer: -s**3 - 3800*s**2 + s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 7\/(-5) + (-6)\/10. Let g(p) = -p**3 + p**2 - 3*p - 1. What is the tens digit of g(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1436*t - 5*c = 1425*t - 4, -3*t + 12 = -3*c for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -2*k**2 + 32*k - 27. Let r be i(15). Suppose -6*l - 9 = -d - 7*l, r*d - l - 7 = 0. Solve d*w + 5 = -15 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t = -0*t + 5*d - 3, -t - 1 = -3*d. Let f be (-1)\/t*(-13 - -3). List the prime factors of (-476)\/f + (6\/5)\/(-2).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 110442861 to the power of 1\/2, to the nearest integer?\nAnswer: 10509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/9, -1\/2, 1.313, -1\/4, 0.2.\nAnswer: -1\/2, -1\/4, 1\/9, 0.2, 1.313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-2\/5)\/(h\/(h**(-1\/6)*h)))**(-5\/8) assuming h is positive.\nAnswer: h**(17\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 495525124 to the nearest integer?\nAnswer: 791","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 29 + 28 = 0. Let u be -58 + ((-4)\/(-1) - h). What is the units digit of 5\/(-2)*44\/u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is v in -3*v**4\/2 + 48*v**3 = 0?\nAnswer: 0, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 825791 divided by -12\nAnswer: -825791\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) be the second derivative of -s**4\/4 + 9*s. Let t(a) = -6*a + 4*a**2 + 6*a. What is t(q(v))?\nAnswer: 36*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is (58\/(-87)*186413\/2)\/(1\/(-3)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (6*m + 0*m - 4*m)*(-9*m**2 + 45 + 13 + 107)*(2 - 2 - 1) as o*m + c*m**2 + y + a*m**3 and give o.\nAnswer: -330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (867\/2)\/(-17)*(133\/21 - 7).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*y - y**2 + 3*y - 5*y**3 + 3*y**3 as b*y + a*y**3 + z + d*y**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5 + -1)*(-19)\/399.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -162*m**3*t - 1477*m**3 - 3*t**4 wrt t.\nAnswer: -162*m**3 - 12*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ccjccjcccccccj. What is prob of sequence ccjc?\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -o**3 - 5*o**2 + 6*o - 3. Let n = -38 + 27. Let x = -17 - n. Calculate v(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 53 in 0.2, 1.16, 8, -1?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 26*h. Let r(o) = 1170*o. Let v(w) = -91*i(w) + 2*r(w). Let b(q) = -3*q. Give v(b(s)).\nAnswer: 78*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -h**2 - 10*h - 7. Let b be x(-9). Suppose 15*s = 14*s + b. Solve -s*p - 2*p = 2*q - 12, 0 = -5*p + 4*q - 11 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 327627 is divided by 109150?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*q + 66 = -y - 2*y, 7*q + 40 = -3*y + 104 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -8*t**2 + 39*t + 67. Let b(u) = -3*u**2 + 13*u + 22. Let d(v) = 11*b(v) - 4*o(v). Let n be d(-11). Let w = 28 + n. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 494 and 944043386.\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*b - 48 = 36*b - 30*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m = -4*p + m + 19, m - 5 = 0. Let n(z) = -z + 178*z**3 - 1 + p + 0*z. Is n(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 99 and 0.037?\nAnswer: 3.663","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ddf when three letters picked without replacement from {d: 2, f: 5}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -121 - -48. Let z = -51 - n. What are the prime factors of z?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.5 and -838858054278.\nAnswer: -838858054277.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mmmmmggmggwmwggmwwwg. Give prob of picking 2 w and 1 g.\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (36\/60)\/((-2)\/(-10)). Suppose 0 = u*n - 2*n + 5. Put -2, -4, n in descending order.\nAnswer: -2, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 4, y: 3, g: 5}. What is prob of picking 1 g and 1 x?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.3  (b) 4\/3  (c) 1231\/67\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -i + 2 - 2 - i - i + i + (2*i + 3*i - 3*i)*(0 + 0 + 1) - 2*i - 2*i - 3*i - 2*i + 0 + 0 + (1 - 2 + 0)*(4 - 4 + 2*i) - 1 + i + 1 + i + 3*i - 3*i.\nAnswer: -9*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -78*p. Let q be b(1). Let r be (5260\/(-6))\/10 + ((-2)\/6 - -1). Let f = r - q. What is the smallest value in f, -3\/4, 0.5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4)\/6)\/(336\/(-108))*2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 4, y: 1, j: 9, f: 2}. Give prob of picking 1 j and 1 y.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-10 - 1288\/(-126))*15. What is the nearest to 2\/5 in -1\/4, -4, 2\/7, l?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 18.06 to the nearest integer.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*o = 7*o + 50 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) be the first derivative of 2*x**5\/15 + 2158*x**4\/3 + 4656964*x**3\/3 + 5024864156*x**2\/3 + 2710914212162*x\/3 - 1946. Solve r(o) = 0 for o.\nAnswer: -1079","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is a in -5*a**4 - 16185*a**3 + 457395*a**2 + 963325*a + 489750 = 0?\nAnswer: -3265, -1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -3028, -12110, -27246, -48436, -75680, -108978?\n\"Answer: -3027*t**2 - t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 371659.\nAnswer: 19, 31, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 10850761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 105079 is divided by 3856.\nAnswer: 967","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 79990 is divided by 125.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of ((-295)\/(-50) - 6)*41\/(-2) and -29\/35.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 bigger than -0.022?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 203638512 divided by -2077944?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 49481 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -3*x**3 - 4*x**2 - 5*x - 7. Determine w(-3).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1913?\nAnswer: 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(sqrt(19) - ((-2*sqrt(228))\/sqrt(12))**2 - (-1*sqrt(1216) + sqrt(1216) + sqrt(1216))) + (6*(4*sqrt(152) + sqrt(152)))\/(sqrt(512)*6).\nAnswer: -152 - 107*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -91  (b) -24  (c) 1  (d) 5  (e) 5470\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-98)\/77)\/(1575\/14850).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = t**3 + 5*t**2 + 2*t - 3. Let d be m(-3). Let w(y) = -y**2 + 11*y - 15. Let f be w(d). Factor -10*v**2 + 2*v**2 - 6*v**3 + 13*v**3 - 4*v**f + 3*v + 2.\nAnswer: (v - 2)*(v - 1)*(3*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/5, -4\/9, -0.1543, 2\/7 in decreasing order.\nAnswer: 2\/5, 2\/7, -0.1543, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 238 minutes after 10:22 AM?\nAnswer: 2:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1208 divided by 157.\nAnswer: -1208\/157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 18.651725 to 2 decimal places.\nAnswer: 18.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.8 - 1. Sort 1\/7, -6, n.\nAnswer: -6, n, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 586 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from knyksehnh. Give prob of picking 1 y and 1 k.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0, -1\/4, 1, -114?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*d**2 + 6*d**2 - 2*d**2)*(d + 3*d - 2*d) - 4*d + 2*d**3 + 4*d + (2 + 1 - 8)*(-5*d + 5*d - 3*d**3).\nAnswer: 21*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 206026667?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 179180843?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 746679.\nAnswer: 3, 248893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.144 + -0.04.\nAnswer: -0.184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 596 minutes after 4:33 PM?\nAnswer: 2:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.17 - 29.17. Let u = n + 25. Suppose 3*h + 6 = -3*p, 2 = h + 3*p - 2. What is the closest to -1 in h, u, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -3*p**2 - 10*p**2 + 4*p - 1 - 2*p. Let f be g(2). Let o = f - -119. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -546*y**3 - 31 + 31 + 541*y**3.\nAnswer: -5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rhhhrrhhrr. Give prob of picking 2 h.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 168 - 205004\nAnswer: -204836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 18*a + 1. Let g be y(7). Suppose -h - 52 = -0*s - 2*s, -h = -5*s + g. List the prime factors of s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*((1*sqrt(504) - sqrt(504) - sqrt(14)) + sqrt(14)))\/((sqrt(264)\/(sqrt(36)\/sqrt(3)))\/sqrt(11)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*sqrt(13)*1 - 4*(sqrt(13) + -1).\nAnswer: -6*sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 87357, 87349, 87329, 87291, 87229, 87137?\n\"Answer: -m**3 - m + 87359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 92 and 1940?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.432279 centimeters in nanometers?\nAnswer: 54322790","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5454 is divided by 84?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 16 and 188.\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 195778862540 - -3.\nAnswer: 195778862543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 2938290, 2938313, 2938336, 2938359?\n\"Answer: 23*q + 2938267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2781 + x - 4626 + 1845.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 19*w**3 - 3*w**2 - 3*w. Let y(k) be the first derivative of 19*k**4\/2 - 5*k**3\/3 - 5*k**2\/2 + 935. Determine 5*a(n) - 3*y(n).\nAnswer: -19*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -5*o**6 + 156034*o**5 - 107*o**3 - 303*o**2 + 417289*o wrt o?\nAnswer: -600*o**3 + 9362040*o**2 - 642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -55 = -4*c + 3*s, 4*s - 10 = -3*c - 0*s. Calculate the remainder when 47 is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -104 + 109. Solve -y*z - w = 10, -2*w - 9 = -5*z + 4*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7602479?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-12)\/(-6)*3\/5*-26*(-5)\/12.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 828 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -161211.191 + 161289. Let g = -229 + 307. Let x = g - z. Round x to 2 dps.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y = -0*y - 12. Suppose -5*m + 7*m = y. Suppose m*l + 5*l = 960. Is l a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*b + 4*b + 132 = 0. Suppose 0 = -3*u - 4*c + 56, -5*u - 11*c + 95 = -b*c. What is the greatest common divisor of u and 360?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 244571\/(-44) - (4 - 46\/11). Let a = 200299\/36 + x. Let s = -4\/16729 - -1489001\/501870. Find the common denominator of s and a.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 514980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -17\/6?  (a) 5  (b) -0.5  (c) -5\/4  (d) -89  (e) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = 11*f**2 + 1880*f - 193. Calculate h(-171).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 4, g: 1, j: 2}. Give prob of picking 1 v and 2 j.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -8*w + 85. Let c be k(10). Suppose c*n = 211099 - 946099. What is n rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6 + 175*s + 6 - 167*s.\nAnswer: 8*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11397*a = -11423*a. Suppose 2*k - 7*k = -5. Solve a + k = j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*((-2*(sqrt(162) + (3*(-3 + sqrt(162) + sqrt(162) - sqrt(162)) - sqrt(162)))*-6*5)**2 + 5 + 1).\nAnswer: -10497600*sqrt(2) + 33242436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2239103 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2)\/(-4) + 60\/(-8). Let d = -3 - t. Let g be -1*(2\/7 - 0). What is the third smallest value in d, g, 0.3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 4 = -2*l, -8 = -4*w - l + 8. Let k(p) = 2*p - 4. Let q be k(w). Suppose 5*d + 2*t + 32 = 6, 2*d + q*t = -4. Which is smaller: -7 or d?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 31\/4 - 8. Are 31 and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w + 5 = 5*q, -w + 16 = q + 3*w. Let t(j) = -9*j - 6. Let i(v) = 3*v + 2. Determine q*t(z) + 11*i(z).\nAnswer: -3*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -10*o + 6*o + 3*o. Let g(s) = -s + 3*s - 1 + 0. Calculate -2*g(r) - 5*p(r).\nAnswer: r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = 2*t**2 + 11*t - 19. Let g be x(-12). Let o = g + -3. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*s**3 + 1286196*s**2 - 321545*s**2 - 321554*s**2 - 321543*s**2 - 321554*s**2.\nAnswer: -12*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1291092.\nAnswer: 2, 3, 11, 9781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -97\/20622 and 107\/20622?\nAnswer: 20622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 51*l - 39000 = 14946 + 29949. Calculate the highest common divisor of 35 and l.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -c**2 - 2*c + 4. Let f be z(0). Let n = 1 - -3. Let q(r) = -6 + 0*r + r + r**2 + n*r - 2*r**2. Give q(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-35)\/7 + ((-8346)\/63)\/(-26)\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2701 is divided by 72.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 73377 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:11 AM and 9:24 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*f - g + 2 - 5, 0 = 2*g + 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -66 = -2*u + 4*z, 2*z - 64 + 77 = -3*u. Let h be 8\/(-6)*(-282)\/4. Let q = -29 + h. What is the greatest common divisor of q and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -14730675*y**6 - 43667*y**2 + 6*y + 2?\nAnswer: -1767681000*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2370*f**4*i*s - f**4*i - 4*f**4*s - 483*f**2*i*s + 9*f**2*i - f**2*s - i wrt f?\nAnswer: -56880*f*i*s - 24*f*i - 96*f*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -t**3 - t**2 - t + 1. Let h(a) = a**4 - 6*a**3 - 7*a**2 - 6*a + 6. Let n(d) = -h(d) + 6*k(d). Let n(s) = 0. What is s?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 24199, 24207, 24219, 24235, 24255, 24279, 24307?\nAnswer: 24339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 548283679?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1481352 and 120?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 262.7 - -929.3. Let f = 785 - m. Let z = -406.9999401 - f. Round z to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 12169.94 + -12192. Which is the closest to -1\/2?  (a) 5  (b) s  (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = j**2 + 19*j + 96. Let c be f(-9). Suppose 4*b + i + 4*i = -35, -2*i - c = 0. Sort 4, 12, b in descending order.\nAnswer: 12, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a - 139 = -3*a. Let y(r) = -a*r + 70*r + 69*r - r**2. Let l(c) = 2*c. Determine l(y(p)).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9055101 is divided by 1293578?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 5604 + -5606. Which is the nearest to o?  (a) 6  (b) 79  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 3*g = -11, -2*g = 2*t + g + 5. Suppose -5*h = t*d - 46 - 149, 202 = 2*d - 2*h. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -c**3 + 2*c**2 + 19*c - 9. Let p be k(5). Solve s + 0*s + 5*o = -p, 2*s = -4*o - 10 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (5*4*(sqrt(136) - (sqrt(136) + sqrt(136)*1)))\/(-1*(sqrt(200) + (sqrt(200) - sqrt(200)*1))).\nAnswer: 5 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -8*f**3 + 32*f**2 - 9*f**4 - 8*f - 8*f**5 - 4 - 19*f**4 + 24*f**5.\nAnswer: 4*(f - 1)**3*(f + 1)*(4*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = t**2 - 3*t - 12. Let a be i(8). Suppose a = 3*j + 4*j. What is the derivative of 1 + 5*g + j + 8*g + 0 wrt g?\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) be the first derivative of 3*y**2 + 10*y - 57. Let m(x) = 2*x + 3. What is 3*c(q) - 10*m(q)?\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/1579 in -5, -3, 2, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 73 + (-103 - -76) - 42.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 64 divide 960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2 + 0 + 4)*(-1 + 1 + q) - 3 + 6*q + 3)*(-1 + 2 + 1)*(4 - 5*q - 6*q - 7).\nAnswer: -176*q**2 - 48*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 225 and 261405?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -56723029*h**3 + 98*h**2 - 57103 wrt h.\nAnswer: -340338174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 31 - -6. Let s = c + -22. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 104 - 52. Suppose 2*s + g = 6*s. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000632463 to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*c**3 + 26 + 2*c**3 - 5*c**3 + 3*c**3 - c**3.\nAnswer: -3*c**3 + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -93\/440 and 93\/20?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -489, -788, -1085, -1380, -1673, -1964, -2253?\n\"Answer: x**2 - 302*x - 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -5*v + 2. Let j be f(-6). Let z(k) = -2*k**2 + 2*k + 10. Let q be z(-2). List the prime factors of q - (1 - 1) - j*-3.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -12187 + 182879\/15. Let y be 42\/14 + (-1658)\/42. Let m = y - -234\/7. Calculate the common denominator of m and f.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-216)\/(-120)*55\/33 + (-6)\/((-30)\/325).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 7929630 and -92.\nAnswer: -729525960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide 5489876?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 57 - 37. 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: Let h = -12 - -7. Let u = 3.8 - -0.8. Let y = 5 - u. Sort h, y, -1 in descending order.\nAnswer: y, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 87*l**2 + 87*l**2 - 167*l**2.\nAnswer: 7*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -3147742 (base 11) to base 14\nAnswer: -a44844","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from ycykcytoctuocyy.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*k**4 - 16 - 5864*k + 17 + 18*k**2 + k**3 + 5913*k to the form x*k**3 + v*k**2 + i*k + m + t*k**4 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rvr when three letters picked without replacement from {v: 3, r: 6, s: 6, w: 1, y: 1}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h = 9 + 6. Let s = 45 + -66. Let j = s - -23. Calculate the remainder when h is divided by j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 20 - 11. Is l even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -q**3 - 4*q**2 - 3*q - 9. Let g(k) = k**3 - 55*k + 38. Let t be g(7). Give l(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 79\/2 of a litre?\nAnswer: 39500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(1872)*2*-4.\nAnswer: -96*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -127 + 137 - (-31 - (-8 + 7)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = d**2 + 2*d + 1. Let v be j(-3). Suppose -v*n + 6 = 22. What are the prime factors of 1*(4\/n - (-43 + -1))?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 14376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 2\/11 and (-2709)\/546*(-6)\/(-9).\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -102 + -29 + ((-10 - 5) + 2 - -34).\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) be the third derivative of c**7\/315 - c**6\/90 - c**5\/90 + c**4\/18 - c**2. Factor p(s).\nAnswer: 2*s*(s - 2)*(s - 1)*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-9)\/(180\/8) + (-21184)\/(-160) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 4379, -1, -5, 9, 3, 0 in descending order.\nAnswer: 4379, 9, 5, 3, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -4*p - 83. Give u(-18).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 28.6 + 1.5. Let v = b + -84.8. Let g = 55 + v. What is the closest to 1 in -3, g, 0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -208*s = -204*s - 5*d + 10, -5*d = -s + 5 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.699296ug in nanograms?\nAnswer: 7699.296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 - 4 - 2)*(-18*c + 6*c - 144*c - 336*c)*(0*c**2 - c - 3*c**2 - c) to i*c + m + o*c**3 + d*c**2 and give d.\nAnswer: -4920","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oej when three letters picked without replacement from etoejejelteet?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(sqrt(2400) + sqrt(2400) + sqrt(2400)*3))\/((sqrt(88) + (4*1*sqrt(88) - sqrt(88)))\/sqrt(11)).\nAnswer: -75*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(143) + -5*sqrt(143)*-5)\/(sqrt(110)\/(sqrt(10)*-4)) + 4)**2.\nAnswer: -832*sqrt(13) + 140624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:10 PM and 3:35 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) be the second derivative of 98*q**6\/15 - 129*q**3\/2 - q**2 - 55*q + 3. Find the second derivative of y(n) wrt n.\nAnswer: 2352*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express a**3 + 11*a**2 - 11*a**2 + 2 - 7*a**4 as z + g*a**3 + h*a + b*a**2 + w*a**4 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 8568 and 66?\nAnswer: 94248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2)\/10*3*-5. Let x be 0 + -2 + i + 1. Let z(l) = 5 - l + 2 - 1 - l**x. Give z(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = 5*o**2. Let n(r) = -29 - 13*r**2 + 17 + 12. Determine n(z(y)).\nAnswer: -325*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3.2 - 3. Suppose q + 1 + 0 = 0. Let o = -915\/7 - -131. Which is the third biggest value?  (a) o  (b) d  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 17 + -15. Find the second derivative of 3*t + 3*t**m + 3*t**5 - 3*t**2 + t**5 wrt t.\nAnswer: 80*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -841, -1629, -2417, -3205, -3993?\n\"Answer: -788*b - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 142116.\nAnswer: 2, 3, 13, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 131*b + 1158 = -1462 for b.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2041 + -1178. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-24 - -32) + (-7 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -9725, -20690, -31655, -42620, -53585?\nAnswer: -64550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1075168 + 5849999. Let n = t - 4774791.000095. Let u = 40 - n. What is u rounded to 5 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**(-2\/9)\/o**(1\/12)*o*o**6*o**(-4\/5) assuming o is positive.\nAnswer: o**(1061\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 1234439971 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 55832 = 428*m + 64392 for m.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 11 - 6. Let f = -6 - -8. Calculate the smallest common multiple of 3\/(1 + f - 2) and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 389345.7 millimeters to nanometers.\nAnswer: 389345700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 36374 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2 + (-3)\/13 - 2. Let n be (-15)\/16*4\/(-3). Let t = -4.924 - 0.076. Which is the nearest to f?  (a) n  (b) t  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = v**3 + 10*v**2 + 2*v + 12. What is q(-10)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + 0*f + 2 = 0. What is the least common multiple of f + 0 + (6 - -4) and 11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 547 minutes after 3:48 AM?\nAnswer: 12:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 34 - u**2 + 21 - 89*u + 113*u. Let i be y(26). Solve -4*r + i = -7*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1414068\/13 at most as big as 108775?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 107 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 195 minutes after 5:00 AM?\nAnswer: 8:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:55 PM and 3:38 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 4, j: 2, t: 2, e: 5}. What is prob of sequence jej?\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -84 + 13 + -2 + 29\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2222 (base 3) in base 14?\nAnswer: 5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -283 in 54, 0.2, -4, -9, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -8\/7?  (a) 1  (b) 5  (c) 0.4  (d) 2\/19  (e) 1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) be the first derivative of 2*z**5\/5 + 7*z**4\/2 + 32*z**3\/3 + 12*z**2 + 49. Factor f(b).\nAnswer: 2*b*(b + 2)**2*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = 2*r - 19. What is q(13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) be the third derivative of 95*p**4\/24 - 61*p**3\/2 - p**2 - 446*p. Give f(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 99380 (base 10) in base 15?\nAnswer: 1e6a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o + 4*n = -2*o + 68, 0 = -o + 4*n + 42. Calculate the lowest common multiple of 14 and o.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 27570 and 0.1?\nAnswer: 2757","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 2*b**2 + 39*b - 52. Give w(-21).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = f**3 + 2*f**2 + 48*f + 49. Calculate h(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*g + 2*g - g + 0 + 2.\nAnswer: 6*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/2*(-2562)\/(-549)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 265401?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.03651026 rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*v + 9 + 11. Let r(m) = 159*m - 1. Let q be r(1). Suppose -q + 163 = 5*z. Solve -o - z = v for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14973*b**3 + 14975*b**3 + 4546 - 4546.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2627 and 142.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 496912865 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 115.3 - 100. Let q = p + -15.3437. Round q to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -2*p**2. Let h(k) = -320*k - 42. Suppose 67*c = 141 - 7. Let m(o) = -107*o - 12. Let w(s) = c*h(s) - 7*m(s). What is a(w(z))?\nAnswer: -23762*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 3954387, 3954403, 3954453, 3954555, 3954727, 3954987, 3955353?\n\"Answer: 3*l**3 - l**2 - 2*l + 3954387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.4, -4.1, -364, 75, 0.5, 0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2 + 1302\/(3 + 0). Let k = v + -156. Let o = -185 + k. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16734 = 1301*g + 80483 for g.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*v = 277*f - 272*f + 16, 4*f + 2*v = 3*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = s**3 + 21*s**2 + 56*s + 96. Let j be x(-18). What is the highest common divisor of j and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 + ((-226)\/(-19) - 100\/(-950))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -9.1 + 8. Let j = m - -0.6. Which is the smallest value?  (a) 4  (b) j  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3.45295 + 2.8085. What is l rounded to 2 decimal places?\nAnswer: -0.64","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 65394 and 9828?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 174 = 4*o - 86, 0 = -2*o - 4*x + 126. Let z = -47 + o. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mxm when three letters picked without replacement from {m: 4, w: 1, t: 1, x: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: Is 20891 a multiple of 130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 divided by 9781.\nAnswer: 4\/9781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.301 - -0.001. Sort 7, 1\/5, r in ascending order.\nAnswer: r, 1\/5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1323111 + -5563\nAnswer: 1317548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1770)\/(-3894)*(-9)\/5.\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 3871*h**3 - 4*h**2 + 8*h + 2. Let y(r) = -46455*r**3 + 50*r**2 - 100*r - 25. Give 25*q(f) + 2*y(f).\nAnswer: 3865*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3\/2*(-18)\/(-945)*-7.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 10, 2, 4 in decreasing order.\nAnswer: 10, 4, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y + 2*z - 84 = 8*y, 3*z = -9. Let g be y\/(-81) + 34\/(-36)*-4. Suppose 0 = g*o - 2*v - 62, -3*o - v = -7*o + 61. Solve -o = c - 4*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -3695*u**3 - 10*u**2 - 10*u + 1. What are the prime factors of v(-1)?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1189402.414 + -1189389.41399974. Let a = d - 13. What is a rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 3 + 4\/(-8)*-4. Suppose o = -2*o - 3, h*o - 3 = -4*j. Suppose -5*c - j*b + 54 = -10, 2*b = -3*c + 36. Does 14 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = 6. Let p(j) = -j. Let x be (-4*(-2)\/4)\/(-1). Let d(b) = x*p(b) + o(b). Let r = -119 - -115. Give d(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 13337 - -3?\nAnswer: 1333a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h - 37 = 407. Suppose 3*c - h = 81. Suppose 19 = -5*x + c. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 2*y**3 - y**2 + 1. Let s be r(1). Solve k - s = -6, -4*x - 32 = 4*k for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -509518961 + 0.03\nAnswer: -509518960.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*w + 8 = 12*w. Which is the nearest to 0.1?  (a) w  (b) -5\/3  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 11840766 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -117 (base 9) in base 2?\nAnswer: -1100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -40, -5, 339, -703 in descending order.\nAnswer: 339, 0, -5, -40, -703","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -38079*g**2 - 39771*g**2 + 23413*g**2 - 7252*g**2.\nAnswer: -61689*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 152916 is divided by 3697?\nAnswer: 1339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 7 + 3\/(-1) + -1. What is the units digit of 3702\/21 + k\/(-42)*4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.34 + 0.04. Let t = -694 + 694.5. Let o = t + z. What is the nearest to -1 in -4, 1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - (-10)\/(-8)*4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l = -5*c - 3*l + 45, -5*c = 2*l - 36. Let t be (-8)\/c*36\/(-8). Which is smaller: t or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -43 + 43 + 6165*f.\nAnswer: 6165*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve u - 325 = 2*t - 315, 3*t + 16 = 2*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2694806 is divided by 7766?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(-3 + (sqrt(176) - (0 + sqrt(176))*-1) + -2 + 2*sqrt(176)*4 + -5)**2.\nAnswer: -4800*sqrt(11) + 106200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**(2\/31)*k\/k**(6\/7)*k**(1\/3)\/k**(2\/27) assuming k is positive.\nAnswer: k**(2734\/5859)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*j**3 + 5*j**3 - 62*j**2 - 4 + 128*j**2 - 68*j**2 + 22*j**4 - 6*j**3 - 3*j as d*j**4 + l*j + g*j**3 + c*j**2 + n and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 949521.158 rounded to the nearest one thousand?\nAnswer: 950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -40003, 2, -2 in descending order.\nAnswer: 2, -2, -40003","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 478427787 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 2847 less than 0.5?\nAnswer: -2846.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3672 and 272.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0004731902 to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -96 - -96.5. Let j = 383 + -388.09. Let t = -0.09 - j. Which is the second biggest value?  (a) d  (b) -5  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -7, -2\/9, 550, -1, -5 in descending order.\nAnswer: 550, -2\/9, -1, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 4, -46, 182, -1.\nAnswer: -46, -4, -1, 4, 182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 294240 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.05 - 0.0500064. What is x rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 16, 1, 0, -2 in decreasing order.\nAnswer: 16, 1, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m = -d + 13, 5*d + m + m - 13 = 0. Suppose 3*w - 4 = -d. Let z(j) = 8*j**2 - 1. What is z(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/5?  (a) -330  (b) -1\/3  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3414*u = -212*u + 268324 for u.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10357528578 + f - 10357528578.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12 = 4*u, -5*i + 5*u - u = 32 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 143 and 52.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -287 + 15213\/53. Let h = 120\/371 - i. Let r = -1.7 + 1.2. Which is the closest to 0?  (a) h  (b) r  (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c - 3 = 2*j - 9, -3*j - 3*c = -9. Let g(x) = -x. Let h be g(-6). Suppose 2*t = 5*t - h. Solve n + t = -j for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 21524.84583 to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r, 1 a, 1 b, and 1 k when four letters picked without replacement from {a: 1, b: 6, r: 4, k: 1, i: 6}?\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -19255653*v**4 + 3558529*v?\nAnswer: -231067836*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -k**2 + 8*k - 9. Suppose -l + 6 = 5*u - 0, -3*u + 18 = 3*l. Is 3 a factor of x(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(8)*-2*-5)\/(sqrt(12)\/sqrt(27) - sqrt(4) - sqrt(4)).\nAnswer: -6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 581 + 269. Is z >= 1701\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 679 minutes before 8:34 PM?\nAnswer: 9:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 72 - 56. Let q(c) be the first derivative of c**4\/4 - 3*c**3 + 4*c**2 - 4. Let x be q(8). Solve 3*d - 1 = 3*o - p, -5*o = x for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-11 + 10 + -1)\/(1 - -10). Let q = 102.5 + -107.47. Let j = -0.03 + q. Which is the second biggest value?  (a) j  (b) d  (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) be the first derivative of 7*q**3\/3 + 276. Let g(w) = 7*w. Determine i(g(d)).\nAnswer: 343*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 180 + -182. Let k(l) = -2*l**3 - 5. Let i(j) = -j**3 - 2. Determine a*k(w) + 5*i(w).\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 40\/30*(-6)\/6?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(500) - (3 + 1 + sqrt(500)))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 2, p: 1, j: 1, s: 1}. Give prob of picking 1 p, 1 s, and 1 d.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 10?  (a) 1  (b) -16  (c) -4\/3  (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 73625 is divided by 43.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 95 a factor of 828?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 382\/(-12) + 3\/9. Suppose -4*u = 2*u + 186. Let b = u - z. What is the third smallest value in 0, -1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -13*b**2 + 5*b + 32. Let l(i) = -5*i**2 - 8*i**2 + i**2 + 80 - 20*i**2 + 12*i. Let s(p) = -5*l(p) + 12*v(p). Factor s(q).\nAnswer: 4*(q - 2)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 305 - 275. Suppose c - 16 = b - 96, 5*c = -25. Calculate the highest common factor of b and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 212 - 62. What is the greatest common divisor of f and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -314 = 5*v - 2*y, v + 3*y - 21 + 77 = 0. Which is smaller: -26 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 18774761?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -26 + 24. Let r be t\/(-5)*15\/(-93). What is the smallest value in -1, r, -4\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 35, 36, 35, 32, 27, 20?\n\"Answer: -t**2 + 4*t + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 728404129 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 2 i when three letters picked without replacement from ikkbbi?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*d - 242 = 226. Calculate the highest common factor of d and 104.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(363) + -1 - (sqrt(3) + 1 + 2)) + (sqrt(33) + sqrt(132)*3)\/(sqrt(176)\/sqrt(4)))**2.\nAnswer: -108*sqrt(3) + 2251\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -2\/7  (b) 5  (c) -3  (d) 4\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 117\/((-6)\/(-2)) - 3. Let t = k - 36. Suppose t = -5*d + 71 + 54. Solve 3*j = -4*v - 2*j - 25, 5*v - 5*j = d for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = j**3 - 3*j**2 + 3*j - 1. Let a be x(2). Calculate the common denominator of -125\/6 and ((-15)\/24)\/1 + a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (134 - 139) + (8 - -6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -28.5 + 28. Which is the nearest to 0.2?  (a) 0.03  (b) j  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p = 3*p + 2. What is the third derivative of 4*i**5 + 214*i**4 + 27*i**p - 214*i**4 wrt i?\nAnswer: 240*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -17646 (base 8) to base 7.\nAnswer: -32423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 284184 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -320201 (base 4) to base 12\nAnswer: -2115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 45945 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 9702 and 17640?\nAnswer: 194040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 19296586.\nAnswer: 2, 23, 419491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((1 - -6)*(-4)\/28)\/(11\/(-2)). What is the second smallest value in p, -0.4, 0.3, 0.2, -548?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k = -3*w - 20, 4*w + 2*k = -0*w - 10. What is the closest to w in 3, -1\/2, -3\/4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 48419\/14 + 8\/(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 249 + 293. Is n != 543?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in one twentieth of a minute?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -201120011102 (base 3) in base 15?\nAnswer: -7913b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 6662307?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -789049\/58590 + 2934\/217. Calculate the common denominator of -74\/3465 and y.\nAnswer: 20790","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*s + 42 = 3*r + 26*s, -4*r + 3*s = -56 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r - n + 5 = 0, 0 = 3*n - 0*n. Suppose 4*c + 0*f = f, -4*f = -r*c. Suppose l - 28 = 3*s, c = -3*s - 9. What are the prime factors of l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 2*w**2 + 191*w + 1575. What is the lowest common multiple of 2920 and c(-9)?\nAnswer: 26280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -84, -83, -82, -81, -80, -79?\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*r - 18 = -6. Let i(g) = g**2 + 6*g + 5. Let u be i(-5). Put u, 4, r in descending order.\nAnswer: 4, u, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1 + 1986\/7)*(-3066)\/(-1752). Is 494 at least h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2 + 1101113223?\nAnswer: 1101113231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = 2195*b**2 - 19*b + 5. Is l(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lvl when three letters picked without replacement from {v: 7, l: 9, d: 3}?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 7, b: 2, d: 1, c: 1, s: 5}. What is prob of sequence cj?\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -787553 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (234 - (4 + -8)) + (-12)\/3. What is the greatest common factor of 390 and g?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*m + 44 = -4*m. What is the common denominator of (m\/2 + 4)*27\/(-28) and 1*97*1\/14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1001100100111010 (base 2) to base 6\nAnswer: 501334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 10\/21 of a week in minutes?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 69\/2 of a millennium?\nAnswer: 3450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express ((0 + 0 - 1)*(2 - 3 + 3) + 2 + 1 - 1 + 0 - 2 + 3)*(6 - 2 - 3)*(-11 + 11 + 3*n) as i*n + d and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) be the second derivative of -2*w**6\/15 + 2*w**5 - 29*w**4\/3 + 64*w**3\/3 - 24*w**2 - 57*w + 2. What is h in x(h) = 0?\nAnswer: 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 7268 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 20946?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(8\/7)\/((u**(-3\/13)\/u)\/u))\/(((u*u*u**14*u)\/u)\/u**10) assuming u is positive.\nAnswer: u**(-239\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*w - 1176 = 14*w. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find c, given that 2*c**3\/15 - 4*c**2\/3 + 56*c\/15 - 16\/5 = 0.\nAnswer: 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -45*i**2 + 1. Let y be h(-1). Find the common denominator of ((-1)\/y)\/((-3)\/(-414)) and 31\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/(q**(-7)*q*q))\/q**(-6))\/(q*q*q**(-15\/7)*q*q**(-10\/7)*q) assuming q is positive.\nAnswer: q**(81\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -123694455*x**5 - 341*x - 125299.\nAnswer: -2473889100*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -166.1 in -1\/5, 1\/4, 198?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 x and 1 v when three letters picked without replacement from {m: 2, w: 4, x: 2, p: 1, b: 4, v: 1}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 30497 to the power of 1\/2, to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c\/c**(-19))**(1\/33)*(c*c\/(c**(-10\/9)\/c)*c)**(2\/79))**(-33) assuming c is positive.\nAnswer: c**(-5752\/237)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 569520?\nAnswer: 2, 3, 5, 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (4450\/(-15575))\/((16\/(-49))\/2)?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*d = 1 - 1. Let o(z) be the second derivative of 0 + 1\/15*z**6 + 0*z**3 + 0*z**2 + 5*z - 1\/10*z**5 + d*z**4. Solve o(k) = 0 for k.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = 2*b**2 - 3*b. Let q be f(5). Let h = q + -32. Let j = 3 - h. Solve j = -0*d + 2*d + 10 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 46.2598497 from 0.21.\nAnswer: -46.0498497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1300*z = -1417*z - 2691 for z.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*j - 39 + 43 = 4*m, -4*j = 8 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 125*a**2 + 11*a + 2. Let y(b) = -b**2. What is i(y(x))?\nAnswer: 125*x**4 - 11*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 32326892.\nAnswer: 2, 13, 621671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*o - 11 = -5*u, -5*o - 1794764 + 1794723 = 3*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) be the second derivative of 0*t**3 + 3*t - 1\/4*t**4 + 0*t**2 + 0. Let p(h) = 2*h**2. What is p(z(d))?\nAnswer: 18*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 10916?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -11*x**2 - 4*x. Let v be z(4). Let u = -121 - v. Suppose -4*g = -3*d - u, -4*d + 0*d - 21 = -g. Solve -w + 3*i + 6 = i, -4*w + g = -i for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -665*v - 2744*v - 302*v as s*v + y and give s.\nAnswer: -3711","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -8 - -4. Let j be (-8)\/12*2*(1 + -10). Let p be 0\/(4\/j*3). What is the smallest value in t, p, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 5, 17, 51, 119, 233, 405?\n\"Answer: 2*j**3 - j**2 + j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) be the second derivative of -5*o**3\/6 - o**2\/2 + 3*o - 8. Let z(v) = 15*v**2 + v. Let x be z(-1). Let i be 4\/x - 5\/(-7). Give t(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2916707 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -139*w**2. Let f(c) = -20*c**2. What is m(f(y))?\nAnswer: -55600*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 15*w**5 - 24*w**4 - 6*w**3 - 24*w**2 - 9*w + 24. Let m(r) = -3*r**5 + 5*r**4 + r**3 + 5*r**2 + 2*r - 5. Let f(j) = -24*m(j) - 5*q(j). Factor f(g).\nAnswer: -3*g*(g - 1)**2*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 362047.4ns to microseconds.\nAnswer: 362.0474","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = f - 76. Let p(g) = 1330*g - 74. Give -p(j) + t(j).\nAnswer: -1329*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 56121.8cm in micrometers?\nAnswer: 561218000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 3372a - -4?\nAnswer: 33731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 56 + 16 = 4*s. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -11*v**2 + 14*v + 46. Let l(w) = 40*w**2 - 57*w - 182. Let u(r) = 3*l(r) + 11*n(r). Calculate u(-13).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/7?  (a) -55  (b) 8.2  (c) -14\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d, 1 c, and 2 p when four letters picked without replacement from dcppdc.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vt when two letters picked without replacement from fxffnxvefxntffffftf?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 617 - 341. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = m**2 - 9*m + 7. Let f be 1\/3 + (-4)\/(-6). Let h be 253\/22 - f\/2. What are the prime factors of q(h)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 40, 1\/370, -2, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1283 = 2*b + 3*u - 2977, 5*b - 3*u - 10692 = 0. What are the prime factors of b?\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3268 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 860560 is divided by 1487.\nAnswer: 1074","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4\/9 + 2\/9*i - 2\/9*i**2.\nAnswer: -2*(i - 2)*(i + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*h - 9*h + 40*h.\nAnswer: 38*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ssu when three letters picked without replacement from uutttutsttst.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 10, -0.2, -7070 in decreasing order.\nAnswer: 10, -0.2, -7070","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -7*s**2 + 21*s + 129. Let c be k(-3). Put -4, -382, c, -2 in ascending order.\nAnswer: -382, -4, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 1.24  (b) -2  (c) 1\/7  (d) -5  (e) -10.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: Let u = -38.2 - 6.8. Let r = u + 88. Let w = r - 43.00116. What is w rounded to four decimal places?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*d = -d - 3*a - 57, 41 = 3*d + 5*a. Solve r + 4*p = 3, -p = -4*r - 3*p + d for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -1556.9 and 0.189.\nAnswer: -1556.711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 8\/3*(4 - (6 - (-159)\/6)). Suppose -2*j = -4*j - 150. Which is bigger: l or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) be the second derivative of -r**7\/3360 - r**6\/240 - r**5\/40 - r**4\/12 + r**3\/3 + 3*r. Let q(t) be the second derivative of z(t). Factor q(l).\nAnswer: -(l + 2)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 20354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 211 + -23. Suppose -z = -4*k + 28. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.24028 - -0.0357026228?\nAnswer: -0.2045773772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = 8*x + 3 + 0*x + 10*x**2 + 3*x - x**3. Let j be h(11). Solve -j*k = -0*k - 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 9208815*d**2 + 25*d - 10921?\nAnswer: 18417630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -27252 or 0.14?\nAnswer: -27252","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 106 or -60?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Product of -129 and 5.\nAnswer: -645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 2*o = 108, -6*v = -v + 4*o - 288. What is the units digit of 7352\/v + 4\/(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4350?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 3 + 0)*(-7 + 1 + 23)*(3 - 2 - 3)*(-71*d**2 + 139*d**2 - 74*d**2).\nAnswer: 408*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 36481 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 58.83 to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in i**2 + 3948*i + 2 - 3948*i - 2.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2186144289?\nAnswer: 3, 7, 2953, 3917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 2010110000021 (base 3) to base 12\nAnswer: 4663ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0 - 0. Suppose c = -v + 3, 5*l + 4*v = 3*l + 70. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 7440 = 3*l, -12400 = -15*l + 10*l + p. Is l a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -0.03  (b) 0  (c) -1\/2  (d) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 1 k when two letters picked without replacement from kkkkkkkkkjkkkkkkkkkk?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 16128372?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 12412491, 24824966, 37237443, 49649922, 62062403, 74474886?\nAnswer: 86887371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 134 (base 10) to base 3.\nAnswer: 11222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 507 - 383. What is the smallest common multiple of (-112)\/(-21)*12\/2 and w?\nAnswer: 992","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a - 139 = -c, 5*c = -2*a + 83 + 68. Let b be ((-2)\/(-3))\/((-12)\/18*11\/(-1122)). What is the highest common divisor of b and a?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 219 - 217. Let a = -10.91 + -0.09. Let m = 6 + a. Sort 0.4, p, 0, m.\nAnswer: m, 0, 0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (45\/2)\/(4\/8). Let c be 3\/v*6\/2. Which is bigger: c or -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*z = -w + 33, 2*w + 6 = -1522*z + 1520*z for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 29.6701 millennia?\nAnswer: 29670.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i*i**(10\/13)*i*i**2)**(-44) assuming i is positive.\nAnswer: i**(-3300\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/q**(-11)*(q**(1\/6)\/q)\/q)**(-4))**(1\/5) assuming q is positive.\nAnswer: q**(-122\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2423 by -4.\nAnswer: -2423\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 3980 or 3879?\nAnswer: 3980","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -6.75 to one decimal place.\nAnswer: -6.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -2*(-25)\/10 - (6 - 3). Suppose -p + 3*f + 1847 = f, -n*p + 3694 = f. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 5580 and 12410.\nAnswer: 6924780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v - 15 = -4*v. Suppose 12 = -3*s, 3*s - 3 = v*o - 0*s. Sort 4, -1\/5, o.\nAnswer: o, -1\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000412 to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*j - 27 - 13. Suppose 3*m + m = j. Determine k so that 0*k**3 - 2\/7*k**m + 2\/7*k**4 + 0*k + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -34\/4347 and -43\/548688.\nAnswer: 4938192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -1814964 divided by -604988\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/(-6)*3\/(-3).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*j**2 + 9*j**2 + 2314*j - 2271*j.\nAnswer: -j**2 + 43*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 618 - 548. Calculate the highest common divisor of 20 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-196)\/68 - (-69 + 18)\/17\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -60*o + 58*o + 476 = 0. Let p = o - -613. List the prime factors of p.\nAnswer: 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -50*v + 47*v - 9 = -5*j, -4*j - 5*v + 22 = 0. Solve -1\/3*m**j + 1\/6*m - 1\/6*m**2 + 0 = 0.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 56, 105, 160, 221, 288?\nAnswer: 361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jjtjjjjjjjjjjtjjjjjj. What is prob of picking 2 t?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + 18 + (0 - -6) + (-9 - 1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*x**2\/5 + 2080536*x\/5 - 416108.\nAnswer: 4*(x - 1)*(x + 520135)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 100110101110011111 (base 2) to base 16.\nAnswer: 26b9f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*z**5 + 4*z**4 + 2*z**5 - 2*z**4 + (z**3 - 4*z**3 + 4*z**3)*(-1 + 1 - z**2) - 6*z**5 + 540*z**2 - 540*z**2.\nAnswer: -8*z**5 + 2*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {y: 4, i: 1, z: 3, t: 5}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = r**3 - 14*r**2 + 43*r - 8. Determine n(10).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2\/5 - 1558\/95. Is b less than or equal to -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.24 - 9038525?\nAnswer: -9038525.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-21)\/(-42))\/(2\/12).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*n + 2*h + 10, 14*n + 4*h = 13*n + 16. Solve n = 2*x + 6 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -695093 - 144949 = 14238*w for w.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2866740 a multiple of 400?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -40, -90, -168, -274, -408?\nAnswer: -570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3206 and 5519129.\nAnswer: 1603","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 14131266 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) be the third derivative of l**5\/10 + 13*l**4\/8 + 3*l**3 - 113*l**2 + 1. Factor d(c).\nAnswer: 3*(c + 6)*(2*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 37447620 divided by 10940.\nAnswer: 3423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: ((-36)\/3)\/24*1\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*u**15)\/u**9 assuming u is positive.\nAnswer: u**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 1975301 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -66414\/2135 greater than -30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z = -14 + 4. Suppose -2*r = -7*r + z. Suppose 3*d + r = -11. Sort 2, -3, d.\nAnswer: d, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*u*u**(-2)*u)\/u*u)**(-11)\/(u**(2\/13)\/u**7) assuming u is positive.\nAnswer: u**(-54\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -p**2 + 5*p - 3. Let v be i(2). Suppose -5 = -2*g + v. Let k(l) = -l**3 + 5*l**2 - 2*l - 9. Let y be k(g). Which is greater: 26 or y?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*t**4 + 1960*t**3 - 312624*t**2 + 14948504*t + 204928372.\nAnswer: -4*(t - 167)**3*(t + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 329, 665, 1007, 1355?\nAnswer: 1709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + y**3 + 3)*(6573 - 6573 + 1890*y).\nAnswer: 1890*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) 2\/9  (b) 1\/3  (c) -2\/9  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 102 + 122323?\nAnswer: 123031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -17  (b) -1  (c) -2  (d) -3\/3233\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sdh when three letters picked without replacement from {s: 2, h: 1, d: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 3}. Give prob of sequence vvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -9 + 11 + -1 + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y**3\/6 - 4016*y**2\/3 + 24123*y\/2 = 0. What is y?\nAnswer: -8041, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -r**2 + 1. Let l(p) = -4*p**2 + 5*p + 3. Let j(h) = 5*a(h) - l(h). Let s be j(-4). Suppose 7 = x - s. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 48 + (216 - 230) + (-2 - -9) + -1.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 102813 is divided by 48.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1204 and 1582.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r + 34 = 2*c, 0*r - 4 = 2*r. Calculate the greatest common divisor of c and 147.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 33 + -18. Suppose 83 = 2*u + 3*p, -5*p - 172 = -6*u + 3*u. Suppose -s + u = -21. What is the remainder when s is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 81*r**2 + 174*r + 213. Determine k(-2).\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 22\/297 + (-721)\/(-108) - 3\/(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 7*a + 16. Let x(l) = -13*l - 31. Let b(j) = -6*x(j) - 11*y(j). Let n be b(-8). Solve 0*k = -n*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2974 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 2256959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -10425.4 to the nearest ten.\nAnswer: -10430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 25 + -30. Find the common denominator of 364\/(-48) + a\/10 and 19\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*h - 33 + 2 + 30 + 0.\nAnswer: 9*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-8)\/(-16)*6\/(-1) - -5. Factor 2\/5*s**3 + 0 + 2*s**w + 0*s.\nAnswer: 2*s**2*(s + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0 - 5. Suppose -5*v + 0*v = 0. Let g = 4.66 + -4.86. Put v, g, x in increasing order.\nAnswer: x, g, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -i**2 + 7*i + 10. Let h be w(7). Find the common denominator of 1\/(-4)*492\/h and 1\/4 - 193\/(-36).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {r: 1, z: 3, i: 1, f: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 83\/((-9960)\/(-1040))*3.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -6.7 + 2. Let h = -4.4 - t. Sort -0.1, 3, 0.092, h in ascending order.\nAnswer: -0.1, 0.092, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 61901.18mg to tonnes.\nAnswer: 0.00006190118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -2*p - 3. Let i(t) = -874*t**2 + 84*t + 11. Let s(j) = i(j) + 5*k(j). What is the second derivative of s(v) wrt v?\nAnswer: -1748","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (8\/4 - 2) + 82 is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 21891436 by -781837.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -105 - -546. Suppose 2*f - 249 = z. Suppose -8*j + 11*j = f. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 3\/25 of a micrometer?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -11, 1, 5248?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -662*p + 576. What is b(1)?\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 176752386?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/11 in 4\/5, 1\/3, -4, -0.8?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -y - 4. Let o be c(-7). Suppose -4*s + o*k = -15, -k + 5*k - 18 = -s. Let d = -4 + s. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - 3*l + 3 = 0, 5*l - 15 = -4*x + 26. Suppose 8 = -28*g + 26*g, x*g - 3084 = -5*t. Does 31 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -19 - -17. Let z(p) = 21*p + 16. Let g(i) = 4*i + 3. Let m(l) = f*z(l) + 11*g(l). What is the derivative of m(d) wrt d?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 12, -1, -7, -2 in descending order.\nAnswer: 12, -1, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (7 + (-375)\/60)\/((-36)\/(-80)). What is the fifth smallest value in 0, 0.2, w, -0.8, -0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3 times -6.95616?\nAnswer: -2.086848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 520\/30 + (-2)\/(-3). Solve 4*f = 2*d - 5*d + a, -d - f + 5 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 120 - 24. Calculate the least common multiple of 102 and j.\nAnswer: 1632","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*o**2\/5 - 2256*o\/5 + 2262\/5 = 0 for o.\nAnswer: -377, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*z**2\/8 - 5589*z\/2 - 22359\/8.\nAnswer: 3*(z - 7453)*(z + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 149 = -g, 5*j - g = -0*g + 235. Let m = 7 + 18. What is the remainder when j is divided by m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 658*o**3 - 93*o + 166*o - 73*o.\nAnswer: 658*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*y*y*y**0*y*y**(-2\/3))**35*(y**(-3)\/y)\/y**(1\/5)*(y**(-1\/2))**12 assuming y is positive.\nAnswer: y**(1597\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 5370.1 - 1.586350567\nAnswer: 5368.513649433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1216, 1211, 1222, 1261, 1340, 1471?\nAnswer: 1666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -380286 times 5.2\nAnswer: -1977487.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -3*j - 9*l + 12*l, 5*j + 4*l = -16. Is (j - -8) + 0 - -927 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 12*i**3 - 3*i**2 - 20*i - 16. What is g(-1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*n**3 + 3*n**3 + n**3 - 1 + 1 - 1 - n**3 + (0*n**2 + 2*n**2 + 0*n**2)*(2*n + 1 - 1) - 4*n**3 + 5*n**3 - 3*n**3 + 97 - 5*n**3 - 97)*(0 - 1 + 2).\nAnswer: 2*n**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -5*r. Let s(q) = -q**2 + 11*q - 1. What is -5*a(n) - 2*s(n)?\nAnswer: 2*n**2 + 3*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = 0*z**2 + 456*z + 5*z**2 - 28 - 453*z - 3*z**2. Let g be n(5). What is the highest common factor of 259 and g?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*w**3 + 0*w**3 + 3*w**3 + w**3 + 1 - 1 + (-3*w + 0*w + 4*w)*(-2*w**2 + 6*w**2 + 7*w**2) + 5*w**3 - 12*w**3 - 15*w**3.\nAnswer: -9*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((z*z\/z**4*z*z)**(10\/7))**(2\/25))**26)**(1\/33) assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 270 and 270.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from loxllloloottlt. Give prob of sequence tt.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 5 - 4.7. Let b be (-630)\/(-420)*2\/21. Let z = -7 - -11. What is the second biggest value in b, -0.1, z, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2079*p*s**4 + 840*p*s**3 - 3*p*s**2 + 478*p*s + s**4 + 5*s**3 - 150*s**2 + 2 wrt s.\nAnswer: 49896*p*s + 5040*p + 24*s + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1706 is divided by 559?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 886*p**2 - 527*p**2 - 257*p**2.\nAnswer: 102*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/(-3)*((-36)\/(-8))\/9?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -2*y - 1. Let j be o(-2). Factor -4*h**j + 4*h**2 - 119*h - 2 + 2 + 127*h.\nAnswer: -4*h*(h - 2)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 221 + 1. Let l = h - 222.773. Round l to one dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*v**4 - 3*v**4 + 4*v**4)*(-6 + 6 - 9*v) + 72*v**5 + 73*v**5 - 2*v - 150*v**5.\nAnswer: -14*v**5 - 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = j. Let c(v) be the first derivative of -9*v**4\/8 - 27*v**2\/2 - 6. Let a(h) be the second derivative of c(h). Give t(a(q)).\nAnswer: -27*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 7977fd5c - 1?\nAnswer: 7977fd5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2476 is divided by 95.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:46 AM and 2:08 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) be the first derivative of 3 + 0*x - 2\/35*x**5 + 0*x**2 + 2\/21*x**3 + 1\/21*x**6 - 1\/14*x**4. Factor h(d).\nAnswer: 2*d**2*(d - 1)**2*(d + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 126 a factor of 771750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2\/(12\/4 + -2). Suppose -3*z = -5*j - 34, 19 = 2*z + z - x*j. Solve -4*f = -z*p + 3, -p = p + 5*f - 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.020619 - 0.322949. What is c rounded to 2 decimal places?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = m + 2. Let s(d) be the second derivative of -d**4\/12 + 8*d**3\/3 - 15*d**2\/2 + d + 2. Let i be s(15). Calculate k(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -6\/5, -25842, 1\/7 in ascending order.\nAnswer: -25842, -6\/5, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 35\/(4*2\/16). Suppose g + 0*x - 3*x - y = 0, 2*g + 2*x = 100. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 830, 1675, 2472, 3197, 3826, 4335?\n\"Answer: -4*f**3 + 873*f - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 340864774 to the power of 1\/5, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 234967 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -5, 1, -9 in decreasing order.\nAnswer: 3, 1, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -64471 divided by 101?\nAnswer: -64471\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = f - 2*k, 4*f + 4*k - 28 - 8 = 0. Suppose 6*w - 7 - f = 0. Solve -w*d = -2 - 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) be the first derivative of 2839*r**7\/7 - 709*r**3\/3 + 1384. What is the third derivative of a(s) wrt s?\nAnswer: 340680*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 43a9a (base 11) to base 7\nAnswer: 354141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h - 2*t - t = -4, 3*h + 3*t + 6 = 0. Put h, 4, -0.3 in ascending order.\nAnswer: h, -0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -d = -5*a + 172, -4156*d + 4151*d + 155 = 4*a for a.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 199667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 0.2 times 19\nAnswer: 3.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s - 2*q - 1958 = 2624, 2*s - 5*q - 1837 = 0. Suppose -3*u = u + s. Let d = 387 + u. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine y, given that 44*y**4 + 5604*y**3 - 209784*y**2 + 506944*y + 212352 = 0.\nAnswer: -158, -4\/11, 3, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 251 + -101. What is the greatest common factor of 15 and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 30217 and 10988?\nAnswer: 120868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4119*y = 4129*y - 20. Find k such that -33\/2*k + 8 + k**y = 0.\nAnswer: 1\/2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = 408*o**2. Let i(n) = 20*n**2. Calculate z(i(s)).\nAnswer: 163200*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -1c0 (base 14) in base 3?\nAnswer: -111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -68 - 79 = -3*b. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3304, -6688, -10072, -13456?\nAnswer: -16840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 11\/232 and -111\/968?\nAnswer: 28072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -17 - -5. Let h = -11 - z. Suppose -3*m - 7 = 2*o, m - o - 3 = 3*m. Calculate the remainder when m is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -12, 398, -56\/9, -1\/7 in ascending order.\nAnswer: -12, -56\/9, -1\/7, 398","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i - 2*t + 1139 = 5780, 3*i - 5*t - 4659 = 0. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30043152 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) be the first derivative of 3*b**4\/4 + 2*b - 3. Differentiate l(k) wrt k.\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 979\/5 - 15579\/80. Let q = 8 + -4. Find the common denominator of m and (-1310)\/224 + q\/14.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1808704901 to the nearest integer?\nAnswer: 1218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (11\/(-297))\/((-66)\/(-220) + (-4)\/30)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -710, -807, -904?\n\"Answer: -97*n - 613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*a = 27*a + 240. Is ((-375)\/a)\/(-15)*-1588 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:15 PM and 1:31 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = 89*z + 801. Let u be j(-9). Solve -5*y - 5*k + 5 + 5 = u, 0 = 2*y + 3*k - 7 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 0 + -17672565?\nAnswer: -17672565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 200 + -29. Let w = 296 - f. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve g - 5*n - 3 = -0*g, 0 = -3*g + 4*n + 9 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 73\/98 and (-314)\/(-105) - ((-1134)\/70 + 16).\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -c**2 + 4*c + 1. Suppose 4 = 2*t + 12, -2*w - t = 0. Suppose 4*p = -p - 15, -3*s = 5*p - 9. Suppose w*l = 6*l - s. What is m(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 35479?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.6?  (a) -1489  (b) 4\/7  (c) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 14.1029 rounded to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/((2880\/100)\/24*2\/(-12))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c + 12 = -28. Let d = 12 - c. What is the highest common factor of 32 and d?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 z, 1 n, and 1 b when four letters picked without replacement from zbeoppzoeoznpb.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*c = -3*c - 2*c. Suppose 4*w + 3*n - 614 = 0, c*w + 2*n - 151 = -w. Let f be (-2)\/((-10)\/w) + -2 + 6. Calculate the highest common divisor of 10 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 312*q**2 - 189*q**2 - 1 + 1 in the form i + j*q**2 + t*q and give j.\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = j**3 + 80*j**2 - 161*j + 1074. What is the thousands digit of g(-81)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 122377 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -62 + 61.896. Let i = s - 0.05. Let d = 0.056 - i. Round d to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7177754.\nAnswer: 2, 3588877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -t**3 + 16*t**2 - 26*t - 33. Determine k(14).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 101\/10 + -99\/10. What is the second smallest value in 0.07, 5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 145*b**4 - 4*b**3 - 148*b**4 + 3*b**3 - 2*b + 0*b**3 + 10*b**2 - 5*b**2 in the form v*b + t*b**4 + s*b**3 + q + g*b**2 and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u = 10, -x = 2*u - 240 - 110. List the prime factors of x.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4\/79 + -170\/237. Sort j, 0, -1.3.\nAnswer: -1.3, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 364456.\nAnswer: 2, 45557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) be the first derivative of l**5 - l**2\/2 + 3. What is the second derivative of v(a) wrt a?\nAnswer: 60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -14667, -122951, -416863, -989217, -1932827, -3340507, -5305071?\n\"Answer: -15469*j**3 - j + 803","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) be the second derivative of f**5\/30 - 5*f**4\/18 + 8*f**3\/9 - 4*f**2\/3 - 75*f. Factor w(o).\nAnswer: 2*(o - 2)**2*(o - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -3\/467032?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-6 - -5) + 3)\/((-4)\/(-10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9491352832146 minus -1?\nAnswer: 9491352832147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 9797 - 8156. What are the prime factors of j?\nAnswer: 3, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine p so that 62*p**2\/5 + 6*p\/5 = 0.\nAnswer: -3\/31, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = 9*c + 399. Let f be w(-44). Suppose 2*l + 4 = 7*g - 5*g, -3*l = f*g - 24. Sort 1, 4, g, 14 in increasing order.\nAnswer: 1, 4, g, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11680\/(-73)*9\/(-72)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 77\/615 and -89\/1155.\nAnswer: 47355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 - (-2 - (-11 + -13))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 + -12 - -14) + -1 + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -486419808 at most as big as -486419807?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-118)\/4)\/(-5 - 196\/(-40)). Suppose 3*d = 12, 7*d = -3*u + 3*d + y. List the prime factors of u.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 533 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:52 AM and 12:45 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = y**3 - 7*y**2 + 8*y - 9. Let f be u(6). Let m be f + -5 + 2 + 130. Suppose 6 = 4*a - m. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/18)\/2*2.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o - 5 = 3*u, u = -4*o - 134 + 139 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 11794*t - 93575 wrt t?\nAnswer: 11794","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) 220\/3  (b) 34  (c) -3\/2  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8 + 6 + 21)*(1 + 3 - 6)*(-3*p + 4*p + 0*p).\nAnswer: -38*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-7)\/((-70)\/4))\/(-6 - 248\/(-40)). Solve g*l + 0*m + 5*m = -26, 5*m + 8 = 4*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -16*u**2 - 100*u + 92. Let x(y) = -3*y**2 - 2*y + 1. Let f(g) = -h(g) + 6*x(g). Factor f(i).\nAnswer: -2*(i - 43)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 145\/548544 and -85\/399?\nAnswer: 72956352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 966*h + o + 7 = 963*h, 4*h - 5*o = -41 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 6 (base 9) to base 13\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-3)\/(-5)*41\/12 and -1 + (-363)\/(-72) - 0?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2.59, 3.5, -0.3 in descending order.\nAnswer: 3.5, 2.59, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4856564?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:47 PM and 10:21 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 7 and 21212513.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/4, -130370, 5, 0, 3 in increasing order.\nAnswer: -130370, 0, 1\/4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 144 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out -361004 - 0.1.\nAnswer: -361004.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = 3*n**2 + 100*n - 965. What is w(-40)?\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Product of -4 and 826821.\nAnswer: -3307284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1013322001 (base 4) in base 9?\nAnswer: 488014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*n**2 + 3*n**2 - 2*n**2 + (2*n - 4*n - 4*n)*(n + 3*n - 5*n) - n**2 - 3*n**2 + 2*n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2094096 (base 11) to base 10.\nAnswer: -3680320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-135)\/(-27) + 140\/15*1\/(-2). Which is the closest to -0.1?  (a) 2  (b) 11  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -g = 8*g + 18 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (8216\/(-39))\/(4\/(-6))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -112*(20 + -7 - 6). Let k = -616 - j. Calculate the greatest common factor of 63 and k.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = l**2 - 6*l - 11. Let t be p(8). Let u = t - 1. Suppose 20 = -2*c + 7*c + 5*v, -5*c = u*v - 24. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1933.031544518 - 2.2.\nAnswer: -1935.231544518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11937 is divided by 543?\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 46 and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 943 less than 546817808?\nAnswer: 546816865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/99 in 3\/4, -0.065, 2, 0.4, 3?\nAnswer: -0.065","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8540*q**3 - 402*q**3 - q**2 + 1725*q**3.\nAnswer: 9863*q**3 - q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2 + -1. Let m be 0\/(-1) - (-6 + a). Suppose m*t = -200634 - 1249366. What is t rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t = 4*m - 2*t - 28, 0 = -t - 5. Suppose 2*x - 12 = -2*y, -x + y = 6*y - 22. Find the second derivative of 2*g - 3*g + 8*g + 6*g**m - x*g wrt g.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3 + 212*l**2 - 524*l + 599*l**2 + 3 - 271*l**2 wrt l?\nAnswer: 1080","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (14450\/969)\/(-34) - 2\/(-19). Let m = -20.025 - -0.025. Let y = -18.4 - m. Which is the second smallest value?  (a) y  (b) 0.4  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) be the third derivative of -p**6\/120 - p**5\/6 - 5*p**4\/12 - 13*p**3\/6 + 32*p**2. What is h(-9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -9*u**2 + 2*u. Let i(l) = 23*l**2 - 5*l. Let k(j) = -2*i(j) - 5*m(j). Let d(b) = 919*b**2. Determine k(d(p)).\nAnswer: -844561*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 11 + -121431334?\nAnswer: -121431323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 290269 is divided by 964?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*h - 8 = 11*h. Let s(p) = -8*p. Calculate s(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -u**3 + 10*u**2 - 6*u - 21. Let w be v(9). Solve -2*n = m + 6, 0 = m - 3*n + w*n + 11 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2207352 and 30?\nAnswer: 11036760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 1\/192 and 91\/30?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -10*r**3 + 4*r**2 + 2*r - 2. Does 18 divide f(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 7 + -11 - 5\/(-1). What is the fourth smallest value in -5, z, 0.3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1708.\nAnswer: 2, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -23.992 - 0.008. Let z = 14.76 + 0.24. Let b = q + z. Which is bigger: -1 or b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(-1 + -1*(sqrt(1584) + -2) + 3 + sqrt(1584)*2)**2.\nAnswer: -8000 - 480*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -218*v = -5398*v - 583*v - 895*v - 512666 for v.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 112 - 110. Suppose -23*c + 25 - o = 0. Let p(q) = 1. Let d(i) = -2*i + 4. Give c*d(y) - 2*p(y).\nAnswer: -2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = q**3 + 2*q - 3. Let m be u(2). Let z(k) = k**2 - 9*k + 4. Let w be z(m). Suppose -w*a = -2*a - 160. What is the remainder when a is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 94360046?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -75*o + 151598 + 18871 = 66*o. Calculate the highest common divisor of o and 1767.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 171 minutes before 6:40 PM?\nAnswer: 3:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 121682?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -14*q**3*y**4 - 612*q**3 + 13*q**2*y**4 wrt y?\nAnswer: -56*q**3*y**3 + 52*q**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -145507 + -4467?\nAnswer: -152176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -2 divided by -2438430\nAnswer: 1\/1219215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 69 is divided by 21?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10002100 (base 3) to base 4.\nAnswer: 203022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/7, -9\/2, -1.1, -1 in decreasing order.\nAnswer: 2\/7, -1, -1.1, -9\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -3*n**2 + 14*n + 16. Let w be d(12). Let j = w - -470. List the prime factors of j.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:30 PM and 3:13 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -3*q**2. Suppose -4*b + 0*b = -3*z + 218, 0 = -4*z - 5*b + 239. Let j(c) be the first derivative of 66*c**2 + c**3 + 2 - z*c**2. What is g(j(a))?\nAnswer: -27*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22 = -2*b + 4*f, 2*b + 100 = 2*f + 84. Let d(n) = n**2 + n - 1. Let v = 30 - 28. Let t(w) = 0*w - 8 - 7*w**v - 5*w + 13. Give b*d(r) - t(r).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*v + 4*z - 88 = 0, 68971*v + 5*z = 68969*v + 94 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 3*s. Let j be z(2). Suppose 0 = -g + 4*g - j. Factor 2\/7*l**g - 4\/7 + 2\/7*l.\nAnswer: 2*(l - 1)*(l + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11 + 8 - 9630*v - 23857*v + 17934*v - 43358*v.\nAnswer: -58911*v - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p + 1 = 11. What is the highest common factor of 2 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -19.504 - -19.484. Which is the fourth biggest value?  (a) 0.04  (b) 3\/2  (c) k  (d) -4  (e) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -117*((-860)\/7740 - (-2)\/(-18 - 0))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 37848732 - -4?\nAnswer: 37848736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -o**3 - 10*o**2 + 169*o + 40. Determine n(-19).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -19\/300 and 1\/2 + (-6215)\/6750 + 36\/90?\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 + 0 - 454*k + 0.\nAnswer: -454*k + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 11 + (-11 - 20\/(-10)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 3504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 9920.314 days in minutes?\nAnswer: 14285252.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 767.3 - 737. Let o = -30.24 + y. What is the closest to -0.1 in o, -0.2, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 6 or 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1.72 + -1.82. Suppose 2*i - 7*i - 30 = 0. Let a be (8\/(-110))\/(i\/(-15)). Which is bigger: h or a?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 10933*z**3 - 2*z**2 - 4005*z wrt z?\nAnswer: 65598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Do 574\/9 and 65 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 10 - 9.5. Let k = 0.4 - u. Sort -2\/15, k, -0.5.\nAnswer: -0.5, -2\/15, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z - 1226 = -3*c, -z + 3*c - 302 = -0*c. Let t = z - -310. Solve a + t*d = 3*a - 6, -5 = 3*a + 4*d for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0 - 1. Let n be h\/(-2 + 3\/2). What is the third derivative of -8*d**3 + d**2 + 13*d - 5*d**n - 13*d wrt d?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3015889 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express 733 + 18946*u**2 - 3572 - 18947*u**2 in the form h + y*u + n*u**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -200478318 or -200478315?\nAnswer: -200478315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1741*b**3*q**3 - 75*b**3 + 2*b*q**3 - 6*q - 12 wrt q.\nAnswer: -10446*b**3*q + 12*b*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -783\/34 or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -406*g = -3*a - 410*g + 6, -a + 5*g = -2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-11)*(o**18\/o*o)\/o*(o\/(o*o**(-5)*o*o*o))\/o*o**(-2\/13))**(6\/35) assuming o is positive.\nAnswer: o**(534\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 - 10*b + 12*b**2 - 27*b**2 + 17*b**2 + 4.\nAnswer: 2*b**2 - 10*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 7*w - 14*w + 6 + 15*w + w**2 + 0*w**2. Let d be ((-6)\/8)\/(2\/16). Determine j(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 64604350 divided by -1218950?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 40*d**2*y - 2180028*d**2 - 137*d*y - 4*d + 1059*y + 6 wrt d.\nAnswer: 80*y - 4360056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(77)*-1)\/((sqrt(252) - 2*sqrt(252)) + sqrt(7) - sqrt(7)).\nAnswer: sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -102 - -105.4. Round w to 1 dp.\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -423243*b**5 - 285*b + 65.\nAnswer: -8464860*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Product of 20.7 and 0.3.\nAnswer: 6.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((q**(-2\/13)\/q)\/(q*q\/q**1))\/(q**(5\/6)*q*q**9\/q*q))**(-7))**(-45) assuming q is positive.\nAnswer: q**(-106365\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -95*h*s + 1124*h - 425*s + 260 with respect to s.\nAnswer: -95*h - 425","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -567.8 to the nearest ten.\nAnswer: -570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 11079\/4 + -2761. Let -20*w - 125\/4*w**2 - 95\/4*w**3 - p*w**4 - 5\/4*w**5 - 5 = 0. What is w?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) be the second derivative of 5*l**4\/12 + 3*l**2\/2 + 1705*l - 2. Let h = -5 - -9. Suppose -y - h = -0*y. Let x(z) = 4*z**2 + 2. What is y*x(b) + 3*v(b)?\nAnswer: -b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 41555052 a multiple of 171?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 97  (b) 3.8  (c) -1\/898\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Add 0 and 8704268277296.\nAnswer: 8704268277296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 3*u - 40 = 0. Suppose 0*w = 2*w - u. Suppose 10 = -w*b, 2*i - 97 = b - 35. Is i a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-98)\/8)\/(-7) + -1. Let g = -4 - 1. What is the nearest to 2\/5 in n, g, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 701d + 2?\nAnswer: 7021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-44)\/(-22)*(-2)\/8. Sort k, -5, -9 in descending order.\nAnswer: k, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 12*y**3\/7 - 33425732*y**2\/7 + 23276651923540*y\/7 + 7758887688484\/7 = 0. Calculate y.\nAnswer: -1\/3, 1392739","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 40, 64, 126, 244, 436, 720?\n\"Answer: 3*b**3 + b**2 + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -42, -4, 289, 4, 0, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = m**2 - 3*m - 1. Let a be r(-2). Factor -6*i**3 + i**2 - a*i**4 - 4*i**2 - 3*i**5 - 3*i**3.\nAnswer: -3*i**2*(i + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 50*h**2 - 96*h**2 - 6*h + 47*h**2 - 32*h to the form p*h**2 + w + t*h and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 857698592 to the nearest integer?\nAnswer: 950","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -762.72834 + -0.73166. Round q to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 61 and -9?\nAnswer: -549","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = v**2 + 3*v + 2. Let y(f) = 4*f - 2. What is the smallest common multiple of b(-4) and y(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1658437.\nAnswer: 11, 150767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u + 549 + 607 = 3*o, -4*o + 1528 = 4*u. Calculate the lowest common multiple of o and 174.\nAnswer: 2262","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 8.75 + -8. Round h to one decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 376738848 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27*z + 52*z = 75. Solve -5*t + 3*k + 5 = -7*t, -z = t + 2*k for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = 2*m, o - 5*m - 15 = 2*o. Let h be 4 + ((-6)\/(-9))\/((-2)\/3). Let a be ((-22)\/4 + 4)*(h - 7). Solve -4*x = o + a for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 84367 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 42 = 3*b, -3*w + 3*b + 39 = 9. Suppose -2*v + w = 30. Which is bigger: v or -13?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2031 + -1503. What is the greatest common factor of 363 and w?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(19)*2*4 + -2*sqrt(1539) - (sqrt(19)*-2 + sqrt(19) + 3 + 3 + 0 + sqrt(19)))**2.\nAnswer: 120*sqrt(19) + 1936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) be the first derivative of h**3 - 3\/2*h**2 + 1 + 0*h. What is the second derivative of k(y) wrt y?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -18 + 53. Suppose -9*w + c = -91. What is the remainder when 52 is divided by w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ott when three letters picked without replacement from {o: 13, t: 5}?\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor d**3\/4 + 11794*d**2 - d\/4 - 11794.\nAnswer: (d - 1)*(d + 1)*(d + 47176)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*q**5*u + 11*q**5 - 3*q**3*u - 15*q**2*u - 7*q**2 wrt q.\nAnswer: -120*q**2*u + 660*q**2 - 18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(120)*-2)\/sqrt(8) - -2*sqrt(240))\/(sqrt(20)\/(2*sqrt(196) - sqrt(196))).\nAnswer: 42*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2313300333 - 2?\nAnswer: 2313300331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -v**3 + 8*v**2 + v - 2. Suppose 2*r = -3 + 19. Let u be n(r). Let j be (-128)\/(-12) + (-4)\/u. What is the highest common factor of j and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 549 minutes before 5:29 AM?\nAnswer: 8:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*f + 23 = 3*c, -3064*f + 1532*f + 5*c = -1530*f + 1 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4146059?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1114 - -1208. Calculate the greatest common factor of b and 1598.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-3 - -2 - -3)\/(0 - 2). Let g be ((-1)\/a)\/(-1 + 0). Is -1\/54 at most g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -h**3 + 14*h**2 - 20*h - 6. Let s be q(12). Suppose -3*r - 40 - 47 = 0. Let k = r + s. Is 10 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) be the third derivative of 249*z**7\/70 - z**6\/60 - 964*z**4\/3 - 409*z**2 - z + 1. What is the second derivative of c(o) wrt o?\nAnswer: 8964*o**2 - 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = 3*s + 14*s - 2*s - 1. Suppose 17*l - 22*l + 5 = 0. Give d(l).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -159828*l**5 + 2*l**2 + 18879*l + 1.\nAnswer: -9589680*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 0*(-3 + 1 + 3). Suppose d = -k - 3. Let u(c) = 4*c**2 + 4*c + 2. List the prime factors of u(k).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -56729*m**2*u + 273*m*u - m - u + 9 wrt m.\nAnswer: -113458*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 884676*c**4 - 1620548*c + 1.\nAnswer: 10616112*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 3 + 8 = a, 0 = -2*a + g + 1. Solve -y + 2*w - 8 = -w, a = -5*y - 5*w + 20 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 13314\/31 or 428?\nAnswer: 428","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 4 divided by -46\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.4 and 0.13372.\nAnswer: 0.53372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:15 AM and 11:26 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p*p**(2\/5)*(p*p*p*p**(-3\/2)\/p*p)\/p assuming p is positive.\nAnswer: p**(19\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 96365862 and 34032.\nAnswer: 4254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -25, -90, -205, -376, -609, -910, -1285?\n\"Answer: -m**3 - 19*m**2 - m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 2, -52, -14, -55 in descending order.\nAnswer: 2, -5, -14, -52, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 254870 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((j*j**(-2))\/j)**(13\/2))**(3\/14) assuming j is positive.\nAnswer: j**(-39\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*f = 7*f - 5*f + 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = 2292*r. Let q(j) = 3*j. What is q(h(v))?\nAnswer: 6876*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -4*n - 5. Calculate z(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -157057762, -157057768, -157057774, -157057780, -157057786, -157057792?\n\"Answer: -6*c - 157057756","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -79024 by -19756.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (1 + 0 - -10) + 4361\/(-712) and 9\/1298?\nAnswer: 5192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 36666*v**2 - 488186 wrt v.\nAnswer: 73332*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 9*w + 123 - 267. Suppose 0*o = -w*o + 1152. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -8 + 20. Suppose 8*x - l = 6*x. Find the second derivative of -11*z + 0*z**3 + 0*z**3 + x*z + 4*z**4 wrt z.\nAnswer: 48*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 2*k**3 + 91*k**2 - 365*k - 9197. Determine w(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*s - s + 35. What is the highest common divisor of 14 and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -8*u**2 - 379*u - 849. Give x(-40).\nAnswer: 1511","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2\/3, -0.3, -0.087, 28.7, 3\/7, 32?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -0*j + 4*j. Let c(a) be the third derivative of -a**6\/120 - a**5\/30 - a**4\/12 + a**3\/6 + a**2. What is the units digit of c(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lazdarlalzb. What is prob of picking 1 a and 1 b?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 35*s - 39*s + n + 14, 2*n = 6*s - 20 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.032  (b) -3  (c) 4  (d) -0.0045  (e) 2\/11  (f) 2\/29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.855267 rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: What is 32.99 take away -81218?\nAnswer: 81250.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -5472 - -5736. What is the highest common divisor of t and 16764?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24*r - 4*q - 5*q + 22 = -29*r, 2*q = 6 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -5*i**2. Let n(s) be the third derivative of s**4\/4 + 26*s**2. What is w(n(t))?\nAnswer: -180*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -57\/10 and -5\/1684817.\nAnswer: 16848170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4*r - r + 3*r)*(-9*r - r + 0*r)*(10*r + 22*r + 5*r)*(0 + 4 + 1) + (0*r**2 + r**2 - 2*r**2)*(-3*r - r + 5*r) to o*r**2 + l*r + y*r**3 + p and give y.\nAnswer: 3699","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + -8 + 6 + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: ((-198)\/30)\/((-42)\/(-140))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - 35 = 3*l, -7*l + 11 = -q - 10*l. Sort 34, -3, q in increasing order.\nAnswer: -3, q, 34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.038853 and -30.09?\nAnswer: 1.16908677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -6152 - -6151. Which is the second smallest value?  (a) 550  (b) o  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-j**2 - 4*j**2 + 4*j**2)*(-4*j**2 - 4 + 4)*(27 - 27 - 7*j).\nAnswer: -28*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 359 - 305. Let w be 12\/s - (1 + 328\/18). Which is smaller: w or -15?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 1\/20 of a kilogram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine q, given that 3*q**5\/5 - 18*q**4\/5 + 18*q**3\/5 + 12*q**2 - 117*q\/5 + 54\/5 = 0.\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*b - 3*j - 31, -47 = -2*b - 52310*j + 52315*j for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 9941384939 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is z in 46*z**3 - 7852*z**2 + 13214*z - 5408 = 0?\nAnswer: 16\/23, 1, 169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*s - 10 = -y, 19 = -5*s + 22*y - 24*y for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 178, 170, 158, 142, 122, 98, 70?\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37*j + 90383 = 6652. Calculate the greatest common factor of j and 219.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 8256 and 4800?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m - 3*z - 268 + 234 = 0, 5*z + 74 = 2*m. Factor 2\/7*f + 4\/7*f**m + 2\/7*f**3 + 0.\nAnswer: 2*f*(f + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 66\/(-63)*-3 + -3. Which is the closest to 2\/9?  (a) x  (b) 2\/17  (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -23 + 26. What is the second derivative of -6 - o**3 + 6 + 0*o**m - 9*o wrt o?\nAnswer: -6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 9578 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.3, -784, 5 in decreasing order.\nAnswer: 5, -0.3, -784","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*s**3\/5 - 6384*s**2 - 63870*s - 159700.\nAnswer: 2*(s - 15970)*(s + 5)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 54 = 114. Let y be t\/(-12)*9\/(-2). Suppose 2*n = -5*i + 3*n + 116, -i - 2*n = -y. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = s + 3*u - 5, -u = 5*s - 4*s - 5. Solve 0 = -m + 1 - s for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = t + 10. Let w be u(-5). Let j = -12 + w. Do j and -8 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000012963473 rounded to 6 decimal places?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express 2316*u - 2659*u + 2371*u as d + t*u and give t.\nAnswer: 2028","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -k**2 + 7*k + 2. Let s be j(7). Do s and 8\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -13 + 11\/2*w + 1\/2*w**2.\nAnswer: (w - 2)*(w + 13)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1247 (base 9) to base 13\nAnswer: 56b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -6*v**2. Let d(h) = 4*h. Let a(n) = -4*n - 5. Let p(b) = -2*b - 2. Let m(u) = 2*a(u) - 5*p(u). Let g(r) = -2*d(r) + 5*m(r). What is g(z(s))?\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 52 and 3328?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 96*525\/30240*(2\/(-3))\/((-30)\/1593)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -a**2\/6 + 53*a\/3 + 420.\nAnswer: -(a - 126)*(a + 20)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 19276969 to the power of 1\/5, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = 22*h**2 + 18. Let b(t) = t**2 + 1. Let a(k) = -12*b(k) + p(k). Let i(m) = -m**2 - 1. Give -a(q) - 6*i(q).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 times -6.52?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 592 minutes after 7:32 AM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 854670675 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 65, 77, 119, 233, 461?\n\"Answer: 7*n**3 - 27*n**2 + 44*n + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 29917 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (93*m - 20*m + 10*m + m + 2*m + 0*m + (0 + 0 + 1)*(4*m + 6*m - 15*m) + 0*m - 2*m + 0*m)*(5 - 4 + 1) to the form w + s*m and give s.\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 527 and 93.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 1 y when two letters picked without replacement from {w: 2, l: 3, y: 4, n: 1, c: 1}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1084000 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = w**2 - 23*w - 47. What is the smallest common multiple of y(25) and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 105 and 336?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 7*z + 17*z**3 - 38*z**3 + 25*z**3 wrt z?\nAnswer: 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = 4*x**2 + 2*x + 1. Let w(i) = 1 + 571*i - 2 + 0*i**2 - 1145*i - i**2 + 573*i. Calculate 2*k(l) + 4*w(l).\nAnswer: 4*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(1\/2)*l**(-1\/9)\/l*l*(l**(2\/31)\/l)\/(l\/l**(-3\/8)))\/(l*l**(2\/7)*l**(-5)*l*l**0*l**(-4)\/l) assuming l is positive.\nAnswer: l**(90505\/15624)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -217503110 to the nearest one million.\nAnswer: -218000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31*a + 8 + 17 + 37 = 0. Solve 3*w = -5*z - 2, 1 + a = 3*w for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 - (16 + 3 - 5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 3142, 13557, 31150, 55921, 87870?\n\"Answer: 3589*c**2 - 352*c - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 60, -0.0306, -0.1?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4)\/(-1))\/(92\/(-184))*(-5)\/(-44)?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) be the third derivative of 1\/6*c**3 + 13\/180*c**5 + 0*c + 29*c**2 - 11\/72*c**4 - 1\/72*c**6 + 0. Factor y(k).\nAnswer: -(k - 1)**2*(5*k - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 5385875\/9588618 - -2\/59189. Find the common denominator of -49\/1620 and t.\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 - (5 - (0 + (1 - 0)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s**2)\/(s**(-2\/5)\/s))\/((s**(-2\/13)\/s)\/(s**(-9)*s*s*s)) assuming s is positive.\nAnswer: s**(-29\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -x**5 - 137852*x**4 - 79*x**3 - 42839888*x**2.\nAnswer: -60*x**2 - 3308448*x - 474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -4*x**2 + 238*x - 25. Let g(z) = -7*z**2 + 475*z - 42. Determine 3*g(k) - 5*w(k).\nAnswer: -k**2 + 235*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -i**3 + i**2 + 2. Suppose 5*x + 8 = -12. Let f(m) = -5*m**3 + 4*m**2 + 9. Determine x*f(k) + 18*h(k).\nAnswer: 2*k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a = 3*j - 3 + 2, -3*a - 3 = -3*j. Let v = a + 9. Solve 0 = -5*k + v + 8 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1425677?\nAnswer: 11, 129607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 2*h - 6. Let p be k(5). Let d(c) = 2*c + 2*c**3 - 91*c**2 - c**3 + 87*c**2. What is d(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = 2*b - 603. Let r(k) = -4*k**2. What is f(r(u))?\nAnswer: -8*u**2 - 603","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*l = 2*k - 23, -3*l = 4*k - 2 + 1 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -97 - 19b?\nAnswer: -265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 73722?\nAnswer: 2, 3, 11, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2\/303 + -806\/303. What is the nearest to -0.5 in -1, m, -2\/7, -5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -40 (base 6) to base 13.\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = t - 7. Suppose -2*n = -4*n, n = -a + 8. Let j be m(a). Let l be ((-1)\/(-15))\/((-1)\/2). Which is smaller: j or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6\/2)\/117*(-54)\/48*16.\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 10  (b) 43\/4  (c) -0.3  (d) 4\/3  (e) -118\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 6}. Give prob of picking 2 k.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.42 - -0.02. Suppose 0 = -z - 0 - 2. What is the third biggest value in z, v, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) be the third derivative of -m**4\/24 + m**3\/2 - 5*m**2. Calculate h(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28 = -4*g + 343*v - 339*v, 0 = -2*g - 3*v - 36 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -14\/9 - -1\/18. Suppose 12*f + 1 = -35. Let p be (12\/189*f)\/(12\/18). What is the closest to b in -4\/5, p, 3\/4?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) be the first derivative of -l**6\/240 - l**5\/120 + l**4\/24 - 5*l**2\/2 - 6. Let o(g) be the second derivative of a(g). What is w in o(w) = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 25\/6  (b) 3\/4  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1119?  (a) -125  (b) -1\/3  (c) -0.5  (d) -32  (e) 0.5  (f) -1\/8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (4\/(-94))\/(44\/10). Let b = 11981\/9306 + l. Let i = 346463\/14 + -24753. Calculate the common denominator of i and b.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) be the first derivative of -u**6\/3 + 10*u**3\/3 - 4. Find the third derivative of b(i) wrt i.\nAnswer: -120*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6 (base 12) to base 11\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -7*u**3 + 3*u**2 + 2*u - 27. Let i(p) = -3*p**3 + p**2 + p - 13. Let h(a) = 5*i(a) - 2*l(a). Let r = 178 + -142. Let n = r + -36. Calculate h(n).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 335*(-3)\/(-15)*3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -19 = -3397\/186?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8*o + 2*o - o + (-3 + 3 + 2*o)*(-15 + 8 + 16)*(-4 - 3 + 5)*(-27 - 14 - 36) to the form x*o + l and give x.\nAnswer: 2765","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 134932 is divided by 134886.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -3*x. Let l(h) = -5*h**2 - 17*h**2 - 25*h**2. Give d(l(i)).\nAnswer: 141*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p - 1 = 0, -p = -5*r + p - 48. Let u be (8\/r)\/((-12)\/(-30)). Is (0 - -1 - u) + 48 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 286855756?\nAnswer: 2, 11, 17, 101, 3797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (25 - 42 + 54)*(5*z**2 + 0*z**2 - 4*z**2)*(-337 + 337 - 78*z).\nAnswer: -2886*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -13369 - -20458. Suppose -1619 + d = 5*g. What are the prime factors of g?\nAnswer: 2, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 4*v**6 + 303*v**4 + 353*v**3 - 333869*v**2 + v - 6?\nAnswer: 480*v**3 + 7272*v + 2118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 14  (b) 2  (c) 1  (d) -4  (e) -17\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 - 2) + (4 + -21 - 18 - -132)?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 27850117 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from laaa. Give prob of sequence aa.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.4 + 209.4. Let b = -208.791 + j. What is b rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 9*c**2 - 610*c + 463. Give a(67).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -16 - (-1 + -21) - (-1 - 0).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 6*q**3 + 275*q**2 - 7126*q - 7399. Let n(m) = m**3 + 4*m + 1. Let c(u) = -d(u) + n(u). Factor c(t).\nAnswer: -5*(t - 20)*(t + 1)*(t + 74)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -3\/841189 or -1?\nAnswer: -3\/841189","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(128) + 2 + -2 + sqrt(8)\/sqrt(4) + -2 + -1)*4.\nAnswer: -12 + 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 140870466 divided by 251106\nAnswer: 561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 3, 0, 1\/5, 5, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 549 minutes before 11:55 PM?\nAnswer: 2:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -5305\/8 - -662. Find the common denominator of 79\/20 and c.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 2 - 6c?\nAnswer: -6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*b + 8*b + 10 = 0. Sort 3, b, 5, -86 in decreasing order.\nAnswer: 5, 3, b, -86","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -14058*j**4 + 36*j**3 + 7904. Let t(k) = -42173*k**4 + 99*k**3 + 23717. Let q(n) = -4*t(n) + 11*w(n). Find the first derivative of q(v) wrt v.\nAnswer: 56216*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**2*k*k)**(4\/7))**(2\/9) assuming k is positive.\nAnswer: k**(32\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 33426247 a multiple of 163?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 4195584 and 466176.\nAnswer: 4195584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 13, 2\/3, 105\/4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nwstr. What is prob of picking 2 r?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = k**3 + 6*k**2 - 6*k + 4. Let x = -127 + 119. Let o be 1 - (296\/(-32))\/((-2)\/x). Suppose 10*g = -32 - o. Determine z(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -2*i**2. Let d(t) be the second derivative of t**4\/12 + 16*t**2 + 1383*t. Determine d(z(j)).\nAnswer: 4*j**4 + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = n**3 + 3*n**2 + 10*n + 5. Let s be o(-2). Let x(z) = z**3 + z**2 - 2*z + 1. Let d be x(-3). Is d at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 28181 (base 12) to base 10\nAnswer: 55537","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 16956 and 13188?\nAnswer: 118692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-3)\/(-6) + 0)\/((-1)\/(-134)). Suppose d = 2 - 4, -z + l = 5*d. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 962*j = 11*p + 959*j + 52, 0 = -5*p + 3*j - 22 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 85\/((-93075)\/(-2263))*5.\nAnswer: 31\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4457840 is divided by 2228849.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1212 (base 5) to base 16.\nAnswer: b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 434.6724ns to milliseconds.\nAnswer: 0.0004346724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1 - 0. Suppose 0 = 2*a - a + y. Find the common denominator of (a - -2) + 45\/(-8) and 65\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 times -2421344?\nAnswer: -12106720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 758, 759, 760, 761, 762, 763?\n\"Answer: a + 757","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(sqrt(19) + sqrt(171)\/sqrt(9))**2 + (1*sqrt(76))**2.\nAnswer: -304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 35742.4 hours?\nAnswer: 128672640000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(sqrt(425) + -1)**2*6 + 1.\nAnswer: -360*sqrt(17) + 15337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 4.65 - 217.65. Let h = 212 + u. What is the closest to 36 in 2\/17, 0, h, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*g**2 - 2*g**2 + 0*g**2)*(0 + 3 - 1)*(-4*g + 4*g - 4*g) + 0*g**3 + 0*g**3 + g**3.\nAnswer: -15*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = 33*b**4 + 2*b**2 - 28*b. Let n(q) = -33*q**4 - 3*q**2 + 28*q. Let l(p) = 2*n(p) + 3*r(p). Find the second derivative of l(y) wrt y.\nAnswer: 396*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 236 minutes before 2:40 PM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1*(-1 - -2)*-1. Let f(n) be the second derivative of -2*n - 1\/2*n**2 + 5\/6*n**3 + 0. Give f(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -m**3 - 37*m**2 - 348*m - 24. What is s(-19)?\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yvyy when four letters picked without replacement from {v: 2, y: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 335 is divided by 34?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 8853.3 - 8853. What is the fourth smallest value in y, 3, -1\/5, -211\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*o**4\/13 + 203618*o**3\/13 - 4887894*o**2\/13 + 9164926*o\/13 - 4480652\/13 = 0.\nAnswer: -101833, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2708627*c - 44*c**3 - 2708627*c.\nAnswer: -44*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 1043093 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) be the third derivative of 103*n**6\/120 - n**4\/12 + n**3\/2 - 33*n**2. What are the prime factors of k(1)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4\/5)\/4*(-120)\/104.\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11 + -10110100?\nAnswer: -10110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-50)\/(-6))\/5 + -1. Let w be 42\/12*(47952\/2184 + -22). Sort c, 10, w in decreasing order.\nAnswer: 10, c, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 940161.\nAnswer: 3, 313387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 22567 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -3*(5 - (12 - 6\/1)). Let q(u) = -3*u - 2*u - 4*u**3 + 2*u**f - 2 + 3*u + u**3. What is q(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 410980 to the power of 1\/2, to the nearest integer?\nAnswer: 641","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -c*g*i**2 + 3*c*i - 234941*g*i**2 - 12*g - 6500811*i**2 wrt g.\nAnswer: -c*i**2 - 234941*i**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -19, 67, 289, 713, 1405, 2431, 3857?\nAnswer: 5749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Add -477 and -2.\nAnswer: -479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*h**2\/9 + 162856*h\/3 + 977128\/9.\nAnswer: 2*(h + 2)*(h + 244282)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2566655 and 2566655.\nAnswer: 2566655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 51 = -4*b + 31 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 6840 to the power of 1\/2, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1045.\nAnswer: 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 235 minutes after 5:48 PM?\nAnswer: 9:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j = 6*j + 12. What is the nearest to -0.2 in -2, j, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.2 and -10274.\nAnswer: -2054.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide -15812596 by -5.\nAnswer: 15812596\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 2 + (1 - 3) + 5. Suppose 0*j = s*j + 10, 0 = -2*y + 3*j + 412. What is the greatest common divisor of y and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1386470?\nAnswer: 2, 5, 138647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 331502 (base 14) to base 11.\nAnswer: a83681","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 285 and 10.79.\nAnswer: 3075.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4776?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 145019036119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h + 600*j - 182899 = 605*j, -5*h = 4*j - 228593. Is h a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -47995*b**3 + 1070*b**2 - 2*b - 24?\nAnswer: -287970","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 24323 is divided by 785?\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 6769 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 74218?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4370)\/332120 - 8514\/(-152)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = 3*m**2 + 7*m. Let i(g) = -2*g**2 - 5*g. Let p(s) = -5*a(s) - 7*i(s). Let j(o) = 12*o. What is j(p(v))?\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = t**2 + 6*t + 2. Let c be p(0). Determine n, given that -3\/5 - 3\/5*n**5 - 6\/5*n**c - 6\/5*n**3 + 9\/5*n**4 + 9\/5*n = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 22 + -18. Suppose -175 = -4*i - i + x*b, -3*b - 70 = -2*i. Find the second derivative of 35 - i - 8*n - 18*n**4 + 3*n wrt n.\nAnswer: -216*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -234270 by 23427.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:18 PM and 1:11 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 56517592*c**3 - 2*c**2 + 272990887*c?\nAnswer: 339105552*c - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1.215 + -0.015. What is the second biggest value in m, 4, -0.4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -402.6638 + 728.49575\nAnswer: 325.83195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 154711?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*x + 4*x + 2*x)*(-10*x + 37*x - 17*x + (0 + 2 - 3)*(-2*x + 3*x + 0*x) - 1 - 2*x + 1 + 2*x - x + 0*x - 4 + 4 - 2*x).\nAnswer: 18*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) be the first derivative of a**6 - 2*a**3 + 12. What is the third derivative of o(p) wrt p?\nAnswer: 360*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*b + 788*b + 2*b**3 + 16259*b**2 - 16259*b**2.\nAnswer: 2*b**3 + 780*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 848137438?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-11)\/(-44) - 31\/(-4). Let j(c) = c**3 - 8*c**2 + 3*c + 4. What is the tens digit of j(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve x = 5*y + 17, -78*x + 81*x - 6 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 6840 and 38*(-2838)\/(-215)*(-10)\/(-4)?\nAnswer: 75240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 0, -3, 3 in increasing order.\nAnswer: -3, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -97\/729822 and 17\/3?\nAnswer: 729822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-12)\/(-5))\/((-39)\/325*(-12)\/18).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 71, 62, 51, 38, 23, 6?\n\"Answer: -j**2 - 6*j + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 24383 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 31 - 36 - (-5)\/1. Solve b + 1 = -2*k, 0 = -c*b + b - 4*k + 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d + 2*d = 0. Suppose -4*z - 2*h = -7*h - 20, -5*z + 2*h + 8 = d. Let y = -2.9 - 1.1. What is the third biggest value in z, y, 2\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2470695?\nAnswer: 3, 5, 17, 9689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 13303404 (base 5) to base 9\nAnswer: 224877","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10 + (17 - (17 + -11)) + -17.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 66260 is divided by 37?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 77 and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + 27 = 2*i + 2*l, 3*i - 99 = 3*l. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6\/16 + (-1053)\/1080.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ib when two letters picked without replacement from {b: 2, n: 1, i: 1, f: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -4*z - 5. Let m = -9 + 5. Calculate n(m).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-8)\/(-32))\/(2\/40). Find the common denominator of -1 - -5 - u\/(15\/8) and -16\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(-4)*b**(2\/11)*b)\/((b*b\/b**1)\/((b*(b**(5\/3)*b)\/b)\/b)))**(10\/7) assuming b is positive.\nAnswer: b**(-710\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -5 + -6. Let q = j - -15. Suppose -u = -q*u + 33. Calculate the lowest common multiple of 3 and u.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -101 - 20201120012222012?\nAnswer: -20201120012222120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m = -120946 - 151578. Let v = m + -93962. What is v rounded to the nearest 1000?\nAnswer: 42000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 963*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/2 in 5, -0.03, 0.4, 318524?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express -507*g - 986*g + 1788*g as v*g + m and give v.\nAnswer: 295","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 739152 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -192*u + 70*u + 118*u - 9*j - 133 = 0, 3*u + 4 - 2 = -j for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 14.65119 millennia?\nAnswer: 175814.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 37 = -5*o + 8*o - y, -53 = -2*o - 5*y. What is the greatest common factor of 182 and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.4*-98\nAnswer: -39.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 9\/2161  (b) -3  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 336514 is divided by 88?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 5*(-1 - 7\/(-5)). Suppose -n*q - q + 63 = 0. Let a = -11 + q. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -3, -1\/5, -6, 1\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = 11*g. Let n(q) = -25*q**2. Give b(n(r)).\nAnswer: -275*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -41537, -83080, -124625, -166172, -207721, -249272, -290825?\n\"Answer: -g**2 - 41540*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xxlx when four letters picked without replacement from txxltxtt.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 (base 16) in base 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 22063?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (66\/(-7))\/(4959\/(-11571)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -z**2 - 6*z - 1. Let r be h(-5). Suppose 4 = 4*a - r. Solve a*j = 7 - 17 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) be the second derivative of -p**8\/28 - 881*p**5\/10 + p**4\/12 + 159*p**3 + 2*p + 1160. Find the third derivative of d(t) wrt t.\nAnswer: -240*t**3 - 10572","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8217746 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(126)\/(sqrt(6) + sqrt(42)\/sqrt(7)*5))\/((sqrt(7) + sqrt(700) + 1*sqrt(700))*6).\nAnswer: sqrt(3)\/756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 29808 is divided by 738.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = 985*c**2 - 9*c - 14. Let k be d(-6). What is k rounded to the nearest one thousand?\nAnswer: 36000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 492650 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from gvgvggggggvggg?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = 10*h + 8. Let f be c(7). Calculate the greatest common factor of 52 and f.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is k in -101*k**2 - 2057*k + 2158 = 0?\nAnswer: -2158\/101, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -2*m - 12. Give y(5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -d**3 + 2*d**2 + 2*d + 6. Give o(5).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2586*f + 40488 - 12042 = 0 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4 by 14042.\nAnswer: 2\/7021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 141753\/7 + -20251. What is the second biggest value in 2, 28, q, -10?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i = -k, 5*k + 8 = -2*i - 20. What is the closest to -0.1 in 4, k, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 22.1 + -19.163. Round s to 1 dp.\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 20\/(-6) + 0\/18 - (-60)\/24?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = v + 4*a - 216, 2*a + 215 = -3*v + 803. Calculate the least common multiple of 48 and v.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -6 and -0.02213?\nAnswer: 5.97787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 831 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - 5*z - 925 = -2*g, -165 = -g - 3*z. Calculate the least common multiple of g and 20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -27*m - 3 + 5*m**2 + 0*m - 43*m + 88*m - 18*m.\nAnswer: 5*m**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1639 * 15251.\nAnswer: -24996389","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9288 is divided by 143?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -45 + 47.9. Let y = 3 - f. Which is the third biggest value?  (a) y  (b) 1\/4  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 107960 to the nearest integer?\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.434 and 52?\nAnswer: 52.434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = 2*x - 2. Let z be (-2 + 9)*(4\/14 + 0). Suppose 0 = z*w + 4, 2*c + 4*w = -2 - 2. Determine h(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 580.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.8441993km to millimeters.\nAnswer: 844199.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1905\/88 + 171\/8. Let n = 2\/11 + q. Which is greater: n or -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1207755 + -319755. Round c to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2437799 by 49.\nAnswer: -49751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -1, 0.8, 1219, 0.14, 1\/12?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 443 minutes before 4:10 AM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-27950)\/(-22) + 54\/99?\nAnswer: 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 2 from -10645.\nAnswer: -10647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 2305 (base 6) to base 4\nAnswer: 20201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-43)\/6 + (-8)\/(-48). Let p = j - -12. Let t = 2 + p. What is the highest common factor of t and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 10\/7, 5, -2.2 in decreasing order.\nAnswer: 5, 10\/7, -2.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 478311 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 3\/((-6)\/136*(-10 + 14)). Let o(i) = 4875*i - 25. Let w be o(c). What is w rounded to the nearest one thousand?\nAnswer: -83000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (0 - (-4 + 3))\/((-3)\/15)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(405) - sqrt(405))**2 + (sqrt(320)*-1 - sqrt(320)) + (sqrt(20)\/sqrt(2)*6)\/sqrt(2).\nAnswer: -10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -35\/4 and (-2)\/(-14) - (-355)\/1092.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -4*y**3 - 241*y**2 + 1234*y - 41. Determine c(-65).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -3*k**2 - 11*k + 56. Suppose s = 3*p + 62, -2*p - 286 = -5*s + p. What is the remainder when s is divided by r(-5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -12*q**4 + 4*q**3 + 2 + 18*q**4 - 8*q**4 - 2*q**2 to the form n + m*q + b*q**3 + u*q**2 + g*q**4 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 + (-11 - -3) + -7 + 81 + 19 + -6?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*o = -24*o + 8*o + 1665122. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) be the third derivative of 4*s**2 + 2\/3*s**3 + 0 + 1\/105*s**7 + 0*s**4 + 0*s + 0*s**5 + 0*s**6. Differentiate h(v) wrt v.\nAnswer: 8*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 147 and 846916?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -u**2 + 16*u + 308. Let z be d(27). Solve 3*b + 15 = 0, -z*t + 14*t + 5*b + 16 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -2 - 2*g + 2*g + 2*g + g. What is the units digit of u(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j*j**(-11))\/j**8*(j**(-1))**(-5\/14))**(1\/15) assuming j is positive.\nAnswer: j**(-247\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = 2*g**3 + 3*g**2 + g + 1. Let x(l) = -5*l**3 + 7*l**2 + 9*l + 3. Determine 2*f(c) - x(c).\nAnswer: 9*c**3 - c**2 - 7*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -d7 (base 14) to base 15\nAnswer: -c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of 993.3 and -26757.\nAnswer: -26577728.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 18912 to the power of 1\/2, to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 873527.1um?\nAnswer: 87.35271","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 7c81 (base 13) to base 3\nAnswer: 220000121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -1 - -6 - (9 + -3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n - 4 = -608*s + 612*s, -5*n + 4*s - 5 = 0. Let f(z) = -4*z**3 + z**2 + 4. Suppose -4*w = -w + 15. Let q(a) = a**3 - 1. Determine n*f(j) + w*q(j).\nAnswer: -j**3 - j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1454160 by 2.\nAnswer: 727080","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -8 - 5 + 10 + 894*f - 4. Is u(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 67882192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = 12*t**4 - 2*t**2 - 7*t. Let o(l) = 59*l**4 - 11*l**2 - 36*l. Let a(k) = -33*i(k) + 6*o(k). Find the second derivative of a(j) wrt j.\nAnswer: -504*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (1 - 3) + 0 + 5. Let t = 110 + -146. Let l = t + 40. Solve -7 = -l*m - j for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 176*y - 157*y - 4949 = -826. Calculate the remainder when 879 is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 11576?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*j**5\/19 + 26*j**4\/19 + 82*j**3\/19 - 46*j**2\/19 - 74*j\/19 + 20\/19 = 0.\nAnswer: -2, -1, 1\/4, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39*f - 441 = 36*f. What is the greatest common divisor of f and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 220310 + -2?\nAnswer: 220303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 41575561 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zpzpzzqzzqqpzqfqzpzz. What is prob of sequence zfqq?\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 341627 is divided by 231?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 10994, 10997, 11002, 11009, 11018?\n\"Answer: r**2 + 10993","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*c + 32 = -48. What is the highest common factor of 395 and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-24)\/(-192) + (-174)\/(-16). Let s(g) = g**3 - 3*g**2 - 1. Let i(y) = 6*y**3 - 16*y**2 - 6. Let u(x) = h*s(x) - 2*i(x). Determine u(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = t + 2. Let v be (-4 + (-8 - -4))*(-2)\/(-4). Give h(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gghhhihnnhh. Give prob of picking 2 n.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -142 - -148. Let r be (-31)\/(1\/h*(-27)\/180). Round r to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -2*x + x**2 + 65 + 0*x**2 + 3*x - 69. Let q be 8\/(-3)*3\/2. Calculate the lowest common multiple of r(q) and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2571 * -523221.\nAnswer: 1345201191","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 57444 + -189 + (-46)\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**(-4\/7)*n*n)\/n)**(2\/9)*n**19\/(n**(1\/2)*n) assuming n is positive.\nAnswer: n**(739\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 1\/55 and -19\/2580?\nAnswer: 28380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-1 - (-2679)\/(-3))\/(4 - (-417)\/(-102)).\nAnswer: 2, 17, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -43257 + 76504. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1994367 by 2.\nAnswer: -1994367\/2","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - 5 = 1. Let w(k) = -11*k**3 - k**2. Calculate the smallest common multiple of w(-1) and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1 + b?\nAnswer: c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w = w - 3. Suppose 0 = -w*t - 3*x - 9, -3*x + 0*x + 3 = -3*t. Let l be (-5)\/t*(-12)\/(-165). Which is the nearest to -1\/2?  (a) -0.2  (b) l  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 39133 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = 2*u**3 + 126*u**2 + 124*u - 3. Let o be g(-62). Sort o, -6, -5 in decreasing order.\nAnswer: o, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*((sqrt(70) - (-2*sqrt(70) + sqrt(70))*-5) + sqrt(70) + (1*-2*sqrt(70) - sqrt(70)) + sqrt(70)))\/(5*(3*sqrt(250) - sqrt(250))*-3).\nAnswer: sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = o**3 + 18*o**2 - 39*o + 22. Suppose 20*d - 15*d = -100. What is the lowest common multiple of l(d) and 6\/(-15) + (-27)\/(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-9)\/2*(-1 - (-5)\/9). Suppose -5*u = s*i - 1263, 3*i = u - 182 - 74. What are the prime factors of u?\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 8374 - 8236. Calculate the least common multiple of 1104 and s.\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 309 minutes before 6:25 AM?\nAnswer: 1:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5 + 4*d**2 + 5 - 6*d**2.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*v - 109990 = 13*v - 4*l, -2*v = 4*l - 43984. What is the ten thousands digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5855 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*t - 3*t + 40. Suppose -5*u + 10 = 3*r, r + t = -2*u + 6*u. Find the second derivative of 2*s**4 + s + r*s**4 - 4*s**4 wrt s.\nAnswer: -24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(72)*-3)\/sqrt(12))\/(sqrt(242) + 5*sqrt(242) + sqrt(242)).\nAnswer: -3*sqrt(3)\/77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (-3)\/4 - (-793)\/(-244)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = 535872*f - 10717506. Calculate h(20).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3067.14 + -0.02364967.\nAnswer: -3067.16364967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 49060046.\nAnswer: 2, 7, 3504289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12129*m**2 - 24273*m**2 + 12138*m**2.\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-77)\/(-231))\/((-2)\/(-30))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*t**2 + 2*t**2 - 5*t**2)*(-2 + 3 + 1) - 2 + 2 - t**2 + (5*t - 3*t - t)*(5*t - 4*t + t) + (-29*t + 9*t - 32*t)*(t + 0*t - 2*t).\nAnswer: 51*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 118, 242, 370, 502?\n\"Answer: 2*i**2 + 118*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 13 - 12.8. Let o be (-202)\/303*(-6)\/(-10). Let j = 19 - 23. Which is the fourth biggest value?  (a) x  (b) j  (c) o  (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 163 + -153. What is the second derivative of 30 + 26 + r + k + 55*k**2 - 93 wrt k?\nAnswer: 110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (d - d + 2*d**3)*(2575 - 54*d - 2575).\nAnswer: -108*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.3  (b) -20  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -7255, -7248, -7237, -7222, -7203, -7180, -7153?\nAnswer: -7122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 131360869 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -x**2 - 7*x - 1. Calculate n(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + sqrt(12)\/sqrt(6) + 2 - ((sqrt(54)\/sqrt(3))\/sqrt(9) + sqrt(16)\/(sqrt(8)*2)).\nAnswer: -1 - sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 5 - 2 + (1 - 1 + 1)*(-3 - 2 + 1))*(10*u**2 - 72*u**2 + 6*u**2).\nAnswer: 56*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = 9*g + 95. Let z be y(-10). Let a = -1 - -4. Suppose 4*u - z*u + 81 = 4*s, -a*s - 60 = -u. List the prime factors of u.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*v + 8*v + 5*a - 208, 5*v - 574 = a. 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: Simplify (-2 + sqrt(1300))**2 - (-1 + sqrt(468))**2.\nAnswer: -28*sqrt(13) + 835","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 7055602*i*l*y**3 - 962571503*i*l*y**2 - 2*i*y**2 - i*y + 5*l*y**3 wrt y?\nAnswer: 42333612*i*l + 30*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in g**3 - g**3 - 3*g**3 + 9*g**3.\nAnswer: 6*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b = 3*b - 50. Let v be (16\/(-20))\/((-2)\/b). Suppose -4*s + 8*s + p - 58 = 0, -5*p - v = 0. List the prime factors of s.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 11008 by 6.\nAnswer: 5504\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.18 - 1.82. Let i = -53 + 53.2. What is the closest to -2\/3 in h, -1\/2, i?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1311709 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 665 + 3050335?\nAnswer: 3051222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -660 - -1254. Is 8 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + 3*f - 24 = 0. Let t(n) = -f*n - 5*n + 3*n + 9. Let c(s) = 23*s - 26. Let u(q) = -6*c(q) - 17*t(q). Determine u(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(-5*-2*sqrt(784))\/(sqrt(72)\/(sqrt(36)\/(sqrt(12)\/sqrt(3)))).\nAnswer: -350*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) be the second derivative of -5*w**3\/6 + 21*w**2\/2 - 7*w. Let h(l) = l - 5. Calculate 9*h(v) + 2*u(v).\nAnswer: -v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of (2 + -1)\/(204\/40 - 5) and 73?\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 83833 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -67*k**2 + 107*k**3 + 69*k**2 - 508*k**3.\nAnswer: -401*k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*o + o - 9*o + (3 - 8 - 6)*(5*o - 3*o - o) to the form p*o + g and give p.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(208) - (3*sqrt(208) - sqrt(208)))\/sqrt(4) + 1 + 1)*-6.\nAnswer: -12 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 22078336.4 times 4?\nAnswer: 88313345.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -1 - 12\/(-2*2). Let y(w) = -w + 0*w**2 + o*w + 2*w**2 + 0*w. Calculate y(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + 2 - (-18 + 7 + 21).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 99813 divided by -6.\nAnswer: -33271\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 5\/2, 0.11, 4, -3?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 80.08 - 80. Which is the closest to g?  (a) 5  (b) -5  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -3 - 136654?\nAnswer: -136660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 107 minutes after 9:51 AM?\nAnswer: 11:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 8535696*j**4 - 10564361*j wrt j.\nAnswer: 102428352*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -56 + (0 + 16 - (-16 + (-13 - -33))).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (x**3 + 2*x**3 - 14*x**3)*(3 - 3 + 3)*(278*x**2 - 568*x**2 + 328*x**2) - 3*x**5 + x**5 + 5*x**5 + (5*x**2 - 3*x**2 - x**2)*(-2*x**3 + 0*x**3 + 0*x**3).\nAnswer: -1253*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 14632287 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 2, t: 1, l: 3, e: 3, i: 5, x: 1}. What is prob of picking 2 p and 1 i?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) be the second derivative of s**7\/504 + 37*s**4\/12 - s**2\/2 + 2*s + 12. Let u(o) be the third derivative of w(o). Let x(g) = 31*g. Determine u(x(r)).\nAnswer: 4805*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2088 and 216?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2 - -1. Let v(b) = -2*b**3 + 0*b + 4*b + b**h + 5*b**2. Let r be v(5). Solve -2*j - 2*j = -r for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 29 - 13. Suppose 40 = -k*h + 21*h. Let -h*o**2 - o + 0*o - 11*o**2 + 20*o**2 = 0. What is o?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -2\/3, 1\/33, -1\/4, 7?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1047.2 minus 4264223.154?\nAnswer: -4263175.954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -299 divided by -23.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 16045 (base 7) to base 4\nAnswer: 1012030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -14*p - 2. Let d be s(1). Let t = d + 23. Let g(f) = 3*f - 5. Calculate the remainder when 30 is divided by g(t).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -a**2 - 2*a - 1. Let y = 245 - 247. What is v(y)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -7*s. Let n(r) = r. Let w(y) = -6*n(y) - v(y). Let p(m) = -36*m. Calculate w(p(l)).\nAnswer: -36*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2627598?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*d**3 - 45*d**2 + 75*d - 35.\nAnswer: 5*(d - 7)*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/9 in 2\/5, -1005, 2\/23, -2, -0.08?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 30 + -92 + 89 + (-1 - 1)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 310*b**2*s**4 - b**2*s + 673*b**2 wrt s?\nAnswer: 1240*b**2*s**3 - b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3760687 = 23*x + 3758341 for x.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, -6\/235, -0.3, -7 in ascending order.\nAnswer: -7, -0.3, -0.1, -6\/235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 0  (b) 3  (c) -1.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 282 - 214. Let a be (5\/20)\/((-5)\/(-100)*5). Is d less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -30 - -31. Suppose n = u - 44. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -55*k**3 + 7*k**2 - 40*k**2 + 14*k**3 - 8*k**2 + 14*k**3 + 12*k**3 + 14*k**3.\nAnswer: -k**3 - 41*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1831 + -1832.5. What is the nearest to 0.1 in n, -1, 0.05, 3?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -108, -367, -804, -1419, -2212, -3183, -4332?\n\"Answer: -89*p**2 + 8*p - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 5*b - 11. Suppose -y + 5*s = 2, 20 = 2*y + 3*y + 5*s. Let h = b - y. Solve h = c + c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 96160.77 litres?\nAnswer: 96160770","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -2, -1\/77, 5\/2, -44\/17?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 8\/217 and 61\/35?\nAnswer: 1085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t and 2 s when three letters picked without replacement from ttsttttttttttttstt?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -22*u - 1633. Calculate k(-77).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - a**4 + 3)*(-10 + 2 + 20) - 2*a**4 + 2 - 2.\nAnswer: -14*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a = 18 - 78. Let l be (285\/a)\/(1\/18). What is the greatest common factor of l and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4\/19?  (a) 3\/10  (b) 2.3  (c) -4  (d) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*w - 2*i + 339, -2*w - 3*w - i - 348 = 0. Let g = -49 - w. What is the remainder when g is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 185 = 2*p, z - 4*z = p - 583. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.4, -7, -10\/59 in descending order.\nAnswer: 0.4, -10\/59, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2165\/11 - -197. Which is the third biggest value?  (a) 0.5  (b) o  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*s - 4*s + 7 = 0. Sort -3, s, 34, 5 in decreasing order.\nAnswer: 34, 5, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1\/4  (b) -0.4  (c) -16267\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:06 PM and 2:45 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 36\/11, -2\/3, -1\/3, -1, 46 in increasing order.\nAnswer: -1, -2\/3, -1\/3, 36\/11, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (65\/(-52))\/((-3)\/120). Suppose -c*a = -62*a + 101028. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -h**3 + 9*h**2 + 30*h + 10. Let w be n(11). Let j = 98 - w. Is -10\/7 at most as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*m + 307*i = 304*i - 12, -2*i = -2 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 3 s when four letters picked without replacement from {t: 1, s: 2, w: 1, p: 1, b: 1, a: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -h**2 + 4*h + 2. Let d be v(5). What is the units digit of (-2)\/((-6)\/(d - -6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 - 544\/156 - 2\/(-13)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h, 1 n, and 1 g when three letters picked without replacement from {g: 1, d: 1, n: 2, h: 1, v: 1, p: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + 9*v = 4*v - 50, v = -g. Suppose 2*d + 3*m - 22 = -0*m, -m = 5*d - 42. Let n(s) = d*s + s - s - 7*s. Calculate n(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 12144 and 382904?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 709 minutes after 10:29 AM?\nAnswer: 10:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00001376494 to seven dps.\nAnswer: 0.0000138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 258718*n - 129347*n - 129355*n - 4.\nAnswer: 16*n - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hnhhhhhdhhhhhhhh. What is prob of sequence nh?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**29\/d**24)\/((d\/(d*d**(-5)))\/(d\/d**(-9\/10))) assuming d is positive.\nAnswer: d**(19\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + 0 + -5 + (sqrt(13) + 2 + sqrt(13))*-1)**2 - (-3*(sqrt(13) + sqrt(13) + sqrt(13)*-1)*1 + 6*(0 + sqrt(637) + sqrt(637))).\nAnswer: -45*sqrt(13) + 133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:06 AM and 6:41 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7338892\/330 + 14\/(-210).\nAnswer: 3, 7, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.12520803 take away -359?\nAnswer: 358.87479197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.923624 to 2 dps.\nAnswer: -1.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1440274 and 1122.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -3*t + 19*t - 13 + 1. Let k(q) = -q + 1. Let n(w) = 2*f(w) + 24*k(w). Let l(y) = 2*y. Give l(n(g)).\nAnswer: 16*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = h**3 - 7*h**2 + 12*h - 6. Let p be m(5). Which is the fourth biggest value?  (a) 1  (b) p  (c) -1.2  (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3\/76 + -125\/684. Which is the smallest value?  (a) 1  (b) -0.5  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in -12, -0.4, -0.1, 0.05, -909?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 48 + -125. Let p = t + 115. What is the remainder when 188 is divided by p?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m + 55 = -5*h - 8, m = 3*h + 7. Calculate the smallest common multiple of 108 and m.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 113*u**2 - 113*u**2 - 26*u**3 + (2*u**2 - u**2 - 2*u**2)*(-2*u + 3*u - 3*u) + 0*u**3 + 7*u**3 - 6*u**3 as d*u**3 + g + o*u + z*u**2 and give d.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 456 minutes after 8:19 AM?\nAnswer: 3:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 124314 to the nearest integer?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in fourty-two fifths of a meter?\nAnswer: 840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 3016373268?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5 by 2625.\nAnswer: -1\/525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 34947.82 milligrams in micrograms?\nAnswer: 34947820","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = y - 4*w, -2*y + 4*w + 40 = 3*y. Solve 5*r**2 + r**4 + 0*r**y - 6*r**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 4*l - 10 - 6 = 0, 4*l = 4*w + 4. Sort 5, w, 3\/7 in descending order.\nAnswer: 5, w, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-3432)\/247 + 14 + 165\/57. Let v = -4 + 5. Let f = v + 3. Sort 0.5, 2, u, f in decreasing order.\nAnswer: f, u, 2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -341*j**5 - 5*j**4*t**2 + 12*j**2*t - 1530*t**2 wrt j?\nAnswer: -20460*j**2 - 120*j*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.419 + 21.581. Let o be (16\/(-24) - 0)*(-6)\/(-20). Let j = -0.6 - -1.6. What is the biggest value in j, -5, o, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -46*v + 10 = -0 - 36 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2804592 and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 3 = 21. Is (1 - g)\/(2\/5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.45 - 3.45. Put l, 2, 0, -0.04 in decreasing order.\nAnswer: 2, 0, -0.04, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -78 - 258*y - 107*y**3 + 258*y + 75 as i + d*y**3 + x*y + c*y**2 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 173*n + 16. Let b(t) = -87*t - 9. Calculate -7*b(m) - 4*r(m).\nAnswer: -83*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 2, i: 1}. What is prob of picking 1 i and 1 d?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -725.301 - -725. Round c to 2 decimal places.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*f**5\/9 - 458*f**4 + 95534*f**3 - 37357750*f**2\/9 - 400750000*f\/3 = 0 for f.\nAnswer: -21, 0, 125, 1832","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.13 + -0.144. Let r = 8.605 + -8.62. Let n = r - w. Round n to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.1 + 0. Let n = l - 0.4. Let i = 13 + -8. Which is the third biggest value?  (a) 3  (b) i  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 455, 888, 1261, 1574, 1827, 2020, 2153?\n\"Answer: -30*l**2 + 523*l - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-10)\/40 + (-9)\/(-4). Suppose -17 = -a + 4*c, -3*a = -p*c + 6 - 27. Solve 0 = -5*x - 25 - 0, 4*x = -a*z - 35 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -57*i**4 - 6505*i**2 + 31*i - 7003 wrt i.\nAnswer: -684*i**2 - 13010","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 18092129*d**3*y + 65*d*y + 49*d + 137*y wrt d.\nAnswer: 108552774*d*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*l + 180 + 18. Let h be l\/(-12) + 6\/(-4). Let y be h\/(((-10)\/(-4))\/5). Calculate the greatest common factor of y and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*t**3 + t**4 + 5*t**3 - 2*t**2 + t + 1 + 4*t**2 to n + b*t + s*t**3 + d*t**2 + j*t**4 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16*p**3 - 8*p**3 + 22*p**3 + 1178.\nAnswer: -2*p**3 + 1178","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1\/(-2*(-28)\/16). Which is the third biggest value?  (a) -0.5  (b) 0.5  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l*l*l*l**9)\/(l\/(l*l*l\/l**11)))**(-17\/5)\/(l*l\/(l*l**(-2\/5))*l**6*l*(l**(-2))**(24\/7)) assuming l is positive.\nAnswer: l**(-411\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 144\/64 + -3 - (-2)\/(-3 + 5). Let z = 0.8 - 1.1. Which is the third smallest value?  (a) z  (b) 1\/36  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -25\/396 and 83\/1848.\nAnswer: 5544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/(4\/(-3)))\/12?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 804 - 424. Let v be k\/(-456)*(-18)\/40. What is the third smallest value in v, 1, 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17794 is divided by 26?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-11 - -11) + (40 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 7*x**2 + 7*x + 1. Let m = 151 + -477. Let y = m - -362. What is the remainder when z(-5) is divided by y?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of ((-3452)\/(-18))\/((-121)\/(-1089))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*sqrt(68)\/(-2*sqrt(484)).\nAnswer: 3*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 291 divide 8563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = d**2 - 9*d - 3. Let q be x(9). Let n be q\/5 + 246\/10. What is the greatest common factor of 16 and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -2*y + 42. Let o be n(27). Let g = o + 16. Solve 0 = -2*z - 2 + g for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) be the first derivative of y**7\/70 - 7*y**6\/90 + 2*y**4\/3 + 4*y**3\/3 + 43. Let t(i) be the third derivative of v(i). Solve t(l) = 0.\nAnswer: -2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 58843 is divided by 9805.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o - 1296 + 406 = 5*o. Suppose -6*m + 392 = -4*m. Let v = m + o. List the prime factors of v.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -163\/35 + 27\/7. Let w = 0.068 - -0.032. Sort s, w, -4 in descending order.\nAnswer: w, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x + 6 = 5*x. Let h(p) = -5*p + 1. Determine h(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 450*i = 458*i - 64 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 3 - (-6 + (13 - 2))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 11*y - 15*y + 5*x + 24, -4*x - 20 = -4*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 3*s = -2*g + 15, 0 = -4*g - 12. Suppose -2*q = 2*i - 3*i - 17, -2*q = 3*i - s. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 309611473 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 154 at least 1087\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (7\/12)\/((-2)\/16). What is the biggest value in 4, 0.02, 2, v?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y = 5*w - 18, -6*w + 2*w - 2*y = -6. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3895*a**3 + 963*a**2 + 1?\nAnswer: 23370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 34588?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 48267, 193065, 434395, 772257, 1206651, 1737577, 2365035?\nAnswer: 3089025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g + 101 = -5*m, 0 = 4*m - 0*m + 3*g + 82. Let r = m - -27. What is the smallest common multiple of 9 and r?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4658.\nAnswer: 2, 17, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -963 + 489 + 471 - 132*w.\nAnswer: -132*w - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 874119 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 9 and 2601?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find v, given that -v**3 + 251*v**2 + 18905*v - 5821347 = 0.\nAnswer: -147, 199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3409 and 1394281.\nAnswer: 1394281","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:40 PM and 1:10 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 416031647 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 734.9999990803 - 735. Round b to 7 dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -28957, -28965, -28973, -28981?\n\"Answer: -8*s - 28949","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = z**3 + 7*z**2 - 2*z - 6. Let p be g(-7). Suppose -p*q + 11*q - 1089 = 0. Suppose 0 = -4*f + q + 273. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j = 1 - 6. Let u be (6\/(-15))\/(j\/(-30)). Solve 3*a = 5*z - u + 2, z + a = -6 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 35651 or -37?\nAnswer: 35651","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -109*d - 6 - 407*d - 3 + 3 - 271*d.\nAnswer: -787*d - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -l + 30. Suppose -9 + 26 = 3*d - g, 2*d - g - 10 = 0. Let q be o(d). Suppose 0 = -3*p + 37 + q. Solve 2*y - y + 4*j - p = 0, y + j - 5 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -124be6d (base 15) to base 14\nAnswer: -1a65149","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 143\/143160080 and 83\/6040.\nAnswer: 143160080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*y = -13*y - 25. Solve -y*s = -26 + 6 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -12346043 (base 7) to base 14\nAnswer: -212723","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 6 - (4 + -1)*-11. Suppose -20*x = -b*x + 12787. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/((-12)\/(-27))*(-620)\/(-1364)*-44.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -4*n**2 - 2*n - 4. Suppose 4*x - 3*x + 7 = 0. Let f be 32\/x + (-8)\/(-14). Let j(u) = 5*u + 5 - 2*u + 5*u**2 - u. What is f*t(q) - 3*j(q)?\nAnswer: q**2 + 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -i**3 + 3*i**2 + 3*i + 1. Let j be u(5). Let t = j + 40. Solve t*f + 17 = 3*f - 5*p, 3*p + 19 = -4*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 120041 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/4 + -15 + (-302)\/(-20).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 492282?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 - ((-18 - -2) + 10 + 11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1701164, -3402333, -5103502, -6804671, -8505840, -10207009?\nAnswer: -11908178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 31 - 18. Suppose -5*x = 2*r - 40, -2*x = -4*r + 2*r - 16. What is the remainder when y is divided by x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 113045033 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -c**3 - 2*c**2 - 3*c - 1. Let m be j(-2). Find the third derivative of -u**2 - 7*u**m + 3*u**5 + 5*u**2 wrt u.\nAnswer: -240*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1317\/(-63) + 4\/(-42))*4\/6?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s + 42 = o + o, -5*s + 46 = o. Find the third derivative of -3 - 7*p**4 + 22 + 4*p**5 - s - p**2 wrt p.\nAnswer: 240*p**2 - 168*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3 by -8157.\nAnswer: 1\/2719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) 0.254  (b) -1\/2  (c) -0.2  (d) -144\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -1743 (base 12) in base 8?\nAnswer: -5343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -15.17 - -15. Let x = k - 0.83. Put 2\/5, -1\/2, x in ascending order.\nAnswer: x, -1\/2, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 67 - 66.997. Round b to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -z**2. Let q(s) = s. Let f(h) = 12*h. Let k(o) = -f(o) + 5*q(o). Let m(r) = r. Let v(i) = k(i) + 6*m(i). Give v(j(t)).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -49 - -74. Suppose -5*s + b = -45. Let m = -9 - -21. What is the lowest common multiple of m and s?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 265237 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 243 minutes after 3:01 PM?\nAnswer: 7:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(sqrt(104)*-2*-3 + sqrt(104))\/sqrt(2).\nAnswer: 70*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2)\/(-5)*(-9 - 1). Does 17 divide 73\/2 + 6\/q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7080 = -v + 2*o, 5*v + 0*o + o = 35367. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:48 AM and 11:57 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -293, -376, -447, -500, -529, -528, -491?\n\"Answer: v**3 - 90*v - 204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 421 minutes before 6:31 PM?\nAnswer: 11:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 121382721?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 13*p - 155. Let j be o(12). Let k(c) = -1. Let u(v) = 5*v + 2. Give j*u(h) + 3*k(h).\nAnswer: 5*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 6, -174, -692, -1716, -3414, -5954, -9504, -14232?\nAnswer: -20306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 4 and 6638.\nAnswer: 13276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 22707172 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - 3*a = 16, 4*m + 0*a - 2*a = 12. Let j(r) = -126004*r + 4. Let n be j(m). What is n rounded to the nearest 10000?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*i + 3 - 3 + 21*i.\nAnswer: 13*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -89 + 0?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3125, 6232, 9331, 12416, 15481, 18520?\nAnswer: 21527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-39)\/(-819))\/((-3)\/18)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -17*l**2. Suppose -7*r + 82 = 61. Let z(b) = 168 + 168 + r*b**2 - 336. Determine p(z(o)).\nAnswer: -153*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-56)\/448)\/(12\/(-1248)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence od when two letters picked without replacement from oscusoukuuussds?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2633 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b + 8*b = 12. Suppose -b*p + 6 = 4*j, -6 = -p - 2*p + 5*j. Suppose -9 = -p*h - 1. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -136, -475, -1234, -2623, -4852?\nAnswer: -8131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o - 94 - 1620 = -3*h, 5*o - 2101 = 17*h. What is the least common multiple of o and 3?\nAnswer: 1281","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 189971274 to the nearest integer?\nAnswer: 575","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -h**3 - 11*h**2 + 3*h - 18. Let k be y(-11). Let t = 54 + k. Solve t = 3*x - 4*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 1347*o + 1837*o + 352*o - 1211*o as q + w*o and give w.\nAnswer: 2325","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor -b**2\/5 + 1256*b\/5 + 2516\/5.\nAnswer: -(b - 1258)*(b + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 596633 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) be the second derivative of -s**3\/2 - s**2 + 3*s. Suppose 29 - 5 = 2*i. Calculate the lowest common multiple of k(-2) and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-289)\/(-6) + (-3)\/18. Let w = c + -42. Calculate the lowest common multiple of 20 and w.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -762, -792, -846, -936, -1074, -1272, -1542?\n\"Answer: -2*u**3 - 16*u - 744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*f + 4*f - 3*f)*(-10*f + 4*f - 2*f) + (0*f + 3*f - 2*f)*(-2 + 2 + f) to a + o*f + s*f**2 and give s.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 - -2 - (-5 - -5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 (base 13) in base 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-1\/8)*(f**(-6)*f)\/f)\/(f**0)**7 assuming f is positive.\nAnswer: f**(-49\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i - k + 12 = 0, 7*i - 3*i + 5*k + 4 = 0. Suppose -i*s + s = -36. What is the lowest common multiple of 22 and s?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 437 and 3956?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(1\/2))**(2\/55)*(h**(2\/7)*h)**(-5\/8)*(h**(6\/5)\/((h**(5\/3)\/h)\/h))\/(h\/(h**(-3)*h)*h*h**1\/h) assuming h is positive.\nAnswer: h**(-30049\/9240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c*c*c*c**(-3\/26)*c*c)\/((c\/(c*c**(-39)\/c))\/c*c))\/(((c*c*c*(c\/(c*c**32*c))\/c*c)\/c)\/(c*(c*c**(-2\/61))\/c)) assuming c is positive.\nAnswer: c**(-4993\/1586)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) be the first derivative of -7*t**4\/16 - 4*t**3\/3 - 11*t**2\/8 - t\/2 - 5. Factor h(s).\nAnswer: -(s + 1)**2*(7*s + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -953, -959, -965?\n\"Answer: -6*d - 947","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -11103101 - -120?\nAnswer: -11102321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u = -5*j - 1761, -13*u - 2*j - 882 = -15*u. Calculate the lowest common multiple of u and 36.\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*g - 4*g - 5*l = -5, -4*l + 27 = -3*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*j - j + 2*j)*(-5606*j**3 + 2*j**2 - j + 5611*j**3 - 10*j**2).\nAnswer: 20*j**4 - 32*j**3 - 4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -814730 divided by -1582.\nAnswer: 515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 5, 3.5, -28, 3\/11, 2\/7, 1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 96, 384, 862, 1530?\nAnswer: 2388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o + 2*z - 7 - 3 = 0, o = -2*z + 1. Suppose -o*c = -2*c + 1910000. What is c rounded to the nearest 100000?\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 121363 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 + 3 = -5*q. Calculate the remainder when (-3)\/(235\/(-110) + (1 - -1)) is divided by (3 - 9)\/(q\/2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8671.356 millilitres in litres?\nAnswer: 8.671356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -1\/6, -4, 5\/3, 3\/239 in decreasing order.\nAnswer: 5, 5\/3, 3\/239, -1\/6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 times -1.785?\nAnswer: 0.1785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -761, -1524, -2287, -3050, -3813?\n\"Answer: -763*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 23.5 - 23.499734. Round q to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 57, 66, 81, 108, 153?\n\"Answer: o**3 - 3*o**2 + 11*o + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -5, 9, 3 in increasing order.\nAnswer: -5, 1, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -10*r + 1. Let u be v(1). Let z = 0 - u. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1940 and 4490324.\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 6*z + 63. Let a be b(-10). Suppose 3*v - 15 = -4*w, -2*w - a*w = 4*v - 19. Solve -4*p = -d + v, 4*d - 4*p = -6*p + 22 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1\/27  (b) 25  (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*x - 3*k - 233 + 155 - 67, -2*x - 2*k = -5*x + 84 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) be the third derivative of -i**6\/120 - i**5\/5 - 5*i**4\/12 + 7*i**3\/3 + i**2. Let u be x(-11). Solve u*g + g - 12 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2880 = -0*a + 8*a. Suppose a = 7*d - 88. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 30\/4 + 2\/4. Suppose u - o = 3, -80 = -5*u - 4*o - 20. Let p be (30\/q)\/(6\/u). Solve 0 = -c + p*i + 3, 3*i + 10 = 5*c - 5 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -317366 equal to -4125772\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9287?\nAnswer: 37, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -r**3 + 9*r**2 - 9*r - 3. Let a be h(7). Let c = a + -14. Suppose c*o = 16*o. Solve -4*v - 13 = -3*s, -6*s + 2*s + 2*v + 14 = o for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 203*o**4 + 2*o**3*r**3 - 2*o + 43*r**3 wrt o?\nAnswer: 2436*o**2 + 12*o*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -28*o**4 + 8*o - o + 25*o**4 wrt o?\nAnswer: -36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 5, b: 3}. Give prob of picking 2 g and 2 b.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -5*r**2. Let m(d) = d**2 - 1. Let h(z) = -3*z**2 + 2. Let i(k) = -5*h(k) - 10*m(k). Calculate i(f(t)).\nAnswer: 125*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-g - 4*g + 3*g)*(-6 + 2*g + 1 + 2) to the form c*g + s*g**2 + t and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = z**2 - 4*z - 2. Let d be f(4). Let b = 9 + d. Let a be 18\/(-4)*(-2 + 0). Solve a = -2*q - m, -2*q - 15 = b*m - 4*m for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.3*-1.512853\nAnswer: 0.4538559","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 4 + 2. What is the tens digit of 4\/(l + -2) - -38?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -38*x**2 + 6. Calculate w(-2).\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 320 + -307. Let u be (x + -14)\/(2\/(3 - -203)). Is -102 bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 251917 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g + 2*p - 549556 + 8490 = 0, g + 3*p = 108221. Suppose -y - g = -5*y. Let i = y - -39947. What is i rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -169 + 253. Suppose -4*m + 4*v = -k, -3*m + 113 = 4*v + 22. Solve 9*q + m = 14*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 410 * 115\nAnswer: 47150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 289 divide 15986324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-15)\/15)\/(2\/6). Put 4, 3, l, 1 in descending order.\nAnswer: 4, 3, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 2*y**2. Suppose 4*b + 18 = -5*z, -50 + 59 = -5*b - 4*z. Let o(a) be the second derivative of 0 + 1\/2*a**2 + 14\/3*a**b - 18*a. Determine o(l(g)).\nAnswer: 56*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r - 3 = -19. Let d = r + -2. Factor t + 1 - 3*t + 0 + t**d.\nAnswer: (t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1713 = 4*g - 35. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 19*l - 4. Let m be b(4). Suppose 3*z - m = -0*z. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 4\/(-22) - (-8575)\/275. What is the units digit of (-122)\/305 + 137*c\/5?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -5*f**3 + f - 1. Let w(o) = -4*o**3 + o - 2. Calculate 3*m(p) - 4*w(p).\nAnswer: p**3 - p + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 - (7 - (6 + (-12 - -7))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13 divided by -18291.\nAnswer: 1\/1407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -r**3 - 5*r**2 + r + 4. Suppose 0 = -5*h + 4*g - 21, 5*h + 30 = g + 6. Let x be d(h). Let o(b) = -9*b + 1. Calculate o(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -33*j**2 - 14*j**2 + 19*j**2 - 7 + 2*j**2 + 7 + (-2*j + 3*j + 0*j)*(-1 - j + 1).\nAnswer: -27*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) be the second derivative of 1\/6*z**3 + 0 - 5\/2*z**2 - 4*z. What is a(4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -912244 = 52*l - 297*l + 350241. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -c**3 - 2*c**2 - 2*c - 2. Let s be u(-2). Suppose 0 = -2*t - 3*t + 5, 5*t = i - s. What is the lowest common multiple of i and 9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 228101*-0.226\nAnswer: -51550.826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 + 10*c + 3*c + 7 + c - 2 in the form m + f*c and give f.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ei when two letters picked without replacement from iiexiix.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = b**2 - b - 5. Let u(m) = -2*m**2 + m + 9. Let a be 6\/(-1*6\/3). Let q be (3 + 3)\/2 - 19. Let x = q + 11. What is a*u(z) + x*p(z)?\nAnswer: z**2 + 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Are 279397040 and 279397040 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 - -16 - (-25 + 60)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -268 - -1364. Is 35 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) be the third derivative of -l**4\/6 - l**3\/3 + 4*l**2. Let b be p(-3). Solve -b = -5*v + 2*y, 0*v - 2*y = -v - 6 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*x - 7*x - 3*x)*(3 + 3 - 4) + (1 - 1 + 3*x)*(15 - 4 + 6) + x + x - 4*x.\nAnswer: 25*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 1.2*2\nAnswer: 2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -2*o**3 - o**2 + 2*o - 1. Let p(d) = -37*d**3 + 4*d**2 + 24*d + 117. Let t(a) = 12*b(a) - p(a). Find the first derivative of t(u) wrt u.\nAnswer: 39*u**2 - 32*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -0*n - 6*n - 2*n - 24 - 8, -c + 1 + 0 = -n + 1 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2100122 - 2212020?\nAnswer: -111121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -x - 16. Give w(-25).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 71 in 0.1, 0.4242, -0.8?\nAnswer: 0.4242","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 605 and 1705?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1221 a factor of 461507475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 0.4, -0.5, 4\/9, -3, -384\/13 in increasing order.\nAnswer: -384\/13, -3, -0.5, 0.4, 4\/9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 104 (base 10) to base 15\nAnswer: 6e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 242723851 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -3*h - 58. Let t be ((-10)\/(-2))\/((-6)\/24). Let a be f(t). Suppose 9*b + 2*l - 271 = 4*b, 4*l = -a*b + 102. Does 4 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1444142 (base 7) in base 15?\nAnswer: 3d0c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1309 - 1316. Let n(f) = f - 8. Let c(w) = -w**2 + 4*w - 25. Determine d*n(h) + 2*c(h).\nAnswer: -2*h**2 + h + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Total of 36557407091 and 0.\nAnswer: 36557407091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 84 divide 5826958?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -198 divided by 66.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -130, 88, 318, 566, 838?\nAnswer: 1140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (7*88\/(-216))\/(21\/18)?\nAnswer: -22\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 51\/5 of a millennium in centuries?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/193 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 14778063 divided by 1\nAnswer: 14778063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -283 + 346. What is the derivative of 106 + 64*f + 89*f - j*f wrt f?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*y - j + 5*j - 16, 22 = 5*y + j. Suppose -y*f + 2*g - 16 = -124, 3*f - 3*g - 87 = 0. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -5893.1049 and 0?\nAnswer: 5893.1049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t = -14*i + 9*i + 1409, 5*i + t - 1417 = 0. What is the remainder when i is divided by 57?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -2981972, -11927789, -26837482, -47711051, -74548496?\n\"Answer: -2981938*o**2 - 3*o - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -63 + 84. Suppose 5*s + t = 8*s. Calculate the lowest common multiple of 2 and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find t such that t**2\/2 - 1607*t + 730484 = 0.\nAnswer: 548, 2666","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -25768451 minus -0.03?\nAnswer: -25768450.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide 178314 by -226.\nAnswer: -789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 - 6) + 30 + -23?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 322 + -483. Let k = -159 - q. Solve g = 4*a + 6, a + k*g + 6 = -0*g for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.6774962943 rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**9*i*i*i\/(i**(-1\/2)\/i))**(1\/5)*i**(-3)\/i**0*(i*(i*i*i*i\/(i**(-5\/4)*i)*i*i)\/i*i)\/i*i*(i**8\/i)\/i assuming i is positive.\nAnswer: i**(259\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = 2*b + 6. Suppose -17*w = -19*w - 2*p, 4*p = -5*w + 5. Let x(t) be the third derivative of t**4\/8 + 7*t**3\/6 + 8*t**2. Determine w*x(f) - 6*k(f).\nAnswer: 3*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = 43*s**2 - 3*s + 11143. Let u(f) = -44*f**2. Determine v(u(l)).\nAnswer: 83248*l**4 + 132*l**2 + 11143","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -312 + 310. Let g(t) = t**3 - t**2 - 3*t + 2. Let n(b) = b**3 - 4*b + 3. Determine v*n(s) + 3*g(s).\nAnswer: s**3 - 3*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -47 + 47.2. Suppose -5*q = -4*g + 4, -2*g - 4 = -2*q - 6*g. What is the nearest to -3\/19 in 1\/3, i, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2147467873 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -68d52 (base 16) in base 11?\nAnswer: -273679","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = 6*n - 40. Let t be -39*(-5 + (-42)\/(-9)). Let l be g(t). Calculate the highest common divisor of l and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r + 5 = z, 3*z + 6 = 4*r + 21. Suppose -n = 3*f - 15, -z*f + n - 3 = -28. Solve 0 = -3*k - 5*m + f, -1 - 11 = 4*k + 2*m for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1279 + -1289. Which is the second biggest value?  (a) -0.2  (b) s  (c) 1\/5  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 15579 + 5734. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 293, 1364, 2437, 3512?\nAnswer: 4589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -23d (base 16) to base 5.\nAnswer: -4243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -127*j + 1762. Calculate c(14).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 3\/4  (b) -8  (c) -3  (d) -61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) be the first derivative of 0*h - 205 - 6\/7*h**2 + 2\/35*h**5 + 3\/7*h**4 - 2\/21*h**3. Factor i(z).\nAnswer: 2*z*(z - 1)*(z + 1)*(z + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2714322 is divided by 100529?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.1279 rounded to one dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1030 in 2\/9, -2, -210, 1\/7, 1\/6?\nAnswer: -210","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 2, z: 2, m: 2, l: 3, u: 1, r: 4}. Give prob of sequence lvm.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) -2  (b) -1\/2  (c) 0.5  (d) 0.16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g + 175 = 4*s, s + 35 = -g + 4*s. Let i = -15 - g. What is the remainder when i is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -1. Let h(s) = -s. Let y(i) = -3*i - 2. Let a(n) = 4*h(n) - y(n). What is a(x) + 3*z(x)?\nAnswer: -x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 3, u: 4}. What is prob of picking 2 u and 1 y?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -158039.5 and 0.096?\nAnswer: -15171.792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1 - 1 - 5*1. Let m(g) be the first derivative of -g**2\/2 + g + 3. Let r(v) = -3*v + 5. Let q(k) = b*m(k) + r(k). Let s(w) = 2*w**2. What is s(q(d))?\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(700)*-2 + 0)*-1.\nAnswer: 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.5 and -9986791446.\nAnswer: -9986791445.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 6062, 23461, 52460, 93059, 145258?\n\"Answer: 5800*f**2 - f + 263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 77 and 33.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11 + -11100000?\nAnswer: -11100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = x + 1. Let z be (-54)\/(-24) - (-2)\/(-8). Suppose j = -j + z. Let b(p) = -2*p - 3. Give j*b(n) + 4*l(n).\nAnswer: 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -5*i + 17. Let l(w) = -w**3 + 8*w**2 - 3*w - 63. Let s be l(6). Let d(r) = r - 4. What is s*d(b) - 2*t(b)?\nAnswer: b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 0.3  (b) 0.4  (c) 3\/7  (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 111 minutes before 7:26 AM?\nAnswer: 5:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.08 times -7?\nAnswer: -0.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2209, 56, -63\/16?\nAnswer: -63\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*x**4\/3 - 148098*x**3 + 296194*x**2 - 444290*x\/3.\nAnswer: 2*x*(x - 222145)*(x - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -175*q + 39 = -178*q. Suppose 0 = -x - 2 - 12. Let m = q - x. Calculate the lowest common multiple of m and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -189, -313, -473, -687, -973, -1349?\nAnswer: -1833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 7*m - 17. Let b(c) = -6*c + 17. Let d(w) = -2*b(w) - 3*z(w). What is the first derivative of d(n) wrt n?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1178 - 18064?\nAnswer: -16775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o - 2*o = 5*s - 25, -4*s + 4*o = 4. What is the second derivative of -7*f + 25*f**2 + f - 23*f**s wrt f?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 4*z**2 + 9*z + 21. Calculate the remainder when c(6) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3770.\nAnswer: 2, 5, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -113007, -112990, -112973, -112956, -112939?\nAnswer: -112922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor k**2\/3 - 554*k\/3 + 7635.\nAnswer: (k - 509)*(k - 45)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1 by 41685.\nAnswer: 1\/41685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*q + 13*q - z + 1332599995, -266519975 = q - 5*z. What is q rounded to the nearest 1000000?\nAnswer: -267000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27 = 3*u + 5*o, -4*u - 5*o = -51 + 15. Suppose 172*f - 8991 = -161*f. Calculate the smallest common multiple of f and u.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -139*d + 144*d + 4*c - 6 = 0, -4*d + 9 = -c for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - 32 = -s, -3*s - 8 = -3*z - 56. Is 309 - (-8)\/s*-5 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 150 divide 19676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(2 + sqrt(1539)) - (sqrt(1539)*-1 + 1) - ((sqrt(1539) - (0 + sqrt(1539))*-6)*3 + -1))**2.\nAnswer: -1836*sqrt(19) + 444807","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 230 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 divided by 53095024.\nAnswer: 3\/53095024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -8 - -10. Let k(c) = -3*c**2 - 2*c + 3. Let v(g) = -9*g**2 - 6*g + 8. Let n(a) = 8*k(a) - 3*v(a). What is the units digit of n(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = 5*n - 13. Suppose 0 = 4*g - 2*c - 16, 4*c + 0 = g - 4. Let l be -3*(-4)\/6 + 1. Solve -n*x + 3 = -l*z, 3*z + g*x - 15 - 9 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t - 89 + 73 = 0, 67042 = 3*l + 4*t. What are the prime factors of l?\nAnswer: 2, 7, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*l - 443 + l + 2*l**2 - l.\nAnswer: 2*l**2 + 3*l - 443","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -97 - -647. Suppose 6*f - 558 = f - 3*l, -5*f + z = -5*l. Is 18 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 343 > 342?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*h - 188178 = -27*h. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 105390 and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17*h - h + 16*h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.1, 24.3, 3?\nAnswer: 24.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 397925 and 880.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -7*p**2. Suppose l - 255 = -c, -3*c + c + 518 = 4*l. Let q(n) = -2*n**2 + c*n - 251*n. What is f(q(s))?\nAnswer: -28*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -73 times 36?\nAnswer: -2628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -2*b + 74530. Let p(z) = 138*z. Calculate i(p(n)).\nAnswer: -276*n + 74530","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1336)\/6012)\/((-4)\/63).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -3*w + 3*k, 0 = 5*w + 2*k - 16 - 7. Let u = w + -1. Solve 0 = h + 3*a - 7, a - 3 = -u*h + 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1923 + 1942. Let q = 11 + -30. Let r = q + g. Put r, 3, -2\/5 in decreasing order.\nAnswer: 3, r, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 3*x + 2. Let b = 79 + -84. Let z(v) = -7*v - 5. Let m(o) = b*y(o) - 2*z(o). Let i(j) = -13*j. Give m(i(w)).\nAnswer: 13*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1054*h + 11410 + 13997 = -103*h - 56740 for h.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 319*k = 329*k. Suppose -47*s + 56*s - 468 = k. What is the highest common factor of 91 and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -t**2 + 26*t - 21. What is the remainder when q(22) is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 685 minutes before 3:50 PM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) be the third derivative of a**4\/24 + 10*a**3\/3 - 17*a**2. Let m be y(-6). Suppose -5*d - 522 = -m*d. What are the prime factors of d?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -33*m + 1421. Calculate q(43).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3 - 3.05. Let n = -4.95 + v. Let i be -2 + -2 + 3 + -2. Sort 2\/3, i, n in ascending order.\nAnswer: n, i, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = b**2 + b - 1. Let o(v) = 12*v**2 + 3*v - 3. Let x(z) = -4*i(z) + o(z). Let m(a) = -9*a**2 + a - 1. What is 5*m(k) + 6*x(k)?\nAnswer: 3*k**2 - k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -428*r + 14737856 = 108*r. Is r a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 169\/187 or 1?\nAnswer: 169\/187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 3*l + 2*l + 5 = 0, 0 = -3*l + 15. Suppose 6 + g = 3*t. Differentiate t*k**3 - 4*k**4 - 2*k**3 + k**4 - 3 wrt k.\nAnswer: -12*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -h**3 - 86*h**2 + 651*h.\nAnswer: -h*(h - 7)*(h + 93)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-n**3 - 2*n**3 + n**3)*(-6166*n + 2395*n + 1776*n) + (-3 + 2*n**2 + 3)*(-3*n**2 + 6*n**2 - 2*n**2).\nAnswer: 3992*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 14302341 (base 7) to base 9.\nAnswer: 2470513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -76 minus -519657212.6?\nAnswer: 519657136.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 308267?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((1 - 1 - 2*g)*(2*g**3 - 3*g**3 - 2*g**3) + 2*g**4 - 6*g**4 + g**4 + g**3 + 2*g**4 - g**3)*(-4 - 2 + 2).\nAnswer: -20*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2 take away -0.3959?\nAnswer: 0.5959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*j - 4535*p + 4539*p = 31, 5*j - 4*p + 1 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) be the first derivative of k**4\/4 - 3*k**3 + 3*k**2\/2 - 12*k + 4. Calculate the remainder when 58 is divided by v(9).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*t = p - 19, -t - 1908*p = -1909*p - 9 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -127\/6160 and -2\/1463.\nAnswer: 117040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w = -2*x - 19, -2*w + x + 8 = -w. What is the common denominator of 927\/130 - 21\/w and 29\/22?\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -5, -19, -33, -47?\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of ((-32)\/5)\/((-4)\/30)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -2*k - 6 - 11 + 0 + 2. Let r(i) = 14*i**2 + 8*i. Let d(b) = 17*b**2 + 10*b. Let n(z) = 4*d(z) - 5*r(z). Give n(y(o)).\nAnswer: -8*o**2 - 120*o - 450","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**6\/r**(-1\/3))**(-2\/125) assuming r is positive.\nAnswer: r**(-38\/375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -2\/5, 5, 41, 1?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 98*p - 9. Let s(j) = 98*j - 13. Determine -4*l(f) + 3*s(f).\nAnswer: -98*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 40 + -24 + 7 + 20?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 + 0 - 3*k)*(-k + k + 122*k**3 - 166*k**3) as y + j*k**2 + a*k**4 + t*k + g*k**3 and give a.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4.565?  (a) 2  (b) 27  (c) -112\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 989484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 81*(-7)\/(-966) - (-8)\/(-92)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve z - 11*q = 13 - 11, -z + 2*q = -2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**5*c*c**(-22) assuming c is positive.\nAnswer: c**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -14*36\/630*-5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 27 (base 13) in base 14?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 76 minutes before 5:29 AM?\nAnswer: 4:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i + 3*f = 67 + 119, 4*f = 2*i - 136. Calculate the greatest common divisor of i and 320.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -11 + -2120?\nAnswer: -2201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-25 + 55 + -32)\/((-4)\/(-22))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3875869 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in one quarter of a millimeter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4720?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express -77*a - 76*a + 53*a as v + d*a and give d.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 divided by -63020?\nAnswer: 1\/31510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}