{"text":"Question: Solve -b = 3*j - 5, -14 = -22*b + 24*b - 2*j for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 27*f**3*y + 603*f**3 + 3889*f + 36522*y**2 wrt y?\nAnswer: 27*f**3 + 73044*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -27 - -15. Let j(m) = -m**3 - 13*m**2 - 16*m + 8. What are the prime factors of j(q)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - r - 7 = -1, 3*r + 11 = -4*t. Let d = -0.1 - -0.1. Let u = 1 + d. Are u and t unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2\/2523 + 58013\/20184. Suppose -2*b - b = 15, 12795 = 5*x - 2*b. Let d = -15307\/6 + x. Calculate the common denominator of s and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -r**3 + 7*r**2 - 7*r + 2. Suppose 84 = 2*y - 4*q, 6*q + 222 = 5*y + 2*q. Let f = 52 - y. Determine d(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 223270 divided by -830\nAnswer: -269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2737)\/3381 + 5\/35 - (-122)\/156?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 60\/10 - 2\/(1 + 0). Suppose -f*h + 84 = 5*m, 2*h + m + 3*m - 48 = 0. Calculate the remainder when h is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2225844378?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = f + 55 - 57, n - 3*f = 6966. What is n rounded to the nearest one hundred?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = 2*h**2 + 4*h + 2. Let j be u(-1). Suppose r + 3 - 19 = 0. Let i = r - -4. Solve -w + 5*w + i = j for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 759*b**2*f**2 - 68*b**2*f*y**3 - 10*b**2*y**3 + f**2*y**3 + 2*f**2*y**2 wrt y.\nAnswer: -408*b**2*f - 60*b**2 + 6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = r, -u - 4*r = -2*u - 270. Let z = u - -542. List the prime factors of (2\/(8\/z*-1))\/(-1).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1  (b) 0.3  (c) -2\/3  (d) -0.2198  (e) 4  (f) -71\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nt when two letters picked without replacement from {n: 3, t: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t = t. Solve 3*x = 2*a - 16, t*a = -3*a + 15 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 154*o - 162*o + 64 = 0 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) be the third derivative of -v**5\/60 - v**4\/4 - v**3\/3 + 8*v**2. Suppose 6 = 2*c + c. Suppose 0*h + 5*k = 4*h + 27, 4*h + c*k = -6. Give g(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 81 a factor of 267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 45*c + 927 - 412 - 26*c + 60*c - 399.\nAnswer: 79*c + 116","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 158\/4*(2 + 4). Suppose 0 = 4*p - j + 5. What is the common denominator of 34\/5 and (4\/28)\/(2\/p)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand x**4 + 3*x - 3*x + 4 + 2*x**4 - 4 + (0*x**3 - 4*x**3 + 3*x**3)*(0*x - x + 0*x) + 3*x**4 - 2*x**4 + 2*x**4.\nAnswer: 7*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -f**3 + 10*f**2 + 11*f - 12. What is q(11)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*sqrt(63)\/sqrt(9) - -2*(sqrt(28)\/sqrt(4) + sqrt(7))**2.\nAnswer: -5*sqrt(7) + 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-two fifths of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) be the third derivative of w**4\/8 - 2*w**2. Let p be x(1). Factor -2*z**p - z**4 - 3*z**4 - 2*z**5 + 0*z**3.\nAnswer: -2*z**3*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3 + 1. Find the third derivative of 0*r**4 + 4*r**2 - 2*r**u + 2*r**4 - 4*r**5 wrt r.\nAnswer: -240*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -29175.8 + 29176. Let r = -3 + -1. What is the closest to -6\/13 in r, -1, u, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 35.11666 - 13181848\nAnswer: -13181812.88334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 133 + -131. Let i be x\/(-2) - (-239)\/1. Let w = -97 + i. List the prime factors of w.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -d + 2*q + 1, -d + 0 = -q - 2. What is the second smallest value in d, 4, 0.52?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -73155\/4 - -18289. Sort 4\/7, -0.3, 1\/12, a, 3\/4 in ascending order.\nAnswer: -0.3, 1\/12, a, 4\/7, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 260 minutes before 5:44 PM?\nAnswer: 1:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 155 and 16697871?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 30454248 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -56380700 rounded to the nearest 100000?\nAnswer: -56400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 39175 and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 71 = 2*r, 63 + 62 = 5*r - 3*y. Is (48\/r - 2) + 594594\/98 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 6614 - 6614. Let a(z) be the third derivative of 3\/2*z**3 + 1\/24*z**4 + 0 + g*z - z**2. Calculate a(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -u**2. Let c = 62 + -63. Let k(x) = 40*x - 80. Let g(i) = c*k(i) - 5*v(i). Factor g(q).\nAnswer: 5*(q - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 3, -9.2, 1\/11, 1\/3, -2\/7?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Add together 1431 and 0.41370325.\nAnswer: 1431.41370325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4 - -1. Let u = 180 - 179.8. Sort i, -5, u.\nAnswer: -5, u, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 8 + -3. Suppose 4*t - 98 = -2*z, -4*z = -z - x*t - 103. Suppose 4*f = -2*m + 58, 3*f + m - z = -0*f. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1.506821 + -1.59682. Let c = -0.09 - b. What is c rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mpmgmkgggmkmgmggpmg. Give prob of sequence mp.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l - 6 = -0*l. Let h(q) = -q**2 - 3*q + 1. What is h(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 2201535, 4403104, 6604671, 8806236, 11007799, 13209360, 15410919?\n\"Answer: -h**2 + 2201572*h - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -16*f + 6. List the prime factors of t(-5).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -24*g + 99. Let t be f(2). Is 76 smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/7)\/((-7)\/((-245)\/45))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -2*q**3 + 172*q**2 - 2046*q + 2241. Determine s(72).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -13393\/6 - -2256. Let z = -8\/551 - 24707\/6061. What is the common denominator of y and z?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q\/(q\/q**1))**(-2\/7)*q\/(q*q*q\/(q*q*q*q*q**(-10)*q))*(q*((q*q\/q**(-6)*q)\/q)\/q*q)\/q*q assuming q is positive.\nAnswer: q**(10\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 8 - 73?\nAnswer: -6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) be the second derivative of 2*o**2 + 1\/3*o**3 + 0 - o + 1\/20*o**5 + 1\/3*o**4. Calculate g(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(90)\/sqrt(5) + sqrt(18))\/sqrt(3))\/(-3*sqrt(72)).\nAnswer: -sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y = 5*m - 125, -y - 38 = -3*m + 35. Suppose 3*l - 25 = z, 0 = 2*l + 2*l + z - 24. What is the remainder when m is divided by l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 134999.\nAnswer: 134999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*u - 12 = -o, -17 - 3 = 5*o - 5*u for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3492?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-12)\/(-14))\/(78\/(-182))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4231427710.\nAnswer: 2, 5, 423142771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 4 and 142?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = w**3 - 22*w**2 - 102*w - 45. What are the prime factors of r(28)?\nAnswer: 3, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cxccx. Give prob of picking 2 x.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -170e (base 16) to base 15\nAnswer: -1b37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = 2*j - 1. Let a be p(2). Let l(u) = -u - 4. Suppose 3*h - 2*h = 2. Let n(r) = -r + 5*r + 9 - h*r. Calculate a*n(d) + 7*l(d).\nAnswer: -d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1825*j - 1820*j - 70 = 0 for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o - 1638 = -u, -6*u + 3*o + 6437 = -2*u. Suppose 2*n = 3293 + u. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2000*o - 1994*o + 12 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 1980900 to the nearest one hundred thousand.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (-21 - -11 - -1) + 23\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -4.354 - -10.147. What is b rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -2*x**3 + 5*x**2 - 3*x + 4. Calculate d(3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve n - 10 = 2*u, u + 17 = 3*n + 12 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 445\/309 equal to 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1690301 is divided by 86?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = 54725 - 42*a + 3*a**2 - 54838 + a. Give q(16).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1556 + 1579. Solve -3*v = -2*p - u, -5*p - 36 = -2*v - 6 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 631 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = q + 134. Calculate the remainder when 788 is divided by b(-2).\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.1 and -596.88.\nAnswer: 59.688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1359.23 and -0.19?\nAnswer: 258.2537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n + d + 19 = 0, -20 = -n - 3*n + 2*d. Solve 0 = -2*g - n*g + 5 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 386 times 0.3?\nAnswer: 115.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 4244797 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-14 - -13)\/(2\/28). Let m = -6 - c. Suppose 6 = 11*z - m*z. Solve z = -v + 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-3 - (-1)\/1) + 17. Let y = g - 2. Suppose 0 = 69*v - 10*v - 472. What is the remainder when y is divided by v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (12\/(-20))\/((-39)\/520)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15*j**3 - 13*j**3 + j**3.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*(21\/7 + 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = n + 2. Let a(u) = -u - 2. Let t(v) = -3*a(v) - 4*m(v). Suppose -5*l = -3*l + 2*h - 6, -65 = -5*l + 5*h. Let x be (2*1)\/l + 415\/(-332). Give t(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -167*z - 37380 = -523*z. Calculate the remainder when 163 is divided by z.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -37 minus -9?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 60883 a multiple of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 - (-14 + 13) - (-1 - 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 8 - -1. Suppose 0 = -3*f - 0*f + d, -3*f + 1166 = c. Is c\/2 - 11\/(-22) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 756 and 239139.\nAnswer: 6695892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 231 + -245. Let x(u) = u**3 + 16*u**2 - u - 68. Let a be x(s). Calculate the greatest common factor of a and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -29 = 3*n - 44 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101011 + 101?\nAnswer: 110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5823 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 17\/5, -13, -0.2 in increasing order.\nAnswer: -13, -0.2, 17\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:09 AM and 12:37 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 163027?\nAnswer: 163027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 240 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.9, 6, -5, 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -261473\/27 + 9686. Calculate the common denominator of -67\/48 and d.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hdm when three letters picked without replacement from mhmid.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -36665, -74016, -111367, -148718, -186069?\n\"Answer: -37351*v + 686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*p = -p - 45. Determine y so that 49*y + 2*y**2 + 243 + p*y + y**2 = 0.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 177656599 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -i - 3*n + 7*n - 37 - 18, -99*n = 3*i - 95*n - 59 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h - 4*h = -g + 121, 0 = 3*h - 3*g + 63. Put -1, -2, h in increasing order.\nAnswer: h, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1794 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: How many minutes are there between 5:03 PM and 8:07 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 11*l**2. Let m(j) = -12*j - 5. Suppose 11 = -2*x + 6*x + 3*o, -3*o - 24 = -3*x. Let t(q) = -11*q - 4. Let v(c) = x*t(c) - 4*m(c). Give f(v(r)).\nAnswer: 539*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 7\/2 of a kilometer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 688 is divided by 170?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express -616 - 2*a**3 + 6*a**3 + 3*a**3 + a - 12*a**3 + 7*a**3 as r + y*a**3 + q*a + u*a**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express -6 + 1 - o**4 + 3 + 2*o**2 + 3*o**3 - o**4 - 2 as h*o**3 + w*o**4 + j*o + v*o**2 + l and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*u**4 - 4*u**4 + u**4 + (u**4 + u - u)*(3 + 1 - 6) - 4 + 4 - u**4 + 4 + 5*u**4 - 2 - 7*u**4 + (2*u**2 - 2*u**2 - 2*u**3)*(-341 - 73*u + 341).\nAnswer: 143*u**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 146 - 318. Let f = -170 - s. Which is the closest to f?  (a) -2  (b) -4  (c) -2\/5  (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*a = -4*a + 84. Let g(l) be the third derivative of -l**3 - 1\/120*l**a + 0*l + 0 + 1\/12*l**4 + 1\/12*l**5 + 2*l**2. What is g(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 563*m - 4*m**2 - 5 + 0*m**2 + 5.\nAnswer: -4*m**2 + 563*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -30 - -37. Let p be 37\/7 - 2\/v. Suppose i - a = -0*i + 649, 0 = 3*i + p*a - 1931. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:43 PM and 4:29 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 9\/12 + 30\/(-8). Let k be 48\/18 + (-1)\/g. Let q be k*1 - (1 + 2). Solve q = 6*i - 3*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1420567 (base 11) in base 10?\nAnswer: -2445725","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 137\/9444 and 43\/14166.\nAnswer: 28332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*w + 2*t + 209 + 127, 4*w + 3*t = 651. Suppose -2*y = -3*y + 5*s + 171, 5*s = 4*y - 669. Which is bigger: y or w?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-4)\/1 + 2)\/((-60)\/90). Suppose 6 = c*t, -4*g + 108 = 3*t - 7*t. Are 23 and g non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (21\/(-35))\/(34\/51*36\/(-464)).\nAnswer: 58\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23*b + 3228811 = 3229524 for b.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -3 + 20289d1?\nAnswer: 20289cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 52*p + 1604. Let i be s(-31). Sort 3, i, -7.\nAnswer: i, -7, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 10571\/23724 - 3\/2636. Let -32\/9*t**3 + 16\/9*t**5 + 8\/9*t**2 - w*t**4 + 16\/9*t - 4\/9 = 0. Calculate t.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -15686*p - 42421*p + 13283*p - 49176*p. Let x be n(5). Round x to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -527, -460, -341, -164, 77, 388?\n\"Answer: v**3 + 20*v**2 - 548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 360 - 543*x + 241 + 73 - 184 + 373 wrt x?\nAnswer: -543","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 300 minutes after 3:45 PM?\nAnswer: 8:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 192 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 1 + 3)*(u + 0 + 0) + 7*u - 34 + 34 + (-2 + 3 + 0)*(-u - 8*u + 0*u).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -g**3 + 4*g**2 + 4*g - 3. Let p be i(4). Suppose -18 + 32 = 7*a. Solve a*d - 5*l + 4 = p, -5 = 5*l for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.07 + 3.07. Let k = -4.11 - -0.11. Let y = -0.2149 + 0.3149. What is the nearest to 1\/2 in k, y, f?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**(-2)\/(t*t**(-13)*t)*(t\/t**(2\/17))\/t**1 assuming t is positive.\nAnswer: t**(151\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(114) - sqrt(114)*2) + sqrt(114))*-6 - sqrt(114))\/sqrt(6).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = 7*w + 16. Is v(8) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 4  (b) -0.2  (c) -0.4  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5242*g - 5229*g = 91 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-2*8\/12)\/(2*8\/264). Sort o, 22, 0.\nAnswer: o, 0, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 4, 2\/3, -2, -3, 2\/17?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 0\/(((-12)\/(-16))\/((-159)\/636)). Let m(k) = -k**3 + 3*k**2 - k + 3. Let p be m(3). Solve 4*b + p*b = -j*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5*(2\/(3\/(36\/(-160))))\/((-208)\/(-64))?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 207949?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*l + 0*l - 3*l)*(-l**2 + l**2 + l**3) - 5 - 750*l**4 - 10*l**2 + 39*l**2 + 748*l**4.\nAnswer: -l**4 + 29*l**2 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**2)**(3\/4)\/(v**(-8)*v*v**(-3\/10)) assuming v is positive.\nAnswer: v**(44\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8948 - 2*w + 8948.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -38*n**2 + 13*n**2 + n**3 + 25*n**2.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 50288 and 2800?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -r**3 - 19*r**2 + 19*r - 24. Let f be w(-20). Let a be (-15)\/12 + (f - -7). Factor a*q + 1\/2 + 2*q**2 + 3\/4*q**3.\nAnswer: (q + 1)**2*(3*q + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -292\/209 + 30\/19. What is the nearest to 0.2 in f, 0.5, -0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 5*l**3 + 140*l**2 + 12429*l + 345433865 wrt l.\nAnswer: 15*l**2 + 280*l + 12429","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -2*v. Let q(p) = -14*p. Let g(c) = c. Let w(k) = 8*g(k) + q(k). Let n(s) = -5*s. Let m(i) = 5*n(i) - 4*w(i). Determine h(m(r)).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -20.526345 rounded to one dp?\nAnswer: -20.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*r - 16*w = -20*r - 24, 5*r + 5*w = -9 - 8 + 2 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**(-6)\/p**(-1\/12)*(p**(-5)\/p)\/(p*p*p**(1\/6)) assuming p is positive.\nAnswer: p**(-169\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -176, -31, 228, 613, 1136?\n\"Answer: 2*v**3 + 45*v**2 - 4*v - 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*w**2 - 62251590*w - 62251595.\nAnswer: 5*(w - 12450319)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) 9  (b) 10  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/(-5) - (-4 + (-3)\/5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -16.6 - -15. Let w = 0.01 - 4.61. Let i = p - w. What is the second smallest value in i, 2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = m**2 + m. Let u(o) be the first derivative of o**2\/2 - 11*o + 6. Let n be (2 - 4) + (-20)\/(-2). Let x be u(n). Give g(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2)\/(-1) + (-4 - -5). Suppose t*p + 25 = 8*p. Suppose 0 = p*y - 66 - 49. What is the remainder when y is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2 + -3. Let g = -1 + 3. Which is the third smallest value?  (a) g  (b) f  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32 = 4*k + 12. Suppose -2*y + 183 = 5*q, -k*y + 6*y = -3*q + 109. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -174, -28, 368, 1140, 2414, 4316, 6972, 10508?\n\"Answer: 21*s**3 - s**2 + 2*s - 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (5*(-1 + (sqrt(75)*2 - sqrt(75)) + 1 - ((sqrt(75) - sqrt(75)*1) + -2 - -5*(1 + sqrt(75)))))**2.\nAnswer: 3000*sqrt(3) + 30225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 153 minutes before 10:21 AM?\nAnswer: 7:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d*((d\/(d**13\/d))\/d)\/d)\/d)\/(d*d**(-1\/7)))\/(d*d**36\/d*d**37) assuming d is positive.\nAnswer: d**(-608\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -14416, -28373, -42324, -56263, -70184, -84081, -97948, -111779?\nAnswer: -125568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 5  (b) 1.6  (c) -5  (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2945*v**4 + 2744*v.\nAnswer: 35340*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1 + 278*(4 + (-45)\/10). Which is greater: -139 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -67*c**5*v - 9*c**2*v - c*v - 121*c wrt c?\nAnswer: -1340*c**3*v - 18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3*q**3 - 732*q - 7331 with respect to q.\nAnswer: 9*q**2 - 732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = 2*v + 18. Let k be c(-8). Solve 0 = -2*l + k + 8 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence og when two letters picked without replacement from nfgoffroeoe.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v**5\/11 + 174*v**4\/11 + 754*v**3\/11 - 5358*v**2\/11 + 4428*v\/11 = 0. Calculate v.\nAnswer: -82, -9, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -6 - -11. Suppose r - 100 = -a*f, -2*f - 5*r = -f + 4. Suppose -2*u + 14 = 4, 5*u - 3 = 2*y. Calculate the remainder when f is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -45 - -49. Let y be (0 - t) + -134*2\/(-4). Is 63 < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 220518 divided by -110259?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 71980, 71979, 71978, 71977, 71976, 71975?\nAnswer: 71974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = o + 1. Let b(u) = -4*u - 2. Let h(i) = -b(i) - 3*x(i). Let r be h(7). Calculate the greatest common divisor of r and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 1 z when two letters picked without replacement from {z: 1, r: 1, p: 9, s: 4, q: 1, k: 1}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*n - 39 + 102 = 0. Solve -6*r + r - 2*z = -n, r - 5*z = 18 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -663*x - 21*x**3 - 90*x**2 - 5*x**3 + 12*x**3 + 587*x.\nAnswer: -2*x*(x + 1)*(7*x + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 11 - 7. Suppose 0 = -2*v - k*o + 4, -5*v + 0*o - 2*o = -2. Solve v = 4*p, -p - 4 = 3*j - 7*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -y**2. Let n(r) = r + 3. Let x(w) = 3. Let o(g) = -3*n(g) + 4*x(g). What is h(o(c))?\nAnswer: -9*c**2 + 18*c - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -832, -3347, -7540, -13411?\n\"Answer: -839*a**2 + 2*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -149480.0036 + 149452. Let p = -28 - y. What is p rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -12*j + 275 + 757. Let u = j - 84. What is the second derivative of x**2 + 6*x**u + 1031*x - 1024*x wrt x?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (18*w**2 - 17*w**2 - 29*w**2)*(2*w**2 - w + w + (-3*w**2 + 3*w**2 - 2*w**2)*(-3 + 3 - 2) - w**2 + 0*w**2 - 2*w**2).\nAnswer: -84*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 1, i: 1, v: 1, t: 1, c: 1}. What is prob of sequence tu?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 63 - 57 = -3*q + 3*c, -q - 2 = -5*c for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -5139*v - 919793. Calculate x(-179).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) be the third derivative of s**10\/30240 - s**8\/1344 - s**7\/504 + 5*s**5\/12 + 30*s**2. Let r(d) be the third derivative of z(d). Factor r(w).\nAnswer: 5*w*(w - 2)*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 55 - 55.5. What is the third biggest value in -1, 0.2, m, -0.4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + j + 46 = 0, -j - j - 6 = 0. Let v = l - -55. Let f = 0 + 0. Solve f + v = -3*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 + (17 - (-1 - 10)) + -9\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -18945 + 725?\nAnswer: -18220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (4\/(-20))\/((-72)\/(-20) - 2). What is the nearest to -7\/5 in -1\/5, m, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in 4, -1\/5, -2, -0.4, -89.1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 105 - 233. Let g = 129 + y. Put g, -3, -13 in ascending order.\nAnswer: -13, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u = -5*k + 41, 53*u - 32 = 52*u + 2*k. What is the greatest common divisor of u and 649?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13582 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 8 or 907\/137?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 15*r + 406 - 2146. Calculate the least common multiple of 261 and r.\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4 - 21*r**2 + 101198*r - 80*r**2 - 101198*r to the form d + q*r + m*r**2 and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = 15*q - 12. Let v(p) = -157*p + 126. Let y(t) = 21*f(t) + 2*v(t). Let n be (-3 - -2)*-1 - -2. Let d be (-1 + (-1)\/3)*n. Determine y(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -19\/9 and -67\/154.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gl when two letters picked without replacement from olg.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 35*x + 86. Let i be d(-3). Let b be -4*1 - (-26199985 + i). Round b to the nearest 1000000.\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -4*s**2 - s + 5. Suppose 4*o - 2*z - 30 = 0, 0 = o + 3*z - 4 + 14. Suppose 0*c - o*c = -5. Let n(m) = m**2 - 1. Calculate c*k(d) + 5*n(d).\nAnswer: d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 890 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 594 is divided by 143?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(143) + sqrt(143)*-3)*3)\/(5*-2*sqrt(11)).\nAnswer: 3*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1 - 133302322241?\nAnswer: -133302322242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 7 + -339?\nAnswer: -332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3723 + -3244. What is the remainder when h is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 76375 and 734500?\nAnswer: 34521500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11 + -1 + -16 + 15 + 7 + 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 20077 - -0.067?\nAnswer: 20077.067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g = -u - 22, -5*u + 3 = -4*g - 1. What is the tens digit of 5 + g - 128\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -m**2 - 3*m - 2. Let x be q(-4). Let t be -2 + 12 - (-6)\/x. Suppose -t*z - 11 = -10*z. Is 3 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 13\/60 and 101\/27066?\nAnswer: 270660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k**(-2\/5)*k**46)**(-4\/19))**(23\/4))**(25\/4) assuming k is positive.\nAnswer: k**(-345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 5*m + 0*m + 218 = 0, -48 = -u - 2*m. Calculate the greatest common divisor of u and 208.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*m - 3*m = -4*g - 16, -3*g = -2*m + 7. Let q be 3 - g*(-2)\/6. Let b(z) = -z + 2*z**2 + 2*z**2 - 1 - z**2 - q*z**3. Give b(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 + (-35)\/((-5)\/(-150)*66) + 18 + -8\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1.5, 0.065, 0.18, 18?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -13 - -12.99. Sort -1\/4, 2\/19, z in decreasing order.\nAnswer: 2\/19, z, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 240 and 460.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 68317669.\nAnswer: 7, 43, 263, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -428, -854, -1280, -1706?\n\"Answer: -426*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*a - 4 = -10*a. Let y = 13 + a. What is the second derivative of 3*r**3 - y*r + 26*r - 9*r**3 wrt r?\nAnswer: -36*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 0  (b) -3\/8  (c) -1\/12  (d) 625\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(sqrt(1300) - (sqrt(1300) + 0))*-3)**2 + -3*3*(sqrt(325) - -2*sqrt(325))**2.\nAnswer: -26325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = a - 8 - 2. Are a and 12 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 541 - 501. Suppose 0 = 5*u + 4*i - 0*i - 280, -s = -u - 4*i. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 367681 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 950 = -13312*s + 13350*s for s.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -43543*y - 217388. Calculate m(-5).\nAnswer: 327","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-77)\/(-770))\/((-2)\/(-20)). Sort 1\/8, p, -0.3, 0.06.\nAnswer: -0.3, 0.06, 1\/8, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4, 11, 28, 47, 68, 91, 116?\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -1688, -1693, -1702, -1715?\n\"Answer: -2*c**2 + c - 1687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = 10*g - 5. Let b be m(0). Let f(r) = -4*r**2 + r. Let o be f(1). Is b != o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 7942, 7964, 7986, 8008?\n\"Answer: 22*l + 7920","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2\/7, -584.8, -3, 4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = 1064*g**2 + 1. Let n be b(1). Suppose -16*o + n = -13*o. Suppose 2*m + 673 = 5*y, o = 2*y - 5*m + 69. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10002 (base 3) in base 15?\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(98) - (sqrt(98) + 1 + sqrt(98))*-1) + 5*(sqrt(98) + -1*sqrt(98)))**2 + -4 - 2*(-2 + (sqrt(98) - (5 + sqrt(98) + 3*sqrt(98)))).\nAnswer: 84*sqrt(2) + 893","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 18936 divided by 3156?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 54131\/3 + (56\/30)\/14*-5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 461748209 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) be the second derivative of -i**4\/2 + 5*i**3\/6 + 2*i**2 - i - 7. What is u(-3)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1969664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2090402?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*j + 16 = -2*b, 606*j - 203 = 605*j + 40*b for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from fggfgggggpgfgpfpgggg. What is prob of sequence ggpf?\nAnswer: 26\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 10507027 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = 12*m**3 + 2*m**2 - 7*m + 6. Let t be q(1). Solve -9 = -4*v + t*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 0.1247178 millennia?\nAnswer: 12.47178","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 - (-2 + 2 + 3 + -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24*x - 22*x + 6 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(-5)*c)**(-1\/15)*(c**(-6))**(-49))**(1\/22) assuming c is positive.\nAnswer: c**(2207\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 24 and (-476)\/(-60) + 36\/540?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 53.66384707 - 62.663847. Let m = a + 9. What is m rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (213 - 228) + -10 + 14 + -103.\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) -2  (b) 0.4  (c) -4  (d) 0  (e) 0.37  (f) -9\/20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 6\/8*(-322)\/644\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1274218977.\nAnswer: 3, 139, 433, 7057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11 + 7 + -9 - 13.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 54*d - 59*d - 10 = 0, 4*d + 828 = 5*k. Is -2\/5 > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 7\/((-7)\/4) + -1 + 12. Calculate the lowest common multiple of 4\/t - (-726)\/77 and 45.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*b + b + b)*(0*b**2 + 5*b**2 - 3*b**2)*((-2*b - b + b)*(2 + 2 - 6) + 4*b + b - 4*b + 2*b + 2 - 2) - 345 + 3*b**4 + 345.\nAnswer: 31*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -50287995*o**3 + 236521439*o**2?\nAnswer: -301727970","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 41*c - 408 = 24*c. Let o be (4 - 120\/32)*c. Solve 2*l - o = -12 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 50 - 28. Let d be j\/(-26) + 3 + -2. What is the closest to 0.5 in 4, d, 0.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = 3*s**3 - s**2 + 1. Let j be h(-2). List the prime factors of 2\/(-4) - j\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.385452 and 2.7944.\nAnswer: 2.408948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from sjajsjajaj. Give prob of sequence saj.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -215208045 divided by -1103631?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 58 + -57. Let v = s + 7. What is the lowest common multiple of 14 and v?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qi when two letters picked without replacement from kkkkkkkiqukikuiqkkkk?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 y and 1 k when four letters picked without replacement from {y: 6, k: 4, q: 1}?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 140809153?\nAnswer: 140809153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -102274 = 15*c - 31774. Round c to the nearest one hundred.\nAnswer: -4700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) be the third derivative of -219*v**4\/8 - 67*v**3\/3 + 7*v**2 + 1. Let p be l(-22). Round p to the nearest 1000.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 62\/(-558) + (-4051)\/(-9). Let v be (2\/(-5))\/(5\/(-625)). Calculate the greatest common factor of v and j.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 153 divide 803875311?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - 5*g - 22 = 0, -7*g - 117 = -3*y - 94. Which is the smallest value?  (a) 5  (b) 1\/3  (c) -2\/3  (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 14 + (6\/(-3) - (-1 - -3)). Let m = 0 + 2. Sort m, -5, i, 1 in descending order.\nAnswer: i, m, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1000012 (base 3) to base 15\nAnswer: 33e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-15*v - 2*v - 5*v)*(183*v**4 + 184*v**4 - 363*v**4 + 25*v**2).\nAnswer: -88*v**5 - 550*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w - 299 = -2*d, -59*d = -62*d - 4*w + 423. Let s(b) = 5*b**2 - 6*b + 2. Let t be s(4). Calculate the greatest common divisor of d and t.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 317 minutes before 12:29 PM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put together -1.14 and 33533861.5.\nAnswer: 33533860.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -8 + -7a5a?\nAnswer: -7a67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -92*x**2 + 16*x + 16. Let i(l) = l**2 - l - 1. What is 48*i(w) + 3*r(w)?\nAnswer: -228*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*y\/(y*(y\/((y**(-11)*y)\/y*y))\/y))\/y**(-9)*((y*y**(-3\/5)\/y*y*y)\/y)\/y**(-1\/11) assuming y is positive.\nAnswer: y**(27\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4673, -4642, -4615, -4592?\nAnswer: -4573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 10\/(-245) + 139645440\/3528?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eleeeeelelllelel. What is prob of sequence eel?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = l**2 + 5*l + 15. What is the tens digit of z(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 103.3794079 - 103.38. Round m to 5 dps.\nAnswer: -0.00059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from {x: 3, y: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 0.09 times -33764\nAnswer: -3038.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -9*a**3*b**3*x**2 + 2*a**3*b**2*x**2 + a**2*b**2*x**2 + 4*a*x**2 - 2*a + 8*b**3*x**2 wrt b.\nAnswer: -54*a**3*x**2 + 48*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 2, a: 1, l: 1, g: 2}. What is prob of picking 1 b and 2 g?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3\/(-30)*9\/(-6)*(-776)\/873.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -1*8\/4*(-1)\/11\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1.46873 and 11.8?\nAnswer: -17.331014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10 - (-2 + -10) - (-16 + 13) - -15.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add -9612760 and 1.2495629.\nAnswer: -9612758.7504371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 2105441 (base 7) in base 9?\nAnswer: 426432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s + 2*s + 15 = 0. Let o = s - 3. Let b be 0*(-3)\/(-6) + o. Solve -d + 8 = -5*q, -b*q + 2*d - 5 = -3*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 7\/4 and -31\/777?\nAnswer: 3108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3920 and 234024.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -d**3 - 7*d**2 - d - 3. Let y be z(-7). Suppose -y*n - 32 - 100 = 0. Let a = n + 51. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 13\/(-28) + (-2)\/7. Let t = -465\/2669 + -6\/2669. What is the closest to -1 in -2, t, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -62 divided by -1073280\nAnswer: 31\/536640","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 152169, 152560, 153213, 154128, 155305, 156744?\nAnswer: 158445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -652 divided by -652.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20*f**2 + 406 - 202 - 204.\nAnswer: 20*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6375875 is divided by 35.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*g**3 + 3 + 4*g**3 - 9*g**3 - 7*g**4 + g**4 to x*g**4 + b*g + c*g**3 + s*g**2 + y and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14 = 273*w - 280*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -43*o**2 + 4. Let q(r) = 86*r**2 - 7. Let z(d) = 7*a(d) + 4*q(d). Let v(l) = -2*l. What is v(z(y))?\nAnswer: -86*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = t**2 - t. Let q(x) = -6*x**2 + 4*x**2 + 7*x - 2*x. Let u(n) = 3*q(n) + 12*z(n). What is the second derivative of u(j) wrt j?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bb when two letters picked without replacement from brbftrn?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 40 + (-45 - -10) + 12.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-9)\/(6\/8*-2). Find the first derivative of -h**4 + h**4 + d*h**4 + 0*h**4 + 12 wrt h.\nAnswer: 24*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-26)\/325)\/(2\/(-10))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 39 = 17*z - 30*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express -12 + v + 0*v - 4451*v**3 + 4463*v**3 as m + q*v**3 + s*v**2 + a*v and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1\/5 + (-62)\/10. Let m be 2 + -1 + l\/(-2). Suppose 4*q = 5*n - 2, -5 + 1 = -m*n + 2*q. Solve o - 6 = k, 6 = -5*k + n*o - 15 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*a - 15*a - 5*a**3 - 7*a + 0*a**3 wrt a?\nAnswer: -30*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = t**3 - 20*t**2 - 80*t + 177. What is the hundreds digit of f(39)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 72\/28 + 4\/(-7). Let l be 8\/i + 54\/(-15). What is the nearest to -1 in 3\/4, l, 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2192 - -4253. What is the thousands digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 183 + -214. Let g be 3\/((-66)\/(-4)) - b\/11. Solve g*o - 16 = -o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*x - 2*x + x)*(x - 5*x - 4*x + (-5 + 3 + 1)*(-12 + 9*x + 12) - x + 2*x - 3*x)*(-x - x + 4*x).\nAnswer: -76*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -2255 divided by 451\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -69102 divided by -5.\nAnswer: 69102\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0052542 rounded to 4 decimal places?\nAnswer: 0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*u + 4*x - 0*x + 22, 4*x + 32 = -4*u. Let i = 829\/8 + -104. Let g = -9724 + 9722. Which is the nearest to 0.1?  (a) g  (b) i  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -18798161 + -3?\nAnswer: -18798164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/(-10))\/((-97)\/970)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.1 or -21750?\nAnswer: -21750","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -303*m**2 + 4*m - 12. Let v(u) = -u. Calculate o(v(g)).\nAnswer: -303*g**2 - 4*g - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 110 - 13*y**2 - y + y**4 - 34 - 38 - 36 + 20*y**2 to n*y**3 + a*y**2 + m + s*y**4 + r*y and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -116192, -119838, -123484, -127130?\n\"Answer: -3646*g - 112546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: ((-960)\/(-90) - (7 - -1))*15\/(-20)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -10.936 - -11. Let w = -0.018 + j. Let o = w + -0.109. Round o to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*q - 14 = 4*j, 21*j - 25*j + 21 = -5*q for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (6\/(8 + (-3 - -2)))\/(((-53705)\/(-4830))\/(-467))\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 18 + (-12 - -1) + 29113?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -q - 1. Let r(o) = -4*o**2 - 24*o - 24. Let j(a) = -24*m(a) + r(a). Let f(p) = -12*p**2. Give j(f(c)).\nAnswer: -576*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = 8*j**3 + j**2 - 1. Let n(o) = -o**2 + 6*o + 6. Let x(a) = a**2 - 2. Let t be x(-3). Let h be n(t). What is p(h)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = c + q - 20, -13*c - 3*q + 77 = -9*c. Solve v + c*v - 18 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) -1  (b) 14295  (c) 9  (d) -2\/5  (e) 1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n*n*n**(1\/8))\/n*n)\/(n*n**(-5\/2)))\/(n**5\/n**(2\/11)) assuming n is positive.\nAnswer: n**(-105\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3406 + 5.25925239?\nAnswer: 5.59985239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -6 - -6.4. Let z = -42.1 + 39. Let j = 3 + z. What is the nearest to j in -2, 2\/7, b?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) be the third derivative of 827*f**5\/60 - 2417*f**2. Let l(q) = -7*q. Calculate l(z(o)).\nAnswer: -5789*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 281.94 + -436.3. What is w rounded to the nearest integer?\nAnswer: -154","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:18 PM and 12:34 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 73*b**3 - 31*b**3 + 88*b**3.\nAnswer: 130*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a - 8 = 2*k, -4*a = -2*k - 3*a - 8. Let n = 16 + k. What is the highest common divisor of n and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 76\/120 + (-6)\/45. Let -1\/2*p**4 + 0*p + 1\/2*p**5 - 1\/2*p**3 + 0 + h*p**2 = 0. Calculate p.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -24, 17, 19, -14, -2 in descending order.\nAnswer: 19, 17, -2, -14, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -102, 1, -31, 778 in increasing order.\nAnswer: -102, -31, 1, 778","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 18778418, 18778416, 18778414, 18778412, 18778410, 18778408?\nAnswer: 18778406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 1202210220212 (base 3) to base 9\nAnswer: 1683825","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 149.32*1375.\nAnswer: 205315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2641, -5273, -7907, -10543?\nAnswer: -13181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 190 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.387 and 335.\nAnswer: 334.613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 435259.\nAnswer: 11, 39569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = 2*d**2. Let c(z) be the first derivative of 4*z**4\/3 + 14*z - 45. Let p(x) be the first derivative of c(x). What is p(w(i))?\nAnswer: 64*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 595 and 68068?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express 37 - 560*t + 1126*t - 562*t as w + z*t and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -460871 or -460870?\nAnswer: -460870","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.145082 rounded to 3 decimal places?\nAnswer: 0.145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 611061752?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 8 - 5. Suppose 145*h - 143*h - 97 = -3*o, 2*o - 66 = -2*h. Let n = o - y. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 22 - 44. Which is bigger: 0 or i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 9\/1441 or 1?\nAnswer: 9\/1441","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 22 and 253.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*h + 34*w - 30*w + 15 = 0, 3*w - 6 = 2*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 4, e: 2, r: 1, q: 7, x: 2, k: 1}. What is prob of picking 1 z and 1 k?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/(2\/((-36)\/6*3)*-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1476*q**3*w**5 - 673*q**3*w**2 + q**2*w**2 wrt w.\nAnswer: -88560*q**3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4865040 is divided by 2432296.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 4*k**3 + k**2. Let y be 3\/(((-9)\/(-6))\/1). Is v(y) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -90 - -107. Solve -2*f = n - 7 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 447 divide 24224841?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*f + 30*f = 19318. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i = -2*o + 9, 7*i + 25 = 2*i. Let y = 0 - o. Solve -x - 1 = y for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30 a factor of 104000880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -9558551*d**3 + 6*d**2 + 2186308 wrt d?\nAnswer: -57351306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -5 + 2. Let w = -3 - a. Solve w*y = -y - 4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*j**2 + 5*j + 5 - 35*j - 38*j - 4 - 79*j in the form f*j + s*j**2 + g and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1.44 - 24.74. Let c = -16 - j. What is c rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-144466)\/(-16) + (-24)\/192?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from anglnxflanxlalfaanxn. What is prob of picking 1 a, 1 f, and 1 n?\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -42553211, -42553199, -42553179, -42553151, -42553115?\n\"Answer: 4*l**2 - 42553215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 1, u: 1, h: 3, p: 2, s: 3}. What is prob of sequence uspp?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 174 and 12528?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 6822518.5 - 0.1\nAnswer: 6822518.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -7 + 9. What is the second derivative of 2*b**4 - s*b + b - 7*b**4 + 5*b wrt b?\nAnswer: -60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-25 - -49) + -22 - 30?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/3 in -3, 5, 12\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -8.6 - -9. Which is the closest to 0?  (a) 5\/3  (b) i  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 520?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -31 - -41. Suppose 2*p + k + 0*k = v, 0 = -p - 4*k + 19. Let b = 6 + -4. Is p not equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -17 - 0.3045.\nAnswer: -17.3045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 376 (base 12) to base 16\nAnswer: 20a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1539335501 + 1539335569.99999914. Let u = h + -69. What is u rounded to seven dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -82.92 * 4.9.\nAnswer: -406.308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -8*i + 2. Let f(h) = -h + 1. Let y(c) = -6*f(c) + l(c). Let d be y(-4). Solve -2*m = 3*j + 3*m + 13, -d*j + 26 = -2*m for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 29666 - 29552. Calculate the remainder when 465 is divided by q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 103550930 rounded to the nearest 100000?\nAnswer: 103600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*b**3 + 1134*b**2 + 5255*b wrt b?\nAnswer: 12*b + 2268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 4794 to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 10775543899 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -84 - -88. Suppose 0 = -i*u + 6*u + 134. Let m = u - -127. Calculate the remainder when m is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 902196797.\nAnswer: 359, 2513083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 584 minutes before 8:48 AM?\nAnswer: 11:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 376 minutes before 11:08 PM?\nAnswer: 4:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -97\/9068700 and 59\/31820.\nAnswer: 9068700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 118 divided by 1960760\nAnswer: 59\/980380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, -154, -699.\nAnswer: -699, -154, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g = -0*g + 8. Let n = 6 + g. Suppose 504 - 995 = -8*s - 395. Solve 0*d = 4*b - n*d + 8, -2*b - s = d for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c**4\/2 + 1987*c**3\/4 - 17015*c**2\/4 + 4763*c + 3507 = 0. Calculate c.\nAnswer: -1002, -1\/2, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = w + 29. Let x be v(-8). Suppose 0 = 3*o + 4*o - x. What is the second derivative of -o*p + 4*p + 14*p + 10*p**2 + 2*p**2 wrt p?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 4625 + -37?\nAnswer: 4577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of ((-2403)\/(-18))\/(-46 - -1) and -4\/15?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.5, 108059, -255?\nAnswer: -255","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*f + 14*f + 17*f - 40*f.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor i**2\/4 + 11*i\/4 + 15\/2.\nAnswer: (i + 5)*(i + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -5.31 + 0.31. What is the nearest to 3 in r, -0.4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4256 and 5985.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -25*w**2 + 13*w**2 + 5*w**2.\nAnswer: -7*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - (0 + 1 + 1 + -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3225 + 3231. Let b(m) be the second derivative of m**3\/6 + 3*m**2\/2 + 2*m. Give b(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16 times 0.172?\nAnswer: 2.752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/9 in -64, 194, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: Is 3683 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 804293?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 13882.94 weeks in nanoseconds?\nAnswer: 8396402112000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -27686, 0.4, -0.3, -5, -51?\nAnswer: -27686","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 49282 is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 880\/(-770)*14\/(-4). Solve 5*u - 1 = k, 3*k = d*u - 27 + 24 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m + 28 = 32. Let s(l) = l + 2*l - 4*l - m*l - 2*l. Let o(j) = -15*j**2. What is o(s(i))?\nAnswer: -735*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -w + 1. Let v(f) = -2*f + f + 11 - 5 - 4*f. Suppose 5*m = 4*m - 3. Let l(p) = m*j(p) + v(p). What is the first derivative of l(k) wrt k?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*z + 1 - 2 - 1 + (356*z - 129*z + 290*z)*(-3 - 3 + 4) - 3*z + 0*z + 4*z + (2 - z - 2)*(0 + 1 - 3) to the form n*z + x and give n.\nAnswer: -1029","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -18\/5 in -9, -268, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.6 + -0.2. Let v = k + -4.2. Let r = 2.4 - -2.6. What is the smallest value in v, r, 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (((-1 + sqrt(2448) - (sqrt(34)\/sqrt(2) + sqrt(17) + -3)) + -3 + (sqrt(17) + 0)*-5)*-5)**2.\nAnswer: -250*sqrt(17) + 10652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = f**3 + 12*f**2 - 19*f - 5. Let z be l(-14). Let b = z + 131. Solve b*w - 3 = -3*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -45.7637585 to 1 dp.\nAnswer: -45.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 62 + -40. Suppose q - 64 - n = 0. Let d be q + -3 + 1 + 1. What is the highest common factor of d and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -896, -1838, -2858, -3992, -5276, -6746?\nAnswer: -8438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -22 + (1 - -25) + -19.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -9*j - 16*j**2 - j**3 - 14 - 6*j + 4*j**2. Does 15 divide d(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**11\/(n\/((n*(n\/n**10)\/n)\/n)) assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 19 and 93169?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 285 divide 9265461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -2*c**3 - 4*c**2 - 2*c + 1. Let y be l(-4). Suppose 7*v = 4*p + 2*v - y, -p = -v - 17. Let f = p + 3. Calculate the remainder when f is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1834508 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: Solve 0 = -214*x + 777 + 2861 for x.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 61 != 61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 5.35898 micrograms?\nAnswer: 0.00000000535898","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4466 rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 73, 20, -4, 3, -18, 1, -2 in increasing order.\nAnswer: -18, -4, -2, 1, 3, 20, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 39*t**3 + 753*t**2 + 12960*t + 72972. Let g(h) = -16*h**3 - 301*h**2 - 5184*h - 29189. Let p(b) = -12*g(b) - 5*s(b). Factor p(n).\nAnswer: -3*(n + 16)**2*(n + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 998 - 642. Let d = o + -151. Is d a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*i + 5*i - i + (i - 2*i + 3*i)*(-1 - 4 + 3) - 3*i + 2 - 2 - i - 1 + 1.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4*k**2 + 0*k**2 + 2*k + 2*k**2)*(-3 + 3 + 2*k) as m + g*k**2 + p*k + i*k**3 and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express (4 - 2 + 2)*(-3*m - 8 + 8) as h*m + f and give h.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 1 q when two letters picked without replacement from uhhqqqqhhqqqceqqhe?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -26.6289 rounded to one dp?\nAnswer: -26.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -f**3 + 26*f**2 + 180*f - 2540. What is w(30)?\nAnswer: -740","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3268 - 16344\/5. Sort r, -7, 2\/9, 0.1.\nAnswer: -7, r, 0.1, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*p + 9 = -n, 3*n - n = 2*p - 10 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -16*z - 5. Let j(s) = -209*s - 66. Let a(x) = 5*j(x) - 66*u(x). Let n(l) = -162*l**2 + 73*l**2 + 90*l**2. Determine n(a(r)).\nAnswer: 121*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Total of -58 and 1012032398.\nAnswer: 1012032340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15488\/66 - (-2 - (-24)\/9).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 649541?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/30*5 + (-13)\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lp when two letters picked without replacement from {l: 4, p: 3}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 52184285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -z + 9107 = 9*n + 9108, -4*n - 4*z + 92 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -6 - -1. Let p = -9 - q. Let u be ((-9)\/(-12) - 2) + 1. Sort 0.3, p, u in decreasing order.\nAnswer: 0.3, u, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3, 20, 69, 168, 335, 588, 945, 1424?\nAnswer: 2043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 678 minutes before 9:38 PM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 542 a factor of 11858960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -10521, -10513, -10503, -10491, -10477, -10461, -10443?\n\"Answer: f**2 + 5*f - 10527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c**4\/3 - 266*c**3\/9 - 203*c**2 + 2090*c\/9 = 0. What is c?\nAnswer: -22\/3, 0, 1, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26 = r - 5*c, 19 = 2*r + 5*c - 3. Solve -19 - r = -7*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -13*y - 16 + 29 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 5587824 a multiple of 270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*m**3 - 2*m**3 - m**3)*(44*m + 967 - 967).\nAnswer: 88*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -120\/269?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is f in -9*f**4\/4 + 807*f**3 - 337179*f**2\/4 + 2038527*f + 688905 = 0?\nAnswer: -1\/3, 35, 162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = h**3 + h**2 - h + 1. Let i(b) = -6*b**3 + b**2 - b + 1. Let v = 170 + -169. Determine v*t(o) - i(o).\nAnswer: 7*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*a + a - 3*a - 7*a + 5*a + 19*a + (2*a - 2*a - a)*(-4 + 1 + 2) + 2*a + 0*a + 3*a.\nAnswer: 21*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*t + 4*k - 28, 0 = -4*t - 2*k + 19 + 9. Calculate the greatest common divisor of t and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((((u*u**(-5)*u)\/u)\/u)\/((u**(2\/3)\/u)\/u))\/(u**(-1\/8)*u**6))**10)**(-24) assuming u is positive.\nAnswer: u**2290","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -694 - -82. Let x = -117 - m. Suppose -s - x = -6*s. What is the highest common factor of s and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*j + 3*j = 990. Suppose 85*k = j*k - 6580. Suppose 0*w + c = -w + k, 2*w - 2642 = 3*c. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7979 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l + l = -57. Calculate the least common multiple of 11 and 6\/5*30\/(-9) - l.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1101.8 to the nearest 10.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 11, 87, 207, 365, 555, 771?\nAnswer: 1007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor z**2\/2 + 3959*z\/2 - 13595043.\nAnswer: (z - 3598)*(z + 7557)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*q + 3*u + 21, 29 = -11*q + 2*u - 39 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xg when two letters picked without replacement from wwxoxgqxgxxxxqqoqeqx?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 18827, 76300, 172089, 306194, 478615, 689352, 938405?\nAnswer: 1225774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:06 AM and 5:33 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 635, -1117, -2855, -4573, -6265?\n\"Answer: p**3 + p**2 - 1762*p + 2395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 114*f*n*t - 2*f*n + f*t**3 + 2*f + 11*n*t + 10*n + 708 with respect to t.\nAnswer: 114*f*n + 3*f*t**2 + 11*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange p**2 + 38*p - 69*p + 37*p - p**2 + 13*p**4 - 2 - 2*p**3 to the form u + y*p**4 + j*p**2 + r*p + b*p**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) be the first derivative of -a**6\/60 + a**4\/12 + a**2\/2 - 3. Let n(g) be the second derivative of l(g). Factor n(b).\nAnswer: -2*b*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -32 - 30 + 16 - 32 + 10 + p in the form d + f*p and give d.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -2558.9622 to the nearest ten.\nAnswer: -2560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 59\/1786730 and -3\/11?\nAnswer: 1786730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 22 + 23 - 7 + 0*c**2 + c**2 wrt c?\nAnswer: 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.0892 + 0.4892. What is the third smallest value in 1, -1\/4, -0.05, 3.2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = 13*m. Let u(a) be the third derivative of -22*a**2 + 0*a + 0*a**3 + 0*a**4 - 1\/30*a**5 + 0. Determine b(u(z)).\nAnswer: -26*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1057804208?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(17) + 1 + sqrt(17))*-2)**2 + (sqrt(1700) - (sqrt(1700) + 0)**2).\nAnswer: -1424 + 26*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 10.64 + -10.6873. Let o = f - -0.054. Round o to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-18)\/(-5))\/(-3))\/((-63)\/30)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 70\/(-15)*30\/(-4). Suppose -5*y = 5*a - h, 1 + 16 = -4*a + 5*y. Solve 0 = 4*w - a*i + 8, -3*w - 2*w + i = 10 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10719?\nAnswer: 3, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 153 minutes before 1:31 PM?\nAnswer: 10:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -190 + 194. Let t = -15 - -14.3. Let i = 0.8 + t. Which is the fourth smallest value?  (a) -2\/11  (b) -1\/10  (c) j  (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:17 AM and 11:11 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 1, o: 1, d: 3, s: 2}. Give prob of sequence os.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.003257 to four dps.\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 2*k**3 + 2*k**2 + 2*k - 1. Suppose -4*c + 10 = 2. Let n be g(c). Let p = -2 - -4. Solve 0 = 5*j - n + p for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n**5\/2 + 17957*n**4\/2 + 40311220*n**3 + 40302242*n**2 = 0. Calculate n.\nAnswer: -8978, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000056619263 rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 570 minutes after 5:46 PM?\nAnswer: 3:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 1671 - 864 = 0. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-10)\/3*37\/555.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 590389488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -1 - -5 - (-3 - -2). Suppose w*f + 203 = 613. List the prime factors of f.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -43 + 38 - (-1 - (1 + -8))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.72052 rounded to 1 dp?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jfjzjzjjjjcjcjjj. What is prob of picking 2 c and 1 f?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 531, 1075, 1619, 2163, 2707?\n\"Answer: 544*n - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/(52*1) - (-134 + (-714958)\/(-5330))?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 231 + -153. Suppose 6*c - c = -4*r + 86, -c + a = 4*r. Calculate the greatest common divisor of 95 and r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -385*p**3 + 232*p**2 + 24*p. Let n(f) = 384*f**3 - 233*f**2 - 20*f. Let j(c) = 6*n(c) + 5*u(c). What is the third derivative of j(i) wrt i?\nAnswer: 2274","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 4*c**2 + 3*c. Let a(p) = 36*p**2 + 12. Let x(r) = -a(r) - 3*h(r). Let f(u) = 12*u**2 + 2*u + 3. Determine -9*f(o) - 2*x(o).\nAnswer: -12*o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1059067 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/32 of a kilometer in centimeters?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -6 - 5. Let q = j - -10.9. Sort 0.3, -4, q in descending order.\nAnswer: 0.3, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -3.6761571 to one decimal place.\nAnswer: -3.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*m + 2*m + 8. Suppose 4*n + c - 4 = 0, c = 4*n - m*c - 20. Calculate the lowest common multiple of (n\/(-5))\/(1\/(-10)) and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 80 + -74. What is the nearest to x in -3, 3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*y + 4*y - 2*y - y - 2*y + 2*y + 3*y - 5*y + 0*y + (3 + 2 - 3)*(-3*y + 2*y - y) + 2*y + 0*y - 4*y + 1 + 2*y - 1.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -5  (b) -7  (c) -1  (d) 2  (e) -3\/5  (f) -9\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-16)\/3 + 5)*400 + -5. Let n = -139 - o. Put -2\/9, 0.5, -0.06, n in increasing order.\nAnswer: n, -2\/9, -0.06, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -86.15 rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ccw when three letters picked without replacement from {w: 6, o: 1, c: 4, r: 2, j: 1, y: 4}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 357.2 - 327. Round c to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) be the second derivative of -v**3\/6 - 3*v**2 - 249*v. Let l(s) = 7*s + 29. Let k(m) = 2*l(m) + 11*t(m). Give k(-9).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) be the first derivative of -19*d**6\/6 - 2*d**4 + d**2\/2 - 204*d - 1438. What is the second derivative of w(j) wrt j?\nAnswer: -380*j**3 - 48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + 361 = 2017. Is 81 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*t + 2*t - 50*t**3 - 2*t.\nAnswer: -50*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1394 or -1508?\nAnswer: -1508","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y - 129*m + 4 = -128*m, 4*m - 6 = 3*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 6\/(-4)*(-16)\/6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*j + j - 4*j + (-2 - 4 + 4)*(1263*j - 1781*j + 2168*j).\nAnswer: -3299*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r = -6*r + 2. Let g = -68 - -70. Let l be (-3)\/g*(-12)\/9. Put l, -4, r in decreasing order.\nAnswer: l, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = q**2 + 13*q + 14. Let v(a) = 3*a**2 + 51*a + 57. Let w(j) = -9*b(j) + 2*v(j). Factor w(t).\nAnswer: -3*(t + 1)*(t + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z**4\/7 - 1068*z**3\/7 + 161426*z**2\/7 - 5032416*z\/7 + 44405888\/7 = 0. What is z?\nAnswer: 19, 248","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 >= 50\/37071101?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 21*(-8)\/2952*-3*12\/(-14)?\nAnswer: -6\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 11887 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is d6 (base 16) in base 8?\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g + 69 = r, 74 = -9*r + 10*r - 5*g. Let m = 53 - r. Suppose 219 - 35 = m*b. Calculate the greatest common divisor of 46 and b.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (54\/(-9))\/(-6*2)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 39 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c = -c + 3*k, -15 = 4*c + k. Let r be 3 - (c - (1 + -3)). Suppose 69 = 9*f - r*f. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 4, y: 5, q: 1, t: 1}. What is prob of sequence ut?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 16065 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 m(l) be the third derivative of 2*l**5\/15 - 15*l**2. Let p(r) = 10*r**2. Calculate p(m(x)).\nAnswer: 640*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 32\/5 of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*((sqrt(6) + sqrt(150)*-1)\/(sqrt(150)\/sqrt(3)) + (2*sqrt(24)*-3)\/((-2*sqrt(88))\/sqrt(11))).\nAnswer: 22*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n\/n**(-4\/7)*n*n**6)\/(n**6\/(n*n*n**(-5\/3))) assuming n is positive.\nAnswer: n**(61\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-4914)\/280 + 17 - (-12)\/15. Sort 0.07, -2, h, -1, -11 in increasing order.\nAnswer: -11, -2, -1, 0.07, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 542 and 10.\nAnswer: 2710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 15 - 27. Let o be (2\/(-3))\/(n\/18). Let w be o\/(2\/16*2). Solve -t = -w*t + 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -18*4\/(-60)*25\/70. Put -52, 2\/423, r in decreasing order.\nAnswer: r, 2\/423, -52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/3?  (a) 0.07  (b) 262723  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 13.41 rounded to 1 dp?\nAnswer: 13.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 53 + -6 + -1 - (-2728 - -2691).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 5*p + 95. Give j(-19).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 77991 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v**2 + 1656*v + 27664780 = 0. What is v?\nAnswer: -2431, 2845","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -184 - -126. Let z = -58.24 - b. What is z rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wwwwooooow. What is prob of sequence woo?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Determine m, given that -3*m**4\/4 - 177*m**3\/4 + 6471*m**2\/4 + 14121*m\/4 - 5103 = 0.\nAnswer: -84, -3, 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 15665689477 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 341.471 to 0 decimal places.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 4 - -241?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 114 + -112. Suppose s*k - 55 = -9*k. Calculate the lowest common multiple of 11 and k.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*t - 2*t - 3. Suppose 2*l + 2 = 3*l + 4*m, 57 = t*l - 5*m. Suppose -13*a + l*a = 22500000. What is a rounded to the nearest 1000000?\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*f**3 + 50*f**4 - 106*f**4 + 112*f**2 - 113*f**2 - 4 + 0*f**3 + 53*f**4 + 15*f as r*f**3 + q*f + j*f**2 + y + o*f**4 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2 by 83.\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((2 + -4)\/2)\/((-4)\/16). Let g be (-38)\/(-8) + 0 - x. Sort 0.029, g, -5 in descending order.\nAnswer: g, 0.029, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.317 and 0.1394.\nAnswer: -0.0441898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 96*n - 83*n + 91 = 0 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2637?\nAnswer: 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 3311 + 10?\nAnswer: 3321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -155*j*v**2 + j*v + 55*j - 1162*v**2 + 107 wrt j.\nAnswer: -155*v**2 + v + 55","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*d - 50 = 6 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000238209136 to 5 decimal places.\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 11421\/8 - 1428. Let o = 77 - 47. Put o, 1\/2, -2, t in descending order.\nAnswer: o, 1\/2, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - 5*v = 19, -5*c + v - 2 + 1 = 0. What are the prime factors of (-2)\/(82\/86 + c)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*g - 77 = -3*t - 15, -2*g - 85 = -5*t + 13*g - 5 for t.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 9505, 19088, 28669, 38248, 47825, 57400, 66973?\nAnswer: 76544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 26 + -23. Suppose -5*g = -i + 27, 2*g + 30 = b*i - i. Suppose i*c = 10*c + 108. Is 9 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 8 = -u, -5*p + 12 = 2*u. Suppose 6 = -p*n + v + 4*v, -14 = 3*n + v. Let q = n - -26. Solve -c = -o + 5*o - 9, -3*o = -5*c + q for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*d**3 - 10620*d**2 - 9398700*d - 2772616500.\nAnswer: -4*(d + 885)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-236)\/(-885))\/(40\/(-150)*6)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 776036*z**2 + 30*z + 8884 wrt z?\nAnswer: 1552072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4400?  (a) -2  (b) -6\/13  (c) 28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 629033070?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 17617\/(-1870) + 4\/(-10). Let u = p + 177\/17. Calculate the common denominator of -69\/2 and u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (sqrt(7)*4)**2 + -3.\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -k. Let j(b) = 3005*b. Determine j(d(p)).\nAnswer: -3005*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (7\/(-14))\/((-2)\/(-6))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1354 + -1354. What is the closest to -3 in -0.3, z, -0.1, 1\/9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 17\/(-34)*0\/((-1)\/(-1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -2041*w - 188. Does 63 divide u(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-3)\/2)\/((-7)\/14). Let b(q) = -6*q + 8*q - c*q. Let m(g) = 2*g. Calculate m(b(r)).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 171647*o**4 + 20*o*r**2 - 160118315*r**2 wrt o.\nAnswer: 686588*o**3 + 20*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -2852 plus -259154481?\nAnswer: -259157333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0 - -2. Let j(z) = z**2 - 18*z - 17. Let i = 50 - 31. Let c be j(i). Solve 0 = w + k*w + c*h - 25, -w - 2*h = -15 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -3*c + 4. Let a be z(2). Let x be (-2)\/(a*4\/4). Sort -5, x, -7 in decreasing order.\nAnswer: x, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 - (3 + -22 - -12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 791842 is divided by 46.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000825 to 6 decimal places.\nAnswer: -0.000083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 90781 (base 12) to base 2.\nAnswer: 101101110101010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3684*x - 1712 + 58138 + 17071 - 3501 = 0 for x.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 15191, 30376, 45561?\n\"Answer: 15185*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:32 PM and 9:53 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9599230?\nAnswer: 2, 5, 409, 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6\/(-9)*1141\/326*3\/1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b - 26 = 14. Let o(l) = -l**3 - l**2 + l - 1. Let u(t) = -12*t**3 - 12*t**2 + 14*t - 10. Let f(n) = b*o(n) - u(n). Find v, given that f(v) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 43 a factor of 1124258994?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4?  (a) -0.1  (b) 0.3  (c) -3\/7  (d) 5  (e) -32\/375\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1\/129  (b) 2  (c) 2\/25  (d) 3  (e) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 7 + 1. Suppose -273*b + 2509 = -247*b - 507. What is the lowest common multiple of b and m?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 301 divided by 2?\nAnswer: 301\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/((a\/a**(-1\/5))\/a))**(2\/119)*((a**(-3\/5)\/a*a)\/a)\/(a\/(a*a**4*a*a)) assuming a is positive.\nAnswer: a**(2626\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*g - 498 - 429 = -98*g for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mtfit. What is prob of picking 1 i and 1 t?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 5*q - 48 = 0. What is the smallest common multiple of 33 and q?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 44 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.9, 0.1, 2\/11, -1 in ascending order.\nAnswer: -1, -0.9, 0.1, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -34.440045359 - 46072.482816641. Let h = -46008.923 - z. Let u = h - 98. Round u to 5 decimal places.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -x**2 - 72*x - 1296 = 0. What is x?\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = 15*s - 17. Is 14 a factor of i(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 8 and ((-18)\/5)\/(8\/(-80)) - 0?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(180)*-5)\/(sqrt(20)\/(sqrt(6)\/sqrt(3))))\/(-2*sqrt(6)*-2*-6*-1).\nAnswer: 5*sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 168176, 336362, 504548?\nAnswer: 672734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) be the first derivative of 4*g**5\/5 + 16*g**4 + 256*g**3\/3 - 113. Determine d so that i(d) = 0.\nAnswer: -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 75\/(-10850) + (-5)\/(-70).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6355 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -471*a**3 - a**2 + a + 4. Let q be m(4). Let t = q - -150287\/5. Let v = 95 + t. Is 1 smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + -52 + (-741407)\/(-14333).\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -22516679 * 0.4\nAnswer: -9006671.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 389 is divided by 122?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*k - 3*l + 13 = 0, 2*k + 1637 - 1646 = -l for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m + 6*c - 237 = 2*c, 0 = 2*m + 2*c - 96. What is the highest common factor of 5745 and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9966978121 + 0.9933\nAnswer: 9966978121.9933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t + 124 - 144 = 0. Let k(a) = -2*a**3 + 2*a - 4. Let w(p) = p**3 - p + 2. Let h = 0 + 9. Determine h*w(y) + t*k(y).\nAnswer: y**3 - y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -57, -0.18, 3\/101 in increasing order.\nAnswer: -57, -0.18, 3\/101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -351 >= -350?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*w + u - 1, 2*w - 139*u + 134*u + 49 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -150 - -153. Let a(f) = -5*f**3 + f**2 + f + 1. Let d be a(-1). Solve d*o = i*o + 5*p - 3, 0 = 3*o + 3*p - 21 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10 + 11011100001001001?\nAnswer: 11011100001001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1037*q + 720*q + 5072 = 0 for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 5 - 5.3. Let l = q + 0.38. Let c = 2.92 + l. Sort 4\/9, c, 1 in increasing order.\nAnswer: 4\/9, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.222 plus 11.2?\nAnswer: 8.978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:23 PM and 5:08 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4 (base 7) to base 4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*j + 0*j - 2*j**3 - j**3.\nAnswer: -3*j**3 + 5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 6107*c - 1 - 6107*c + 5*c**2. Let y(w) = w**2 + 1. Determine -f(b) + 2*y(b).\nAnswer: -3*b**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = 2*p**3 + 24*p**2 - 3*p - 34. Let n be i(-12). Let v = 11 - 4. Let k(z) = -z - 20. Let t(g) = 4*g + 61. Let l(w) = n*t(w) + v*k(w). What is l(0)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 2*j - 8. Suppose -5*a + 3*a = 4*g - 1290, -3183 = -j*a + 4*g. List the prime factors of a.\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -59*d + 455220 = 65*d - 88644. What are the prime factors of d?\nAnswer: 2, 3, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.56 + -0.04. Let s = 69 - 121. Let u = s - -52.1. Which is the nearest to -0.1?  (a) 1  (b) u  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 8) in base 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 5436615?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (6 - 1) + 0 + (3 - 9)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 8 + -8.1. Let f(i) = -i**3 + 7*i**2 - 4*i - 6. Let k be f(6). Suppose -d + k = d. Is z greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 552 and 483897?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 89.04171 days?\nAnswer: 7693203.744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l - 4*l - 2 = -m, -4*l + 11 = -5*m. List the prime factors of 5 + (-4 - (m - -2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in twenty-six fifths of a minute?\nAnswer: 312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.016 + 22.016. Let l = -22.78 + d. Round l to one dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -9 + 11. Put -5, 4, f in ascending order.\nAnswer: -5, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 185185?\nAnswer: 5, 7, 11, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = a**3 - 4*a**2 + a + 5. Suppose 21 = 4*b + i, -4*b + 5*i = i + 4. What is the lowest common multiple of 11 and p(b)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -9*i + 7. Let n(j) = -5*j + 4. Let x(o) = -7*n(o) + 4*u(o). Let g(f) = 24*f**2 + 20*f - 8*f - 12*f. Calculate g(x(c)).\nAnswer: 24*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -25 divided by 1.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 24\/14*((-735)\/(-6))\/(-35)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find x such that 49*x + 1050*x + 4*x**2 + 60516 - 115*x = 0.\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -18, 3, 8, -135, 1, 4, -9.\nAnswer: -135, -18, -9, 1, 3, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -5  (b) 3\/4  (c) 262\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve h**3\/9 - 4099*h**2\/9 + 1809905*h\/3 - 254454025 = 0.\nAnswer: 889, 1605","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Let z be (4 + 74)\/(-2)*4\/(-6). Suppose -x + 2*x = 2*a - 10, -z = -2*a + 5*x. Suppose 0 = c - a - 40. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 297 + 100?\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 8058 (base 9) to base 14\nAnswer: 2205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -29293, -29292, -29291?\nAnswer: -29290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -y - 14. Calculate i(12).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*q + 26*z - 144 = 0, -4*q + 4*z + 9 = -2*q + 27 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 451023 - 3?\nAnswer: 451020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2, -17609, -52?\nAnswer: -17609","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) be the first derivative of -y**2\/2 - y + 5. Give z(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = 2*b. Let n be (7 + (-92)\/12)*-6. Let c(z) be the second derivative of 0*z**2 - n*z - 11\/6*z**3 + 0. Calculate r(c(j)).\nAnswer: -22*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -33 + 33.3. What is the nearest to -1\/2 in -0.06, v, 2\/5?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g = -j + 19, j + 1 = -g + 2*g. Let r = 9 - 15. Is 12 a factor of j*r\/(-9) + 20\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -10659547 to the nearest 10000.\nAnswer: -10660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -22.552 - 0.248. Let h = o - -22.799786. Round h to five dps.\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -26, -11, 20, 73, 154, 269, 424, 625?\n\"Answer: t**3 + 2*t**2 + 2*t - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2388 by -199.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -90*g = -72*g + 342. What is the closest to -1\/3 in g, -1\/10, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -25090\/1153 or -23?\nAnswer: -25090\/1153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 10*n**2 - 10*n - 8. What is r(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 2, t: 5, l: 5, r: 1, k: 3}. Give prob of picking 2 q.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find n such that -11373*n**2 - 12*n = 0.\nAnswer: -4\/3791, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.02 * 1834008.\nAnswer: -36680.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) be the second derivative of f**4\/54 - 20*f**3\/27 + 19*f**2\/9 + f + 41. Factor w(j).\nAnswer: 2*(j - 19)*(j - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -y**2 - 14*y - 8. Determine n(-6).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 414?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -0.5, 2, -1.6, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 31 is divided by 19.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -262 - -268. Solve -w*t + 2 + 10 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -7*z - 5. Let b be n(3). Let p = b + 39. Differentiate 10 - 12 - 13 + 2*j**3 + p*j**3 wrt j.\nAnswer: 45*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*t - 39*t + 234 - 58. Let w be (2*1)\/(1\/(-2)). Sort w, 16, -5, t.\nAnswer: -5, w, t, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -f**2 + 18*f. Let c(p) = -12*p**2 - 30*p - 45. Let z(s) = -3*s**2 - 8*s - 12. Let k(a) = -4*c(a) + 15*z(a). Calculate x(k(h)).\nAnswer: -9*h**4 + 54*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-275)\/(-65) - (-8670)\/(-2040).\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) be the second derivative of a**4\/4 - a**3\/2 + 3*a**2\/2 + a. Suppose 0 = -3*d + 3*j - 6093, 52*d + 2*j = 47*d - 10169. Let v = -2031 - d. What is x(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 take away -17215762401679?\nAnswer: 17215762401680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Add -170252 and -3.\nAnswer: -170255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*n + 2242251282 - 200771282 = 0. What is n rounded to the nearest one million?\nAnswer: 146000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*o + 88*o**2 + o**3 - 56 + 0*o**3 - 48 + 177 - 76 in the form q*o + r*o**2 + d*o**3 + v and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 101101101100010 (base 2) in base 3?\nAnswer: 1012002110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sum -1278980 and 0.11413.\nAnswer: -1278979.88587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4164280, -4164278, -4164276, -4164274, -4164272, -4164270?\nAnswer: -4164268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t = j + 100, -2*t = -t + 4*j - 25. Let l(g) = g**2 + 5*g - 11. Calculate the remainder when l(-12) is divided by t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = 4*p**3 + 494*p**2 - 131*p + 14529. Give n(-124).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 17910390 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -4, -21, -50, -91?\n\"Answer: -6*g**2 + g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in seventy-six fifths of a minute?\nAnswer: 912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: ((-48)\/8)\/((((-70)\/(-49))\/10)\/((-2)\/(-14)))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 8*s - 7. Let l be t(2). Suppose -9 - 36 = -l*z. Which is the fourth biggest value?  (a) z  (b) 1  (c) 0.1  (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b = 24*b - 1242. Let v be -5*((-3)\/1 - -2). Suppose f - 23 = v. What is the remainder when b is divided by f?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 446 minutes before 4:55 PM?\nAnswer: 9:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 107  (b) 3  (c) 0.5  (d) 7378\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -674*t**2 + 22 with respect to t.\nAnswer: -1348*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*m - 875 - 1035. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 3, 0, 27435, -1, -3 in increasing order.\nAnswer: -4, -3, -1, 0, 3, 27435","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is s in s**3\/3 - 74*s**2\/3 + 1369*s\/3 = 0?\nAnswer: 0, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -2*v + 5. Let z(f) = -1. Let j(r) = -2. Let k(t) = 6*j(t) - 11*z(t). Let b(p) = -i(p) - 6*k(p). Let o be (-22)\/(-18) - 2\/9. Determine b(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11665 is divided by 2913.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 2*y**3 - 100*y**2 + 16*y. Let l(g) = g**3 - 34*g**2 + 6*g. Determine -8*l(f) + 3*v(f).\nAnswer: -2*f**3 - 28*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = z**3 + z**2 - z + 2. Let o(p) = -7*p**3 - 4*p**2 + 5*p + 332. What is -5*c(g) - o(g)?\nAnswer: 2*g**3 - g**2 - 342","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 37925 divided by 3\nAnswer: 37925\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -14 - -8. Let o = 7 + y. Let s be (-18)\/8 + o + 1. Which is smaller: s or 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*m*w**5 + 6*m*w**3 + 231*m*w + w**5 wrt w.\nAnswer: -60*m*w**3 + 36*m*w + 20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 0, 483, -2 in descending order.\nAnswer: 483, 4, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 86133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -138839393 divided by 23417\nAnswer: -5929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 46.5921 - -0.1079. Let s = -51.7 + l. Which is the biggest value?  (a) -8\/7  (b) 11  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36*f = 149*f - 166449. Which is smaller: f or 1474?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = h**3 + h**2 - h + 95. Let i be s(0). Suppose -3*j = -v - i, -j + 0*j - v = -25. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 5093 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1*(-5)\/(-6)*6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -g + 18. Let l be c(19). Let h be 7*(-3 + 5 + l). Solve 2*t - 25 = h*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 441.3241l?\nAnswer: 441324.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -b + 3*b - b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 50, 68, 86, 104?\n\"Answer: 18*f + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 662 minutes after 1:06 PM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9 divided by -18.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 12\/(-3)*(-888)\/37. Calculate the highest common divisor of 624 and g.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 13646, 27256, 40866?\nAnswer: 54476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -9.9 - -8.76. Let v = o + 0.7. What is v rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1151447 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 232314794 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out 79 - 4.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 72*p - 79*p + 378 = 0. Calculate the highest common divisor of p and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16683669647 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -1555700 to the nearest 10000.\nAnswer: -1560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 276 + -280. What is the closest to -1 in -0.125, i, -0.4, 0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 78 and 39?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 1 l when two letters picked without replacement from {e: 5, o: 3, l: 2, j: 1, w: 7, m: 2}.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 + 3 - 1)*(-3 + 3*w + 3) - w - 3*w + 3*w in the form x*w + q and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -1*2*1*(-19)\/855*-3\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 - (6 - (-340)\/(-30)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 651089 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 10509979 to the nearest integer?\nAnswer: 3242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 114 and 494?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -18.98 + 19. Put 0.5, t, 1\/4, 2\/7 in increasing order.\nAnswer: t, 1\/4, 2\/7, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (24\/(-100))\/(12\/(-40))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 562730.\nAnswer: 2, 5, 7, 8039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 661792, 1323578, 1985364, 2647150?\nAnswer: 3308936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12919*v**3 + 43*v - 43*v - 43477*v**3.\nAnswer: -30558*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: ((-8)\/20*-3)\/((-6)\/20)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -2*l**3 - 3*l**2 - 2*l - 5. Let k(t) = -t**3 - t**2 - 1. Suppose -16 = 5*w - 21. Give w*i(o) - 3*k(o).\nAnswer: o**3 - 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.8 - -0.3. Suppose 0 = -11*q + 44 - 0. Suppose 0 = 3*u + 2*u + 4*d + 5, -q*d + 45 = -5*u. Which is the biggest value?  (a) -13  (b) u  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -134323 (base 5) in base 6?\nAnswer: -41512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 8087 + -8082. Solve 0 = -3*r + 5*g + i, -2*g + 30 - 38 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -638 + 3087\/5. Let q = 21 + g. Is 0 bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) be the first derivative of 0*q**4 + 0*q**2 + q - 2 - 9\/5*q**5 + 0*q**3. Differentiate j(h) with respect to h.\nAnswer: -36*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -2*j - 10. Let u(p) = -p**2 + 27*p - 152. Let f be u(8). Suppose 0 = -f*l - 8*l + 64. Calculate a(l).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 337, 676, 1015, 1354, 1693, 2032?\nAnswer: 2371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m = 5*m - 20. Suppose -m*k + k - 78 = 0. Let p be k\/3 - (-2)\/3. Round p to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.7 in -1\/14, 8.7, 5, 13\/4, 2, 4?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (55*z + 801 + 60*z - 113*z)*(-4 + 1 + 4)*(0*z**2 + 0*z**2 - z**2) as d*z**2 + w*z + o + l*z**3 and give d.\nAnswer: -801","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 113032441 (base 6) to base 5\nAnswer: 1014312014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 126 + -6?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35*s - 10 = 45*s. Let t(o) = 0*o + 2 - 3*o + 3*o**2 + 4*o. Let h be t(s). Solve 1 = -h*q + 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*u = -45 + 55 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 1341 divide 29827863?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18622674.\nAnswer: 2, 3, 7, 147799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0 + 2. Suppose 3*r - 20 = -2*f, 0*f = -4*r - 3*f + 28. Suppose 4 = -w*v + r*v. Solve 2*d = v*q, 6 - 16 = -3*q + d for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -89\/5484 and -11\/16?\nAnswer: 21936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000002238 to 7 decimal places.\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 78470?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -164*x + 1455934 - 1448554 for x.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = 15263*k + 351100. Calculate f(-23).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*2*sqrt(88)*2)\/(((3*sqrt(336))\/sqrt(7))\/sqrt(6)) + -5.\nAnswer: -20*sqrt(11)\/3 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 4 + k + (2*k + 0*k - 4*k)*(2 - 1 - 2))*(-2*k**3 - 4*k**3 + 5*k**3)*(-720 + 720 + k).\nAnswer: -3*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -27177, -3.3, -3.\nAnswer: -27177, -3.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert -18821133 (base 9) to base 2.\nAnswer: -100100010100011011010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fgg when three letters picked without replacement from {f: 2, g: 7, e: 7}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1 - 11616?\nAnswer: -11615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 273 + -73. Suppose s - 15 = -2*y + y, 0 = -5*s - y + 87. Suppose 5*j = -3*l + a, 3*j - 90 = -l - s. Is 20 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -r**3 - 7*r**2 - 13*r + 4. Let p be t(-4). Suppose -p*w + 7*w = 55. Let y = w + 206. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 22435*f**3 - 1740*f**3 + 12361*f**3.\nAnswer: 33056*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -608165*z**5 + 822147*z**2 wrt z?\nAnswer: -36489900*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -49\/632 and 113\/4932?\nAnswer: 779256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(sqrt(1573) - sqrt(1573)*-2) - (sqrt(13) + sqrt(26)\/sqrt(2) + -2 + 6*(sqrt(13) + -1)))**2.\nAnswer: -1712*sqrt(13) + 148901","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -669, -1337, -2005, -2673, -3341, -4009?\n\"Answer: -668*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in seven halves of a milligram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 34499?\nAnswer: 34499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -6*o**2. Let x = 4 - 1. Let c = x - 0. Let d(r) = -3*r**2 + r**2 + c*r**2. Calculate a(d(f)).\nAnswer: -6*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 7965 and 413?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3129*u + 15 - 7 + 3145*u to the form p + m*u and give p.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 123 minutes after 7:35 PM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.549999 rounded to 3 decimal places?\nAnswer: 0.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 250414999?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-16)\/(-12))\/((-2)\/6). What is the second smallest value in 3, o, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -6228, -14886, -23544, -32202, -40860, -49518?\n\"Answer: -8658*f + 2430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f - 12 - 44 = 0. Let q(x) = x**2 - 13*x - 1. Let d(r) = -r**3 - 10*r**2 + 11*r + 9. What is the remainder when q(f) is divided by d(-11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + 67 = -3*p, -129 = -7*v + 3*v + 5*p. Suppose -v*b = -20*b + 78. Is -13 at least as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2589 - 2645.39. Let j = n + -0.61. Let h = j + 59. Which is the biggest value?  (a) 3  (b) 3\/4  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -100*z - 60*v + 1124 = -96*z, 76 = 4*v for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 2, c: 1, g: 1, m: 1}. What is prob of picking 1 f and 1 c?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -107*r - 381 + 381 to the form g*r + h and give g.\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Total of -4524944.58863 and 970.\nAnswer: -4523974.58863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = n**2 - 12*n + 9. Suppose 0 = -2*k - 15 + 39. Let x be h(k). Solve 3*l - x = 3*m, 5*l - 9 = -m - 0*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o and 1 m when two letters picked without replacement from aobaiaoamiapaob?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33*l = 36*l - 6261. Suppose 19 = -4*h + l. What is the hundreds digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*l = 8 - 5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 3303, 4217, 5131, 6045, 6959, 7873?\n\"Answer: 914*d + 2389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 388156187.\nAnswer: 19, 20429273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) be the second derivative of y**5\/20 - 5*y**3\/6 + 9*y. Let f(z) = -z**3 + z**2 + z. Let u(k) = b(k) + 2*f(k). What is u(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 250436 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 64029969527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + 12 + 4 + (711 - 791)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28 = 4*a + 4*o, 9*a + 32 = 14*a + 4*o. Suppose -5*i + 25 = 0, 0*j - 11 = j - 2*i. Put -1\/2, j, a in increasing order.\nAnswer: j, -1\/2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = 5*r**3 - 6*r**2 - 30*r - 4. Let g be h(7). Suppose -8*d + 2121 = -g. Is 7 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -18*c**2 - 4*c. Let u(x) = -x. Calculate u(n(j)).\nAnswer: 18*j**2 + 4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*k - 7*k + 4. Solve -5*h + 8 = -k*a + 25, 3*h - a = -11 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 40*t**2 - 1 - 1 + 2 to i + d*t + r*t**2 and give r.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2199032542?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3046332 and 1096?\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 94045159?\nAnswer: 13, 7234243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -4494 + 4689. Calculate the remainder when 207 is divided by q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 24\/32 - (-173)\/4. Calculate the greatest common factor of g and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12854299 to the power of 1\/2, to the nearest integer?\nAnswer: 3585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 + -9*(-40)\/(-105) + 54\/(-70).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-6)\/21 + (-37)\/(-7). Let u be 0 + 5\/(g\/3). Suppose -r - 20 = -u*r. What is the least common multiple of r and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -55*m**2 + 898*m + 906*m + 220 - 1804*m with respect to m.\nAnswer: -110*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) be the third derivative of -u**7\/840 + u**6\/120 + u**5\/60 - u**4\/24 - u**3 - 3*u**2. Let j(r) be the first derivative of a(r). What is j(4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 5  (b) -2203  (c) 4  (d) 6\/29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1\/4  (b) 0.187  (c) -1497.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -a**3 - 10*a**2 + 3. Suppose -3*b = 3*y + 18, -1 + 5 = b. Is t(y) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -c**3 + 22*c**2 + 11*c - 39. What is the thousands digit of t(16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-five halves of a millimeter in micrometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-1035)\/(-60)*8\/3 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 79 + -70. What is the hundreds digit of (12\/j)\/(12\/2151)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 585886969 + 33688*v**3 - 585886969.\nAnswer: 33688*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -76 or 3553?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1176.27827 and -0.3?\nAnswer: -352.883481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = 11*w**2 - 190*w - 3. Does 18 divide t(19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -588*p**4 + 234752*p**3 - 55796*p**2 - 25552*p + 6384 = 0. Calculate p.\nAnswer: -1\/3, 2\/7, 399","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 4*r**2 - 1. Let a = -16 - -20. What is the remainder when y(a) is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (42\/63)\/((-4)\/(-6)). Solve -f + 2 = o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 454095?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -10 - 113 - (103 + -155).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -6827302 or -6827277?\nAnswer: -6827277","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3277 + -3330. Which is the second biggest value?  (a) -0.5  (b) -3\/4  (c) 0.2  (d) -3  (e) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14827?\nAnswer: 14827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -57*d + 0*d**2 + 34*d + 23*d - 2*d**2.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 28969 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3741\/4 + -934. Which is the fourth smallest value?  (a) -3  (b) -10  (c) 4  (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1782 and 277992?\nAnswer: 277992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(324)*-3)\/sqrt(3) + 3 - (-1*sqrt(600) + sqrt(600))\/(sqrt(64)\/sqrt(72)).\nAnswer: -18*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -9*t - 0*t + 36 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express 8 + j**2 + 4*j**4 + 95*j - 1 - 2*j**3 - 84*j - 5 as u*j + a*j**3 + d*j**4 + g*j**2 + q and give u.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.5, -2.02, -6\/1487?\nAnswer: -6\/1487","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -36 - -130 - 64 - (-2 - 2 - (-9 + -6))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 204 and 256139340.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -143291 - -1.8.\nAnswer: -143289.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 3, -480\/11, -1, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 854.6793 rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -802669.37 to the nearest 1000.\nAnswer: -803000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 420 minutes after 11:59 AM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from jjjqjjjjjjjj.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3 - -89. Let b = y + -54. Calculate the highest common divisor of 8 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) be the third derivative of -r**6\/180 - r**5\/30 + 2*r**3\/3 - r**2. Let w(c) be the first derivative of m(c). Factor w(b).\nAnswer: -2*b*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 10\/((-50)\/(-31983)) - (-4)\/10. Suppose -5*j + m = 4*n, -2*j + 3289 - 747 = -4*n. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/(8\/(-5))*228\/(-95)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -r - 5. Let s be m(-11). Let u = -2 + s. Suppose 2*o - u*o + 10 = 0. Let f(l) = 2*l - 7. What is f(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(108) - (sqrt(162)*2)\/sqrt(6))\/((-2*sqrt(99) - sqrt(99))\/sqrt(11) - sqrt(27)\/(sqrt(3) - (sqrt(3) - sqrt(3)*-2))).\nAnswer: 12*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 305, -44 in ascending order.\nAnswer: -44, 5, 305","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(624))\/(sqrt(27)*1) + ((3*sqrt(65)\/sqrt(5))**2 - (5*sqrt(65)\/sqrt(5))**2).\nAnswer: -208 + 4*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = 6*c**3 + 3*c**2 + 9*c + 12. Let o be l(-9). Round o to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.1 at most -4904?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 40167 (base 8) to base 6\nAnswer: 204223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*l + m - 81, -5*m = l + 3*l - 48. Suppose 5*u - l = -3*y, 5*u = 3*u + 3*y - 10. List the prime factors of (-7 - (-2)\/u)\/(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - 16 = 0, -4*f + 0*u + 4*u = 64. Is (-1 - -2 - -21560)*(-4)\/f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine f so that -f**2 - 25948*f - 77835 = 0.\nAnswer: -25945, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (5 + 59998 + -3)*(-3522)\/(-9). What is d rounded to the nearest one hundred thousand?\nAnswer: 23500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 177871 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2655?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 841 at most as big as 313?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = h**2 + 11*h + 35. Let r be a(-6). Sort 5154, 0, 3, r in decreasing order.\nAnswer: 5154, r, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 3*c**2 - 3*c**2 - 2*c**2. Let d(q) be the first derivative of -7*q**2 + 332. Calculate d(o(i)).\nAnswer: 28*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -2670886, -5341785, -8012684, -10683583, -13354482?\n\"Answer: -2670899*g + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1975399028?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-91*b - 18*b + 70 + b**3 - b**2 - 68)*(3*b + 3*b + 7*b) to the form z*b**4 + g + p*b**3 + c*b + o*b**2 and give o.\nAnswer: -1417","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from mfmsmsmffmlfmm.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -5*o + 13. Let f(x) = x + 3. Let v(a) = 40*a - 25*a - 19*a - 9. Let c(u) = 7*f(u) + 2*v(u). Suppose -2*m + 5 = 1. Give m*l(i) - 9*c(i).\nAnswer: -i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 4 - (12 - ((0 - 3) + -26 + 31))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -r**3 + 25*r**2 - 25*r + 24. What is f(24)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 970?\nAnswer: 2, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 8 and 52760?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.8 less than 19?\nAnswer: 18.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 6620, 26470, 59554, 105872, 165424?\nAnswer: 238210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = m - 3. Let b be u(1). Let h(v) = 25*v**2 - 2. Let p be h(b). Let z be (-4)\/(-14) - 28\/p. Solve z = 2*o - 3*d - 2, o - 4*d - 3 = -2*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*l + 8*l + 4*l**3 - 8*l wrt l.\nAnswer: 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 155232930 to the power of 1\/4, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-40)\/48)\/(-5)*-6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -g**3 + 6*g**2 - g + 6. Let l be (9\/(-2))\/(9\/(-12)). Let x = l - -5. Suppose -x + 41 = 5*j. Give s(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 59\/6454338 and 29\/1502924.\nAnswer: 942333348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (408 - 421) + (4 + -2 - 23) - 11?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 825 and 1485?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-63)\/84)\/(2\/(-8)). Let d(c) = 3*c**2 + 1 + 3*c**r + 2*c**2 - 4*c**3 + 2*c. Let a be (-9)\/(-3)*5\/3. What is d(a)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3 - -8) + (4 - 1 - 4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1 - 1. Let f be (b - -2) + (-96)\/51. Let w = 2 - 2. What is the nearest to -0.1 in w, 0.1, f?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-1)\/(-3 + (-303)\/(-102)). Let y = b + -17. List the prime factors of y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*d + 2*d + 4*d + (-d + 12*d - 2*d)*(0 + 0 + 3) + 24 - 14*d - 24)*(-d + d + 2*d**2).\nAnswer: 24*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1289 - 5185\/4. Let q = -55\/8 - m. Find the common denominator of 6\/(-345)*1110\/144 and q.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2908383 is divided by 2754?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/7, -4\/9, 1\/3, 0.57 in increasing order.\nAnswer: -4\/9, 2\/7, 1\/3, 0.57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(-11\/3)*v)**27*(v*v**6*v)\/v**(-1\/12))**(-2\/83) assuming v is positive.\nAnswer: v**(767\/498)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 440 and 7648360.\nAnswer: 84131960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -8170, -16415, -24736, -33127, -41582?\nAnswer: -50095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2057?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -545, -3165, -7655, -14021, -22269?\n\"Answer: -y**3 - 929*y**2 + 174*y + 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -14*l + 2. Suppose -4*g - 11 = w, 4*g + 1 = -2*w - 13. Suppose 17*k = -180 + 367. What is the remainder when t(g) is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 286863 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 13, 172, 20, 12, 3, -1 in decreasing order.\nAnswer: 172, 20, 13, 12, 3, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) be the third derivative of 0*u**3 - 2*u + 7\/180*u**6 - 11\/90*u**5 + 13*u**2 + 0 + 5\/36*u**4 - 1\/315*u**7. Factor p(y).\nAnswer: -2*y*(y - 5)*(y - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -18 divided by -5?\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -2, 5, 431 in ascending order.\nAnswer: -3, -2, 5, 431","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1\/6  (b) -3  (c) -0.3288\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -1\/385 and 7\/10.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 16 and 44884048.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26*w + 23*w - b = -20, -18 - 2 = w - 5*b for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(35)\/(-4*sqrt(20)).\nAnswer: -sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -596, 2\/3, -2\/9, -17, -1\/11, 0 in decreasing order.\nAnswer: 2\/3, 0, -1\/11, -2\/9, -17, -596","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -47 + 51. Suppose g - 16 = -5*m, 3*m - 6 = -b*g + 41. Let t = g - -3. Calculate the smallest common multiple of t and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: Factor -27699*s**2\/8 - 55351*s\/8 + 47\/4.\nAnswer: -(s + 2)*(27699*s - 47)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide 131165 by -131165.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {q: 2, h: 6, m: 2, e: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*t - 2*t**2 + 0*t)*(t**2 + 0*t**2 - 2*t**2) + (-2*t**2 + 2*t**2 - 3*t**2)*(-t**2 + 2*t**2 - 3*t**2) + (-5 + 57 + 42)*(0*t**4 + 2*t**4 + 0*t**4).\nAnswer: 196*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 66 and 5269?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1\/(-4) - 42\/(-8). Suppose 10 = -w*k, -j + 10 = -5*j + k. Let r = 12 - j. Solve -p - 4*p + r = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2350 or 2353?\nAnswer: 2353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -r**4*z + 217*r**4 - 27*r**2*z - r**2 - 9*r*z + 6*z wrt r.\nAnswer: -24*r*z + 5208*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9 - 9 + 6*o + 1 - 1 + 3*o + 0*o + 5*o - 4*o - o + 3*o - 3*o - 2 + 2 - 2*o + (1 + 2 - 1)*(-3*o - o + 2*o))*(-1 - 33 - 21).\nAnswer: -165*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12272*n**2 - 26275*n**2 + 7614*n**2.\nAnswer: -6389*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -2*p**2. Suppose 10*z - 166 = 324. Let h(a) = -z + 154 - 52 + 3*a - 51. What is d(h(c))?\nAnswer: -18*c**2 - 24*c - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide 729 by 67.\nAnswer: 729\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -v**2 - 22*v - 48. Let k be f(-15). Suppose -5*l + 51 = 3*m, 0 = -5*l - 10*m + 9*m + k. Calculate the smallest common multiple of 30 and l.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 4602765 to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -1*((-60)\/(-120) + 2 + (-11)\/6). What is the fourth smallest value in 0.4, 8\/17, q, -6, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 658199297 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 21*(-59)\/((-1652)\/(-24))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 402 - 395. Suppose -14*p = -13*p. Suppose -4*w - w = p. Solve w = -2*a + 4*t - j*t + 3, a + 18 = 5*t for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -b**2 - 11*b + 31. Let q be x(-13). What is the lowest common multiple of 7 and q\/((-75)\/10)*6\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 917*a - 1074*a - 5809 for a.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -787 - -787.00029857. Round x to 6 dps.\nAnswer: 0.000299","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = 2*m - 24. Give q(17).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 6 and 1084.\nAnswer: 3252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 + (-4 + 6 + -6 - (1 + -9))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 76\/570*(-189)\/18?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 28224 and 80?\nAnswer: 141120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -43*s - 11. Let w(u) = 21*u + 5. Calculate 4*i(v) + 9*w(v).\nAnswer: 17*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -10820122*c. Let x(m) = 2*m**2. Determine x(b(s)).\nAnswer: 234150080189768*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 10, 7636, -3, 0, -5, -10 in decreasing order.\nAnswer: 7636, 10, 0, -3, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -16*v**2. Let k(q) = 3*q + 11. Let n be k(-3). Let y(p) = p**2 + 13*p + 34. Let f be y(-10). Let t(m) = f*m - n*m + 0*m + 2*m. What is t(u(o))?\nAnswer: -64*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:50 AM and 1:21 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.3, -2\/9, -1\/11 in increasing order.\nAnswer: -2\/9, -1\/11, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -14\/5, -5\/2, 3\/2, 3.2725?\nAnswer: 3.2725","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a - 154 + 574 = 0. Let z(r) be the first derivative of -r**2\/2 + 6*r - 1. Let n be z(-6). Calculate the highest common divisor of n and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - 39406 = -2*t, -29535 = 2*j - 5*j + 5*t. What is the thousands digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m = -4*z - 1 + 3, 3*m + 2*z - 13 = 0. Let o(i) = -i + 2*i**2 + 5*i + i**3 - m - 7*i**2. What is o(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) be the first derivative of -127 + 1\/4*h**4 - h**3 + 0*h - 1\/2*h**2. Let g be 0 + 2 + 0 - 0. What is j(g)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 336 divide 425905536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*q = 2*i - 0*q + 14, 4*i - q - 17 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2022 is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_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: Let k be ((-4)\/10)\/(1\/5). Let z = -5594 - -5591. Sort 50, z, k in decreasing order.\nAnswer: 50, k, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 0 + r**2)*(-53*r - 31*r - 38*r - 4*r) to the form t*r + m*r**2 + u*r**3 + l and give u.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*a**4 + 48*a**2 - 48*a**2)*(0 + 0 - 1).\nAnswer: 7*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -b**3 - 21*b**2 + 10*b + 20. Calculate d(-6).\nAnswer: -580","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 178*v**2 + 18*v**2 + 81*v**2.\nAnswer: 277*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 9) to base 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1)\/(-3 - (-30)\/9). Let a(r) = 3*r**2 + 1. Let x be a(-1). Suppose 0 = x*i + 12 + 4. Which is bigger: i or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6807 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 6*u + 328 = 2*v, 5*v - 325 = -5*u. What are the prime factors of u?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.3  (b) -0.24  (c) 0  (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -292975*q - 293170*q + 586144*q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -57\/52 and 26\/(-4) + (-10)\/(-45).\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) be the first derivative of -4*s**5\/5 + s**4 + 4*s**3\/3 - 2*s**2 - 9. Determine f, given that a(f) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 22\/7518625 and -61\/39096850?\nAnswer: 195484250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 12757673 and 5212?\nAnswer: 1303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (38\/4*1)\/(54\/(-30)) and -145\/66.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + 3 + ((sqrt(150)\/sqrt(5))\/sqrt(3))\/(2*sqrt(405)) + 3.\nAnswer: sqrt(2)\/18 + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 481 minutes before 8:02 AM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(1 + (-1*sqrt(1377))**2*-3 + (sqrt(1377)*1*-2 + (sqrt(1377) - -1*sqrt(1377) - sqrt(1377)) + -4)**2).\nAnswer: -2737 + 72*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 16940 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 98 divided by -274\nAnswer: -49\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 10.8, -3\/5, -26, 0.1, 1\/3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -4781, -19268, -43413, -77216, -120677, -173796, -236573?\n\"Answer: -4829*p**2 + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 15, r: 4}. Give prob of picking 1 r and 2 s.\nAnswer: 140\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 19587269?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qiti when four letters picked without replacement from ltllqqqlliiqklzttqiq?\nAnswer: 3\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (6*sqrt(95)*3*-3)\/(sqrt(20)\/(sqrt(12)\/(sqrt(15)\/sqrt(5)))).\nAnswer: -54*sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 68 divide 1862942?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 8950 and 73032.\nAnswer: 1825800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 62048 * -59\nAnswer: -3660832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = s**2 - 6*s + 11. Let j be t(6). Let g(y) = 18*y**2 - 2*y - 7*y**2 + 13 + 14 - y**3. Let w be g(j). Solve 4*o = 2*o - x, w*x = 3*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 2, 0, 29, 14, -3 in ascending order.\nAnswer: -3, 0, 2, 3, 14, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-46)\/(-9) + ((-280)\/(-72) - 4). Suppose -3*j + 0*d + 12162 = r*d, -16190 = -4*j + 2*d. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 j and 1 p when three letters picked without replacement from {r: 1, h: 1, j: 7, p: 5}.\nAnswer: 15\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide -10966 by -2.\nAnswer: 5483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) be the first derivative of p**4\/4 + 2*p**3\/3 - 3*p**2 - 5*p - 37. Let j be m(-2). Solve z + 2 = j for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.7 * 164.\nAnswer: 278.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 - -0.127.\nAnswer: 4.127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 2*o = 18*t - 305180, -3*o = 3. What are the prime factors of t?\nAnswer: 2, 3, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from dddgddgg. Give prob of sequence ddgg.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5 - -7) + (-5 + 7 - -6) + 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -3 + 4 - 9 + 9. Let c(x) be the third derivative of x**4\/24 + x**3\/6 + 10*x**2 - 2. Let m = -4 + 1. Calculate m*a(d) + c(d).\nAnswer: d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (-82)\/170 - (2862\/(-265))\/18\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = j**2 - 6*j + 1. Let y(l) = 5*l - 5. Let u be y(-2). Let o be ((-18)\/u)\/1*5. What is the remainder when 3 is divided by i(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 365064 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express -20*j - 2 + 220*j**4 + 10*j + 4 - 2*j**3 + 12*j - 246*j**4 in the form a*j**3 + z + h*j + i*j**4 + x*j**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -773804304 + 332.2.\nAnswer: -773803971.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -6 + 13. Suppose 756 = f*v - 0*v. Calculate the highest common factor of 24 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1606 is divided by 161.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 97, -1, -7, 5, -9, -3 in ascending order.\nAnswer: -9, -7, -3, -1, 5, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 80\/(-100)*(-1)\/(-4)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 277*h*l**2 - 1180601*h - 2193*l**3 wrt l?\nAnswer: 554*h*l - 6579*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -104404554 (base 6) to base 8.\nAnswer: -7173666","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 190392.2 minus 3?\nAnswer: 190389.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - 8 = 0, 31 = -5*a - 4*k + 532. List the prime factors of a.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lp when two letters picked without replacement from cldffplplfp.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - 4*m = 28, -2*m - m = y - 7. What is the remainder when 45 is divided by y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 197407 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 672, 1349, 2026?\n\"Answer: 677*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = c - 1. Sort 1\/5, c, 0 in increasing order.\nAnswer: 0, 1\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7422.\nAnswer: 2, 3, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) be the second derivative of 2*s**6\/15 - s**5\/5 - 2*s**4\/3 + 11*s. Factor g(o).\nAnswer: 4*o**2*(o - 2)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*a + 2*a - 4. Suppose -h + 6*h = 3*g + 8, 12 = -a*h + 5*g. Is 5 smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 10 + (0 - 3) - -3. Let w be 4\/a + 36\/(-15). What is the hundreds digit of w + 109 + -4 + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*j + 644 = -6*j. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (d - 4*d + 8*d)*(-6*d + 4*d + 5*d + (-1 + 0 - 1)*(d - 4*d + 4*d))*(-2*d + 2 - 2).\nAnswer: -10*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (42\/28)\/((-9)\/(-42)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -31 - -35. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 332, 333, 334, 335, 336?\n\"Answer: y + 331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 28 a factor of 2250132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 69862?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 3 + 3)*(-2*x + 4*x + 0*x) + 1 + 2*x - 1 + (-1 - 4 + 3)*(-2*x + 3*x - 3*x) - 4*x + 6*x - 3*x - 6*x + 2*x + 2*x - x - 2*x + 4*x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.393908 rounded to 3 decimal places?\nAnswer: -0.394","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -408*r**3*v - 15879*r**3 - 2986*r*v - 3*r - 44*v + 1 wrt r?\nAnswer: -2448*r*v - 95274*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 3027.577 millilitres?\nAnswer: 3.027577","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -x**2 + 6*x + 2. Let j be v(6). Let d(o) = -8*o - 236. Let q be d(-31). Solve 2*z + j*z = q for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -21 + 26. Let m(i) = -i**3 - 11*i**2 - 10*i + 2. Let x be m(-10). Let o(p) = -p**2 + 4 + v - x - 4. What is o(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34*z - 35*z + 10 = 0. Calculate the remainder when 33 is divided by z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*l**2 + 6*l**2 - 3*l**2)*(0 - 1 - 1) + (301 + 3*l**2 - 301)*(2 + 0 - 3) + 5*l**2 + l + 0*l - 3*l.\nAnswer: 6*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n = 3*n - 8. Suppose n*b = b + 3. Suppose 0 = -3*m + b*c + 12, -4*c = m - c - 24. Calculate the remainder when 33 is divided by m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(1\/18))**(-16) assuming x is positive.\nAnswer: x**(-8\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let -18*v**3\/13 - 636*v**2\/13 - 5474*v\/13 - 13872\/13 = 0. Calculate v.\nAnswer: -24, -17\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -0.3 or 4\/23?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 2 - 5 - (115 - -2). Let l be ((-18)\/(-5))\/((-36)\/s). Suppose -4*u - 67 = -547. What is the highest common divisor of l and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 109\/60 and 5\/(-6) + (-182)\/(-210)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-45)\/60)\/(3\/4 - 1). Find i such that 8*i**4 - 10*i**2 + 4*i + 3*i**3 + 6*i**3 - 10*i**4 - i**s = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor p**2 + 292581*p - 18729280.\nAnswer: (p - 64)*(p + 292645)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 182648 and 14773.\nAnswer: 2009128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*b**3 - 426*b**2 - 1304*b + 1728.\nAnswer: 2*(b - 216)*(b - 1)*(b + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j + 5*k = 6*k + 124, -5*k - 10 = 0. Calculate the remainder when 221 is divided by j.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.7 * -34150.\nAnswer: -58055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 44 + -25. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 478872872 a multiple of 1235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express m**2 - 1 + 62*m**3 + 41*m + 2 - 43*m + 1 as n*m**3 + j + l*m + o*m**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 262*q*z**2 + 5*z**2 + 19*z wrt q?\nAnswer: 262*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 108964324?\nAnswer: 2, 7, 139, 27997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 1 x when two letters picked without replacement from xxxa.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + 14 = 3*b - 0*f, f - 1 = -2*b. Let g(d) be the first derivative of 11\/3*d**3 - b*d**2 - 18 + 0*d. Find the second derivative of g(m) wrt m.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -p**2 + 799*p - 14160. What is y(18)?\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -143 - -143.1. Which is the closest to 2\/7?  (a) 1  (b) v  (c) -1  (d) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -2*n**2 - 31*n - 60. Calculate the least common multiple of z(-12) and 280.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(612)*-3 + 5)*5 + -3 + -4 + 4*5*(1 + sqrt(612)))**2.\nAnswer: 2280*sqrt(17) + 16744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1020000 (base 3) in base 10?\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 48 - 50. Let c be (11\/(-385)*-10)\/(8\/14). Sort k, 3\/8, c, 11 in increasing order.\nAnswer: k, 3\/8, c, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 + -14 - (-1 + 4 - -5)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4\/3, -1, -2, -0.07, -3548.\nAnswer: -3548, -2, -1, -0.07, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 52\/(-40)*1250\/156000\nAnswer: -1\/96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-18)\/(-18))\/((18\/9)\/(-12)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -833*f - 2659. What is the hundreds digit of y(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 43\/981 and -32\/145733.\nAnswer: 1311597","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 31.0525m in micrometers?\nAnswer: 31052500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*m - 3*p - 14, m = 2*p + 2 - 10. Let q = m - -9. Factor 28\/3*y**3 + 2\/3*y**q + 4\/3 + 32\/3*y**2 + 4*y**4 + 6*y.\nAnswer: 2*(y + 1)**4*(y + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1229*g**2*j**3 - g**2*j**2*s**3 - g**2*j**2 - 413*g**2*s**3 + 3*g*s**3 - 8*j**3*s**3 wrt j?\nAnswer: -7374*g**2 - 48*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 5*t - 30. Calculate the remainder when 23 is divided by k(9).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is b55 (base 16) in base 7?\nAnswer: 11313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8\/6*4\/160)\/((-15)\/60).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 679 minutes before 12:36 AM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 156 = 3*g + 12. Suppose 0 = -12*t + g. Suppose -i = t - 12. Which is smaller: 31\/4 or i?\nAnswer: 31\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 127 minutes after 10:38 PM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z*z*z*z\/((z*z**3)\/z)*z*z*(z*z*z\/z**(3\/7)*z)\/z*z)**29*((z**0*z)\/((z**(-3\/7)\/z)\/z))\/(z**(-2\/3)\/z**(-2\/11)) assuming z is positive.\nAnswer: z**(7375\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 55 a factor of 1810435?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -19324, -154773, -522460, -1238503, -2419020, -4180129?\nAnswer: -6637948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3065414 and 363.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = 2*x - 2. Let o be w(2). Let c be (o - (3 - 2)) + 0. What is the units digit of c\/5 + (-216)\/(-20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1426?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 15, z: 3}. What is prob of sequence mzm?\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**(-12)\/x)\/(x\/(x**(-1\/10)*x*x)))\/(x**11)**(-4\/9) assuming x is positive.\nAnswer: x**(-649\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in -0.2, -10, 3, 4\/5, -0.1, 49?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2621145*f**3*s**2 + 71878*f**2 - 2*s**2 wrt f.\nAnswer: -15726870*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 7 - (59 - -1 - (-10 + (6 - 23) + 23))\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 63408278 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -4101, 71, -3 in descending order.\nAnswer: 71, 5, -3, -4101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -114 - -56. Let u = n + 54. Sort u, 4, -0.4 in descending order.\nAnswer: 4, -0.4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 7550278 + -1102278. What is x rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x + 14 = 4*a, 0*a = -4*a - 4*x - 4. Let w = -487 - -1020. Suppose -4*h + 5*j + 1071 = 0, 2*h - 3*j - a*j = w. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -r**3 - 3000*r**2 + 18043*r - 43. Calculate s(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 164 - 76. Suppose 242 = f - w. Suppose r - f = -4*r + 2*i, 2*i = -2*r + 146. List the prime factors of r.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2\/(-4)*8\/6. Let k be 3\/5 - (7 - 7). Which is the closest to -1\/4?  (a) d  (b) 0.1  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - 3*r - 1 = 0. Suppose -2*f + 3 = r. What is the units digit of f - 0*2\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q + 18 = u, 5*u - 2*q - 3*q = 85. Calculate the remainder when 111 is divided by u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from quoufooiff. What is prob of sequence fifo?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 332841989 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.0688 != -136?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 5*j**4 - 11*j**3 + j**2 - j + 6. Let r(f) = -10*f**4 + 23*f**3 - 3*f**2 + 3*f - 13. Let u(y) = 13*b(y) + 6*r(y). Let u(d) = 0. Calculate d.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 33 minutes after 3:35 PM?\nAnswer: 4:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = 17*u + 241. Let d(m) = 8*m + 122. Give -7*d(x) + 3*n(x).\nAnswer: -5*x - 131","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 31865877813.491806273 - 52.491806273. Let i = t - 31865877942.00000099. Let s = i - -181. What is s rounded to 7 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (0 - 0) + 7\/(7\/94) is divided by 48.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4754?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 - 2*b**2 + 3)*(824 + 88*b - 824) to the form p*b**3 + c + j*b + n*b**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 21*a**2*k**3 - 28*a**2*k**2 - 462*a**2*k - a**2 + a*k + 1607995*k**3 wrt a?\nAnswer: 42*k**3 - 56*k**2 - 924*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(288) + sqrt(288) + -2)**2 - (0 + sqrt(72))**2) + -4.\nAnswer: -96*sqrt(2) + 1080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 33 - 15. Let b = h - 8. Is 1\/3*990\/b a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -44 + 12 - ((-8 - -5) + -7)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:11 PM and 9:57 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express -108518269*y + 26*y**2 + 108518269*y - 2*y**3 + 78 in the form q*y**3 + n*y**2 + u + d*y and give n.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 12089576 divided by 4?\nAnswer: 3022394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) be the second derivative of 11*t**5\/10 - 5*t**3\/6 + 3*t**2 - 2*t - 3. Calculate the remainder when n(2) is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 258614, 258602, 258592, 258584, 258578?\nAnswer: 258574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.05856 rounded to 3 decimal places?\nAnswer: 1.059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -131602 (base 10) in base 4?\nAnswer: -200020102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*x**2 + 453*x - 22293 - 220*x + 74*x - 5087 + 433*x.\nAnswer: -5*(x - 74)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 1011?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 130 divide 84630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2.2 + 1.75. Let s = q + -0.05. What is the closest to 0 in 2\/7, 2, s?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1462949203.\nAnswer: 653, 2240351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(352) + (sqrt(352) - (-2*sqrt(352) + sqrt(352))))*2)\/(2*sqrt(968)).\nAnswer: 6*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -4*p - 39. Let f be l(-11). Suppose 3*h - 5*j + 23 = 0, f*h + j = -j - 28. Let d be 3\/4*(h - -14) + -4. Solve d*o = 3*o - 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b, 1 n, and 1 t when three letters picked without replacement from tkzfbzkfn.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 10, 3, -32, -113, -258, -485, -812, -1257?\n\"Answer: -3*o**3 + 4*o**2 + 2*o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 418 and 88.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/34*18\/9?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1399 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -2 + 1 + 54 + 5 - (530 - 512)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from mmmmmmeememmmmemme?\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c - c = -34513724. Suppose -c - 7856832 = k. Let l = k - -32385263. What is l rounded to the nearest one million?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 + 3 + 4 + (-98 - -85).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1689 - -1979. Is n a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + (2 - 3) - 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -k**3 + 21*k**2 - 12*k + 722. What is x(22)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-7)\/8*((-288)\/(-126))\/8.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -53*k + 4*d = -51*k - 8, k = -2*d - 4. Let q = 0 - -2. Solve k = 4*w + 5*j - 22, q*j = 2*w + 4*j - 10 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2709.89mm to centimeters.\nAnswer: 270.989","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) be the first derivative of -z**4\/2 + 6*z**3 - 15*z**2 + 14*z - 4. Factor p(f).\nAnswer: -2*(f - 7)*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 6, -3, -4 in decreasing order.\nAnswer: 6, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*a - 363 = -t - 21*a, -4*a = 4*t - 1500. Is 4 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 119 and -71251.\nAnswer: -71132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 393912 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) be the third derivative of -y**7\/840 - y**6\/120 + y**5\/120 + y**4\/8 - 3*y**3\/8 + 5*y**2. Solve c(w) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 162 and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 11 + -7. Let p = -9\/14 - -1\/2. Put 1\/2, p, j in decreasing order.\nAnswer: j, 1\/2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -x**3 - 4*x**2 - 7. Let r be k(-5). Let l = -2 + r. Let t(j) = -1 - 11*j + 1 + l*j. Let o(i) = i**2. Give o(t(c)).\nAnswer: 25*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 660 minutes before 3:17 AM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Determine d so that 16*d**5\/15 - 218*d**4\/5 + 4142*d**3\/15 + 176*d**2\/5 = 0.\nAnswer: -1\/8, 0, 8, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 833 (base 10) to base 5.\nAnswer: 11313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 277 minutes after 8:35 PM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 109*y**2 - 1354*y - 396666 wrt y.\nAnswer: 218*y - 1354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -23 (base 12) to base 9\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2520)\/(-21))\/30*(-48)\/6?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.01  (b) -4  (c) 37.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3259, 2843, 2145, 1159, -121, -1701, -3587, -5785?\nAnswer: -8301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Let z = -52948.55419 + 52949. What is z rounded to 3 decimal places?\nAnswer: 0.446","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-173)\/(-135)*(-8619)\/26. Let z = f - -2136\/5. Find the common denominator of z and -97\/22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 171 + 72 = 0. Suppose 77*d - 12 = y*d. Let f be 2\/2*14\/77. Sort d, f, 0.1 in descending order.\nAnswer: f, 0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*f - 7*f - u = 9, 3*u + 3 = 0. Sort 4, f, 52.\nAnswer: f, 4, 52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 8*x**3 - 2 + 4*x + x - 2*x - 5*x as d*x**2 + z*x**3 + q + i*x and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 560*w + 12334 = -64*w - 33*w - 27743 for w.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 436 and 52538.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -g**2 - 7*g - 8. Let d be w(-5). Suppose 3*c + 3*v = 4 + 47, -d*c = -3*v - 14. Calculate the least common multiple of c and 11.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -x**3 - 4*x**2 + 2*x - 5. What is the tens digit of n(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 33135 + (18 + 1 - 20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 658 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*t - 4*t + 4*t)*(-5 + 3 + 3)*(-24 - 50 - 4)*(2 + 2 - 3).\nAnswer: -312*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 103210 - 11342?\nAnswer: 51424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -824, 1\/4, -4, -3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:53 AM and 2:59 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:27 PM and 4:28 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in a + 5*a + 16*a.\nAnswer: 22*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -358*x**2 - 4653*x + 7. Calculate b(-13).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -16040872 or -16040864?\nAnswer: -16040872","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 29\/111 and 7\/8313?\nAnswer: 307581","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 7, m: 1, g: 4, b: 1}. Give prob of sequence gmgg.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 110 (base 3) to base 4\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -64*i + 69*i - z - 37, 0 = -3*i - 2*z + 17. Solve 3*f + 8*p + i = 3*p, -4*p - 10 = -2*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/k**(-1\/7))\/(k**0\/k))\/(k**8\/(k\/k**(-1\/25))) assuming k is positive.\nAnswer: k**(-843\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1\/6  (b) 2\/95  (c) 1\/282  (d) -2\/39  (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2)\/(-4) - 15\/(-2). Let a(j) = 12*j**3 + 15*j**2 + 12*j - 18. Let m be a(-5). Let q be (m\/3 + 1)*44\/p. What is q rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20\/9*v + 4\/9*v**3 - 16\/9*v**2 - 8\/9 = 0 for v.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.0685 smaller than 0.017856?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -4545 divided by -5\nAnswer: 909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -55, -65, -87, -127, -191, -285?\nAnswer: -415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 15 + 33 = 0. What is the greatest common divisor of 2 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 11793185\/108 + -109197. Find the common denominator of -43\/108 and k.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 3 + 3 - 4 + 7 + 1 + (-1 + 5 - 2)*(1 - 1 + 1))*(-2*y**2 + 2*y**2 - y**2).\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = f**3 - 5*f**2 + 4*f. Let l be s(4). Suppose l*t - 590 = -2*t. Differentiate 295*n**2 - t*n**2 - 4 - 13*n**4 wrt n.\nAnswer: -52*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pppp when four letters picked without replacement from ppddpdpdddppdppddp?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/7 - ((-888)\/84 + 11)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - a - 6 = 3, 5*y = 2*a + 12. Suppose 0 = y*z - 54 + 8. Let k(c) = c**2 + 2*c - 4. Calculate the remainder when k(-8) is divided by z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*d**4 - 596*d**3*v**2 + 18*d**2 + 190*d*v**2 + 2*d*v + 666*v wrt d.\nAnswer: -36*d**2 - 3576*d*v**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 98312?\nAnswer: 2, 12289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -65 - (-8 - -7)*(2 - 2). What is the tens digit of u\/195 + (-4286)\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - 9 = -3*z, -11*m + 12*m - z + 3 = 0. Let q = 1\/17 - 41\/119. What is the nearest to m in 7, q, 0.4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 2*o**3 - o**2 - 119*o - 7. Let q be a(0). Let f(r) = 10*r**2 - 4*r + 6. Let p(d) = -9*d**2 + 4*d - 5. What is q*p(b) - 6*f(b)?\nAnswer: 3*b**2 - 4*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -10 + (-5)\/((-225)\/486). What is the fourth smallest value in u, -1, 6, -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -15.42?  (a) 1\/2  (b) -1.3  (c) -3\/7  (d) 3  (e) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0*o**5 - 18*o**4 + 27*o + 1615*o**2 - 24*o**3 - 3*o**5 - 1609*o**2 + 12.\nAnswer: -3*(o - 1)*(o + 1)**3*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:04 PM and 6:15 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -101 + -2300?\nAnswer: -3001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-six fifths of a decade in years?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of v**2*y**3 - v**2*y - 325*v**2 - 4224*v*y**2 + v*y + 32*v + 3*y**3 + 2*y**2 + 1 wrt y?\nAnswer: 6*v**2*y - 8448*v + 18*y + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 639 minutes after 6:13 AM?\nAnswer: 4:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -1\/3, 65, 857?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(1\/4)*a\/(a*a**(-3\/11)*a)*a)**20 assuming a is positive.\nAnswer: a**(115\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 404285 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 7217, 7210, 7203, 7196, 7189, 7182?\nAnswer: 7175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + -4 + sqrt(171))**2 + 2.\nAnswer: -12*sqrt(19) + 177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 766*s**2 - 5877*s + 25. Calculate k(8).\nAnswer: 2033","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out -448115 + -0.3.\nAnswer: -448115.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*p - 131 - 97 = 0. Suppose 3*r - p = 103. What is the remainder when r is divided by (-76)\/(-6) - (-4)\/(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of g**3 - 7638242*g + 1418*g**2 + 74*g**4 + 7638242*g wrt g?\nAnswer: 1776*g + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or -6\/437?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 540 and 386640.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -231 - -2081\/9. Let u = 0.37 - -0.03. Let w = 0.66 - 0.16. What is the nearest to 2 in y, w, u?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) be the first derivative of -m**2\/2 + 42*m + 34. What is the remainder when w(25) is divided by 1\/((-2)\/(-4)) + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -t. Let p(a) = -3913*a**2 + 208. Calculate g(p(q)).\nAnswer: 3913*q**2 - 208","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) be the third derivative of -3*y - y**2 + 0*y**5 + 0 + 1\/105*y**7 + 0*y**4 + 1\/60*y**6 + 0*y**3. Solve w(x) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*q = -28 + 22 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (4 - 8\/2) + 4. Suppose -4*a - 11 = y*c - 5*c, 2*a + 10 = 2*c. Suppose -c - 3 = -x. What is the least common multiple of 13 and x?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o = 24, 3*c + 3*o - 23640 - 2259 = 0. What are the prime factors of c?\nAnswer: 8627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 12, 33, 56, 81, 108, 137?\n\"Answer: s**2 + 18*s - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t - 8 = -12. Suppose 5*f = n - 0*n - 24, t*f + 9 = n. Sort 1, 0.4, -3, n in ascending order.\nAnswer: -3, n, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q - 3*q - l - 71 = 0, -315 = -5*q - 5*l. Let c = q + -52. What is the remainder when c is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = 3*k - 5. Calculate the remainder when -2 + 3 + 0 + 35 is divided by a(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 505*b + 5 - 3 + 759*b + 143*b.\nAnswer: 1407*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2128*w + 13544 = 77*w - 2276 - 48125 for w.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3 - -38. Is 0.2 >= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2137, -4244, -6317, -8350, -10337, -12272, -14149?\nAnswer: -15962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put together -275923.6 and 2.\nAnswer: -275921.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f**4 + 1422*f**3 + 489825*f**2 - 234735600*f - 235224000 = 0 for f.\nAnswer: -405, -1, 440","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 217401350 and 20?\nAnswer: 434802700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -7 + 16. Suppose 2*p + 8 = 2*c, 2*p + 3 = 2*c - c. Suppose 0 = 5*j - 14 - p. Calculate the greatest common factor of d and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -6872 - -8773. Is 5 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**5*y)**(-3\/8)\/((y**(7\/4)\/y)\/y*y**(1\/2)))**11 assuming y is positive.\nAnswer: y**(-55\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3\/8035 in 83, -2, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -6 + -6*-2*1\/4. Let s(b) = b**3 + 5*b**2 + 6*b + 5. Let r be s(t). Solve -2*n = 5*m - 9, m + r*n + 18 = 2*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 121\/229948794 and -133\/108492?\nAnswer: 459897588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1264*a + 27473 + 20559 = 0 for a.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -342.000041 + 342. Round y to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 5 + 3 + -4 + 0. Suppose a - 5*k + 6 + 9 = 0, 20 = h*k. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 15154 or -4546?\nAnswer: -4546","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/3?  (a) 5\/3  (b) -1  (c) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.4*-1636.58.\nAnswer: -2291.212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -44 at most as big as -44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -5330 - -7904. What is the greatest common factor of 26 and l?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 729*s - 732*s = -4740000. Round s to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*u**3 + 25560*u**2 + 76645*u + 51090.\nAnswer: 5*(u + 1)*(u + 2)*(u + 5109)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*v**2 - 51 - v**2 + 6*v**2 - 6*v**2.\nAnswer: 2*v**2 - 51","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v + 4*n = 2*n + 41, -n - 29 = -3*v. Suppose -4*t = -t - v. Suppose d = t*d - 58. What are the prime factors of d?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -149\/12 and 97\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 3 + (0 - -1 - 3) + 2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -70 = -3*c + 11. What is the greatest common divisor of c and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 849, -66 in ascending order.\nAnswer: -66, 5, 849","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -61, 1134, -60 in ascending order.\nAnswer: -61, -60, 1, 1134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4163429.\nAnswer: 4163429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c - 3*l = -21, 2*c - 5*c = -4*l - 24. Let k(m) = -4*m**2 + 4*m - 2. Let f be k(2). Let o = f + c. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:05 AM and 2:49 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -f + 1. Let s(r) = 2*r**2 + 6*r - 6. Let z(q) = 6*o(q) + s(q). Let l(c) = c**2. Determine z(l(j)).\nAnswer: 2*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*b**4*l - 19592*b**2 + b + 15551*l wrt b?\nAnswer: 8*b**3*l - 39184*b + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 8) to base 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -48*f**3 - 3*f + 6*f - 3*f.\nAnswer: -48*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(-2\/9)*t)\/(t\/(t**(-2\/11)*t)*t)*(t*t**(2\/9)\/t)\/t**(-2\/7))**13 assuming t is positive.\nAnswer: t**(104\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*b = -5*s + 3 - 2 + 2, 4*s + 0*s - 11 = -3*b for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 15.31 - -0.69. Which is the biggest value?  (a) 1\/3  (b) n  (c) -5.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = 37*c**4 + 3*c**3 + 3*c**2 - c - 42. Let s(i) = 36*i**4 + 4*i**3 + 4*i**2 - 2*i - 41. Let b(d) = -4*l(d) + 3*s(d). Differentiate b(r) wrt r.\nAnswer: -160*r**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 9273, 7382, 2249, -7746, -24223?\nAnswer: -48802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z - 270 = 2*z. Suppose 194 + 106 = 4*a + 5*u, -a = -3*u - 58. Let o = a + z. Solve 3*s = -s + o for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -106 + 106.2. Let a(g) = 0*g**2 + 3*g**2 - 3*g + 5 - g**2 - 3*g**2. Let z be a(-4). Is c at least as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is 697 minutes before 1:50 AM?\nAnswer: 2:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 40690 - 8258. Is d a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 4 = 4. Suppose 3*z - v*u - 33 = 0, 2*z - 7 = 5*u + 8. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2232.01 + 2232. What is the fourth biggest value in y, -1\/10, 1\/6, 1?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 4 + 12*c**4 - 3 + 2*c**2 + 1 - 10*c + 8*c - c**3 as d*c**4 + w*c**3 + g + i*c + k*c**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.6 in 14, -6, -2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 17 - 22. Let w be (4\/(-3))\/(s\/(-30)). Let o be (1 + 0)\/(-5 - w). What is the nearest to 0 in -4\/5, 2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1019 + -706. What are the prime factors of c?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 1 k when two letters picked without replacement from vwkvwd?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 23305 - 2?\nAnswer: 23303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -17*(-32)\/(-256)*24*1.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put together 7341528 and -89358585.\nAnswer: -82017057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -u**2 + u - 1. Let s(a) = -a**3 + 4*a**2 - 3*a + 10. Let l(h) = -4*b(h) - s(h). Let m be l(0). Let f be (2 + -2)*3\/m. Solve -4*c - 4 + 0 = f for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 4, -1, 0, -957?\nAnswer: -957","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -156 divided by -2?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9 + 11*o**2 + 33*o**2 + 6*o - 2*o - 2*o**2.\nAnswer: 42*o**2 + 4*o - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 140 and 680.\nAnswer: 4760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5 + -7 - -9)\/(3\/(-2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*o**3 - o**3 + 4*o**3)*(-o - 5 + 5 + (-5 - 2 + 20)*(0*o - o - o)).\nAnswer: -27*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = u - 27. Let g(x) = 1. Let k(t) = -g(t) - l(t). Let j be k(25). What is the smallest value in j, -1\/7, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1152*i**2*y**5 + 4516*i**2*y - 10*i**2 + 975*y**3 + 7*y wrt y.\nAnswer: 23040*i**2*y**3 + 5850*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (16 + -23 - 5) + 26 + -10 - -86\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -35\/6907 and 25\/4.\nAnswer: 27628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 83088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 2863303 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 8 = -3*m + 3*t, 0 = -5*m + 4*t + 8. Let b = m + 12. Let v = b - 0. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -45*y**3 - 132*y**3 - 33*y**3 - 51074*y**4 - y**2 + 51073*y**4 + 3 - 2*y + 29*y**3 to b*y**4 + c*y + w*y**2 + m + j*y**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/15 in 2, -3, 11633\/4, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -3*x + 1. Let r be f(3). Let j be 2\/(-8) - 90\/r. Let g = -8 + j. Solve g*m - 20 = -2*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 613.5202 - -0.17783\nAnswer: 613.69803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: Let p = -5 - -26. Let l(i) = 129*i - 4492. Let y be l(35). Which is smaller: p or y?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = u. Let s(x) = 2*x**2 + 2*x + 228. Calculate z(s(m)).\nAnswer: 2*m**2 + 2*m + 228","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert -224 (base 15) to base 6.\nAnswer: -2124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve b + 72 - 73 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100111010 - -1?\nAnswer: 100111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (70\/21 - 4)\/(-11 - -9).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 19 - 14. Solve -4*b = -n*f + 2 - 1, 5*f = 3*b + 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 360 - 1?\nAnswer: 35c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*t**2 + 11*t**2 + 5*t**3 - 7*t**2.\nAnswer: 5*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) be the first derivative of -33\/2*c**2 + 217 + 0*c + 26\/5*c**5 + 5\/6*c**6 + 0*c**4 + 0*c**3. Find the second derivative of f(b) wrt b.\nAnswer: 100*b**3 + 312*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 5070 and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0 from 108518.\nAnswer: 108518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.43 plus -348?\nAnswer: -348.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -o + 4. Let u(b) = -38*b - 5. Let x(n) = -7*n - 1. Let t(r) = 2*u(r) - 11*x(r). Give -3*s(k) + 12*t(k).\nAnswer: 15*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 4}. Give prob of sequence bbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.238943*-2.7.\nAnswer: -3.3451461","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*g + 3*g**2 + 6*g)*(-9*g**2 + 46*g - 46*g) - 2 + 4*g - 5*g - 2*g**4 + 0*g**4.\nAnswer: -29*g**4 - g - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 47\/7?  (a) -0.4  (b) -2  (c) 0.4  (d) 23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Do -680 and -680 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4901018569 plus 79?\nAnswer: 78.5098981431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 17 - 671?\nAnswer: -654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -660 = -5*k + 4*q + 79, -1 = q. Suppose 0 = -3*z + 378 - k. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -55 - -75. Solve h + 3*h - n = x, -4*n - 4 = 3*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = v + 5. Let c be g(-3). Let o = -5 + c. Which is smaller: o or -3\/2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 5*i = -o + 6, -4*o + 74 = -2*i. Let q be 6\/(-3) - (-90)\/4. Let z = q - o. Which is the closest to z?  (a) 0.3  (b) 0.1  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1485 by 787.\nAnswer: 1485\/787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1097587 - 0.38.\nAnswer: -1097587.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3312?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 127 + -25020\/197. Let p = u - 387\/1379. Let k = -4.9 - 0.1. What is the nearest to 0.1 in k, p, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -2c + 29825?\nAnswer: 297c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 4681459 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 70\/15 + -1 + -3 + 0.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 - 4 = -o. Let d(g) = -g**2 + 7*g - 4. Let q be d(o). Suppose -2*y + p = -63, q*y + 34 = -p + 91. Solve -5*b - 45 = 5*w, -b + y = -5*w - 3*b for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2827 = -397*l + 2334 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 303*b**2*g**3 - 2*b**2*g - 14*b**2 + b*g**4 + 7*b*g - 4 wrt g?\nAnswer: 1818*b**2*g + 12*b*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 21937 is divided by 731?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 12903 and 1986501?\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 19 + -9. Solve 4*i + h = 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 465809 (base 10) to base 13\nAnswer: 134036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -2*h - 2. Let j(p) be the second derivative of 0*p**4 + 1\/20*p**5 + 1\/3*p**3 + 0*p**h + 0 - 3*p. What is the second derivative of j(x) wrt x?\nAnswer: 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 407 by -4.\nAnswer: -407\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = v - 3*v - v. Let k(l) be the first derivative of -l**5\/30 + 12*l**2 - 2. Let i(p) be the second derivative of k(p). Give i(z(y)).\nAnswer: -18*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -22*z**2 + 14*z - 21. Let u(a) = 34*a**2 - 15*a + 23. What is 3*s(r) + 2*u(r)?\nAnswer: 2*r**2 + 12*r - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 484 + -485. Let a(t) = -2*t**3 - 2*t**2 + 1. Let f be a(b). Sort f, 26, -5 in decreasing order.\nAnswer: 26, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 206655 equal to 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 48264506.\nAnswer: 2, 1009, 23917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (f + 6*f - 3*f)*(10*f - 3 + 1 - 7*f).\nAnswer: 12*f**2 - 8*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 25485764 divided by -2.\nAnswer: -12742882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 7\/40 - -1\/40. Sort l, 0, -0.02.\nAnswer: -0.02, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -335.11 - -334.61. What is the closest to -1 in u, 0, -184, 0.07?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-52)\/806 + 160\/558 + (-7)\/(-9). What is the biggest value in a, -2, -5, -26?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -11*c - 11. Let f(t) = 22*t + 21. Let q(l) = -3*f(l) - 5*j(l). Let s(u) = -7*u - 5. What is 5*q(m) - 8*s(m)?\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1 - -1. Let p(s) = s - 7. Let k be p(10). What is the biggest value in k, -2, g?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 1\/8 and 18\/1111363.\nAnswer: 8890904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17 - 25112*p - 27 + 12.\nAnswer: -25112*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.02 from -17.5.\nAnswer: -17.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -r**2 - 5*r + 4. Let v be a(-6). Let j(h) = 5*h**3 - h**2 + 1. Let t be j(1). Let b = v + t. Solve -8 = p - b*i + 6*i, 0 = p - i for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 608\/(-12600) - ((-7068)\/3591)\/(-62).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 149 minutes before 2:14 AM?\nAnswer: 11:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 27 in -2\/5, 9\/7, 432?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 0, -47, -142, -291, -500, -775?\n\"Answer: -w**3 - 18*w**2 + 14*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q - 9 = 7*k, 7*q = 2*k + 11*q + 12. Solve -4*l - 2*z + 7*z - 18 = k, 4*l = 3*z - 14 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-13*j + 13*j - 2*j**2)*((4 - 2*j - 4)*(-2*j - 5*j - j) + j**2 + 3*j**2 - 8*j**2).\nAnswer: -24*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 288 and 17792?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 4*v**3 - v**2 + 1. Let l(m) = -m**2 - m. Let t(b) = -b**3 - 2*b**2 - 3*b + 1. Let h(c) = 3*l(c) - t(c). Calculate a(j) - h(j).\nAnswer: 3*j**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -4*s**2 - 2*s - 2. Let u(x) = -2*x**2 + 32*x - 2. Let m be u(16). Let l(w) = 10*w - 6 + 18 + 17*w + 15 + 51*w**2. Determine m*l(k) - 27*g(k).\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 374 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 49*p**4 - 2*p**3 - 23.\nAnswer: 196*p**3 - 6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 37\/180 and 151\/720.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -4*u + 32. Let x be k(8). Suppose x = j + 2*r - 399, -3*r = j + 2*j - 1191. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*m - 2*m**2 + 0*m + (-6 + 1 + 4)*(m**2 + 3*m - 3*m) - 125*m**2 + 12*m**2 - 107*m**2.\nAnswer: -223*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (1 + 1 + -6)*6\/28. Which is the closest to -0.3?  (a) n  (b) -3  (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 38736317 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lffc when four letters picked without replacement from {c: 2, f: 2, l: 7}?\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ojottootott. What is prob of sequence jot?\nAnswer: 5\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh biggest value?  (a) 2\/23  (b) 2\/7  (c) 7  (d) 3  (e) -4  (f) -3\/5  (g) -2\/309\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express 362*i**2 + 1059*i**2 - 4506*i**2 + 609*i**2 - 4136*i**2 as s*i**2 + t*i + v and give s.\nAnswer: -6612","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*g + 11478446 = -52*g + 11475800 for g.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -42448*g - 45 = -11*i + 9*i - 42457*g, 2*g = -5*i + 10 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 281, 380, 479?\nAnswer: 578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 800 = 18*y - 473 + 1579 for y.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3\/2 + -2. Let r = -151\/2 + 76. Sort 3, b, r in decreasing order.\nAnswer: 3, r, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -13, 137, 5, 7, -26, -4 in decreasing order.\nAnswer: 137, 7, 5, -4, -13, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 18837 a multiple of 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -24*y - 16. What is n(6)?\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*j - 314 = -3*h, 0 = -4*j + 5*h - 55 + 221. Calculate the highest common factor of j and 1430.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 161107464, 322214928, 483322392, 644429856?\n\"Answer: 161107464*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 742*u - 2586*u + 723*u + 1119*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*p**2 + 210132*p - 259737 wrt p.\nAnswer: -4*p + 210132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -49*o**3 + 2*o**2 - 2*o + 1. Determine h(1).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 95 or 4691?\nAnswer: 95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c - 2*d - 1 + 3 = 0, -5*d = -2*c + 17 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 10 - -4. Let m = -14.5 + q. What is the closest to 2\/7 in 5, 2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 60*k**4 - 5*k**3 - 60*k**2 + 5*k.\nAnswer: 5*k*(k - 1)*(k + 1)*(12*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in 0.3, -2\/7, -27, 1.3?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 37324177?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -145 - -170. Suppose -162454 = n*o - 14454. What is o rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*w**2 - w**2 + 6*w**2 + (w**2 + 2*w**2 - 11*w**2)*(-5 + 2 + 5))*(-11 + 11 + 6*w**2).\nAnswer: -90*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = x + 1. Let i be u(3). Let z = 19 + -29. Let t be (z\/(-8))\/((-1)\/i). Which is the second biggest value?  (a) 2  (b) t  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 49500 to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) be the first derivative of -3*w**4\/4 - w**3\/3 + 7*w**2\/2 - 8*w + 13. Let a be o(3). Let k = 90 + a. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1 - -1)\/(1 - -1). Let y be 1*(h + -2)*-5. Suppose 4*t - y = -2. Are 3 and t nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -982213 or -982239?\nAnswer: -982213","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 21 - 24 - -2*1. Let c = b + 15. Suppose p = 6*p + h - c, p - 7 = 4*h. Solve 0 = -4*j + 3*q - 8*q, 0 = -p*q for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty sevenths of a week in days?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 10}. What is prob of picking 4 v?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -63*g - 126. Give s(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from {h: 10, n: 10}?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 9627 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -r - 11. Let x(u) = -1. Let q = 7 - 6. Let p(t) = q*k(t) - 5*x(t). Give p(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10534827.\nAnswer: 3, 41, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -8*a**2 + 3*a + 634. What are the prime factors of n(0)?\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 167466 and 627.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3*(-75)\/9*((-21 - 23) + 45).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zfzuqqffzuiiufui. What is prob of sequence zf?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 15  (b) 8  (c) -1\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.76 and -15054?\nAnswer: 15053.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -h**2. Let g(m) = 11*m - 3. What is k(g(u))?\nAnswer: -121*u**2 + 66*u - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 7*z**2 + 11*z + 4. Let x(l) = -3*l**2 - 5*l - 2. Suppose -2*f - 52 = -p + 25, 5*p - 363 = -f. Suppose 2*d = -p + 99. What is d*x(y) + 6*u(y)?\nAnswer: 3*y**2 + y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 18293203 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*q, 5*v + 3*q - 8*q - 25 = 0. Suppose v = -w, w + 11 = g - 35. Let h = g - -2. Calculate the remainder when h is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -b**3 - 14*b**2 + 15*b + 4. Let r be f(-15). Let x(q) = 5*q**2 + r*q**2 - 4*q**2 - 3*q**2. Let k(h) = h. What is x(k(t))?\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 111 - 110 - ((-10 - -13) + (0 - -2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-41)\/410*(-5)\/3.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = g**2 + 6*g + 7. Let q be h(-5). Let l be (q - 2) + 2\/(-6). Is 0.3 >= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 278548776 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of g**3*v**4 + 514*g**3*v**2 + 90*g**3 + g**2 - 626978*g*v**3 wrt v?\nAnswer: 24*g**3*v - 3761868*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (3\/9)\/(7*7\/372351) - 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 52*w - 83053 = -81649 for w.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*i + 1960 = 22*i. Let b be (-36)\/i - 5\/(-25)*2. Sort b, -0.4, 15, 5.\nAnswer: -0.4, b, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 54 - 54. Let r be b - ((-6 - -4) + 6\/2). Let u(m) = -17*m**2 - m - 1. What is u(r)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in five quarters of a milligram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 4\/(-6) + 70\/15*1. Suppose 20 = -0*w + t*w. Suppose -2988 = -w*y + 1907. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -7*q + 177. Let h be f(25). Solve 3*b = 3*r + 24, -4*b + 37 = -3*r - h*r for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 0 and 29\/29485 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 4 + 3*x)*(-614*x - 53*x + 791*x + 1469*x + 4366*x).\nAnswer: 17877*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-987)\/(-7)*((-800)\/24 + 33)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 39 + -43. Which is the second smallest value?  (a) -6  (b) 3\/5  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 162, 419, 706, 1023, 1370, 1747?\nAnswer: 2154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = t**3 + 10*t**2 + 7*t - 8. Let g be p(-10). Find the common denominator of g\/(-4) + 1\/3 and 53\/10 - (-1)\/(-4).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 6 and -82731.\nAnswer: -82725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 516 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -2*t**2. Let g(q) = -268*q. What is z(g(b))?\nAnswer: -143648*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 56\/(-12)*15\/(-40).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 182225432, 182225439, 182225456, 182225489, 182225544, 182225627, 182225744?\nAnswer: 182225901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -12.49  (b) 1\/5  (c) 1.6547\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = f**2 + 6*f - 7. Let c be k(-7). Let y = -1\/12279 - 613927\/282417. Calculate the common denominator of ((0 - 79) + c)\/2 and y.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.3 and -430725480891.\nAnswer: -430725480890.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 6*d**2 + 11369*d - 358253. Determine j(31).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: ((-1)\/3)\/(((-10512)\/108)\/(-146)*(-1)\/110)\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -554445126*g**3 - 2*g**2 - 5*g + 45547919 wrt g?\nAnswer: -3326670756*g - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 177 - (-1 + -1) - 2. Let t be (-20 - -21)\/((-3)\/9) + 6. Suppose 5*b + 16 = b, t*d + 3*b = w. What are the prime factors of d?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6955?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3311 + 3310.7. What is the nearest to -2\/7 in x, 4, -7, -0.5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 375683626?\nAnswer: 2, 12211, 15383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out 14496885 * 2.\nAnswer: 28993770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000002832 rounded to seven decimal places?\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -43\/16936 and 69\/4060?\nAnswer: 592760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (35 - 35 + 4*p)*(-2*p**2 + 2*p - 12*p + 4*p**2) + (-10 + 10 - 6*p)*(4*p**2 - 6*p**2 - 2*p**2) to the form f + v*p**3 + b*p**2 + d*p and give b.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) be the second derivative of -4*c**2 + 13*c + 0 - 3\/4*c**4 + 0*c**3. Differentiate n(q) with respect to q.\nAnswer: -18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -196*u**3 + 98*u**3 + 97*u**3.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 5*t = 8. Suppose -a - t*a = 5. Is 0 + a - 2*-56 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6\/6*(6\/(-81))\/(178\/1869).\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.11 and 2.578?\nAnswer: -0.28358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 7, x: 1, z: 4, i: 3, f: 2, c: 1}. What is prob of picking 1 z and 1 x?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*s - 7 - 1. Let w(a) = -a**2 + a - 2. Let b be w(s). Is (b\/(-6))\/((-4)\/(-474)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = 69503*r - 139374. What is b(2)?\nAnswer: -368","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -155 + 151. Let r = 0 - o. Sort -3\/2, 0.5, r, -15.\nAnswer: -15, -3\/2, 0.5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00065333663 rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) be the first derivative of -5*b**6\/3 - 22*b**5\/5 + 19*b**4\/2 + 10*b**3 - 18*b**2 + 1153. Suppose l(h) = 0. Calculate h.\nAnswer: -3, -6\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4832915 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*z + 36 - 366. What is the remainder when z is divided by 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35 = 2*c - 523. Suppose -z = 2*z - c. Suppose -20 = -g + 2*u - 0*u, -5*u = 4*g - z. Calculate the least common multiple of 20 and g.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of a**4 - 91*a**2 - 85*a?\nAnswer: 12*a**2 - 182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -69 + 71. Suppose 0 = -u*c + 52 + 442. Is 19 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -11637573 or -58187863\/5?\nAnswer: -58187863\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide -16585 by -107.\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.67 + 263219?\nAnswer: 263219.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 16591 + -43?\nAnswer: 1654b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 128 = 4*u - 5*s - 64, 4*u + 2*s = 220. Let p = u + -184. Let w = 226 + p. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 972 = 3*o. Let p be (-6)\/(-8) + (o\/36 - 7). Put 1, p, 2, 5 in descending order.\nAnswer: 5, 2, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*f*y**3 - 62*f*y**2 + 4*f - y**3 + 30*y wrt y?\nAnswer: 12*f*y - 124*f - 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (90\/(-72))\/(5\/(-8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 7\/94152 and 23\/600219.\nAnswer: 4801752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) be the third derivative of -10*d**2 + 0*d + 0*d**3 - 1\/240*d**5 - 1\/960*d**6 + 1\/2688*d**8 + 0*d**4 + 1\/840*d**7 + 0. Factor k(a).\nAnswer: a**2*(a - 1)*(a + 1)*(a + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(96)*4)\/sqrt(12) + -3 + sqrt(2) + 0 + sqrt(2) + 2.\nAnswer: -1 + 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -98 = -2*p - 2*k, -29*p + 30*p = 4*k + 49. Suppose -2*s - 12 = 2*q - 0*s, 4*q = 3*s + 11. Calculate the remainder when p is divided by (-50)\/(-4) - q\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -31016*q**2 - 10*q**3 + 31016*q**2.\nAnswer: -10*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 158 and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -6, 14, 15 in ascending order.\nAnswer: -6, 14, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.01995 rounded to 4 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 43.56 - 326.46. Let s = -295 - u. Round s to the nearest integer.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k + 170 = 3*m, -2*m - 260 = -7*m + 2*k. What is the remainder when 76 is divided by m?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3108 a factor of 365399000?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3 - -5. Suppose 1 = 5*m - y*c - 14, 0 = 3*c. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -429, -561, -911, -1587, -2697?\n\"Answer: -18*d**3 - d**2 - 3*d - 407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14367210.\nAnswer: 2, 3, 5, 11, 13, 17, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ssls when four letters picked without replacement from scscsscxccl.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*f + 6 = u, 4*u = 82*f - 81*f - 27 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = w**3 + 3*w**2 + 28. What is o(-3)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 53410770277 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 7*k**2 - 27*k + 131. Give n(5).\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 161 a factor of 57638?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -245 + 5?\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(171)*2 - sqrt(171) - 1*(sqrt(171) - (sqrt(171)*2 - sqrt(171) - sqrt(171)) - sqrt(171)))\/((-3*sqrt(360))\/sqrt(10)).\nAnswer: 7*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -43 + 171\/4. Let c be (1 + 0)\/(7\/(-14)). What is the smallest value in c, n, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 775454.4 grams in milligrams?\nAnswer: 775454400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 = 2*y - 4*d - 0, 0 = 3*y + 3*d + 6 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-14)\/(-10) - (-8)\/(-20))*-4. Sort 3, -2, -3, y in descending order.\nAnswer: 3, -2, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1161\/4088 - 1\/584. Let j be 0 + 2 - 20\/14. What is the smallest value in -4, j, c?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nino when four letters picked without replacement from noncconcccnoicoo.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 5414204 - 23?\nAnswer: 5414141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14 - (61 + (96 - 55)).\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 6555 - -33063?\nAnswer: 39608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 33\/22*(0 + 62)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = 17*q + 2. Let x be n(1). Let b = x + -8. Calculate the least common multiple of b and 5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36 = 14*i - 132. Let a = 46 - -14. Calculate the greatest common factor of i and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -67725*q*s**3 - 20776417*q*s**2 - 14*s**3 wrt s?\nAnswer: -406350*q - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = 68*z + 161. Suppose -5*m = t - 11 + 10, -3*m - 6 = 0. What is the units digit of n(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*m + 2*m - 4*m**2 + (-2*m**2 + 2*m**2 - 2*m**2)*(-1 - 2 + 2) + 1 - 1 + 3*m**2 + (2*m + 0 + 0)*(-5 + 5 - m) to g + s*m**2 + a*m and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2107\/8428 + 2*(-37)\/8 - 2.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + k = 11, -5*k - 49 = -4*w + 4. Calculate the highest common factor of 12 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d + 26*m + 198 = 23*m, 0 = -d + 5*m + 41. Let r(y) = -49 + 19*y - d + 100. Let s(c) = 4*c. What is s(r(u))?\nAnswer: 76*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p = d + 255, -3*p + 5*d - 3*d + 258 = 0. Let m = -43 + p. Does 18 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = y**2 + 2 - 3*y**2 - y**3 - 2 + 1. Let c be u(-1). Suppose -23 = -3*w - s + 6*s, c = -2*w - 5*s + 57. Is w a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 14*m + 3. Let t be d(1). Suppose 2*z - n - 8 - t = 0, -3*z + 3*n = -39. What is the least common multiple of z and 44?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 11, 31, 0.4.\nAnswer: 0.4, 11, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 30082 to the power of 1\/2, to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, -2, -0.03, 5955.5 in descending order.\nAnswer: 5955.5, -0.03, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t = 2*s - 46, -s = 5*t + 4*s - 220. Is t a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 91.9926 centimeters in nanometers?\nAnswer: 919926000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 85 - -50. What is the greatest common factor of q and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10896 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**4\/x*x)\/x**(2\/7)*x**(-3\/7)*(x**(2\/23)\/x)\/x*((((x\/(x*x\/x**0))\/x)\/x)**(-2))**(1\/16) assuming x is positive.\nAnswer: x**(2251\/1288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -3  (b) -2\/7  (c) 127\/2  (d) -2\/5  (e) 2.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4 and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 17 + -7. Find the second derivative of 11*i - p*i - 15*i + 11*i**2 + 2*i**2 wrt i.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 250 and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = 21*g + 84. Let j be a(-5). Let p be -17 - j - (-1962)\/(-245) - -4. Which is bigger: p or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 294522?\nAnswer: 2, 3, 191, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 1, f: 3}. What is prob of sequence fh?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -53, -154, -339, -656, -1153, -1878, -2879, -4204?\nAnswer: -5901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -b**2. Let u(a) = -2*a + 5*a + 2*a + 2*a. Determine k(u(t)).\nAnswer: -49*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 354.4215 years to decades.\nAnswer: 35.44215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(3000)*1)\/sqrt(96).\nAnswer: 5*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g = -5*g + 3. Suppose g*y - 5 = 13. Is 5 greater than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 18278\/22 + (35\/11 - 3). Let c = -424 + i. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from daaddddadadaaaaa. Give prob of picking 4 a.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*v = 102*b - 106*b + 14, 5*v = -2*b - 23 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 438, 494, 548, 600?\n\"Answer: -l**2 + 59*l + 380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 17505 and 21330.\nAnswer: 8297370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 10 + 71 = 5*m, 4*m - 78 = -3*b. What is the highest common factor of b and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1649 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-46)\/(-6) - 6)*6\/5. Sort 4, d, -11.\nAnswer: -11, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 399248?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -46, -38, -16, 26, 94, 194, 332, 514?\nAnswer: 746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0001173 rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 667579.\nAnswer: 11, 60689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 594*o. Let y(f) = 41*f. Let m(h) = 18*h**2. Let p be m(-2). Let i(u) = p*y(u) - 5*w(u). Let c(j) = -2*j + 9*j - 3*j - 5*j. Determine c(i(l)).\nAnswer: 18*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h*h**(-9))\/(h\/((h*h\/h**(3\/7))\/h)))\/(h**(-1\/9))**11 assuming h is positive.\nAnswer: h**(-454\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1974 + 12502. List the prime factors of g.\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (6\/8)\/(-4*6\/4)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine p, given that 27\/5*p**4 + 0*p + 0 + 3\/5*p**5 + 12*p**2 + 72\/5*p**3 = 0.\nAnswer: -5, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 781 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36*a = -12*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q*q**(-1\/2)*q*q**16 assuming q is positive.\nAnswer: q**(35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 22 - 20. Solve -2*o = k*f + 3*f + 19, -5*o = -3*f - 30 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 9691 + -5329. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1491329 and 133.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 3, 2\/13, -4 in decreasing order.\nAnswer: 3, 2\/13, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -625*b + 314*b + 376 - 926 = -256*b for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 319, 497, 399, -113, -1177, -2931, -5513, -9061?\nAnswer: -13713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5*sqrt(64) + sqrt(256) + (sqrt(256) - 2*sqrt(256)))*6)\/((sqrt(14) + (sqrt(14) - (sqrt(70) + sqrt(70)*2)\/sqrt(5)))\/(sqrt(7) + sqrt(35)\/sqrt(5)*-3)).\nAnswer: 240*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -46*p**3 - 7*p**2 + 4*p + 7. Let z(q) = -23*q**3 - 3*q**2 + 2*q + 3. What is 3*j(g) - 7*z(g)?\nAnswer: 23*g**3 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*m + 536 = -913. Find the second derivative of -m*h**3 + 11*h + 0 - 24*h**2 + 0 + 204*h**3 wrt h.\nAnswer: -18*h - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1027?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2569109 is divided by 58.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find r, given that 7*r**4\/12 + 2963*r**3\/12 + 3863*r**2\/3 - 1493*r\/3 - 4180 = 0.\nAnswer: -418, -5, -2, 12\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 101*f - 5847 = 98*f. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = 5*o**2 + 44*o - 362. Determine p(5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 264 - 263.8. What is the second biggest value in t, 0.1, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 261 + -376. Let v be 3\/12 - x\/4. Solve -28*g - 3 = -v*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*w - 88*w - 56202 = 0. Are w and -551 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (120\/(-36))\/(2 + 80\/(-12))?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = 6*p**2 - p**2 + 6*p**2. Let b(l) = -l + 6. Let k(f) = -4*f + 20. Let h = 257 + -254. Let o(t) = h*k(t) - 10*b(t). Determine q(o(v)).\nAnswer: 44*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 360*q + 50 = 365*q. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:26 AM and 4:50 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 139353, 278767, 418181?\n\"Answer: 139414*o - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 1, p: 3, u: 2, v: 3, d: 1}. What is prob of picking 1 p and 1 n?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from kkkkkkkkikkk?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(325) + -1 + sqrt(52))**2 + -6*(-1*sqrt(468) + sqrt(13)).\nAnswer: 118 + 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -4*v**2. Let n(k) = k - 2. Let x be n(-4). Let p = 8 + x. Let j(u) = -3 + 3*u**2 - u**p + 3. Determine h(j(d)).\nAnswer: -16*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1872 and 10?\nAnswer: 9360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-14)\/(-4))\/(8\/16). What is the greatest common factor of k and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*t**2\/3 - 420170*t\/3 - 6299175.\nAnswer: -5*(t + 45)*(t + 83989)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 380457 and 297?\nAnswer: 380457","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 208*c**3*k + 10832*c**3 - 5097*c**2*k - 5*c - 159 wrt c?\nAnswer: 1248*k + 64992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*t + 14 = -13. Let b be t\/2*20\/45. Factor -14\/9*v**2 - b*v**3 - 2\/9 - 10\/9*v.\nAnswer: -2*(v + 1)**2*(3*v + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1273970 divided by 5539\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 6885 and 27460.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 327193?\nAnswer: 327193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 249 minutes after 8:16 PM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.055, 0, 1\/6 in decreasing order.\nAnswer: 1\/6, 0.055, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 208065491 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g - r = -5, 5*g = 5*r - 1 + 6. Calculate the greatest common factor of g and 19.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 52431*f**3 + 2464251*f**2 + 2411544*f - 276 = 0. Calculate f.\nAnswer: -46, -1, 2\/17477","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 4604 or 1413468\/307?\nAnswer: 1413468\/307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) be the third derivative of -10\/3*o**3 + 0*o**4 + 1\/60*o**5 + 37\/120*o**6 + 0 - 80*o**2 + 0*o. Find the third derivative of l(g) wrt g.\nAnswer: 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1152 - 2*i + 604 + 10*i**2 + 548.\nAnswer: 10*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -51*t + 943 + 689. Solve 0 = -4*z - 44 + t for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3390917 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6)\/(-10)*(-190)\/(-513).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) be the second derivative of -3*t**3\/2 + 13*t**2\/2 + 5*t. Let s be g(-8). What is the greatest common factor of 17 and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 428 minutes after 10:25 AM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -26*c. Suppose 0 = l + l + 2. Let v(r) = -r + 1. Let p(d) = -d**2 + d - 1. Let a(q) = l*p(q) - v(q). Give a(x(f)).\nAnswer: 676*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*c = -24*c + 147. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-4 - -3 - -2)\/(1 - 2). Let l be m\/(-1 + 12\/15). Solve 0*n = l*n - 25 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine z so that -4*z**5 - 1676*z**4 + 6792*z**3 + 10136*z**2 - 6788*z - 8460 = 0.\nAnswer: -423, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r**3\/4 - 331*r**2\/4 + 8459*r\/2 + 50820 = 0. Calculate r.\nAnswer: -10, 77, 264","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 5198597 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 135 divide 7317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-194)\/(-10)*(-46 + 61). Let p(f) = 291*f**2 + d*f**2 - 581*f**2. Let t(b) = 168*b**2. Give p(t(a)).\nAnswer: 28224*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (2 - 0\/2) + 0. Suppose d*b + b - 6 = 0. Suppose 0*m + b*m - 14400000 = 0. What is m rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14170*j + 0 - 4 + 4.\nAnswer: 14170*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-2)\/(-5) + (-1 - 2)*(-65)\/75. Solve -j - 4*t = 22 - v, -5*t = -3*j + 11 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -3 and -51.\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a and 1 k when two letters picked without replacement from {a: 3, k: 5}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*((sqrt(7)*5 + -2)*-5 + (sqrt(210)\/sqrt(5))\/sqrt(6) + -1*sqrt(7)*1).\nAnswer: -60 + 150*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -12 in 2\/21, -68, 1\/2?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -7 - -10. Let k(o) = 2*o**2 - 6*o + 2. Let z be (-11)\/(-3) + 1\/3. What is the remainder when k(z) is divided by r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 5 = 0, -9 + 4 = -f - l. Suppose f*i = 8*i - 2920. Let x = i - 169. Round x to the nearest ten.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1050537*z**5 - 476*z**3 - 2*z**2 + 755689*z wrt z.\nAnswer: 63032220*z**2 - 2856","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express 1215*h + 1188*h + 16526*h**2 - 16528*h**2 as v*h + j + b*h**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 174\/11, -0.2, 3\/14, 297?\nAnswer: 174\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -78796, -78794, -78790, -78784, -78776, -78766, -78754?\n\"Answer: y**2 - y - 78796","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.94 + -0.939965. What is k rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 5 + 2. Let x(b) = -1198 + 583 + 584 + 19*b. List the prime factors of x(j).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*q + 9 = 16*q. Suppose -4*m - q = -4*g + 7, -3*m + 5*g = 12. Put -2\/11, -0.4, -2\/3, m in descending order.\nAnswer: m, -2\/11, -0.4, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 288 and 78246900.\nAnswer: 625975200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 2, e: 2, x: 1}. Give prob of sequence xp.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express (5*v - 34*v + 10 + 55*v)*(-1 - 10 + 7) as c*v + o and give c.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -8877215, -17754406, -26631563, -35508680, -44385751?\nAnswer: -53262770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine r, given that 2*r**4\/7 - 37540*r**3\/7 + 225168*r**2\/7 + 64*r\/7 - 1200896\/7 = 0.\nAnswer: -2, 4, 18764","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 147 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17*r + 35 - 73 + 38.\nAnswer: -17*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = k**3 + k**2 - 3*k - 2. Let q be c(-2). Suppose q = -5*u + 8 + 2. Solve -b = 2 + u for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 2 c when three letters picked without replacement from {l: 9, w: 3, c: 4}.\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((792\/(-55))\/4)\/(3\/(-310)). Suppose -2*b + 3704 + l = 2*i, -2035 = -b - 2*i. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) be the third derivative of -m**5\/120 - m**4\/4 + m**3\/6 + 2*m**2. Let s(p) be the first derivative of f(p). Give s(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19672064 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 220, 445, 670, 895, 1120?\n\"Answer: 225*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*g - 4*r - 0 - 7, 2*g + 4*r - 2 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 455.9007 hours to seconds.\nAnswer: 1641242.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*((-1 + (sqrt(125) - (sqrt(125) - 3*(sqrt(125) + sqrt(125)*-4)) - (sqrt(125) + -5 + (sqrt(125)*2)**2 + sqrt(125))))*-4 + 0).\nAnswer: 220*sqrt(5) + 1984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9*a - a - 18 - 6*a)*(-4*a + 4*a + 3*a + (4 - 5 + 4)*(-a - 4*a + 2*a)).\nAnswer: -12*a**2 + 108*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 3, i: 2, r: 1, n: 4, e: 1, q: 4}. What is prob of sequence nen?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -64068858*o. Let s(j) = 2*j. What is z(s(h))?\nAnswer: -128137716*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 2*a**3 - 2*a**2 - 4*a + 4. Let y be h(2). Suppose -2*z + z = y*l - 70, 0 = -4*z + l + 246. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + (sqrt(88)*-2*-5)\/sqrt(8) - -6*(sqrt(176) + (sqrt(176) - (-5 + sqrt(176) + 2))))**2.\nAnswer: 1292*sqrt(11) + 13077","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -14*g + 1. Let i(d) = 20*d - 2. Let f(q) = -7*a(q) - 5*i(q). Calculate f(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 4162 + -305016?\nAnswer: -300524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-18)\/12*(-8)\/(-18))\/((-166)\/(-3735))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7 + 7*p - 4*p - p)*(115*p**2 + 101*p**2 - 52*p**2).\nAnswer: 328*p**3 + 1148*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*a**4 + a**5 + a**5 + 2 - 4*a**5 + (2*a**4 + 0*a**4 + 0*a**4)*(1 - 3*a - 1) + 5*a**4 - 5*a**4 - a**5.\nAnswer: -9*a**5 + 2*a**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 52 + -52. Let d = 72 - 29. Suppose w = -u*n + n - d, -2*w - 48 = -n. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 3, u: 1, i: 4, t: 2, m: 1}. Give prob of picking 1 m and 2 t.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = s**2 - 7*s - 198. What is q(18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -32 - (56 + -74 + -149).\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*f + 2*w, 7*f + 4*w + 9 = 12*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 732 + -732. What is the closest to -14 in p, 1\/2, 1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.1 - -1.9. Let x = -3265.9 - -3266. Let i(j) = j**3 + j**2 - j + 3. Let s be i(0). Which is the closest to x?  (a) q  (b) 2\/5  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = -8*c - 8. Is -2*-9014*(-1)\/c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**(3\/2)\/z*z\/z**(-3\/8)*z*((z\/(z\/z**0)*z)\/z)\/(z*z\/(z*(((z**(-3\/16)\/z)\/z)\/z)\/z)) assuming z is positive.\nAnswer: z**(-37\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Are -79\/877886 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -88405 - -8?\nAnswer: -883ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 18739081?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) be the second derivative of 29*c**5\/60 - 35*c**4\/24 + 4*c**2 + 3*c. Let f(j) be the first derivative of v(j). Find the second derivative of f(u) wrt u.\nAnswer: 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -f**2. Let r(g) = 3*g**2. Let u be -9*-6*(-10)\/20*(-2)\/(-18). Give u*r(d) - 6*x(d).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 6 = 5*s, -l - 9 = -s - 15. Let q be ((-12)\/(-10))\/(3\/10). Calculate the highest common divisor of q and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 23*p**3 - 42*p**3 + 16*p**3.\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -205013455 (base 7) to base 8\nAnswer: -56172651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/3)\/((-1)\/24*-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 319256556 and 606?\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1146 + 14?\nAnswer: -1132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 465, 604, 743, 882, 1021, 1160?\n\"Answer: 139*u + 326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = 2*w - 2. Suppose -3*n - u = -5, 5*u + 7 = -5*n + 22. Let t = n - -1. Let v be p(t). Which is the closest to 1?  (a) 3\/4  (b) 1  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12 + -7 + -8 - (-43)\/15.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -6, -11, -20, -33?\n\"Answer: -2*c**2 + c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7605*r**3 + 1746*r**3 + 588*r**3 - 1784*r**3.\nAnswer: 8155*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6*(-6)\/144)\/((-1)\/4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -507 - 71072508.\nAnswer: -71073015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 15 + -11. Suppose -12 = -t*u, n + 3*n = 3*u + 75. Does 21 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 144 - 209. Suppose 4*s - 25 = -9. What is the tens digit of (-6)\/(-4 - (s + -10)) - a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2935 is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -6*q**2 + 3*q + 3. Let s be b(-1). Let i(g) = -8*g + 8. What are the prime factors of i(s)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ccczzzzz. Give prob of sequence cccz.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 11902.3 - 11875. Put -3, -3\/2, w in ascending order.\nAnswer: -3, -3\/2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20878 = 3620*l - 3763*l. Suppose -j + 69 = -5*o, 7*o = 4*j + 2*o - 216. Calculate the remainder when l is divided by j.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 + -8 + (4 - 4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -o**3 + 24*o**2 - 25*o + 54. Let c = 38846 + -38823. Determine a(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2)\/(-6) - 4\/(-6). Let g be 3 - (-2 + 2)\/(-3). Suppose 2*k = 3*d + 10, -3*d = k + h + g. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((1595\/(-125))\/29)\/(6\/(-30)).\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 74*t**2 + 130458*t - 7052 = 0 for t.\nAnswer: -1763, 2\/37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -32\/5 - 2\/5*s**2 + 16\/5*s.\nAnswer: -2*(s - 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 769*z + 180*z + 556*z + 17*z. Let r(i) = -2*i**2. What is q(r(w))?\nAnswer: -3044*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 8\/(-14)*(-105)\/10. Let b(k) = -k - 2. Let j be b(-5). Solve -n - j = -u for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/9 in 4, 77, 51, 5, -1\/33?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2419740 + -26635401\/11. Let y = -1659 - f. Let w = -31\/22 - y. Sort 0.1, w, -2\/9 in ascending order.\nAnswer: w, -2\/9, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.4 - 0.2. Let i = -88 + 618\/7. Let c = -2\/9 + -22\/63. What is the third smallest value in c, i, v?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -56 less than -51796\/933?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Determine r, given that 11*r**2\/3 + 91*r\/3 + 8 = 0.\nAnswer: -8, -3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -5\/22 and (-1)\/6 + (-485)\/60.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -o**5\/2 - 2501*o**4 - 6264997*o**3\/2 - 12499998*o**2 - 12490002*o.\nAnswer: -o*(o + 2)**2*(o + 2499)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express (-118*z**2 - 127*z**2 + 364*z**2 - 51*z**2)*(z**2 + 4*z**2 - 3*z**2) - 3*z**4 - 4*z**4 + 3*z**4 as a*z**3 + j*z + o + m*z**4 + n*z**2 and give m.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -61 - 2*u + 61. Let p(d) = -6*d. Calculate l(p(w)).\nAnswer: 12*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 30\/(-75) + 1 + 54\/10. Let y be -2 - (-14)\/n - -3. Suppose 0 = 4*w + l - 11, -3*l = -2*w - l - 2. Which is smaller: w or y?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 21*k*r - 4*k*t + 63*k + 13*r*t with respect to r.\nAnswer: 21*k + 13*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7879 is divided by 125.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q = -0*q - 6. Let c be ((-6)\/(-5))\/(q\/(-5)). Find the first derivative of -4*m**3 - m**3 - 1 + 3*m**c wrt m.\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -28 - -1340658?\nAnswer: 1340630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 111 + -110?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 1, m: 2, e: 2, o: 1, b: 2, y: 1}. Give prob of sequence beo.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -7*s**2 - 7*s + 4. Let g(i) = 9*i**2 + 7*i - 5. What is -2*g(b) - 3*v(b)?\nAnswer: 3*b**2 + 7*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 3, b: 1, f: 1, o: 12, z: 2}. Give prob of picking 2 z and 2 o.\nAnswer: 11\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(10)\/sqrt(5) + 1 + 2 - -1*4*(sqrt(2) - sqrt(10)\/sqrt(5)).\nAnswer: sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 63 minutes after 1:13 AM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (1 + 3\/(-3))\/(-1). Suppose -4*m + 3*b = -23, a = -5*m - 4*b + b - 5. What is the units digit of 2 - -1 - (m + -28)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 228.66 rounded to the nearest ten?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) be the third derivative of 4866667*i**4\/8 - i**3\/6 - i**2. Let x be v(1). What is x rounded to the nearest 1000000?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (390\/10)\/((-26)\/2 - (-1160)\/80)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 52597 by -353.\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -7*m**2 + 18*m - 6. Let b(v) = 39*v + 45 - 14*v**2 + 8*v - 10*v - 58. Let f(u) = -13*a(u) + 6*b(u). Find the second derivative of f(q) wrt q.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + 308 = -0*i + 4*v, 0 = 5*i - 2*v - 392. Does 13 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (40 - 2)*((-130)\/(-4) + 1). Suppose 0 = 2*h - 3*u - w, -3*u = 9 + 6. Suppose -m + 2169 = -h. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-120)\/(-144)*1\/(-10)*3\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -113*z. Let c(m) = -3*m. Calculate c(s(w)).\nAnswer: 339*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4263?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*x = 6 + 58 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*b**2 + 1480*b - 988 = 0.\nAnswer: -494, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -w + 2. Let l be n(-2). Suppose 0 = 2*z + 2*z. Suppose 4*t + 5*p = 3, -l*t - 4*p + 0*p + 4 = z. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 48 and 20112.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4*g*y**2 - 436*g*y - 85*y**3 wrt y?\nAnswer: 8*g - 510*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -0.3  (b) -38.4  (c) 0.4  (d) 31  (e) 4  (f) 0.43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = t**3 + 35*t**2 + 4581*t + 64209. Give n(-15).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3689 and 136?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**(-1))**(1\/19)*(n\/(n\/(n\/n**(-2))))\/n**(2\/3))\/((n\/n**(2\/7)*n)**(-31))**43 assuming n is positive.\nAnswer: n**(912682\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 36, 204, 22, -1.\nAnswer: -1, 22, 36, 204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-1 - 1)\/(-2))\/((-4)\/(-88)). What is the highest common factor of 77 and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -210202 + -1?\nAnswer: -210210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 74 and 36.\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*x + 8321 - 1601 = 0. Suppose q + 255 = x. Is 51 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.47 and 151054?\nAnswer: -70995.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*j - 3*j - 20 = 0. Suppose -4*n = -j*n + 4. Calculate the remainder when 19 is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) be the second derivative of n**4\/12 - 4*n**3\/3 + 3*n**2 + 22*n. Let l be o(7). Sort l, -3, -4, -5.\nAnswer: -5, -4, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find i, given that -i**5 - 4960*i**4 + 14898*i**3 + 44672*i**2 + 24815*i = 0.\nAnswer: -4963, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 225947 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 = 2*n, -5*s + 0*s = -3*s - 3*s - 3*s - 5*n + 61 for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v - f + 68 + 211 = 0, 829 = 3*v - 5*f. Suppose -4*b + 1229 = i, -b + v = -4*i - 8. Is b a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 213300 and 1844808?\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 20144.4669939 - 20144.4. Let u = 0.067 - o. Round u to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -28*l**3 + 6*l**3 + 9*l**3 - 2*l**3.\nAnswer: -15*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3 + (sqrt(208) - (-1*sqrt(208) + sqrt(208))) - (sqrt(208)*-1*6 - sqrt(208))) + -2*sqrt(325) + 0 + (sqrt(325) + 1 + sqrt(325))*-1 + -2)**2.\nAnswer: 1872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 30, 51, 72, 93?\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.018 + 32.982. Let q = h + -22. Let j = q + -11. What is the biggest value in 2\/19, j, -1?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 102132965 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -20.7 - -15.5. Sort 0.5, -4, l.\nAnswer: l, -4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 minus -1.2932186715794?\nAnswer: -3.7067813284206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -2*c**3 - 3*c**2. Let z be y(-2). Let k(s) = -1 + 2*s**2 + 2*s + 4 - 3*s**2 + 5*s**2 - s**3. Let t be k(z). Is 10 less than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 267056718?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f**(2\/9)\/f**(3\/4)*((f**(-1)*f)\/f)\/(f\/f**(-1)) assuming f is positive.\nAnswer: f**(-127\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 67627 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000052452821 rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 5240 and 200.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m + 8*j - 3*j + 11080 = 0, 0 = -5*m - 3*j - 55312. Let s = 16080 + m. Round s to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -22, 9, 6, -49, -174, -387?\nAnswer: -706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -14 + 31. Let l(r) = 14*r - 11. Let x(y) = 5*y - 4. Let d = -17 + 11. Determine d*l(f) + w*x(f).\nAnswer: f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-18*y + 23*y - 53*y)*(1 - y**3 - 1) + 5*y**3 - 5*y**3 - 3*y**4.\nAnswer: 45*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w = 2*y + 7, 3*w - 187*y = -191*y - 5. Sort -5, -12, w, 0.2.\nAnswer: -12, -5, 0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -7 + -6*8\/(-12). Let l be ((-2)\/x)\/((-8)\/(2*-12)). Factor 200 + 0*u + 19*u + 21*u + 2*u**l.\nAnswer: 2*(u + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1.9 - -2. Let t = 0.29 - 0.48. Let k = t - 0.01. Is h equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -540*k**5 + 1296*k**4 - 1148*k**3 + 448*k**2 - 60*k + 8. Let g(y) = -y**3 - y - 2. Let w(p) = 4*g(p) + q(p). Let w(f) = 0. Calculate f.\nAnswer: 0, 2\/5, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -353*r**2 + 2*r + 1. Let b(n) = 1413*n**2 - 9*n - 5. What is 2*b(v) + 9*m(v)?\nAnswer: -351*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one eighths of a milligram in micrograms?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 27*-3*(-4)\/6. Let j be (-7 - -6)\/(2\/(-72)). Calculate the highest common divisor of j and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1911) - 1*sqrt(1911))\/(sqrt(3) + 6*sqrt(27)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2\/(-26*1\/(-2)). Let x = -50 - -53. Put 0.2, x, m in increasing order.\nAnswer: m, 0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2701, 3578, 4455, 5332, 6209, 7086?\nAnswer: 7963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = 138*w - 7. Is p(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*s + 3*f - 0 - 15, 3*s = -3*f - 3. Let z be 0\/(s - 1*(-1)\/1). Solve 4*m = 2*y - 24, -4*m = -z*m + 16 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -7\/48453?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 95532.29 + -0.114024735\nAnswer: 95532.175975265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*k - 4 - 59. Suppose -5*y + 3 = 8, z - k = y. Solve 0 = -3*l + f + 1 - 2, 2*f - z = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 217 by 1.\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -u**2 - 3. Let m(l) = -221*l**2 + 204. What is 5*m(h) + 340*t(h)?\nAnswer: -1445*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11 (base 7) to base 14.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00152795 to 5 dps.\nAnswer: 0.00153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 8, n: 8, b: 4}. Give prob of picking 1 n and 1 g.\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 5*q = -35, -10 = x + 4*q - 33. Let i be -2 + x*(-1)\/(-3). Suppose -5*s + 20 = m + m, -i*m + 76 = -4*s. Is 10 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h*h\/h**(-1\/4))**(5\/18)*h**(-1\/2)*h**(-1\/3))\/((h*h\/(h*h\/(h**(-2\/13)\/h)))\/h**(2\/11)*(h\/h**2)\/h**(-2)) assuming h is positive.\nAnswer: h**(437\/3432)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + (2 - (-3 + 3)) - -7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + 2 - 6 = 0. Let k be o + 2\/2 - -5. Suppose f - k*f - 8 = 0, -30 = -5*h + 5*f. What is the remainder when 10 is divided by h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence eii when three letters picked without replacement from ixbbkeixkkkxmkxx?\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Determine m, given that 3*m**3 - 7539*m**2 + 30072*m + 90324 = 0.\nAnswer: -2, 6, 2509","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -3*j. Let w(k) = -k**2 + 3*k + 9. Let i be w(4). Suppose i*h + 39 = 399. Let z(f) = h - 72 - 11*f. What is p(z(t))?\nAnswer: 33*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 2.14353 and 2897?\nAnswer: 6209.80641","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.04 and 345040.4.\nAnswer: 345040.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 221213 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.37746 or 54?\nAnswer: 0.37746","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -7*c**2. Let g(p) = -2*p**2 - p**2 + 2*p**2 + 0*p**2. Calculate h(g(l)).\nAnswer: -7*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is sixty-seven fifths of a kilometer in meters?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.5 - 0.5. Let h = -3.59 - -1.59. Which is the closest to f?  (a) -1\/4  (b) h  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -16*u**2 - 7*u + 10. Give l(3).\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) be the first derivative of -3*x + 1\/12*x**4 + 1\/2*x**3 + x**2 - 2. Let g(k) be the first derivative of m(k). Factor g(v).\nAnswer: (v + 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1537 is divided by 18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -0.2 times 9738621\nAnswer: -1947724.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (-83)\/(5229\/(-441))*47*2\/14\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 127 minutes before 1:42 AM?\nAnswer: 11:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -101\/107889320 and 3\/30825520?\nAnswer: 215778640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 710423 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1242 + -1226. Suppose -5*v + 700 = 5*b, -3*v + 3*b + 588 = v. What is the greatest common divisor of v and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7251119 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 3277*-76\nAnswer: -249052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 14533.15 kilograms?\nAnswer: 14533150000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2.8 - 7.8. Let a(c) = c + 1. Let i be a(-4). What is the third biggest value in 0, n, i?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3157916?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 70*b*t**3 + 2*b*t + b + 37*t**3 + 49*t**2 with respect to b.\nAnswer: 70*t**3 + 2*t + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 10010100110111101 (base 2) in base 10?\nAnswer: 76221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b - 2 = -20. What is the third derivative of -12*o**6 + 4*o**6 + 12*o**2 + 14*o**b wrt o?\nAnswer: 720*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00004446136706 rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put -854, -3, 4, -10 in ascending order.\nAnswer: -854, -10, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 divided by -43181733?\nAnswer: -4\/43181733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 1a (base 14) in base 16?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 4473450379 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -9 - (-7 - ((-5 - 4) + 8))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-4)\/(-10) - (-824)\/(-10) - -2. Round s to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -12 + 11.982. Let u = -0.442 + r. Let y = -0.4 - u. What is y rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 373, 498, 619, 736, 849, 958, 1063?\n\"Answer: -2*k**2 + 131*k + 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 53867 divided by -53867.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hugfm. Give prob of sequence hg.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 36*d**5 - 3214*d**4 + 96266*d**3 - 1029018*d**2 + 1954458*d - 731808 = 0.\nAnswer: 1\/2, 16\/9, 21, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = h - 9. Let q = 31 + -19. Let x = q + -3. Let d be l(x). Solve -m = 3*v + 4, 2*m = 5*v - d*m + 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 74*(20\/5 + -3). Let b be (7 + -6)*((-5 - -3) + 4)*2. Calculate the greatest common factor of b and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (47\/376)\/(-10*11\/(-880))*97\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 118*z**2 + z. Let i(p) be the first derivative of -p**4\/12 - 99*p**2\/2 + 70. Let h(a) be the second derivative of i(a). Give f(h(m)).\nAnswer: 472*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 3 + a + 5 - 6 - 1784*a**2.\nAnswer: -1784*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45 = -3*o + 8*o. Let s(m) = -m**3 - 8*m**2 + 10*m + 9. Let a be s(o). Sort 2, a, -2 in decreasing order.\nAnswer: 2, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o = -0*o + 16. Let q = 661 + -662. Which is smaller: o or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -172 = -4*f + 3*o + 2*o, 0 = f - 3*o - 43. Let a = f + 35. Is a a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 32\/10*350\/(-140)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 bigger than -55.21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express 3589 + 3574 - 2*s + 104*s**2 - 7156 in the form g*s**2 + a + o*s and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 4745896599?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 7569989?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 331.368282 minutes?\nAnswer: 0.0328738375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4\/5*f**2 + 752\/5 - 384\/5*f.\nAnswer: 4*(f - 94)*(f - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 42*o**2 + 18196 - 18196.\nAnswer: 42*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -8*h**2 - 284*h - 2280. Calculate b(-8).\nAnswer: -520","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 97088.89 decades to millennia.\nAnswer: 970.8889","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -y. Let h be t(-2). Let w(c) = 0*c**2 - 4*c**2 + 0*c**2 + 3*c + c**2. Determine w(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3665153365 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*d + 858*z - 855*z - 12 = 0, 0 = -2*d + z - 5 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -41.1 - -23. Let d = 18 + g. Let z be 1*(-4)\/20*-1. What is the smallest value in 5, d, z?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1750 and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence llyl when four letters picked without replacement from lwllvvvyvvz.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -12 - p**2 + 44 - 55*p**3 - p - 32 to the form o*p**3 + i*p + f*p**2 + s and give o.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-20)\/(-6) + 8\/12. Suppose -5*u + 20 = 0, -q*j = 5*u - 423 - 253. Suppose -5*n + 5*i + 615 = 0, -n + 4*i - 29 + j = 0. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -n**2 + n - 1. Let m(q) = 30*q**2 - 9*q + 9. Determine -18*h(b) - 2*m(b).\nAnswer: -42*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 84861 + -0.2.\nAnswer: 84860.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 71 = 3*v + 11*t + 38, 2*v + t = 22 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-96)\/(-18) + 4\/6. Let z(h) = 3*h - 2. Calculate the least common multiple of 22 and z(d).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) be the second derivative of 58*h**7\/7 + h**3\/2 + 97*h**2 - 750*h. What is the second derivative of q(f) wrt f?\nAnswer: 6960*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 6 + 28)*(0 + v + 0).\nAnswer: 20*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(((-5*(-4 + sqrt(304)*2))**2 - (5*sqrt(133)*2 + sqrt(133))\/sqrt(252)) + -2).\nAnswer: -92394 + 9611*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 81657253871 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in twenty-one quarters of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2915 - -597. What are the prime factors of x?\nAnswer: 2, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4.5 * 0.1\nAnswer: 0.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -386 = -5*r - h, 2*r + 29*h = 34*h + 176. What is the greatest common factor of r and 156?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2*l*o - 630*l*r + 3*l - 32*o*r**3 - 3*o*r**2 - 225*o + r**3 + 1 wrt o.\nAnswer: -2*l - 32*r**3 - 3*r**2 - 225","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -2 - -10266?\nAnswer: 10264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*k + 10 = -o, -7*o = -2*k - 11*o for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*g - 4*g - 1. Let x = -5 + 9. What is the closest to -0.04 in x, g, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -139324, -5, 8 in ascending order.\nAnswer: -139324, -5, -3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 24 - 22. Suppose 2*r - 348 = -w, q*w = 6*w. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 divided by 112878?\nAnswer: 5\/112878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = 36*c**2 + 3*c + 3. Let p(k) = -89*k**2 - 8*k - 8. Let x(f) = -8*d(f) - 3*p(f). Let i(g) = -32*g**2. Give 5*i(r) - 8*x(r).\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2082 - 2074. Let i(j) = 1322*j - 1331*j + j**3 + 0*j**3 - 7*j**2 - 5. Calculate i(n).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -153989, -153988, -153987?\nAnswer: -153986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.1 + 0.2. Let k = -1.6 - 0.4. Let n = 2.2 + k. Which is the second smallest value?  (a) 0.4  (b) x  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*z + 3 = v - 5*z, 0 = v - z. Let x(i) = -2*i + 4. Let s be x(3). Put 2, s, v in ascending order.\nAnswer: s, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -23*u + 72. Let f(y) = -9*y + 29. Let j(l) = -2*a(l) + 5*f(l). Let w(r) = 10*r - 5. What is -5*j(m) - w(m)?\nAnswer: -15*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*u - 5*g + 216, -g + 151 = 2*u - 0*u. Let v be (-4)\/(-10) - u\/55. Let d(r) be the second derivative of -r**3\/6 - r. What is d(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1711a - -2?\nAnswer: 17120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 20874018029 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = 192*n**2 - 17*n - 26. Is o(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -w**3 - 5*w**2 + 285*w + 1455. Determine a(-5).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 16036332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9 - (-1 - (-2 - 1 - (1 - 7))).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 441150*y + 441155*y - 1323465*y + 441161*y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (1 + sqrt(684))**2 + 3*(sqrt(684) + (sqrt(684) - (sqrt(684) + 1 + sqrt(684))))**2.\nAnswer: 12*sqrt(19) + 693","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 168 or 166?\nAnswer: 166","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -345, 5, -4 in descending order.\nAnswer: 5, -4, -5, -345","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide -139423 by 4.\nAnswer: -139423\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 69479605 and 26722925.\nAnswer: 347398025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t = 4*j - 85 - 9, 3*t - 32 = -j. Let r be (-6)\/(-4) - (-13)\/j. Suppose 0 = 3*g + 3*f + f - 1543, r*f = 4*g - 2094. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 269135\/184874 + 3\/4019. Calculate the common denominator of 0 + (2 - (-327)\/(-60)) and t.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 4 - 410?\nAnswer: -401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -39*a**2*h*j**2*s + 3965*a**2*j**2*s + a*h*s - 9*a*j*s - 173*h*s - j**2 wrt a?\nAnswer: -78*h*j**2*s + 7930*j**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -1025.31 rounded to the nearest integer?\nAnswer: -1025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20676 = 349*o - 14224. Calculate the remainder when o is divided by 18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -10566, -21173, -31776, -42375?\n\"Answer: 2*f**2 - 10613*f + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) be the second derivative of d**6\/60 + 2*d**3\/3 + d**2\/2 + 4*d. Let h(k) be the first derivative of u(k). Differentiate h(i) wrt i.\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) be the first derivative of -5*f**3 - 3*f**2\/2 - 141*f + 279. Differentiate y(l) wrt l.\nAnswer: -30*l - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 7589, 1\/3, 39, 4, -1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 3\/16 of a millennium?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 528845726?\nAnswer: 2, 73, 3622231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 13696683 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = k**2 - 2*k - 3. Let c(y) be the third derivative of y**5\/60 - y**4\/12 - 2*y**3\/3 - y**2. Let b(g) = 4*c(g) - 5*x(g). Factor b(u).\nAnswer: -(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -2  (b) -5  (c) -59  (d) -3  (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find a, given that -a**2\/3 - 1960*a\/3 - 1957 = 0.\nAnswer: -1957, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(1\/20)*v*(v\/(v**(-2)*v))\/v)\/((v*v\/(v\/(v\/(v\/(v\/v**(-2\/5)))*v)*v*v))\/(v\/(v*v**0*v))) assuming v is positive.\nAnswer: v**(-7\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*p**3\/4 + 45*p**2\/2 - 297*p\/4 = 0. Calculate p.\nAnswer: -33, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f + 2*f - 20 = 0. Suppose q + 0*q = 4*s - 11, s - 14 = f*q. Suppose -58 = -4*w - s*x, w + 7*x - 22 = 4*x. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 503 minutes before 8:15 AM?\nAnswer: 11:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -335*z - 127. What is the remainder when s(-5) is divided by 28?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 3\/772 or 207\/8?\nAnswer: 207\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -0.3, -1, 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 + 7 + 7*l - 6*l.\nAnswer: l + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 3*m**2 + 5*m. Let p(h) = h. Let t be p(2). Suppose 2*w = -w + 6. Let u(n) = -t*n - w*n**2 + 0*n**2 + n**2. Calculate 4*f(d) + 11*u(d).\nAnswer: d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -y. Let k be q(-5). Suppose -2 = -k*u + 8. Let c(s) = 2*s + 0*s**2 - 6*s - 6*s**u. Let l(h) = -7*h**2 - 5*h. Determine -5*c(m) + 4*l(m).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -57 = -2*g - i, g - 2*i = 6*g - 144. What is the highest common factor of 2 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(1280) - sqrt(1280)*1*3 - sqrt(1280)))\/((4*(sqrt(110) + -2*sqrt(110)) + sqrt(110) + sqrt(110) + sqrt(110))\/(sqrt(88)\/sqrt(72))).\nAnswer: 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -13*k - 2. Let l(w) = -209*w - 33. Calculate 4*l(h) - 66*r(h).\nAnswer: 22*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1968 = 2*g - 7*g - 3*m, m + 4 = 0. Let d(b) = -195*b + 1596. Let h be d(8). Calculate the greatest common divisor of h and g.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = 0*u + 0*u - u. Let f(p) = -p. Let v(m) = -4*m. Let c(k) = 4*f(k) - 2*v(k). Calculate g(c(z)).\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = 3*j**2 - 4*j - 2. Let s be z(2). Let v be ((-18)\/15)\/(-6) - 11\/(-5). Is s equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -2443*v**3 + 3*v**2 + 7*v + 3. Let g be n(-3). Is 1\/(-7) - g\/(-210) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-9)\/(-27))\/(-2 - 8\/6). Let r = 0.13 + -5.13. What is the biggest value in -1, r, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -s**3 + 13*s**2 + s + 3. Calculate the remainder when 31 is divided by y(13).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -p + 243*p - 19*p + 413*p to l + s*p and give s.\nAnswer: 636","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33 = -3*s + 3*c + 243, 0 = 5*s - 2*c - 356. Suppose -s*j - 93250 = -77*j. Round j to the nearest 1000.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = 3*u - 1. Suppose 2*v + 2*v = -40. Let p be ((-6)\/(-15))\/((-1)\/v). Suppose o = p - 0. What is i(o)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -353 - -356. Solve l*t = t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 155381?\nAnswer: 155381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 38974631 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -69*d - 2*v = -72*d + 1654, 0 = -2*v - 4. Which is bigger: d or 552?\nAnswer: 552","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 13 - -16?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = 10*p**2 + 20*p + 49. Let j(k) = -3*k**2 - 7*k - 15. Let s(t) = 7*j(t) + 2*w(t). Give s(-14).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = 5*q + 4*q**2 - 8*q**2 + 14*q**2 - 3 - 4*q**2. Let b(z) = -5*z**2 - 5*z + 3. Let k(m) = -7*b(m) - 6*r(m). Let s be k(3). Solve i - s = 1 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 11 + -5 - (12 + -5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -18*q**3 - 35*q**2 + 6*q + 9. Is b(-6) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 780.7721 micrograms in nanograms?\nAnswer: 780772.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 10*i**3 + 15*i**2 + 5*i - 5. Let s(y) = 11*y**3 + 14*y**2 + 4*y - 4. Let w(b) = 4*f(b) - 5*s(b). Determine t, given that w(t) = 0.\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4813 - -4814. Let l = 2\/2933 - -11618\/167181. Which is bigger: l or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -3*q + 42. Let x be d(17). Let w be 6\/x - (-56)\/21. Suppose -71 = -3*s + w*s. Is 7 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let r(p) be the first derivative of -101*p**4\/2 - p**3 - 2411*p + 1522. Differentiate r(c) wrt c.\nAnswer: -606*c**2 - 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 205 - 112 - ((2 - 1) + -5 - -17)?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -32 + 179. Let j = -80 + o. Suppose 0 = 5*p - j - 308. Is p a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.35 + 2.65. Sort -1\/2, d, -1\/3 in decreasing order.\nAnswer: d, -1\/3, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(11) - (sqrt(1331) + sqrt(1331)*4)**2) + sqrt(275) + 2.\nAnswer: -33273 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 23417864 is divided by 93?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 510568 and 570?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -20, -26, -32, -38, -44, -50?\n\"Answer: -6*o - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k - 2*w - 8 = -6, -2*w = 4. Suppose 4*y + 12 = -k*i + 5*i, i - 4 = -3*y. Solve y = -3*q + 9*q + 12 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.222515 to two decimal places.\nAnswer: 1.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1306 - 1310. Let z(v) be the second derivative of -v + 1\/6*v**3 + 9\/2*v**2 + 0. Give z(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4756 by 3.\nAnswer: 4756\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = i - 11. Let v be d(11). Suppose 5*c + v*c = 0. Suppose 3*u + 4*f = 76 - 12, -u + 4*f = c. Calculate the greatest common factor of u and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.4079841 times 0.4?\nAnswer: 0.56319364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 38\/7, 8\/63, -5 in descending order.\nAnswer: 38\/7, 8\/63, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -24*i**2 - 2*i + 26. Give p(5).\nAnswer: -584","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-708)\/52 - (-62 - -54) - -1.\nAnswer: -60\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in seven eighths of a milligram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 2892761 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -264*o**3 + 21*o**2 + 52*o - 11. Let p be i(-4). What is p rounded to the nearest 100?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q - 82*n + 27270 = -77*n, -5*q = 2*n - 27288. Is 91 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5408 times -0.07?\nAnswer: -378.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 52248952 divided by 232.\nAnswer: 225211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) be the second derivative of -1\/2*u**2 + 0 - 1\/3*u**3 + 3*u. What is the derivative of r(n) wrt n?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 1, v: 8, n: 4, k: 3, f: 1}. Give prob of sequence nn.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 2*s - 4. Let k be t(6). Suppose -5*w + 70 = -5*a, 12 = w + 5*a - k. What are the prime factors of w?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:06 PM and 8:08 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*i = -4*i + 40. What is the greatest common factor of i and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.3?  (a) 2  (b) 0.5  (c) 45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -2*a**2 + 5*a + 1. Let u(d) = d - 1. Let m(b) = g(b) - 4*u(b). Let r(v) = -2*v**2 + v + 4. Give -5*m(j) + 6*r(j).\nAnswer: -2*j**2 + j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -67*l + 141*l - 78*l.\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.3 - 1.3. Let j = -1540 - -3081\/2. Sort 3, j, v in ascending order.\nAnswer: v, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 16\/10 + (-4)\/(-10). Suppose 14 = 4*j + 5*v, -i*v = 4*j - 4*v. What are the prime factors of (-18)\/(j - (1 + 2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 7 - 3. Let n(z) = 948*z + 8. Let f be n(p). What is f rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 195 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*a**4 - 25*a**2 + 45*a**2 + 0*a**4 - 4 + a - 22*a**2 as i + l*a**3 + j*a + u*a**4 + h*a**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*j - n + 16, 0 = -6*j - 252*n + 255*n + 14 - 50 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -1 + -4 + 4 + -16 + -2. Let f = 22 + t. Suppose 0 = -f*m + 12779010 - 73979010. What is m rounded to the nearest one million?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - 371 = -3*x, -6*u + u + 5*x + 490 = 0. What is the highest common factor of 19 and u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14861395.\nAnswer: 5, 2972279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0.1  (b) -0.3  (c) -1\/18  (d) -3  (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -g**2 - 13*g - 36. Let o be f(-4). Which is the third biggest value?  (a) -2  (b) -3  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = m**2 + 6*m + 8. Let a be v(-6). Let x = 14 - a. Solve 0*z - 3*z + 9*z**3 + x*z**2 + 4*z = 0 for z.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 + (5 - 1) - 4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -76.8 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -1304389*u + 1303644*u - 28310 for u.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from fgzgg. What is prob of sequence fffg?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 2\/(1 - (-51)\/(-55)) and -19\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = 2*g**3 + 18*g**2 - 20*g - 2. Let h be t(-10). Let i be ((-108)\/(-63))\/(2\/28). Sort -5, -3, i, h.\nAnswer: -5, -3, h, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*((-2*sqrt(1539)*5)**2 + 5 - ((5*sqrt(1539)*-2 - sqrt(1539)) + sqrt(1539) + -4)).\nAnswer: 540*sqrt(19) + 923454","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) be the first derivative of b**3\/3 - 5*b**2\/2 + 7. What is t(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*s**3 + 9*s - 9*s - 10*s**3 - 3*s**3.\nAnswer: -19*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 1 + 3316*s + 3837*s.\nAnswer: 7153*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) be the first derivative of -4*r**3 + 444. Let h(z) = 17*z. Give x(h(y)).\nAnswer: -3468*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ccjc when four letters picked without replacement from cccjjcccc?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find l, given that 50*l**2 + 95729*l + 1450*l**2 + 165*l**4 - 94969*l + 910*l**3 - 5*l**5 = 0.\nAnswer: -2, -1, 0, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -66 = -11*k + 759. Does 29 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 3.291302kg?\nAnswer: 3291.302","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 1 - 1)*((-1 + v + 1)*(-4 + 21 + 9) - 2*v + 2*v + 2*v).\nAnswer: 28*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + 9896?\nAnswer: 9892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide -41768489 by -26089.\nAnswer: 1601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) be the first derivative of -464*w**3\/3 + 1483*w**2\/2 + 564. What is the second derivative of d(x) wrt x?\nAnswer: -928","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-5)\/(-2) - (-1)\/2. Let x be v\/12 - (-22)\/8. Let k(h) = -2*h + 22. Let w be k(9). Solve 2*t + 14 = -x*p, -w*t = -p + 6 + 8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 6 + 50?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -142 + 143 - (6 - 1). Put 4, 12, -21, v, 1 in decreasing order.\nAnswer: 12, 4, 1, v, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) be the second derivative of -3*l**3\/2 + l**2\/2 + 72*l + 1. Let i(u) = -4*u. Calculate s(i(k)).\nAnswer: 36*k + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -t**2 - 305*t + 1554. What is s(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pwpwwwppwwkwq. Give prob of sequence kq.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -1\/2554120 and 39\/1277060?\nAnswer: 2554120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 103 - ((53 - -118) + -81).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 20*g**2 + 1512*g - 608.\nAnswer: 4*(g + 76)*(5*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 4\/(-7*(-140)\/(-98))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4729 is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = d**2 + 3*d - 30. What is g(-7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2110301323 (base 4) in base 3?\nAnswer: 1010221221111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 211717 to the power of 1\/4, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i - 28 = 579*y - 578*y, y + 4*i = -22. Solve b = -2*h, -b = y*b + b for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 4 + 1\/2*-2. Suppose -4*n + 17 = m*i, 4*i - 7 = n + 3. Is n a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -34272, -34279, -34290, -34305, -34324, -34347, -34374?\n\"Answer: -2*h**2 - h - 34269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/9 in -1\/25, -2, 3, -13?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -1, 25, 0, -0.3, -1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b + 4300 = 5*f, 4*b - 3431 = -4*f - 7. Suppose 7203 - f = 15*u. What is the remainder when u is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -39335, -78669, -118003?\nAnswer: -157337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 81125 - 1621867\/20. Let a = 129\/4 - m. Put 2\/13, 5, a in increasing order.\nAnswer: 2\/13, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 - 1106?\nAnswer: -1102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 107104\/66940*(-2)\/(62\/5)?\nAnswer: -8\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by -5410291\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2376 + 2377.073. What is g rounded to 1 dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 12 and 7527.\nAnswer: 30108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 230, 489, 774, 1085, 1422, 1785?\n\"Answer: 13*w**2 + 220*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - m - 16 = 0. Let g = m - 5. What is the second derivative of -y + 4*y**3 - y**3 + 0*y + g*y wrt y?\nAnswer: 18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) be the second derivative of v**5\/20 - 5*v**4\/12 + 2*v**2 + 8*v. Let r be k(5). What is the third biggest value in -3, r, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/16 of a centimeter in micrometers?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 44 - 20. Let q = -23 + o. Let d = -15\/13 - -1. Which is the nearest to 1?  (a) d  (b) 4\/7  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 420 = -3*h + 6*h. Does 17 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*y**2 - y + y)*(y - 2*y + 0*y) + (0 + 0 + y)*(4*y**2 + 8*y**2 - y**2) to the form x*y + u*y**3 + w + d*y**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) be the second derivative of 128*f**7\/21 + 619*f**3\/3 - 973*f. What is the second derivative of p(v) wrt v?\nAnswer: 5120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -544199593*c**3 + 7488084*c - 20 wrt c?\nAnswer: -3265197558*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -60b9 + 573?\nAnswer: -5946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -122 + 129. Let r(v) = -v**2 - 8 + 27 - 6*v - u - 8. Let f = -11 - -5. What is r(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-476)\/20*5\/3. Suppose r = -u + 39, -2*u = -0*u + r - 79. Let z = u + y. Which is the closest to -2\/3?  (a) 0.3  (b) z  (c) 6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1 - -112001?\nAnswer: 112000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-87653)\/(-9476))\/((-1)\/1)*(-4)\/1?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -2\/13  (b) -2\/5  (c) 194\/23  (d) -0.11  (e) 51\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 1, t: 2, x: 4, y: 6}. Give prob of sequence xtxt.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6*1\/8*1.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find m, given that -m**2\/4 - 38017*m\/2 - 56984689\/4 = 0.\nAnswer: -75277, -757","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -1 - (0\/(-2) + -3). Suppose -x*q = -6*q + 12. Suppose q*w + 0*s + s - 57 = 0, -2*s + 57 = 3*w. Calculate the remainder when 36 is divided by w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -590*j**3 + 12*j**2 - 13*j. Let i(a) = -98*a**3 + 2*a**2 - 2*a. What is 13*i(h) - 2*m(h)?\nAnswer: -94*h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 7 = -k - 50, -45 = -3*x - 3*k. List the prime factors of (-60)\/9*x\/(-15).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 24 divided by -9742\nAnswer: -12\/4871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 6 + (-4)\/(-16)*(-611)\/26. Factor 0*y + i*y**3 - 3\/8*y**2 + 1\/2.\nAnswer: (y - 2)**2*(y + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from laadcjjlyaljady. What is prob of sequence jjc?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6618*h + 29230 + 10478 = 0 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 3\/((-12)\/8) + 0. Let r be (-25)\/2 - 1\/n. Let q = r + 25. What is the highest common factor of 91 and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-1\/6))**(4\/13)*(k**(-4)*k)\/k*k**5*k assuming k is positive.\nAnswer: k**(76\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 95929, 95983, 96037, 96091, 96145?\n\"Answer: 54*r + 95875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 - 8 - (-2 + 1 + -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) be the third derivative of 1\/72*m**6 + 0 - 2\/315*m**7 + 0*m**4 + 0*m + 1\/1008*m**8 + 0*m**3 + 2*m**2 - 1\/90*m**5. Determine x, given that t(x) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -36, -87, -138, -189, -240, -291?\nAnswer: -342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 5  (b) -13.9  (c) -0.013\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -9948145 and 0.5?\nAnswer: -4974072.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(15)*-1*-2)\/((sqrt(20)*3)\/sqrt(4)).\nAnswer: 2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38 = -y - 4*x - 6, y = -5*x + 30. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2\/5 or -6?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8*w**3 + 8*w**3 - 4*w**4 - 2 - 2*w**4 + 2 + (3*w**2 + 15 - 15)*(-w**2 - w**2 + 5*w**2) to the form z*w**2 + m*w + k + j*w**3 + s*w**4 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 10*h**3*i*z + h**3*m - 6*h**3*z - h**2*i - h**2*z - h*i*m + 32*i*m - 3*m*z wrt m?\nAnswer: h**3 - h*i + 32*i - 3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -17\/5 and -137\/8050.\nAnswer: 8050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 73.85 and 23740232450?\nAnswer: 23740232376.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 4\/2 - 60\/36. Suppose 5\/6*v + 1\/6*v**3 - 2\/3*v**2 - o = 0. What is v?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -2, 4, 0 in descending order.\nAnswer: 4, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 - 11 = -5*a. Let i = 7\/6 - -1\/3. Let d = 213.1 + -213. What is the smallest value in d, i, a?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22181984873 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 62\/315 and 17\/15.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -11 - (11 + -16 + 19)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1092 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -334, -482, -734, -1090, -1550, -2114, -2782?\nAnswer: -3554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = n**2 - 4*n - 5. Let m be g(8). Suppose 30*s - 49849230 = m*s. Let f = -24016410 + s. Round f to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -479*t + 36566. Calculate i(76).\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 51507 + -51506.999968949. Round a to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 10632, 10566, 10498, 10428, 10356, 10282?\n\"Answer: -t**2 - 63*t + 10696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-2\/7))**46 assuming z is positive.\nAnswer: z**(-92\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -2*f**3 + 79*f**2 + 41*f - 34. Let g be m(40). Suppose x = 4, -2*s - 2*x = -8 - g. Solve 0 = -5*p - 2*y - 19, 9 = -4*p - s*y - 2 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 58 and 2781593.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 99.17922ns to seconds.\nAnswer: 0.00000009917922","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) be the first derivative of -v**8\/8400 - v**7\/2100 + v**5\/300 + v**4\/120 + 4*v**3\/3 - 171. Let i(s) be the third derivative of y(s). Factor i(h).\nAnswer: -(h - 1)*(h + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 564  (b) 0.3  (c) -21\/118\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -118 - -118.2751. Round r to two dps.\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3684 and 42980?\nAnswer: 1228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 88, 90, 78, 46, -12, -102, -230, -402?\n\"Answer: -r**3 - r**2 + 12*r + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (1 - (-3)\/(-4))*4. Suppose 2*k = 2*i + 3 - 13, 0 = 5*i + 5*k - 25. Solve -r + 2*r + 3*c = o, -i*r + 5*c - 15 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.0320835 times -0.3\nAnswer: 0.00962505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 212112110 - -441?\nAnswer: 212113101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.63 + -0.671. Let i = l - 0.459. Which is the biggest value?  (a) 2  (b) 0.3  (c) -0.1  (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1879962505?\nAnswer: 5, 19, 19789079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1\/2*0*1. Let y = -2.5143 - -5.5143. Let p be 8\/6*2\/8. What is the nearest to -9 in r, y, p?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:37 AM and 10:01 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:57 AM and 1:12 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -434 divided by -434?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -q**2 + 11*q - 19. Let x be a(8). Suppose -2*b - 2*v = -b + 3, -5 = -x*b - 5*v. Suppose 0*u = 4*j - u + 19, -b*u + 19 = -j. Is -2 less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 (base 6) in base 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0405 plus 0.080818739?\nAnswer: 0.121318739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4 by -22.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 73\/4 and 89\/208.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.1 * -1.9.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 23913.\nAnswer: 3, 2657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 284124+-3524\nAnswer: 280600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b*b\/((b\/((b\/b**(-2\/33))\/b)*b)\/b*b))**49*b\/(b\/b**(-43)*b*b)*b*b\/((((b**32*b)\/b)\/b)\/b))**(2\/11) assuming b is positive.\nAnswer: b**(-4622\/363)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000166157575 rounded to 5 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7071016737.\nAnswer: 3, 17, 131, 1058377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 12003 - 11?\nAnswer: 11332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 257155 is divided by 5993?\nAnswer: 5449","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 144*b**2 + 2*b - 1. Let z be v(-2). Suppose 109 = -7*k + z. Let u be 1\/(-2) - k\/(-12). Solve 4*d + 0*i + 9 = i, -12 = -d + u*i for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1951.0152 - -1954. Let i = y + 0.0152. What is the third smallest value in -0.3, i, 3\/7, 0.1?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -88.66 + 88.726595. Let s = m + -0.0619. What is s rounded to four decimal places?\nAnswer: 0.0047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 19350074 is divided by 53.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 28*v**2 + 10872*v + 1614. Calculate x(-388).\nAnswer: -1490","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 337021 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1416579, 1416616, 1416653, 1416690?\nAnswer: 1416727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 35*p + 4 + 66 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7967 = -127*y + 7611 + 14961 for y.\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 141 - (40\/(-18) + (-6)\/(-27)). Let x = m - 138. Does 2 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from {m: 2, i: 7}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 1183586623 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = l**3 + 6*l**2 + 5*l + 5. Let s be v(-5). Suppose 2*o + 3*j = 16, o = -4*o - s*j + 30. What is the second derivative of -b + 3*b - 4*b + o*b**2 wrt b?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from abaag. Give prob of picking 1 g, 1 a, and 1 b.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 47*w**2 + 66*w**2 + 25*w**2 - 176*w**2.\nAnswer: -38*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yzxvvyvvzyyvlvyygzvy. What is prob of picking 1 g and 1 l?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 81 = j. Let l = 43 - j. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 573 at most 555?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0538758 to 3 dps.\nAnswer: -0.054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 30 - 28. Suppose 0 = -5*o + f*d - 22, 4*o + 18 + 14 = -2*d. What is the common denominator of 3295\/(-330) - o\/(-33) and -28?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -88420 divided by 1?\nAnswer: -88420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -5*(-11)\/(-55)*-1. Which is the smallest value?  (a) h  (b) 1\/2  (c) -4  (d) -3  (e) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of d*m**2 - d*m + 785*d + 136*m**2 wrt m?\nAnswer: 2*d*m - d + 272*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -12 in 12, -89, 2\/11, 5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w = -2*y - 1042, 3*w = 5*w + 10. Let s be (-4)\/(2 + 2) - y. Suppose -s = -7*k + 1141. Is k a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 766.6 to the nearest 10.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 543*k - 1081. Let z be r(2). Suppose 0 = -3*f - f - 8. Which is the fourth smallest value?  (a) z  (b) -0.3  (c) -4\/15  (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -j**2 - j + 2. Let l be i(0). Let b = l - -10. Does 5 divide 4\/(-4) - b\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 21\/(-28)*(-16)\/(-90)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -30, -14, 26, 102, 226, 410, 666?\nAnswer: 1006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*w**3 + 918438*w**2 - 3*w + 3947251 wrt w?\nAnswer: 6*w**2 + 1836876*w - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (1*sqrt(19)*-2*-2)**2*3 - (-3*(sqrt(19)*-1*1 + sqrt(19) + -2)*-1)**2.\nAnswer: 874","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 2851, 5699, 8547?\n\"Answer: 2848*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 4  (b) -0.07  (c) 4\/3  (d) -3  (e) 194  (f) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - 24501 = -2*d + 33915, 5*q + 3*d = 58414. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 0\/1*(0 + 1). Suppose x + s = 4. Suppose 9*k - x*k = 50. Calculate the remainder when 18 is divided by k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -9011*y**2. Let v(b) = -40*b. Determine v(u(p)).\nAnswer: 360440*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -10872362, -43489435, -97851222, -173957723?\nAnswer: -271808938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -g + 5. Let s be w(0). Suppose s*z = 3*z + 4. Find the third derivative of 24*b**z - 12*b**3 - 21*b**2 - 3 + 3 wrt b.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -1584551, -1584552, -1584553, -1584554?\n\"Answer: -h - 1584550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 4993635 - -3?\nAnswer: 4993638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sum 215.6696 and -0.0632.\nAnswer: 215.6064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 20 - 20. Solve 0 = -5*z - j*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -a**3 - 3*a**2 + 4*a + 4. Let q be u(-4). Suppose 10 = -q*l - 38. Let t = l + 53. Is 17 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/14?  (a) 76  (b) 5  (c) -3  (d) -2  (e) -13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3 - 1)*(2*y - 6*y - y)*(33 - 18 + 25)*(4*y - 4*y - y**4).\nAnswer: -200*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 39*j. Let v(d) = -5*d + 21796. Give v(s(p)).\nAnswer: -195*p + 21796","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence leem when four letters picked without replacement from {c: 2, l: 1, e: 5, v: 3, m: 1}.\nAnswer: 1\/594","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:10 AM and 12:22 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 150 and 343242?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 40643 and 4947.\nAnswer: 2072793","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (r**3 + r**2 - r**2)*(-6 - 1 - 7)*(1 + 1 + 0) + r**3 + r**3 + 0*r**3.\nAnswer: -26*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.08 - 0.32. What is the closest to 1 in t, -0.01, -2?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.26391733420639 - 4466543.90608350579361. Let v = c - -4466534.17. Let a = 10 + v. Round a to seven dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -5764, -22909, -51434, -91339, -142624, -205289, -279334?\nAnswer: -364759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(sqrt(75) + -1 + 1)**2 + (-6*(sqrt(192) + 0 + sqrt(192))*-3)**2.\nAnswer: 249282","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -8534033*z**4 + 2*z**3 + 68504204 wrt z.\nAnswer: -34136132*z**3 + 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*f + 3*c - 5334, -5*c - 3881 = -4*f + 401. Let d = -1063 + f. Let h be -2 + (-1*8)\/(-2). Which is greater: d or h?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -48*o. Let a(r) be the third derivative of 0 + 0*r - 146*r**2 + 0*r**3 - 1\/30*r**5 + 0*r**4. Calculate k(a(u)).\nAnswer: 96*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5440.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Product of 11051 and -8740.\nAnswer: -96585740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1215.4 - -829.3. Let t = n + 386. What is the nearest to t in -2\/19, -4, 4?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 543350571 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: Suppose -24*g = -20*g - 12. Let q = 17 + -12. Let u = -1 + 0.5. Which is the biggest value?  (a) u  (b) q  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33 = w + 5*l, -l + 51 = 3*w - 2*l. What is the lowest common multiple of 10 and w?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -301042 (base 8) to base 16\nAnswer: -18222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -431*o**3 - 35*o**2 + 35*o**2.\nAnswer: -431*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 3*l - 4, -4*i - 2*l = -40. Suppose 629 = -i*s - 46. Let w = -53 - s. Are 23 and w nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.1 - -1.1. Suppose 2*y + 8 = -2*g, 4*y - 5*g - 4 = -11. Which is the nearest to -1\/6?  (a) -5  (b) q  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 1 - 5)*(0*l + l - 3*l) - 5 + 5 + 2*l - l + 2 - 2 - 1 + 1 - l + 3*l - 2*l - 5*l + (0*l - 4*l + 3*l)*(1 + 0 - 2).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 816767 or 2\/5?\nAnswer: 816767","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bbbp when four letters picked without replacement from bpttpbtppbibp.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 429 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 1366, 2730, 4094, 5458, 6822?\n\"Answer: 1364*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) be the third derivative of 3289*z**5\/60 + z**4\/8 - z**3\/3 - z**2. Let j be -22*3\/(-6) + (-980)\/98. Let d be q(j). Round d to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4 + -4. Let p = 1 - a. Let z = p - 2. Is z <= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -s**3 - 16*s**2 - 15*s + 14. Let g be q(-15). Suppose b + 4 + 4 = 0. Let r = g + b. Is r a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0933094 to 2 dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = 3*t**3 - t**2 - 9*t - 79. What is h(-5)?\nAnswer: -434","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -6 + 18. Let u be (72\/10)\/(12\/80). What is the greatest common factor of f and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 - 27) + 74 + -68?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.03103 to three dps.\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 7344 and 2652?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 53\/5 of a milligram?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (9*(-19)\/(-171))\/(-1*3)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -0.1278543*-4\nAnswer: 0.5114172","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Does 1127 divide 62034588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000000854454 rounded to seven decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39848 = 14*h - 6*h. Suppose 5*x - x + 3*o = h, 5*x - 6260 = 3*o. Let k = x - 2279. What is k rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8 + ((1 - 0) + 19 + -30 - -2).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 235182.841 rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -n**3 + 25*n**2 - 39*n - 16. Calculate l(23).\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 9 and 503343?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*s + 2*h + 5, 5*h + 452 = -2*s + 429 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = 588139*c - 588134*c - 18 - 6. Give u(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (0 - 6)*(-12)\/(-8) - -1. Let f be (4\/q + -2)\/((-2)\/(-4)). Which is the third biggest value?  (a) 2  (b) -4  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-6)\/9*27\/6. Let s be (-146000)\/h*(-12 + 9). What is s rounded to the nearest ten thousand?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 84746.07 centuries?\nAnswer: 8474607","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*j + 110000 = 8*j. What is j rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 8 - 3. Let t be (-100)\/(-24) - (5\/30)\/1. What is the second derivative of -b - 2*b**g - b - t*b wrt b?\nAnswer: -40*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -89\/1460 and 31\/4167132.\nAnswer: 20835660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-692)\/865)\/(4\/3). Suppose 4*t - 1 = -3*g, -g + 3*t - 10 = 7. What is the third biggest value in 3, p, g, -0.5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = s - 35820*n + 35821*n + 7, -3*s - 17 = n for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1.6 + -0.4. Let v = -116.7 - -117.2. Which is the third smallest value?  (a) i  (b) v  (c) 1\/3  (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 12\/19 + -79\/95. Suppose 56 = -10*l + 3*l. Let g be 4\/l + 1\/(-6). Sort z, 2, g.\nAnswer: g, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 30352993?\nAnswer: 11, 631, 4373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 35 = 26*y - 81 - 66 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -22*o**3 - 16*o**2 - 6. Let r(i) = -43*i**3 - 31*i**2 - 11. Let d(p) = 11*a(p) - 6*r(p). What is the third derivative of d(u) wrt u?\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -w + 93 = 91 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -259 - -259.5. Suppose 3*y - 17 = 4*l, 3*l = 3*y - 2*y - 9. What is the biggest value in j, l, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 333 (base 4) in base 2?\nAnswer: 111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2 + 2 - y**4 - 5*y**2 + 0*y + 0*y + y**4 + (y - 4 + 4)*(-29 + 29 + 36*y**3).\nAnswer: 36*y**4 - 5*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*w - 2*l = 0, -8*w + 2*l = -10*w - 16 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -7483, -7480, -7477, -7474, -7471?\nAnswer: -7468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -130 - -271. Does 46 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18*j - 29 + 18 + 11.\nAnswer: -18*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/5, 3, 36, -19, 16\/9 in increasing order.\nAnswer: -19, -2\/5, 16\/9, 3, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = x**2 - 12*x + 11. Let m be q(7). Is m less than or equal to -23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 5, 15 in ascending order.\nAnswer: 4, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) be the first derivative of -2*p**3 - 9*p**2\/2 + 140. Let u(x) = x. Give b(u(m)).\nAnswer: -6*m**2 - 9*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -707519 - 27355.53?\nAnswer: -734874.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 q and 1 d when three letters picked without replacement from {y: 9, q: 3, d: 7}.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - 4*g = -10, -2*r - 2*g - 5 + 17 = 0. Suppose -3*m + 39 = 2*h - 17, 0 = -r*h - m + 64. Is h a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.3, -4, 0.2, -0.1 in ascending order.\nAnswer: -4, -0.3, -0.1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2640 and 3308670.\nAnswer: 291162960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -14, 10 in descending order.\nAnswer: 10, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.08433  (b) -1  (c) 0.07  (d) 0.1  (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 18?  (a) -0.5  (b) 0.3  (c) -0.09  (d) 2.11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 45450 >= 45447?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5154692 is divided by 188.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 332 minutes after 1:20 AM?\nAnswer: 6:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 11801022?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 1, b: 3, r: 6, j: 8}. Give prob of picking 1 v and 1 j.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -q**3 - 12*q**2 + 9*q - 9. Let i be o(-10). Let b = i - 16. What is the common denominator of b\/144*52\/(-10) and -41\/7?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 41047 - 19154. Suppose -18*r + f = -3127. List the prime factors of r.\nAnswer: 2, 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = n. Let w(q) = -4*q. Let y(l) = 5*b(l) + w(l). Let u(d) = -2*d. Let g = -2 + 1. Let h = g + -4. What is h*y(j) - 3*u(j)?\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -12.14 - -0.14. Let f = p + 12.245. What is f rounded to 2 decimal places?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -54, -91, -114, -117, -94?\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 463898.1 kilometers in centimeters?\nAnswer: 46389810000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 112 and 287.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1152\/(-80 + 44) + -8.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 = 6*u + 7*u. Sort -4, u, -5, -1.\nAnswer: -5, -4, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2154677 to the power of 1\/2, to the nearest integer?\nAnswer: 1468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 526  (b) -43  (c) -5\/6  (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 2145*f + 6560. Give k(-3).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -3*j + 4, -2*o - 8 = -3*j. Let z = 6 - o. Suppose 0 = -z*n - 97 + 333. List the prime factors of n.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2\/7  (b) 4  (c) 16  (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -14365630 - 1?\nAnswer: -14365631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10729 is divided by 10560.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.6, -12554, 5, -0.3, -71?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -8\/157 - -285\/2512. Let y(f) be the third derivative of 0*f**3 - 10*f**2 + i*f**4 - 1\/20*f**5 + 0 + 1\/80*f**6 + 0*f. Determine v so that y(v) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3292, -3524, -3756, -3988, -4220?\nAnswer: -4452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -12, 1, 3 in decreasing order.\nAnswer: 3, 1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is ca1662 (base 15) in base 10?\nAnswer: 9623567","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -481 - -476.74. Let u = l + 0.26. What is the third biggest value in -0.2, 5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -56\/27 and -36\/11?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6248.\nAnswer: 2, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13853 is divided by 13409?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jjvpddddggdd. Give prob of picking 1 p and 1 v.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express 3 - s - 3 + (1 + 1 - 4)*(-s - 3*s + 6 + 5*s) as v*s + l and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7 - (33\/(-6) + (35\/(-14) - -4)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*x**2 - 2*x**3 + 0*x**2 + 193*x + 5*x**2 - 191*x + 2 in the form i + g*x + k*x**3 + u*x**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -37.92 to zero dps.\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 16 and 972?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4 + -13. Suppose 4*q = 3*j + 380, j - 134 - 151 = -3*q. Calculate the common denominator of u and (q\/8 + 0)*4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -45*f**3*s + 3*f**3*x + 5*f**3 + f**2*s*x + f*s*x + 16*f*s + 2*f wrt f?\nAnswer: -270*s + 18*x + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) be the second derivative of -3*v**5\/10 - 5*v**4\/12 - 7*v**3\/2 + 11*v**2\/2 + 13*v. Let g(q) = q**3 + q**2 + 4*q - 2. Calculate 2*d(i) + 11*g(i).\nAnswer: -i**3 + i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -18 - -18. Suppose -3*u = -2*p - 8, 3*p + 4*u + 16 + 13 = w. Let l(s) = -4*s + 5. Is 33 a factor of l(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.5 and -67266.3.\nAnswer: 33633.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -192481, -384997, -577513, -770029, -962545, -1155061?\nAnswer: -1347577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2583 divided by 3.\nAnswer: -861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 10*a + 1. Suppose 0 = 3*v - 5*v - 4*l - 6, 5*l = -2*v - 10. Let t = 4 + v. Is i(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -t**2 - 3*t + 2. Let q be l(-3). Suppose -3*i + y - 14 = -4*i, 0 = -5*y + 25. Suppose 5*z = m - 19, 3*m - i = -0*m + 3*z. Sort m, q, -5.\nAnswer: -5, m, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) be the third derivative of -11*x**6\/240 + 23*x**5\/240 + 5*x**4\/96 - x**3\/4 - 105*x**2. Determine c, given that f(c) = 0.\nAnswer: -1\/2, 6\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 2*m - 5. Let s be 2\/(-10) - 26\/(-5). What is the units digit of d(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/z**(-2\/11))**(-35) assuming z is positive.\nAnswer: z**(-455\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -691*o**3 - 45*o**2 - 234*o + 59. Is d(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 256 and 2317888?\nAnswer: 9271552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -9875 - -22075. Is m a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -40874 - -65232. What is the thousands digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -41.49 and -0.4.\nAnswer: 16.596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) be the first derivative of m + 12. Let r(q) = 15*q - 11. Let a(u) = 4*i(u) + r(u). What is the first derivative of a(s) wrt s?\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*j + 10 = -7*z - 89, 3*z = -2*j - 26 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -3 - (-41)\/(-20)*-6 and -58\/5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 425*d**2 + 235*d + 468*d**2 - 877*d**2 in the form k + v*d**2 + g*d and give g.\nAnswer: 235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*b**4 + 360*b**2 + 1296 + 1080*b + 1\/6*b**5 + 60*b**3.\nAnswer: (b + 6)**5\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 281187130?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 3*r**3 + 4*r - 6. Let m(b) = -5 + 2 + 0*b**3 + b + b**3 + 2. Let f(v) = g(v) - 4*m(v). Differentiate f(j) with respect to j.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 4*p - 6. Let d(b) = 0*b**3 + 9 + 7*b**2 + b**3 - 16*b**2 - 11*b. Let m be d(10). Put m, -2, p in descending order.\nAnswer: p, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 139 minutes before 11:45 AM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**11\/w)\/(w*w\/(w\/w**41*w)) assuming w is positive.\nAnswer: w**(-31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = y - 1. Let z be 2 + (-9)\/3 + -1. Let g = -63 - -49. Let r(d) = -3*d**2 - 7*d + 12. Let m(n) = g*k(n) + z*r(n). What is the derivative of m(f) wrt f?\nAnswer: 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (16\/(-28))\/((-2)\/7). Let f be (-2 + 5)\/(q\/(-4)). Are -6 and f nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -233, -506, -871, -1382, -2093, -3058, -4331, -5966?\n\"Answer: -9*u**3 + 8*u**2 - 234*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 1047, 1049, 1053, 1059, 1067, 1077, 1089?\n\"Answer: a**2 - a + 1047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -2*-15*(-9)\/90. Sort 1, 93, i.\nAnswer: i, 1, 93","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2 + -5 - (1 + -3). Suppose 40 = 3*o - f, -o + 3*f + 5 = f. Suppose -4*q - q = -o. Which is the biggest value?  (a) -1\/7  (b) q  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 592\/33 + -18. Is m < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -23111 (base 4) in base 12?\nAnswer: -505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -2*z**2 + 1. Suppose 5*s + 3*p = 12, -s + 5*p + 3 = -5. Suppose 4*d + s = d. Determine k(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2*1*((-13)\/(-2) + -4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*t**3\/9 - 44*t**2\/3 - 476*t\/9 - 116\/3.\nAnswer: -4*(t + 1)*(t + 3)*(t + 29)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6613*m**3 - 3230*m**3 - 3316*m**3.\nAnswer: 67*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.1 - 432773634822.\nAnswer: -432773634822.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3 and 158.\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 104*p - p**3 - 2*p**3 + 33179*p**2 - 33347*p**2 + 67*p = 0 for p.\nAnswer: -57, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 92447 plus -106?\nAnswer: 92341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 28 - (0 + 1) - 4. Let w = a + -23. Put -3, -5, w in increasing order.\nAnswer: -5, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:56 AM and 2:24 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express -22 - 242*q**2 + 11 + 14 + q**2 + q**2 + 0*q**2 + (-q - q + 3*q)*(2*q + 0*q - q) as k + x*q**2 + c*q and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 608\/48*((-675)\/2)\/3. Do u and -1424 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 209 a factor of 26452921?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -4.0105 and 2?\nAnswer: 6.0105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:34 PM and 3:36 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 1320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -8*f**3 - 2*f**2 - 7. Let j(b) = b**3 - 3*b**2 + 3*b. Let a be j(2). Let v(y) = 6 + y**3 - y**2 + y**2 + a*y**2 + 6*y**3. Determine 6*h(r) + 7*v(r).\nAnswer: r**3 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i = -4*w + 897738, -197*w + 2*i = -195*w - 448864. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-6)\/(-4))\/((-2)\/(-4)). Suppose 5*w = -0*w + 50. Solve 3*m + 2*a + 2 = 0, -3*a = x*m + a + w for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 23881*h**5 + 68*h**2 + 2*h - 27654?\nAnswer: 477620*h**3 + 136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -406*l - 257881 + 243265 for l.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = 1126*g**2 + 1425*g + 291. Calculate a(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -260 (base 14) in base 8?\nAnswer: -734","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -252 - -249. Let v be (16\/(-44))\/((-2)\/(-1)). What is the third biggest value in -2\/3, l, v, 5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = p + 14. What is the smallest common multiple of g(-10) and 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -3*c - 74 + 2*c + 69. What is w(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -p**2 + p - 1. Let k(z) = -z**2 - 5*z + 8. Let l = -2 - -1. Let s(d) = l*k(d) - 2*x(d). Factor s(r).\nAnswer: 3*(r - 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/6 + 31 + -108*(-33)\/(-88)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.019808 + -0.0198. Round j to six dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -1086525, -8692197, -29336159, -69537555, -135815529?\n\"Answer: -1086524*h**3 - h**2 - h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*d = 3*j - 11, -5*d - 126*j - 61 = -129*j for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -149013 to the nearest one thousand.\nAnswer: -149000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 14176\/2360 + (-2 + 0)\/2 + -5. Which is smaller: s or 3\/10?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 40\/99 and 83\/1260.\nAnswer: 13860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 19\/8, 1501, -3, 46?\nAnswer: 1501","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express -169*j - 172*j + 16723*j**2 - 16718*j**2 + 1 as x + t*j**2 + y*j and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 294, 289, 282, 273, 262?\nAnswer: 249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (140 - 12) + (-1 - -2 - 0) + (-93 - -90)?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 + 136615*t**3 - 1 - 136613*t**3.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*b + 1245 = 1257 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.9, -1\/2, -21, 5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 11*c*q**3*y + 41243*c*y + 3*q**3*y - 13401*q**2*y + q**2 - y wrt c?\nAnswer: 11*q**3*y + 41243*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 21331113 + -11?\nAnswer: 21331102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((f**4*f\/f**10)\/(f*f\/((f**4*f)\/f))**(6\/13))**34)**(-20) assuming f is positive.\nAnswer: f**(36040\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-k**3 + 0*k**3 + 2*k**3)*(1 + 0 - 3) + (25475 + 0*k + 5*k**3 - 25479 - k)*(2 - 1 - 2).\nAnswer: -7*k**3 + k + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + 5*(sqrt(11) + 1)**2 + 0.\nAnswer: 10*sqrt(11) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1410\/1880*(-32)\/204?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -6 + -1. Let m = -3 - d. Find the third derivative of 2*l**2 - 4*l**4 + l**m + 2*l**4 wrt l.\nAnswer: -24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 571*0.3\nAnswer: 171.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find d, given that 5*d**3 - 1090*d**2 + 71040*d - 1198080 = 0.\nAnswer: 26, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-52)\/(-351))\/(4 - 70\/15). What is the nearest to -1.21 in 1, -1\/12, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 793 - 172873\/218. Do -1 and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v\/(v\/(v**(-12\/11)\/v)*v))\/v**(-11\/6) assuming v is positive.\nAnswer: v**(-17\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1.14 - 0.06. Let s = 0.2 + z. Let h = -5 + 2. Sort s, h, -4.\nAnswer: -4, h, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -84 + 69. What are the prime factors of (-517)\/(-2) + w\/30?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 5 and 241457.4.\nAnswer: 241462.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -137, -639, -1477, -2651, -4161?\nAnswer: -6007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 49676398 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 569\/7 + -4741\/56. What is the common denominator of a and (-6)\/(-15) + (-814)\/60?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 823?\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + 2*i = 4*r - 1, 4*i + 20 = 0. Solve -h + r = -2*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*a*r**3 + a*r**2 + 1341*a*r + 2*r**3 - 222*r**2 + r - 3 wrt r?\nAnswer: 12*a*r + 2*a + 12*r - 444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = a**2 - 9*a + 8. Calculate g(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0356688 rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 300 is divided by 141.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 35 a factor of 11025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = 27*n**2 - 2*n. Suppose 0 = 15*r - 12049 - 2891. Let h(l) = r + l**2 - 996. Determine h(v(z)).\nAnswer: 729*z**4 - 108*z**3 + 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 203 + -5?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 14.38748 rounded to 2 dps?\nAnswer: 14.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.3 and -1.87?\nAnswer: 2.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1284 and 344219.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 295 - 143. Suppose 28 + a = 4*g. Let q be (g\/(-6))\/(2\/(-12)). What is q rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3505893019 to the power of 1\/4, to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g\/((g**(-2\/5)*g*g)\/g))**23)**(4\/13) assuming g is positive.\nAnswer: g**(184\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yuuuybyyybbyuy. What is prob of sequence yu?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.4 - 0.2. Let z = 3 - 3. Let u = z - -2. What is the closest to u in k, -5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.1  (b) -0.01  (c) 47\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-2 + (-3 - -2))*1. Let n(w) = 3*w**2. Let k be n(1). Suppose -5 = 2*p + k. Which is smaller: p or f?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2853500)\/(-17560)*(-8)\/10\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5*q**2 - 22 + 22)*(147*q + 743*q + 606*q - 424*q) to k*q**2 + f + i*q**3 + h*q and give i.\nAnswer: 5360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 516 is divided by 156.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 2 divided by -14250\nAnswer: -1\/7125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -8 - 2*y + 8. Let u(f) be the third derivative of 3*f**2 + 0*f**3 + 0*f - 1\/6*f**4 + 0. Calculate o(u(l)).\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-2)\/(-4))\/(18\/258372) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (0\/20)\/(2*5*(-4)\/40)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -26 + 18. Let z = r - -8. Suppose z = -t + 6 + 18. 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: Suppose 4*h = 2*z + 30, 2*z + 5*h - 9 = 6. Let o be (-2)\/z - 26\/(-10). Suppose -2*a + 172 = 4*y, o*y - 2*a = -0*a + 136. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 6*x - 1)*(-2 + 1 + 0)*(-2*x**3 + 4*x**3 - x**3).\nAnswer: -6*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 3 b when four letters picked without replacement from {b: 4, i: 5, e: 5}.\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 153 minutes after 11:34 AM?\nAnswer: 2:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9550*p - 36713*p = 8343*p + 4402744 for p.\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - 10 = 0, -s - 6 = -4*o - 2. Let p(t) = 2*t + 1. Let n be p(-4). Let x = s + n. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7624*f**2 - 7699*f**2 + 22877*f**2 - 7669*f**2.\nAnswer: -115*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -62832039953892 + -5\nAnswer: -62832039953897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 28024163 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express -11*g**2 + 4*g**2 - 7*g**2 + g**2 as w*g + x*g**2 + y and give x.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -131\/30 and 1\/42?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1012 * 10.1622.\nAnswer: -10284.1464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -a26c9 - 21b?\nAnswer: -a2917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 130459 is divided by 2609?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.0972 + -0.0121. Round p to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1110 (base 3) to base 16\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 275\/268 - 52\/67. Put 742, -0.05, k in descending order.\nAnswer: 742, k, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*n - 5*u - 15 = -5*n, 4*u = -5*n - 12. Let f be -16*45\/(-36) - (n + 1). Suppose 11 = -v - 3*l - l, 0 = 2*v + 4*l + 6. Solve -1 = -v*g + f for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 83765, 82727, 80999, 78581?\n\"Answer: -345*u**2 - 3*u + 84113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -37 and 2.0693?\nAnswer: -76.5641","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*c**2 + 80*c**2 + 138*c**2 + 116*c**2 + 134*c**2.\nAnswer: 463*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*t**3 - 18381*t**2 - 36753*t - 18375.\nAnswer: -3*(t + 1)**2*(t + 6125)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1.9 - -0.9. Let d = u - -0.8. Let p be (-36)\/(-70) + 2\/7. What is the third biggest value in d, p, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -37903 at least -1554006\/41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 133 - (169 + 8 + -84)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 274217 is divided by 1010?\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/86?  (a) -14  (b) -2  (c) -5  (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.03?  (a) 50  (b) -0.12  (c) 0.16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express 578 + 487 - 1065 - 1799*b in the form s*b + n and give s.\nAnswer: -1799","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4670044?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.6 minus -158?\nAnswer: 162.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 3\/2*4\/6. Sort -4, z, 4 in descending order.\nAnswer: 4, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -19.58 and 7.31.\nAnswer: -143.1298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2478 is divided by 156?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 1 n when two letters picked without replacement from {c: 2, n: 7, q: 3, f: 6, h: 1}.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 343, 673, 1003, 1333, 1663?\n\"Answer: 330*j + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 16 and 6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b - 33 = -3. Let j(h) = -h**2 - 5*h - 1. What is j(b)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -b**5*x - 47463647*b**5 + 2*b**2*x + 6*b**2 + 3*b*x + 3*b - 138*x - 21 wrt b.\nAnswer: -60*b**2*x - 2847818820*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -154*i**2. Let y(b) = 331*b. Calculate n(y(s)).\nAnswer: -16872394*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -644*f**3*x + 124*f**3 - 8*f*x - f + 42 wrt x?\nAnswer: -644*f**3 - 8*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.08 and 39?\nAnswer: 3.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/(-12)*2*6\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -124 - 301?\nAnswer: -430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1246\/(-5696)*10\/(-7)?\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 217165 - 434340 + 217175 + 4*k.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or -1\/1200453?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -23 - -15. What are the prime factors of b\/(-20)*5 + 95 + 0?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s + 0*s = 0. Let l(w) = -6 + 0*w + 4*w - 5*w + 3. What is l(s)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -a - 19. Let r be t(-19). Is r <= -1\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 149522.\nAnswer: 2, 74761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -15*v + 90*v - 527*v**2 + 1054*v**2 + 56*v - 1 - 528*v**2 to f*v + a + p*v**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (4 - 1)*448\/24. Suppose 0*y + y = t. List the prime factors of y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -14 - -33. Suppose -u*f = -11*f - 2208000. Round f to the nearest 10000.\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 75.5377 - 66.53767. Let g = q - 9. What is g rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**14)**(2\/15)*(w*w**(-2\/13))\/w*w**(2\/5) assuming w is positive.\nAnswer: w**(412\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + 2*b + 92 = 5*h, -4*h + 2*b = -120. Differentiate -h - 35*y - 2 - 62*y - 4*y wrt y.\nAnswer: -101","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (133\/(-76) - 408\/(-160))\/((-3)\/165)\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.4, -1, 0, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i and 1 e when two letters picked without replacement from {i: 1, w: 3, n: 2, e: 1, c: 1, q: 3}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find y such that 3*y**3 - 261*y**2 + 900*y + 7968 = 0.\nAnswer: -4, 8, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in 2, 0.3, 22, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 - 2*m)*(-4*m**4 + 3*m**4 + 0*m**4) + 84*m - 84*m + 25*m**5.\nAnswer: 27*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 17743598 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.16 - 0.24. Let h = 199\/4 - 2595\/52. Sort -4, h, m, 4 in increasing order.\nAnswer: -4, m, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = c**2 - 17*c - 38. Let x(w) = -w**2 - 73*w - 259. Let r be x(-69). Determine f(r).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 854262 and 60?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 881 is divided by 176.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.03 * 65776.\nAnswer: -1973.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.0418, -2\/13, 32?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express (4 - 4 + d)*(0 - 4 + 1) - 4485 + 20*d + 4485 + (1 - 3*d - 1)*(1 + 0 + 1) as v*d + j and give v.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) be the third derivative of -139*a**4\/8 - 16*a**3\/3 + 28*a**2. Is b(-11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -69c4 - 290?\nAnswer: -6c54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -3*g**3 - 63*g**2 - 4*g - 33. Let z be q(-21). Suppose 44*i - 28 = z*i. What is the biggest value in i, -14, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 87*a + 2 - 85*a - 33*a**4 - 4 to h*a**2 + d*a**3 + u*a**4 + b*a + s and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n + 6 - 1 = y, 2*n = -4*y. Let i(v) = -148209*v**2 + 11*v - 2. Let g be i(y). What is g rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-12152)\/(-155))\/(-49)*5.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3157?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10694 is divided by 3223.\nAnswer: 1025","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -72*v - 1650. Calculate t(-23).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -520088, -1040177, -1560266, -2080355, -2600444, -3120533?\n\"Answer: -520089*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 180 + -367\/2. What is the closest to -1 in 5, -4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -265 + 2387\/9. Let k - 2\/9*h**2 + 0*h = 0. What is h?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 0*y - 3*p = -93, 3*y + 4*p - 142 = 0. Are 54 and y unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 29939?\nAnswer: 7, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 1072003 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 123*c**4 - c**5 + 407*c**4 + 625*c - 1611*c wrt c?\nAnswer: -20*c**3 + 6360*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -6.2923 - -3.2923. Which is the nearest to q?  (a) 1  (b) -2  (c) -14\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -54 + 108. Suppose -31 = -5*w + n. Let v = 23 + w. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -1211, -2431, -3651, -4871, -6091, -7311?\n\"Answer: -1220*z + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q + 4*q + 1 = 0, -2*y - 2*q + 6 = 0. Let p be 4\/(-10) - (-8 + (-215)\/(-25)). Let w = -3 + 3. Sort 4, y, w, p.\nAnswer: p, w, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -d**2 + 8*d + 13. Suppose -4*v + 20 = -t + 4*t, v - t - 12 = 0. Suppose 2*g = 10 + v. Calculate a(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 11 and 379?\nAnswer: 4169","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4546977214?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 3 - (3 + 4 + -7). Solve i*r = 6*r - 12 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9 - (23 - 19 - (-2 - (-8 + 3)))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.05 and 266.\nAnswer: -13.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-5)\/(-5))\/1*3 + 3. Let m(s) = -s**3 + 5*s**2 + 4*s + 7. Calculate m(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 48*i + 294 + 1236 - 138 for i.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -j**3 - 2*j**2 + 5*j - 3. Let a be w(-4). Suppose -3*k + a = 3*c, 0*k - c + 15 = -5*k. List the prime factors of (1 + 17)*k\/(-6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6371 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (7\/5)\/(4\/60). Is (o - 59)*(-46)\/4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -a**3 - a**2 - a + 1. Let v(k) = -k**3 - 2*k**2 - 2*k - 93. Calculate -2*i(y) + v(y).\nAnswer: y**3 - 95","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 46233255.\nAnswer: 3, 5, 101, 30517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 50*l**2 - 17*l + 138. Does 114 divide a(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 33.856337 rounded to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (115\/35 - -5) + 2\/(-7). Let f(n) = 7 + 3*n - 4*n - p. Give f(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.837 and -0.109010272.\nAnswer: 0.727989728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5 by -7731187.\nAnswer: -5\/7731187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (-684)\/(-3780)*21*-5?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 5551 to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 252 = 17*t - 479. What is the remainder when t is divided by 34?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 2*b = 7, -2*p - 2*b + 372 - 360 = 0. Solve p = -5*n - 19 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (127\/(-3175))\/((-10)\/(-50))*20?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1034 is divided by 595?\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*r - 66 = -3*r. Let h = r - -20. Let c(x) = -x**3 + 3*x**2 + 2*x - 1. Calculate c(h).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2305030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 2 n when three letters picked without replacement from {m: 1, f: 4, n: 3}?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put 81, -1, 3\/2, -916, -4 in increasing order.\nAnswer: -916, -4, -1, 3\/2, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 9*n + 536354*x - 536355*x - 34, 0 = 5*n + 5*x + 20 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) be the first derivative of 7\/15*h**5 + 3\/4*h**4 + 0*h + 2\/9*h**3 + 0*h**2 + 1. Factor q(i).\nAnswer: i**2*(i + 1)*(7*i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -205117 - -259442665.\nAnswer: 259237548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/p**(-14))**47*((p\/p**(-2\/47)*p)\/p)**49 assuming p is positive.\nAnswer: p**(35536\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1\/((6\/(-9))\/(-2)). Let r = 5 + x. What is the remainder when (-6)\/90*-5 - (-76)\/6 is divided by r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(500) + sqrt(500)*-4 + sqrt(5) + 5)*-2 + (2 + sqrt(125) + 0 - sqrt(125)) + -3 + 2 + sqrt(125))**2*3.\nAnswer: -3402*sqrt(5) + 59778","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 107120 or 107119?\nAnswer: 107119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -65, 8, 131, 304, 527, 800, 1123?\nAnswer: 1496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 18*(-1 - 6\/(-4)). Let t = 13 - k. Suppose a - 25 = -4*a. Solve j + t = 0, -a*l + 4*j + j + 35 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - 26 = -141*k + 140*k, 5*k - m = 106. Which is the nearest to 14?  (a) -0.3  (b) k  (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 544*-0.2.\nAnswer: -108.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 267221 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 102 minutes after 8:06 AM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -76 and -30257.3.\nAnswer: 2299554.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u and 1 j when two letters picked without replacement from jju.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -208*w + 134*w - 59220 = 584*w for w.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*g = -4*u + 13, 2*g = 4*u - 3 + 25 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -39762 + 439012\/11. Let q = -148 + o. Let x = -131 + 388\/3. Which is the closest to -1\/2?  (a) -2\/3  (b) x  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 26590 rounded to the nearest one thousand?\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -77735 * -3\nAnswer: 233205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*a + 5*a - 4*a + (0 - 2 + 4)*(a + 4 - 4))*(-52*a + a**4 + 42*a + 297*a).\nAnswer: a**5 + 287*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = x**3 + 3*x**2 + 12*x + 135. Let g be a(0). What is the highest common divisor of g and 783?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1153.\nAnswer: 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-342*s + 342*s + 122*s**2)*(s**3 - s**3 - 2*s**3) + s**5 + 0 + 0 + (-1 - 3 + 2)*(2*s**5 + s**5 - s**5) - 5*s + 2*s**5 + 5*s.\nAnswer: -245*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 0\/(4*(-3)\/4). Suppose 4*w - 435 + 147 = j. Is 6 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 60\/2*((-20)\/140)\/(4\/(-14))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find n, given that -n**5\/6 + 684*n**4 - 1439999*n**3\/2 + 112076891*n**2\/3 - 458211600*n - 1071630000 = 0.\nAnswer: -2, 28, 2025","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3615 - -39709\/11. Calculate the common denominator of u and -16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -a**3 - 31*a**2 - 8*a + 55. Calculate t(-30).\nAnswer: -605","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21*u - 336*u**3 - 21*u.\nAnswer: -336*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 6, j: 4, z: 3, i: 1}. Give prob of sequence zi.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t + 52308783 = 4*z, 6*t + 3*z = 3*t + 31385271. Suppose 47038245 = -5*g - t. Round g to the nearest one million.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from qqqqrqqrqqqrqqqqqq.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 635, 1292, 1963, 2654, 3371, 4120, 4907, 5738?\n\"Answer: r**3 + r**2 + 647*r - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.95 - 1. Let h = 3.95 - a. Is 0 greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 42 minutes before 12:06 AM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 2603.764 nanograms in kilograms?\nAnswer: 0.000000002603764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2.2357 + -2.2517. What is the third biggest value in 0.02, -1, i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*w**4\/5 - 34*w**3\/5 - 42*w**2 - 110*w - 100 = 0.\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -219037*o**2 + 657197*o**2 - 219136*o**2 - 219026*o**2.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 65 divide 780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*r - 14*r = x + 167, x = 3. Does 2 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 5\/(-1)*24\/(-20). Let l be y\/3 - (0 - 14). Let a = l - 8. Does 8 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 6\/(-2) + -12 + 96. Let q = -333 + g. Is -252 less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 79 is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 469360.379927 + -469360. Let n = -0.38 + g. Round n to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d = 4*d + 18. Let t = -5 - d. Which is smaller: t or 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -55 + 43. Is 9 a factor of c\/18*(-55 + -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t**2\/3 - 988*t = 0. What is t?\nAnswer: 0, 2964","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4 in 120, -1\/4, 5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-20)\/102)\/10)\/(12\/(-72)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -8*y**6 - y**4 + 99*y**3 - 7*y**2 + 108*y wrt y.\nAnswer: -960*y**3 - 24*y + 594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = g**2. Let p(a) = 29 - 42 - 223*a - 9 + 22. Determine n(p(k)).\nAnswer: 49729*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -67*s**2 - 2693*s - 39. What is the smallest common multiple of n(-40) and 3552?\nAnswer: 46176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 less than 0.45645165628?\nAnswer: -0.54354834372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 172 minutes before 10:44 AM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:15 PM and 3:27 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -a**3 - 2*a**2 + 3*a + 402. Determine i(0).\nAnswer: 402","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2\/1761 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 5762 - 5777. What is the second biggest value in 4\/7, t, -1\/4, 4?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -3, 88086101, 1 in descending order.\nAnswer: 88086101, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 23267316?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 4440002 (base 5) in base 7?\nAnswer: 441645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/(-1))\/((-38)\/(-19)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of a**3*f**2*t*z + 255*a**3*f**2 - 8*a**2*f*t*z + a**2*z - a*f**2*t*z - 4*f**2*t*z wrt a?\nAnswer: 6*f**2*t*z + 1530*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is -6\/6275915 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 94322849 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l, 1 t, and 1 a when three letters picked without replacement from liitaayl.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -4537\/16 - -565\/2. Calculate the common denominator of -59\/44 and d.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -500.926241 + 479.9262391. Let p = 5.4 + -26.4. Let o = p - u. Round o to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 12 - 9. Suppose 4*t - 18 = i*t. 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: Let s = 22 + -16. Let d be (-4 + 2)*s\/(-8). Let v = 314 + -944\/3. Sort -4, d, v in descending order.\nAnswer: d, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -23*c**4 - 3*c**2 + 3 - 81*c - 77*c**4 + 101*c**4 in the form x*c + h + s*c**2 + l*c**4 + u*c**3 and give x.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 158433563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -15.05 - -1.1?\nAnswer: -13.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 115.508 - 82.78. Let o = g + -33. Let h = o - -53.972. What is h rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 382952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from {s: 2, w: 3, r: 3, c: 1, k: 3, u: 3}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = q + 2. Suppose -q*t + 26 = -2. Solve 3*b = t*b - 4*i - 28, -3*b - 3*i - 9 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1005 - 1005 - 5*c.\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.23992 + -0.1982. Round q to three dps.\nAnswer: 0.042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.281 + -1.511. Let m = z - 12.37. Let i = m - -13.6285. Round i to 3 dps.\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find q such that -2*q**2\/5 + 99*q\/5 - 97\/5 = 0.\nAnswer: 1, 97\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -1131, -2565, -4303, -6339, -8667, -11281?\n\"Answer: x**3 - 158*x**2 - 967*x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q and 2 z when three letters picked without replacement from qgzqqiissstzgstiss.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -41*b**3 - 3*b**2 - 9*b - 7. Suppose 4*j - 13 = -4*x - 25, -4*x + 4*j + 4 = 0. Is 4 a factor of v(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4308*a**2 - 24*a + 4307*a**2 + 24*a.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 101101100000 (base 2) to base 3\nAnswer: 10222212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 108 and 4?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 61\/6454 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1796046070?\nAnswer: 2, 5, 7, 13, 31, 63667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 953431301 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -368279 + 368279 - 150207*h.\nAnswer: -150207*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 37077, 73951, 110825?\nAnswer: 147699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 401 = -10*a + 361 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 + (-32)\/5 - (-12)\/(1440\/10968)?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 5*-355\nAnswer: -1775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 25629 divided by 8543.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -21037718 divided by 4.\nAnswer: -10518859\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -4*b**3 - 4*b**2 + 30*b + 6. Let w(x) = 6*x**3 + 6*x**2 - 64*x - 11. Calculate 5*v(f) + 3*w(f).\nAnswer: -2*f**3 - 2*f**2 - 42*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -2*w**3 + 25*w**2 - 10*w - 18. Let p be c(12). Let o(z) = 8*z**2 + 17*z - 25. Is o(p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1372569, 1372673, 1372843, 1373079, 1373381, 1373749?\nAnswer: 1374183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 8*g**3 - 5*g**2 - 52?\nAnswer: 24*g**2 - 10*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.32, 4, 1094, 10, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -25, -63, -117, -187, -273, -375, -493?\nAnswer: -627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -5 - -2. Let l = -7.64 - -7.44. Which is the closest to -1?  (a) -6  (b) g  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -128 + (22\/55)\/((-2)\/10). Let b be 20\/i + (-648)\/13. Let j = 62 + b. Solve -2*u + j = -5*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5.04+-0.231\nAnswer: 4.809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 6 - 0. Let g(j) be the second derivative of 0 - 1\/6*j**3 + 26*j + 3\/2*j**2. What is g(s)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = 51*i + 51. Determine c(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j = 2, 2*j = -4*t + 10 + 14. Solve t*x + 26 - 6 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -6  (b) -9  (c) 18\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1006105 (base 7) in base 12?\nAnswer: 59381","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2110001 (base 3) to base 12.\nAnswer: -1047","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) be the second derivative of 27*g**5\/4 - 51*g**2 - 97*g - 1. Differentiate a(t) wrt t.\nAnswer: 405*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 1 d when two letters picked without replacement from {d: 2, h: 1, l: 5, c: 2, e: 1, f: 2}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 2\/11, -0.04, 5, -7, 4.1, -1 in descending order.\nAnswer: 5, 4.1, 2\/11, 0, -0.04, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -108*l**2 + 65*l**2 + 132*l**2 + 93*l**2 + 124*l**2 to q*l + t*l**2 + k and give t.\nAnswer: 306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find h such that 30*h**4 + 9215*h**3 + 859385*h**2 + 21900445*h + 3626245 = 0.\nAnswer: -133, -41, -1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lrflrrfrrru. What is prob of sequence lu?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 121 - 120. Let n = 10.26 - 10.3. Which is the third biggest value?  (a) -2  (b) n  (c) k  (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -8 + 7 + 4 - 10 + 6*y. Let k be 7\/3 + (-2)\/6. Let q be j(k). Solve 0 = 5*o + 4*s + q, -s + 3*s = 4*o + 30 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 0 - -6*4\/8. Suppose -6*o - 20 = -11*o. Put 7, r, o in decreasing order.\nAnswer: 7, o, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -b**3 + 6*b**2 + 2*b + 5. Let z be i(5). Let h be ((-84)\/z - 6\/15)*2. Put 0, h, 4 in increasing order.\nAnswer: h, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*((sqrt(104) - (sqrt(104) - (sqrt(104) + sqrt(104)*2)))\/sqrt(8))**2 + -5.\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2770807811 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 2, k: 4, l: 3}. Give prob of picking 4 k.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + 1.357.\nAnswer: -0.643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = 90*m**2. Let o(n) be the third derivative of 0*n + 0*n**4 + 0 - 210*n**2 + 0*n**3 - 1\/60*n**5. Give i(o(d)).\nAnswer: 90*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2359525?\nAnswer: 5, 7, 97, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 79 a factor of 117868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -309 > -7099\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) be the second derivative of l**3\/6 - l**2 - 13*l. Let s be g(6). Is (s - 3*18)*-1 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 874\/(-285) + 3\/(-4)*-4\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 304385 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 15.89533mg in nanograms?\nAnswer: 15895330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j = -0*j - 3*o - 14, -2*j = 5*o + 18. Calculate the remainder when -2 - (-2 - (-12)\/7 - 1066\/287) is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -196 - 83 = -2*r + m, -3*r - 3*m = -405. Let w = 2 + r. Let k = 17 - -3. Calculate the greatest common factor of k and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 9\/4  (b) 2  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -d**3 + 9*d**2 + 2*d + 59. Let m be w(10). Let r = 2347 + -1325. What are the prime factors of (-1)\/(-3) - r\/m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3427001 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4704 and 16674?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 (base 14) in base 12?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 303*n - 65 = -3*m + 302*n, 3*n = -12. Calculate the highest common divisor of m and 16514.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) be the third derivative of w**5\/30 + w**2 - 227*w. Let f(c) = -1. Let x(i) = -44*i**2 - 88. Let o(h) = 88*f(h) - x(h). Give l(o(a)).\nAnswer: 3872*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-8)\/(((-14)\/(-8))\/(-7)). Let w be (-1 - -79)\/((-12)\/n). What is the units digit of 1\/5 + w\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = n**3 - 3*n**2 + 4*n - 4. Let y(t) be the third derivative of -t**4\/24 - t**3\/6 - 2*t**2. Let a = -26 + 22. Let g be y(a). What is w(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 198656 = 198653?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 34898 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 145 + -140. Suppose 21 = x*s - 4*h, h + 9 - 5 = 0. What is the greatest common factor of s and 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) be the third derivative of f**8\/840 + f**7\/210 - f**6\/180 - f**5\/30 - f**3\/3 + 4*f**2. Let g(b) be the first derivative of k(b). Factor g(v).\nAnswer: 2*v*(v - 1)*(v + 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 24716 and 148.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 731 a factor of 525613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n**4 - 130185*n**3 - 1130395875*n**2 - 3277758746875*n - 39170552812500 = 0. Calculate n.\nAnswer: -8675, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 583 - 981. Let u = 412 + d. Solve -2*o + 9*o - u = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -4012, -6442, -8940, -11506, -14140, -16842?\n\"Answer: -34*w**2 - 2328*w - 1650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*w**2 + 10*w**3 - 4*w**2 - 1 - w - 2*w**4 + 6*w**2 - 12*w**3 as o*w**2 + b*w + l*w**3 + u + m*w**4 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - 1740 = -14*x. Suppose 151 = s + 5*j + 9, -s - 4*j + x = 0. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 8*d**4 - 2*d**4 + 0*d**4 + (-1 - 1 + 0)*(d**2 - d**2 - 3*d**4) + d**4 + 2*d**4 - d**4 + d**4 - 1 + 1 + 141*d**2 - 141*d**2 - 4*d**4.\nAnswer: 11*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -3336 - -13652. Suppose -b = 29*n - 33*n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 381, 775, 1205, 1689, 2245, 2891, 3645, 4525?\nAnswer: 5549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) be the second derivative of j**3\/6 + 3*j**2\/2 - 7*j. What is f(-8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:18 PM and 5:45 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -13.734 - -0.134. Let x = -14 - i. Which is the second smallest value?  (a) -1  (b) -3  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -h**3 - 7*h**2 - 10*h - 7. Let d(v) be the first derivative of v**3\/3 + 7*v**2 - 21*v + 7. Let g be d(-15). Calculate k(g).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 51, -1, 1408, 1, -3 in increasing order.\nAnswer: -3, -1, 1, 51, 1408","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 352 is divided by 60.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 34 and 1853?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 5.92 - -0.08. Put 0.4, -0.1, f in increasing order.\nAnswer: -0.1, 0.4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) be the first derivative of -18*w**2 + 1618. Let p(r) = -4*r**2. What is p(h(o))?\nAnswer: -5184*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1588 by 235566.\nAnswer: -794\/117783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -j**3 + 7*j**2 + 3*j - 5. Give s(6).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.183 and 0.08.\nAnswer: 0.263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/102)\/((-13)\/(-6)*388\/1261)*-5\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -0.7  (b) -3  (c) 0.4  (d) -5905  (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 38\/95 - ((-148)\/(-110))\/2. What is the biggest value in f, 1, 0.3, -4\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 336, 476, 866, 1632, 2900?\nAnswer: 4796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/3 in -3, -686, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1115 is divided by 284?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -3144237 divided by -4\nAnswer: 3144237\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-8 - -7)\/(7 - (0 + 1)). Let f = -149 - -148.33. Let s = 1.07 + f. What is the closest to 0 in s, n, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -4\/7, -2\/7, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 8\/25 of a millimeter?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 166 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express (4 - 3 - 3)*(3*b + 2*b**2 - 3*b) - 1 + 2*b**2 + 1 + 3*b + b**2 - 3*b - 119 - b - 101 - 91*b**2 + 219 as i*b + p*b**2 + k and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 4246815213?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -206 divided by 1?\nAnswer: -206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1399605, 2799202, 4198799, 5598396, 6997993?\nAnswer: 8397590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -r**2 + 19*r - 40. Let p be h(16). Suppose p*t + 64 = 12*t. What is the highest common divisor of 112 and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) be the second derivative of 1\/2*j**4 - 2*j**3 - 5*j**2 + 2\/5*j**5 + 25*j + 0. Factor y(h).\nAnswer: 2*(h + 1)**2*(4*h - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - 4 = 0, -42*i = 2*w - 47*i - 80. Let c = -14 - -34. What is the greatest common factor of w and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3.8 + -0.28989548.\nAnswer: -4.08989548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b = 8, 2*n + 8 = -2*n - 4*b. Suppose 14 = 4*k + k + 2*i, 2*i + 14 = n*k. Suppose 5 = -k*f + 45. What is the smallest common multiple of 12 and f?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -61 * 0.4354.\nAnswer: -26.5594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ssisisststii. Give prob of picking 1 t and 1 s.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1 - 0) + (-2 - -18). Let u = p - 8. What are the prime factors of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -250*n = -255*n - c + 17, 5*n + 4*c - 23 = 0. Factor 1\/2*k**2 + n*k + 9\/2.\nAnswer: (k + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 1\/261?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2898\/24 + (12\/(-16) - 0) and 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.199 - 0.433. Round q to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5.5*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(1920)*1 + sqrt(1920)))\/(sqrt(120)\/(sqrt(60)\/sqrt(5)*2)).\nAnswer: 128*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = 25*p + 3. Let l(a) = -24*a - 2. Let h(b) = 4*l(b) + 3*u(b). Let g be h(-2). Suppose -2*x = 10, v = 4*v + x - g. Is v a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -3935438, -3935318, -3935126, -3934868, -3934550, -3934178?\n\"Answer: -p**3 + 42*p**2 + p - 3935480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -w + 15. Let s(v) = 4 - 1 + 4. Let p(d) = 5*s(d) - 2*y(d). Let t be (-32)\/(-2)*40\/(-80) + 4. What is p(t)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + 3 - 19 = 0. Let g = i + 7. Solve 4*v + 19 = -a + 2, g*v + 7 = 5*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine n, given that -5*n**3 - 1240*n**2 - 76880*n = 0.\nAnswer: -124, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -5  (b) -3  (c) -2\/13  (d) 361\/5  (e) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 6\/14 - (77832\/42)\/12. Calculate the remainder when ((i\/4)\/(-7))\/(1\/22) is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.5 and -49.\nAnswer: -24.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor -d**4\/3 + 25*d**3 - 456*d**2 - 1444*d\/3.\nAnswer: -d*(d - 38)**2*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -14 in 3, -14\/53, 5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/7?  (a) -5  (b) 4  (c) 2  (d) -4\/65  (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -29 times 0.59\nAnswer: -17.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = 647 - 326 - 314 - s**2 - 8*s. What is q(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = k**3 + 32*k**2 - 2*k - 62. Let r be z(-32). Suppose 8*j + 2*a + 1064 = 12*j, 5*j = r*a + 1330. Is j a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -16*a - 6. List the prime factors of o(-4).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -2*u - 212. Let d(v) be the second derivative of -5*v**4\/12 - 2931*v. Calculate d(b(m)).\nAnswer: -20*m**2 - 4240*m - 224720","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 66650 and 599850.\nAnswer: 599850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1 + -11132221130?\nAnswer: -11132221123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (2 + 1)\/((-96900)\/8076 - -12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*a**5 - 581*a**4 - 8349*a**3 + 11873*a**2 + 16024*a - 3612 = 0. What is a?\nAnswer: -14, -1, 1\/5, 2, 129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-354)\/1947 - 2763\/(-11). Sort 0, 1, 3, -2, l.\nAnswer: -2, 0, 1, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -660 less than or equal to -659?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 85321330?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand w - 3*w + 5*w + (-8 - 116 + 11)*(0*w - 2*w + w).\nAnswer: 116*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ugnczununsnc. What is prob of picking 1 c and 1 n?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2899 + -2724. Calculate the remainder when i is divided by 31.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*-2*((sqrt(2057) - (-1 + sqrt(2057))) + 2 + 1))**2.\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-40)\/(-24))\/((-3)\/18))\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -75, -2075, 173 in ascending order.\nAnswer: -2075, -75, 173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -154\/37?  (a) -1\/3  (b) -1\/5  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) be the second derivative of f**4\/12 + 5*f**3\/6 + f**2 - 35*f. Suppose -12*h = -8*h + 16. Calculate v(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d = 10*w - 6*w - 527, -2*w = 3*d - 291. Let i = w - 132. Solve 9 - i = p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 17, 5, -21, -67, -139, -243, -385?\n\"Answer: -j**3 - j**2 - 2*j + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 698 + -693. What is the third derivative of -c*n**3 - 42*n**3 - 348*n**2 + 104*n**3 + 359*n**2 + 73*n**3 wrt n?\nAnswer: 780","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -1\/15, -3, 3?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*z + 3*u = 18*z + 9094, -4*u = -z + 1851. Put z, -1, 1\/6, 3 in ascending order.\nAnswer: -1, 1\/6, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 52*w = 41*w - 44 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -4  (b) 1\/2  (c) 31  (d) 13  (e) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 3843 to the power of 1\/2, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 338\/7  (b) 0.3  (c) 0  (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0 * 10422.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 68988514?\nAnswer: 2, 7, 4927751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 21100215811 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*r**3\/3 + 569650*r**2 + 1139302*r + 1708954\/3.\nAnswer: -2*(r - 854477)*(r + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*t = q + 46, -937*t + 939*t + 32 = 4*q for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1614223 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Do -1 and -197\/1220506 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3870 - -4224. What is the remainder when m is divided by 89?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) be the first derivative of 5103*u**5\/5 + 486*u**4 - 72*u**3 - 80*u**2 - 16*u - 16. Let k(x) = 0. What is x?\nAnswer: -2\/9, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(3) - (-4*1*sqrt(3))**2) + 4.\nAnswer: -44 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Determine q, given that 2*q**3 - 629010*q**2 - 1258026*q - 629014 = 0.\nAnswer: -1, 314507","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4 + 5 - 2)*(0 + 1 - 3*f + 0*f)*(1 - 4*f - 1)*(3 - 5 + 5) to the form c*f + a + o*f**2 and give c.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 14.3 - 14. Let l = -0.3386 - -0.5386. Which is the second smallest value?  (a) g  (b) 0  (c) -0.1  (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 181 - 180.6. Let z = -0.4 - 4.6. Sort s, z, -3\/4 in ascending order.\nAnswer: z, -3\/4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2854?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = -3*h - 7. Suppose 4*a + 378 = 18*a. Suppose 14*p + a = 13. Let y(m) = -m - 1. Let v(z) = -2*z**2 + 7*z + 7. Calculate h*y(n) + p*v(n).\nAnswer: 2*n**2 - n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 42, 72, 90, 90, 66, 12, -78, -210?\nAnswer: -390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2)\/11 + 1 + (-26)\/(-22). Let v = -954 - -957. Solve -7 = -h*f - v for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 31650075 a multiple of 225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -11*l - 77. Let m(c) = -4*c - 26. Let b(v) = 8*m(v) - 3*w(v). Let i be b(-19). Solve -8 = 2*y + x - 3, -2*y + i*x = 30 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-nine fifths of a decade in years?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2381, 1, -0.3 in descending order.\nAnswer: 1, -0.3, -2381","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Are -3808 and -41896\/11 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 4703606 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {f: 2, j: 6, n: 5}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 468 and 5287752.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c = -3*i - 7*c - 7, 5*i - 2*c + 3 = 0. Is ((-2056)\/(-20))\/(i\/(-5)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 893?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 4 + -3 + 1*10\/(-8). Which is the second biggest value?  (a) -5\/3  (b) -1  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(sqrt(588) + 1 - sqrt(588)))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 419?  (a) -5  (b) 0.5  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*u - 22*u + 18 = 4*w, u + 1 = w. What is the closest to -7 in -1\/4, -5, w?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 418551178 and 0.6.\nAnswer: 251130706.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 169315 or 169319?\nAnswer: 169319","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -12739, -13338, -14359, -15802?\nAnswer: -17667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + 5*q - 9 = -6, -4*i + 3*q + 7 = 0. Let t(a) = -a**2 - 6*a - 4. Let w be t(-3). Suppose 0 = 2*z - w*c - 60, 2*z + i*c - 100 = -c. Does 10 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) be the first derivative of -1\/8*b**4 - 1\/3*b**3 - 1\/60*b**5 + 0*b + 6 + 1\/2*b**2. Let k(f) be the second derivative of j(f). Calculate k(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 302596?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 2  (b) -0.44  (c) -0.2  (d) -1284  (e) -5  (f) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-40 - 14) + -21 + 83 + -1 + -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14236 - 14282 = -21*w. What is the thousands digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) be the second derivative of -b**3\/6 - 17*b**2 - 2*b - 262. Let t(y) be the third derivative of y**4\/24 + 2*y**2. What is m(t(s))?\nAnswer: -s - 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 6\/9*2\/(-4). Let w = 2404 - 2372. Is a less than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (2*2\/(-4))\/(9\/(-1962)). Let o = 221 - 369. Let s = n + o. Round s to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 227 - -182. Let v = 710 - f. Suppose 6*y = -y + v. List the prime factors of y.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -53\/6 and 31\/1889.\nAnswer: 11334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = u**2 - 20*u + 39. Let o be y(27). Let r = o + -203. What is the smallest common multiple of r and 35?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) be the first derivative of v**2 - 3. Let m(w) = 6*w**2. Give m(h(r)).\nAnswer: 24*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i - 30*a = -31*a - 687, -4*a - 696 = -3*i. What is the highest common factor of i and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + 0 + (-28 + 23 - 17).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = 2*n**3 - 3*n**2 - 2*n - 5. Let v(i) = -i - 2*i - 8*i**2 - i**3 + 6 - 6*i. Calculate the least common multiple of o(3) and v(-7).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:43 AM and 11:13 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -36 - -39. Let b(l) = l**2 - 3*l + 6. Let s be b(z). Solve -10 = -5*i, -5*n = -6*n + 5*i - s for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000197213379 to 6 decimal places.\nAnswer: 0.000197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 3120823 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -1\/371 and -99\/4?\nAnswer: 1484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-30)*o)\/o*o**(-11\/3)*((o*o*o\/(o**(-1\/4)\/o))\/o)**37 assuming o is positive.\nAnswer: o**(1039\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = 5*x**3 - x**2 - 10*x + 6. Let f be k(-4). Let o = 490 + f. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -62783.993 and -6554.\nAnswer: -69337.993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + 5 + ((sqrt(162) - (sqrt(162) + (sqrt(162)*-2 - sqrt(162))))\/sqrt(9))\/(-2*sqrt(81)).\nAnswer: -sqrt(2)\/2 + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -29*x**2 - 6*x - 15*x**2 - 3*x - 2*x**2 + 6*x.\nAnswer: -46*x**2 - 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide 21219860 by 1.\nAnswer: 21219860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2520342479 to the nearest integer?\nAnswer: 1361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -420, -15 in ascending order.\nAnswer: -420, -15, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide (42\/35)\/(4\/30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 + -16 + (-1 - -3) + (162 - 51) + -105\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 52081867 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from zqbboqy?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand -135*k**5 - 10*k + 136*k**5 - 21*k + 0*k**5 + 4*k**5 - k**5 + 2*k**5 + 3*k**5 - k**5 + (0*k**2 - 2*k**2 + 0*k**2)*(-3 + 3 - k**3).\nAnswer: 10*k**5 - 31*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 13225520 to the nearest integer?\nAnswer: 3637","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (2\/(-6))\/(1\/(-3)). Let t = 336 + -333. What is the smallest value in t, x, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = d**3 + 12*d**2 - 3*d - 26. Let a = 997 + -1009. Give m(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -32 - -70. Let u = 42 + -68. Let l = k + u. Which is smaller: 4 or l?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 2353, 2338, 2323?\n\"Answer: -15*i + 2368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*h**4\/13 + 14212*h**3\/13 - 25261826*h**2\/13 + 50481024*h\/13 - 25233408\/13.\nAnswer: -2*(h - 3552)**2*(h - 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 2*x + 2*n = 0, -2*n = -5*x. Suppose -4*v + 9 - 1 = x. List the prime factors of (-672)\/(-49) + v\/7.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 59730 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 121590*m**3 + 3667*m**2 - 3667*m + 7334. Let f(s) = 199*s**3 + 6*s**2 - 6*s + 12. Give -3667*f(n) + 6*t(n).\nAnswer: -193*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1106777?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = 372258*u**2. Let n(j) = 36*j**2. Determine s(n(d)).\nAnswer: 482446368*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21 - 4 = 2*j + 9 + 14, -3*t - 4*j = 60 for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -0.5*83\nAnswer: -41.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.36384295 rounded to 2 decimal places?\nAnswer: 0.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/(((-2)\/7*1)\/((-2520)\/(-882)))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 550813217 to the power of 1\/2, to the nearest integer?\nAnswer: 23469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-7 - 0) + (-12 - 165). Let y = 199 + w. Solve y*f = 10*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + -7 + 3 + 7 + -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 805555415 to the power of 1\/2, to the nearest integer?\nAnswer: 28382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) be the third derivative of 1\/270*j**5 - 1\/54*j**3 + 0 - 5*j**2 + 0*j**6 - 1\/1890*j**7 + 0*j**4 + 0*j. Factor s(y).\nAnswer: -(y - 1)**2*(y + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -153 - 151 - 3*k**2 + 304.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -d**3 + d**2 - 7*d - 5. Let h be s(-5). Suppose -13*v = -10*v - h. Calculate the greatest common divisor of 40 and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 90530?\nAnswer: 2, 5, 11, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f and 1 l when two letters picked without replacement from yfyylfcry?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 176147657 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 3247 and 0.05?\nAnswer: 162.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 44, -5, 2.\nAnswer: -5, 2, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.33972941 to three decimal places.\nAnswer: -0.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -229774 less than -229761?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2444, 2\/5, -14 in ascending order.\nAnswer: -2444, -14, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.018 + -31.982. Let n = z + 46. Which is the smallest value?  (a) -4  (b) 0.4  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 38 + (8 - 0) + -72.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*a**4 + 2*a**3 - 2*a**3 - 2*a**4 + 5*a**4 - 2*a**4 + (4 - a**3 - 4)*(0*a - a + 3*a) as m*a**4 + g*a + h*a**3 + s*a**2 + b and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.9 - -1. Let p = 0 - z. Let b = -0.5 - -1. What is the smallest value in p, -5\/2, b?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -6*s. Let x(u) = 2*u**2 + u + 1. Let l be x(-1). Let n(m) = 12*m. Determine l*n(j) + 5*k(j).\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 654454164 and 156.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*r**4 + 2*r**4 + 4*r**4)*(-39 - 48 - 67)*(-1 + 1 + 1).\nAnswer: -308*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 12 + 27a3a?\nAnswer: 27a51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-25 - -22)*(8 + -13 + 2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -9*q. Let l(a) = 5*a - 8. Let o(y) = -9*y + 14. Let c(z) = 7*l(z) + 4*o(z). What is -24*c(h) + 3*t(h)?\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(sqrt(98)*1 + sqrt(98)))**2 + 4*(sqrt(6)\/sqrt(3) + 3).\nAnswer: 4*sqrt(2) + 1580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -11401145352 - 0?\nAnswer: -11401145352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4*q**4 - 8*q**2 - q**4 + q**2 wrt q?\nAnswer: -120*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 43 a factor of 3812?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (-18)\/(-135) + (-1)\/((-30)\/(-124))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -78\/67 + 2600\/737. What is the common denominator of -43\/34 and d?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 1 i when two letters picked without replacement from bbybbiiy.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b = -5, f + b = 3*f - 145. Let l be (141\/21 - 7) + (-582)\/f. Is -8 less than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 766*s = 761*s - 20 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of ((-14988)\/(-20))\/3 - 3\/(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -3775 + 124*i**3 + i**4 + 32*i**3 - 2238 + 3*i - 2753 - 26*i**3 wrt i.\nAnswer: 4*i**3 + 390*i**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 2*i**3 - 5*i**2 + 10*i + 5. Let t be k(4). What is the derivative of 7*p**2 + 357*p - 357*p + t - p**2 wrt p?\nAnswer: 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-136)\/510)\/((-12)\/9)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3588832*p**4 - 3269634 with respect to p.\nAnswer: 14355328*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1745, -14014, -47311, -112148, -219037, -378490, -601019?\nAnswer: -897136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2\/11, -1\/2, -3\/14, -3, -1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 13 times -7.39\nAnswer: -96.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -15  (b) 0  (c) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 194?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -h**3 + 43*h**2 + 11*h - 18. What is y(43)?\nAnswer: 455","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) be the second derivative of 1\/6*r**3 + 0 - 2*r - 11\/2*r**2. What is the derivative of n(u) wrt u?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 + 4 + 21)*(-34*u + 0*u - 38*u) in the form z + x*u and give x.\nAnswer: -2016","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -4*p*t**3 - 16*p*t**2 - 33*p*t + 227*t**2 + 899*t wrt t.\nAnswer: -24*p*t - 32*p + 454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1156561 + -62?\nAnswer: 1156466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.3, 179, 42, 0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-20 - (-615)\/30)\/((-1)\/(-34)). Solve n*d = 12*d - 30 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 58694095 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1068)\/80 + 9 - (-15)\/(-80)*-4?\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 120291736 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = 4*p**3 - 5*p**2 - 10*p + 14. Give u(-2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + 0 + 6 + -2 + -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 915 + -835. Is 80 greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-4145)\/(-25) - -2*(-3)\/(-30). Suppose -330 = -p - p. Does a = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 6 and 7274337?\nAnswer: 14548674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(-1*sqrt(13) + -3) + (sqrt(156)\/(sqrt(12)*-2) - (sqrt(1053)*-1 - sqrt(1053))))**2.\nAnswer: 111*sqrt(13) + 17833\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 = -2*g - 1. Let v(z) = -2*z**3 - z**2 + 1. Suppose -5*a + 11 + 9 = 0, -y - 2*a = -7. Let q be v(y). Solve -4*t - 3*f = -3, q*f = 3*t - g - 7 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 48 = -2*o, 230 = 3*x + 3*o + 50. Suppose x = 8*p - 4*p. What are the prime factors of p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mmmcmmmmcmmiccdc. Give prob of picking 1 i and 2 c.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -13693.6127 and 2.\nAnswer: -27387.2254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) be the third derivative of 5*i**4\/12 - 9*i**3\/2 - 6*i**2 - 3*i. Let h be l(4). Solve h = 2*d + 3 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) be the second derivative of 2*t**4\/3 - 14*t**3\/3 + 2*t**2 - t - 1739. Give w(4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -124 divided by 2963.\nAnswer: -124\/2963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -8 + 8. Sort 64, n, 5, -4 in increasing order.\nAnswer: -4, n, 5, 64","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 3121, 220, 47?\nAnswer: 3121","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 981 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 18119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 2*z - 9. Let v be s(9). What is the units digit of 18\/(v\/3)*1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(91)\/((sqrt(231)\/sqrt(11))\/sqrt(3)).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -h**2 + 10*h - 5. Let o be x(7). Suppose 2*g - 3 - 1 = 0. Solve g*q + 2*q = o for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -182, -1210, -3780, -8594, -16354, -27762, -43520, -64330?\nAnswer: -90894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -16, 0.07, 2\/3.\nAnswer: -16, 0.07, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 1317 + 3?\nAnswer: 131a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -h + 2*h + 2*h. Let k be 30\/(-2)*4\/(-10). Let j(v) = -11*v. Let a(l) = 4*l. Let w(y) = k*j(y) + 17*a(y). Give g(w(m)).\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h = -4*h + 25. Suppose w = 19 - 1. Let p be 10*(-42)\/4*(-6)\/w. Calculate the greatest common factor of p and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 28382 and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 30271?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 10602115 a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = 447*k**2 - 4*k + 1. Let m = -306 + 307. What is the hundreds digit of b(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*a - 9, -3*c + 6*c = -5*a - 30 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 + (0 + 12 - 14 - (-2 + 1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*o + 7*o + 32*o.\nAnswer: 53*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -3, -1, 10\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -224, -5, -3, 4, 5 in decreasing order.\nAnswer: 5, 4, -3, -5, -224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = 3*z - 5*z - 4*z + z - 4. Determine v(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 43255?\nAnswer: 5, 41, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Are -1 and 5\/59 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:06 AM and 11:30 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 2021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 814846*f**3 - 162*f**2 - 51*f + 65522?\nAnswer: 4889076*f - 324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -673 - -690. Suppose -l = -18 - b. Calculate the smallest common multiple of 35 and l.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*j - 5*z, 4*j - z = -2 - 8 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 25962.\nAnswer: 2, 3, 4327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4782, 4772, 4758, 4740, 4718?\nAnswer: 4692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -2 + 1254406?\nAnswer: 1254404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -o**3 + 2*o**2 + 5*o - 2. Let i be j(3). Let d = i + -2. Suppose 2 = d*w - 2. Solve 0 = 3*f + 3, -w = -3*v - 2*f + 4*f for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/(-4))\/(3\/(-15))*(-69)\/2070?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2 - -11aa?\nAnswer: 1201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 6 + -5. Let k = -554 - -5557\/10. Find the common denominator of x and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*g = -j - 5*g + 2742, 4*j - 11012 = g. Suppose 6*o = 5*o + j. What is the tens digit of (-4)\/(-6)*o\/36?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1)\/4 + 2\/(-8). Let y be (-2 + -1)*-1 - (0 - 144\/(-45)). Which is smaller: y or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -100110 (base 2) to base 5.\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3 - (-5 + 1) - -29) + -10?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 56 + (8 - 56) + (-48 - (1 - 4)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -4a72 - a?\nAnswer: -4a7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -8 + -16 + 4 - -7\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = b**2 - 13*b - 16. Let x be m(14). What is the units digit of 3 + (5 + x - 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -7*m**3 - 5*m**2 - 10*m - 45854 wrt m?\nAnswer: -21*m**2 - 10*m - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Total of 28.252113 and -13901.\nAnswer: -13872.747887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -267857 divided by 659\nAnswer: -267857\/659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = 23*q**2 - 3*q - 46*q**2 + 22*q**2. What is k(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2\/2*2845 + (-160 - -154)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -7c18 (base 13) to base 3.\nAnswer: -212220111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (1*sqrt(384))\/(sqrt(648)*2).\nAnswer: 2*sqrt(3)\/9 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 6\/(-9)*(-6)\/20. Suppose 0*g = 3*g + 6. Which is the closest to g?  (a) l  (b) -0.5  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -43\/2 - -139\/6. Let f = 5258 + -15776\/3. Let w = -4 - -6. What is the third biggest value in w, f, p?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = 6*k + 3. Let t(s) = s + 1. Let m(y) = -y - 2. Let a(b) = m(b) + 2*t(b). Let x(w) = -5*a(w) + q(w). What is the units digit of x(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22\/2752471 < 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -59*i + 62*i - 12 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 7  (b) 4  (c) 3  (d) 71  (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3013 - -5453. List the prime factors of t.\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 66 and 528?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 0.08582013+24\nAnswer: 24.08582013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 121431705 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -y**2 - 161*y + 1186. Let p be h(7). Let n(k) = -k**2 + 13*k - 25. Give n(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*861.53056.\nAnswer: -1723.06112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 6 (base 16) to base 8\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 143322313 (base 5) to base 14.\nAnswer: 15b462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3 - 35. Let h = r - -80. Does 24 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*z + 4*b - 889, -250 = z + b + 37. What is the hundreds digit of 84\/(-63)*z\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 59893.\nAnswer: 101, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -118 + 303 = -100*l - 115 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(-2\/51)*q)\/q)\/q*q**(-16\/3)*((q*q\/q**(-12\/7))\/q)**(-2\/85) assuming q is positive.\nAnswer: q**(-11489\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -3*g**2. Let s be 1\/(-3) - 14\/(-6). Let d(b) = -2*b + s*b - b - b. What is x(d(h))?\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = o - 4. Let q be d(4). Suppose q = 6*z - 2*z - 48. Suppose 3*g = -6, -5 = -5*y - 5*g + 5. What is the remainder when z is divided by y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 39\/95501 and 3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-2)\/(-15)*3*5. Suppose -w*p - 15 = -5*p. Calculate the remainder when 17 is divided by p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:16 PM and 1:16 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:21 PM and 3:30 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 30777 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*d - 3*s + 12, 20 = -0*d - 5*d + 5*s. Let b(z) = -4*z - 13. Let q(t) = -5*t - 12. Let l(w) = -4*b(w) + 3*q(w). Is 16 a factor of l(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = k**3 + 3*k**2 - 4*k + 3. What is n(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*a**2 - 117108*a - 1755945 = 0. Calculate a.\nAnswer: -39021, -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = a + 1. Suppose 0 = -4*q - 3*m - 3, 5*q - 4*m + m = 30. Let h be j(q). Suppose -8*d + h*d - 20 = 0. What is the closest to 6 in 0.2, 2, d?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 150213564?\nAnswer: 2, 3, 17, 71, 3457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 36635.474 rounded to the nearest 100?\nAnswer: 36600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (7 + 8 - 26) + (8 - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -95*m - 6. Let o(l) = -89*l - 4. Calculate 5*c(q) - 6*o(q).\nAnswer: 59*q - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1275305.6 - 0.1.\nAnswer: -1275305.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 20 and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-12)\/84 - (2 + (-255)\/21). Suppose s*x - 30*x = -300. What is the remainder when 38 is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 626 by -8345.\nAnswer: -626\/8345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:49 AM and 8:54 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*o**2\/3 - 401835608*o\/3 - 53578080 = 0. What is o?\nAnswer: -20091780, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/(8\/10)*5\/25?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = l**2 + 25*l. Let b(s) = -1060*s**2 - 150*s + 2. Calculate -b(g) - 6*c(g).\nAnswer: 1054*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 5, 0.3, 6, 3\/5, 39?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 43006607 (base 8) in base 16?\nAnswer: 8c0d87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*b - 24 + 22 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*g - 4 + 54. Let q be ((-4)\/g)\/(22\/(-10)). Let j = 11.7 - 12. Which is the closest to 2\/3?  (a) j  (b) -1  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(1\/7)*q*q\/(q\/q**(-10))*((q\/q**(3\/4))\/q)\/q**(-7))**(6\/29) assuming q is positive.\nAnswer: q**(-219\/406)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -456*f = -729 - 662 - 889 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*l + 5*l + 89 = 5*r, 0 = -l + 454*r - 458*r - 125 for l.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -141 - -140.999998456. What is x rounded to 7 decimal places?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -620 - 606?\nAnswer: -1526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 1536569 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 44 and 599093.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 121\/20 and 13\/19.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -c**3 + 15*c**2 - 26*c - 11. Let x be g(13). Is 17 a factor of (-20)\/110 - 325*26\/x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is o in -5*o**5 + 185*o**4 - 515*o**3 + 155*o**2 + 520*o - 340 = 0?\nAnswer: -1, 1, 2, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(704)*-3)**2 - (sqrt(176) + -5 + sqrt(11)).\nAnswer: -5*sqrt(11) + 6341","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 18\/95 and 17?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -73, -179, -299, -439, -605?\n\"Answer: -q**3 - q**2 - 96*q + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p + 1 = -4*p. Let i = 3 + 11. Let u = i + -14.2. What is the closest to 0 in -3, p, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) be the third derivative of -m**7\/1260 - 11*m**4\/12 - 5*m**2. Let t(h) be the second derivative of b(h). Let c(z) = -2*z - 2 + 2. Calculate c(t(s)).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 3944335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4.1 + 3.1. Let d = -80 - -74.9. Let u = d + 28.1. Is m less than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 2 - 4)*(5*f + f - 4*f) + (28 - 12 - 2)*(1 + 2*f - 1).\nAnswer: 30*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 18\/17 in -0.2, -1\/2, 1\/3, 5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1710470 a multiple of 482?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.03498346 to 2 dps.\nAnswer: -1.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 13 - 17 = 0. Let p(x) = -x - 3. Let d be (-38)\/6 + (-6)\/9. Let q be p(d). What is the greatest common factor of t and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -3*h**2. Let c(l) = 75330036*l**2. Give v(c(t)).\nAnswer: -17023842971283888*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-76)\/10640)\/(9\/(-120)).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -4*m**3 + 4*m + 11*m**3 + 7*m**2 + 1 - 6*m**3. Suppose 3*p = -5*p - 40. What is d(p)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 1, x: 9, d: 7, l: 2}. What is prob of picking 1 d and 2 x?\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 58002346 to the nearest integer?\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*p - 3*p + 6. Let a(k) = 5*k - 4. Let v be a(p). Let g = 38 + v. Solve -5*c - g = 1 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 times -573934.4\nAnswer: 2869672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-2984)\/(-28) - (-32)\/(-56). Let g be m\/(-6) + (-8)\/(-168)*-7. Which is greater: -188\/11 or g?\nAnswer: -188\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = 4*x**3 - 2*x + 2. Let m be r(1). Suppose 24 = m*q + 4*g, g + g = q + 6. Suppose 0 = -4*b + q*b. Solve -k + 3*v = v + 6, 5*k + 2*v + 18 = b for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 0.3  (b) -2\/11  (c) 155264  (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -4*f + 12*f**3 - 9*f**3 - 39*f**3 + 5*f. Let j be o(1). What is the least common multiple of 5 and (-305)\/j - (-4)\/14?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:07 PM and 1:43 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -105 + 90. Let t = 11 + j. What is the nearest to -1\/4 in 3, t, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1700775119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 2*f**3 + f**2 - 4*f + 2. Let s(t) = t**3 + 2*t**2 - 3*t + 1. Let k(g) = -2*p(g) + 3*s(g). Suppose 0 = 5*l - 5 - 10. List the prime factors of k(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1646402267 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 55*g**5 + 123*g + 4*g**2 - 31*g - 162 - 92*g wrt g.\nAnswer: 3300*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve a = -y + 5, 784*y + 11*a + 10 = 786*y + 10*a for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express (l**2 - 3*l**2 - 3*l**2)*(-4 + 3 + 3 + 2 + 0 - 1 - 1 + 1 + 2 + (1 + 0 + 1)*(1 + 0 + 2) + 0 + 2 + 0) as b*l + i + n*l**2 and give n.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o*(o**30\/o)\/o*o*o**(-3\/17)\/o assuming o is positive.\nAnswer: o**(490\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = 2*b**2 + 8*b + 12. Let o be z(-2). Let k(m) = -11*m + 0 - 2 + o - 1. Determine k(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*g = 346 + 78 - 124 for g.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 201722 is divided by 903?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 15 + -10. Solve -4*v + f*s = 12, 3*s - 8*s + 30 = 5*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find d, given that -4624 - 2*d**2 + 30*d + 20*d + 4676 = 0.\nAnswer: -1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 27*f**2*r - 7542*f**2 + 28*f*r - 644*f + 5 wrt f?\nAnswer: 54*r - 15084","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 388020.2 decades?\nAnswer: 3880.202","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -118 - -116. Let t be (2 + -4)*(2 - (-3)\/c). Put 2, -7, t in ascending order.\nAnswer: -7, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1*(3 - -18)*1\/3*(-6732)\/924\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -4*x - 2*x - 2 - 3*x + 11*x - 6*x. Let c(v) = -5*v - 2. Suppose -5*l = -7 - 8. Suppose -u = -0*u + l. What is u*c(s) + 4*r(s)?\nAnswer: -s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q - 10 = -x - x, 0 = -5*x - 2*q + 37. Let u(t) = t**3 - 5*t**2 - 8*t - 8. Let a be u(x). Suppose 4*l + 72 = a. Is l a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 458738045 plus -37541?\nAnswer: 458700504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 9*x**2 + 26*x**2 - 12*x**2 + (28 - 28 + x)*(-5 + 0 + 10*x + 4) to the form s*x + h*x**2 + k and give h.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -6\/11?  (a) -2\/13  (b) -6\/13  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 39 + 50 - 7943*r + 7924*r + 51 - 18.\nAnswer: -19*r + 122","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 3601229806 a multiple of 175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -44 + 41?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -q**2 + 20*q + 51. Let m be t(22). Suppose 5*a - 5*w - 4 = 1, m = a + 2*w. Solve 2*c - 3 = k + 5, a*c + 4*k = 1 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -8 + 24. Let k be y\/(-2)*(-65)\/(-26). Let v = k + 37. List the prime factors of v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13918764 smaller than 13918765?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 3 - 5 = 0. Let x = 10 + -6. Let d = 0.4 + -0.5. Which is the closest to d?  (a) x  (b) u  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-3)\/9 - 0 - 11305\/(-21)?\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-14 - (-20 + 0)) + (-1 - 8) + 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4511 - 4511 - 21*y.\nAnswer: -21*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 4, w: 10, e: 6}. What is prob of picking 2 w?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + sqrt(63) + -5.\nAnswer: -5 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((-1 + 1 + 2)*(-x**4 - 2*x**3 + 2*x**3) + 2204*x**4 + 71*x**4 - 6970*x**4)*(1 + 1 - 1) to the form l*x + k*x**2 + w*x**4 + m*x**3 + s and give w.\nAnswer: -4697","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (26\/130)\/((-12)\/(-15) - 0)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -i**2 - 5*i + 10. What is t(-8)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 2\/17, -2\/13, 0.05332, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 1, m: 3, p: 7, o: 1, a: 1, j: 7}. What is prob of sequence mum?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = f**2 + 21*f - 557. Let y = -286 - -76. Let w = -73 - y. Calculate the remainder when w is divided by v(-37).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 12 - 44. Let l = 31 + m. Suppose 3 = j - 3*r + 2, -2*r = 3*j - 3. What is the third biggest value in j, l, 5\/4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1609 = -a - 321. Suppose 4*f - 2230 = -5*k, 5*k + 3*f - 947 = a. Suppose -5*x - 5*h = -3*h - 751, 3*x - k = -h. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/((y**(2\/11)\/y)\/y)*y**(-6))**(-9) assuming y is positive.\nAnswer: y**(315\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) be the third derivative of -z**6\/810 - 2*z**5\/135 + 2*z**4\/9 + 18*z**3 - z**2 - 79. Let a(s) be the first derivative of v(s). Factor a(o).\nAnswer: -4*(o - 2)*(o + 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b - 4 = -7. Suppose 0 = -5*i + b*i + 24. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) be the third derivative of 0*t**7 + 0 - 1\/8*t**4 - 1\/336*t**8 + 0*t - 3*t**2 + 0*t**3 + 0*t**6 + 0*t**5. What is the second derivative of n(h) wrt h?\nAnswer: -20*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(112) - (2 + sqrt(112))**2*-5)*-4 + -2 + -3.\nAnswer: -2325 - 336*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -282 - -292. Let d be (-99)\/(-18) + 1\/(-2). Solve d*v - 3*v = a for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -14.3, -5, -0.03, 7.\nAnswer: -14.3, -5, -0.03, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -69643\/4 + 17410. Which is the second biggest value?  (a) 0.5  (b) i  (c) -24  (d) -12  (e) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3708*i**6 - i**4 - 9687*i**2.\nAnswer: 444960*i**3 - 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 33077*l**3*u**3 - 7681*l**3 + l**2*u**2 wrt u.\nAnswer: 198462*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -2d - -3d8262?\nAnswer: 3d8234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1088 by 1.\nAnswer: -1088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 1240295646 to the power of 1\/4, to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (64*q**2 + 41*q**2 - 161*q**2)*(-1 + 1 - 2)*(-2 - 1 + 5).\nAnswer: 224*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + ((sqrt(153) + -1)*-4 + (1 + sqrt(153))*-1 + -5 + 0)**2 + -3.\nAnswer: 60*sqrt(17) + 3831","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(165)\/(sqrt(5)*-2))\/sqrt(300) + 3 + -1*sqrt(99) + -6*1*sqrt(99).\nAnswer: -421*sqrt(11)\/20 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 9*b + 101. Let v be x(-11). What is the highest common factor of v and 106?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 28\/(-16) - -2 - 3171\/(-84). Solve 10*v = 29*v + y for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6 divided by -16273\nAnswer: -6\/16273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -151\/577800 and -23\/468450.\nAnswer: 200496600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 - 3 = 4*v. Let y = 0.38 - -0.02. Which is the third smallest value?  (a) -3\/7  (b) y  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 994531604?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*m - 4 = 2*r - 8, r - 2*m + 7 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 61\/105 and 5\/147?\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -203 + 254. Is 51 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = 474*r + 1837. Give o(-4).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 170, -57, -434, -967, -1662, -2525, -3562, -4779?\n\"Answer: -o**3 - 69*o**2 - 13*o + 253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -670*g = -189*g + 31746 for g.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a = f - 2009, -4*f = 3*a - 10679 + 2568. Calculate the highest common factor of 88 and f.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.5, -2\/27, -0.002, -2\/11, -7\/4?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.494 + 0.294. What is the second biggest value in -4, -1, r, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 35 (base 9) in base 2?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*c**3*t**3 - 2*c**3*t + 30450*c**2*t + 2*c*t**2 - 333224*t**3 wrt t?\nAnswer: -12*c**3 - 1999344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 431, 863, 1297, 1733, 2171, 2611, 3053?\n\"Answer: c**2 + 429*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) be the third derivative of 11*v**7\/30 + 13*v**5\/12 - 52*v**2 - 2. Find the third derivative of x(n) wrt n.\nAnswer: 1848*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 21\/28 - 107\/4. Let s = 30 + w. Put -3, -10, s in descending order.\nAnswer: s, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -w**3 - 3*w**2 - w. Let b be g(-3). Let q be (27\/6)\/(b\/4). What is the remainder when 13 is divided by q\/(-5)*200\/(-30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 87*i - 88*i = -5*h - 529, 4*h - 4*i + 436 = 0. Are h and -106 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*n**5 + 55*n**4 - 205*n**3 + 85*n**2 + 200*n - 140 = 0. Calculate n.\nAnswer: -14, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 121 and 3509.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -6*v**5 - 46*v + 25*v + 3*v**5 wrt v.\nAnswer: -60*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:17 PM and 1:09 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -20 + -8 + 13 + (-2028)\/(-130). Let q = 0 - 5. What is the biggest value in y, q, 3\/4, -2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2010717?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -819652190 rounded to the nearest 10000?\nAnswer: -819650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*x**5 - 202*x**4 - 900*x**3 - 486*x**2 + 1593*x = 0. Calculate x.\nAnswer: -177\/5, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ynhh when four letters picked without replacement from hynhnhnh.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 28*y**2 - 7*y**2 - 13*y**2. Let i(s) be the third derivative of 44*s**2 + 0*s**4 + 0*s**3 - 1\/60*s**5 + s + 0. Calculate m(i(o)).\nAnswer: 8*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 7.2 + -8. Let j = 635 + -638. Which is the closest to 0?  (a) r  (b) j  (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -91, -85, -53, 17, 137, 319, 575?\nAnswer: 917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1618 a factor of 35319322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (25\/(-2))\/(2\/4). Calculate the common denominator of 1\/(-4) - l\/(-4) and -2\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 542085233 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*b**2 - 52*b - 160.\nAnswer: -4*(b + 5)*(b + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 10}. What is prob of picking 2 e?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) be the second derivative of 4*k**3 + 8*k - 4*k**2 - 4 - 1\/6*k**4. What is the derivative of c(l) wrt l?\nAnswer: -4*l + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 2719 = -2708. What is the lowest common multiple of g and 99?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 57643*z**2 + 33*z + 214. Let l be q(-9). What is l rounded to the nearest 100000?\nAnswer: 4700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -28 by 28.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (40*p - 19*p + 29*p)*(p - 3*p + p)*(-4*p - p + 6*p)*(-p**2 + 4*p**2 - 5*p**2).\nAnswer: 100*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 55627 and 143308?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -2*r + 4*l, 0 = 5*l + 3 + 12. Is r != 3\/26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4.96 + 0.04. Let y = -1 + 0.7. Which is the closest to 0.1?  (a) o  (b) y  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -50\/1363833 and 95\/66.\nAnswer: 30004326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 12838606 a multiple of 325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2091753 divided by -4.\nAnswer: -2091753\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2496\/(-1872) - (1716\/(-18) - 8).\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x = 5*z + 21, 4*z + 78 = 5*x + 6*z. Calculate the greatest common divisor of 56 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find r such that -r**2\/7 + 3698*r\/7 - 3418801\/7 = 0.\nAnswer: 1849","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 458*b - 1165*b + 3722*b + 150750 = 0 for b.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3511\/10 + -725287\/2070. Let i = 586\/207 + -20\/9. Let y = z - i. Which is the third biggest value?  (a) 0.1  (b) y  (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 67519450 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 44 and 66.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from aalfloull. Give prob of sequence ll.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 136 + 410. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4\/6)\/(1\/(-9)*2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) be the second derivative of -n**6\/45 + n**5\/10 - n**4\/9 - 5*n. Find m, given that s(m) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -3*c**3 + 7*c**2 + 9*c - 3. Let u(z) = -2*z**3 + 4*z**2 + 5*z - 2. Calculate -4*t(r) + 7*u(r).\nAnswer: -2*r**3 - r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:31 AM and 12:47 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 6408 - -2828. What are the prime factors of l?\nAnswer: 2, 2309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1 - 2 - (-7 + 1). Suppose 6 + 10 = 4*a. Suppose 0 = 4*t - t + 9, a*t - 143 = -h*j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26 + 36 = 2*f. Let a = -67 - -76. Suppose -6 = a*m - 11*m. Calculate the smallest common multiple of f and m.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = 180*o**3 - 8*o**2 + 13*o + 1. Let i be z(2). Let t = i + -826. List the prime factors of t.\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) be the first derivative of -1\/4*y**4 - 2*y**3 + 5*y**2 - 11*y - 3. Is j(-8) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = 2*l + 22. Let x be d(-11). Suppose 3*v - 10 - 86 = x. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xddxxxdxxtxdj. Give prob of sequence jd.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -212 - -309. Let p = -61 + u. Suppose -w = w - p. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -2*k. Let s(c) = -4*c + 3. Let f(w) be the first derivative of -3 - 5*w + 9\/2*w**2. Let r(p) = -3*f(p) - 5*s(p). What is y(r(d))?\nAnswer: 14*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.91 - 0.09. Which is the closest to -0.2?  (a) j  (b) -0.2  (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h**(-3\/8)\/h)\/(((h**4\/h)\/h)\/h))\/(h**(-5)*h\/h**(2\/21)))\/(h**(-1\/3)\/(h*h**0))**30 assuming h is positive.\nAnswer: h**(7009\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -46 = 5*f - 0*f + 3*j, 0 = -2*j - 4. Let v(h) = h**2 + 7*h - 4. Let m be v(f). Suppose 2*i + q - 28 = 0, 0 = -m*q + q. Does 2 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -660*b = 7*q - 324*b - 337*b + 129, -q = -2*b + 24 for q.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -246*k + 7899 - 16755 = 0 for k.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000437818 to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 21808?\nAnswer: 2, 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -b**3 + b**2 + 11*b + 7. Let r be i(-3). Solve 0 = 4*m + 3*p + 15, -3*m = -0*m + p + r for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) be the third derivative of -8\/3*n**3 + 0 + 0*n + 0*n**5 + 0*n**4 - 6*n**2 + 1\/8*n**6. Differentiate p(b) with respect to b.\nAnswer: 45*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2958.538 decades in months?\nAnswer: 355024.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) be the first derivative of -r**3\/3 + 3*r**2 + 8*r - 1. Let b be c(7). Let d be (0 - 6)\/3 + (-5 - -8). Does d = b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 333  (b) -110  (c) -4  (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -8.052 to one dp.\nAnswer: -8.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 2, h: 2, e: 2, l: 4, r: 3}. What is prob of sequence eelb?\nAnswer: 2\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 323*l**2 + 96*l + 6. Let y(g) = -650*g**2 - 191*g - 12. Let i(m) = 9*c(m) + 5*y(m). Factor i(k).\nAnswer: -(7*k + 1)*(49*k + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11 (base 4) to base 15\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 33\/(-44) - 3\/(-4). Suppose n = a - 6*a + 610. Let b = -80 + a. Calculate the highest common divisor of 14 and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 3  (b) 16  (c) 5  (d) 866811  (e) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-8)\/10*50\/(-4). Suppose -o = -6*o. Suppose -5*t = 3*g - t - 150, 5*t = o. What is the highest common divisor of u and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*u**3 - 88*u**2 + 7*u**3 + 88*u**2 - 6*u in the form g*u + i*u**2 + n + w*u**3 and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:55 PM and 2:35 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19*b**3 + 3 - 3.\nAnswer: 19*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = i**2 + i**3 + 3*i - 2*i**3 + 3 + 5*i**2 + 0*i. Is x(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -38 + 48. Suppose r = 5*k, -2*k + 38 = 4*v + 3*k. Does 2 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -7158*s + 7153*s - 2*v - 48, 80 = s - 6*v for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.022 + -0.378. Which is the nearest to -0.3?  (a) v  (b) 3  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**(3\/7)\/q*q**(-2\/27)*q assuming q is positive.\nAnswer: q**(67\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 3\/7, 2\/7, 1\/4, -2\/7, -71.00501 in ascending order.\nAnswer: -71.00501, -2\/7, 1\/4, 2\/7, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -10 + (-281883)\/18795 + 25. Suppose -2*u - 5*f + 0*f = -12, 3*u = 4*f - 5. Are u and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -9009274011.58 - -0.15.\nAnswer: -9009274011.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 19280303 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 3*k**3 - 42*k**2 - 10*k + 143. Let q be o(14). Solve a + 4*v + 24 = 0, 2*v = -3*a - q*v - 37 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 98 + -93. Let g = -0.6 - -1.8. Which is the nearest to g?  (a) -0.3  (b) -3  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p = -20, 5*w + 3*p - 78 = -0*w. Calculate the highest common factor of w and 162.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 7, 11, 27, 61, 119, 207, 331?\n\"Answer: s**3 - 3*s + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 12376*d**2*f*l + 44*d**2*l + 5*d**2 + 26282*d*f*l - 20*d*f - 5*f wrt d?\nAnswer: 24752*f*l + 88*l + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u\/((u\/(u*u**(-3\/7)*u))\/u))\/u*u*u*u*u**10*u*((u*u**10)\/u*u)\/(u*u**(-6)))**(-1\/5) assuming u is positive.\nAnswer: u**(-221\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is -1439309 equal to -1439311?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 6449 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.0816?  (a) -3  (b) -0.3  (c) 7  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1071417?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 2\/5  (b) -0.1  (c) -17  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*y**2 - 3*y**2 + 2*y**2)*(-3216*y + y**3 - 156*y**2 + 3216*y).\nAnswer: -y**5 + 156*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 116629?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -128.6409 to 1 decimal place.\nAnswer: -128.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 6973291181 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 64\/288 - ((-936)\/(-405))\/(-4)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*f*g**3 + 2*f*g**2 - 22*f*g + 4*f + 24*g**3 - 2*g**2 + 50*g - 2 wrt g.\nAnswer: -12*f*g + 4*f + 144*g - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 538 minutes after 12:11 AM?\nAnswer: 9:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = j**2 + 8*j + 2. Let p be l(-8). Suppose 0*a - p*q + 14 = 4*a, -3*a + 7 = -2*q. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of (-13 - -27 - 10) + 80\/5 and 550.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 13 + -18 + (-5 + 6 - 2)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 11479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 5*h - 26 = 0, -5*u + 2*h - 21 = -6. Let k be 4 - 7 - u*10. Suppose 43 = k*g + 15. Solve -s = g*z - 23, -2*z + 5 = -5 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = 5*t + 12. Let x(o) = -o + 1. Let g(f) = l(f) + 4*x(f). Let c be g(-10). Solve y - c*y + 15 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = 5*y**2 - 2*y + 1. Let r(w) = w**2 + 0*w + 2 + 0 - 3*w + 5*w**2. Let n = -1 - -4. Calculate n*r(u) - 4*f(u).\nAnswer: -2*u**2 - u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 0 + 112031223?\nAnswer: 112031223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -2*(3\/4)\/(3\/2). Which is the nearest to -1\/5?  (a) -2  (b) -0.3  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 268*o - 409 wrt o.\nAnswer: 268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = i**2 - 1. Let d(t) = -t**3 - 6*t**2 + 5*t - 4. Let y be d(-7). Suppose -5*m + 5 = -y. Determine c(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = o**2 + 2*o + 4. Let z be u(-2). Solve b = 5*b - z for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 (base 6) to base 13\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*r - 16 = -3*y, -19253*r + 2*y = -19004*r - 235 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*b - 2*b + b)*(-68*b**2 + 5003 - 5003) as k*b + h + u*b**2 + p*b**3 and give p.\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 615754955 to the nearest integer?\nAnswer: 851","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) be the second derivative of 5*w**3\/3 - 9*w**2\/2 + 10*w. What is the first derivative of d(l) wrt l?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6)\/33 - (-60)\/(-33).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 36 = -2*i. Let p = -73 + 85. What is the highest common divisor of p and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*u - 4*u + 0*u)*(-582*u + 19*u - 91*u)*(0*u**3 + 0*u**3 - 2*u**3).\nAnswer: -2616*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1 - -6. Find the third derivative of -2*c**r - 2*c**5 - 30*c**2 + 39*c**2 wrt c.\nAnswer: -240*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3506534?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 739 a factor of 14307779?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*o + 80*m - 83*m - 10 = 0, -2*o + 4*m = 4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) be the third derivative of 31*r**7\/210 - r**5\/15 - 21*r**4\/2 + r**3\/3 + 36*r**2 + r. What is the second derivative of q(s) wrt s?\nAnswer: 372*s**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + sqrt(128) + -2.\nAnswer: -2 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -25353 (base 6) to base 5.\nAnswer: -110223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:56 PM and 2:49 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -3, 3\/2, 1.516505?\nAnswer: 1.516505","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:34 PM and 3:25 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 5278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -p**3 + 16*p**2 - 4*p - 4. Let c(v) = -v**3 - 20*v**2 + v - 9. Let r(j) = -j**3 - 2*j**2 - j - 6. Let a(d) = c(d) - 2*r(d). What is 4*a(l) + 3*x(l)?\nAnswer: l**3 - 16*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = 6 - 4 - 4*a**2 + 5*a**2 + 3*a**2 - 4*a. Suppose 4*f - 8 = 0, 12 - 2 = 4*z + f. What are the prime factors of k(z)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -2*z**2. Let p(j) = -2896*j. What is p(o(g))?\nAnswer: 5792*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 2, b: 1, g: 5, d: 1}. What is prob of picking 1 b, 2 g, and 1 d?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 6.4 + 3.6. Let n = s - 7. Let q(z) = 5*z + 1. Let i be q(-1). Which is the third biggest value?  (a) i  (b) -5  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 1, t: 6, x: 2, g: 2, u: 5}. Give prob of picking 1 i and 2 u.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -5*s**2 + 5*s - 5. Let z(p) = -p**2 + p + 1. Let x(j) = -i(j) + 6*z(j). Give x(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -330 + 328.4. Let v = i + 1.6. What is the nearest to -2 in 1\/4, v, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 262423 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1\/(2 + 17\/(-8)). Is 15 a factor of (1*15)\/(w\/(-16))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -2.044 and -3.\nAnswer: 6.132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 11*m - 17. Suppose -t + 4*t + 51 = 0. Let x(l) = -4*l + 4. Let r(q) = -4*q + 3. Let o(h) = 2*r(h) - 3*x(h). Let p = 522 - 516. Give p*z(v) + t*o(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -i**2 - 9*i + 3. Let s be r(-9). Let z(d) = -3 - 2 + 6 + 0 - 2*d**s. What is z(-2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 4*w**3 + 5*w**2 - w - 5. Let n(o) = -o**2 + 1. Let i(a) = -5*n(a) - q(a). Let x be i(-1). Solve -x = 4*s + 13 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*o + 2008 = 16*o. What is the tens digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 8 + -6. Let q(w) = 10*w**2 - 2*w - 8*w**2 + 5 - w**3 - f. Determine q(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 1, 4, -2664 in descending order.\nAnswer: 4, 1, -2, -2664","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/33 - ((-575)\/440 - 10\/(-8))\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -17 - -166. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xxcarnncu. Give prob of sequence unxx.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:50 AM and 7:00 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 63982 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -348 = 5*h - 363, -22 = 2*i - h - 3*h for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bzcc. What is prob of picking 1 c and 1 b?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = 8*f**2 + f - 2. Give d(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 2 + 3)*(667*j + 416*j - 8*j)*(-2 + 4 - 5).\nAnswer: -3225*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -3*i**3 - 4*i**2 + 2*i. Let t(f) = f**3 + f**2 - f + 1. Calculate 2*t(q) + z(q).\nAnswer: -q**3 - 2*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 21*s**3 - 10*s**2 + 12*s - 21. Let x(d) = -53*d**3 + 19*d**2 - 24*d + 41. Let q(o) = -5*b(o) - 2*x(o). Give q(-13).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -2*l + 8. Let a be z(4). Suppose 84 = 4*h + 4*n, a = -h - 3*n + 32 - 5. Suppose -3*i + h = -48. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1444411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 5*3\/(30\/4). Let l be (-10)\/8*(q - 6). Let t = 73 + -49. Solve -5*j - t + 9 = l*r, 3*r - 2*j = 16 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*d**2 + 8 - 8)*(3*d + 2*d**3 - 3*d) + (2*d**2 + 2*d**2 - 6*d**2)*(d**3 + 2*d**3 - 4*d**3).\nAnswer: -4*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 - (5 + (-8 - 15)) - 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 59501?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 3\/8 of a micrometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of ((-238)\/289)\/((-12)\/124194) + (-2)\/17?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) be the third derivative of r**5\/15 + r**4\/4 - 2*r**3\/3 - 6*r**2. Let m(f) = -f**2 - f + 1. Determine 5*m(x) + s(x).\nAnswer: -x**2 + x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - w - 19 = 0, 8 = -3*w - 1. Suppose -u*a - 26 = -10, -k - 5*a + 20 = 0. Solve 0 = -5*c + 15*c + k for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - 11*b = 480336, 2*m + 21*b - 240126 = 16*b. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 16.197 - 0.197. Let i = -55 + 38. Let a = i + t. What is the closest to a in -0.04, 1, 5?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 42705*r**3 - 716*r - 6 wrt r?\nAnswer: 256230*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from tjtqtjqq?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6 - (3 + (-6 - -3))) + -9.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9 divided by 6163.\nAnswer: -9\/6163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -5*s. Let l(j) = 3*j - 5. Let u(f) = 3*f - 6. Let w(v) = 6*l(v) - 5*u(v). Determine w(d(n)).\nAnswer: -15*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 1859382 a multiple of 888?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 92764 is divided by 68.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -8*(8\/(-12))\/((-4)\/6). What is the remainder when 91 is divided by (310\/(-15))\/(-2 - x\/6)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 271*x. Let u(z) = -2*z**2. Give b(u(k)).\nAnswer: -542*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from sqwwsywwwqqs?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3336, -6287, -9238, -12189?\nAnswer: -15140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2, -0.064, 2\/13?\nAnswer: -0.064","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-6\/5))**(-1\/2)\/((i\/i**8)\/i)**23 assuming i is positive.\nAnswer: i**(923\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or 2\/78537?\nAnswer: 2\/78537","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 134 + 11?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1\/2 - 9\/26. Let z = -7 + 6. Let y = -0.1 - -0.4. Which is the biggest value?  (a) z  (b) y  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-12)\/(-14)*(-2 + 728\/21). Is (d\/(-20))\/7 - 1124\/(-20) a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 120 divide 15383807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -107*y - 14932. Calculate c(-147).\nAnswer: 797","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 68932 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -123*o - 12*o = -15*o - 600. Solve 3*n - 3*i + 6 = 0, 0 = 3*n + 2*n + o*i + 10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 7 or 51?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 1449 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -24 - -28. What is the highest common divisor of 40 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1 + -3245026?\nAnswer: -3245025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*h + 139*h**2 + 294*h**2 + 184*h**2 + h**3 + h**3.\nAnswer: 2*h**3 + 617*h**2 - 12*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -b**2 - 6*b - 6. Let d be s(-4). Suppose 4*g - 40 = d*g. Suppose -3 = -3*z, -t + 2*z + g = -0*t. Does 9 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p + 8 = -3*x, 5*p - p + 8 = -x. Suppose j = 37 - x. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) be the second derivative of -t**4\/4 - 2*t - 20. Let i(x) be the third derivative of 11*x**5\/60 - x**2. Calculate j(i(p)).\nAnswer: -363*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (20\/8)\/(3 + 15\/(-6)). Suppose -128 = -j*h + 97. Let g = h + -48. Let o(s) = s**3 + 4*s**2 + 3*s - 3. Give o(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 8\/20 + (-231)\/15. Suppose 0 = -5*z - 10 - 30. Let g = z - m. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -5*c - 7. Let h(q) = 2*q - 12. Let w(g) = 4*g - 22. Let b(s) = 11*h(s) - 6*w(s). Determine b(o(n)).\nAnswer: 10*n + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3258 divided by 990.\nAnswer: 181\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand 9*v + 3*v + 9*v + (3*v - 3*v + v)*(0 - 2 + 3).\nAnswer: 22*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1250990060?\nAnswer: 2, 5, 62549503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -7 + (-2 - -1 - (13 - 20)) + 18\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x, 1 p, and 1 v when three letters picked without replacement from vvmxmxvmvpg?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 549932580 divided by 2034?\nAnswer: 270370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -2*v**2 + 2. Let z(w) = -8*w**2. Give y(z(r)).\nAnswer: -128*r**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*f + 7*f - 30 = 0. Let h(s) = -s**2 + 3*s - 17. Let p(o) = -3*o**2 + 11*o - 51. Let u(z) = -7*h(z) + 2*p(z). Let m be u(f). Is 37 greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 585 and 1080?\nAnswer: 14040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g - 2*b = -12, 0 = g + g - 5*b + 18. Solve -2*i + g + 9 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 4248748 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = s**3 - 6*s**2 - s - 10. What are the prime factors of b(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 238\/8 - 13\/(-52). List the prime factors of p\/(-4)*(-156 + -2).\nAnswer: 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0267 - 0.05?\nAnswer: -0.0767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10006*w**2 + 5969*w**2 + 17164*w**2 - 2284*w**2.\nAnswer: 30855*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*a + 215 = 203, 2*l - a + 3 + 10 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 638?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (0 - -2)\/(-2) + -74. Let o be (1 - (-2)\/(-6)) + (-25102)\/(-336). Let c = o + j. Does c = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 191, 407, 617, 821?\n\"Answer: -3*i**2 + 225*i - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*l**2 - 4*l - 21*l**2 + 4*l.\nAnswer: -10*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 22 + -25. Let c be (o - -4)*4 + 1. Suppose 4 = -3*f - c. Sort -2, 2, f in ascending order.\nAnswer: f, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 667 minutes before 5:02 AM?\nAnswer: 5:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 64481132?\nAnswer: 2, 16120283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.3 - -1.7. Let q = -242 + 242.835. Let h = q - 0.735. Which is the nearest to h?  (a) 4  (b) i  (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.84 - 0.840061. What is h rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -y**3 - 13*y**2 + 12*y - 23. Let l be j(-14). Suppose 0 = 4*n + l*r - 662, 6*n + 3*r = 4*n + 332. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-6)\/18)\/((-3)\/(-18))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -33.534 and -0.3.\nAnswer: -33.834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -47028, -44068, -41106, -38142?\nAnswer: -35176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-106 + -3)*(1 - 2) is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -8 + (-15 + 10 - -12) - (0 - -17)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*o**2 + 1168*o - 1172.\nAnswer: 4*(o - 1)*(o + 293)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 3*j**2 - 2. Let w(p) = 21641*p. Calculate w(d(a)).\nAnswer: 64923*a**2 - 43282","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 343892 a multiple of 149?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0 + 0. Let o = f - 0.3. Let x = 0.03 + 0.07. What is the second smallest value in o, -2, x?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 63 minutes before 3:54 PM?\nAnswer: 2:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 19 - 49. Let v be ((-12)\/x)\/((-1)\/(-5)). Let y be 2\/3*3\/4. Which is the second biggest value?  (a) 4  (b) v  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 914, 3, 683.\nAnswer: 0, 3, 683, 914","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-168)\/(-416) - 1\/4. Sort 0.4, y, -1\/4 in decreasing order.\nAnswer: 0.4, y, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**(3\/2)\/t**(-2)*(t*(t*((t*t**(-1))\/t)\/t)\/t)**(2\/119) assuming t is positive.\nAnswer: t**(829\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 10 - -55. Is n at least as big as -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 230 and 632546.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 + 5 + c**4 + c**4 = 0. Calculate c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.17433736 to four decimal places.\nAnswer: 0.1743","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-20)\/(-14))\/((-377)\/(485576\/10580))?\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 423357?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -47, -42, -53, -86, -147?\n\"Answer: -a**3 - 2*a**2 + 18*a - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -211 - -11200010?\nAnswer: 11122022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = 2*w. Let l = 2 - 0. Let t(n) = -12*n**2 + 0*n**2 + 5*n**2 + 6*n**l. What is t(k(g))?\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*r - 45 = 3*p, 423*r = -2*p + 418*r + 47 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sum 2821 and -3250260.\nAnswer: -3247439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -13*z**3 - 6*z + 13. Let r(o) be the first derivative of -7*o**4\/4 - 3*o**2\/2 + 6*o - 2523. What is -13*r(a) + 6*v(a)?\nAnswer: 13*a**3 + 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert -14 (base 6) to base 14.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 8 and 828.\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 5 - 14*p**3 - 3 - 4 - 6*p + 15*p**3 - 5*p**2. Calculate l(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -47*f - 102*f - 302*f = 12628 for f.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5071*w**5 + 2808*w**2.\nAnswer: 304260*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 7, x: 2}. What is prob of sequence xgx?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*o - 2*o + 618. What are the prime factors of o?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.2073 times -2.1?\nAnswer: -17.23533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 244208 is divided by 121826?\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(700) + 0 - (-4*(sqrt(700) + -2)**2 + sqrt(700) + sqrt(700)))*-1.\nAnswer: -2816 + 150*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.5 and -1608?\nAnswer: 1607.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 - 3) + 4 - -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 76257505 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 8827532?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 1351*u - 1394*u + 172. Sort 6, -21, -2, u in descending order.\nAnswer: 6, u, -2, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = b**2 - 3*b + 5. Let q be n(8). Let l be (-648)\/156 + 2\/13. Let z be (1 + l - -6) + (-210)\/(-5). What is the greatest common divisor of z and q?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1136 and -11?\nAnswer: -12496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 3486 or 38342\/11?\nAnswer: 3486","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3045 + 3013 + (1 - -80).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -175752969*g + 1161648?\nAnswer: -175752969","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -r - 2*x + 10 = -9, 2*x - 15 = 3*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = m - 44 - 55. Suppose p - 3*t = 12, 0*t - t + 8 = p. What is the greatest common divisor of m and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 7700002 = -100*d + 104*d, 2*d + 3850002 = v. What is d rounded to the nearest 100000?\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -243798*l**3 - 366169*l.\nAnswer: -1462788*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 304486?\nAnswer: 2, 7, 13, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = j**3 - 3*j**2 - 9*j - 8. Give c(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1179, 7, -18804.\nAnswer: -18804, -1179, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 30485 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sum 6798 and 87521498.6.\nAnswer: 87528296.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 17*f**3 + 1. Let l be u(1). Suppose t - 4*o = 12, -t - o - 2*o - 9 = 0. Let d be 1 + t + (12 - 1). Calculate the greatest common divisor of l and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0  (b) 3  (c) -2\/29  (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 6.668?  (a) 56  (b) 0.1  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18936\/117 - 2\/(-13).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(-1)*i)\/i*i*(i\/i**(-10)*i*i)\/i)**(4\/13) assuming i is positive.\nAnswer: i**(48\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 74*g**2 + 117*g**2 + 38 - 3*g - 203*g**2 to h*g + f*g**2 + a and give a.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/(-20)*-38)\/(((-32)\/(-8))\/20).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 259 + -258.6. What is the third smallest value in o, 0.6, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 683 - -32446?\nAnswer: 33129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 0.2  (b) -0.6  (c) 5  (d) -0.13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Determine z so that 4*z**4 + 48*z**3 + 192*z**2 + 256*z = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) be the first derivative of 227*x**6\/360 - x**4\/12 - 28*x**3\/3 - 8. Let w(n) be the third derivative of p(n). Is w(-3) 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 664*h**6 + 4*h**5 - 6173*h**2?\nAnswer: 79680*h**3 + 240*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20918 is divided by 121.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 41\/171 and (-1603)\/1995 + (114\/(-76) - 19\/(-10))?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 672 minutes after 4:08 PM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Total of -4.76599175 and -1.73.\nAnswer: -6.49599175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*m + 3*b - 477, -b - 116 + 123 = 0. What is the least common multiple of m and 2487?\nAnswer: 94506","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 3 and 0.0070292.\nAnswer: 0.0210876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -618  (b) 4\/3119  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 214470 divided by -90?\nAnswer: -2383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 231\/(-15) - 1*6\/(-15). Let p be (-4 - 85\/x)*3. Solve -t = -p*t - 4*s - 16, 15 = -2*t + 5*s for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 21a (base 11) to base 6.\nAnswer: 1115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 47\/100122 and 28\/297813.\nAnswer: 268627326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*y + 5*w = 15, 4*y + 12 = 4*w + 32 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express -7*l**2 + 30*l**2 + 12*l**2 in the form h*l**2 + a + b*l and give h.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1054 - -1262. Calculate the greatest common factor of u and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = 1702*h + 1702. Let y be p(-1). Factor 3\/2*g**4 + 12*g**2 - 6*g - 15\/2*g**3 + y.\nAnswer: 3*g*(g - 2)**2*(g - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 16155 - -0.1.\nAnswer: 16155.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 73470.95 years in decades?\nAnswer: 7347.095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence css when three letters picked without replacement from iwisisisiiwwiicici?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 41 + -22. Let f(x) = -x**2 + 6*x + 134. Let w be f(15). Let j = s - w. What is the highest common factor of 4 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -29, -18, -7, 4?\n\"Answer: 11*j - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*a**2 - 4*a**2 + 0*a**2 + (a - a - 2*a)*(0*a - 2*a + a) - a**2 + 3*a + 3*a - 4*a - a**2 + 0*a**2 - 2*a**2 + (-2*a + 4*a - 3*a)*(-a + 3*a + 0*a).\nAnswer: -12*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: Is 123365132 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -865328 divided by -1.\nAnswer: 865328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) be the first derivative of -i**4\/12 + 541*i**2 + i - 17. Let n(l) be the first derivative of r(l). Is n(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1462*w - 483*w - 492*w - 489*w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27*i = -5*i - 154. Let t = -30 - -45. Factor -11*b**4 - 10*b**2 + t*b**3 + 13*b**4 - i*b**3.\nAnswer: 2*b**2*(b - 1)*(b + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7140007?\nAnswer: 7, 1020001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1034295 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 14\/5, 0.3, 150 in ascending order.\nAnswer: 0.3, 14\/5, 150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 114593 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: ((-4982)\/(-376))\/(16\/(-832)*13)\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -11110000001110111101 (base 2) in base 12?\nAnswer: -3b5539","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:00 PM and 5:16 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -3*r**3 - 6*r**2 + 56*r + 81. Calculate p(-7).\nAnswer: 424","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put -18, -20, -8, 85 in decreasing order.\nAnswer: 85, -8, -18, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 27*(-14)\/(-1050)*1\/(-6)*10?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00002661 rounded to 6 dps?\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 8, -1\/5, 0.4, -4\/69, -0.5, -73\/13?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/5?  (a) -2  (b) 688  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -4060, -2851, -820, 2045, 5756?\n\"Answer: 2*u**3 + 399*u**2 - 2*u - 4459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 9*j + 90. Let v(m) = -m - 1. Let p(d) = t(d) - 5*v(d). Differentiate p(z) wrt z.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 92.7064 centuries in months?\nAnswer: 111247.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 699 minutes after 7:40 PM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3971682 by -16973.\nAnswer: -234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = 2*o**3 + 7*o**2 - 5*o - 22. Give p(-5).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = k**3 + 12*k**2 - 28*k + 4. Give u(-14).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 164209 is divided by 27364?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -7*n**2 + 6. Let i(p) = -14*p**2 + 11. Let w be ((-15)\/50*2)\/((-3)\/(-30)). Calculate w*i(a) + 11*v(a).\nAnswer: 7*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/16 of a minute in milliseconds?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2545525 rounded to two decimal places?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.067773 + -0.112236. Let o = 0.06 - -0.12. Let h = v + o. What is h rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 11*j**6 + j**5 - 172*j**4 - 2654*j**2?\nAnswer: 1320*j**3 + 60*j**2 - 4128*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 26*x**2 - 16*x - 4. Let l(s) = 5*s**2 - 3*s - 1. Calculate 3*j(t) - 16*l(t).\nAnswer: -2*t**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - 5*v = y + 940, -4*y + 1232 = 4*v. Suppose 3*k - 2*g - 186 = 0, -2*k - 3*k - 3*g = -y. Let j = k + -25. List the prime factors of j.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = 63*c + 211. What is the hundreds digit of v(20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 717\/10, 2, -5 in decreasing order.\nAnswer: 717\/10, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 236 + 64 = 15*w + 45. Solve 4*p - 3*v = w, -3*v = 5*p - v - 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = 6*c. Let p(x) = 1. Let b(q) = -n(q) - 8*p(q). Differentiate b(l) wrt l.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2384 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 693500 and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -77 - -76. Let c be f*(-4)\/(-1)*-1. Suppose 0 = 5*t - c*h - 178, 4*h - 29 = -2*t + 31. 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 800000 rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 403*b**2 + 20*b + 39. Suppose 0 = 8*y - 19 + 51. Is h(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g and 1 b when two letters picked without replacement from {r: 2, b: 3, g: 4, i: 1, m: 1}.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-69)\/(2\/(-6)*63\/(-14)). Let f = -43 - c. Suppose 3*h + 117 = 3*k, f*k + k = 3*h + 154. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 6745 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -0.4 - 1742481\nAnswer: -1742481.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 5*m**2 + 202*m. Let c(k) = 8*k**2 + 403*k. Calculate 3*c(d) - 5*t(d).\nAnswer: -d**2 + 199*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i**4 - 10083*i**3\/4 - 67839*i**2\/4 + 49019*i\/2 - 5028 = 0 for i.\nAnswer: -2514, -8, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -m**2 - 22*m - 36. Let f(r) = r**3 - 4*r**2 - 3*r - 8. Let t be f(4). Let s be w(t). Let k = -107 - -771\/7. Which is greater: k or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 11*d**2 + 1252*d - 251. Give q(-114).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 142 divided by 142.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1336888044?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 2812314803 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 317*a + 284*a - 602*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hh when two letters picked without replacement from ohoococchhohh?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -6 + 9. Suppose -8 = -u*x + 10. Suppose 0*w - x = -3*w. Solve 0*m - 5*m - w = 4*b, -1 = 3*b + 4*m for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.11 - 0.25. Sort 1\/8, 0.2, d in increasing order.\nAnswer: d, 1\/8, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1174, 8767, 29198, 68887, 134254, 231719, 367702, 548623?\nAnswer: 780902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 70.8 + 235?\nAnswer: 305.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 25.79787mm?\nAnswer: 0.00002579787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) be the first derivative of 2*l**3\/3 + 3*l**2\/2 + l + 83. Let m(x) be the second derivative of x**4\/12 + x**3\/6 - x. Determine -3*m(t) + z(t).\nAnswer: -t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*u - 178 + 1903 = 0. What is the remainder when u is divided by 26?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(84)\/sqrt(4)*5 - 6*-2*sqrt(21))\/(1*sqrt(192)*3).\nAnswer: 17*sqrt(7)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v = 3*v + n - 6, -4*v = -n - 8. Let y(j) = j - 2 + 1 - v*j + 0. Suppose -4*q = -8, 2*q - 29 = -5*k - 0*q. Calculate y(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2764 != 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (207\/8 - (-54)\/432)\/(-2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -2*l**2 + 11*l - 3. Let i be (-5 + 0)*(2 - 3). Suppose 3*x = a + 2, -3*a - 2*x = -29 - 9. Calculate the least common multiple of d(i) and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + 2 + sqrt(143)\/sqrt(11) - (((sqrt(91) + -1*sqrt(91))*1)\/sqrt(7))**2.\nAnswer: sqrt(13) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10 - -110111100?\nAnswer: 110111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {c: 10, k: 4}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 53*m**2 - 3*m - 2. Suppose 2*t - t + 4*u = -1, -5*u = 0. What is the smallest common multiple of d(t) and 16?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:11 PM and 10:00 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 135\/(-9)*(-1)\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -21 - -41. Let g be 10\/15 - (-308)\/6. Suppose -2*f = 2*l + 2*l - 40, g = 5*l + 3*f. Calculate the greatest common factor of l and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11405.83496 rounded to the nearest one hundred?\nAnswer: 11400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1021060.\nAnswer: 2, 5, 19, 2687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4 + 118\/10 + -3)\/(3 + -1)?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/2)\/((-9)\/(-189)*-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 0.36 - 2\nAnswer: -1.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5 = w + c, -18 = 48*w - 52*w - 3*c for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 42781149?\nAnswer: 3, 1584487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 16*w - 12*w - 20, -13*w = 5*r + 20 for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) -0.3  (b) 1\/2  (c) 0  (d) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hmch. What is prob of sequence mmcm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2)\/(-5) - 2\/5. Find u, given that -2\/3*u**4 + r*u + 0*u**2 + 0*u**3 + 2\/3*u**5 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(-3\/7)*k\/k**(-8))\/(k*k\/(k\/((k\/(k\/k**(-1)*k))\/k)*k))**45)**(-31) assuming k is positive.\nAnswer: k**(-31155\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 21583 and 452.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -2 - ((4 - 1) + 1). Let l be 68\/p + (-3)\/(-9). What is the remainder when ((-21)\/(-5))\/(l\/(-55)) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/10 of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 1 = 0, -5*n - 58*q + 172 = -61*q. What is the remainder when -5 + 3 + -1 + 99 is divided by n?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.302 and 33.\nAnswer: 9.966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 404 - 390. Suppose -673 = -w*g + 937. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-30)\/(-36)*33*5226\/(-105391)\nAnswer: -15\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 703395*a - 4923768. Calculate g(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 1.154081 decades?\nAnswer: 0.01154081","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 80 divide 31003?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 17832915.5 to the nearest 1000000.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 1491 plus 1276517614?\nAnswer: 1276519105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7779331320.\nAnswer: 2, 3, 5, 113, 563, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 30 and 172895950.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 3, 0, -0.1, -894, -1, 12\/31, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2 - 2.2. Let k = 184.2 - 184. What is the third smallest value in 0.3, p, k?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 5208 and 558?\nAnswer: 15624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 153102259 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -t**2 + 131*t - 2200. Determine a(20).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*g - 5*a + 80, 2*a = 2*g + 3*g + 65. Let m(i) = i**3 + 11*i**2 + 3. Let x be m(g). Solve 0*n + 9 = -x*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 307516.\nAnswer: 2, 11, 29, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 1 a when two letters picked without replacement from {y: 4, a: 3}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -p**3 - 6*p**2 + 23*p - 9. Determine y(-9).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-124)\/(-20) - 6\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {p: 3, e: 4, w: 4, x: 1, a: 1}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:24 AM and 11:07 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*p - 19 = -2*k - 3, 0 = -2*k + 2*p - 12 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 44113 + 2400?\nAnswer: 102013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z = -6*z + 35. Find the third derivative of -3*n**2 + z*n**6 - n**2 - 10*n**6 wrt n.\nAnswer: -360*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -45471\/17 + 2673. What is the third biggest value in 1, -2\/11, -0.09, n?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 15388?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 164578*r**3*t**3 - 468698*r**3*t**2 + 3*r**2*t**2 - 17*r*t**5 - 2*r wrt t?\nAnswer: 987468*r**3 - 1020*r*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:05 PM and 1:06 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 76943547, 76943546, 76943545, 76943544, 76943543, 76943542?\n\"Answer: -f + 76943548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000077738457 to seven dps.\nAnswer: 0.0000777","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 10\/(5\/250000 - 0). Round t to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8818 (base 11) to base 13\nAnswer: 53b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -53.31 - -17.39. Let a = x + 35. Let c = a - 0.08. What is the second smallest value in c, -2\/3, 3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 405\/11 + -37. Let m(p) = -p**3 + 2*p**2 + 2*p + 4. Let q be m(3). Is r >= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 15*c**2 - 6659*c - 61604. Calculate y(453).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -9, -47, -117, -225, -377, -579, -837, -1157?\n\"Answer: -g**3 - 10*g**2 - g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6.665 + 13.\nAnswer: 19.665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) be the first derivative of -2*l**6\/3 + 96*l**5\/5 - 104*l**4 + 712*l**3\/3 - 270*l**2 + 152*l + 628. Factor f(p).\nAnswer: -4*(p - 19)*(p - 2)*(p - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2.857 - 0.857. Let q(x) = -x**2 - 3*x + 2. Let f be q(-4). Sort t, -6\/5, f in decreasing order.\nAnswer: t, -6\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -163*v**2 + 56.\nAnswer: -326*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 421 + 651. Suppose 3*u - 1414*m - 191 = -1419*m, 61 = u + 3*m. What is the highest common divisor of u and y?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 5 = 2*a + 1, -j + 2 = -2*a. Suppose a = -2*u - u + 9. Let k be (3 - u) + (-1 - -188). Calculate the highest common factor of k and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -5 + 7. Suppose -r*q = 5*p - 46, 5*p + 3*q - 29 - 20 = 0. What is the units digit of ((-8)\/5)\/(p\/(-20))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 22926280?\nAnswer: 2, 5, 13, 44089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7310046.\nAnswer: 2, 3, 137, 8893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 3056.97 months in years?\nAnswer: 254.7475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -229*x**4 + 2*x**3 + 56625*x**2 - 377126424 wrt x.\nAnswer: -916*x**3 + 6*x**2 + 113250*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1110100110101 + -101?\nAnswer: 1110100110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -367*p + 186*p - 144 = -249*p - 8 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/3?  (a) -0.3  (b) -3  (c) -1  (d) -40  (e) 1\/83\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = r - 9. Determine w(-21).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -105194 or 193?\nAnswer: -105194","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 57\/7 and 41\/11190?\nAnswer: 78330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-4)\/5 - 4598\/(-1815)*(-6)\/(-4). Let n(v) be the second derivative of 1\/150*v**5 - 1\/45*v**4 + 6*v + 1\/45*v**k + 0 + 0*v**2. Find i such that n(i) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4445 (base 9) in base 10?\nAnswer: -3281","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.38962 millennia to years.\nAnswer: 389.62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 29 + -15. Suppose -5*j + 6 = 5*i - 4, i = -3*j + 12. Suppose 11 = j*p - h. Solve m = -5, 3*m + 23 = -3*w + p for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 6?  (a) 4  (b) -2\/5  (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -13*m - 170. Let u be 47\/(611\/78) - (-1 + 20). What is p(u)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 2 x when three letters picked without replacement from {p: 10, a: 4, w: 2, x: 3}.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2.34 - 0.34. What is the second biggest value in t, -1, -1\/42?\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = -p + 3*s, p - 6 = -4*s + 5. Let y = 4 - p. Calculate the smallest common multiple of 1 + 12\/2 + 0 and y.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*y**3 + 22*y**3 + 25*y**3.\nAnswer: 39*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (4\/(-6))\/(1\/(-18)). Let q be (8\/z)\/((-4)\/(-66)). Let r(t) = 1 + 0 - t - 4*t - 2*t**2. Let h(d) = 6*d**2 + 14*d - 3. Give q*r(u) + 4*h(u).\nAnswer: 2*u**2 + u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = 13*p**2 + 417*p + 34. Calculate d(-32).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 140\/(-30)*(-6)\/8*(-58)\/(-10962)*-72?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8097945 divided by 3.\nAnswer: -2699315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 3007*k**3 - 4103*k**2 - 15*k + 10. Let u(t) = 3007*t**3 - 4101*t**2 - 12*t + 8. Let a(x) = 4*g(x) - 5*u(x). Find the third derivative of a(y) wrt y.\nAnswer: -18042","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) be the third derivative of -m**6\/120 + m**5\/6 + 13*m**4\/24 - 8*m**3\/3 - 6*m**2. Let h be j(11). Suppose 0 = -z + h*z. Solve -12 + z = 4*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*j + 3*j - 5*j)*(-4 - 1 + 0) - 1 + 1 - j.\nAnswer: 29*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -449386*d**5 + 49*d**4 + 2*d + 406385 wrt d?\nAnswer: -8987720*d**3 + 588*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 7283188*a**3*q**2 + 42*a**3 - 4*a**2 - a*q - a + 1071*q wrt q?\nAnswer: 14566376*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*b**3 - 151*b - 657*b + 2*b**3 + 2*b**3.\nAnswer: b**3 - 808*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -8 divided by -104\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -50, -99, -174, -269, -378, -495?\nAnswer: -614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -31*m + 90. Determine i(4).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -2 + 122*v**2 + 2 - 2 + v + 0. Suppose d - 4 = -3*k, d = -5*k - 3*d + 9. Is z(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4988758451 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i + 0*i - 966 = 0. Suppose 3*x - 114 = -21*l + 26*l, 2*l + 12 = 0. What is the highest common factor of i and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - z**2 + 0*z + 0*z)*(-6*z**2 + z**2 + 4*z**2).\nAnswer: z**4 - z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1219\/12 - -405\/4. What is the closest to 124 in -0.3, -5, -0.1, g?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8306810.\nAnswer: 2, 5, 311, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -0.2, -2, 85, 62?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 718 < 4721?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + 5 + -2*(-2 + sqrt(343)))**2.\nAnswer: -308*sqrt(7) + 1493","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/4 in -55535, 4, 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6337*t**3 - 3*t**2 + 6386*t**3 + 2*t**2 + 0*t**2 + 9*t - 2 to r*t + u + j*t**3 + z*t**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -485 divided by 13957.\nAnswer: -485\/13957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 27 - -1 - (39\/15 - (-26)\/65). Solve 5*a + j = 0, -8*a = -c - 4*a + 22 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 9*k**2 - 8*k + 58. What is y(7)?\nAnswer: 443","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 197525.\nAnswer: 5, 7901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 99 is divided by 54.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -56 + 18 + (115 - 70)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 15178679 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/(q*q**(-25))*q)\/q**(-2\/41)*((q\/(q\/q**14)*q)\/q)**(-49) assuming q is positive.\nAnswer: q**(-27058\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 13.259085 times -0.01\nAnswer: -0.13259085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.7?  (a) -9\/5  (b) -18  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -90, -184, -278?\nAnswer: -372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 41 = 6*w - 7. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -720 + 2878 = 13*y. What is the remainder when y is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 6368893553 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in one fifth of a gram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 12, 2\/9, 0.5, -34, -2.1, -16, -10?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 49*b - 33*b - 6 - 12*b.\nAnswer: 4*b - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*n - 419*n**3 - 4*n + 362*n**3 to o + c*n**3 + r*n + i*n**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = g**2 + 42*g + 165. Let a be b(-38). Calculate the highest common divisor of a and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -3.2 - 12.8. Let n = 17 + c. Suppose 251*l + 2 = 3*g + 256*l, 0 = -3*g + 3*l - 6. Sort 4\/3, g, n in increasing order.\nAnswer: g, n, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -9 - -25. Let w = i - 10. Let a(t) = t**2 - 2*t + 7. Does 9 divide a(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(38)*-2*-5)\/sqrt(2).\nAnswer: 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(2\/5))**23\/(g**(6\/11)*g**(-5)) assuming g is positive.\nAnswer: g**(751\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 169\/(23660\/308) + 248\/10.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*l + 13 = -m, -3*m - 28 = -5*l - 57 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 44880 and 31280.\nAnswer: 1032240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -4*p - 1. Let s(v) = -2*v - 1. Let a(b) = -4*s(b) + u(b). Let l(x) = -2*x**2. What is a(l(d))?\nAnswer: -8*d**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 406548 and 3523416?\nAnswer: 10570248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + -4 + 90\/25.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.3, 85, 0, -156, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.01942376 rounded to 4 decimal places?\nAnswer: 0.0194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*s - 16, 0*b - 2*s - 11 = -b. Suppose j = -b + 1. Let i be (0 - -2) + (j - -2). Solve 0*m = i*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2941 - 109 - 1421 + 971)*(-c + 3*c + 0*c)*(-2*c**2 + 2*c**2 - 2*c**2).\nAnswer: 14000*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*s**2 + 11*s + 7*s**2 - 4*s**2 + 4 + s**2 to the form b*s + c*s**2 + x and give b.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 2115635 (base 7) to base 16\nAnswer: 3ea1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of -3.3 and -84782.\nAnswer: 279780.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7234.\nAnswer: 2, 3617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 7, n: 2, z: 4, h: 5}. Give prob of picking 1 n and 2 z.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) be the second derivative of 5*g**4\/24 + 3*g**2 + 10*g. Let p(k) be the first derivative of i(k). Let m(n) = -n**2. Give m(p(o)).\nAnswer: -25*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {p: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -3*n**3 - 39*n**2 - n - 13. Determine c(-13).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4213, -5454, -6697, -7942?\nAnswer: -9189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-2)\/6)\/(7\/105). Let n(h) = h**3 + 6*h**2 + 7*h + 11. Let o be n(p). Sort o, -1, 3.\nAnswer: -1, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -21 in -1, 0.2, 4, 4\/15, -8.4, -1\/4?\nAnswer: -8.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -814.41 or -0.21?\nAnswer: -814.41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0014523852 rounded to 6 dps?\nAnswer: 0.001452","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1203200 (base 4) to base 11.\nAnswer: 486a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -42  (b) -2  (c) 90  (d) 7  (e) 353\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*z + 198 + 393. Suppose 64 = 3*u - z. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8791075217 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.567 + -0.433. Let p = 0.4 + -2.4. Which is the nearest to m?  (a) -9  (b) 1  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.814413927 rounded to 1 decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -77, 33, 6, -800?\nAnswer: -800","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 104 and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 855187 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.8 in 0.367523, 3, -0.2, -0.1, -2\/13?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 35.82634kg in nanograms?\nAnswer: 35826340000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = 9*b - 23. Find the second derivative of -28*t + 0*t**2 + 13*t - 4*t**b - 2*t**2 wrt t.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -32 - 69 - ((-57 - -20) + 3).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*h**3*q**3 - 102*h**3*q**2 + 3*h**2*q**2 - 4*h*q**3 + 205*q**3 - 1 wrt q?\nAnswer: -12*h**3 - 24*h + 1230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 5*1268\nAnswer: 6340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.2250533 to 3 decimal places.\nAnswer: 1.225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2166 and 28353662?\nAnswer: 722","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 1049576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4.08 + -0.08. Let f = -2995 - -2992.4. What is the nearest to 0 in p, 2\/11, f?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*v + 36 = -9*n, -2*n + 24 = -4*n + 43886*v - 43884*v for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 362?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -11 - -7. Let y = h + 21. Let t = 17.01 - y. Round t to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/(m*(m\/m**(-3))\/m))**(1\/7) assuming m is positive.\nAnswer: m**(-3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 1943660 divided by -1\nAnswer: -1943660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -12872300 rounded to the nearest one hundred thousand?\nAnswer: -12900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 3*(-12)\/9*89\/(-712)*18?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 33*x**2 + 9*x**3 - 234 - x**3 - 12*x**3 - 4*x**3 - 18*x**2 wrt x.\nAnswer: -24*x**2 + 30*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 370872?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -575694, -575692, -575690, -575688?\n\"Answer: 2*p - 575696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 = -5*c + 3*c + 3*u, -c + 7 = -2*u. Suppose -c*j - 9 = -8*j. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 4 and 16620697?\nAnswer: 66482788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00159492811 rounded to four dps?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Work out -701.9 * -1.\nAnswer: 701.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2499 and 48.\nAnswer: 39984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 3 - 2 + (0 - 2 - 1)*(1 + 1 - 4))*(3*u + 0*u - 5*u).\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o\/o**48*o**(-19\/4)*o assuming o is positive.\nAnswer: o**(-203\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 6\/5 of a century?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r - 109*d = -108*d, 3*r + 5*d = -28. Let y = -0.22 - -0.2. Which is the nearest to r?  (a) 1\/6  (b) y  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -5.34 and 1.2?\nAnswer: -6.408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -505679\/420 + 1204. Let f(w) be the third derivative of w**2 - 1\/672*w**8 + 0*w + 0*w**3 + 0 + 1\/240*w**6 + n*w**7 - 1\/120*w**5 + 0*w**4. Factor f(x).\nAnswer: -x**2*(x - 1)**2*(x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 26441801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t = -12, 0*m + 5*t + 8 = m. Let n(c) = -6*c - 6. Calculate the remainder when n(m) is divided by 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 0.0081684 micrograms?\nAnswer: 0.0000000000000081684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -7*d**2 + 5*d - 4. Let r(f) = 3*f**2 - 2*f + 2. Let v(i) = -5*r(i) - 2*s(i). Let y(x) = 1. Let c(w) = w + 1. Let o be c(1). Determine o*y(l) + v(l).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (17 - 2937\/6)*(-1 + 31\/(-5)). What is the greatest common factor of k and 324?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 11100001 (base 2) to base 15\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 52839?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 13.1 or 2?\nAnswer: 13.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 148556 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 81, 307, 663, 1131, 1693?\n\"Answer: -3*n**3 + 83*n**2 - 2*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 divided by -3641650.\nAnswer: 7\/3641650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y + 41 = 3*r, r + 34 = 3*r - 5*y. Suppose r*a - 3282 = -538. List the prime factors of (26 + -27)\/((-2)\/a).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) be the second derivative of p**5\/20 - p**4 - 3*p**2\/2 - p + 82. Give h(12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = u**2 - 12*u + 45. Let j be d(7). Solve -5*m - 40 = v + 2*v, j = v - 3*m for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 28590 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 504 and 7504.\nAnswer: 67536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 605334594.\nAnswer: 2, 3, 100889099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -138 - -193a1?\nAnswer: 19264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence swg when three letters picked without replacement from issrrrswsshgsrrw.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 152*j**3 - 1341 wrt j.\nAnswer: 456*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 847 = 5*m + 2*d, -5*m - 7*d + 839 = -3*d. Solve 16 = -m*y + 179*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.17 - 0.05. Let u = t - -11.22. Let l = 11.0029 - u. Round l to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 9 and 174537162?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -1\/3, 37, 132, 0.4, -3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = 122*k - 5021. Let f be q(65). Is f at least 2911?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10*y - 8*y - 6*y + 3)*(28 - 26*y**3 - 28).\nAnswer: 104*y**4 - 78*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-1078)\/(-21))\/11)\/((-34)\/153)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -1002639*b**3 - 23245347 wrt b?\nAnswer: -3007917*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -6157953*k**2*y - 22*k*y - 24*k - 5*y + 316 wrt k?\nAnswer: -12315906*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (11\/(594\/120))\/(1*(-10)\/(-45)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -27 - -24. Let s(f) = -f**2 - 2*f + 7. Let v be s(g). What is the nearest to 0 in v, 0.05, 2\/5?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from idacqibb. What is prob of picking 1 q, 2 b, and 1 c?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (79*v - 13*v - 104*v**2 + 110*v**2)*(v**3 + 3*v**3 - 2*v**3).\nAnswer: 12*v**5 + 132*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:19 PM and 6:51 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-8)\/((-48)\/9))\/(2\/4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k = o - 3, 0 = -3*k - o - o + 6. Let c(d) be the third derivative of -d**4\/12 + 17*d**3\/2 - d**2. What are the prime factors of c(k)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = y**3 - 5*y**2 + y - 7. Give n(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -102 times 62584?\nAnswer: -6383568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 9) to base 5\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 4\/18 + (-146)\/9. Let k = 69 + -46. What is the remainder when k is divided by (2 - 3)\/(2\/a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16952 is divided by 54.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 8*h*x**3 + 484*h*x - 70249*h with respect to x.\nAnswer: 24*h*x**2 + 484*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 12*v**3 + v**2 + 20*v + 2255. Let z(l) = -2*l**3 - 4*l + 2. What is -d(n) - 5*z(n)?\nAnswer: -2*n**3 - n**2 - 2265","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*l - 2*p - 24 + 5, -l + 5*p + 28 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 4, o: 15}. Give prob of picking 1 o and 3 v.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b\/(b**(-22)\/b))\/b)\/(b\/(b*b\/b**(-17)*b))*(b**(2\/25))**5)**14 assuming b is positive.\nAnswer: b**(2968\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d**(-2\/7)*d)**29\/((d**(-1)*d)\/d)**(3\/46) assuming d is positive.\nAnswer: d**(16029\/322)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) be the first derivative of -r**8\/210 - 5*r**4\/24 + 3*r**3 - 5. Let d(q) be the third derivative of n(q). What is the derivative of d(x) wrt x?\nAnswer: -32*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1670671.\nAnswer: 937, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 29064 rounded to the nearest one thousand?\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 150461 to the nearest integer?\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -10321300 rounded to the nearest 10000?\nAnswer: -10320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 11, 7, 11015, 2 in descending order.\nAnswer: 11015, 11, 7, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2416?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 4216399.66 rounded to the nearest one hundred thousand?\nAnswer: 4200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = 4*g - 5*g. Suppose 5*t + 3*q = -0*q + 29, 3*t = -3*q + 21. Solve -g*r - 23 = 4*f, -r + t*r = -f - 17 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 2*w**2 + 3*w + 2. Let i be b(-2). Let g be ((-10)\/(-8))\/((-1)\/i). Let k = 14 - g. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 67 minutes after 5:15 PM?\nAnswer: 6:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 16 + -29 + (12 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 6782 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(500)*2 + -4 + (sqrt(500) - 3*(sqrt(500) + (2*sqrt(500) - sqrt(500)))))**2 - -2*(-3 + (sqrt(60)\/sqrt(4) + sqrt(15))\/sqrt(3)).\nAnswer: 244*sqrt(5) + 4510","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 455085 and 37935?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4209*o - 16861*o + 1750*o.\nAnswer: -19320*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -2\/249, -15, 5, -0.01, -38\/9?\nAnswer: -2\/249","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -13*r**4 - 4*r + 5*r - 6*r**4 + 2*r**4 wrt r?\nAnswer: -204*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 + 270*r**3 + 10*r - 79*r**2 - 10*r + 79*r**2 as z*r + y*r**2 + m + w*r**3 and give w.\nAnswer: 270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*r = -m - 2*m + 13, -4*r = 8 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 14 + -9. Solve -2*k + 4 = -r*m, -2*m = -5*k + 2*m + 10 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = s**2 + s + 1. Let u be p(-1). Let v be u + 1*(1 - -2). Suppose -5*c = -59 - 121. Calculate the highest common factor of v and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -100 by -8.\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 272 is divided by 38.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*h - 14*h**2 - 19*h**2 + 8*h**2.\nAnswer: -25*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 31338 is divided by 895.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 b and 1 x when three letters picked without replacement from {x: 2, b: 2, v: 4}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -484256749 - -484256802.2999174. Let q = b + -53.3. What is q rounded to 5 decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -n**2 + 22*n + 25. Let w be k(22). Solve 0 = 4*x - 9 + w for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(3025)*1 + sqrt(3025) + (sqrt(275) + 2*sqrt(275))\/sqrt(11))\/(-5*-4*sqrt(180)).\nAnswer: 5*sqrt(5)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 8807464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -144*f. Let q be m(2). Suppose 3*d = 5*i + 1229, -3*d + 4*d + 2*i - 417 = 0. Let x = d - q. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 90 - 7*d**2 + 2*d**2 - 75 to g*d + z + t*d**2 and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -183 not equal to 71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 63068, 252253, 567560, 1008989, 1576540, 2270213?\nAnswer: 3090008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -15 + u**3 + 22*u + 17*u**3 - 40*u + 12*u**2 + 3*u**4.\nAnswer: 3*(u - 1)*(u + 1)**2*(u + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-3)\/(-2))\/((-4662)\/296)*-3. Let p be (-4)\/6*9\/(-6). Which is the third biggest value?  (a) -3\/10  (b) l  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1084?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(833) + 2 + (sqrt(833) - ((0 + sqrt(833) - sqrt(833) - sqrt(833)) + sqrt(833) + -4 - sqrt(833) - sqrt(833))**2))*6*2.\nAnswer: -40152 - 1512*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -v**3 + 3*v + 3. Let i be h(-2). Let l = -1373\/10410 - 1\/694. What is the second smallest value in l, i, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 14286 and 81?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b + 0 = 10. Let o(a) = 2 + 5*a**3 - 2*a**3 - 4 + 5*a**3. Is o(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -665*h**2 + 56*h + 56. Let n(t) = -35*t**2 + 3*t + 3. Let i be (15\/(-10))\/((-72)\/(-16) - 4). Determine i*b(y) + 56*n(y).\nAnswer: 35*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1705 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 5 - 1c3?\nAnswer: -1be","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -a + -9?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 46 and 10718.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-90)\/(-6)*1\/3. Suppose -2*p + o = -174, l*p + 8*o - 465 = 3*o. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t = h + 2*h - 50, 0 = -h - 2*t + 22. Suppose -54 = -2*a + 4*c + h, -4*c = 4*a - 132. List the prime factors of a.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*n - 14 = -42 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = y**2 + 5*y - 5. Determine u(-8).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -108 by 18.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 2, z: 2, t: 3, q: 1, k: 1, y: 3}. Give prob of picking 1 i, 2 t, and 1 z.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Determine r so that -1\/11*r**2 + 0*r**3 + 0*r + 0 + 1\/11*r**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine r so that 5*r**4 - 340*r**3 + 2165*r**2 - 1830*r = 0.\nAnswer: 0, 1, 6, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40*j - 38*j + 60888 = 120*j. What is the hundreds digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -9 - -4. Let r = 5.1 + g. What is the smallest value in r, 0, 1\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*o + 2*o + 0*o)*(-3 + 5 + 0) - 2*o + o - o - 23*o + 9*o - 45*o + 62 + 16*o to g + r*o and give r.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 187115 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*v + 4 - 4)*(-18*v + 7*v - 14*v)*(-2*v**2 - 2*v**2 + 6*v**2 + (-7 + 4 + 1)*(0*v**2 + v**2 + v**2)).\nAnswer: 100*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 9\/3 - (-4 + 1). Suppose -4*d = -3*m - 3 + 12, -u = -2*m + 2*d. Suppose -604 = -3*s - r - 601, -4*s - 2*r + 2 = 0. Solve m*o + s = o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -85\/52 and 40\/9*(-12)\/195?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 21 + -21 - 2 - (-18 - (-3 - -5)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/(-14)*2 + 19620\/(-23653)?\nAnswer: -8\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o = -4*o + 25. Suppose -v - 20 = -x - o*v, -2*x + 2*v = 0. Calculate the least common multiple of x and 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o\/(o*(o*o*(o**(-2\/5)\/o)\/o)\/o*o*o*o))**(-8\/13)*(o**0\/o)\/o**7)\/((o*o\/(o*o*o*o**0))**(-5\/4)*o**(2\/9)\/(o**(-5)\/o)) assuming o is positive.\nAnswer: o**(-33901\/2340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) be the first derivative of y**3\/3 + 2*y**2 + 2*y + 20. Let x be v(-2). Let l be (-5)\/(-2) - (-3)\/4*x. Is l equal to 5\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 17916870 and 23765?\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = a**3 - 2*a + 4. What is the remainder when d(3) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3508457*i**2*u**2 - i*u**2 - 6*i*u + 3*u**2 + 16240 wrt i?\nAnswer: -7016914*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.054 less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3*3*(-4)\/(-54))\/((-115)\/1035)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*h**2 + 7*h**3 + 3*h**2 + 57*h**3 - 9*h**3.\nAnswer: 55*h**3 + h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -5.2 times 1?\nAnswer: -5.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Product of 2.63 and 426.\nAnswer: 1120.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 24082 divided by 2.\nAnswer: 12041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2364 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 96621381?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((1 + 2 - 5)*(1 + 4 - 7) - 3 + 1 - 3)*(9*z + 11 - 11).\nAnswer: -9*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 0 - -206?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 6, o: 5, p: 2, s: 1, g: 2}. What is prob of picking 1 s, 1 o, and 2 p?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1079*h = -1078*h + 3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 34732?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 22\/77*(-99)\/(-110)*(-273)\/117.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -52 + 108*u + 29 + 24.\nAnswer: 108*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 237 minutes after 1:30 AM?\nAnswer: 5:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 8245 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -16 - -11. Let n = -27 - -25.6. Let h = 1.5 + n. Which is the nearest to 2\/7?  (a) h  (b) 0  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -51 - -117. Let g = -317 + 482. Calculate the highest common divisor of n and g.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 680\/3141 + 2\/349. Which is the biggest value?  (a) m  (b) 2  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4)\/3)\/((1624\/7105)\/(54\/(-21)))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 2*k + 4)*(3*k**2 - 5*k**2 - k**2) + (-2*k**2 - 4 + 4)*((3 + 3 - 2)*(-36 + 36 - 4*k) - k + 0*k + 0*k).\nAnswer: 28*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.1 + 0.2. Suppose -10*y - 64 = 6*y. Let t be ((-10)\/140)\/((-2)\/y - 0). Which is the nearest to 1\/4?  (a) n  (b) t  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 4*c**2 - 83*c + 153. What is the units digit of r(25)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-204)\/(-14))\/(-18 - -17). Is t less than -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-2 - 0)\/(4\/(-8)). Let n be 3 + -4 - (1 - k). Suppose 2*l + 112 = -5*b + 608, n*b = 2*l + 204. Calculate the greatest common factor of b and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 3, h: 2, k: 4, x: 8}. Give prob of picking 2 x.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r + 2*r - 2*v = -78, 0 = 5*r - v + 74. Let d = r - -19. Suppose -d*q - 219 = -5*w + 236, 4*q = w - 106. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -30361 + 30429. Solve -5*j + 3*s - d = -89, 0 = -3*s - 6 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 2b + -2?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 8457 - 380587\/45. Find the common denominator of (-650)\/(-351)*2\/6 and w.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*t - 30 = 8*t. Solve 6*a + 21 = t for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4300*d + 1610 = -4370*d for d.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -98.41 - -98. What is k rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(3\/11)\/x*x**(-3\/11))**(1\/25) assuming x is positive.\nAnswer: x**(-1\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 6, w: 4, h: 1, u: 2}. Give prob of picking 1 m, 1 h, and 1 w.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express 268736 + 222*y**2 - 268740 - 4*y + 3*y in the form q + c*y**2 + h*y and give c.\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {q: 2, e: 10, u: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) be the third derivative of t**5\/60 - 193*t**4\/12 + 385*t**3\/6 - 100*t**2 + 2*t + 7. Factor u(z).\nAnswer: (z - 385)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 9, d: 11}. Give prob of picking 2 d and 1 y.\nAnswer: 33\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4579*o - 1707*o - 1551*o + (4 - 2 - 1)*(-2*o + 0*o + o).\nAnswer: 1320*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 times 1180?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 8 = 4. Let x be -2 + (k + 1 - -6). Solve n = -0*r + 5*r + x, -4*n - 10 = -r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -56*v**2 - 61*v**2 + 47*v**3 + 179*v**2 - 62*v**2.\nAnswer: 47*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 287710 to the power of 1\/2, to the nearest integer?\nAnswer: 536","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = 3*q**3 - 3*q**2 - 1. Let z(h) = h**2 + 7*h + 9. Suppose 3*j = -15, w - 2*j + 1 = 5. Let d be z(w). Is f(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hbbhhbhbhhdbbb. Give prob of picking 1 d and 2 h.\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2672258*i**3 + 3*i + 10*i + 2672266*i**3.\nAnswer: 8*i**3 + 13*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of n + 2*n**4 - 4*n + n**4 wrt n?\nAnswer: 36*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 373*-8.41211\nAnswer: -3137.71703","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) be the third derivative of j**7\/2520 - j**6\/240 - j**5\/24 - j**4\/8 + j**3\/2 + 5*j**2 + 11. Let f(w) be the second derivative of r(w). Calculate f(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a microgram in nanograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (sqrt(19) + 0 + -1 - (1*sqrt(228) + sqrt(228))\/sqrt(12)) + 0.\nAnswer: -sqrt(19) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:00 AM and 6:07 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -6, 52 in ascending order.\nAnswer: -6, -4, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2415 - 5375 = -74*m for m.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -18*(-1 - 4\/(-6)). What is the nearest to p in -4, 0, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((m*m\/(m\/m**(-2\/11)))\/(m*m*m**3*m))\/m**12)\/(m**(-16))**(-24) assuming m is positive.\nAnswer: m**(-4413\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Calculate -194 + 229 + (-1 - 15).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 3 + -5 + (-5 - -9). Let n be (-6)\/(-9) + 8\/(-3) + t. Let i(r) = -3*r + r - 4*r + n*r. Let v(o) = o**2. Give i(v(s)).\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 35 - (16 - (-1 + 19 + -3))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -9 + 11. Suppose 38*f + 460 = 40*f. Suppose 0 = d - b - 52 - 10, 0 = -4*d - l*b + f. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -19 at most 56\/1167?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3402 and 1281.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) be the first derivative of -5\/6*g**4 + 20\/3*g - 5\/9*g**3 + 20\/3*g**2 + 30. Factor b(h).\nAnswer: -5*(h - 2)*(h + 2)*(2*h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -44 divided by -44?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9988.\nAnswer: 2, 11, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x = -4*l - 103, 0 = 5*x + 3*l - 2*l - 620. Find the common denominator of -14\/5 and x\/18*(-2 - -4).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14305650 a multiple of 674?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -3*s**3 - 3*s**2 - 621. Let l be x(0). Sort 5, l, 0 in ascending order.\nAnswer: l, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 46*l**3 - l**2 + l + 1. Let j be s(1). Let w = j + -42. Suppose -w*h = -0*h - 345. What are the prime factors of h?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4441, -4470, -4529, -4630, -4785, -5006?\nAnswer: -5305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uuu when three letters picked without replacement from uucu.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (2\/(-8))\/((-9)\/8). Let s = -73.582 + 73.582. Suppose 12 = -g - g. Which is the fourth biggest value?  (a) s  (b) g  (c) x  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -5*w - 3. Let k be -1 + (8 - 2) + w. Suppose -3*o + 69 = 5*c, 4*o = -4*c + 6*o + 64. Solve q + k*q = -c for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (1\/(-3))\/(25\/12 - 2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) be the third derivative of v**6\/120 - v**5\/15 - 5*v**4\/24 - v**3\/2 - 18*v**2. Let r be 3\/12 + (-57)\/(-12). Determine j(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1100000101011000 (base 2) in base 4?\nAnswer: -30011120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 11310 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 2 - 4984?\nAnswer: -4982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -3*a**3 - 34*a**2 - 26*a + 122. Calculate x(-10).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 10\/(-4)*(-88)\/55. Sort m, 5, -5.\nAnswer: -5, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -f**3 - 6*f**2 - 6*f - 7. Let v be q(-5). Let n(a) = -4*a**2 - 3*a - 1. Let z be n(-2). Is 0*v\/2 - z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -8*((-249)\/24)\/83?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -66134*n**4*w - 2*n**3*w**3 + 2*n**2*w**2 - 10*n*w**3 + 57*w**3 + 2*w**2 - 3 wrt n.\nAnswer: -1587216*n*w - 12*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 2, i: 11}. What is prob of sequence ip?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5\/(-5))\/(3\/1)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1329719.4 months in decades?\nAnswer: 11080.995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 29 is divided by 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -2*z - 21. Let u be i(-11). Let s be 0\/1*u\/(-3). Solve -1 + s = -k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -54, -5, -2 in descending order.\nAnswer: 0, -2, -5, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 7 + 6)*(-862*c**3 - 242*c**3 - 450*c**3).\nAnswer: -6216*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -63 - -59. Let n be (-2215)\/(-5) - (2 + 1 + r). Suppose 4*p - n = -2*p. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence eas when three letters picked without replacement from audsezes?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 172 - 1. Is 19 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*j + 3*j = -j. Let x = 3 + -3.5. What is the closest to j in 0.4, -9, x?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*y - 0*y - 2*p - 14, -3*p = y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 2*v + 4. Suppose 5*y + 23 = 4*r, 17 = 5*r + 32. Let u(j) be the third derivative of -j**4\/4 - 13*j**3\/6 - j**2. Calculate y*z(s) - 2*u(s).\nAnswer: -2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide 323584 by 4.\nAnswer: 80896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 2238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.2 + 0.1. Let s = u + -0.01. Let h = -3.89 + s. Put 2, -3, h in ascending order.\nAnswer: h, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = t**3 + 11*t**2 - t - 9. Let k be z(-11). Solve k*l + 4 - 10 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 387744 and 5576928?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.2 take away -1379356685?\nAnswer: 1379356683.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (((-27)\/(-9))\/(-15))\/(-1)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -169705 by 5.\nAnswer: -33941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 4 * 42970\nAnswer: 171880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 11*i**2 - i - 11. What is the units digit of d(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1316*w**2 - 319*w**2 + 8*w**3 - 320*w**2 - 362*w**2 - 315*w**2.\nAnswer: 8*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sum -71 and -2.5477.\nAnswer: -73.5477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12845562?\nAnswer: 2, 3, 43, 49789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t = 5*j + 25, 2*j - 6 = 4*j. What are the prime factors of 105 - ((t - 4)\/1 - -3)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = l**2 - 1. Let w(g) = -25*g**2 + 30. Let q(b) = -30*n(b) - w(b). Let c(f) = -2*f. Determine q(c(v)).\nAnswer: -20*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.7 + -0.2. Let h = -5.9 - m. What is the closest to 0.1 in -3, h, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 35\/49 + (204\/28)\/1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4236 take away -3?\nAnswer: -4233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.62738 rounded to two dps?\nAnswer: 2.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*n = 13*n + 21396. What is the hundreds digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -10 + 5. Let k = -4 + 10. Let n be 6 + ((-6)\/(-2) - k). Sort p, -1, n.\nAnswer: p, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of ((-786)\/100)\/((-28)\/10) - 3 and -73\/432.\nAnswer: 15120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 81 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*q**4 + 1548*q**3 - 23744*q**2.\nAnswer: -4*q**2*(q - 371)*(q - 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 99154764 a multiple of 800?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 171737430*p**3 + 478667236*p**2?\nAnswer: 1030424580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 5353.403ml?\nAnswer: 5.353403","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 24696672 divided by -90464.\nAnswer: -273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) be the first derivative of 3*c**4\/4 + c - 1. Find the first derivative of k(n) wrt n.\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -51*u**2 - 22*u**2 - 2*u**2 + 3 + 6*u.\nAnswer: -75*u**2 + 6*u + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 6*((-8)\/(-6) - 0). Let k = 5 + w. Suppose 10 = 2*o, -2*m + 0 = -4*o + 10. Calculate the remainder when k is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 3*s + 25. Let w be b(-8). Put 5, -2, w, -3 in increasing order.\nAnswer: -3, -2, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 16717 and 6789?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (2461371\/(-1))\/(-5 - -4). Let h = d - 1471371. What is h rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -7 - -8. Let w be f - (1 + -3 + -92706). Suppose 4*c - w = 151291. Round c to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -122 + 208. Suppose -5*d + a = -i, d + 4*a - 6*a = 10. Let b be 4 + 7 - (1 - 5)\/(-2). Calculate the greatest common factor of b and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh smallest value in 0.3, 2\/3, 2\/16957, 6\/5, -5\/8, 1\/7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 886*k = -26*k - 20976 for k.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13*(-2 - 3\/(-1)) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) be the third derivative of 0*o + 0*o**4 - 1\/20*o**5 + 0*o**3 + 0 - 4*o**2 + 0*o**6 - 1\/42*o**7. Find the third derivative of v(y) wrt y.\nAnswer: -120*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -293 - -292.6. Let t = 4 + -3.7. Let z = t + y. What is the nearest to z in 3\/5, -0.3, 0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + 0 + -5 + sqrt(396) + -1 + (1 + sqrt(1331) - sqrt(11)))**2.\nAnswer: -64*sqrt(11) + 2820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1961467 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 389010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a + 8 = -2*o + 3*a, 0 = -3*a + 12. Suppose 3*d - 6 + 0 = o. Solve 0 = -7*r + d*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1618079 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {w: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 57\/3*68\/((-156332)\/(-13915))?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -20 in 4\/7, 5, -125?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -73427, -73418, -73395, -73352, -73283, -73182, -73043?\nAnswer: -72860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = 6*z**3 - 3*z**2 - 26*z + 61. Determine x(2).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = x**2. Let i(k) = 27*k - 14. Let a(d) = 3*d - 4. Let q(y) = -6*a(y) + i(y). Give u(q(s)).\nAnswer: 81*s**2 + 180*s + 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (sqrt(504)\/sqrt(192))\/(sqrt(54)*1).\nAnswer: -1 + sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(-1\/5))**(-24))**(-17\/6) assuming f is positive.\nAnswer: f**(-68\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -q**2 - 107*q - 1177. Determine j(-12).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 544.6705 nanometers in millimeters?\nAnswer: 0.0005446705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -55, -40, 9, 110, 281, 540?\nAnswer: 905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 - r**3 - 2)*(4 + 3*r - 4) + (-3 + r + 3)*(24*r**3 - 13*r**3 - 3*r**3) in the form o*r**3 + a + s*r + n*r**4 + m*r**2 and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 64 and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 6, r: 1, u: 3, k: 1, i: 1}. What is prob of sequence ui?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 499, -3, 2, -22 in decreasing order.\nAnswer: 499, 2, -3, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 16.0744 from -1187.7.\nAnswer: -1203.7744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -11021454 (base 8) in base 4?\nAnswer: -21002030230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 2 s when three letters picked without replacement from {u: 7, s: 4}?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*j**4 - 8*j**3 - 86*j**2 - 112*j - 40 = 0. What is j?\nAnswer: -2, -1, -2\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 667?\nAnswer: 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7)\/((-224)\/120)*(-8)\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 2, x: 4, s: 3, z: 6, j: 3}. Give prob of picking 2 z.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) be the first derivative of -26*f**3\/3 + 34*f**2 + 5178*f - 1567. Find the first derivative of h(n) wrt n.\nAnswer: -52*n + 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -110 or -113?\nAnswer: -113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1407732 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 33*s**2 + 6*s - 42. Let p(x) = -99*x**2 - 21*x + 126. Calculate -7*c(v) - 2*p(v).\nAnswer: -33*v**2 + 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9888742?\nAnswer: 2, 4944371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ygmgmmyyy. What is prob of sequence yy?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 115542*w - 115542*w + 10*w**2 + 6 + (-2*w**2 + 2*w**2 + w**2)*(-1 - 1 + 3) to the form y*w**2 + b*w + x and give x.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 5*g**2 + 105*g + 5. What is i(-20)?\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor j**2\/7 - 1993228*j\/7 + 1993227\/7.\nAnswer: (j - 1993227)*(j - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + -2*(-3*sqrt(30)\/(sqrt(6)*-2) + sqrt(45)\/(sqrt(1089)*1)))**2.\nAnswer: -210*sqrt(5)\/11 + 7214\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/1 - (-131 + 126)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 86935 = 5*p - 5*d, 5*p - 34*d + 36*d - 86914 = 0. What is the thousands digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -110100010 + 11?\nAnswer: -110011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 13 (base 6) to base 15\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -9328, -9336, -9346, -9358, -9372, -9388, -9406?\nAnswer: -9426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 678 is divided by 11 - (-1)\/(5\/45)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3*-4*6\/72\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor c**2\/4 + 2887*c - 36366725\/4.\nAnswer: (c - 2575)*(c + 14123)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 55991?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -z**3 - 26*z**2 - 49*z - 27. Let p be u(-24). Let y(k) = -2 + 0*k + k + 0*k**2 + k**2. Let a be y(p). Solve -10 = 5*c - 3*x, -a*x = -9*x - 25 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = 4*v - 6. Suppose -2 = -c + 5*x, -8*c + x = -3*c - 34. Suppose -g + 0 = c. Let o(a) = -3*a + 4. Calculate g*o(i) - 5*j(i).\nAnswer: i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 7633 - 8014651\/1050. Is r bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(17) - (4 + sqrt(17) + 0))**2*-3.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15 - (5 - -1) - -20 - (-2 + -2 - 4).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -137 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3897*p = 6176*p - 3357*p - 120888 for p.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 4 - -1242?\nAnswer: 1301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 22*m - 4. Let i be 1672\/(-266) - (-4)\/14. Let k(f) = 4*f - 1. Let c(d) = i*k(d) + j(d). Calculate c(9).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(1\/27)\/(w\/(w**(-30)*w)))\/(w\/w**7)**6)**19 assuming w is positive.\nAnswer: w**(3097\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 341477?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*v + 0*k = -5*k - 6, 4 = 3*v + k for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**2\/l*l)\/(((l*l*l**(-2)*l*l)\/l)\/l))\/(l*l**(1\/5)*l**(2\/21)*l)*((l**(2\/11)\/l)\/(l*(l\/l**(-1\/3))\/l))**42 assuming l is positive.\nAnswer: l**(-104711\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (216\/(-306))\/((-140)\/(-8330)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(78) + -5*3*sqrt(78))\/(sqrt(6)*2*-5)*4 + 4.\nAnswer: 4 + 28*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + -1 + sqrt(2299) + sqrt(2299) + -1 + -5.\nAnswer: -6 + 22*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -96*u + 9. Let f(i) = 2*i. What is a(f(z))?\nAnswer: -192*z + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 198 = -2*n - 264, 4*k - 1149 = 5*n. Let p = n - -493\/2. Let i = 2915\/1488 + -2\/93. Calculate the common denominator of p and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -201 - 121002?\nAnswer: -121210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -25\/144 and -31\/408.\nAnswer: 2448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 534 divided by -20.\nAnswer: -267\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 12*f - 27*f + 7*f + 12*f to p + n*f and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*b - 6*b + 32 = 0 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 3 + -2.9. Which is bigger: -0.07 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -8401 - -23969. Is 4 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -159267, -307574, -455879, -604182, -752483, -900782, -1049079?\nAnswer: -1197374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 13.8286, 3, -3, 3\/2, -5 in increasing order.\nAnswer: -5, -3, 3\/2, 3, 13.8286","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 29 = 2*v, -3*v + 0*v - p = -41. Let s be (v\/(-40))\/(6\/8). Let q = -4.5 + 5. What is the third biggest value in q, s, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 905, -3, 36, 9 in decreasing order.\nAnswer: 905, 36, 9, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*l**3\/13 + 264742*l**2\/13 + 673997488*l + 61320799736\/13.\nAnswer: 2*(l + 7)*(l + 66182)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -4.87758 times -19.2\nAnswer: 93.649536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*l**2 - 12*l**2 - 10*l**2)*(-5 + 3 - 11).\nAnswer: 312*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -14\/8437 + 65291\/34262657. Is -1 smaller than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8108.301037 rounded to the nearest 100?\nAnswer: 8100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -9144*r*v**2 + 303807*r + v**3 + 2*v**2 + 16*v + 3 wrt v?\nAnswer: -18288*r*v + 3*v**2 + 4*v + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 31641461?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1000308.\nAnswer: 2, 3, 31, 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 7 and 19178663?\nAnswer: 19178663","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor z**3 + 201350*z**2 + 10076608732*z - 5932985496792.\nAnswer: (z - 582)*(z + 100966)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -20 + 0 + (-77 - -90)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -7651\/988 + -3\/494. What is the common denominator of v and 85\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2322264 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3368 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/6 in -2\/19, -2, 6\/5, 4, -50\/11?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10 of a microsecond in nanoseconds?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 640440?\nAnswer: 2, 3, 5, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33 = -3*x - o - 2*o, -o + 3 = 0. Let v = 17 - 7. Let a = v + x. Does 18 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine g so that 5*g**4 - 260*g**3 + 3225*g**2 - 12870*g + 16200 = 0.\nAnswer: 3, 10, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -155*d + 31 + 308*d - 155*d. Suppose -125*s = -140*s + 195. Give z(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 748039 rounded to the nearest 10000?\nAnswer: 750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 864 (base 9) in base 15?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 5 + -8. Which is the nearest to -1\/2?  (a) 1  (b) u  (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 548992 and 128.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c = 2 - 8. Let m = c - 7. Let x(b) = -b - 4. Let u be x(m). Let a(i) = -i**3 + i**2 - 6. What is a(u)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 4412.9844458 - 4413. Round q to 3 decimal places.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 125094 is divided by 17863?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 488 + -471. Solve 3*g + y = 11 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*y + 14 = -7. Put y, 5, 12 in decreasing order.\nAnswer: 12, 5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 3, p: 4, n: 4}. Give prob of picking 2 p and 2 n.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.422 + 0.042. Let p = i + 0.88. Which is the nearest to 1\/8?  (a) p  (b) -1  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4585, -4579, -4569, -4555, -4537?\nAnswer: -4515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 2, w: 1, m: 1, v: 1, n: 1, p: 1}. What is prob of picking 1 m and 1 f?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -304368 divided by 8952\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 2*c + 0*c - 10*c. Let v(s) = -4 - 3 - 2*s + 7. What is a(v(f))?\nAnswer: 16*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = i**3 - 9*i**2 + 4*i + 7. Let y be w(8). Let s = y + 30. Suppose -2*p - 4 = 0, -3*l = -0*l + 2*p - 11. Solve 4*k + l = s*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 59 = 5*d + x, 2*d - 5*d + 41 = 2*x. Let u = -6 + d. What is the nearest to -1\/3 in 0.4, 4, u?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*z = 6*z. Let f(s) = s**2 - s + 41. What is the remainder when f(z) is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 481\/5 - 10487\/110. Let u(s) = 989*s - 2. Let g be u(-2). Let t = -31613\/16 - g. What is the common denominator of q and t?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -79\/18 and -52\/111?\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 293?  (a) -2  (b) -4\/5  (c) 0.0036\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/(k**(3\/4)\/k))\/(k*k**(-4\/3)))**34*k*k*(k**(-1)\/k)\/k*k*k**(-4)*(k**(1\/4)*k)\/(k\/k**(-2\/11)) assuming k is positive.\nAnswer: k**(6587\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 11\/8 of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -15 - -3?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = d - 0*d + 12. Let o = -17 - d. Let t(m) = m**2 + 4*m. Let a be t(-3). Put 5, a, o in increasing order.\nAnswer: o, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 121 + -169. Let n = j - -53. Solve -3*q + w + 3 = -4*w, -3*w = -5*q + n for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 881175081?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1001*w + 339*w - 281*w + (-6 + 1 + 4)*(2*w + 0*w + 0*w) - 3*w + 3*w + 3*w.\nAnswer: 1060*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -223 + 224. Let k be -2 - -7 - (y - -7). Suppose -2*w + 15 = 3*w. Put 1, w, k in decreasing order.\nAnswer: w, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9405 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 4.4 - -0.6. Let x = -35\/54 + -1\/54. Which is the closest to x?  (a) -5  (b) r  (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(153)*-1 - (1*sqrt(68))**2.\nAnswer: -68 - 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*f - 2*b = 7*f + 2*b, -37*f + b = -2*f + 101*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = 664*y**2 - 9*y + 51. Let q be 18 + -5 + -3 - 6. Is k(q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 162 is divided by 157.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is -153553*(-12 + 7\/(49\/77)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*z + 17 = -2*r, 0 = -r - 3*z - 1652 + 1641 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -g**2 - 4*g + 15. Let m be n(-6). Let f be 5 - 0\/(2 + (m - 3)). Suppose -o - 41 = -f*o + 5*z, -3*z - 61 = -5*o. What are the prime factors of o?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-56)\/(-3) + 2\/(-3). Suppose -l = -5*q + 12. What is the remainder when q is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*j - 283 = 605. Suppose -12*u + j + 476 = 0. List the prime factors of u.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -2*x**2 + 67*x + 37. Let y be n(34). What is the third derivative of -1 + 19*v**4 - 3*v**3 - 31*v**2 - 5*v**y - 18*v**4 + 1 wrt v?\nAnswer: 24*v - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10788 (base 12) to base 15\nAnswer: -6718","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -11 - -16. Suppose i*f - f - 28 = 0. Suppose -n + 1 = -0*n, -f = -4*h + n. Solve 0 = 2*s - 3*z - 4, s - h*s + 4*z + 2 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13077903 to the power of 1\/2, to the nearest integer?\nAnswer: 3616","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -36519, -73039, -109561, -146085, -182611?\n\"Answer: -u**2 - 36517*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 34387 to the power of 1\/2, to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -7*w**2 + 0 + w**3 - 2 - 3*w + 11*w. Let f(z) = z**2 - 7*z - 2. Let n be f(8). What is the lowest common multiple of o(n) and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12106 = -7997*x + 11885 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1 + 2502\/14 + (-20)\/(-70). Let v be o\/168*(0 - (-2)\/(-3)). Which is smaller: v or 2\/7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (69*s - 69*s - 128*s**2)*(47 - 12 - 2) in the form g + y*s + l*s**2 and give l.\nAnswer: -4224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*u = 35*y - 2*u - 579, 129*y - 128*y - 5*u + 3 = 0 for y.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3022327826?\nAnswer: 2, 7, 31, 6963889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:20 AM and 2:23 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 99.00278 + -99. What is l rounded to four decimal places?\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 106 = -48*p - 58*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11657*m = -11645*m - 9144. Is m a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5817?\nAnswer: 3, 7, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of a*b - 2*a*m**3 - 57*b*m**2 - 1787*b - 50*m**3 wrt m?\nAnswer: -6*a*m**2 - 114*b*m - 150*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve z**5 - 19*z**4 + 64*z**3 - 60*z**2 = 0 for z.\nAnswer: 0, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -4*s**3*z**2 - s**3 - 275*s**2*z**3 - 58*s wrt z.\nAnswer: -8*s**3*z - 825*s**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -917*f**6 - 53*f**2?\nAnswer: -110040*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3824 - 3802.936. Let g = m - 21. Let b = g + -0.06399959. Round b to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 2) to base 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 2*y**2 + 279*y + 5447. Calculate s(-19).\nAnswer: 868","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fb when two letters picked without replacement from fffffbfbfbffff?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + (sqrt(432) + -1 + 4 - sqrt(432)) - (-4*((sqrt(432) - (sqrt(432) + 0)) + 0))**2)*-4*-4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Determine s, given that 2*s**3\/9 + 40*s**2\/3 + 198*s = 0.\nAnswer: -33, -27, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) be the third derivative of 0 - 3\/8*n**4 + 0*n + 2*n**2 - 1\/6*n**3. List the prime factors of v(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -q**2. Let p(f) be the third derivative of -23\/20*f**5 + 11*f**2 + 0*f + 0 + 0*f**3 + 0*f**4. What is p(m(a))?\nAnswer: -69*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-8)\/10)\/(7 + (-4179)\/595). What is the highest common factor of 306 and i?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) be the third derivative of -2*v**7\/315 - 7*v**5\/20 + 4*v**4\/3 + 2*v**2 + 8. Let u(w) be the second derivative of m(w). Differentiate u(p) wrt p.\nAnswer: -32*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40*h = 45 - 165. Let b = 0.1 - 0.5. What is the nearest to -1\/2 in h, 5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2 plus -24.6?\nAnswer: -24.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -3, -2, 2\/79, -6?\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 2b27 - -12733?\nAnswer: 1545a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/2*(-1836)\/(-405)*80\/32?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1.6407202 - 1.641. What is u rounded to four decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = 4*h**2 + 3*h - 5. Let q be z(-8). Let g = q + -183. Calculate the remainder when 305 is divided by g.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = x**2 - 6*x. Let i be l(10). Suppose -5*g + 8 = -s, 0 = 3*s + 3*g + 8 - 2. Let m be 16\/(-24) - 11\/s. Solve 2*n + m*t = t, -4*t - i = -4*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -242 - -242.1. Which is bigger: -1.043 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 1, 104, 3 in decreasing order.\nAnswer: 104, 3, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 + -8 + (15 - (-8 + 25))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*n - 7*n**2 - 7*n**2 + 4 + 10*n**2 + 0*n**2 to the form y*n + b*n**2 + k and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 133\/132372 and -44\/33093?\nAnswer: 132372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6829, -13655, -20479, -27295, -34097?\nAnswer: -40879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*p - 4*p + 567. Let o(d) = 3*d**2 + 7*d + 2. Let g be o(-8). Let r be (g\/(-5))\/(-3) - (-3)\/(-15). What is the greatest common factor of r and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(-1\/3)*i)**0)**(-43) assuming i is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 11293376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out 9 - 36039319000.833.\nAnswer: -36039318991.833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Total of 1534.832507 and 98.59.\nAnswer: 1633.422507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.05 and -585.4?\nAnswer: 29.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 3  (b) -0.2  (c) 37  (d) 13  (e) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23 = -v + 3*l, -89 + 97 = -l. Sort 5, -4, v, 16, 4 in decreasing order.\nAnswer: 16, 5, 4, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.0484 + -0.0516. Which is the closest to h?  (a) -1  (b) -1\/9  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 89.66 + -51.3. Let x = -38.35997177 + d. Round x to 6 dps.\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 845 + -3?\nAnswer: 842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -98*d - 1. Let n be l(-1). Suppose 0 = -4*c + n + 15. Calculate the remainder when c is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18898071 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: Which is the closest to 59?  (a) -1991  (b) -2\/11  (c) -2\/19  (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -721140 (base 11) to base 9.\nAnswer: -2154586","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-25 + 0 - 87)*(1 - 1 - 2*y) + 9*y - 9*y + 9*y.\nAnswer: 233*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = s - 1. Let g(y) = 4*y - 3. Let h(b) = 3*a(b) - g(b). Let j(f) = 4. Let m(q) = -q**2 + 1. Let z(w) = -j(w) + 4*m(w). Determine z(h(i)).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -46, 5, 56, 107?\n\"Answer: 51*h - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 121.65 + -0.85. Let j = p - 120. Suppose 0 = g + r + 5, -7*g + 3*g + r - 5 = 0. Which is the fourth smallest value?  (a) -3\/4  (b) 3\/4  (c) j  (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -886119400 rounded to the nearest one million?\nAnswer: -886000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (70\/(-56))\/(180\/32) - (-430)\/(-9).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1467801 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor d**2\/7 - 463830*d\/7 + 198783.\nAnswer: (d - 463827)*(d - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12486?\nAnswer: 2, 3, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 0 + 3)*(3*r + 1 - 1) + 13 - 22 + 4*r + 5.\nAnswer: 10*r - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1749*c = -3350*c + 1690*c - 712 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -9*a**3 + 29*a**2 + 11*a + 7. Let i(w) = 5*w**3 - 16*w**2 - 5*w - 4. Determine -4*c(d) - 7*i(d).\nAnswer: d**3 - 4*d**2 - 9*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.7 + 2.3. Let l = g + -2.9. Let x = 6.3 - 6. What is the nearest to -2\/5 in x, l, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -189158803989 minus -570.3?\nAnswer: -189158803418.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 51\/13 and -113\/130.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 126 divide 6534855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 42841 - 14279 - 14280 - 4*m**2 - 14282 - m**2.\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 9 - 9. Let i be 1\/(-1)*(-3 - -1). Suppose 0 = -i*b + 2 - 0. Are b and w nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 74.92 rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 244039 - 247003 = 76*h for h.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 208*i**2 + 14*i + 50. List the prime factors of o(-4).\nAnswer: 2, 11, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (4696*z - 30534*z + 4141*z + 11762*z)*(0 + 2 - 1) as b*z + k and give b.\nAnswer: -9935","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2100 + 2094.315. Let j = -0.015 + s. Let b = j + 6. Put b, -5, -1 in descending order.\nAnswer: b, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = x + 6. Let c(v) = 17*v + 146. Let i be c(-8). What is k(i)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 (base 9) in base 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 94*b + 454*b = -225*b + 127*b + 27778 for b.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -160 - -163. Is 61 a factor of 42820\/60*(j + 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 64*o**2. Let t(f) = -2*f - 3. Let w(g) = -10*g - 14. Let x(i) = 14*t(i) - 3*w(i). Give v(x(s)).\nAnswer: 256*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -16*w**3 - 9*w**2 - 15*w - 99. Is y(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -98 (base 12) to base 3.\nAnswer: -11022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o - 155*i + 156*i - 12716 = 0, 4*o - 6*i = 12744. List the prime factors of o.\nAnswer: 2, 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*g + 811 = 850 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -84594 = -102*i + 233952. What are the prime factors of i?\nAnswer: 3, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 27636, 55272, 82938, 110634?\n\"Answer: 15*j**2 + 27591*j + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -3 - 5040134?\nAnswer: -5040141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -32*k + 22. Let w = -58 + 29. List the prime factors of a(w).\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 - (0 + -9 + 5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 71.5492ml to litres.\nAnswer: 0.0715492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y + 1 + 5 = 0. Suppose y*c - c - 20 = 0. Suppose 4*k - 1172 = 3*d, d - 1172 = -0*k - c*k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a = -0*a + 60. Let b be (8\/(a\/3))\/27. Which is bigger: b or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4\/(-15)*(-825)\/(-6490)\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k - 5*g + 10 = 0, -g + 11 = -2*k - 4. Let b(x) = -6*x + 4. Let n(r) = 5*r - 3. Let v(h) = k*n(h) - 4*b(h). What are the prime factors of v(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 405419749.\nAnswer: 7, 151, 383557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) be the second derivative of 2*p - 15\/4*p**4 + 0*p**6 + 0*p**3 - 4\/7*p**7 + 0*p**5 + 0 + 0*p**2. Find the third derivative of y(v) wrt v.\nAnswer: -1440*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1180 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5 - -1) + -1 + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8580 is divided by 226?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 38620 in 29, 6\/7, -5?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*w**3 - 14*w**2 + 20*w**2 - 6*w**2.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*q**2 - 2*q**2 + q**2 + (q - 2*q - q)*(2*q + 4*q - 3*q) + (2 + 2*q - 2)*(q - 3 + 3).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 4426089833 a multiple of 4715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 2 + 0)*(0 - 5 + 4)*(-19*i + 490 - 490)*(0 + 0 - 2)*(-i**4 + i**4 - 11*i**4).\nAnswer: 418*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1\/6, -0.04, -10\/7, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*n + 6 = 0, -1412*n = t - 1413*n + 2 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 23556 and 219252?\nAnswer: 2850276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {m: 3, l: 17}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11989*q + 485047 = -138381 for q.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 104614 and 523070.\nAnswer: 523070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 5072 and 160.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*t**3 + 1 - 1)*(-3*t**2 + 6*t**2 - 2*t**2) + 2 - 2 - t**5 - t**5 + 12*t**5 + 158*t**2 - 157*t**2.\nAnswer: 12*t**5 + t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 19\/4 of a kilometer in meters?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 260.57 + -2.57. Let p = 257.657 - m. Let q = p - -0.043. Which is the nearest to -0.3?  (a) q  (b) 0.3  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -30 divided by 14.\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 396 = 55*m + 44*m. Let d = 1 - 0. What is the highest common divisor of m and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l - 13 = -5*l + b, 4*l = -b + 14. Calculate the lowest common multiple of l and 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in fifty-two fifths of a kilogram?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -10011110 (base 2) in base 7?\nAnswer: -314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-182)\/(-65))\/((-9)\/((-45)\/2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -30955 divided by 14\nAnswer: -30955\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from pprppvrpprrprrrrrppr. Give prob of sequence prp.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 2*s = l - 14, -l = 3*s + 16. Let k be (-11)\/(1\/12*-6). Which is greater: k or l?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 475 a factor of 177378900?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - 4*m = -m - 11, -11 = -4*c + m. Suppose 4 = 3*n - 23. What is the remainder when n is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -6 - (5 + -3) - -15. Let z(b) = -b**3 + 8*b**2 - b - 45. Let c be z(a). Let l(i) = 3 - 4*i**2 + 4*i - 1 - 6*i - i**3. Determine l(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 466 - 459. Solve -z*x = -373 + 345 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = -6*g + 11*g. Let o(u) = -6*u. Let l be o(g). Suppose 2*q - l = -0*q. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f, 1 m, and 1 n when three letters picked without replacement from irmrnnrrfnkkrrk.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 5, 0.1, -0.2456, -235, 110?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 230591 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 30 and 880443.\nAnswer: 8804430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 260424 + -1?\nAnswer: 260423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((h*h**(-1))\/h)**(-2\/7))**49)**42 assuming h is positive.\nAnswer: h**588","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 16 - -4. Let l = o + -17. Solve -2*m - 1 + 10 = 5*b, -b = 2*m + l for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(150)\/(sqrt(18)\/sqrt(3)) - (sqrt(25) - (sqrt(225) - sqrt(25)))*3)\/((3*sqrt(10))\/sqrt(2)*3).\nAnswer: 4*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 113, -1, 5 in descending order.\nAnswer: 113, 5, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1173 - 2507 = -23*b. What is the greatest common factor of 256 and b?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -43 - -75. Suppose 147 = -5*f + r. Let q = f - -34. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 1, i: 4, o: 6, n: 3}. What is prob of picking 1 i and 1 g?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (-13728)\/(-286)*8\/21696\nAnswer: 2\/113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -a. Let w(p) = -2008*p**2 + 24096*p - 18072. Let y(g) = -4*g + 3. Let o(x) = w(x) + 6024*y(x). Calculate k(o(z)).\nAnswer: 2008*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c**2 + 24*c - 22 = 0 for c.\nAnswer: 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2490 by 19758.\nAnswer: -415\/3293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (5\/(-10))\/(5\/((-80)\/1)). Let f(p) = p**3 - 8*p**2 - 2*p + 10. Calculate f(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 79433 and -0.5.\nAnswer: -39716.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 36040, 288953, 975428, 2312245, 4516184, 7804025, 12392548?\n\"Answer: 36130*c**3 + c**2 - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -4*n**3 + 7*n**2 + 4*n - 3. Let a be z(2). Let k(j) = -33*j + 33. Let w(d) = d + 1. Let m(v) = a*k(v) - 33*w(v). Let h(x) = 2*x. Determine m(h(p)).\nAnswer: -132*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 15\/1424 and -7\/16?\nAnswer: 1424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2252*v - 1166*v = 6569*v + 6556*v + 1852816 for v.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -4 and 6.146?\nAnswer: -24.584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 3, v: 6, g: 5, d: 5, n: 1}. Give prob of picking 1 v and 1 d.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -112012201 + 2012212220?\nAnswer: 1200200012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -6.96 - -8.1. Let h = 0.935 - r. What is h rounded to two decimal places?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2.1 + -4.5. Let r = -7.4 - o. Let j = -0.3 + -0.7. Which is the closest to j?  (a) -1\/6  (b) 0  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -n**4 - 4*n**3 - 3*n**2 - 10*n + 2. Let l(s) = s**4 + 3*s**3 + 2*s**2 + 9*s - 1. Let w(a) = -6*l(a) - 5*x(a). Factor w(c).\nAnswer: -(c - 2)**2*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1\/(-5) - (-19552)\/10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 559497, 2237959, 5035395, 8951805, 13987189?\nAnswer: 20141547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = 2*k - 3. Suppose -6*j = -25 - 5. Let v(h) be the first derivative of 2*h**2 - 6*h - 9. Give j*t(u) - 2*v(u).\nAnswer: 2*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = c**3 - 4. Let v be t(0). What is the smallest common multiple of 11 and 1*v\/(-16)*4?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r - r = 16. Let q = -6.1 - -1.1. Let w = -6 - q. Which is the second smallest value?  (a) w  (b) 0.5  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pv when two letters picked without replacement from {v: 10, p: 10}.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) be the first derivative of 23*q**3\/3 - 172. Let s(d) = -2*d**2. What is s(j(l))?\nAnswer: -1058*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (-14)\/(6 + -4) + (-804)\/(-54) + -9?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/11 in -1, 7, -5, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = u**3 + 2*u**2 - u + 3. Let m be s(-3). Let i be ((-3)\/m + -2)*0. Factor 0*n**2 + 2\/5*n**5 - 4\/5*n**3 + i*n**4 + 2\/5*n + 0.\nAnswer: 2*n*(n - 1)**2*(n + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 934752?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 30\/7  (b) 0  (c) 2\/23  (d) -0.4  (e) 1  (f) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(18) + sqrt(18) + sqrt(36)\/sqrt(2) - sqrt(18))*-4)\/sqrt(6).\nAnswer: -8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l + s = -5*l + 29, 3*l = 2*s + 7. Suppose -l*f - 5*d = -10, -5*f - d - d + 13 = 0. Suppose 2*i - f*i + 3*o = -80, i = 4*o + 83. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 165.033 and -4?\nAnswer: -660.132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.605871nm in micrometers?\nAnswer: 0.000605871","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 + 0 + 3)*(3*c + 7*c + 37*c)*(c**2 - c**2 + c**3) - 58*c**4 - 5*c**2 + 66*c**4 - c**2 to the form g*c**3 + n*c**2 + o + k*c**4 + z*c and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1357482898 to the nearest integer?\nAnswer: 36844","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 22092 and 119?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v + 2*v = 15, a - 2*v = 0. Let t be 33\/a + 2\/(-4). Suppose 4*z = t*u + 168, 4*u - 60 = 4*z - 228. Is z a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:47 PM and 12:57 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.6, 1\/4, 3.9, -15, -5 in ascending order.\nAnswer: -15, -5, -0.6, 1\/4, 3.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.11 + 4.11. Let a = -2239.1 + 2239.3. Let k = -16 + 10. What is the nearest to k in y, a, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -849*0.005.\nAnswer: -4.245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 886*c**6 + 2*c**3 - 3*c**2 + 575?\nAnswer: 106320*c**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 4260 and -1?\nAnswer: 4261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 2, j: 8}. Give prob of picking 4 j.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 542513617 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: Let j = 314 - 317. What is the third biggest value in 1\/3, 0.4, j, 5\/2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 38115?\nAnswer: 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14267715 is divided by 2738?\nAnswer: 2735","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 24524 + -3?\nAnswer: 24521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -543 divided by -543?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = q**3 - 45*q**2 + 46*q - 2. Let p be v(44). Suppose 76*r - p*r = 40. What is the second smallest value in 0, -0.5, r?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 96 - 324 = -19*b + 76*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1206 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -18 + 21. Which is the closest to 0.05?  (a) 2  (b) -1\/10  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 7*d**3 - 39*d**3 - 2*d - 502824*d**2 + 3*d**4 - 3 + 502824*d**2 as o + z*d**3 + m*d + i*d**4 + k*d**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 49\/4 of a millennium?\nAnswer: 1225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -205 + 63 + 0*z**3 + 71 - z**3 + 82.\nAnswer: -z**3 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -39983 - -39982. Let a(y) = y**2 - 5*y - 2. Let w(z) = -z**3 - z**2 + z. Determine r*a(f) - 2*w(f).\nAnswer: 2*f**3 + f**2 + 3*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -173 + 100. Let l = 73 + h. Let j = 0.3 - -0.2. Which is the third biggest value?  (a) 3\/4  (b) j  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -16853, -33715, -50603, -67523, -84481?\n\"Answer: -b**3 - 7*b**2 - 16834*b - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3.9 - 0.1. Let f = 1.06 + -0.06. What is the smallest value in p, 3\/2, f?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -5 in -57, -0.25, 0.3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 335618 is divided by 99?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3478 - 43*c**4 + c + 3478)*(0*c - 7*c + 0*c).\nAnswer: 301*c**5 - 7*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -208*a**2 - 8 - 21*a**3 + 49*a**3 + 8 + 110*a**3.\nAnswer: 138*a**3 - 208*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 3 = 5. Find the third derivative of -5*c**2 + 11*c**2 + 6*c**5 - t*c + 2*c wrt c.\nAnswer: 360*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 66\/17*k**2 + 20\/17*k**3 + 80\/17*k + 32\/17 + 2\/17*k**4 = 0 for k.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 58 - 214 = 0. Suppose 6*o - 8*o = -s. What is the greatest common divisor of 17 and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*v + 7 = -5*u, 150*v - 163 = -4*u + 97*v for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(-4\/3)*q)\/q)\/(q*q**(-14)\/q)*q**17\/(q**16\/q) assuming q is positive.\nAnswer: q**(44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 9, 25, 67, 147, 277, 469, 735?\nAnswer: 1087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f**3\/17 - 45800*f**2\/17 - 45806*f\/17 + 91604\/17 = 0. Calculate f.\nAnswer: -2, 1, 22901","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2 + (-1 + 0)\/(-1)*3. Suppose -5*q + 4*s = s - 62, y*s - 10 = -3*q. Solve q = -3*b - 5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -8?  (a) -4\/5  (b) 0.4  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 13.112 + -0.112. Let j = -11 + -3. Let a = o + j. Which is smaller: -0.1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + 0*(4 - 10\/2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*d**2*u**5 - 5*d**2*u + 5569*d*u**4 + 8509*u wrt u.\nAnswer: -60*d**2*u**3 + 66828*d*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.14406769 to three dps.\nAnswer: 0.144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -82*l + 68. Let g be u(6). Let h = g + 600. Calculate the remainder when h is divided by 60.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 854647319 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -28515 plus 295622979?\nAnswer: 295594464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 2 v when three letters picked without replacement from {b: 1, r: 1, p: 1, k: 1, v: 2, g: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor w**2\/5 - 6482*w\/5 + 10504081\/5.\nAnswer: (w - 3241)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -9.02 - -0.02. Let l = 5 + n. Let m = 3 + -3.3. Put -2, l, m in ascending order.\nAnswer: l, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -69*q**3 + 695*q**3 + 34*q**3 - 15 + 15 + (-7*q**3 - 3*q**3 - 3*q**3)*(-3 + 0 - 1) to the form h*q**3 + l*q**2 + r + y*q and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = 14*d**2 + 14*d - 10. Let z(x) = x**2 + x - 1. Suppose 6*k + 16*k + 22 = 0. Calculate k*m(f) + 12*z(f).\nAnswer: -2*f**2 - 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -9*h - 19. Let d(l) = l - 13. Let y be d(6). Let n be b(y). Let i be (n\/(-33))\/(2\/3). Sort i, -5, -3 in increasing order.\nAnswer: -5, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = x**2 + x - 17. Let u be n(-13). Suppose 5*d - 353 = -5*m + 7, -2*m + u = d. Let w = m + -32. List the prime factors of w.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 3, z: 2, e: 1, s: 5, w: 7}. What is prob of picking 2 w?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from umxdob. Give prob of picking 1 m, 1 b, 1 x, and 1 d.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Let n(g) be the first derivative of g**3\/3 + 5*g**2 + 5*g + 769. Give n(-16).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -31 + 37 + -12 + 1 + -2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 1, p: 2}. What is prob of sequence pd?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 89856 (base 10) in base 16?\nAnswer: 15f00","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 5981 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (61\/(-3))\/(3\/(-9))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.079  (b) 1  (c) -10\/11  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1787737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 52 - 48. Suppose 0 = -28*w + 14*w - 15 + 15. Put 16, 5, x, w in descending order.\nAnswer: 16, 5, x, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6*k**4 - k**4 - k**4 + k**2 - k**4 - k**2 + 3*k**4 - 2*k**4 - 3*k**4 + (-k**3 + 4*k**3 - k**3)*(-2*k + 2*k - 2*k) + 24 - 24 + 5*k**4.\nAnswer: 2*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = w**3 + 8*w**2 + 7*w + 2. Let p be i(-7). Suppose 27*a - 8 = 46. Solve -a*u = p*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 23 - 23 + 301*m**2 - 299*m**2.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 155 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 42 + -18 + (-9 + 5 - (3 + 2))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 429 + -253 - 178 - (1 - -16).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does -11558 = -11556?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 321 minutes before 2:34 PM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n = -4*c + 10, 6 - 2 = -4*n. Let k be 5 + (-1)\/((-25)\/(-135)). Which is smaller: c or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 10, 19, 38, 73, 130, 215?\n\"Answer: n**3 - n**2 + 5*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 229673441 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = 33*o - 4. Suppose 2*d - 44 = -2*b, 3*d = b - 55 + 13. Suppose -5*x - b = -8*x. Is n(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = 37*x + 2*x**2 - 4*x**2 - 37*x. Let b(s) = 3 + 2 - 5 - 6*s. Give k(b(f)).\nAnswer: -72*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*m = 5*k - 80, 0 = -5*k + m - 20 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 176 minutes after 7:43 AM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l*(l*l*l\/l**(2\/5)*l)\/l)**15)**(-3\/4) assuming l is positive.\nAnswer: l**(-81\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve i + 7 = 0, d + 119*i = 121*i + 10 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = 2*g - 0*g. Let s(b) = -b**3 - 8*b**2 + 5*b + 7. Is s(g) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:41 PM and 10:09 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 + 1 - 2)*((j + 0 + 0)*(-1 + 4 - 1) - j + 2 - 2 + (3 - 3 + j)*(-2 + 3 - 5) + 653*j - 1440*j + 608*j) as m + q*j and give q.\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 + (-2 - (2 - (4 + -3)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -2629*j + 4094. What is the units digit of z(-30)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -2*c**2 - 7*c - 5. Let f be 7\/((-2)\/2 - -2). Let m(k) = k**2 + 3*k + 2. Let h(w) = f*m(w) + 3*t(w). Determine d so that h(d) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from ooooooooooooloooooo?\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert -20066 (base 7) to base 14.\nAnswer: -1aa6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 85152 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1821666?\nAnswer: 2, 3, 7, 11, 3943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 84*z - 366. Calculate k(4).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -13*v - 78. Suppose 14*w = -16*w - w - 155. What is m(w)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve q + 6 = 11 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -198242795 - -198242779.1931097. Let u = 2.8068798 + w. Let t = 13 + u. Round t to six dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18358751 is divided by 2991.\nAnswer: 2984","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a + 4*w = 2, -5*a = -0*w + 2*w - 13 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -5  (b) -0.9  (c) 2\/75\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36*g + 8 = -32*g. Suppose -d - 26 = -g*d. What is the greatest common divisor of d and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 216 divided by 216\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -a**2 - 2*a + 10. What is g(3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -w**2 - 4*w + 8. Let r be h(-5). Suppose 0 = -r*j - 3*i - 143 + 725, j - 5*i = 224. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 26 and 12454.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*16\/(-12)*39\/(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -n**2 - n. Let i be (21\/(-14))\/((-3)\/(-4)). Let q(c) = 3*c**2 - 6*c. Let z(r) = i*q(r) + 6*h(r). Find the second derivative of z(u) wrt u.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7702.\nAnswer: 2, 3851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:26 AM and 6:02 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide 16 by 1227.\nAnswer: 16\/1227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -fe (base 16) to base 9\nAnswer: -312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 68300 is divided by 121?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -87.7 + -507.3. Let r = -595.2945 - t. Round r to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 62, 135, 208, 281, 354?\n\"Answer: 73*w - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 93 from 214.\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 5 + -3. Suppose 0 = j*s - 212 + 60. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -48944537, -48944535, -48944533, -48944531, -48944529, -48944527?\nAnswer: -48944525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1384 a factor of 429423368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 bigger than -12\/1001?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -5?  (a) 0  (b) -0.3  (c) -3  (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Total of 307181.2 and 1.\nAnswer: 307182.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 3*n = -3*w + 87, 0 = 4*w + 4*n - 116. Let c(g) = -g**2 + 10*g + 1. What is the remainder when w is divided by c(9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -m**2 - m - 2. Let d be c(-3). Let u = -15 - -26. Let h = u - d. Does 9 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 61161 is divided by 10183.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -6.6355 to 2 dps.\nAnswer: -6.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 278784 at most as big as 278822?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = 4*m + 38. Determine u(-13).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 425 + -809. Let l = -314170.46 - -313786.45554. Let h = l - v. What is h rounded to four decimal places?\nAnswer: -0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.92?  (a) -3  (b) 5  (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(60)\/(sqrt(144)\/(sqrt(12)*-1)) - ((sqrt(180)\/sqrt(4))\/sqrt(9) + sqrt(320))*-6)*-5.\nAnswer: -265*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.4 + 0.761331300627.\nAnswer: 1.161331300627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1)\/4 - ((-8415)\/12 - 0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 8091 - 8090. Suppose 56 = 4*m + 16. Sort -1, t, m, -5 in increasing order.\nAnswer: -5, -1, t, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(228) - 6*(sqrt(228) + sqrt(228)*3 + sqrt(228)))\/(sqrt(588) - 4*sqrt(588)))**2.\nAnswer: 15979\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -30 times 1.47?\nAnswer: -44.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 466 minutes after 2:15 AM?\nAnswer: 10:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -851011, -851009, -851007, -851005, -851003?\nAnswer: -851001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = 12*w**2 + 5*w - 2. Let g(k) = -23*k**2 - 9*k + 3. Let c(u) = -3*g(u) - 5*n(u). Give c(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m + 47 = -0*m - 2*l, 3*l + 3 = 0. Suppose -2*p - 5 = -m. Find the third derivative of a**2 + 0*a**2 - 8*a**p + 18*a**3 - 6*a**3 wrt a.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 61 divide 6926597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.255 and -306.43.\nAnswer: 78.13965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = d**2 - 2*d. Suppose 5*w - 43 = -33. Let x be o(w). Solve x = -g + 2 + 1 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 0 + 4)*(4*q + 28 - 28)*(-1 + 1 - 2) + (2*q - q + 2*q)*(5 - 3 - 1) to a + x*q and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*l - 4*l = 184. Is 25 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 1 q when two letters picked without replacement from cqmddmqmmdmmdmmm.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 468, 472, 486, 516, 568?\n\"Answer: l**3 - l**2 + 468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4.81773563 + -0.154.\nAnswer: -4.97173563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*p**3 - 124*p**2 + 288*p + 17856.\nAnswer: -2*(p - 12)*(p + 12)*(p + 62)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = 533*c - 2. Calculate l(1).\nAnswer: 531","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -l**2 + 14*l + 401. What is h(-14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 13) to base 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 151\/417768 and 31\/3133260.\nAnswer: 6266520","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 divided by -8241396.\nAnswer: -1\/2747132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 155 divide 10922589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1008843 is divided by 1804?\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 863.4 + 1981.2. What is a rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 12 + -3. Let k(c) = 3*c - 3 + 0 - c. Is k(y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -18*l + 63. Let u be x(14). Let c be -1*(-9)\/(u\/6). What is the closest to c in 3\/4, -3, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-b**3 + b - b)*(4 + 3 - 5) + 1293*b**3 - 456*b**3 + 295*b**3 to v*b + i*b**2 + f + t*b**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5577 by 1399.\nAnswer: 5577\/1399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -129  (b) 1.09  (c) -0.2  (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -78*q + 259 = 25. Which is smaller: q or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 82*m + 2827 + 261 = 628 for m.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-26)\/(-8))\/((-1)\/(-8)). Suppose -5*r - 5*s + 6*s + v = 0, -s - 1 = 0. Suppose r*i + 4 + 6 = 0. Does i = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (4 - (0 - -4))\/(-2). Suppose 32*d = 30*d + 4. Let f(k) = w*k + d*k - k. Let t(u) = 11*u. Calculate t(f(a)).\nAnswer: 11*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -13, -46, -67, -70, -49, 2?\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 994*s + 566*s = 499*s - 463*s + 70104 for s.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -21*w**5 + 64*w**4 + 1242*w**3 - 12868*w - 1015?\nAnswer: -420*w**3 + 768*w**2 + 7452*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 7881 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -o**2 + 5*o - 23. Let u be r(13). Let j = u - -258. List the prime factors of j.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*p**2 + 5324*p - 5320.\nAnswer: -4*(p - 1330)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-138)\/92*4\/18*12.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 22.67335g to nanograms.\nAnswer: 22673350000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -12876098613 + -1.7.\nAnswer: -12876098614.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 28 + -15. Let i(t) = 2 + 14*t**3 - 2 + 3*t - 2*t**2 - w*t**3. Suppose 0 = -3*k + 5 + 1. Give i(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/4)\/(((-10)\/9)\/(-10)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-14)\/(-4))\/(10\/(-4)*(-2)\/(-10)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -1907*b + 32315. Give z(17).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Let a = 7 - 10. Let d(w) = 2*w**2 - 2*w + 3. Let h(m) = m**2 - 2*m + 2. Calculate a*d(b) + 4*h(b).\nAnswer: -2*b**2 - 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 246306820?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*j + 3*m = 5*m - 4, 0 = 2*j - 202*m - 198*m + 403*m - 17 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 323*m**3*z - 3*m**3 - 9449*m**2*z - 28267*m**2 - 2 wrt z.\nAnswer: 323*m**3 - 9449*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.4, 3, -1, 1.8, 0.2, -2\/5, -5.\nAnswer: -5, -1, -2\/5, 0.2, 0.4, 1.8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*h - 406 + 4*h**3 + h**2 + 404 + 0*h**3 as t*h**2 + m*h**3 + w*h + l and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 16844122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -13800 < -14057?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -162*n**2 + 174*n**2 - n + 19*n**2 + n.\nAnswer: 31*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -1105930 divided by 7\nAnswer: -157990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-225)\/(-6))\/5*(1 - -1). Suppose 9 = -6*j - d. Is 14 a factor of 32\/12*(-222)\/j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zvugcgccrgggvv. Give prob of sequence gu.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -4*4\/8*1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -3 + 11231763604.709\nAnswer: 11231763601.709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -22, -2, 44, 128, 262, 458, 728, 1084?\n\"Answer: 2*a**3 + a**2 + 3*a - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -d**3 + 6*d**2 + 2*d - 14. Let g be c(6). Let m be 2 + g + (0 - -1). Sort m, 3, -2\/5 in ascending order.\nAnswer: -2\/5, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**4\/k*k\/(k\/((k\/((k*((k\/(k**(-2\/5)\/k*k))\/k)\/k)\/k))\/k))*k*k\/k**(1\/2)*k**1)**36 assuming k is positive.\nAnswer: k**(1098\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -3 - b2?\nAnswer: -b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1815 is divided by 19?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4 + -1.252.\nAnswer: -5.252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2489?\nAnswer: 19, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5348417?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 8*y**2 - 3*y - 3. Let d be ((-12)\/15)\/(4\/(-10)). Suppose -4*t = -5*o - 12, 4*t - o + d + 2 = 0. Is 13 a factor of w(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -1a + 151a9?\nAnswer: 1518b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -6*i + 2*i. Suppose l - 2*l = -3. Let c = -7 + 4. Sort c, i, l.\nAnswer: c, i, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 572 minutes after 11:45 PM?\nAnswer: 9:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2, -173, -408, -737, -1190, -1797, -2588, -3593?\nAnswer: -4842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r - z + 13 = -r, -5*z = -25. Let j be r\/(-8) - 46\/28. Let l = 10\/21 + j. What is the nearest to l in 0.5, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -23, -29, -39, -53?\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*z - 21392 = 8*z. Is -1 + z\/12*-33 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15*k**3 - 42*k**3 + 22*k**3 - k + k.\nAnswer: -5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-160)\/100*(-4160)\/64.\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 3, s: 8}. Give prob of sequence uu.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((2 + 0 + 0)*(2 - 2 + 2*n) + 2 - 2 - 3*n)*(0*n - 17*n**3 + 0*n).\nAnswer: -17*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 736 - 773 = -37*x. What is the closest to x in -0.3, 3\/2, 156, 3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -3085*t - 4300?\nAnswer: -3085","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -199657\/19600 - -500\/49. Let t = -2\/25 + o. What is the common denominator of t and -56\/11?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hth when three letters picked without replacement from atthyattththtyhta.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (83081 - 3*f - 83071 - 7*f)*(-2*f**3 - 2 + 2).\nAnswer: 20*f**4 - 20*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.004550100475 to five decimal places.\nAnswer: -0.00455","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 7*h**2 + h. Let n(q) = 7*q**2 - 4*q + 4. Let c(s) = -15*s**2 + 9*s - 9. Suppose -14 = -6*r + 40. Let x(d) = r*n(d) + 4*c(d). What is f(x(y))?\nAnswer: 63*y**4 + 3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 5114563 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 41393179 to the power of 1\/2, to the nearest integer?\nAnswer: 6434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 269727 at least as big as 269728?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m + 19 - 68 = -5*c, -40 = -5*c + 5*m. Let z = c - -2. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -107.45 and 18848.\nAnswer: -2025217.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xhkhxvxkxxxjvxxj. Give prob of picking 2 v and 1 x.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (1\/(2 - -1))\/((-8)\/(-48)). Suppose 0*h - 6 = -z*h, 5*h + 53 = 4*p. Let k(r) = r**2 - 15*r - 8. List the prime factors of k(p).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24*v - 12*v - 133*v = 10*v + 3759 for v.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -8437, -6815, -5193, -3571?\nAnswer: -1949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -1783*l**2*p*q - 3*l**2 - 2*l*p - p*q + 13*p - 3 wrt q?\nAnswer: -1783*l**2*p - p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m - m = -240. Let a be 2\/3*m\/8. Suppose 3*i = -2*q - q, q - 3*i - 4 = 0. Solve -f = -q + a for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 109103 by 47.\nAnswer: 109103\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6840684.\nAnswer: 2, 3, 19, 73, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28 = -4*l - 3*m, 14*l = 9*l + 2*m + 58. Solve h - 7*b - l = 0, -6*b = -2*h - 3*b + 9 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 8 - 11. Let p be (-4)\/(48\/15)*(f + -1). Let t be 7 - (-1 + p + -1). Solve 0 = 4*d - 4 - t for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i = 4*l + 3809, 5*i - 1703 = 2*l + 2104. Let q = i - -399. List the prime factors of q.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -2*v**2 - 10*v + 11. What is the remainder when 30 is divided by h(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 539440 by 1.\nAnswer: 539440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 227 - 909\/4. Which is the closest to 1?  (a) -15\/4  (b) 5  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 465580963 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -72a (base 11) to base 3\nAnswer: -1012120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -54\/7 at most as big as -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-one halves of a litre in millilitres?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 51732349?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = 17*u + 602. What is the remainder when 1301 is divided by g(-29)?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 161, 184, 217, 266, 337, 436?\n\"Answer: m**3 - m**2 + 19*m + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -52*y**2 - 2 + 56*y + 2 - 928*y**2.\nAnswer: -980*y**2 + 56*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*p - 231 = 3*p - 15*p for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*q + 272 = -28*q. Let h = 34 + q. Solve -f + 2 - 4 = h for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 13*i - 5 + 2*i**2 - 3*i**2 + 3. What is the units digit of g(11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 284 = -2*a. Let r = a - 66. Suppose -k - r = -5*k. Does 13 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h + 2 + 10 = 4*m, 9 = 3*m. Suppose 71 - 23 = 12*p. Solve h = -x + p for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*f + 39 = 12. Let l(k) = -4*k + 4. Let v(t) = -7*t + 7. What is f*v(r) + 5*l(r)?\nAnswer: r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1159578 + 1159578 - 12*n**3.\nAnswer: -12*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 728*j**2*t + 369879*j**2 + 47*j*t + 2*j + 5*t wrt t?\nAnswer: 728*j**2 + 47*j + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*n**3\/2 + 693*n**2 + 8100*n.\nAnswer: 3*n*(n + 12)*(n + 450)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express (t**2 + t - t)*(t**2 - 9*t**2 - 4*t**2) as i*t**4 + l*t**3 + d*t**2 + r*t + u and give i.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*4*(sqrt(882) - (sqrt(882) + (3*sqrt(882) - sqrt(882)))))\/(sqrt(144)*2*-6 + sqrt(144) + sqrt(144) + 1*sqrt(144)*1).\nAnswer: -14*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 44\/16 - (-2)\/8. Suppose -4*h - 11 + s = 0. Sort -1, 2, h in descending order.\nAnswer: 2, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 57 + -116. Let c be ((-275)\/10)\/(-9 + 171\/18). Let s = c - x. Solve s*k = -2*d + 1 + 3, 5*d - 4*k = -18 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 332 minutes after 10:36 AM?\nAnswer: 4:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -13714, -27444, -41174, -54904, -68634, -82364?\nAnswer: -96094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 17*f - 2. Let v be p(2). Let w = 66 - v. Does 10 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11.706 take away -915976?\nAnswer: 915987.706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -61 + 61 - 2*h**3 - 6*h to k*h + i + w*h**3 + u*h**2 and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:58 AM and 1:17 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -6*g - 14*g**4 + 2*g - 2*g**4 wrt g?\nAnswer: -192*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = 3*b + 52*b**2 + 3*b**3 - 6*b**4 - 52*b**2. Let h(a) = -a**5 - 6*a**4 + 2*a**3 + 2*a. Let g(w) = -3*h(w) + 2*l(w). Determine p, given that g(p) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 93\/4 and -37\/13040.\nAnswer: 13040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 209828?\nAnswer: 2, 52457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 247550*2.\nAnswer: 495100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(24)\/(sqrt(40)\/sqrt(5)) - sqrt(3)) + -2*sqrt(243) - (1*(3 + sqrt(192)) + sqrt(192))) + -3)**2.\nAnswer: 408*sqrt(3) + 3504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -2*f**3 - 3901*f**2 + 149110*f + 19882. Calculate b(-1988).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 196*c*k - 13037881*c - 27497*k wrt k?\nAnswer: 196*c - 27497","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -j**2 + 5*j - 7. Suppose -2*t - 3*r + 4 = -r, 19 = 5*t + 2*r. Calculate v(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m - 318 = -5*u, -2*m - 4*u - 294 = -3*u. Let g be 2\/6*0 + -229. Let x = m - g. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -x - 16. What is g(-16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 730125 - 115751. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 - 6 = -3*k. Let o be (-6)\/9 - (-8)\/k. Let d = -101 - -100. Which is the third smallest value?  (a) d  (b) o  (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:45 PM and 1:03 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*r + b + 2*b = 3, 3*b = -12 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 210 - (1932\/(-138) + 151)?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 673106?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1742\/3*k**2 - 8\/3 + 1160*k = 0 for k.\nAnswer: -2, 2\/871","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 23999901.\nAnswer: 3, 61, 313, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4989 is divided by 1224.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2 - -1. Let p = -335.1 - -335. Which is the nearest to p?  (a) i  (b) -7  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 - 2) + -4 + 0 + 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2eb (base 16) to base 4.\nAnswer: 23223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 689125 - 7764587?\nAnswer: -7075462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + (sqrt(242) + 2)*3)**2 + (-3*(3*sqrt(128) + sqrt(128))*6)**2.\nAnswer: 726*sqrt(2) + 665851","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4\/(-9)*-30*31\/(496\/6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 27970483 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -32577*q**2 - 32571*q**2 + 97747*q**2 - 32581*q**2.\nAnswer: 18*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17 = 3*d - 3*x - 10, d + 3 = -5*x for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -0.06  (b) -0.16  (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2 - (2 + (-110)\/(-19)). Is -5 at least j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) be the second derivative of -t**4\/12 + 5*t**3\/2 + 8*t**2 + 6*t. What is the units digit of z(15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 divided by 1222006?\nAnswer: 3\/1222006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -a. Let l = 30 - -64. Suppose -l + 79 = 15*q. Let s = 3 + -6. Let v(z) = z**2. Determine q*c(m) + s*v(m).\nAnswer: -3*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 24 - 9. Let p = 14.9932 - s. Let o = p - -0.011. Round o to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10159971 divided by -5\nAnswer: 10159971\/5","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -863\/5, -2\/7, -4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*b**3 - 27626*b**2 + 3976228*b + 1138320 = 0 for b.\nAnswer: -2108, -2\/7, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 3, -2, -5 in decreasing order.\nAnswer: 3, 2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2051446 and 365?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1.399 + 4.313. Let j = -0.314 + k. Put j, 1\/5, 1\/4 in increasing order.\nAnswer: 1\/5, 1\/4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 786969 to the nearest integer?\nAnswer: 887","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -10320107656594+34\nAnswer: -10320107656560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6\/37, 1\/6, -1\/2 in descending order.\nAnswer: 1\/6, 6\/37, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = u + 5. Let l(c) = 2*c - 2. Let r be l(2). Suppose 2 + 2 = w + 2*x, -r*x = -10. Let j be t(w). Is 1\/5 at most j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*sqrt(204)*2*-4*5)\/((sqrt(240)\/sqrt(80))\/(1*sqrt(4)*3)).\nAnswer: -1920*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 112651360 by -2020.\nAnswer: -55768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -463*m**2 + 234*m**2 + 222*m**2. Let p(t) = 45*t. Determine a(p(h)).\nAnswer: -14175*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 2*z + 4130. Let c(b) = -86*b. What is w(c(l))?\nAnswer: -172*l + 4130","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -43\/30431 and 25\/2.\nAnswer: 60862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand 25*w**4 + 21*w**4 - w**4 - 4*w**4 - 2*w**4 + w**4 + (0*w**3 + 0*w**3 - w**3)*(4*w - 5*w + 0*w).\nAnswer: 41*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put -7, 45, 2 in increasing order.\nAnswer: -7, 2, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3222 + 3225 + 3242 - 9689 + 2*l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = 5*m - 9. Suppose -4*z = -48 + 20. Let n(p) = 3*p - 5. Calculate z*n(d) - 4*i(d).\nAnswer: d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ks when two letters picked without replacement from {z: 13, s: 3, k: 4}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 96 = 6*i - 0*i. Let m be 2\/30 + (-168)\/(-180). Calculate the greatest common divisor of m and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31 + 9 = 5*n. Calculate the remainder when 23 is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -74 - -29610.25.\nAnswer: 29536.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13121123 is divided by 84?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.3016 or 7?\nAnswer: -0.3016","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 176 minutes before 6:50 AM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 116.9 + -111. Round k to zero decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*x = 2*x - 12. Let t(v) = 151 + 12*v - 19*v + 12*v - 72 - 74 + 3*v**2. Let r(q) = -2*q**2 - 4*q - 4. Give x*t(o) - 4*r(o).\nAnswer: -o**2 + o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = w**3 - 7*w**2 + 7*w - 6. Let r be v(7). Suppose 5*p + 4*k - 215 = 0, 4*k - k + r = p. Calculate the remainder when p is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*v**3 + 8*v**3 + 2*v**3 - v**3 + 5*v**3 - 2*v**3 + (3*v**3 - 2*v**3 + 0*v**3)*(3 + 2 - 3) + 3*v**3 + 2*v**3 - 3*v**3 - 5*v - 4*v**3 + 5*v.\nAnswer: 12*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -75.3759378028 and 7.6?\nAnswer: 82.9759378028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (-24)\/3*1\/2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 8019 and 198.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -580*f - 578*f = -1135*f - 92 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + 0 + (-1 - 4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -2\/25, 0, -3\/5, 136.4, 3\/4, -2?\nAnswer: 136.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) be the second derivative of -5*w**4\/24 - w**3 - 5*w**2\/2 + w. Let b(g) be the first derivative of y(g). Find the first derivative of b(n) wrt n.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:32 AM and 8:41 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 55818 and 4.\nAnswer: 111636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Add together 35206921 and -36.5.\nAnswer: 35206884.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -420*q - 7689880 + 7682740 = 0 for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = g**3 + 8*g - 2. Let f be j(-4). Let c = 77 + f. Let r(n) = -n**2 - 27*n - 16. What are the prime factors of r(c)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 22 - (-60 + 50 + 12)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -9122 - -9208. Which is the nearest to 0.1?  (a) f  (b) 5  (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -18 divided by -1475328.\nAnswer: 3\/245888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 960 divided by -6\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -10 - -12. Let d(v) = -v**3 + 22*v - 16. Let g be d(-5). What is the biggest value in l, g, -0.5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Is 203256139 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -122\/3441 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -7215*l**4 - 3411*l - 2 wrt l.\nAnswer: -86580*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**14)**35 assuming l is positive.\nAnswer: l**490","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 7363.906ml?\nAnswer: 7.363906","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l = -3*h - 0*l + 4, -h + 4*l = 4. Suppose 0 = -2*d - h*d - 12. Let c(w) = -w**2 - 5*w + 5. Calculate c(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-3)\/(18\/(-3)))\/(104017\/10148)?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*v = -4*i + 40, 63 = -4*v + 19*i - 116 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4197467 is divided by 2497?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rrbrbbrbbbbrb. What is prob of picking 2 b and 1 r?\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(416)*-2 - sqrt(416))\/sqrt(8) + -4)**2.\nAnswer: 48*sqrt(13) + 484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1149673363 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2299)*2)**2 + sqrt(2299) + (sqrt(171) + sqrt(171) + -1)**2.\nAnswer: -sqrt(19) + 9881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3520 by 64.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5 = -n + 2130*v - 2126*v, 0 = -3*v - 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1323007 - -1?\nAnswer: 1323008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 18556, 18081, 17298, 16213, 14832, 13161, 11206, 8973?\n\"Answer: p**3 - 160*p**2 - 2*p + 18717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 5\/8 of a millennium?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 70328.1 grams in milligrams?\nAnswer: 70328100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 38 - 18. Suppose -4*b + 134 - 36 = 9*i, -i - 3*b = -16. Solve i*s = 5*s - m for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(sqrt(343) + -2)*6 + (sqrt(343) - -2*sqrt(343))*6*-5)**2.\nAnswer: 36288*sqrt(7) + 1779408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/(26 - (-730)\/(-28)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + ((sqrt(140) + (sqrt(140) - (sqrt(140)*-2 - sqrt(140)) - sqrt(140))*4 + sqrt(140))\/sqrt(10))\/((sqrt(4032)*-1)\/sqrt(4)))*-4.\nAnswer: 14*sqrt(2)\/3 + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 39902.5939 + -40001. Let j = 96.5 + c. Let v = j - -1.9. What is v rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 668227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 3407 - 3414. Let c(x) be the first derivative of -3*x**4 + 3*x**3 + 5*x**2 + 6*x + 1. Is c(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + (-1*sqrt(1053) - sqrt(1053)))**2 + -4 + sqrt(1053) + 1 + sqrt(1053).\nAnswer: 198*sqrt(13) + 4234","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*x + 3*f = 23, -4*x - 5*f = -7*f + 22 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) be the second derivative of c**5\/60 - c**3\/3 + c**2 - c. Let h(g) be the first derivative of z(g). What is the derivative of h(t) wrt t?\nAnswer: 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*d - 849 - 437 = 77*d + 1464 for d.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*y + 2*f = 22, 664*y + 4*f + 17 = 660*y + 5*f for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (163 - 173) + 3 + 0 + -6 + -79.\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 350*g + 5*g**2 - 2 - 3 + 3*g**2 + 9*g**2 - 20*g**2 to the form x*g**2 + q + a*g and give a.\nAnswer: 350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 427.3095 months?\nAnswer: 0.035609125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3 - 386*t + 1 + 389*t + 7 to the form r*t + u and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 2, z: 2, d: 2}. Give prob of picking 2 m, 1 d, and 1 z.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 18143 - (14\/1 + -8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*p - p - 10*p)*(2*p - 4*p + 5*p) + (-2 + 2 - p)*(176*p - 40*p + 51*p) to the form c + k*p + q*p**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 15 - (8 - -1) - 7 - 10\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t = z - 2*z - 1, 0 = -2*z - 2*t + 22. Let a = -6 + 5. Sort a, -3, z.\nAnswer: -3, a, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*q**2 + 3*q - 3*q)*(-3 - q**2 + 3) + (5*q - 2*q - 4*q - 1)*(2 + 3*q**3 - 2)*(0 - 3 + 4).\nAnswer: -q**4 - 3*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -5626 <= -5635?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + 4 = 4*y + 5*a, -3*y + 3*a = -6. Solve 6*b = y*b + 16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/725, 488, 5\/4 in decreasing order.\nAnswer: 488, 5\/4, -1\/725","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -f + 16. Calculate the remainder when 20 is divided by i(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-21)\/(-126))\/((-6)\/612)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -964 + 3302. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bbd when three letters picked without replacement from dbbb?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -16153\/249 - -17\/83. Let x = -64 - u. What is the closest to -5 in x, 2\/9, 0.3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*z**3\/7 - 32805*z**2 - 4268084481*z\/7 + 4866835012551\/7.\nAnswer: -3*(z - 1077)*(z + 38811)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14362498 = -53*s - 311*s + 51216106. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t + 2*t = 44. Suppose z + t + 1 = 0. Let c = 26 + z. Is 14 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4?  (a) -3  (b) 539  (c) -2\/7  (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*m**3*n + 7*m**3*u - 2*m**3 - 71*m**2*n*u**2 + 62*u**2 wrt n.\nAnswer: -2*m**3 - 71*m**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) be the first derivative of l**5\/2 - l**4\/3 + 23*l - 16. Let k(q) be the first derivative of s(q). Determine m so that k(m) = 0.\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -320429 * -1.\nAnswer: 320429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 346408*5\nAnswer: 1732040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) be the first derivative of -m**3\/3 + 9*m**2\/2 + 14*m + 2787. Suppose 4*u - 43 = -7. Is 14 a factor of g(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**(1\/5)*((z\/(z*z**5))\/z)\/z*(z*z*z**(-1\/3))**(2\/15) assuming z is positive.\nAnswer: z**(-296\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((h*h**(-7\/6))\/(h*h*h*h**(2\/3)*h*h))\/(h**(-8)*h*h*h*h**(-3)))**11)**(-24) assuming h is positive.\nAnswer: h**(-572)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = a - 9*a + 7 + 7*a. Let v be y(6). Suppose c = -o + 14, c - 3 = 4*o + v. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 148197460 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 5  (b) -2\/661  (c) 4  (d) -1.069\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b + 12 = g, 5*g - 20 - 34 = -b. Let a = 13 - g. Let m = a - -2. Calculate the greatest common factor of m and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2 + 1. Let h be (-2 + 1)*(n - -1). Suppose 0*s + 4*s - 48 = h. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = x - 34 + 70 - 41. Let j(l) = 6*l - 4. Let k be j(2). What is g(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3\/38?  (a) -3312  (b) 1\/2  (c) -1  (d) 3  (e) 2  (f) -0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1058379, 1058102, 1057823, 1057542?\nAnswer: 1057259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 48*c - 58 = 19*c. Suppose 5*x = 11 - 1. Suppose -o - 3 = -z, z = x*z + 5*o + 9. Solve z = c*h + 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (6*a - 4*a - 3*a)*(-1794*a + 725018 - 725018)*(2*a - a - 2*a) as f*a**2 + h + b*a**3 + c*a and give b.\nAnswer: -1794","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*a + 5*o + 22340, -2*a + o + 8920 = 3*o. List the prime factors of a.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 305, 162, -181, -808, -1803, -3250, -5233, -7836?\n\"Answer: -14*g**3 - 16*g**2 + 3*g + 332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:37 AM and 3:47 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 80554063 - 80554063 + 7*d.\nAnswer: 7*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide -18919 by -79.\nAnswer: 18919\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 1\/3942 and 89\/292?\nAnswer: 7884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in seventeen quarters of a second?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 108*t**2 + 106*t**2 - 4*t**3 + 7*t**3 - 112*t - 215*t**2.\nAnswer: 3*t**3 - t**2 - 112*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - i - 3*q = 0, -10 = -3*i - 2*q. Suppose -4*h + 8 = 0, -i*k + k + 49 = -3*h. Let x be k\/9 + (-6)\/27. Put -3, x, -5 in decreasing order.\nAnswer: x, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 5372 and 42823.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.12 + 14.88. Let l = t + -10. Let o = 4 - l. Put 0.5, o, 0.2 in ascending order.\nAnswer: o, 0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7803936 to the power of 1\/3, to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*v + 7*v = 0. Suppose -w + 1150 = -v*w. Let l = w + -413. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -4*v + 5. Let k(p) = 12*p - 16. Suppose n - 4*d + 0*d - 54 = 0, -2*d + 182 = 5*n. Let y = n - 28. Let r(l) = y*c(l) + 3*k(l). Determine r(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 5, -4, 532, -442, 2\/5.\nAnswer: -442, -4, 2\/5, 4, 5, 532","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 10, 3, 13 in decreasing order.\nAnswer: 13, 10, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.01424645 to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 158 divide 90466?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 251, -81, -531, -1015, -1449, -1749?\n\"Answer: 14*d**3 - 143*d**2 - d + 381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is (-91 + -306)\/(1\/(-67)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -43 - -5?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 929*h - 66 = -u + 932*h, -154 = -3*u - 2*h for u.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (s + s - 5*s)*(-2 + 1 + 0)*((0*s + 2*s - 3*s)*(-4 + 1 + 1) + 2*s - 4*s - s).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -23  (b) 0.3  (c) -2  (d) 1\/12  (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is -487 < -455?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = 3*s - 3. Let r be f(2). Let h = 0 + r. Suppose 4*c - h = 5*c. Are -3 and c equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 50949 * -7.68.\nAnswer: -391288.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -67*n + 1219 + 1059 = 0. Solve 0 = 6*o - n + 16 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2398 (base 11) in base 14?\nAnswer: 11da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1213.7641 + -1230.7641112. Let u = -17 - x. Round u to 6 dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 15, q: 5}. What is prob of sequence nn?\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 267744 and 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 36 - 10626*g**3 + 27 + 10624*g**3 - 63.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 6 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 38 divide 271548207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m = z - 563, 4*z + 9*m = 5*m + 2232. List the prime factors of z.\nAnswer: 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 141682 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 33496 and 51304?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1.2587 + -1.24. What is q rounded to 3 dps?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nitn when four letters picked without replacement from {p: 2, i: 1, t: 1, w: 1, n: 2}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.3 and -27925441225?\nAnswer: 27925441224.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (18\/(-5) - -2)*5\/(-2). Suppose 3*i = -0*i + q + 13, 4*q + 4 = -x*i. Suppose -i*n - b = -4*b - 228, 10 = -5*b. Does 24 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -5261 and -0.2.\nAnswer: 1052.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 1, 14, -961 in descending order.\nAnswer: 14, 1, -5, -961","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.1 and 270.\nAnswer: 269.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(68)\/(sqrt(44)\/sqrt(396) + sqrt(4)) + 1.\nAnswer: 1 + 6*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 9\/2*(2 - 4\/3). Let v = -79 + 81. Let j = -0.2 - -0.1. Sort v, n, j in increasing order.\nAnswer: j, v, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/25 of a millennium in months?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 7 + -6.97. Let p = 0.116 - 62.116. Let y = p + 59. What is the second smallest value in y, -1\/5, j?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = s**2 - s. Let a be n(2). Suppose -a*j + 19 = -j. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) be the second derivative of a**5\/10 + 7*a**4\/12 - 11*a**3\/6 - 7*a**2\/2 + 29*a. Let k(b) = -b**3 - 3*b**2 + 5*b + 3. Give 7*k(u) + 3*m(u).\nAnswer: -u**3 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 8414 + -260858\/31. Let n = -306\/155 - s. Is n bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -611 + 93. Let b = f - -525.66. Round b to zero dps.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 28197?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*j + 206*j - 3346 = 2354 for j.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 12883628, 25767246, 38650864, 51534482?\nAnswer: 64418100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Add -140007293932 and -5.8.\nAnswer: -140007293937.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 717 is divided by (2\/(-16) - (-67)\/24)*1716\/13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -151\/6 - -77\/3. Put -5, -15, g in decreasing order.\nAnswer: g, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/7 in 0.3, 10, -1\/7, -0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4 + t + 3 - 1 + (-2 + 3 - 4)*(0*t + 3*t - 2*t) - 16*t + 23*t + 31*t to n*t + q and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1523001 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -3*((-1)\/(21\/14) + 2). Sort 4, y, 17, 1 in increasing order.\nAnswer: y, 1, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -16*o**3 - 6*o**2 - 8. Let z(v) = -15*v**3 - 5*v**2 - 7. Determine -4*q(f) + 5*z(f).\nAnswer: -11*f**3 - f**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = v**2. Let b(s) = 11*s + 2. Let y(j) = 10*j + 1. Let k(c) = -2*b(c) + 3*y(c). Let i(f) = 33*f - 4. Let q(r) = 4*i(r) - 18*k(r). Calculate u(q(h)).\nAnswer: 144*h**2 - 48*h + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2292480607 to the nearest integer?\nAnswer: 1319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - 2*g + 24 = 0. Let h(x) = x**3 - 9*x**2 + 3*x + 8. Let v be h(8). Let z = 70 + v. What is the remainder when z is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*k - 18 = 3*u, -24*k - u - 8 = -22*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -5876 - -3536. What is a rounded to the nearest 100?\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1656\/(-1863)*210\/(-16)\nAnswer: 35\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:08 AM and 4:22 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2239\/105351 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*l - x + 21978 = 0, l + 1113 - 4243 = -5*x. Calculate the smallest common multiple of 20 and l.\nAnswer: 3140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(99) - -4*(-1*sqrt(99) - sqrt(99)))\/(sqrt(225)*2).\nAnswer: -7*sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor v**3\/3 - 2*v**2 - 12*v - 40\/3.\nAnswer: (v - 10)*(v + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = w**2 + 8*w - 1. Let t be i(-5). Does 30 divide (-3 - -7) + t*(-10 + -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10011100011 (base 2) to base 13.\nAnswer: -753","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((1 - 3) + (-8)\/1)*-68. Suppose -4*d + 0*z + p = -2*z, -z = 4. Is 51 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -29*h**3 + 64*h**3 - 2 + 3*h**2 + 9*h - 37*h**3 - 49*h in the form y*h**3 + c + v*h + s*h**2 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 4*p**3 - 16*p**2 + 16*p - 16. Let g(w) = -w + 37. Let y be g(40). Let v(r) = -r**3 + 3*r**2 - 3*r + 3. Give y*l(a) - 16*v(a).\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = o**2 + 4*o - 1. Let q = 9 + -14. What is the units digit of t(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-51)\/(-12)*(-5 - -6 - 525). Is -2226 <= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -u**2 + 1. Let t be (-1)\/((-1)\/20*2). Suppose t = -3*w + w. Let v(r) = 3*r**2 - r - 3. Let g = -448 + 447. Calculate g*v(j) + w*f(j).\nAnswer: 2*j**2 + j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*s**4 - 3*s**4 + s**4 - 47*s**4 - s**4 + 9*s**4 + (-2*s - 2*s**2 + 2*s)*(-s**2 + 3*s**2 + 0*s**2) + 4*s**3 - 4*s**3 + 2*s**4.\nAnswer: -43*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert -433455 (base 8) to base 10.\nAnswer: -145197","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 114 = -3*p - 0*p + 3*v, 4*p + 176 = -2*v. Let r = -25 - p. What are the prime factors of r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in f - 192444856511*f**3 - f + 192444856512*f**3.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 376 minutes before 11:24 AM?\nAnswer: 5:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 697*d*k**2*s**2*z**2 - 3*d*s**2 + 9*d*s*z**2 + k*s**2 + 3*k*s*z**2 - k*z**2 wrt k.\nAnswer: 1394*d*s**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 118459 divided by 11?\nAnswer: 10769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -3 from -0.149.\nAnswer: 2.851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5492, 10921, 16356, 21797?\nAnswer: 27244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27*a + 44 = -23*a. Let g = a - 8. Suppose 5*p + 5*q - 27 = 3, 3*p - 4*q + g = 0. Solve -3*b + 3*l + l - 12 = 0, 2*l - 6 = p*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 493 + -208. Calculate the highest common divisor of j and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 109755142 by 7.\nAnswer: 15679306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/(y*y**(-3\/4)\/y))**(-2\/105)\/(((y*y*y\/y**(-19\/4)*y)\/y)\/y)**(1\/2) assuming y is positive.\nAnswer: y**(-409\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (7*(-4)\/(-8))\/((-1)\/(-2)). Solve -c - b = -2 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -24*g**3 + 6*g**2 - 31*g - 6. Let n(d) = -48*d**3 + 13*d**2 - 62*d - 13. Let p(r) = 6*n(r) - 13*s(r). What is the second derivative of p(z) wrt z?\nAnswer: 144*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 60059634 to the nearest integer?\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -1+-518431702.4\nAnswer: -518431703.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*p - z = -8 + 1, -z + 6 + 0 + 1 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 533*-3.06469\nAnswer: -1633.47977","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -2+-21263\nAnswer: -21265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-12)\/(-81))\/(3\/(9\/2))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 11376 = -3*w, 4*s - 3*w - 3804 = 3*s. Suppose 0 = -r + s - 752. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*z + 6*z - 21 = -3*s, 3 = 4*z + 3*s. Let h(q) = 6*q - 9. What is h(z)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -3 - -30?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 186081?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1282.03 + -1273. What is r rounded to zero dps?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 4\/(-6)*(-522)\/116. What is the third derivative of 28*v**2 + 59*v**h - 5*v + 5*v - 32*v**3 - 1 wrt v?\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 16*h**2*w**2 - 5260*h**2 - h*w**3 + 2*h + 45*w**2 with respect to w.\nAnswer: 32*h**2*w - 3*h*w**2 + 90*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 356 + -354. Suppose 4*y = 3*g - 7, -g + 4*y = a*y - 1. Solve 3*f = -2*f + g*n, -f - 2*n = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 10444, 10470, 10502, 10540, 10584?\n\"Answer: 3*s**2 + 17*s + 10424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a - 7 = -35. Suppose a*v = 2*v + 15. Let n be 0*((-4)\/(-3) - (0 + 1)). Solve 4*s = v*i - 10, 4*i = -n*s + s + 9 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -40 - 2*p**3 + 15*p**3 - 9*p**3 + 0*p**3 - p**4 wrt p?\nAnswer: -4*p**3 + 12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3 + -21. Which is the third smallest value?  (a) v  (b) 0.4  (c) 0.3  (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9\/22*(-2376)\/(-648) + 75\/10\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -x**3 + x**2 + 3. Let y be i(0). Suppose -3*r + 5*a + 0 = 3, -y*r = -4*a. Suppose r*z - u = 66, 5*z + 4*u - 74 = u. Is z a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-14 + -1)*(-5 - 4). Let n be (5 + -11)*696\/(-18). Let t = n - v. Does 18 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = i + 5, 6*b - 11782 = 2*b + 2*i. Is b a multiple of 109?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -75 + -0.16?\nAnswer: -75.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z = 2*z - 4*c + 35, 2*z = -5*c + 55. Suppose 0 = -5*j + z, 4*n + 4*j = -n + 62. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z = -2*h - 15, -h - 5*z = -3*z - 10. Let l(v) = -v**2 + v. What is l(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = 7*s**2 - 3*s - 862. Let k(p) = 17*p**2 - 7*p - 1722. Determine 3*k(o) - 7*n(o).\nAnswer: 2*o**2 + 868","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 120701401 a multiple of 714?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = u**3 - u**2 + 4*u - 4. What are the prime factors of w(4)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 3, 16906, 0, -32 in increasing order.\nAnswer: -32, 0, 1, 3, 16906","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*v**3 + 8*v**3 + 9*v**3 - 4*v**3 + 7*v**3.\nAnswer: 24*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -2*z + 7. Let w be x(-7). What is the greatest common divisor of 7 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -61, -57, -51, -43, -33, -21?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -117.7 - -118.7. Let d = -498\/325 + 21\/25. Put d, f, 0, -1\/4 in ascending order.\nAnswer: d, -1\/4, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (84*v + 8*v**3 - 84*v)*(0 - 14 + 3).\nAnswer: -88*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = 25*n. Let m(z) = -6138 + 6138 + 3*z. Give m(c(i)).\nAnswer: 75*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nvuf when four letters picked without replacement from {v: 1, u: 1, n: 2, f: 1, e: 2}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = o**2 + o + 4. Let t be k(-3). Calculate the greatest common divisor of 15 and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -28*t + 54*t + 6 - 23*t in the form a + k*t and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -36038*j - 228219*j - 2120*j + 8*j**3 - 6*j**3.\nAnswer: 2*j**3 - 266377*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eersrnsetqsqr. Give prob of picking 1 t, 1 e, and 1 s.\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -5  (b) 0.5  (c) 202827\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) be the third derivative of x**8\/840 - x**7\/105 + x**6\/45 - 13*x**3\/6 + 14*x**2. Let k(c) be the first derivative of h(c). Suppose k(o) = 0. What is o?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -20 - -25. Let s(w) be the third derivative of -1\/30*w**6 + 0*w**3 + 0*w + 0 + 1\/24*w**4 - 2*w**2 + 0*w**v. Find the second derivative of s(p) wrt p.\nAnswer: -24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 0.1  (b) -15  (c) 2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 5 + -5.4. Let h = -108\/59 - -383\/177. What is the second biggest value in m, 2\/7, h?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -147, -33, 83, 201?\n\"Answer: z**2 + 111*z - 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -18 - -106. Suppose 5*t - 124 = 3*l, 0 = -t + 3*t + 5*l - 31. Calculate the remainder when m is divided by t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 128214 a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 66\/297*(-6)\/8?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1938 + -3875\/2. What is the nearest to h in -1\/9, 1, 5\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23*z + 46*y = 42*y - 73, -5*y = 2*z + 118 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -16*k**2 - 46*k - 161. Let d(y) = 3*y**2 + 9*y + 32. Let l(u) = 11*d(u) + 2*q(u). Let a be l(-5). Solve a = -2*p + 7*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 + 0 + (0\/(-3) - -77) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**9\/(w**17\/w*w))\/(w\/(w\/((w\/(w*w**3))\/w)))**22)**(-6\/5) assuming w is positive.\nAnswer: w**(-96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*y - 2*d = -0*y - d + 2*d + 110, -2*y = -3*d - 86 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 160 minutes before 4:32 AM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -34 + 39. Suppose -c + 72 = h + h, -3*h - g*c + 122 = 0. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 36, 2, 3, 866, 30, -8.\nAnswer: -8, 2, 3, 30, 36, 866","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -78*j**2 - 14*j + 41. Let z(w) = 156*w**2 + 28*w - 83. Let k(o) = 11*h(o) + 6*z(o). Is k(-12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {n: 2, d: 2, r: 6, s: 9}.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*w + 4*g + 73, -w + 3*g + 4 = -27. Is w a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 45*t + 477*t**3 + 225*t**2 + 257*t**4 - 42*t**3 - 2 + 103*t**4 + 5 + 108*t**5.\nAnswer: 3*(t + 1)**3*(6*t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 20817?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t - 992 = 24*j - 28*j, 0 = -j - 5*t + 248. Let b = 267 + j. What are the prime factors of b?\nAnswer: 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -27 - -55?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-752)\/30 - (-4)\/6. Let d = 24 + h. Suppose 3*w = q + 3 + 11, -3*q - 17 = -4*w. Sort q, -1, d in decreasing order.\nAnswer: q, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = 2*s**3 - 5*s**2 + 3*s - 12. Calculate q(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 124 divide 6345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from cuuccucuauu.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1cc4 - 192f?\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + (sqrt(27) - sqrt(108) - sqrt(27)))**2 + (sqrt(27) - sqrt(243)*1 - sqrt(27)) - (3 + 0 + sqrt(243) - -6*(-2*sqrt(243) + sqrt(243) + sqrt(243)))**2.\nAnswer: -99*sqrt(3) - 135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -4997, -4340, -3683, -3026?\n\"Answer: 657*w - 5654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 102*l**4 + 11*l**2 + 8*l + 33578 wrt l.\nAnswer: 408*l**3 + 22*l + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -3 - b982?\nAnswer: -b985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1405*s + 377*s**2 - 611*s**3 - 28*s**2 - 1405*s - 583*s**3 wrt s.\nAnswer: -7164","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-seven halves of a decade in months?\nAnswer: 1620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 43 a factor of 7868742?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1 + 15. Suppose 2*f - 3*a = 2*a - h, -13 = -3*f - a. Suppose 6*y = 3*y + f. Solve t + y = -0*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -w. Let h(z) = 9010*z. Give h(q(p)).\nAnswer: -9010*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -r**3 + 28*r**2 - 31*r + 102. Give q(27).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5 - 1 = -2*g + 4*m, -m + 10 = 4*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:10 PM and 10:41 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 (base 7) in base 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/7?  (a) 4  (b) -3  (c) 31\/2  (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 1, n: 1, g: 1}. What is prob of picking 1 g and 1 j?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (-2 - (4 - -1)) + (7 - -1) + 3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:41 PM and 9:26 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve b - 98*s + 11 = -99*s, 8*b + 502*s - 506*s + 40 = 0 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, 28, -0.1, 4\/3 in decreasing order.\nAnswer: 28, 4\/3, 0.2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = 414*u + 502. Let p(j) = -1241*j - 1499. Let q(v) = -8*i(v) - 3*p(v). What is the derivative of q(m) wrt m?\nAnswer: 411","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1448, -1\/6, -8175 in descending order.\nAnswer: -0.1448, -1\/6, -8175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c + 14 = -2*j - j, 0 = 3*j - 4*c - 26. Suppose 0 = -2*p + 5*b + j, -4*p - 4*b = -6*p + 4. Suppose -7*i = -p*i. Solve i = g - 3*g - 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 808603.\nAnswer: 808603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*n - 2*n - 4*r + 8, n - 5*r - 19 = 0. Suppose n*o + 3*g = -0 + 12, 20 = 4*o + 5*g. Let j = -1190848 + 1190849. Solve -j + o = m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*q**2\/2 - 1080*q - 139365\/2.\nAnswer: 5*(q - 489)*(q + 57)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000539 to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 386767?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*p**2\/9 + 87149056*p\/9 + 949369745211392\/9 = 0. What is p?\nAnswer: -21787264","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 185187539 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 22425+-21002\nAnswer: 1423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (409 - 87*i + 401 - 810)*(-2 - 2 + 6).\nAnswer: -174*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does -3691 = -3690?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(320) + 0 + sqrt(320) - (sqrt(605) - 3*sqrt(605)))**2.\nAnswer: 7220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -5847*r**5 - 5*r**4 + 6498*r**2 - 222186697*r wrt r?\nAnswer: -116940*r**3 - 60*r**2 + 12996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from dddzdzd. Give prob of picking 4 d.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -8528743 (base 11) to base 8\nAnswer: -71225107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 19 + (27 - 32) - 27.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -310.7 and 0.279.\nAnswer: -86.6853","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -50 - -16?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 1013.81 rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express -g**3 - 2*g**3 + 2*g**3 + 2*g**3 + 9*g - 9*g + (3*g - 1 + 1)*(3*g + 3*g - 4*g)*(-3 + g + 3) in the form n*g**2 + f + z*g + m*g**3 and give m.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = 15*c**2 - c + 2. Let x be (-2)\/(-11) + 120\/66. Does 20 divide q(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 9\/10 of a kilometer?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -51*s + 55*s - 3*d + 25, 2*d = 4*s + 22. Suppose 0 = -0*t - 5*t - 25. Sort t, 0.5, s in ascending order.\nAnswer: t, s, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:56 PM and 7:51 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + ((sqrt(209)*-2*6)\/(sqrt(99)\/(sqrt(9) - (sqrt(9) - sqrt(36)))) - (sqrt(190) - (-2*(2*sqrt(190) + sqrt(190)) - sqrt(190)))\/((sqrt(30)*-1)\/sqrt(3))).\nAnswer: -16*sqrt(19) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1182594 to the power of 1\/2, to the nearest integer?\nAnswer: 1087","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -406*b - 39167. What is u(-104)?\nAnswer: 3057","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-p + p - 2*p)*(2*p**2 + 3 - 3) + p + p**3 - p + 2 + 2*p**3 - 2 - p**3 + p**3 + 2*p**3.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*b - 7*b - 6*b = 10*v - 6*v + 300, 3*v = -3*b - 228 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (175\/(-3))\/(1392\/(-406)) + -17.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*z = -5*z - 6. Suppose 0 = -z*p + 26 - 2. What is the lowest common multiple of p and 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -5070 - -5210. Suppose 4*l - 2*s = 9*l - 208, 0 = -3*l - s + 124. Calculate the greatest common factor of k and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3 and 398?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -30000 (base 4) to base 16\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z + 6*z - 10 = 0, 5*u + 3*z = 150. Calculate the remainder when 62 is divided by u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 135970 take away -1187670?\nAnswer: 1323640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 2642.9271 months in decades?\nAnswer: 22.0243925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 8) to base 2\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ek when two letters picked without replacement from {e: 6, k: 6}.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 172*l + 638 + 1026 = -572 for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-6)\/(-418))\/(1425\/(-28880)*-32).\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -5, -1\/3, 6888?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4*a + 0*a + 0*a)*(215*a**3 - 4*a**2 + 219*a**3 - 430*a**3 - 18)*(2 + 5 - 5) as y*a**2 + w*a + i*a**4 + n + s*a**3 and give i.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -5516.99984715 + 5517. Round u to six dps.\nAnswer: 0.000153","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-2)\/5)\/(3\/(-45)). Suppose 2*z = -f - m, f + 2*f - z - 3 = 0. Suppose 0 = -f*a + a - 14. What is the greatest common factor of 14 and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) be the third derivative of 43\/30*l**5 + 0*l + 0*l**7 + 0*l**3 + 0*l**4 - 238*l**2 - 5\/336*l**8 + 0*l**6 + 0. Find the third derivative of m(a) wrt a.\nAnswer: -300*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -6233 - -6231. Let v(k) = -17*k - 21. Determine v(n).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.1 or -20543?\nAnswer: -20543","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1236198*z**2 + z + 666194 wrt z?\nAnswer: 2472396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -2\/23, 145\/2, 1\/11, 0.065?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 0*d**2 - d - d**2 + 10*d + 2*d**2 - 7. Give a(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 6.499444 nanograms?\nAnswer: 0.000000000006499444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-89 + 15 + 59 - (-9 - 1)) + -1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.96146 take away -18111226.5?\nAnswer: 18111229.46146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) be the third derivative of 0*y - 1\/12*y**3 - 1\/240*y**5 + 0 - 1\/32*y**4 - 4*y**2. Determine c, given that q(c) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4049381?\nAnswer: 7, 578483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(52) + sqrt(52) + 2*sqrt(5200) + (sqrt(13) + -1 + -2 + -1)**2.\nAnswer: 29 + 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 - 1678554530*n**3 + 1678554523*n**3 + 3.\nAnswer: -7*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -q - 2*c + 11, -5*q - 4*c = -38. Let f be (-4)\/34 + 3016\/493. Let j(p) = -q*p + f*p + 2*p**2. Let x(z) = 6*z**2. What is x(j(d))?\nAnswer: 24*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - 13 = 2*g, 0*g - 2*q = 3*g - 28. Let p(f) = f**3 - 1 + 7*f**3 - f - g*f**3 + 3*f**2 - 3*f**3. Calculate p(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.5 + 1.5. Sort -0.5, g, -2\/15, -2 in ascending order.\nAnswer: -2, -0.5, -2\/15, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-116*v + 31*v + 50*v)*(0*v - v - 7 + 2*v).\nAnswer: -35*v**2 + 245*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 493 minutes after 8:37 PM?\nAnswer: 4:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 293521 < 293521?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*g**3 - 3*g**3 + 0*g**3 - 2*g**3 + 0*g**3 + g**3 + (-2*g**2 + 1 - 1)*(0 + 0 + 2*g) + 5*g - 3*g**3 - 5*g.\nAnswer: -6*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (120\/16 + -7)*0. Factor k + r**2 - 3\/2*r**3 + 0*r + 1\/2*r**4.\nAnswer: r**2*(r - 2)*(r - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (3\/(-2))\/(24\/(-360000128)). Suppose -5*i = 2*c + 22500004, 8*c - s = 5*i + 12*c. What is i rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*y - 5*y + y)*(334*y + 191 + 415 - 598).\nAnswer: -668*y**2 - 16*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (472\/(-1298))\/((-42)\/11).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d\/(d*d*(d*d**(-1)*d)\/d*d*d)*d\/(d\/d**(-4)))**(2\/3)\/(d**2*d*d\/(d**6*d)*d*d)**(-2\/109) assuming d is positive.\nAnswer: d**(-438\/109)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:18 AM and 10:15 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*l - 9 = 5*q + 2*l, -q + 2*l = -3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (4\/50)\/(1\/(-2705)). Let z = k - -224. Calculate the common denominator of 17\/6 and z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 divided by 951843?\nAnswer: 1\/951843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) be the second derivative of -w**5\/60 - w**3\/6 + 11*w**2\/2 + 9*w. Let u(t) be the first derivative of v(t). Differentiate u(p) with respect to p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 128 + -123. What is the tens digit of (201\/39 - k) + 3736\/52?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.02, 1\/305, 0.4 in decreasing order.\nAnswer: 0.4, 1\/305, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 97055\/647 or 151?\nAnswer: 151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -2*j**2 + 15*j + 2364. Let v(k) = -108*k. Give v(u(c)).\nAnswer: 216*c**2 - 1620*c - 255312","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 - 2.7021751198933?\nAnswer: -10.7021751198933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1 + 6. Let j = 7.00096 - a. What is j rounded to 4 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = k**2 - 10569*k - 158515. Give x(-15).\nAnswer: 245","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -211151\/17064 - 2\/2133. Find the common denominator of w and -137\/90.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -426*g**5*u + 3*g**2 - 47*g*u + 2 wrt g?\nAnswer: -25560*g**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = 4*o**2 + o. Let x be g(-1). Let h(a) be the first derivative of 7\/3*a**x - 2 + 0*a**2 - a. Give h(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.05 rounded to 0 dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -51, -46, -39, -30?\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -j**2 - 19*j + 77. Give y(-23).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in 1.7, -138, 47, -8, -4, -5\/2?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*d - 2*d - x - 155, -x = d - 31. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 275182 divided by 5\nAnswer: 275182\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -154 times -0.8\nAnswer: 123.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*t - 2*t - 3*t)*(2 - 3 + 5)*(-9 + 4 - 10)*(5 - 2 - 2) in the form z + g*t and give g.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z + 7 - 32 = 0. Suppose -l = z*q + 10, -4*l + 3*q - 11 = 6. What are the prime factors of (-8)\/l*(-10)\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -229 - -137. Which is bigger: c or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -36*p**4 - 4164*p**3 - 157069*p**2 - 2120170*p - 9333025.\nAnswer: -(p + 47)**2*(6*p + 65)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 6*i*l*r**3 - 1009*i*l*r**2 + 86*i*r**2 - 23*r**3 wrt l.\nAnswer: 6*i*r**3 - 1009*i*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i - 3*p + 8*p + 60 = 0, -2*i - 3*p = -21. Calculate the highest common factor of i and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3)\/(-15)*(-360)\/(-108)*6\/10?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 601703 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1988 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 + 2*v - 1 + (-v + 0*v + 2*v)*(2 - 4 + 3) + (2 - 1 + 0)*(-v + 6*v - 4*v) + 98*v + 148*v - 53*v in the form u + p*v and give p.\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = 1023*q + 12. Let o be b(4). Suppose 3*s + o + 1852 = 5*d, 4*d + 4*s - 4784 = 0. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 1, x: 3, z: 2, i: 1, q: 1, c: 3}. What is prob of picking 1 i, 1 k, and 2 z?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4*3*(-8)\/192)\/(1\/12)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -17, 233\/2, -65, -0.01, -4\/7 in increasing order.\nAnswer: -65, -17, -4\/7, -0.01, 233\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 4860671 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1250)*1)\/(-2*sqrt(1210)) - ((5 + sqrt(605) + 0)**2 + 2*sqrt(605) + -3).\nAnswer: -627 - 2909*sqrt(5)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 227\/((6\/9)\/(10\/(-15))). Let o = -102 - w. Calculate the smallest common multiple of 55 and o.\nAnswer: 1375","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 77*v + 919. Determine d(-12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -28.4 + 28.4. Which is smaller: -2 or t?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 3\/(((-25)\/375)\/(3\/(-27))). Solve -4*b = -5*l + 8, 0*b + 23 = v*l + b for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 383 + -253. What is the least common multiple of 104 and r?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lllljjjlllljljljlll. Give prob of sequence jlj.\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide 354780 by 39420.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*(sqrt(216) - sqrt(216)*2) - (sqrt(216) + 2*sqrt(216))*-3)\/(4*(sqrt(288) - sqrt(288)*2) + sqrt(288) - -6*(sqrt(288) + sqrt(288)*-1)))**2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 4 - 50134454\nAnswer: -50134450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 10, 7, -106, 17, 3.\nAnswer: -106, -3, 3, 7, 10, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 3 - 14342?\nAnswer: -14334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = 31*m**2. Let w(d) = -240*d**2 + 7*d - 21. Let z(b) = -354*b**2 + 11*b - 33. Let t(n) = -22*w(n) + 14*z(n). What is t(h(o))?\nAnswer: 311364*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -1516*l + 36361. Give u(24).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -141913 (base 12) in base 6?\nAnswer: -11102023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 71574674 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -4 (base 10) to base 5\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -544744*g*m + 2*g + 2*m + 801484 wrt m.\nAnswer: -544744*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -75\/268 + 2\/67. Let u = -2.66 - -2.6. Is j >= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 401 = -k, -2*g + 0*g - 4*k = -196. Suppose 6*m - g = m. Does 10 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -316 + 346. Let m(q) = q**2 - 7*q + 8. What is the tens digit of m(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*m + 2*f - 28 = -6, -2*m = -5*f - 5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*i - i**2 - 4 - i**4 - i**4 + i**2 to a*i**3 + m*i**2 + t*i + k + g*i**4 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Are 285 and 286 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 251100, 502202, 753304?\nAnswer: 1004406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-84)\/(-9) + 2\/(-6). Let d(c) = -c**2 - 5 + 3 + 13 + 8*c + 0. Let z be d(k). Solve 3*h + 13 = -z for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 9 - 69*r + 1032*r + 387*r - 12 in the form l + f*r and give f.\nAnswer: 1350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -v - 1. Let k(f) = -f**2 - 2*f + 5. Let l(q) = -k(q) - 6*x(q). Give l(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -300321110 - 10?\nAnswer: -300321120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6090*j**2 - 1972*j**2 + 1925*j**2 + 2503*j**2.\nAnswer: 8546*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 7270 and 16.\nAnswer: 58160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) be the second derivative of -f**4\/12 - 5*f**3\/3 - 5*f**2\/2 - 6*f. Let q be k(-9). Suppose -3*u - q*u = 0. Solve u = -0*g - 5*g - 10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*c**3 - 5*c**3 - 6*c**3)*(0*c - c + 0*c + 4*c - 3*c - 3*c + (5 - 1 - 2)*(-2 + 2 - 2*c)).\nAnswer: 42*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 6\/11 in 2\/9, 0.36, 4, 1?\nAnswer: 0.36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + ((-3 + -3*sqrt(425) - (-3 + 1 + sqrt(425))) + (-1 + -2*sqrt(425)*-2)*-2)**2.\nAnswer: -120*sqrt(17) + 61196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2484 + 2494. Sort 0, -3, 121, w, -4 in decreasing order.\nAnswer: 121, w, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1 + -1 - -3*34. Suppose 102 = 4*q - d. Suppose 3*v - l = q, -5*v + l = -2*l - 81. Is 16 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-7)\/21 - 12\/72)\/(5\/2)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -548756, -548749, -548736, -548717, -548692, -548661, -548624?\nAnswer: -548581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.3 + 2. Let b = -3 + o. Let n = b + 1.2928. What is n rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 3\/(5 - 2)*1. Suppose 0 = -3*j - j. Sort j, k, 3 in descending order.\nAnswer: 3, k, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15244799387 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 31  (b) -1  (c) 0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = 3*c + 5. Sort 5, -3, c.\nAnswer: c, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 10 and 53.\nAnswer: 530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -56678, -56904, -57272, -57782, -58434, -59228?\nAnswer: -60164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) be the second derivative of 1\/225*x**6 + 4\/15*x**2 + 2*x - 13\/45*x**3 - 7\/150*x**5 + 1 + 1\/6*x**4. Factor p(b).\nAnswer: 2*(b - 4)*(b - 1)**3\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -2*f**2 - 2*f + 1. Calculate d(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 11185 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2\/51  (b) 1  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8326 is divided by 2056?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 495 and 508289815?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -767288*q + 767284*q + 18 = -m, 4*m + 38 = -q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*c**4 + 7904*c**3 - 7560284*c**2 - 491763168*c - 7741910178 = 0. What is c?\nAnswer: -31, 2007","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -14744, -14931, -15118, -15305, -15492?\n\"Answer: -187*k - 14557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 5.5629  (b) 45  (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (0 - -4) + 4\/(4 - 0). Suppose q - 4912 = -j, -1 = 2*j + g. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/(-4) + -58*8\/(-288)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 26*z**2 + 46*z**2 - 124*z**2 + 35*z**2.\nAnswer: -17*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -a**2\/11 + 108402*a\/11 - 541985\/11.\nAnswer: -(a - 108397)*(a - 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) be the first derivative of -k**5\/45 + 2*k**3\/9 + k**2 + 80*k - 100. Let l(w) be the second derivative of j(w). Suppose l(d) = 0. Calculate d.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = 12*u**3. Let b be (-5 + 4 - 5)*-1. Let k be 80\/(-24)*b\/2. Let i(g) = -g**3. Give k*i(h) - r(h).\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 836.\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express 194 + 219 - 421 - 39*n**2 + 141*n**2 as h + m*n**2 + s*n and give m.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(11) + -2 + -5 + sqrt(704))**2 - ((2*sqrt(66) + sqrt(66) - sqrt(66))\/sqrt(6) + -3)**2.\nAnswer: -114*sqrt(11) + 887","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -393*t - 33. Let r be b(4). Let l = 2364 + r. Let v = 16691\/22 - l. Calculate the common denominator of -133\/66 and v.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 268 divide 19550332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (504\/240)\/((-1)\/4) + (-320)\/(-32).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 163 - 163.4. What is the closest to 0.14 in 0, z, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 1 + (-3)\/((-108)\/26) and (1 + 1)\/(40\/(-355)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -7 - 5 + 12 + f in the form a + t*f and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -1 - (-2 - (248 - 3)). Suppose -2*m = m - x. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 + 1 + -6 - 3\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -91, -341, -757, -1339?\nAnswer: -2087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2564730 (base 9) in base 3?\nAnswer: 2122011211000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 2, 35, -2, 5 in decreasing order.\nAnswer: 35, 5, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 368 - 366. Let r be 7 + -8 + 0\/q. Let m be 2\/8*16\/(-14). Which is the second smallest value?  (a) 1\/6  (b) m  (c) r  (d) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:26 AM and 9:21 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(1 + 2*sqrt(108)).\nAnswer: 5 + 60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) be the first derivative of -51*s**2\/2 + 2*s + 6. Let w be f(-1). Round w to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000037342965 rounded to 7 decimal places?\nAnswer: -0.0000373","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 44 - 50. Calculate the remainder when 625\/11 - t\/33 is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 296 minutes before 2:29 PM?\nAnswer: 9:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -23207161*h**3 + 26464485?\nAnswer: -69621483*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -80257*h - 28. Let j be x(-4). Let k be ((-17)\/((-357)\/(-560)))\/((-1)\/j). Round k to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2, -2.86418, -0.3, -0.5?\nAnswer: -2.86418","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 1\/(-2)*(96\/6)\/(-8)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3250 (base 10) to base 4.\nAnswer: 302302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 32597?\nAnswer: 37, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*h - 5*u = 7*h + 15, -2*h - 4*u = -2. Suppose 6*w - 3*t = w + 289, 0 = h*w - t - 283. Let g = 23 - 15. What is the greatest common factor of g and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from pipiiiip?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r = c + 135, -2*c + 5*c + 339 = 5*r. Let m = r - 59. Let x(o) = -2*o**3 - 4*o**2 + 5. Let i(y) = -y**3 - 2*y**2 + 3. Determine m*i(h) - 4*x(h).\nAnswer: h**3 + 2*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1a + -24?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 120227 and 109?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 1640 to the nearest one hundred.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (392\/(-18))\/(-4) - (-1 - -2). What is u in -50\/9*u**5 - 16\/9 + 142\/9*u**3 + 20\/9*u**2 - a*u**4 - 56\/9*u = 0?\nAnswer: -2, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 48 and 208.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 6 - 8. Let n(b) = -10*b. Let q(p) = -7*p. Let w(k) = 5*n(k) - 7*q(k). Calculate w(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -24 + 24.4. Sort u, 5\/4, 1 in increasing order.\nAnswer: u, 1, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 8 - 7. What is the tens digit of (1*-13)\/(b - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a - 11 = 3*b, -5*b - 4 = a + 17. Suppose -76*o + 137*o = 183. Solve -f = -a*f + o for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -50*w + 21 + 29 - 612*w - 15. Is f(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1084 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -12 + 1122?\nAnswer: 1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = v**2 + v + 1. Give h(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 99 = -201*y - 603*y + 248*y - 1569 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-38)\/190*15\/2*(-6)\/(-36)*68?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*o**2\/9 + 89182*o\/9 - 50992820\/3 = 0.\nAnswer: -46245, 1654","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 48.08*-4.\nAnswer: -192.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 128\/5 + (-4)\/(-10). Suppose -o = -3*t + 4*h, -4*t + 5*h + 33 = -0*h. What is the derivative of -l**3 - 4 - l**3 - l**3 - t*l**3 wrt l?\nAnswer: -15*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3446605?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -c - 4*c + 10 = -n, n + 2*c = 4 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) be the third derivative of -1\/420*g**6 + 3*g**2 + 1\/84*g**4 + 0*g + 2\/21*g**3 + 0 - 1\/105*g**5. Solve c(t) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {i: 9, e: 5}?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -101*n - 39*n - 3432 = -52*n for n.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*f*f**(-2)\/f*f)**(-4) assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*j - 10*j - 13*j.\nAnswer: -27*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) be the third derivative of -1\/6*j**3 + 1\/15*j**5 + 0*j - 1\/120*j**6 + 13*j**2 - 1\/24*j**4 + 0. Let g be v(3). Solve h - g*h + z = -9, 3*z = -3 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -367, -3\/4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 91, 0.4, 1.9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -4, -53, 4, -2 in descending order.\nAnswer: 4, -2, -3, -4, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.15 * -3.\nAnswer: -0.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*w + 109 = -131. Let q = w + 33. Suppose -5*u - k + 898 = q*k, -4*k = 4*u - 720. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 87 + 259 = 240*x - 134 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*a + 27 = -17. Suppose 2*u - 5*u - 54 = 0. Sort u, a, 0 in decreasing order.\nAnswer: 0, a, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-3)\/9 - (-1614)\/(-4). Let m = 403 + l. Let o = 299\/2 + -149. Which is the nearest to o?  (a) 2  (b) -0.4  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -15*t**2 + 9*t + 13. Determine f(-3).\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 2, a: 1, q: 1, g: 4}. Give prob of picking 1 l and 1 a.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -239*k**2 - 382*k**2 + 1489843*k - 1489843*k.\nAnswer: -621*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.155 - -0.655. What is the third smallest value in g, -2\/29, 0.4, -2\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*t + 2*t - 3*t + (4 + 2 - 4)*(-5*t + 0*t + 3*t) + (t + 2*t + 0*t)*(6 - 2 - 2) + 0*t + t + 0*t.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) be the first derivative of 3*o**2 - 3\/5*o**5 + o**3 - 4 + 0*o - 3\/2*o**4. Determine m, given that z(m) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -1\/4, 25.28, 3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -1101322121 (base 4) in base 13?\nAnswer: -b9939","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 2 = 0, -15073 = 5*v + 6*u - 7*u. Let d = -1687 - v. What are the prime factors of d?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v - 50 = -5*g, -v + 6*v + 34 = -3*g. Let n = v + 11. Solve -n*w - 15 = -6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -17 + 16.8. Let i = v + 0. Is i greater than or equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 5*o - 8. Let y be s(14). Let a = y + -12. Suppose 0 = 5*n - a - 20. What are the prime factors of n?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 - -6 - -6) + -1 - (42 + -41)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.33  (b) 4  (c) 0  (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 36 a factor of 880992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 11146305259 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*d + 142 - 249 + 158 = 0. Solve 0 - i**2 + 1\/3*i**d + 0*i = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1861565947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -132517, -132523, -132529, -132535?\nAnswer: -132541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = f - 54. Let r be o(25). Let a = r - -395. What is the hundreds digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) be the third derivative of -p**4\/24 + 30*p**2 + p. Let j(h) be the third derivative of -h**4\/8 + h**3\/2 - 2*h**2. Give 4*b(u) - j(u).\nAnswer: -u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -65, 0, 1, 2 in decreasing order.\nAnswer: 2, 1, 0, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 94918 is divided by 1032.\nAnswer: 1006","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 67492, 135040, 202588, 270136, 337684, 405232?\nAnswer: 472780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = 79265*u + 316919. Give d(-4).\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17962935 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1285 and 55903154.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10*(-2)\/10*((-500)\/(-85) + -6).\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 2516652 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.4?  (a) 63  (b) 0.4  (c) 4  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) -0.3  (b) 0.4  (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6 + (0 + (-14 - -5) + 16 - -43) + 8.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -760\/17 in 2\/11, 2, 0.135, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = 6916426*l. Let w(d) = -39*d. Give w(v(q)).\nAnswer: -269740614*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 401 minutes after 5:25 PM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 0*w**4 + 8*w**4 - 9*w**4 + 4*w**2 + 0*w**3 + 207*w**5 + 0*w**3 + 7*w wrt w.\nAnswer: 12420*w**2 - 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 29 + -28.9999888. What is i rounded to six decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = v**2 + 37*v - 2255. Determine t(-67).\nAnswer: -245","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 2\/4 + (-193)\/(-2). Let z = -69 + s. Does 14 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16486511 is divided by 89.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -962*r - 3816. Let q be s(-4). Let m be (-6)\/(-9)*(1 + -4). Which is the biggest value?  (a) m  (b) q  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -40990 - -0.0818212.\nAnswer: -40989.9181788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -20, -15, -10, -5, 0?\n\"Answer: 5*k - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u = -10360 + 1534. Suppose 0 = -435*b + 437*b - u. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 549\/4 + -137. What is the closest to f in 2, 4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 11, 8, 9, 20, 47, 96, 173?\nAnswer: 284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/(c*c**(-4)*c))**(-8)\/(c**12\/c)**35 assuming c is positive.\nAnswer: c**(-409)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-34)\/51 + (-16)\/(-6). Suppose -3*v = 4*i - 301, -204 = -j*v - 0*v - i. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -x**3 - 133330*x**2\/3 - 1481362964*x\/3 + 987634568\/3.\nAnswer: -(x + 22222)**2*(3*x - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3)\/(-12)*11\/(-22)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -z**2 + 4*z + 4. Let v be (-12)\/(-42) + (-82)\/(-7). Suppose -o - v = -4*o. What is the lowest common multiple of 4 and t(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -57*s**2 + 6130*s - 3261. What is g(107)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -446 by -6.\nAnswer: 223\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3769?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*o**4 + 4*o**2 + 12 - 5*o**4 - 5*o**2 + 14*o**3 - 13*o**3 wrt o.\nAnswer: -72*o + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1\/((4\/(-102))\/((-20)\/(-30)))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 660 minutes after 9:58 PM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 7604004781 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand 14*o**2 + 17*o**2 + 16*o**2 - 2*o**2 + 2*o**2 + o**2 + (o + 0 + 0)*(-5*o + 3*o + 3*o).\nAnswer: 49*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -22?  (a) -0.1  (b) 3\/2  (c) -0.2  (d) 79\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -770*n + 25413. Give u(33).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 45\/2 of a week?\nAnswer: 3780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) be the third derivative of o**4\/12 + o**3\/2 + 27*o**2. Let x(f) = -13*f - 17. Calculate 34*n(k) + 6*x(k).\nAnswer: -10*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -55*n = 4 - 4. Let m(j) be the third derivative of n + 0*j**3 + 1\/72*j**4 + 7*j**2 + 0*j - 1\/720*j**6 - 1\/360*j**5. Factor m(x).\nAnswer: -x*(x - 1)*(x + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2752 and 10.\nAnswer: 13760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 158373280 to the nearest integer?\nAnswer: 541","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + l + 4*o = 60, -5 = -o. Let d = l + -16. Let x be ((-39)\/d)\/(2\/4). Solve 0*z - 3*z - x*n + 21 = 0, -z + n = 1 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 7075, 28453, 64077, 113941, 178039, 256365?\n\"Answer: -h**3 + 7129*h**2 - 2*h - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((33\/77)\/((-81)\/(-126)))\/((-50)\/(-6)). Sort -3, -0.4, n, -2\/19, -601 in decreasing order.\nAnswer: n, -2\/19, -0.4, -3, -601","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (1\/3)\/((-3)\/(-54)). Suppose -p*v + 140 = -2*v. Let w = 56 - v. What are the prime factors of w?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*m**2 - 3*m**2 + 5*m**2)*(5*m**3 - 5 + 5).\nAnswer: -10*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = c. Let f(s) = -2*s. Give -6*f(h) - 14*o(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2850 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 646, -9, 1\/5, 331\/14?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 564 minutes before 2:38 PM?\nAnswer: 5:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2110 + 110?\nAnswer: 2220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*g**2 - 4*g - 143*g**4 + 142*g**4 + 2*g - 2*g**2 - 12*g**3 to k + z*g**3 + t*g**2 + w*g + v*g**4 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(242) - (3 + sqrt(242))) + -5 + -5)**2 + -4 + ((-1 + sqrt(242))*3)**2 + sqrt(242).\nAnswer: -187*sqrt(2) + 2352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2 + 1. Let q = 64.9931 + 0.0069. Let n = q - 65. What is the nearest to n in -0.2, -2, w?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.8 + 0.83. Let p = u - 0.43. Which is the smallest value?  (a) p  (b) 2\/5  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 705 minutes before 4:18 AM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 282421 is divided by 869.\nAnswer: 865","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2156743*u**2 - 717363 with respect to u.\nAnswer: 4313486*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -68.49 - -0.03\nAnswer: -68.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 376, 751, 1126?\nAnswer: 1501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*r + 963 = -r. Suppose -r = k - 516. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (0 + 3 - 9\/2)\/(77\/(-154)). Let z(q) be the second derivative of 12*q - 11*q**2 - 7\/3*q**f + 0. Find the first derivative of z(a) wrt a.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2216 and 1939?\nAnswer: 15512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-40)\/45 - 4730\/(-4950).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6837 is divided by 1704?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = 5*f - 92. Determine r(21).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-2)\/(-8) - 875\/(-20). Let v = 167 + c. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -60 + 130 - (11 + 36)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 68*o - 688 - 944. Let l(m) = 2*m**3 - 47*m**2 - 23*m - 20. Let h be l(o). Which is greater: h or -45?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 68151608 and 3776.\nAnswer: 545212864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -200 = -642*f + 682*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 103436, 206874, 310312?\nAnswer: 413750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.546617363 rounded to two decimal places?\nAnswer: 1.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/5 in -0.1, -1, -4, 1\/12?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 69878*-28.\nAnswer: -1956584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 4*q - 68400015 = 0. Suppose -5*h = 3*g - q, -2*h = -g - 4*g + 37999998. Suppose -5*w = -w - g. What is w rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 15 + -5. Suppose 12*y = k*y + 218. Suppose -y = -3*a + q, -5*a + q = -94 - 87. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.01053 take away -1.0724?\nAnswer: 1.06187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m = -4*w + 20, 0 = w + 2*m - 1 - 19. Suppose -w*x - 117 - 23 = 0. Which is smaller: x or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t - 4 = -2*t. Let n(w) = -w**3 - 4*w**2 + 2*w + 4. Let k be n(t). Let f be (3 + -2)*k\/4. Do f and 1\/6 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tu when two letters picked without replacement from mqltu?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -86.091 - -0.091. Let o = d + 86.47. Round o to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*y = 3*y - 4*w + 7, -2*y - w = -8. Suppose -y*n = -50 + 15. Calculate the remainder when 14 is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 121*n - 72*n = -133 - 161 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*n - 4*m + 39 = 7*n, -133 = -3*n - 4*m. Suppose 0 = -9*x + n + 214. Calculate the remainder when 171 is divided by x.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -2*i + i. Differentiate -i*h**3 - 33 - 7*h**3 + h**3 - 5*h**3 with respect to h.\nAnswer: -63*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -290 + 764. Let k be 2\/(-8) + x\/(-24). Calculate the remainder when 17 is divided by (-128)\/k + 4\/(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -75*q + 59. Give m(2).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -89*q - 51*q - 2*q**2 + 6*q.\nAnswer: -2*q**2 - 134*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wiywwwilyillliiwl. What is prob of sequence ywi?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -5*g + 12. Let t be k(2). What is the second biggest value in -11, t, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 74 and 28786?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is -1511 less than -1512?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -l**2 + 25*l + 189. Let u be i(31). Suppose 0*j - j + 4 = 0. Suppose j*z = -b - 2*b - 10, z = -2*b. Which is greater: u or b?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 258d (base 15) to base 7\nAnswer: 32230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) be the second derivative of h**5\/20 - 2*h**4\/3 + 3*h**3\/2 - 5*h**2 + h - 67. What is l(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 111000101010100 (base 2) to base 4.\nAnswer: 13011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h - 2 = 2*o, -4*o + 0*o + 23 = h. Suppose 2*n = -9 + h. Sort 5, 0, n.\nAnswer: n, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/(j**(1\/7)\/j))\/(j*(j*j\/(j**(1\/13)*j))\/j)*(j\/j**(1\/3))**(-22\/5) assuming j is positive.\nAnswer: j**(-2729\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -579 * 0.1\nAnswer: -57.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let 34\/9*c - 4\/3 + 8\/9*c**3 - 10\/3*c**2 = 0. What is c?\nAnswer: 3\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*m**2\/4 - 2815635*m\/4 + 2815641\/2.\nAnswer: -3*(m - 2)*(m + 938547)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 20761*c - 20757*c - 4*s, -2*c - 154*s = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 12114 (base 12) to base 16\nAnswer: 5f20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -2*m**3 + 3*m**2 + 3. Let n(w) = 5*w**2 + 42*w + 14. Let y be n(-8). Let z be y\/7*(-10 - -17). Let k(h) = h**2 + 1. What is z*u(g) + 6*k(g)?\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 11 - 14. Let h(m) = -m**3 + 5*m. Suppose 4*a = 2*a + 4, -2*b + 5*a = 0. Let p(r) = 3*r. Give b*p(t) + i*h(t).\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 173704 and 195417.\nAnswer: 1563336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) be the third derivative of 2*n**7\/105 - 9*n**6\/40 - 79*n**5\/10 + 2*n**2 - 225. What is the third derivative of o(b) wrt b?\nAnswer: 96*b - 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(-6*-1*sqrt(136) + sqrt(136)))\/(sqrt(8) + -1*sqrt(392) - (sqrt(1152) - sqrt(1152)*-2 - sqrt(1152))).\nAnswer: -7*sqrt(17)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6896 - 2.\nAnswer: 6894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -5932510 divided by 1\nAnswer: -5932510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -5*w - 1. Let j(b) = -1043*b - 3. Give -j(c) + 2*m(c).\nAnswer: 1033*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 44 and 872938.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1583387.\nAnswer: 13, 31, 3929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 0.133*-26\nAnswer: -3.458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 298\/10 - 5\/(-25). Suppose -5*p = 10 - x. What is the highest common divisor of p and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*i = -11*i + 60. Suppose -i*m + 19*m - 136 = 0. Let k(c) = -c**3 - 4*c**2 - 5*c - 4. Calculate the smallest common multiple of k(-3) and m.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (5\/3)\/(22\/66). Suppose -l*p = 2 - 2. Suppose p = x - 4 + 6. Sort -4, x, -1 in increasing order.\nAnswer: -4, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1, 0, 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 322 = -0*g + 7*g. What is the remainder when g is divided by 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -5, -17, -35, -59, -89, -125, -167?\n\"Answer: -3*i**2 - 3*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 3\/5  (b) 3  (c) 1  (d) 6\/8545\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 7, 3, -8, -171, 6, 5.\nAnswer: -171, -8, 2, 3, 5, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -0.3  (b) -3.43  (c) -0.2  (d) 12375  (e) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*k**3 + 5195*k**2 + 24595*k - 8775 = 0 for k.\nAnswer: -5, 1\/3, 351","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -158 - -391.\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 4*s + 9. Let r be 5 + 9*(11 + (-272)\/24). Let o(c) = -5*c + 2*c + c - 4. What is r*u(d) + 5*o(d)?\nAnswer: -2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (-21)\/(8\/8 - 4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 1929, 108 in increasing order.\nAnswer: 5, 108, 1929","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -759386 divided by 2?\nAnswer: -379693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.3 + -0.8. Let t = -0.1 - i. Let b = -4142\/25 - -45712\/275. What is the closest to 0.1 in b, 2, t?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*f**3\/9 + 362*f**2\/9 + 17888*f\/9 + 14792.\nAnswer: 2*(f + 9)*(f + 86)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.006730828 to four decimal places.\nAnswer: -0.0067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 (base 10) in base 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 226, 3, -2, 4, 1.1 in descending order.\nAnswer: 226, 4, 3, 1.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 153434?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rnyy when four letters picked without replacement from npyrryrrpnyb?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-25)\/15)\/(335\/8241)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -28 + -359219?\nAnswer: -359242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2\/87, -2\/11, 0.2, -2\/7, 2\/9?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = g + 15. Let i be h(-11). Suppose 4*m - 16 = i. Suppose -m*r + 180 = 3*f + 27, -4*r - 4*f = -124. Is 10 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 254 minutes after 6:47 PM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 3\/5 of a microsecond?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 207 minutes before 12:29 PM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 354 - 132. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -7*w - 8. Let n(m) = -34*m - 39. Let g(r) = -11*f(r) + 2*n(r). What is the first derivative of g(b) wrt b?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 79915978?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 8 and 1200240.\nAnswer: 1200240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + 2 + 11 + -3 - (29 + 62 + -77).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ohh when three letters picked without replacement from {m: 4, j: 2, h: 2, o: 10, l: 1}.\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from wwwwhwwwwwwwwwwwwww?\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = b**2 + b - 1. Let x be y(-2). Is 24 a factor of 32\/6*9\/x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) be the first derivative of 642*r**5\/5 - r**2 - 52*r + 293. Find the second derivative of n(t) wrt t.\nAnswer: 7704*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*z**3 + 3*z - 29*z + 19*z to j*z**2 + y*z**3 + q + d*z and give d.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 49404045?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 77304, 77310, 77320, 77334, 77352?\n\"Answer: 2*r**2 + 77302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4560 and 8560?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 6\/5 of a microgram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 83.40901 grams in milligrams?\nAnswer: 83409.01","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 7456 (base 10) to base 16\nAnswer: 1d20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 78231.78 meters in centimeters?\nAnswer: 7823178","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (24\/30)\/(2\/5). Let n(x) = -x**2 + 2*x + 3. Let o be n(3). Suppose 0*l - k*l + 12 = o. Solve 4*p = -l - 14 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/5)\/(((-3)\/9)\/(70\/(-126)))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 22163736 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: Simplify 5*((sqrt(1573) - 1*(sqrt(1573) + 1))*-5)**2 + 0 + (sqrt(39)\/(sqrt(3) + (sqrt(3) - sqrt(15)\/sqrt(5))*-3) + -1)**2.\nAnswer: -2*sqrt(13) + 139","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:16 PM and 9:02 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 971, 982, 995, 1010, 1027?\n\"Answer: h**2 + 8*h + 962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -2\/19  (b) -0.3  (c) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 8.8 + -9. Let i = -0.467 + 1.467. Which is the third smallest value?  (a) i  (b) 1\/5  (c) 3  (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -2\/13, 104, 0.2, 0.5, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -y**3 - y + 1. Let q(z) = -z**3 + 7*z**2 - 7*z - 2. Let p be q(6). Let h(f) = f + 9. Let k be h(p). Calculate x(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1407564523 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2  (b) -7.57  (c) 46132\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) be the first derivative of d**3 - d**2 + d + 1. Let j be w(1). Solve -j*b = -3 - 3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s**3 - 18*s**2 - 224*s = 0. What is s?\nAnswer: -7, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 2856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:20 PM and 12:10 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -1171, -2437, -3801, -5257, -6799, -8421, -10117, -11881?\n\"Answer: s**3 - 55*s**2 - 1108*s - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 496530718.\nAnswer: 2, 43, 107, 53959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8578*u - 8207*u = 12243 for u.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s + 14 = 2*d, -4*s - 107*d = -105*d - 20 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 111011001110110 - 10?\nAnswer: 111011001110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -8162704, -16325393, -24488082, -32650771, -40813460, -48976149?\n\"Answer: -8162689*x - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 709 minutes after 8:11 AM?\nAnswer: 8:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:27 PM and 4:18 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -45 = -211*a + 202*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*j + 8 = 12*j. Suppose j*n + 27 = 175. Is n a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0011301174 rounded to five decimal places?\nAnswer: 0.00113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 62 - 22 = 0. Let n be (-1 - -2)\/(5\/j). Suppose -2*a + 172 = 4*d + d, n*a = 5*d - 166. What are the prime factors of d?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 534741 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = 7*g - 3. Let y(s) = 20*s - 8. Let l(i) = -17*h(i) + 6*y(i). Let j be l(2). Let d(r) = -4*r**3 + 4*r**2 + 0*r**3 + 2 + 3*r**3 + 4*r. What is d(j)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5 by -24.\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1106?\nAnswer: 2, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-25*l - 9*l + 2*l)*(-9*l - 15*l + 2*l)*((-2 + 2 - 1)*(1 - 1 - 1) + 0 - 1 + 2).\nAnswer: 1408*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 2024.8 rounded to the nearest 10?\nAnswer: 2020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.154603338 to four dps.\nAnswer: -0.1546","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 757.3389cm?\nAnswer: 7.573389","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 96 and 16?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.16 - 18.84. Let y = 19.06 + q. Round y to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -24*p - 5*p - 110 - 6. Put -3, 3, p, 170 in ascending order.\nAnswer: p, -3, 3, 170","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i + r - 9 = 3*i, -2*i - 2*r = -8. What is the second derivative of -4*g + 0*g**5 + 0*g**i - 5*g**5 + 2*g**5 wrt g?\nAnswer: -60*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1*9\/(-6))\/(14\/84)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 0\/1 + 4 + -1. What is the third derivative of -7*n**2 + 2*n**2 + 15*n**x - 12*n**3 wrt n?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9 - (3 - (-8 + 7))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 842 + 392. What are the prime factors of x?\nAnswer: 2, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 2*x**2 + 8*x. Let n(a) = a. Suppose -6*h - 7*h + 13 = 0. What is h*y(z) - 4*n(z)?\nAnswer: 2*z**2 + 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -159*u**4 - 2*u**3 + 2*u**3 + 68*u**4 - 2*u**2 - 114*u + 51*u**4 wrt u?\nAnswer: -480*u**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -162*m**4\/11 - 65160*m**3\/11 - 14474*m**2\/11 - 804*m\/11.\nAnswer: -2*m*(m + 402)*(9*m + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*u**3 + 61*u**2 - 484*u wrt u?\nAnswer: 12*u + 122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((72\/(-162))\/((-6)\/(-9)))\/(-2).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w**2 - 190*w - 185 = 0. Calculate w.\nAnswer: -37, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -37 - -44. Suppose 6 - 27 = -y*g. Suppose -g*m + 0*m = -390. What are the prime factors of m?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 12127139*o**5 - 10847486*o wrt o?\nAnswer: 242542780*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -3350, -22, 0.1308?\nAnswer: -3350","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1740 divided by -348.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = 2*b**2 - 3*b - 3. Let u(k) = -k - 1. Let m be (-1)\/(((-68)\/(-102))\/(8\/(-6))). Give m*j(a) - 6*u(a).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m**(-8))\/m*m**(2\/3)*(m\/m**0*m)\/(m\/m**8)*((m\/(m*m*m**(-1)*m))**(1\/2))**13 assuming m is positive.\nAnswer: m**(-29\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (102\/17)\/((-3)\/6*-2). Solve 0*d + f*d - 30 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-26)\/(-78))\/(2\/12*-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rj when two letters picked without replacement from {r: 6, g: 9, v: 1, j: 2}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -1 + (-3 - -12)\/3. Suppose 0 = -d*h + h - 45. Is (272\/(-10))\/(18\/h) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 5*((2 - -1) + 0). Suppose -v + r + 6 = 0. What is the greatest common factor of v and 147?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 14\/(-20) - (-45)\/30. Which is the third smallest value?  (a) 17  (b) -1  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1410?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*g**2 - 3*g**2 - 2*g**4 + (-4 + 6 - 3)*(-5 + 4 + 9)*(5*g**3 - 17*g**4 - 5*g**3).\nAnswer: 134*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Are 5 and 268 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 3298 - 0?\nAnswer: 3298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 33\/2 + -16. Is -4 at least t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*y + y + 4 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 4\/24 - 897\/(-234). What is the smallest value in -3.9, -0.1, c?\nAnswer: -3.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*q + 1 - 1)*(-2*q + 4*q - 3*q) - 6*q**2 + 3*q**2 + 2*q**2 - 2*q**2 + 5*q**2 - 2*q**2 + 0*q**2 - 2*q**2 - 3*q + 20 - 19.\nAnswer: -4*q**2 - 3*q + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.09 * 123.069.\nAnswer: -11.07621","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 11*c - 1 + 0*c - 2*c.\nAnswer: 9*c - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -5972 + -16916. Let u = y - -41390. Suppose x - 7396 = -2*q - 3*x, 2*x + u = 5*q. Round q to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:59 AM and 5:15 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 + 3 + (-2 - -15).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d = -0*o + o + 941, -2*o = 10. Let n = d - 103. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 3, k: 2, z: 1, t: 7, l: 1, g: 3}. Give prob of sequence tt.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 814321 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 5465, 10933, 16401, 21869, 27337, 32805?\n\"Answer: 5468*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 50 + -46. Let q be ((-2)\/x*0 - 0) + -41. Let d = -39 - q. Solve -g = -d*g + 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let l be 4 - (-233 - 12\/4). Calculate the greatest common factor of 40 and l.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 4 + -322603?\nAnswer: -322577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 17279678?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -17, 19, 85, 181, 307, 463?\nAnswer: 649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = l**2 + 33*l - 418. Suppose j = 2*c - 3*j - 44, 42 = 2*c - 3*j. What is the least common multiple of c and k(10)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 50 and 35?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:49 AM and 6:39 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 474 minutes before 12:03 PM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 2*q + 3*s, 2*q + 1082 - 1081 = s. Suppose q - 5\/4*p**2 - 5*p**3 + 5\/4*p**4 + 5*p = 0. Calculate p.\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -17*m - 2*m**2 + 17*m. Let g(r) = -r**2 + 3*r - 2. Let y be g(2). Suppose 0 = b + 3*b + 16, y = 3*z - 5*b - 23. Determine h(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 73\/1644 and -49\/44?\nAnswer: 18084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = c**2 + 18*c - 35. Let p be v(-18). Let t = -60 - p. Let d = 105 - t. Is 26 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7930965514*a**3 + 371*a**2 - 372*a**2 + 7930965519*a**3.\nAnswer: 5*a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*d**3 - d**3 + 6*d**3)*(3 - 1 - 1)*(-2 - 3 + 3)*(3 - 2 + 0).\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.11 in 0.338, -26, -0.4, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*b + 236 + 556 = 0. What is the least common multiple of b and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -79970122.1 rounded to the nearest one thousand?\nAnswer: -79970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-4)\/10)\/(8\/40). Let u(c) = -5*c**2 - 3*c + 6. Let x(t) = 4*t**2 + 2*t - 5. Let v(q) = 3*u(q) + 4*x(q). What is the units digit of v(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 33215 is divided by 664.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -2*f**2 - f + 2. Suppose -395*r + 5*a = -394*r + 23, -4*r - a - 8 = 0. Calculate l(r).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 4 - 365?\nAnswer: -361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 7 (base 13) to base 2\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -8582 divided by -94\nAnswer: 4291\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4337487*s = 4337515*s - 1064 for s.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9962969.\nAnswer: 17, 586057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -2*m. Let y(c) = 12*c + 6. Let n be y(2). Let f(l) = -3*l - 27 - n + 57. What is f(k(b))?\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 0.42 * 40\nAnswer: 16.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 6820363 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: Convert 2b51 (base 13) to base 6.\nAnswer: 45131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-221)\/884*2*-5*(-12)\/(-555)?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q = 1 - 3. Suppose -q*v = -v - 3*k - 2, 4 = 2*v - 4*k. Suppose -2*l + 3 = -5, 3*t = -4*l + 34. Calculate the least common multiple of t and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.3, -11\/5, 0.6, 3\/8, -7\/4, 2?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 90eb + 52?\nAnswer: 913d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -38 + 54 = 16*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 10839?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/(15\/(-10)*(-4)\/(-10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 490 minutes after 12:05 AM?\nAnswer: 8:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 580609849 to the nearest integer?\nAnswer: 24096","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 586 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3209?\nAnswer: 3209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 357063?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (16\/8)\/1*(-2)\/1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3255 = -206*w + 185*w. Calculate the remainder when w is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -h*j*l**3 - 76*h*j*l**2 - 16*h*j*l + 12*h*l**2 - 128899*j*l**3 - 17*j*l + 32*l**3 wrt l.\nAnswer: -6*h*j - 773394*j + 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -18\/13 and -25\/234.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-2\/17)\/w)**(-14)*((w**(-1\/9)\/w)\/w)\/(w\/w**(1\/9)) assuming w is positive.\nAnswer: w**(215\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*z - 14407 = -13307 for z.\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 224847?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -778.073 rounded to 0 dps?\nAnswer: -778","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 1130*t**2 - 46330*t + 3. Give k(41).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -i - 2. Let k be j(-2). Sort -2, 5, k in descending order.\nAnswer: 5, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/t**(-1\/2))**(-38)*t**(-1\/5)*t**(-1) assuming t is positive.\nAnswer: t**(-291\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000109072 to six dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-66)\/240)\/((-16)\/(-20)). Let i = m - -141\/224. Let t = -0.4 + 0.6. Which is the third biggest value?  (a) 3  (b) i  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(17)*5 + (sqrt(17)*1 + sqrt(17))*5 + sqrt(17))**2.\nAnswer: 7497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 5*s**5 + s**4 - 37780*s**2 + 484*s + 1033 wrt s?\nAnswer: 100*s**3 + 12*s**2 - 75560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: ((-66)\/(-99))\/((-67)\/(71757\/34))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*g - 11*g - 4*q - 8, q = 2*g - 8. Let t(x) be the first derivative of -5\/4*x**4 + 0*x**3 + 6*x + g + 0*x**2. Differentiate t(k) wrt k.\nAnswer: -15*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g = -5*y + 16, 2*y + 11*g - 12*g = 4. Let a = 11 + -6. Solve -y*x = a + 3 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -363*l - 402*l - 1232 = -853*l for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (7 - -2) + 30 + -50.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -2*m - 7. Let c be x(0). Let b be (-462)\/(-98) - 2\/c. Find the first derivative of 50*h - 29*h + b + 3 wrt h.\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 20 + 20 + -23 - 8?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -2a02 - -15?\nAnswer: -29dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -21, -1, 6, 163\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 12326, 12780, 13238, 13700?\n\"Answer: 2*z**2 + 448*z + 11876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 60 and 870.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -128 = -3*n - 2*h, -4*n - 5*h = -0*h - 173. Is 14 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/(((u\/((u*u**4)\/u*u*u)*u)\/u)\/u))\/(u*u**(-14))*(u\/(u\/u**(-7)))**(-28) assuming u is positive.\nAnswer: u**216","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n - 3*z - 1596 = 2614, -4*n - 3*z = -3341. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1939 - 368*p + 1923 + 369*p + 5*p**2)*(-4*p**2 + 4 - 4).\nAnswer: -20*p**4 - 4*p**3 + 64*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) be the first derivative of 5*l**2 - 2*l + 521. Give g(-4).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/12*(-8)\/(-204)*-9?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) be the first derivative of 32*x**4 - x**2 + x - 4. Suppose 3*t + 2*t - 5 = 0. Is h(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 312825804 divided by -5488172\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 34930, 69897, 104864?\n\"Answer: 34967*b - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*y + 4*q - 170, 268 = 4*y + 2*q - 7*q. Suppose 2*o = y - 10. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from aaeiaaaex. What is prob of picking 1 a and 1 x?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 70*2.37\nAnswer: 165.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3 + -1 - 1 - -1) + 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = 9*h - 6. Determine a(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ip when two letters picked without replacement from {p: 5, i: 11}?\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 184 and 7513433?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/2?  (a) -2\/5  (b) 177  (c) 0.062\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*i - 9*i + 14*i + 5*i - 2*i.\nAnswer: 21*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from sjjsjsmjjjtj. What is prob of picking 3 j and 1 t?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.27 - -0.23. What is the closest to 0 in -5, 2\/11, d?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 3*q - 0. Let o = -0.86 - -10.56. Let x = o + -10. Which is the nearest to q?  (a) 2\/7  (b) x  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 41 - 36. Solve x*h + 19 = 4*h + 5*w, -1 = -5*h + w for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 1450721?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide 355044 by 4.\nAnswer: 88761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 100001111 (base 2) to base 15\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 44 - 3*s + 5*s - 24 - s. Calculate the smallest common multiple of 18 and t(-10).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zizizzi. What is prob of picking 2 i?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 9496 divided by -2374\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 3771, 3784, 3801, 3822, 3847, 3876?\n\"Answer: 2*s**2 + 7*s + 3762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 12 - ((-6136)\/(-65))\/8 - 1380\/150\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -4*c**2 - 3*c. Let g(w) = -8*w**2 - 5 - 3 + 9 - 5*w. Let n be 1 - 1*-2 - 0. Let a(q) = n*g(q) - 5*t(q). Find the first derivative of a(x) wrt x.\nAnswer: -8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o = -3*r - 6, 2*o = -3*o + 3*r + 6. Let n = 2 + o. Let g = -2 + 0. Put -0.3, g, n in descending order.\nAnswer: n, -0.3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -10\/7*u**2 + 16\/7 - 4\/7*u - 2\/7*u**3.\nAnswer: -2*(u - 1)*(u + 2)*(u + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 - 5 = 3*n + 3*z, 0 = -4*n - 3*z + 17. Suppose 3*d**n + 9*d - 4*d**2 - 6*d - 4*d = 0. What is d?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -6*c - 6. Let d(l) = -4*l + 1. Let i(f) = f. Let a(o) = d(o) + 5*i(o). Calculate 34*a(r) + 6*g(r).\nAnswer: -2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*g - 101 = 3*q - 107, 0 = -5*g + 3*q - 14 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 8\/15 of a millennium?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v**2 + 1923692*v - 42323160 = 0. Calculate v.\nAnswer: -480945, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence eoh when three letters picked without replacement from {o: 4, e: 3, u: 1, h: 5}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 663828?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.96 - 0.04. Let f = b + 0.6. Sort 1, f, -3\/7 in increasing order.\nAnswer: -3\/7, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 455 and 70?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -151, -144, -129, -106, -75, -36?\n\"Answer: 4*t**2 - 5*t - 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 11917 + -11916. What is the third biggest value in 0, 2\/7, -1\/5, -2\/7, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1, -4, -1032?\nAnswer: -1032","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 26502 is divided by 12622.\nAnswer: 1258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.26  (b) 0.06  (c) 788  (d) -4  (e) 2\/5  (f) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zzac when four letters picked without replacement from cazzc?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 5*n - 4*n = -288, -494 = -5*w - 3*n. Let b = w + -91. Suppose 12*c - 66 = b*c. What is the remainder when 31 is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 2  (b) -11\/8  (c) 0.4  (d) -1\/7  (e) 29\/6  (f) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 44137565?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 54, 160, 350, 666, 1150, 1844?\n\"Answer: 7*p**3 + 57*p - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -7*d + 70. What is the smallest common multiple of m(7) and 9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 121\/40 and 91\/14676?\nAnswer: 146760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -2*((-111)\/15 - -1 - (0 + -6)). Let 4\/5*p**4 + 4\/5*p + 0 - 4\/5*p**2 - o*p**3 = 0. What is p?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -13431144 (base 5) to base 6\nAnswer: -2554021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 11645051 and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 17312 and 196?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 615 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u = -4*q + 4208, u + 2*u - 3177 = -3*q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 765988903.\nAnswer: 765988903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -104 - -113. What is the remainder when 80 is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 483*t**4 - 10185*t**3 + 10174357 wrt t?\nAnswer: 1932*t**3 - 30555*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(sqrt(119) + (1*sqrt(119) + sqrt(119))*-1 + 1*sqrt(119)*-1)\/(6*1*sqrt(847)))**2.\nAnswer: 17\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -649.41 and -19.\nAnswer: 12338.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = 9*y**2 + 34*y - 4. Let k(l) = -10*l**2 - 34*l + 5. Calculate 5*c(z) + 4*k(z).\nAnswer: 5*z**2 + 34*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 58 = -24*v - 44 - 42 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -50 + 36 + (5 - -1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*i = 3*p + 40, 4*p + 206*i - 209*i + 35 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 1\/2448 and -69\/26996000.\nAnswer: 242964000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = 4*v + 536, -2*v - 18*s - 276 = -20*s. What is the nearest to 0 in v, 1, 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*m - 3*m + 3*m - m + 6*m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is -45157 greater than or equal to -3933?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - 2*j + 3*j - 16 = 0, -j = 2*g - 11. Let n be (3 - 2)\/1 + g. Solve -22 = 4*d - n for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = n + 68 - 45. Let y(j) = -j**2 - 32*j + 31. List the prime factors of y(n).\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + (6 - -1) + -73 + -36 + 86 + -46?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -t - 9. Let i be w(-10). Let l be (-1)\/(-3) + (-17)\/24. Which is the closest to 1?  (a) l  (b) i  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -356, -392, -428, -464?\nAnswer: -500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = 3*h + 1. Let c = -4 - -9. List the prime factors of o(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*sqrt(624) + sqrt(624)*5)\/(-2*sqrt(120)\/(sqrt(10) + sqrt(40))).\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 13.389023 and 0.4.\nAnswer: 5.3556092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 39 and 147.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -65  (b) -6  (c) -1  (d) 15\/103  (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1723*-36.2.\nAnswer: 62372.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 599814 is divided by 1759?\nAnswer: 1754","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -g. Let p(l) = -4213*l**2. Calculate y(p(r)).\nAnswer: 4213*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 33 + 12. Suppose 5*r = -p - c, 2*r - p = 6*r + 35. What is the common denominator of (4\/r)\/(36\/(-645)) and 41\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = 2*n**3 + 3*n**2 + 6*n + 5. Calculate s(-3).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 15, 6, -2\/69?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -16300, -32580, -48860, -65140, -81420, -97700?\nAnswer: -113980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -4 + 5 + (1122\/93 - (-184)\/(-2852))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 34078 is divided by 1362.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 27704?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fxfxfhfhf. What is prob of sequence hxx?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 21978 is divided by 5178.\nAnswer: 1266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -80 = -20*k + 18*k. Suppose 12*p + k = 7*p. What is the second biggest value in p, 3, 5, 5\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*r**2 - r**2 - r**2 - 8*r**3 + 15*r**3 to the form a*r**3 + q*r**2 + h*r + f and give a.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -79 + 182. Calculate the remainder when f is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1 - -5) + 0 + -4. Solve r = -4*s - 17 + 25 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) be the first derivative of 0*p + 2\/3*p**3 + 0*p**6 + 0*p**2 + 0*p**4 + 0*p**5 - 1\/7*p**7 - 3. Find the third derivative of f(n) wrt n.\nAnswer: -120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand i - i + i**4 + 2*i**4 + 4*i**4 - 4*i**4 - i**2 + i**2 + 2*i**4 + (-i + i + i)*(6*i**3 - 2*i**3 - 2*i**3) + 0*i**4 + 3*i**4 + i**4.\nAnswer: 11*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.4, 2.2, -82 in ascending order.\nAnswer: -82, 0.4, 2.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 10c + 177?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = 2*d - 7. Let g be z(6). Let y be (1 + 82\/6)\/(50\/(-2000)). Let c = y - -588. What is the nearest to 0 in g, c, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.047 in 0, -0.2, 1\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o - 2*s = 371 - 53, 3*s = 15. Suppose -88*b + o*b = -4290. What are the prime factors of b?\nAnswer: 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*t - 19*t + 26*t.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 18 and 2124?\nAnswer: 2124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = 16 + 1 - 44*h + 5*h + 5*h**2 - 6*h**2. Is m(-18) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -32*p**2 + 23*p - 6127.\nAnswer: -64*p + 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -12*j + 30. Let i = 2.8 + 0.2. Let s(q) = -q + 5. Let x be s(4). Which is the closest to x?  (a) j  (b) i  (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {l: 3, f: 1, x: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -989*f**4 + 5*f + f**2 + 522*f**4 + 517*f**4 wrt f.\nAnswer: 1200*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6\/90*6)\/2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 79 divide 1053386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10869068 = -151*l + 16293053 + 12659624. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (36\/(-28))\/(11\/(-77)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -5*d**2 - 1168*d + 2338. Calculate j(2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2458?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of a**3*u**3 - 8*a**3*u - 2*a**2*u**3 - 70*a*u**3 + a*u**2 wrt a.\nAnswer: 6*a*u**3 - 48*a*u - 4*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.09 and 22437657303.\nAnswer: 22437657302.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*y**3\/4 - 4445067*y**2\/4 + 411638485518*y - 411637374252 = 0. What is y?\nAnswer: 1, 740844","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) -0.5  (b) 22  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2 and 286.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = i. Calculate p(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 4 + -517760?\nAnswer: -517757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g = 3*q - 2 - 19, 0 = -3*g - 2*q + 19. Suppose 4*m - 2*t = -1 + 3, 0 = -4*m - g*t + 27. What is the remainder when m is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + 8 - (-3 + -6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = q - 3*k - 5 - 0, q = k + 5. Suppose j - 1 = 1. Suppose 3*u + 6 = -0*u. Sort q, j, u in descending order.\nAnswer: q, j, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (36\/14)\/(15\/70). Suppose 2*y + 5*t + d = 0, -t + 6*t = -3*y - 8. Is y\/(-14) - -21578*3\/42 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r - 45 = -249. Let z = r + -10. What is the remainder when z is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 3\/2  (b) 1\/2  (c) 0.933  (d) 3  (e) -5  (f) 1\/15  (g) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -45 (base 10) to base 5.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 5 - 3)*(2 - 1 - 2)*(-4*c - 2*c - c).\nAnswer: 7*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1786 + 14334 = 190*q + 58*q. What is the remainder when 5069 is divided by q?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -17 + 17. Solve -3*b + 1 + 8 = r for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -48*v**3 - 2028*v**2 + 4512*v + 33. Let w(y) = 3*y**3 + 127*y**2 - 282*y - 2. Let d(x) = 2*s(x) + 33*w(x). Factor d(a).\nAnswer: 3*a*(a - 2)*(a + 47)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = b**2 + 18*b + 42. Determine v(-12).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*j**5*y - 85*j**3*y - 26*j*y - 23*j + 2 wrt j?\nAnswer: 60*j**3*y - 510*j*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -194, -192, -190, -188, -186, -184?\n\"Answer: 2*p - 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*m - 8 = 2*r, -6*m = -r - 7*m - 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.168 + -0.368. Let a = 12 - 18. Let r = 6 + a. Put s, 0.5, 5, r in increasing order.\nAnswer: s, r, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1 - -2551?\nAnswer: 2552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 397570?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i = 4*z - 61, 18 - 6 = 3*z + 3*i. Is 1 equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -174 - -189. Which is the fourth biggest value?  (a) v  (b) 0.5  (c) 0.3  (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 28161, 1, -12, 2 in decreasing order.\nAnswer: 28161, 2, 1, 0, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -183 - -189. Calculate the highest common divisor of 45 and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.3, 0.1, -1, 65163.\nAnswer: -1, 0.1, 0.3, 65163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = 6*d - 20. Let o be m(3). Sort 3, o, -12, -1.\nAnswer: -12, o, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.13244 + 1790154461.8?\nAnswer: 1790154461.66756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -168 - -170. Suppose 8*p - 10*p + 3*k = -27706, -41585 = -3*p - n*k. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-2)\/4 - (-140)\/(-56). Let z = 0 - 2. What is the third biggest value in z, 2\/7, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -334802.7 - -331582.642. Let r = -3217 - v. Let l = r - 0.058. Which is the nearest to -1\/3?  (a) l  (b) 1  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h + 5*s = -4*h + 27, 4*h - s - 9 = 0. Let r(v) = -3*v**3 + 2*v**2 + v. Let g be r(-1). Solve -h*q = -q - g for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11000100100 + -101010100010001?\nAnswer: -101101100110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1768*l + 55575 = -105313 for l.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -754 - -753. What is the nearest to -2\/5 in y, -0.5, 8\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) be the first derivative of k**3\/3 + k**2\/2 - 2*k - 6. Let c be h(2). Calculate the greatest common divisor of c and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a - 167 = 9. Let v be (-17 + 5)*(-6)\/9. What is the greatest common divisor of v and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 11771*h**2*k**3 + 2*h**2*k**2*l**2 + 1187*h**2*l**2 + 2*h*k**2 + 12*h*k*l**3 + 5*k**3*l**3 - 4*k**3*l wrt k?\nAnswer: 70626*h**2 + 30*l**3 - 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -127868226522*k + 127868226522*k - 643*k**2.\nAnswer: -643*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (3\/((-255)\/(-238)))\/(4\/5*-1)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 8899*y**3 + 7129.\nAnswer: 26697*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -9021, -9011, -9001, -8991, -8981, -8971?\n\"Answer: 10*m - 9031","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 2, t: 6, c: 5, w: 1, x: 1, y: 2}. Give prob of sequence rx.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**8\/(((t\/(t\/(t*(t\/t**(-3\/5))\/t))*t)\/t)\/t))\/(t**(-8\/3)\/(t*t**(-2\/7)))*t*t**(2\/15)*t\/((t*t**(2\/15))\/t*t)*(t**(-8)\/t)\/t**(6\/13) assuming t is positive.\nAnswer: t**(3166\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1272 - 1254. Calculate the least common multiple of 2296 and q.\nAnswer: 20664","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-6228648)\/20)\/(-9) + 6\/(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rnnn when four letters picked without replacement from {n: 5, r: 5}.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -3*r. Let a(b) = -2*b**2 + 168799381*b. Calculate j(a(h)).\nAnswer: 6*h**2 - 506398143*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 155 or 154?\nAnswer: 154","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express (20*g - 73*g + 23*g)*(-6*g**3 + g**3 + 3*g**3) - 2*g**4 + 4*g**4 + g**4 as o + i*g**3 + w*g + z*g**2 + r*g**4 and give r.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -1441*j + 33. What are the prime factors of f(-2)?\nAnswer: 5, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 48, 376, 1268, 3006, 5872, 10148, 16116, 24058?\nAnswer: 34256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*h**5 + 0*h**3 + 0*h**3 + (5*h**2 - 2*h**2 - 4*h**2)*(-5*h**3 + 2*h**3 - 3*h**3) + (-15*h**3 - 80 + 80)*(2*h**2 - 2*h**2 + 2*h**2).\nAnswer: -26*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -5567\/60 - -1301\/15. Find the common denominator of 744\/1224 - (-2)\/(-12) and y.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -136 = 16*l - 20*l. Suppose 0 = l*n - 30*n - 156. What is the highest common factor of 78 and n?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = x**3 - 12*x**2 + 35*x + 4. Let q be r(7). Let i be ((-2)\/q + 2)\/((-2)\/(-4)). Which is the second biggest value?  (a) -2\/5  (b) -17  (c) i  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-f - 2*f + 4*f)*(-6 + 4 + 1) + 1 - 1 - 4*f + f - f + f + (-48 + 0 - 12)*(f + 3 - 3).\nAnswer: -64*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express 11*l**2 - 143*l**2 - 161*l**2 + 2*l - 3*l + 67*l**2 as z*l**2 + w*l + p and give z.\nAnswer: -226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = 8615*a - 75. Let h(k) = -717*k + 6. Let s(j) = 50*h(j) + 4*x(j). Let o(t) = -2*t. Determine s(o(f)).\nAnswer: 2780*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 2*g - 2. Suppose -5*f = -0*u + u - 23, -3*u - 11 = -f. Suppose -3*c = -5*z, -5*c + 2*z + 19 = -0. Let j(i) = 4*i - 5. Determine c*k(h) + u*j(h).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 67 = 57. What is the remainder when v is divided by ((-11)\/(-2))\/(2\/4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 + (-6 - -15) - 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10010001101001001 + -1010?\nAnswer: -10010001101010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -53 + 51. What is the units digit of m\/7 + (-1833)\/(-21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 + -7 + 25 + -13\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12183 - 36557 + 6*p - 3*p**2 + 12189 + 12185.\nAnswer: -3*p**2 + 6*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.2136 * -3.\nAnswer: 0.6408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.073 + 0.927. What is the nearest to 1\/3 in j, -1\/10, 3?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -3*a - 25. Let q(c) = -2*c - 17. Let f(i) = 5*g(i) - 8*q(i). Give f(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 2\/9  (b) -4  (c) 0.03  (d) -0.0186\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*c + 3*b = -7, -68*c + b + 2*b + 0*b = -70*c - 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -595*p**2 + 52*p + 1683. Let x be c(-69). Round x to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 4 - -391bf17?\nAnswer: 391bf1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -4*r + 3*r. Let s = 19 - 14. Suppose -u - 3*t = 12 - s, 5*u = 4*t + 22. What is the greatest common divisor of u and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 31963317?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*g - 3*f - 16 = 0, -395*g + 4*f + 0 = -390*g + 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 10515370 to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-90)\/(-4) + (-26)\/(-52). Solve -2*c + 17 - j = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 3904b - 3034?\nAnswer: 36017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 464902 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-3*c - 3*c + 3*c)*(3 - 4 - 1) + 5*c - 4*c + 0*c)*(-79 - 204 + 94).\nAnswer: -1323*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u - 2 - 4 = -2*r, 2*u - 12 = -4*r. Let 0 + 4\/5*p**4 + 0*p**2 + 2\/5*p**5 + 2\/5*p**r + 0*p = 0. What is p?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 182182, -1\/3, 0, -23, 5, 3\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 5026 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 8081 + -7685. What is the highest common divisor of v and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + 2*sqrt(117) + 2*(sqrt(13) + -1) + 3 + sqrt(143)\/(-1*sqrt(1584)) + 0)**2 + 5.\nAnswer: 475*sqrt(13)\/6 + 121645\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 249524792, 249524786, 249524780, 249524774, 249524768?\n\"Answer: -6*t + 249524798","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -320 (base 8) in base 13?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -r**3 - 9*r**2 - 12*r + 18. Let m be j(-7). Let f be ((-1)\/m + 0)*12. Let t(l) = -9*l + 1. Calculate t(f).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -3c33 + -4?\nAnswer: -3c37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 20\/(-3)*84\/(-112).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 99\/280 and 20\/(-90) - ((-4299)\/(-945) - (3 - -1)).\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (10\/(-6))\/(3\/(-117)) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -c**3 - 300*c**2 - 1466*c + 2679. Calculate b(-295).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = z + 11. Let y be t(-12). Let h(u) be the first derivative of 112*u**3\/3 - 5*u**2\/2 - u - 41. Does 29 divide h(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3199 + -2737. Calculate the smallest common multiple of f and 1155.\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 85\/(-17) + 0*2\/(-8)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 4 - 4. Suppose -4*v + 5*v + 3*j - 917 = b, 2*j = 4*v - 3640. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1111 - -110000111001?\nAnswer: 110000101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 696?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) be the second derivative of 2*o**7\/21 + o**6\/6 + o**5\/2 + o**4\/6 + o**3\/3 - 321*o**2\/2 - 7019*o. What is the third derivative of u(k) wrt k?\nAnswer: 240*k**2 + 120*k + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3\/7*t + 15*t**2 + 0.\nAnswer: 3*t*(35*t + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -22 - -740?\nAnswer: 71a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 43133 is divided by 306.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k - 5*j = -6, 4*j - 3 = 9. Let m = -0.1 + 0.1. Let d = 0 - m. Which is the third biggest value?  (a) 2  (b) d  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 21 divided by 169.\nAnswer: 21\/169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*d = 10, d = 2*o + 4*d - 21 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 96 minutes before 12:45 PM?\nAnswer: 11:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 0.3, -181, -3, 4, -3\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) be the first derivative of -w**6\/15 - 6*w**5\/25 - 3*w**4\/10 - 2*w**3\/15 + 19. What is s in l(s) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh smallest value in -0.1, -0.3, -43\/11, 16.4, -0.2, -3, 5?\nAnswer: 16.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 127283278?\nAnswer: 2, 63641639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 52631*o**4 + 175177?\nAnswer: 210524*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.7501175m to nanometers.\nAnswer: 750117500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 plus 274981.020843?\nAnswer: 274983.020843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1053 (base 16) to base 12.\nAnswer: 2503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x = 4*q - 1504, q - 4*q = 4*x - 1109. Suppose a + 4*b = -q, 0*b - 1791 = 5*a - b. Is a\/(-7) - 4\/14 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*q - 3*l - 71 = -66, -5*q + 5*l = -50 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*b**3 - 12*b**2 - 8*b.\nAnswer: -4*b*(b + 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -43 + 63. Suppose -5*o + 15 = 2*y, v = -6*y + 2*y. What is the lowest common multiple of o and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor n**5\/6 - 11939*n**4\/6 + 16412139*n**3\/2 - 76482016657*n**2\/6 + 13130484650245*n\/3.\nAnswer: n*(n - 3823)**3*(n - 470)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) be the third derivative of 1\/60*n**5 - 2*n**2 + 0*n + 0 + 7\/24*n**4 + 7\/6*n**3. Let l = 7 - 13. Determine q(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:24 PM and 6:37 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-4 + 13)\/(0 + 1). Suppose -33 = 3*g + 3*w, -2*g - o = -2*w + 1. What are the prime factors of g + 5 - (0 - 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2*3*1\/2. Suppose y*u + 4 = f + f, 0 = 3*u - 6. Suppose -40 = -3*z + 5*v, -f*z + 3*z = -4*v - 26. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*y - 4*y**2 - 2*y)*(102*y**3 - 206*y**3 - 251*y**3).\nAnswer: 1420*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (36822\/1444)\/(6\/(-4)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = j. Suppose -v + 12 = 3*v. Let b be w(v). Suppose b*i + 6 = 153. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -j**3 + 3*j - j**2 - 197 + 2*j**3 + 198. Let x be a(0). Let m(n) = -12*n - 8. Let c(k) = -k - 1. Determine x*m(d) - 8*c(d).\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 5*s**2 - 77*s - 37. Let b be a(16). Let j(p) = p**3 - 12*p**2 + 12*p + 9. Determine j(b).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 1 and 22\/95 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -5 + 7. Let s be 3\/(-2)*(-204)\/18. Let p(i) = 17 - s - x*i. Let d(t) = -t**2. Give d(p(l)).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*c**2\/15 - 3904*c\/5.\nAnswer: -2*c*(c + 5856)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2459706 is divided by 3402.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 5220 and 87.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 11*h - h. Let t(p) be the second derivative of 0*p**5 - 1\/6*p**4 + 2*p + 0 + h*p**2 + 1\/6*p**3 - 1\/42*p**7 + 1\/15*p**6. Factor t(w).\nAnswer: -w*(w - 1)**3*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 433409 is divided by 363.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.165 - -2.875. Let i = t - 0.04. Let j = i - 2. Put 3\/4, j, 3 in increasing order.\nAnswer: 3\/4, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10 - 111001011110111?\nAnswer: -111001011111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express 10653 - 5727*a + 10652 - 21305 in the form r*a + v and give r.\nAnswer: -5727","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*b + 3*b = i + 16, 5*i + 3*b = -8. Let o be i\/12 + 28\/12. Let g(l) = -2*l + o*l + 0*l - 1 + 3*l - l**2. Determine g(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m, 1 v, and 1 e when three letters picked without replacement from vvmemevmeee?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -2*l. Let o be w(-1). Suppose -6 = -o*d - 0. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -n - 3. Let d be g(-7). Let m(b) = 3*b - 4. Suppose 4*v + v = 90. Calculate the lowest common multiple of v and m(d).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.3 and -501.\nAnswer: -501.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = 7*u + 132. Give c(11).\nAnswer: 209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 128.01 - -140.3. What is v rounded to the nearest 10?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -222*n - 2445. Let q be g(-11). Let z(t) = 2*t + 6. Let p be z(-6). Sort -5, 5, q, p.\nAnswer: p, -5, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*t - 2*t - 7*t - 252*t**2 + 0*t.\nAnswer: -252*t**2 - 7*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) be the first derivative of -127*s**6\/2 - 342*s**2 - 70. Find the second derivative of w(r) wrt r.\nAnswer: -7620*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/5, 1\/5, -3\/2, -121, -6 in decreasing order.\nAnswer: 1\/5, -1\/5, -3\/2, -6, -121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 266 = -10*d + 496 for d.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 13, 31, 63, 115, 193?\n\"Answer: j**3 + j**2 + 8*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 8\/3 + 8\/(-12). Suppose 6*w - 3*w = f*k + 249, -3*w = k - 240. Let q = w - 36. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*s + s + 0*s)*(68295*s**3 - 28*s**2 - 136553*s**3 + 68282*s**3) in the form r*s + m*s**2 + f*s**3 + i + b*s**4 and give b.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -2*(-1 - (-15)\/25). Suppose -l*x + 2\/5 + 2\/5*x**2 = 0. Calculate x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -2*(-2)\/(8\/6). Let v = 5 - o. Suppose 4*r = 3*i - 24, -6 = -i + 3*r + 7. Solve -10 = v*g - i*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {z: 7, p: 7}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -9 - -17. List the prime factors of ((-42)\/x)\/(4\/(-16)).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -650 - -656. Let r(h) = 5*h**3 + 4*h**2 + h + 25. What is the units digit of r(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 45 + -47. Let g = -9.29 + 5.29. Which is the closest to -1?  (a) g  (b) t  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 69, 266, 595, 1062, 1673, 2434?\n\"Answer: j**3 + 60*j**2 + 10*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 20 + -12 + 6 + -32\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 113\/1130*((-6)\/(-1))\/(-1)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -2*p + 0*p - p**2 + 1 + 5*p - p**3 - 2*p. Let y(c) = c**3 + c**2 - 2*c - 3. Determine -3*x(w) - y(w).\nAnswer: 2*w**3 + 2*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*y - 2*y - 130. Suppose 3*v + 58 = 5*h, 4*v = h + h - y. Let k = -39 - -42. Solve 0 = -k*b - 4*g + h, -4*b + 0*g - 3*g + 17 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*j = 3*j + f - 2848, -1716 = 3*j + 3*f. Let a = -179 - j. What is the hundreds digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 300 and 58769700.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16448 + 993 = -109*l - 438*l + 23382 for l.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12153478 is divided by 810228?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 28713, 57430, 86147, 114864?\n\"Answer: 28717*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8501677.\nAnswer: 53, 160409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2\/(-6) - 110\/(-33). Let g = 4 - c. Solve -g = 4*i + 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 1455790.59 nanoseconds?\nAnswer: 0.000000016849428125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(2\/17))**(-28\/5)\/(h**(-1\/7))**(-14) assuming h is positive.\nAnswer: h**(-226\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 27*m + 1 + 28*m)*(5 - 3 - 1)*(-2*m + 4*m - m)*(-2*m - 5*m + m).\nAnswer: -6*m**3 + 6*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 0.6065922nm?\nAnswer: 0.0000000000006065922","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 20 and 208.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 40402424022 + 2?\nAnswer: 40402424024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 22 = -2*q, 0*q - 4*q - v = -44. Let x = q + -23\/2. Let g = -27 - -26. What is the closest to g in x, 0.1, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -15806 + 15801 - 10*h - 261*h - 256*h + 69*h in the form y*h + l and give y.\nAnswer: -458","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -536*v + 1077. Let n be j(2). Let t(x) = 7*x**2 + 6*x + 4. Let a(o) = 20*o**2 + 17*o + 11. Let l(q) = 6*a(q) - 17*t(q). Let b be l(2). Sort -4, b, n.\nAnswer: -4, b, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.11155 - 24.\nAnswer: -24.11155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2 - 2132203?\nAnswer: -2132201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 114 = 5*h - 2*h. Let z = 57 - h. Suppose 18 + z = v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2680*m - 52 = 2687*m - 2*c, m - 2 = 5*c for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor y**5 + 4*y**4 - 19*y**3 + 14*y**2.\nAnswer: y**2*(y - 2)*(y - 1)*(y + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1.18 in 55, -0.66, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-5)\/25*(-15)\/838. Let v = p + -16558\/2095. Calculate the common denominator of v and 4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -529290832.39999633 - -529290829. Let u = -3.4 - l. What is u rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + 3 = 3*p, -l - 4*p - 1 = -2. Let g = 1 + l. Suppose 4*r + 0*r - 13 = -z, -52 = -g*z + 5*r. Is 13 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rutuqt. What is prob of sequence truu?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 + 2*p - 1 + (-4 + 1 + 1)*(0*p - 2*p + 0*p) + 0*p + 5*p - 4*p + (-1 - 1 + 0 + (0 - 2 + 1)*(-3 + 3 - 1))*(3*p + p - 9*p).\nAnswer: 12*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -2, 6 in decreasing order.\nAnswer: 6, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + -4 + 1 + 0 + (1 + 1 + sqrt(11) - (sqrt(396)*-1 + sqrt(396)))**2 + 5.\nAnswer: 4*sqrt(11) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2.003 - 0.003. Let y = 4.126 - 0.126. Which is the fourth smallest value?  (a) o  (b) 0.3  (c) -4  (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -391 - -503. Suppose -4*v - t = 12*v. Let s(p) = p - 4. What is s(v)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4 by -9446515.\nAnswer: 4\/9446515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = 38*p**3 - 347*p**2 + 57*p - 611. Give w(9).\nAnswer: -503","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (36\/(-45))\/(2\/(-5)). Let r(f) = -9*f**2 + 18*f**l - 10*f**2. Let t(m) = 40*m. Let y(p) = 8*p. Let c(n) = 2*t(n) - 11*y(n). Determine r(c(x)).\nAnswer: -64*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*w - 15075*w**2 + 4 + 2*w**3 + 15073*w**2 + 3*w**3 - 19*w**4 to the form l + p*w**2 + z*w**4 + x*w**3 + h*w and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = j**3 + 19*j**2 - 780*j + 11. Give o(-39).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 210 + -210000011021?\nAnswer: -210000010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -3*u - 2 - 2 + 3. Let y be p(-1). Suppose y - 5 = -i. Calculate the least common multiple of 8 and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 2*s**2 + 33*s + 89. What is j(-13)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2507?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 81 + -18. What is the highest common divisor of o and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1037\/35 + 151\/5. Let w be 0 - (4 + (-65)\/(-25)*7). Let d = w + 1433\/65. Put 2, u, d in decreasing order.\nAnswer: 2, u, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is a5b3 - -4936?\nAnswer: 13329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -16049 to the nearest 100.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = 10*m**3 - 12*m**2 + 12*m - 14. Let o(s) = -s**3 + 3*s**3 + s - s**3 - 1 - s**2. Determine k(h) - 12*o(h).\nAnswer: -2*h**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 71 and 142.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 8547 + -8547. Determine x, given that -3\/2*x - 3*x**4 + y + 3\/2*x**3 + 3*x**2 = 0.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -33806050 by 12757.\nAnswer: -2650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 3 - -6cdb?\nAnswer: 6cde","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 851, 3, -3\/14, -8\/13?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*t**4\/7 + 663*t**3\/7 + 1314*t**2\/7.\nAnswer: 3*t**2*(t + 2)*(t + 219)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.11 - 0.01. What is the nearest to -1 in -2\/3, v, 1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -7*v**2 + 9 + v - 16 + 0*v**3 + 7 + v**3 in the form b*v**3 + k*v**2 + i*v + p and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -115584930, -231169857, -346754784?\n\"Answer: -115584927*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1759.62 take away 4?\nAnswer: 1755.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -11\/11811240 and 13\/15480.\nAnswer: 11811240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.4 from 9.78.\nAnswer: 9.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1969489?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 259 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*q - 10 = 0, -157*l = -154*l - 3*q - 12 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -3373 + -0.49400849?\nAnswer: -3373.49400849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*z + 359 = -496 + 63. What is the greatest common factor of z and 459?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22 = -4*g + 2. Let o(y) = 4 + 1 - g + 3*y**2. Suppose -2*s + 4*n - 10 = 0, 2*n = 2*s + n + 1. Calculate o(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tkptill. Give prob of picking 1 l and 1 k.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 9, x: 7}. What is prob of picking 2 x?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = 33*u**2 - 3*u + 7. Let x(d) = -22*d**2 + 2*d - 5. Let p(t) = 5*c(t) + 7*x(t). Is 12 a factor of p(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -9a07461 + -2?\nAnswer: -9a07463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3.98 - 4. Let v = 0.28 - j. Sort -0.3, 0.1, v in increasing order.\nAnswer: -0.3, 0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 169, -4, 7 in increasing order.\nAnswer: -4, 7, 169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 11018117, 11018120, 11018123, 11018126, 11018129?\nAnswer: 11018132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:38 PM and 3:53 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -6*w**2 + w - w**3 + 11 + 2*w**3 + w**2 + w**2. What is the least common multiple of b(4) and 50?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f + 74340 = 4*a, -37164 = -2*a - 16*f + 17*f. What are the prime factors of a?\nAnswer: 2, 5, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -q**3 - 10*q**2 - 22*q + 28. Let u be z(-16). Suppose 0 = -d + u + 1355. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 6298 and 29234?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (41348\/(-21836))\/(18\/(-141)). Let t = n - -2\/5459. What is the common denominator of -93\/4 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/16 of a gram in micrograms?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -2\/7, 0.2, 227 in descending order.\nAnswer: 227, 4, 0.2, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-12)\/((-2)\/(-8)*96\/72). Let j(c) = -15*c - 200. Is j(q) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*j + 0*j - j - 2)*(-281 - 93*j + 281) to a + p*j + z*j**2 and give p.\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put together -555 and 0.1296327.\nAnswer: -554.8703673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (18\/135*-5)\/(29\/(-1479)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 4, o: 4, v: 1, u: 1, h: 1}. Give prob of sequence php.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 10 and 12100.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -r**2 - 9*r - 6. Let b be y(-4). Suppose b + 55 = -23*s. What is the nearest to 2\/9 in -0.2, 1, 2, s?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000031912688324 rounded to 6 dps?\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.5, -0.4, 4, -299 in increasing order.\nAnswer: -299, -0.5, -0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 36222725 and 1225?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -10*(-4)\/((-8)\/1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -572 + 681. Sort -5, y, 2 in increasing order.\nAnswer: -5, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 480454 + -278437. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -169.1  (b) -20  (c) 0.06  (d) 1\/3  (e) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -199 + 202. What is the smallest value in h, -4\/3, -0.4?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -3*p**3 - 253*p**2 - 99*p - 1277. Calculate o(-84).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 39\/(-26) - (-1 + 20315\/(-10)). Suppose -2*g + 6 = g. Suppose f = t + g*t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 495191, 495173, 495155, 495137, 495119, 495101?\nAnswer: 495083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 21\/210 + (3 - (-177627)\/30).\nAnswer: 2, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 4, x: 2, k: 4, w: 3, q: 3}. Give prob of picking 1 w and 1 h.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i = -4*r + 5*r - 159, 4*r - 64 = i. Let c be i\/(-6)*(-3)\/(-2). Suppose 0 = -4*h + c - 5. Solve -4*f = -2*x + 6, 0*f - 3*f = h*x + 22 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 87372 + d9?\nAnswer: 8746b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 5\/((-15)\/6)*-1. Find the second derivative of 3 + i**2 - 2*i**a - 3 + i wrt i.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1882*p**2 - 2*p**3 + 3798*p**2 - 46*p**3 - 169 + 397 - 2*p**3 + 2278*p = 0. What is p?\nAnswer: -1\/5, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1879*a - 1904*a - 5 + 5674*a - 1885*a.\nAnswer: 6*a - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 29\/16812 and -109\/216.\nAnswer: 100872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*n + 127110 = n + 125*n. What is the remainder when n is divided by 22?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 9313 - 9269. Is -1 bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 0, -12, -26, -42?\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in 0.7, 1, 40, -2, 3?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -2*m - 18. Suppose 85*z - 92*z = 63. Let u be f(z). Is -9\/52 at least u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -2*d**3 + 453*d**2 + 212*d + 3124. What is r(227)?\nAnswer: -281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -935159272, -935159271, -935159270?\nAnswer: -935159269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 16065 and 6069?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 94152.\nAnswer: 2, 3, 3923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express -41*x - 118*x + 50*x - 43*x - 88*x - 7*x - 3*x + 3*x + 5*x - 4*x - 2*x + (0 - 2 + 4)*(-4*x + 2*x + 4*x) - 5*x + 4*x - 4*x as q + d*x and give d.\nAnswer: -249","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -64\/33 and (2\/192)\/(210\/52 + -4)?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 196638 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -20ee - 0?\nAnswer: -20ee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 34*y - 243*y + 1431 - 2231 + 9160 = 0 for y.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -7084 (base 16) in base 5?\nAnswer: -1410204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:38 PM and 6:34 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*v - 4*i + 78 + 20, 0 = v - 4*i - 54. Which is greater: 75\/2 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1003323302 - -1?\nAnswer: 1003323303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -n = -5*k + 26, -k + n = -n - 7 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*h + 8 - 4. Are -8\/7 and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = -4*a + 4*b - 24, 4*a = 3*b - 16. Is 14 a factor of 2239\/5 + (7\/a)\/(-35)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 292 + -291.9191. What is t rounded to three dps?\nAnswer: 0.081","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 142999200?\nAnswer: 2, 3, 5, 19861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {z: 10, p: 9}.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 + 3 + 2*j)*(6011*j - 56792109 + 56792109)*(-4 + 1 + 5) to q + w*j**2 + t*j and give w.\nAnswer: 24044","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3*((-951)\/1585)\/((-7)\/5).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 75499?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4488 and 1765896.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 497 is divided by 243.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find n such that 58*n**4\/9 + 178*n**3\/3 - 3604*n**2\/9 + 456*n + 112 = 0.\nAnswer: -14, -6\/29, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1 and 29.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5818?\nAnswer: 2, 2909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-238)\/70 - -3)*2\/(-82). Sort 0.1, k, 2.\nAnswer: k, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {t: 2, b: 9}.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*y + 3*y + 0*y + (36 - 65 + 28 + 2*y)*(-15 - 40 + 1).\nAnswer: -107*y + 54","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1  (b) -18  (c) -2\/19  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-156)\/(-72))\/((-4)\/6))\/(5\/20).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 - 1 - 2 + 1 - 2 - 1 + (5 - 1 - 2)*(4 - 3 - 3))*(3 - 3 - 1)*(-8 + 2 + 24)*(3*k**3 - 4*k**3 + 0*k**3).\nAnswer: -54*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 237 greater than or equal to 945\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-125)\/(-15) - 9) + (20\/(-15))\/(-2). Solve b = 245*d - 249*d for d.\nAnswer: 0","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 {t: 3, w: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:06 PM and 3:32 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 84 divided by -12\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 10249410*v**4 + 15273540*v**2.\nAnswer: 245985840*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + (sqrt(432) - -6*sqrt(432)*6))**2 + (((sqrt(72)\/(sqrt(12)\/sqrt(6)) - sqrt(36)) + sqrt(36))\/(sqrt(84)\/(sqrt(7)*-2)))**2.\nAnswer: 591420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 20\/(-24)*12\/(-15). Let x = -0.3 - -0.1. Sort -5, g, x.\nAnswer: -5, x, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*(g\/g**27)\/g*g*g*g**(-11))\/(g\/g**(31\/5))**(1\/3))**(-12) assuming g is positive.\nAnswer: g**(1996\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-1)\/(31\/5 - 6) + 517. Suppose 517*t - n*t - 2315 = 0. What is the hundreds digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -12 - -12.1. Let c = 7.1 + -8. Let t = 0.5 + c. What is the smallest value in -2, z, t?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21 (base 7) in base 12?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 87*j - 82*j - 5*k + 45 = 0, -9 = 4*j + 5*k for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2 + 12 - 8 - 3*d**2 + (1 + 1 + 1)*(14*d**2 - 11*d**2 + 25*d**2).\nAnswer: 81*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q**2 - 90520080*q - 512117805200400 = 0. What is q?\nAnswer: -11315010","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 8 + 13?\nAnswer: 1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00120492814 to 7 dps.\nAnswer: 0.0012049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Are -156248 and -156244 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) be the third derivative of -c**7\/840 + c**6\/720 - c**5\/120 + c**4\/6 + 4*c**2. Let g(p) be the second derivative of k(p). Calculate g(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -88.08 - -0.58. Let n = -88 - o. Let m = 1.2 + -0.2. Which is the nearest to m?  (a) 1\/6  (b) n  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (114\/(-133))\/((-8)\/14).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 2 + a4b92?\nAnswer: a4b94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 749 and 21222859?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 11783 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -19946 + 19968. Solve 2*u - b = -28*d + 31*d, 16 = -4*d for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-51)\/3*2\/(-78). Let f = h - -3\/13. Suppose 2*u = -4*z - 12, 85*z - 101*z + 42 = -u. What is the closest to f in 1, -2\/19, z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -i**2\/5 - 967197*i - 19343924\/5.\nAnswer: -(i + 4)*(i + 4835981)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 23281*s - 11202*s - 12074*s.\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*f - b = 8*f + 113, -5*f + 165 = 3*b. Is (-142314)\/(-4)*24\/f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 26 - 22. Suppose -h*v + 3*m = -722, 4*m + 0 = 8. Let p = 122 - v. Round p to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1822960000 rounded to the nearest 1000000?\nAnswer: -1823000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = i**2 - i - 8. Let j be g(4). Suppose 0 = -2*u - j, -3*w - 228 = 2*w - u. Let k = w - -100. What is the remainder when k is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14432000053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bwwbbwwbwbbbb. Give prob of picking 4 w.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (6321 - 1530 + 1884)*(3*r - 6*r + r)*(-1 + 3 - 4) to w + q*r and give q.\nAnswer: 26700","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 93 + 47*s**3 - 147 + 54.\nAnswer: 47*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t + 8 = -8. Suppose 5*w = -5 + 30. Solve -t*y + 0*y = 5*m + 21, 0 = -4*m + w*y - 25 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4694477 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 3090 divided by -46362?\nAnswer: -515\/7727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -0.6 + -8.855744\nAnswer: -9.455744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -9a0 (base 11) to base 8\nAnswer: -2257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = 11*m - 54. Let a(d) = -27*d + 135. Let o(c) = 5*a(c) + 12*u(c). Let h be o(13). Let l = -11 - h. Is l < 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*s + 13 + 6*s - 1 - 7*s - 2.\nAnswer: 3*s + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1826, 6871, 15220, 26879, 41854, 60151, 81776, 106735?\nAnswer: 135034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -25621175 (base 8) to base 14.\nAnswer: -a89101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 22786306?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(153)*-6)\/sqrt(9) + (sqrt(17) + -2 + sqrt(17) + 3)**2.\nAnswer: -2*sqrt(17) + 69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 392\/(-32)*8928\/2604?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven eighths of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 5224530251 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (29 - 139*p - 138*p + 413*p - 137*p)*((1 - p - 1)*(-3 + 2 + 0) - p - 3*p - 3*p) to g*p + b*p**2 + s and give g.\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000041619284 rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) be the third derivative of -p**4\/24 + p**3\/6 - 3*p**2. Let r(s) = -5*s + 39. Let u = -609 - -606. Let f(z) = u*x(z) + r(z). Differentiate f(b) wrt b.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*o + 6*l - 16 - 15 = -75, o + 3*o = 5*l for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 64 - 444\/7. Solve -y - 6\/7*m - 2\/7*m**2 = 0 for m.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 158*t**2 - 155*t wrt t?\nAnswer: 316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -115\/66 and (-12)\/(-14) - 132696\/69552.\nAnswer: 1518","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(2 + sqrt(567)) + sqrt(567).\nAnswer: -27*sqrt(7) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -703*w**2 - 680*w**2 + 2812*w**2 - 717*w**2 - 711*w**2.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 12284960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-1*sqrt(156) + sqrt(156))*5)\/(sqrt(12)\/sqrt(2)*-5 + sqrt(6)))\/(2*6*sqrt(16)\/sqrt(2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 18 = 22. Suppose l = -d - 1. Is 3648\/10 - l\/45 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -97 and -16.\nAnswer: 1552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4811358?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -12767, -23795, -34823, -45851, -56879?\nAnswer: -67907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find v such that v**2\/5 + 16*v\/5 - 4836\/5 = 0.\nAnswer: -78, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p = -7 + 3. Let f be (-2)\/(-4) + p\/4. Which is smaller: f or 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -52 (base 6) to base 7.\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -4*b - y - 20, 0 = -b + 6*y - 24. Let h(d) = d**2 + 5*d + 4. Calculate h(b).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 50 minutes after 5:57 AM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = p**2 + 9*p - 43. What is the hundreds digit of l(-19)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*g**3\/9 + 2*g**2 - 16*g\/9.\nAnswer: -2*g*(g - 8)*(g - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let -8*t**3\/7 - 17630*t**2\/7 + 41224*t - 71040\/7 = 0. What is t?\nAnswer: -2220, 1\/4, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -65*y**4 + 64*y**4 - 2*y + y**2 + 5*y to p*y**3 + v*y**4 + t*y + b*y**2 + i and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -2*o**3 + o + 2. Let j be l(-2). Suppose -d - j = 3*d. Let h(f) = f**3 + 6*f**2 + 5*f - 2. What are the prime factors of h(d)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24*f + 235*f + 116*f + 247*f.\nAnswer: 574*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -1126.125+92\nAnswer: -1034.125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 709 minutes after 8:15 PM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.23 + -0.03. Let x = 1630 - 1636. Which is the nearest to 2?  (a) d  (b) -0.3  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2289 and 651.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -2*q**2 - 56*q - 139. What is i(-28)?\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2582, 5080, 7578, 10076, 12574?\nAnswer: 15072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.309788104 rounded to 4 decimal places?\nAnswer: -0.3098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -87*(-3)\/(11 + -2). Suppose -56 = -3*w - 4*w. Let h be w\/(-16) - (-14)\/4. Solve -5*c + a = -4*r, -h*r = -6*c + c + 28 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9416965 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ddddudjjjwjdwjdujdd. Give prob of sequence udj.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*g + 4 = -12*g. Let c(k) = -k**3 + 6*k**2 - 3. What are the prime factors of c(g)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*v - 88 = -7*v - 5*v for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 1100 (base 3) to base 12\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 12 - 8. Suppose 3*m - p*n - n - 97 = 0, -5*n + 71 = 4*m. Does 12 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1\/(-3)*-1*-21. Let m = d + 33. List the prime factors of m.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 9*n**2 + 15*n + 22. Let g be x(-5). Let u = -110 + g. What is the highest common divisor of 310 and u?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence axx when three letters picked without replacement from xqaxxaaaaaxqaxx.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert -100010 (base 2) to base 12.\nAnswer: -2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 84441 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 50 and 16261925?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 6*l - 1. Give k(-4).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1*-1*63\/(-45).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = q**3 + 8*q**2 + 13*q + 6. Calculate the remainder when 275 is divided by v(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Put 5, 4, 10, 1 in descending order.\nAnswer: 10, 5, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 4824 divided by 12?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -895398.12 to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6 = -2*m - 4*u, 0 = 2*u + 1 - 5 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 - 3 + 5)*(2*u**2 + 3*u**4 - 2*u**2 + (-2*u + 1 - 1)*(-u**3 + 2*u**3 - 2*u**3) + 0*u**4 - 2*u**4 - u**4).\nAnswer: -4*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 2, q: 1, p: 1, r: 2}. Give prob of picking 1 q and 1 f.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 102  (b) -0.5  (c) -4.4  (d) 4  (e) -2\/5  (f) -97\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -409*c**3 - 547*c**3 - 299*c**3 - 160*c**3 - 897*c**3.\nAnswer: -2312*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -494 - -498. Let m be 178\/(-104) + (5\/u - 0). What is the biggest value in m, -0.4, -0.2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 102625 and -0.0373733.\nAnswer: 102624.9626267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 89\/448 and 41\/640?\nAnswer: 4480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*b - 1269 = 7*u - 1300, -2*b - 5*u = -23 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 26332, 53119, 79908, 106699, 133492?\nAnswer: 160287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 210 and 498?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -m**3 + 9*m**2 - 5*m - 2. Calculate i(9).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 4 - 1)*(137*w - 265*w + 140*w).\nAnswer: 24*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from tttttttzttttttttttz. What is prob of picking 2 z and 2 t?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -256231, -1024914, -2306023, -4099534, -6405423, -9223666, -12554239?\nAnswer: -16397118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -299, -345, -415, -503, -603, -709?\nAnswer: -815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3.8 + -1.8. Which is bigger: 8 or p?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 2*k - 2*k - 2 - 5 + 2*k. Let t be o(4). Let x = t + 156. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 8 + -6. Suppose -h = r, 0 = 4*c - 2*h - 48 + 12. Suppose -5*f = -5*a - 4*f + 44, 0 = -5*a - 2*f + 32. Calculate the greatest common factor of c and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3233210331 (base 4) to base 3.\nAnswer: 1211212002210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 (base 12) in base 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -29, -96, -207, -362, -561?\n\"Answer: -22*r**2 - r - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 461513 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -172523, -345786, -519049?\n\"Answer: -173263*y + 740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -2*w**3 - 6*w + 6. Let k(m) = -19*m + 11*m + 1 + 7*m. Determine -12*k(d) + 2*u(d).\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -33760 rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 6 and 363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 13867 and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (26\/624)\/(1\/20) - 2\/6. Which is the second biggest value?  (a) -0.88  (b) g  (c) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = i**2 - 8*i - 5. Determine n(7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1141 a factor of 2902201023?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -31*u**3 + 10*u**2 + 16*u + 16. Let s(k) = 6*k**3 - 2*k**2 - 3*k - 3. Let d(q) = 11*s(q) + 2*v(q). Is d(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -34 (base 7) to base 6\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 48 and 7242756.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = v**2 - 94*v - 8602. What is z(-57)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 38 a factor of -95*(-2 + 0\/(-5))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*i**2 + 483344832*i - 14601389163819264.\nAnswer: -4*(i - 60418104)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-3)\/2)\/((-9)\/12). Solve -4*r + 2*r**2 - 13*r**3 - r**5 + 6*r**4 + 10*r**k + 0*r = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16 = 2*d - 6*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 2f + -25c?\nAnswer: -22d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -274048.00072 - -274057. Let x = a + -9. Round x to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 23 - 23.03. Which is the second biggest value?  (a) 0.2  (b) k  (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -217 + 70 = -3*m - 78 for m.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o = 15, 5*c - o + 2 - 12 = 0. Suppose c*w = 5*w - 6. What is the remainder when 6\/(-15) + (-37)\/(-5) is divided by w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine a so that 94*a**2\/11 - 140*a\/11 - 96\/11 = 0.\nAnswer: -24\/47, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 1546146461 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -8\/19?  (a) -2  (b) -190\/3  (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 594 = -5*p + 14*p. What are the prime factors of p?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-32*n + 32*n - 12*n**2)*(1 + 1 - 3)*(n**3 - n - 2*n**2 + n).\nAnswer: 12*n**5 - 24*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1505.7 - -1441. Let y = -62 - d. Let x = -2.69999965 + y. What is x rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lccqbbn. Give prob of sequence blc.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(114)\/(sqrt(54) + sqrt(6)) - (sqrt(19) + sqrt(38)\/sqrt(2) + -3))**2.\nAnswer: -21*sqrt(19)\/2 + 1075\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 4.7 + -15\nAnswer: -10.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = -3*o + 4*v + 11, -5*o = -v - 53. Let b be (o - 8)\/(3\/(-2)). Let r be 5*(4 + b + -1). Solve -6 = -r*a - x, -3*a + 5*x + 29 = 3 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 8*s**2 - s + 1. Determine y(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((1 + b**2 - 1)*(-3 + 4 - 2) + 22*b**2 - 2*b**2 + b**2 - b + 3*b - b + 2*b**2)*(4*b**2 - 2*b**2 + 0*b**2).\nAnswer: 44*b**4 + 2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-1))**(4\/23)*(d**(-2\/3))**50 assuming d is positive.\nAnswer: d**(-2312\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 930, 928, 928, 930, 934, 940?\n\"Answer: d**2 - 5*d + 934","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = 2*b - 13. Let r be t(9). Let i(w) = w**3 - 4*w**2 - 5*w - 6. Let s be i(r). Let n be (s\/9)\/((-4)\/1518). What is n rounded to the nearest 10?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -34078, -34058, -34072, -34132, -34250?\nAnswer: -34438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (344\/(-24) + 12)*13*(-18)\/2184?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 82 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = 32*c + 27 - 38 - 52 + 2 - 61. Give x(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(8)\/sqrt(4) - sqrt(2))*4 - sqrt(96)\/sqrt(12))**2 + sqrt(2) + (sqrt(10)\/sqrt(5)*-1)**2 + (sqrt(2) - (1*sqrt(288))**2))*-4.\nAnswer: -8*sqrt(2) + 1112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + sqrt(17) + 5 + sqrt(17) + -2 + sqrt(51)\/(6*sqrt(33)\/sqrt(11)).\nAnswer: 13*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + 3 + sqrt(99)*-4 + (2*(sqrt(99) + 2) - (sqrt(99) + 1 + 4)))**2.\nAnswer: -18*sqrt(11) + 892","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -7*s**2 + s - 1. Let v be r(2). Let n be (-1)\/(-3) + 3\/v. Let y = -5 + 4. Which is the biggest value?  (a) y  (b) 4  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (17 - 19) + (11 - 1 - 23)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**(-3)\/d**(-1\/3))\/(d**1)**(-14\/5))**(-41) assuming d is positive.\nAnswer: d**(-82\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 23 (base 10) to base 5.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1116 - 12*v**3 + 1116 + 10*v**2 + (5*v**2 + 0*v**2 - 3*v**2)*(-1 + 1 - 2*v).\nAnswer: -16*v**3 + 10*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.19 take away -148.8?\nAnswer: 148.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) be the first derivative of -z**4\/4 + 10*z**3\/3 + 10*z - 2. What is the units digit of k(10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2  (b) 39318  (c) -0.23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/2?  (a) -0.2  (b) -7\/43  (c) 3  (d) -1  (e) 9650  (f) -1\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8382 is divided by 1442?\nAnswer: 1172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -464413 divided by -464413.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 3805.76 micrometers?\nAnswer: 3805760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o = -2*o + 252. Let q(i) = -4*i + 1. Let b be q(-5). What is the highest common factor of b and o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -24399 (base 16) in base 6?\nAnswer: -3102533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -26160233 not equal to -26160231?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.039 and -30338?\nAnswer: 30338.039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/(-15))\/((-14)\/(-84)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 53 divide 41112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(132) - -1*(sqrt(132) + sqrt(132)*2)) + -6*2*sqrt(132) + sqrt(132))\/(sqrt(12)*2*5 - (-1*sqrt(1200) - sqrt(12)))*2.\nAnswer: -2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-50)\/40*(13 + (-7 - 8)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (2*(-2)\/(-6))\/(-2). Let c = 41.37 + -41.3. Is c bigger than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1750 and 33261750?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3 - 4) + (47 - 23) + 0.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 28 divide 4003?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (10\/(-6) - -2) + 1\/6\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yvy when three letters picked without replacement from zyyyyyyvzvy.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -30 - (-69 + 28 - -24 - -30)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is j in -5*j**4 + 58570*j**3 + 938125*j**2 + 3226110*j - 4222800 = 0?\nAnswer: -9, -8, 1, 11730","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of 6\/(-2) - (-17 + 6 + -136)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0 - -2. Suppose s + 5 = -5*z + 10, 3*s - 32 = p*z. Calculate the remainder when 315\/s*(-4)\/(-6) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = 259*u + 6. Let t(q) = -4485*q - 104. Let m(b) = 52*s(b) + 3*t(b). Let d(j) = -2*j + j - 2*j. Calculate d(m(z)).\nAnswer: -39*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) be the third derivative of g**5\/60 - 7*g**4\/2 - 143*g**3\/3 + 522*g**2. Differentiate w(t) wrt t.\nAnswer: 2*t - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2802 and 3018?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 10823276?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) be the third derivative of -i**9\/3024 - i**8\/1680 + 2*i**3\/3 + 4*i**2. Let k(h) be the first derivative of n(h). Find d such that k(d) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 24684.\nAnswer: 2, 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express -5671*w**2 - 9752 - 9743 + 29241 - 9746 as h + v*w**2 + i*w and give v.\nAnswer: -5671","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*y + 6*y - 3*y)*(-y - 3 + 3)*(6*y**2 - 28 + 28).\nAnswer: 12*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -8c45b4a - 2?\nAnswer: -8c45b4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 10 + -14. Let t = 11 - 8. List the prime factors of (t\/5)\/(j\/(-100)).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 9531130?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -t + 5*h + 386, -2*t + 435 = -5*h - 322. Suppose 0 = -4*l - 59 + t. Suppose -5*y = -17 - 48. Calculate the greatest common factor of l and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8 = 2*s + 12*f - 9*f, -5*s = 4*f - 6 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.2*-0.27.\nAnswer: -0.054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = 2*t**2 - 5*t + 2. Let p be l(3). Suppose 4*y - r = -2525, -p*y + 2*y = 5*r + 1865. What is y rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c + 63 = -2*l, 2*c - 16 = 5*l + 5. Calculate the remainder when 142 is divided by c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0 + -4. Let f = 10 + d. Are 6 and f nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2bb + -2?\nAnswer: -2bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p + 5*m - 14 = 0, 3*p = 2*m + 2*m - 2. Which is the nearest to 0.3?  (a) -5\/3  (b) 0  (c) -2  (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*w + 4*w - 3*u + 63 = -11*w, 3852*w - 3847*w + 74 = -u for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -406217 - 5?\nAnswer: -406220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1504 is divided by 58?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) -4  (b) -34  (c) 1\/3  (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 304\/35 + -3849\/560. What is the common denominator of (-114)\/32 - 2\/8 and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.0283 - -0.0717. Sort m, -0.065, 5 in ascending order.\nAnswer: -0.065, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f*f**(-27)\/f*f**31 assuming f is positive.\nAnswer: f**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 1 e when two letters picked without replacement from velev?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -30, -121, -266, -459, -694, -965, -1266?\nAnswer: -1591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -97, -25, 79, 203, 335, 463, 575?\n\"Answer: -2*q**3 + 28*q**2 + 2*q - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -h**2 + 1363*h - 458436.\nAnswer: -(h - 759)*(h - 604)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6400384164.\nAnswer: 2, 3, 177788449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1 + 0. Let o be (248315\/(-15))\/(1 - 354\/(-18)). Let l = o - -801. Which is greater: s or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 14a (base 11) to base 16.\nAnswer: af","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 573886 divided by 573886?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) be the third derivative of -p**4\/24 + 2*p**2 - 40*p. Determine k(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.847907 minus 9044.5204?\nAnswer: -9045.368307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Do -19\/15999 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Determine n, given that -3*n**4\/5 - 19818*n**3\/5 + 7924428*n**2\/5 + 31935432*n\/5 + 32014656\/5 = 0.\nAnswer: -6984, -2, 382","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-6*-1*sqrt(1944))\/(sqrt(32)\/sqrt(4)*1 + sqrt(48)\/(sqrt(24)\/sqrt(4))))**2*3*-2.\nAnswer: -13122","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) be the third derivative of -3*p**4\/8 - 11*p**3\/3 + 8*p**2. Let z be v(-5). Calculate the lowest common multiple of 3\/(3\/2) + -5 + z and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*m + 2*m + 4*m)*(m - 5*m + 3*m) + 11 - 11 + 102*m**2 - 27*m**2.\nAnswer: 73*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 315 and 140?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-294*g + 393*g**4 + 294*g)*(2 + 3 - 3)*(1 + 3 + 0)*(4 + 0 - 2).\nAnswer: 6288*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 95, 264, -3 in descending order.\nAnswer: 264, 95, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 2\/9 and -81\/532420?\nAnswer: 4791780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 7885875 to the nearest integer?\nAnswer: 2808","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 5*(-16)\/(-20) - (-78)\/(-21). Sort y, 1, -2, 3 in ascending order.\nAnswer: -2, y, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 228365 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) be the first derivative of -4*o**7\/105 + 17*o**4\/12 - 3*o**2 + 16. Let n(q) be the second derivative of t(q). Find the second derivative of n(k) wrt k.\nAnswer: -96*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4051 - -4052. Let w be (-2)\/(-1) + 7\/(-3). Which is the closest to -0.3?  (a) -5  (b) w  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -59a4 + 16b?\nAnswer: -5839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Solve 440029 = c - 5*t + 439969, -5*c + 53*t = -664 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 2\/45 of a hour?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 69, 156, 243, 330, 417?\nAnswer: 504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -5056 + 8703. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 111\/5*t**2 - 108*t + 243\/5 - 6\/5*t**3.\nAnswer: -3*(t - 9)**2*(2*t - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*s**3 - 43*s**3 - 51*s**3 - 36*s**3 - 46*s**3 + 202*s**3.\nAnswer: 39*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*z**2 - 109375917*z.\nAnswer: -3*z*(z + 36458639)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -4 - -6. Let l = -0.0479 - -4.7079. Let u = l + 0.34. Sort -0.4, b, u in descending order.\nAnswer: u, b, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = p**3 - p - 1. Let i(l) = -2*l**3 + 2*l + 2. Give -3*i(u) - 5*m(u).\nAnswer: u**3 - u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 131.6879209 to 2 dps.\nAnswer: 131.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) be the third derivative of -r**8\/10080 + r**7\/1680 + r**6\/240 - r**5\/30 + 3*r**2. Let c(w) be the third derivative of b(w). What is c(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in seventy-six fifths of a microgram?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 3) in base 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -g**4 + 12*g**3 + 174*g**2 wrt g.\nAnswer: -24*g + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:17 PM and 5:08 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 507*h = 939*h - 638*h + 11536 for h.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -514744 by 2.\nAnswer: -257372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -27.486 and 18?\nAnswer: 45.486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*k + 2 - 2 + (11*k - 26*k - 2*k)*(-1 - 2 + 1).\nAnswer: 31*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -p - 6370 + 6361 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*v**3 + 261634*v**2 + 8564518000*v + 521462511848.\nAnswer: 2*(v + 61)*(v + 65378)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -926610*n**3 - n**2 - 2301048*n?\nAnswer: -5559660*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -63*t**2 - 14335*t + 43000. What is k(3)?\nAnswer: -572","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 4  (b) -393  (c) 2\/49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o**5\/3 + 9098*o**4\/3 + 7969644*o**3 + 4274983490*o**2\/3 - 37853416619525*o\/3 + 50447911413500 = 0. What is o?\nAnswer: -3365, 4, 993","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -86\/9, 1, -3, -2\/11, 41, -2, -7\/2?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 h and 1 a when four letters picked without replacement from aahahhahahhhaahhahaa?\nAnswer: 80\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/5 in -634, 0, 5.89?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((s**2 - 1 + 1)*(-2*s**3 + 4*s**3 - s**3) - 9*s**5 - 2*s**5 - 12*s**5)*(0 - 1 - 4).\nAnswer: 110*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = m**2 - 240*m + 4840. Give j(218).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 9796 and 489800.\nAnswer: 489800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 316?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 41357596 - 41356981.99418. Let r = n - 614. Round r to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = s**2. Let r(u) be the third derivative of -u**5\/60 - 4*u**2. What is n(r(z))?\nAnswer: z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -3*((-19767)\/(-693) - 29)?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 1.360596 centuries?\nAnswer: 0.1360596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j**2\/5 + 6089*j\/5 + 54882\/5 = 0. What is j?\nAnswer: -9, 6098","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 17017 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/103, 5, 1785, 8 in increasing order.\nAnswer: 2\/103, 5, 8, 1785","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -643*o + o**2 + 643*o + 0*o**2.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = q. Let m be 10\/(-4)*(-2 - 0). Suppose 10 = 5*i + m*u, -i + 8 = -2*u - 0. Let n(l) = 4*l - i*l - 2*l + 4*l. Give n(y(d)).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 19.32 + -19. Let m = w + 0.08. Let z = -0.2 + 0.1. What is the closest to z in -0.2, m, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 35243 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3464.5 - 3464.499957814. Round j to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*t + 6 = 4*t. Let v = t + 11. Suppose 14*b + 262 = 1494. What is the highest common factor of v and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -29 + 30. What is the nearest to -0.1 in 0.4, 4, l?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + 9*o + 3 = 3*k, k - 1 = -2*o. Let a be ((-248)\/(-217))\/(0 - 2\/(-56)). Let y be (2\/30)\/(3\/5). What is the third biggest value in a, y, -3, k?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 57671 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) be the first derivative of -v**8\/336 + v**7\/70 - v**6\/40 + v**5\/60 + 2*v**2 - 5. Let b(o) be the second derivative of s(o). Factor b(t).\nAnswer: -t**2*(t - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 27932426.\nAnswer: 2, 31, 14533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hnhn when four letters picked without replacement from nnhxhnnhhrrrrnnnnnxj?\nAnswer: 12\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -409684140 rounded to the nearest one hundred thousand?\nAnswer: -409700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1232873.\nAnswer: 211, 5843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 14, 26, 36, 44?\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 7693 and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*c**2 + 7*c**2 - 37*c**2)*(3*c - 2*c - 13 - 4*c).\nAnswer: 108*c**3 + 468*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -113, 3, 625, -50 in decreasing order.\nAnswer: 625, 3, -50, -113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 83 divide 191555285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = d**3 + 7*d**2 + 7*d + 11. Let c be r(-6). Find the third derivative of 9*z**5 - 21*z**2 + 10*z**5 - 15*z**c wrt z.\nAnswer: 240*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -u + 2*u**2 + 24 - 3*u**2 - 29. Suppose 0 = -d + 3*d - 6. Let s(n) = -2*n**2 - n - 6. Let j(l) = d*s(l) - 4*q(l). Give j(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.7 + -4.55?\nAnswer: -1.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1279*r - 370*r = 22643 + 3718 for r.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 2015 (base 6) to base 12\nAnswer: 30b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -h**3*v - 23*h**3*y + 2*h**3 + 4*h**2*v - 146*v*y - 283*v + 8784*y + 14 wrt v?\nAnswer: -h**3 + 4*h**2 - 146*y - 283","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = o - 49. Let l be i(15). Let z be (-436)\/22 + 2\/(-11). Let m = z - l. Does 11 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is y in -3*y**2\/2 - 3648*y - 2217984 = 0?\nAnswer: -1216","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.033 - 36642740.\nAnswer: -36642739.967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -b0 (base 12) to base 11\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (10\/65)\/((-6)\/(-156))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3625150 and 80?\nAnswer: 29001200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 7, k: 2, i: 1}. Give prob of picking 4 v.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2096\/7 - -300. Let o(q) = q**2 + 8*q + 1. Suppose -4*t + 2*t - 16 = 0. Let g be o(t). What is the nearest to g in -1, -1\/3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*((1*sqrt(12)\/sqrt(4))**2 - ((sqrt(21)*1 - sqrt(21)) + sqrt(21))\/sqrt(7)) + -4.\nAnswer: -10 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10379?\nAnswer: 97, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -17, -28, -35, -38?\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -6\/7  (b) 2\/3  (c) -2\/5  (d) 126  (e) -0.398\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -135045 divided by -15?\nAnswer: 9003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -3.7 and 206360.\nAnswer: -763532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1497320 is divided by 746780?\nAnswer: 3760","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 3*c + 4. Let i = -293 + 287. Let t(p) = 4*p + 5. Determine i*h(d) + 5*t(d).\nAnswer: 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express 43*s**3 + 39 - 42*s**3 + 61*s**3 - 31*s**3 as b + z*s + k*s**2 + m*s**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 92.0058 litres to millilitres.\nAnswer: 92005.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -199 divided by -18\nAnswer: 199\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -3 - -863 - (-84)\/7. What is the highest common factor of 1199 and g?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) be the first derivative of t**5\/120 - t**4\/8 + 17*t**3\/3 - 20. Let u(h) be the third derivative of b(h). Let n be u(6). Solve 0 = -x + n*x + 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 3.95 - 8.95. Suppose 2*j + 2*t - 2 = 6*j, -3*j + 4*t = -1. Which is the second biggest value?  (a) 1.4  (b) l  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -26*f - 1248. What is m(-49)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*h - 8 = 15*h. Factor -79*i**2 + 28*i**h - 5*i**5 - 100*i**3 - 40*i**4 - 29*i**2.\nAnswer: -5*i**2*(i + 2)**2*(i + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 33 divide 18645?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 3399 divided by -5\nAnswer: -3399\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 33*u - 1137 = -8*a + 2*a + 9*a, -5*u + 3*a - 5*a = -160 for u.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1409990*b**4 + 582*b + 203.\nAnswer: 16919880*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 139021, 1\/11, -5\/4, 2.\nAnswer: -5\/4, 1\/11, 2, 139021","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Work out -125152957388 + 0.033.\nAnswer: -125152957387.967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**2*p\/p**(1\/11)*p*p**(-8\/5)\/(((p*p**(2\/11)*p)\/p)\/p))**21)**(-38) assuming p is positive.\nAnswer: p**(-93366\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = q + 2*q + 5*j + 34, -5*j = 4*q + 37. Let c be (-3)\/(-18)*q*(-9 + 1). Solve -9 + 1 = 3*w - c*m, -5*w - 5 = -5*m for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1512 and 280?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -3891 divided by 2470\nAnswer: -3891\/2470","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: What is (-55)\/330*2\/2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 3, g: 4, v: 4, u: 1, o: 6, t: 1}. What is prob of sequence ovg?\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/6, 1.4, -1\/2, 2, 17, 2\/3.\nAnswer: -1\/2, -1\/6, 2\/3, 1.4, 2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4880, 4818, 4780, 4772, 4800, 4870, 4988?\nAnswer: 5160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -57*t**3 - 26*t - 8. Is z(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 601*v**2. Let u(m) = 408*m. Determine u(k(p)).\nAnswer: 245208*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000118258 rounded to six dps?\nAnswer: -0.000118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 553 minutes after 10:17 PM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = k**3 + 14*k**2 + 18*k - 9. Determine q(-12).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2\/21  (b) -0.2  (c) 21  (d) 1  (e) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2319424979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -51.794 - -52. Let q = p - 3.206. Sort -1\/5, 4, q in decreasing order.\nAnswer: 4, -1\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 511*u - 13129 = -180*u for u.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -s**3 + 5*s**2 - 4*s - 6. Let u be q(5). Let k be (-2)\/4 - u\/4. What is the second derivative of -j**3 - 2*j**3 - 5*j**3 - k*j wrt j?\nAnswer: -48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 31, 50, 91, 160, 263, 406, 595?\nAnswer: 836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -1197\/530 >= -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (65 - 22*p + 60 - 127)*(0*p + 0*p - 4*p).\nAnswer: 88*p**2 + 8*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 1088299*n - 1060385?\nAnswer: 1088299","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2)\/(-4*7\/336). Solve r = -3*k + 36 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 38603\/11223 - -6\/1247. Let j = z + -34\/9. Let q = 7.7 - 6.7. Which is the nearest to 3\/13?  (a) j  (b) 0.5  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 6\/24 - 54\/(-8). Let z = 5 + -3. What is the derivative of -2 - 1 - 4 - z - w*o**4 wrt o?\nAnswer: -28*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 30524 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 300 is divided by 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.03 from -969.0544418566.\nAnswer: -969.0244418566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3197 - 3197 - 40*x**3 + 35*x**3.\nAnswer: -5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*g*w**3 + g*w**2 + 76*w**3 - 26*w**2 wrt w?\nAnswer: -12*g + 456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -14 + -6 + (-4 + -1 - -1) + 80 + -146?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 942332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.1 + 0.1. Let y = w - -1. Let z = 0.6 - y. What is the second smallest value in 3, 2\/9, z?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_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: Work out 0.05 + 36.269.\nAnswer: 36.319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 6*n**4 - 158*n**3*y - 13*n - 4*y - 3 wrt n.\nAnswer: 72*n**2 - 948*n*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 0.15 - 1.07168\nAnswer: -0.92168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 618020461.\nAnswer: 618020461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.9  (b) -0.3  (c) 3  (d) 0.2  (e) 17  (f) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*a - a - 5*g + 9890, 0 = -4*a + 3*g + 39468. Find the common denominator of 2\/(-7) + 10387\/a and 29\/33.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6339.28 + -2465?\nAnswer: -8804.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 608565887*f - 608565839*f + 0 + 0.\nAnswer: 48*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 165452?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*f - 890 = -2914. Calculate the greatest common factor of f and 1416.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 820 is divided by 233?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.959 - -0.941. Which is the closest to -1\/4?  (a) 2  (b) 4  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2 - (0 + 1 - 3). Suppose -2*n + r*s = 36, 2*s - s + 11 = -2*n. Let y(u) = u**3 + 9*u**2 + 4*u - 10. What is the remainder when 85 is divided by y(n)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -53343, -53346, -53349, -53352?\n\"Answer: -3*m - 53340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 10*t - 23*t + 312. Calculate the lowest common multiple of 9 and t.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 719*y + 116 - 131615 = 1558*y + 1468*y for y.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 12, 0.4, 0.02, 10.2, 0.5, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = 9*r + 8. Determine i(8).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(-5\/12)\/f)**43)**(-38) assuming f is positive.\nAnswer: f**(13889\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is -118\/1041 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4 or -235?\nAnswer: -235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 4374, 8748, 13108, 17448, 21762?\n\"Answer: -h**3 - h**2 + 4384*h - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 e, 1 d, and 1 r when four letters picked without replacement from {r: 1, e: 5, d: 4}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 1208 - 2637*v**3 - 3425*v**3 - v**2 + 5343*v**3 wrt v?\nAnswer: -2157*v**2 - 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2090\/(-280) - (1 - 9). Are 0 and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2253*t - 2265*t + 216 = 0. Solve -t*x = -11 - 7 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -303 + 294. Which is greater: -96\/11 or z?\nAnswer: -96\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1442 > -1536?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -129 + 137. Suppose x + 0 = -3. Which is the second smallest value?  (a) 1\/2  (b) -4  (c) p  (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 95 and 8550?\nAnswer: 8550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -13\/36 and 113\/7992.\nAnswer: 7992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n - 2 = -27. Suppose -6*y = -n*y + 49000. Round y to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 80022010?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:58 PM and 1:12 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 759 + -1220. Let p = -205 - k. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.04703 + -0.05297. Let d be (1 + -841)\/(-4) + 3. Is d less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -195450*z + 1. Let t be f(-1). Let k(d) = -d**3 - 2*d**2 + d + 244549. Let q be k(0). Let l = q + t. Round l to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -263 = -3*n - a - 4*a, 4 = -2*a. Let f = n + -84. Let r = -20 - -47. Calculate the remainder when r is divided by f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4500098213.\nAnswer: 13, 41, 73, 115657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:43 PM and 12:03 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:15 PM and 12:21 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2102?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 5502246?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -669*z - 895. What are the prime factors of n(-4)?\nAnswer: 13, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1004436.\nAnswer: 2, 3, 27901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*i + 7*x = 35, -4*i + 30 - 5 = -0*i + 5*x for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 29 in 3, 0.3, 110?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6057 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -163, 2, 3, -3 in descending order.\nAnswer: 3, 2, 1, -3, -163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2999987*o**2 + 562014 wrt o?\nAnswer: 5999974*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -q**3 + 18*q**2 + 14*q - 352. Does 7 divide c(17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 11 - 8. Let g = 126 + -124. Which is the smallest value?  (a) p  (b) -3  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 5854411 and 89829?\nAnswer: 1109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 5*(0\/(-1) - -1). Suppose t*x - 2*x = 48. Is 71\/4 - (-4)\/x a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -403\/6, 3\/5, -15, 0.3, -2\/15 in descending order.\nAnswer: 3\/5, 0.3, -2\/15, -15, -403\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3699 - 2000 + 3865 = -428*n for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -20 (base 3) in base 4?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + -7 - -2 - (9 + -9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 901*m + 22229 + 47845 = 1616*m + 1346*m for m.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*g + 1951 = 5812. Let c = 358 - g. Solve c - 3 = 3*q - 5*i, -i = 2*q - 7 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*t - 73*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 210620 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*z - 18 - 4 = 0. Solve -2*l + 5*l + 13 = -2*h, -4*h - z*l - 6 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27 = 2*q + 7*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 4\/3, 0, -1\/4, -0.3, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 41 - 97. Let r be ((-48)\/y)\/(1\/91). Suppose -566 = -4*p + r. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((v\/(v**(2\/17)*v)*v)\/((v\/(v\/v**(-1)*v*v))\/v*v))\/(v**0)**(-28))**(-28) assuming v is positive.\nAnswer: v**(-1848\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3464 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lbdff. What is prob of sequence dl?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -26*s + 6. Let a(i) = 9*i - 2. Let r(d) = -17*a(d) - 6*v(d). Does 7 divide r(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1126347?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -52151880 + -32.\nAnswer: -52151912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 121\/212364312 and -101\/16.\nAnswer: 424728624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-23 - 14)*(13\/(-12))\/(-13). Which is bigger: o or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w = 3*i + 29 - 134, 3*w - 4*i + 70 = 0. Is (-4)\/10*w\/2 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -118*r = 105528 - 263412. List the prime factors of r.\nAnswer: 2, 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 246 - -7770?\nAnswer: 8126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 12762 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2\/(-4)*(-11 + 3). Suppose x*i + 2*p - p - 27 = 0, 0 = -i - 2*p + 12. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-2)\/9 + 22224\/5967. Let l = 44\/13 - k. Which is bigger: l or -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11 (base 4) to base 3\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = 59*j**2 + 160*j. Let z(a) = -12*a**2 - 32*a. What is 2*r(v) + 11*z(v)?\nAnswer: -14*v**2 - 32*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 3\/2, -0.031, 53422?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -60 + 105. List the prime factors of s.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*i + 3*v - 1142, 5*v = 4*i - i - 1675. Suppose -2*a - 29 = 5*d - i, -2*a = -2*d - 550. Does 21 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 29*j**3 + j - 4. Let w be v(1). Suppose w*r - 40*r = 70. Let s be (-1)\/9 - (-1)\/3. Which is the closest to -2?  (a) 1\/6  (b) r  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -62, 2, 1, -5 in decreasing order.\nAnswer: 2, 1, -5, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 128 + -36. What is the remainder when f is divided by 3553\/76 + 2\/8?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2.3 - -2. Let b = -30 + 33. Let q(n) = n**3 - 4*n**2 + 2*n. Let h be q(b). What is the nearest to 0.1 in h, l, 4\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -o**3 - 7*o**2 + 7*o - 7. Let l be q(-8). Suppose -h + 4 - l = 0. Suppose 4*r - 7 = h*k, k - 2*r = -2*k + 1. Solve 2*p + 1 + k = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2982 is divided by 272?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.5  (b) -1  (c) 2  (d) -1.61\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -7*q**2 - 2284*q - 2. Let v(l) = -31*l**2 - 9144*l - 9. Let a(w) = 18*m(w) - 4*v(w). Determine p so that a(p) = 0.\nAnswer: -2268, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = p + 4. Let t be g(-6). Let s be 0 + (2\/t - -2). Let i(f) = 2*f + 1. Let u be i(s). Solve 4*w - 22 = -d, -w + 3*d + u - 4 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18804 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 6860\/(-588)*7\/(49\/(-15))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2013 and 6717?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1575 is divided by 93.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor 145*x**3\/8 - 289*x**2\/4 + 143*x\/2 + 1.\nAnswer: (x - 2)**2*(145*x + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 72*h**5*m - 1274*h**3*m**3 - 2*h*m**3 - h*m + 76105*m**2 wrt h?\nAnswer: 1440*h**3*m - 7644*h*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is -12538790 greater than -12538785?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t, 1 s, and 1 o when three letters picked without replacement from skzsossttokz?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 3, l: 11}. What is prob of picking 2 l?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -4 divided by 223\nAnswer: -4\/223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.534768 litres to millilitres.\nAnswer: 534.768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 3*l. Let f(p) = -374*p**2. Determine j(f(c)).\nAnswer: -1122*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 3016.066 centimeters?\nAnswer: 30160660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(-2 + (2*-2*2*sqrt(5) - ((sqrt(720) + -1)**2 + 0))) + 2.\nAnswer: -4336 + 96*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-6)\/(-14)*10\/15*1. Let j = -4 - -4. Sort b, 0.11, j in descending order.\nAnswer: b, 0.11, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 21 - 19. Let t be a + 3 - (-54)\/(-10). Which is greater: 2 or t?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + 6 + (-1 - 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 99684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1 - 23*d**4 - 36*d**4 - 28*d**4 + 21*d**4 - 9*d**2 wrt d.\nAnswer: -1584*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44*f - 2*r - 2062 = -46*f, -2*f + 2020 = 5*r. Is 1025 not equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -116cf (base 16) to base 4\nAnswer: -101123033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 1 u when two letters picked without replacement from {m: 3, u: 2}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -28155 + 28173. Solve k = -38*o - 20 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*c + 44 + 12 = 0. What is the common denominator of (-1)\/(-2) - 69\/c and 29\/70?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20660*a**2 - 20863*a**2 + a**3 - 11*a**3.\nAnswer: -10*a**3 - 203*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = 16*y**2. Let f(i) = -58*i - 782. Let o(w) = -10*w - 138. Let k(d) = -6*f(d) + 34*o(d). What is p(k(x))?\nAnswer: 1024*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -761*s - 1640*s - 79233 = 0 for s.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -700, -2326, -4868, -8332, -12724, -18050, -24316, -31528?\nAnswer: -39692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 7432 + -4?\nAnswer: 7428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -8, 2, 18, 40, 68, 102, 142?\nAnswer: 188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = p**2 - 10*p + 13. Let j be w(8). Let t = -20 + 12. Let d = t - -6. What is the closest to 0.2 in 0.4, d, j?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 18\/1147525 and -46\/15.\nAnswer: 3442575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in eleven tenths of a meter?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -133*d + 107 + 127 - 401 + 167.\nAnswer: -133*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-3 + 63)\/3*4\/5. Is 32\/k + 2 + 78 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-4)\/(-5))\/(1\/5). Suppose -27 = -m*s + s. Suppose 337 = -20*j + 1597. Calculate the greatest common divisor of j and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(200) - (sqrt(200)*-4 + -1))**2.\nAnswer: 100*sqrt(2) + 5001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -b9d5c4 (base 14) to base 11\nAnswer: -361228a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 300*v = 303*v - 6084000. Suppose -43*h + 56*h - v = 0. Round h to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 41411, 42209, 43007?\nAnswer: 43805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3\/7?  (a) 3\/130  (b) 2\/45  (c) -2\/5  (d) -2\/3  (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 326302 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1197 - 417394.\nAnswer: -416197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 1620.15 to the nearest 100.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) -55  (b) -0.1  (c) -2\/5  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (p**3 - 3*p + 3*p)*(-1 - 4 + 0) - 2*p**3 - p**3 + 2*p**3 + (0 + 2 - 3)*(5*p**3 - 2*p**3 - 2*p**3) + 0*p**3 + p**3 - 2*p**3.\nAnswer: -8*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 92302 is divided by 4650.\nAnswer: 3952","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -53\/71130 and -109\/43972566.\nAnswer: 219862830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 2.4287955us?\nAnswer: 0.000000040479925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = i**3 + 7*i**2 - 15*i + 3. Give n(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -2678*k**2 + 1. Let c be j(-1). Let p be ((-3374)\/(-112))\/((-2)\/(-178)). Let h = c + p. Calculate the common denominator of -33\/16 and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-20)\/54)\/(18760\/(-641592))\nAnswer: 38\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 503.947 decades in centuries?\nAnswer: 50.3947","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 25 - 9. Let p = 14.4 - g. Let w = -1.65 - p. What is w rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1483 is divided by 483?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 47328973, 47328962, 47328951, 47328940?\n\"Answer: -11*r + 47328984","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -2315 + -103030?\nAnswer: -105345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -221 + 1215 = 14*g. Suppose -g = -19*p + 100. Solve -4*b - 2*n - 10 = 0, -4*b + 7*b + 2*n = -p for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.6995 to 1 dp.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.5 and -464172.\nAnswer: 232086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r + 4*k = 32 - 92, 0 = -5*r - 2*k - 63. Let l = r + 13. Suppose 2*g - 2 = 3*g, -3*a + 13 = -l*g. Solve -a*m = -2*m - 3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -5*c + 73. Let n be r(15). Is (-1396)\/n - (4 + (-4 - 1)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1664361303?\nAnswer: 3, 11, 2281, 22111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -24900 to the nearest 1000.\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) be the first derivative of g**4\/4 - 4*g**3 + 13*g**2\/2 - 16*g + 12. Let x be d(11). What is the units digit of (95 - 1)*3\/x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -a**3\/6 - 1307*a**2\/2 - 2612*a - 7834\/3.\nAnswer: -(a + 2)**2*(a + 3917)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 59499?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 36 + -9 - (21 - 3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-329 - -291)\/(3 + -2)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:01 PM and 7:11 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 495 and 315.\nAnswer: 3465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 969.0991 micrometers?\nAnswer: 0.0009690991","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3 + 8. Let k = -0.01 + -3.99. Let z = k + 4. What is the closest to z in 0.2, g, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) be the third derivative of -k**4\/4 + k**3\/3 - k**2 - 515*k. Let o(w) = -19*w + 7. Determine 7*c(a) - 2*o(a).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.0962419213 + 40.9037569787. Let c = 750 - 709. Let m = g - c. Round m to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -18675080 divided by -115\nAnswer: 162392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*t + 2*t - 3*t)*(2 - 4 + 0) + 10530 - t - 266 - 887.\nAnswer: -3*t + 9377","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bub when three letters picked without replacement from uububbbb?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-12)\/(3\/1)*-1. What is the greatest common factor of 76 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 9  (b) -37  (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -v**2 + 6*v + 7. Let p be u(7). Suppose p = -5*j - 2*a + 62, 3*a + 40 = 4*j + 7*a. Let n = j + -9. Is 5 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(980))\/(sqrt(50)\/((3*sqrt(5) - sqrt(5)) + sqrt(5))).\nAnswer: 42*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 - -6 - 1) + 21 + -3 + (7 - -16)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3965 + 28*o - 2*o**2 + 3965 + (-6*o + 8 - 8)*(0*o + 4*o - 3*o) - 5 + 5 + 2*o**2 + 4*o**2 - 4*o**2 + o**2)*(5*o**3 + 3*o**3 - 4*o**3).\nAnswer: -20*o**5 + 112*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 830389224.\nAnswer: 2, 3, 7, 19, 37, 79, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) be the second derivative of -u**5\/50 + u**4\/30 + 8*u**3\/15 - 12*u**2\/5 + 82*u + 4. Find m such that q(m) = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -56, -30, 44, 190, 432, 794, 1300, 1974?\nAnswer: 2840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -12 - 23?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-9)\/27 - (-1)\/3. Suppose 3*r - 26 - 55 = y. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 14 + -16. Let a = 45 - 47.5. Let m = a - y. What is the nearest to -0.4 in 2, m, -5\/2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 176 and 165836?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = 99*l**3 - 54*l**2 - 54*l - 54. Suppose -27*g = -32*g + 270. Let t(k) = 9*k**3 - 5*k**2 - 5*k - 5. Calculate g*t(p) - 5*v(p).\nAnswer: -9*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -5990, -4251, -1358, 2683, 7866?\nAnswer: 14185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3 and 41.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -4, -12, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -21934 minus 0?\nAnswer: -21934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12579622 is divided by 6045?\nAnswer: 6022","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -163\/3374820 and 67\/810?\nAnswer: 30373380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (60\/(-25))\/(((-3465)\/10)\/(-11)*3\/70).\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -i**2 + 133*i - 1822. What is the remainder when l(24) is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-3 - -2) + (210\/35)\/6. Solve y = 258*d - 255*d - 21 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3\/8 - -9\/8. Let r = 158.212 - 0.212. Let x = -154 + r. Which is the closest to 0.2?  (a) x  (b) -1  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z, 1 i, and 1 y when three letters picked without replacement from {i: 1, h: 2, z: 5, y: 1}?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 + 5338*a - 1 - 958*a + 5772*a.\nAnswer: 10152*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(80) - sqrt(20))\/sqrt(4) - (sqrt(5) - ((sqrt(20) - sqrt(5)) + -3))**2)*-2.\nAnswer: -2*sqrt(5) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(-2*sqrt(18)*1)\/(sqrt(6) - sqrt(216)\/sqrt(4)).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 1, o: 2, p: 3, w: 4, t: 2, s: 6}. What is prob of picking 4 w?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 162 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(3\/2)*(c\/(((c*c**(-3\/10))\/c*c)\/c))\/c)\/((c*c**(-1)\/c)\/c)**14)**3 assuming c is positive.\nAnswer: c**(447\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -3332 - 0?\nAnswer: -3332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 50252627 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 918 + -293. What are the prime factors of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 + 2\/(-2) - (-103 - -102)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 3*y - 8. Let v be 1\/2 - (-62)\/y. What is the greatest common factor of 112 and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5105172 (base 10) to base 7.\nAnswer: 61251612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20642 - 5373*d - 20642 - 1311*d - 2221*d.\nAnswer: -8905*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 5046 and 174?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 15*(54\/(-15) - -4). Suppose c*q + 0 = -18. Suppose g = 3*g + 4. Are g and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from memnmnmmmmmmmm. What is prob of sequence mm?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -29 divided by -7.\nAnswer: 29\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -2*g**3 - 15*g**2 + 3*g + 6. Give n(-8).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -145369*a + 3052772. What is o(21)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*y**(-1))**(8\/9)*(y*y*y**0*y*y)**(-23)*(y**(2\/7))**17\/((y*y**4\/y)\/(y**(5\/4)\/y*y*y)) assuming y is positive.\nAnswer: y**(-2489\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.4 + -9.7. Let r = 9 + z. Let f = -1.91 - 0.09. Which is the third biggest value?  (a) r  (b) f  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1351020149 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f + 3 = 0, -2*p + 4*f = 14 - 12 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17 = 14*s + 53 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 365.78 to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 + 0 + 4)*(-7681*r + 15368*r - 7680*r - 12) to g*r + v and give v.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-q + 0 + 0)*(0*q**2 + 3*q**2 + 0*q**2 + (-2*q**2 - q**2 + 2*q**2)*(-2 + 0 + 4)) to c + b*q**3 + r*q + a*q**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 159804904 is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4 - 6. Let q be 3 - -1*(-9 - a). Let t = -1 - q. Solve 4*d + d + 24 = -3*s, t*d = 3*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 3 d when four letters picked without replacement from {b: 1, s: 1, o: 1, d: 1, r: 1, f: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (4\/((-80)\/(-54)))\/(13\/65*48\/24)\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -5b - -6?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2) + -2)*-4 + -5.\nAnswer: -4*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*z + 532*z = 36314 for z.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -155 + 311. What is the remainder when j is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in three tenths of a tonne?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 11408190 a multiple of 211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) be the first derivative of b**3\/6 - 3*b**2\/2 - 7*b - 5. Let i(v) be the first derivative of w(v). Give i(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 89 divide 282664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 2 = -5*u, 0 = -6*u + u + 4*h - 8. Suppose u = -4*l - 10 + 130. Let c = -8 - -11. Calculate the greatest common divisor of c and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 5 = 2*v - 29, 3*q = -4*v + 43. Suppose -o + 5 = 1. Solve v*a = o*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4*(sqrt(1300) + -2) - (sqrt(1300) + (0 + sqrt(1300) + sqrt(1300))*-6)) + (-3*(sqrt(1300) + -2) - (2*sqrt(1300) + -5)) + 0 + -5)**2.\nAnswer: 560*sqrt(13) + 5396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -4*f - 1. Let o = 41 + -39. Give l(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 291100 rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*c**2\/8 - 15747*c\/4 + 283203\/8.\nAnswer: 3*(c - 10489)*(c - 9)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -59449 + -35?\nAnswer: -59484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2\/199, 16, -5?\nAnswer: -2\/199","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6459?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:00 AM and 9:10 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -31285 = -4*a - 5*d - 31364, 2*a - 88 = 6*d for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 6\/(-4)*(-10)\/1. What is the lowest common multiple of 5\/(r\/9) + -1 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 10475901 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -16.8828 and 0.0384.\nAnswer: -0.64829952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26*f = -l - 21*f + 1, 3*f = -4*l + 4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (3\/(-2))\/(8\/(-16)). Let w(p) = p - 3. Let i be w(f). Determine c, given that -4\/9*c**2 + 4\/9*c**4 - 2\/9*c**5 + 2\/9*c + i + 0*c**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*z**5 + 5*z**2 + z + 7?\nAnswer: -40*z**3 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b*b**(2\/21)\/b)\/(b**(-6)\/b)*(b*b\/(b*b**(-1\/2)))**(-3))**(12\/13) assuming b is positive.\nAnswer: b**(218\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = p**3 - 7*p**2 + 9*p - 2. Does 4 divide c(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-2\/13)\/w**6*(w*w\/w**1)\/((w**(1\/6)\/w)\/w))\/(((w\/w**(-3\/7))\/w)\/w**4*w**(-4)*w**(-4)) assuming w is positive.\nAnswer: w**(4505\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(13)*-3*3*5 - sqrt(52)\/((sqrt(84)\/sqrt(3))\/sqrt(7)))**2*-6.\nAnswer: -165048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -1933127 less than -25130665\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 840 * -9354\nAnswer: -7857360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*z**3 + 11961*z**2 - 11961*z**2.\nAnswer: -7*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a + r - 50 = -4*r, 3*a + 4*r = 34. Let u = 28 - 43. List the prime factors of (-1)\/2 - u\/a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13751019 is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2, -1\/4, -94\/3, 39?\nAnswer: -94\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((7\/(-3))\/(-7))\/((-29)\/(-3) + -9).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10571227 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from llccaaararc. What is prob of picking 2 c?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 99210020 and 2210?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 259595414 to the nearest integer?\nAnswer: 638","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 3843191447 and -0.1?\nAnswer: 3843191447.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) be the third derivative of -22*r**2 + 1\/70*r**7 + 1\/10*r**6 + 1\/2*r**3 + 0 + 1\/2*r**4 + 3\/10*r**5 + 0*r. Determine b, given that l(b) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 524 minutes after 6:31 PM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -601*d**3 + d**2 - 19*d - 36. Is 83 a factor of z(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -7 + 1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + f - 1)*(-6*f + f + 3*f) - 18*f**2 + 13*f**2 - 33*f**2.\nAnswer: -40*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.57 - 18.62?\nAnswer: -18.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 72105?\nAnswer: 3, 5, 11, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -340763\/12 + 28456. Which is bigger: o or 59?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 52 = -19*d + 147 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let -1\/6*l**4 + 3698\/3 + 86\/3*l**3 - 2465\/2*l**2 - 86\/3*l = 0. Calculate l.\nAnswer: -1, 1, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -o**3 + 3*o**2 - o. Let m be s(3). Suppose -14*p = 7*p - 21. Sort 20, m, p in increasing order.\nAnswer: m, p, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 43\/(-2) - 13215\/1762.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 94\/4 + -2*(-4)\/16. Let p be 13\/((-702)\/u) - 2\/(-9). What is the third smallest value in 0, 58, p, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40 = 5*b - 5*j - 140, 159 = 4*b + j. Let h be 407\/33 - (-2)\/3. Calculate the greatest common divisor of h and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-10 - 3 - 12)*(-1 + 5 - 3) - 5 + 4 + 0)*(-4*l - l - 2*l).\nAnswer: 182*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*t + 7*t = -1497. Suppose 0 = -31*j - 3 + t. What is the highest common divisor of j and 272?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2213708.\nAnswer: 2, 7, 173, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 136989998 to the nearest 1000000.\nAnswer: 137000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 53 * 5.519\nAnswer: 292.507","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d + 101*g = 102*g + 289493, -2*g = 2*d - 115802. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21 = -14*a - 21 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 2 + -5863858?\nAnswer: -5863856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from isssnns. What is prob of sequence snis?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) be the second derivative of -1\/2*c**2 - 1\/3*c**3 + 0 - 167*c + 1\/3*c**4 - 1\/10*c**5. Determine s(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 28078.47ng in milligrams?\nAnswer: 0.02807847","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 762310655 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -1441, -5668, -12685, -22492, -35089?\n\"Answer: -1395*r**2 - 42*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 4472 and 91.\nAnswer: 31304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 40514 is divided by 164.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 698 (base 10) in base 12?\nAnswer: 4a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of ((-2399)\/(-7))\/(139\/4865)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 17310?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -i**3 - 36*i**2 + 177*i + 2355. Determine c(-39).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 688783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -122.6 rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 576193751 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -96486 divided by 10351.\nAnswer: -96486\/10351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + q = -3*w - 318, -5*q + 538 = -w. Suppose -2*r + q = 2*r - 4*t, 0 = -2*r + t + 49. Calculate the greatest common divisor of 11 and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 20728981?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (0 - -4)*9\/(-24). Which is the biggest value?  (a) r  (b) 1\/9  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + 1407\/(-147) + 6.\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Are 1\/126101350 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1 - 5. Let t = 4.97 - 5. Let r = -2.03 - t. Which is the closest to o?  (a) 0.2  (b) 1\/2  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*k - 2059 - 560. List the prime factors of k.\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-6*(sqrt(21) + sqrt(42)\/sqrt(2)))\/((sqrt(3) + sqrt(12))*6))**2 - (5 + 3*sqrt(343) + 3).\nAnswer: -21*sqrt(7) - 44\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 107\/1240 and 123\/9610?\nAnswer: 38440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 34, 23, 2, -35, -94, -181, -302?\n\"Answer: -i**3 + i**2 - 7*i + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*b**2 - 2*b**4 + 2*b**3 + 5*b**4 - 6*b**4 + 4*b**2 to w*b**3 + c*b + g + h*b**2 + m*b**4 and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -l**3 - 6*l**2 - 6*l - 7. Let o be j(-5). Let b(g) = -3*g - 56. Let x be b(-19). What is the remainder when 29 is divided by o*30\/(-4) + x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -8212.94 to the nearest 100.\nAnswer: -8200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 467288?\nAnswer: 2, 58411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 40 = q, 81 - 17 = 5*j + 3*q. Let z be (-5*j\/(-105))\/((-2)\/(-18)). Let a(h) = -2*h + 7. Give a(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = j + 6. Let o be v(-2). Which is greater: o or 16\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (2\/4)\/(2\/24). Let r be 3 + 5 + 2\/(-1). Let c = r - b. Solve -5*s = 4*o - 2, -s + 4*o + o + 12 = c for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from nyntnnutn.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 179*i**3 - 95*i + 8. Calculate f(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 480 and 4740?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 1, e: 5, u: 4, j: 3, y: 2, a: 5}. What is prob of sequence eh?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = 9*b + 346. Let y be a(-38). Suppose 2*m + 3500 = y*o, -49*o + m - 2630 = -52*o. List the prime factors of o.\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -14 + 13.8. Which is the fourth smallest value?  (a) 0  (b) r  (c) 1  (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u - 30 = 2*u. Let o be (-8)\/(64\/u)*-40. Let a = -30 - o. Put 16, a, 2 in increasing order.\nAnswer: a, 2, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -110110011011 (base 2) to base 13.\nAnswer: -177c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(2\/3)*m**(6\/5)*m**(-6)*m**(2\/11)\/m)\/((((m*((m*m\/m**(-2\/13))\/m)\/m*m)\/m*m)\/m)\/(m\/m**(3\/2)))**(3\/19) assuming m is positive.\nAnswer: m**(-424883\/81510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 25 - -23?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*2*(1 + sqrt(448)) + 0 + -4 + -1)**2.\nAnswer: 3264*sqrt(7) + 64801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 1, p: 5, i: 3, y: 3, m: 1}. What is prob of picking 1 m and 3 p?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 4.3, -1\/6, -4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 211 + 83 = -4*j, 4*t = 2*j - 64. Is 8 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s - 21*n + 16*n - 9 = 0, -4*n - 12 = 0. Solve -s*t - 12 = -5*p, -18*p = 4*t - 16*p + 16 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 11\/2  (b) -6  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10010 + 1100?\nAnswer: 11110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2015281090?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -z**3 - 5*z**2 + 5*z - 4. Let u(y) = -y**3 + 3*y**2 + 4*y - 6. Let p be u(4). Let l be w(p). Is -0.1 < l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 169.37 + -55.1. Let a = -271 - -156. Let p = o + a. What is p rounded to one dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 136480, 272959, 409442, 545923, 682396, 818855, 955294, 1091707?\nAnswer: 1228088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tzxz when four letters picked without replacement from mzztwxtwwz.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -g + 2*g. Let o(n) = n**2 - 6*n + 6. Let i be o(g). Let k(r) = -r**3 + r**2 - r + 1. Let d(a) = -2*a**2 + 2*a - 2. Give i*d(y) + 2*k(y).\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -5*v - 8. Let i(f) = f. Let y(j) = 6*i(j) + t(j). Let p(u) = -5 - 25*u - 26*u + 52*u. What is 7*p(b) - 5*y(b)?\nAnswer: 2*b + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = i**2 + i + 16. What is the lowest common multiple of 22 and h(0)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 455.\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 115877.7 + -115878.245227. Let x = -0.3352298 - l. Let w = x + -0.21. What is w 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 value of -4 - (-2 + (-7 + 6 - -7))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -12*c**3 - 5*c**2 - 11*c - 1 - 26*c**3 + 40*c**3 - c**2 to b*c**3 + h*c**2 + r*c + k and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9666*y - 9664*y = d - 22, -1251 = -103*d + 3*y for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -4*h**3 - 6*h**2 + 7*h - 5. Let j(d) = -6*d**3 - 9*d**2 + 10*d - 7. Determine 7*g(y) - 5*j(y).\nAnswer: 2*y**3 + 3*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (30\/8)\/((-18)\/48). Let s be (-54)\/l - 18\/(-30). Suppose s*m = m + 10. Calculate the least common multiple of 32 and m.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 13*h**3 + 8*h**2 + 5*h - 2. Let l(r) = -4*r**3 - 3*r**2 - 2*r + 1. Give 4*g(c) + 11*l(c).\nAnswer: 8*c**3 - c**2 - 2*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = b + 13. Let h be n(-12). Let u be (2925\/100)\/(h\/(-16)). Let a = -211 - u. Is a a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2 + 2 - z**2 - 6*z**2 + 2*z**2 + 2*z**2 + (2*z + 0*z + 0*z)*(4 - 2*z - 4).\nAnswer: -7*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 498736 and 146.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 20000202 (base 3) to base 10.\nAnswer: 4394","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -7*z**2 + z**3 + 37*z - 9 - 36*z + 2. Let o be s(7). Find the second derivative of -3*j**2 + o*j + 2*j + 0*j + 3*j wrt j.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j - 6 - 14 = 0. Solve 0*f = j*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 13\/2607 and 23\/143385.\nAnswer: 143385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 115.999703 + -116. What is n rounded to 5 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 5*j**2 + 32*j + 125. Let u(p) = -4*p**2 - 32*p - 126. Let f(q) = 2*b(q) + 3*u(q). Factor f(c).\nAnswer: -2*(c + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = p**3 - 15*p**2 + 8*p + 29. Let i be w(14). Let y be (-186)\/4*(i\/5 + 5). What is the highest common factor of 27 and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -o**2 - o. Let y(d) = 2*d. Let c = -24 - -28. Suppose q - 1 = c. Suppose -3*i - 3*h = -q*h + 16, 5*i + 2*h = 0. What is i*g(a) - y(a)?\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1 = 3*x - 4*a + 8*a, a = 3*x + 11 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x - 241 + 41 = -5*s, -2*s = 5*x + 179. Let w be (-1)\/4 - (-454)\/120. Let i = 677\/60 - w. Calculate the common denominator of x and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (6 + -12 + 2)*2\/8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -35.0154498 rounded to zero dps?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -k**3 - 5*k**2 - 5*k + 4. Let q(i) = -4*i**2 - 4*i + 4. What is 2*m(w) - 3*q(w)?\nAnswer: -2*w**3 + 2*w**2 + 2*w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 114138642?\nAnswer: 2, 3, 19023107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*r + 19*r + 48*r + 0*r.\nAnswer: 79*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Product of -2 and -31.9.\nAnswer: 63.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -426662*r - 14. Let v be i(3). Round v to the nearest one hundred thousand.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -417 - -393. Let h be (112\/f)\/7*-3. Solve 0 = -h*x + 2*x - x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2 - -20. Calculate the remainder when 87 is divided by f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 48383, 48375, 48361, 48341, 48315?\n\"Answer: -3*h**2 + h + 48385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -120*t + 988 + 411 = 79 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 94826.\nAnswer: 2, 17, 2789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/(-27))\/(54\/(-243))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*p**2 + 5*p**4 + 1 - p**3 - 13*p**4 - 20*p**2 + 14*p**2 as k*p + q*p**4 + l*p**3 + y + v*p**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 247 - 713 = -2*v. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14288236343 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -10 smaller than -26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*a = -2*s - 8 - 14, 4*s = -12 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(-6)\/s)\/(s\/(s\/s**(-2))))\/(s\/(s\/(s\/(s\/s**(2\/3)*s))))**(-4\/13)*(s**(1\/4))**(1\/48)\/(s**2\/(s*s*s\/(s\/(s**2*s)*s))) assuming s is positive.\nAnswer: s**(-2577\/832)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 66\/9 - 2 - 2\/6. Suppose 3*k - 2 + 0 = 4*s, -h*k - 2*s = -38. Solve 0 = 6*v + k for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -9633427.24 times -0.3\nAnswer: 2890028.172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - 3*y = 27, p + 2*y - 6 = y. Let k be 3\/p*(-3 - -9). Suppose -3*h - 3*w + 3 = 0, 0*w + k = h + 2*w. Round h to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*c + 4*k, -2*k + 5 = 2*c + 13 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15020182 is divided by 2120.\nAnswer: 2102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 23*x**2 - 115*x - 5. Let r be z(5). Sort r, -1, 4 in decreasing order.\nAnswer: 4, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 6\/5 of a century?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -7472 - -7615. Which is smaller: s or 151?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*n - 7*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -233, -197, -171, -161, -173?\n\"Answer: -k**3 + k**2 + 40*k - 273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*h - x = -257, -63 = -2*h + 3*x - 2*x. Solve -48 = 10*w + h for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -g**3 + 18*g**2 + 7*g + 40. List the prime factors of p(16).\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2519930453 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1703125?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 27, 45, 63?\n\"Answer: 18*m + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 3931 a factor of 199763293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 5284866546?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(153)\/(sqrt(9) + 4*sqrt(36)\/sqrt(4) + sqrt(9)).\nAnswer: sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -447, -448, -449, -450, -451, -452?\n\"Answer: -r - 446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -2d3 (base 15) to base 2\nAnswer: -1010001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -43053 + -3060?\nAnswer: -46143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 3196008 divided by 1598004?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sum 21727053 and 2052.\nAnswer: 21729105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -y**2 - 7*y + 18. Let l be s(-9). Suppose l*o + 66 = 3*o. What are the prime factors of o?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 20 - -6?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/12)\/(2928\/(-192))*(-9)\/(-3)?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -11 - -7. What is the biggest value in g, 0.78, -2\/11?\nAnswer: 0.78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 22783206 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 0*w = 0. Suppose 7*a - 14 = -w*a. What is u in 6*u**4 - 23*u + 3 - 12*u**a + 21*u**3 + 27*u**2 + 2*u - 24*u**4 = 0?\nAnswer: -1, 1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-4)\/3*27\/66. What is the nearest to -2 in r, -1\/7, 0.3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -14 + 3 + 13 + -11\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/7 in 4, -3\/2233, 492?\nAnswer: -3\/2233","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -111a80c (base 13) to base 15\nAnswer: -6da84c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 346\/(2 + -1 - -13). Let f = v + -25. Put f, 0.1, -3 in decreasing order.\nAnswer: 0.1, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 121922418?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (252\/(-147))\/(1*3)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1450668 times -0.3?\nAnswer: -435200.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -3*y - 2. Let i(j) = -14*j + 10. Let r(w) = i(w) - 4*l(w). What is the least common multiple of r(6) and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - (2 - -5) - -1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 3 + 3 = 0. Suppose 0*c = x*c - 4. Suppose f = -c*f + 78. What are the prime factors of f?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 + -1 + -13 + 25 + -8\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -52764220 divided by 71303?\nAnswer: -740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3.485019m to centimeters.\nAnswer: 348.5019","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -2*q. Let w be 16\/6 + 2\/(-3). Let v(x) = w*x - 5*x + x. Calculate v(i(z)).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - -13 - 3) + -5 - 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -8531 - -8531. Put p, 6, 7, 3, 5 in descending order.\nAnswer: 7, 6, 5, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 2, u: 2, j: 1}. What is prob of sequence pj?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -221.684063 - -221.69. Round y to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 290988 and 3717.\nAnswer: 2036916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.2365*-0.544.\nAnswer: 0.128656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*t**0)**(-1\/15)\/(t**(-2\/5))**(-35) assuming t is positive.\nAnswer: t**(-211\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 - 2*v + 1)*(17 - 487 - 84)*(-5 + 28 + 30 + 12 - 5) to a*v + s and give a.\nAnswer: 66480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/4416 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12831?\nAnswer: 3, 7, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3706303?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide -7428 by 39178.\nAnswer: -3714\/19589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (71 - 76) + 0 + (-2 - 0).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 566.\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -195 + 2140. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -d**3 - 3*d**2 + 6*d - 4. Let w(i) = -4 + 5 + 4 - 4*i**2 + 9*i + 3*i**2. Let g be w(10). List the prime factors of l(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (176\/110)\/((-2)\/(-195)). Suppose 5*s - 90 = -0*b - 2*b, 4*b - t = 2*s. Calculate the remainder when 78 is divided by b.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g - 384 = -4*a + g, -5*a = 2*g - 480. Let c = a + -82. Solve 0 = -5*o + c + 6 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -5*m + 16. Let x be y(-7). Is 14704\/136 + (-6)\/x a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-6)\/3 - (0 + -4). Solve a*l = 6*l + b + 6, -l - b = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -7*j**4 - 8*j**3 + 8*j + 1. Let a be (0 - (-2)\/(-5))*15. Let f(n) = -8*n**4 - 9*n**3 + 9*n + 1. Let s(g) = a*f(g) + 7*c(g). Factor s(b).\nAnswer: -(b - 1)*(b + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (5 - 9 - (1 + -7)) + -15\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 393*u**2 + 306*u wrt u?\nAnswer: 786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*p + 16962 = 171*p - 17202. Is 30 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 931?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s and 1 q when two letters picked without replacement from {x: 1, u: 2, p: 1, s: 8, q: 3, m: 2}.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -a**3 + 32*a**2 - 10. Let s be x(32). Let j be ((-11)\/3)\/(s\/(-15) - 1). Solve -j*y = -6*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = r + 3. Let f(y) = -3*y - 7. Let n = 36 + -51. Calculate n*l(q) - 6*f(q).\nAnswer: 3*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*m - 2 = -22 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 110, -8, 9\/4 in ascending order.\nAnswer: -8, 9\/4, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3.3?  (a) 4  (b) -36  (c) 2  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = 7*l - 132. What is the lowest common multiple of 16 and l?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 46*m**2 - 28*m**2 - 7*m**3 + 32*m**2 - 2*m - 14*m**3.\nAnswer: -21*m**3 + 50*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 132\/(-11)*(-5)\/4?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 1019141 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 853?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6304\/9*b + 4186\/3*b**2 + 1112\/3*b**3 - 14\/9*b**4 - 968\/3 = 0 for b.\nAnswer: -3, -1, 2\/7, 242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rtp when three letters picked without replacement from {p: 3, j: 1, r: 1, w: 6, v: 3, t: 3}.\nAnswer: 3\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence paig when four letters picked without replacement from gegipaeieg?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -4*h + 28. Let j be v(18). Let o = 47 + j. Find the third derivative of -35*k**o - 31*k**3 - 20*k**2 + 69*k**3 wrt k.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 53 + -52. Let z be ((-4)\/5)\/(2 + 0). Which is the third smallest value?  (a) q  (b) 0.4  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nc when two letters picked without replacement from njgcg.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 1\/10  (b) 10  (c) 40  (d) -1  (e) 0.057\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/56 + (-108)\/(-189)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 31499 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (f + 0 + 0)*(2*f - f - 3*f)*((-f - 2*f + f)*(-4 + 3 - 1) + 4*f - 4*f - 2*f - f - f - 2*f - 2*f + 1 - 1).\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:45 PM and 11:58 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 0\/(10\/(-2) - -3). Suppose 2*i = 4 - b. Suppose i*n - 38 = -0*n. List the prime factors of n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1608*k - 3024 = -1656*k for k.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 1087?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 151517 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -29851, -59650, -89449?\n\"Answer: -29799*s - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2471 + -2438.83. Round o to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -10.95 - 0.05. What is the third smallest value in 0.1, b, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1815*5\nAnswer: 9075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 29223754?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 56219990.49 + 77.\nAnswer: 56220067.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.1  (b) 201\/652  (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = 3*j**2 - j + 1. Let i = -11 - -15. Let v = 5 - i. Let w(s) = s**2 - s + 1. Determine v*w(n) - h(n).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = x - 2*j - 6, 40*x = 38*x - 2*j for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/55?  (a) -1\/4  (b) -3\/14  (c) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 13314777, 13314778, 13314779?\nAnswer: 13314780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ehvhvvveve. Give prob of sequence vevv.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:59 AM and 11:43 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in one tenth of a microsecond?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s = -8*v + 7*v + 255225, 5*v + 5*s = 1276200. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 51 = b. Suppose q - 56 = -5*y, 3*q - 7 - b = -3*y. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -29\/4965 and -161\/109230?\nAnswer: 109230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -0.5, -0.36, -6, -20\/17, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 27 + 5 + -85 + 34?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (2\/(-4))\/(1\/(-4)). Suppose -3*u + 29 = -2*v, 5*v - 58 - 7 = -5*u. Suppose n*r = 31 + u. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -y + 1. Let i(j) = 2*j**2 + j + 1. Suppose -4*r - 3*c - 13 = 0, 0*r - 3*r = -c. What is r*p(w) - i(w)?\nAnswer: -2*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p*p**20)\/(p\/(p*p**(1\/6)*p)))**(-3\/8) assuming p is positive.\nAnswer: p**(-133\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/(b\/b**(-2\/15))*b*(b\/(b*(b\/b**(2\/7))\/b))\/b*b)\/(((((b\/(b*b\/(b\/(b\/(b\/b**(-5))))))\/b)\/b)\/b*b)\/(b\/(b**(2\/13)\/b))) assuming b is positive.\nAnswer: b**(-2\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.6401 rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -11091189*r**3*u + 2*r**2*u + 166*r**2 + 638*r wrt r?\nAnswer: -66547134*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -33e35 (base 15) in base 12?\nAnswer: -7b728","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lv when two letters picked without replacement from {l: 2, v: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 44384?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6 + 22 - 9) + -11?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = x**2 - 12*x - 134. What is l(-7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -s**2 - 5*s + 1. Let r(u) = 2*u**2 + 9*u - 1. Let f(a) = -5*n(a) - 3*r(a). Suppose 6*q - 10*q = -5*x + 2, -4*x + 7 = -5*q. Give f(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*2*sqrt(1960))\/((sqrt(1200) - -1*sqrt(1200))\/sqrt(6)).\nAnswer: 21*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.7, -12, -30, -1.\nAnswer: -30, -12, -1, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 84.467136 rounded to two dps?\nAnswer: 84.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 + (-27 - -11) + (2 - -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (6*(-4)\/(-45))\/((-204)\/170)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = 3*o**2 - 3*o + 3. Let p be z(2). Suppose 24 = 5*a + p. Suppose a*h + 116 = 3*y + 4*h, -3*y = -5*h - 104. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11 - (-6 + (18 - 16)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 596 minutes before 12:18 PM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is -9\/1183 less than -1.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2220 and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2.9 - -3. Let w = -30 - -50. Suppose -5*s = 2*h + w, -3*s - 1 = 2*h - 3*h. What is the closest to o in 4, h, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 2 and -3.6?\nAnswer: -7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6105*a = -5956*a + 3576 for a.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8 + 9*p - 8*p + 13*p.\nAnswer: 14*p - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Determine p, given that 33564*p**4\/7 - 110738848*p**3\/7 - 10538972*p**2 + 36973208*p\/7 - 26400\/7 = 0.\nAnswer: -1, 2\/2797, 1\/3, 3300","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o - 9 = -21. Suppose -o*t + 17 = 11. Solve 4*i + 35 = -5*v, -5*i - 31 = -0*v + t*v for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 4  (b) -270  (c) 2  (d) -0.4  (e) -0.1  (f) -92\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 1\/5 + (-19)\/95. Suppose -f + 20 = 3*f, -4*s + 5*f - 17 = c. Let v be s*(-436)\/(-56) + (-4)\/7. Solve -4*t = t + v for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = k**3 + 9*k**2 + 5. Let p(w) = 2*w**3 + 6*w**2 + 4. Determine 2*f(x) - 3*p(x).\nAnswer: -4*x**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g = 105 + 75. Suppose t + t - g = 0. What is the highest common divisor of 12 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 413904892?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(sqrt(1573) + (0 + sqrt(1573))**2 + sqrt(1573))*-5.\nAnswer: 220*sqrt(13) + 15730","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 4 + 130\/(-35) - (-3030)\/(-21). Let i = f - -144. Solve i = v + 2*v + 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 3, 10267, 0, -6, 21, -3 in decreasing order.\nAnswer: 10267, 21, 3, 0, -3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 181622951, 363245901, 544868851?\nAnswer: 726491801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -1110111001010 (base 2) in base 5?\nAnswer: -221001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -y - 2*y + 6. Suppose 4*p = 5*g - y, -3*g - 5*p + 22 = 6. Solve n = 5*c + 10, -n = -g*c - 4*n - 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 768 - 1622 - 6768*b + 854 to the form i + d*b and give d.\nAnswer: -6768","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 146 (base 14) to base 7\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.01, -0.078, -41 in increasing order.\nAnswer: -41, -0.078, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) be the second derivative of -239*z**5\/10 + z**4\/12 - 61*z**3\/6 + 631*z. Find the third derivative of n(b) wrt b.\nAnswer: -2868","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 5*p**2 - 7*p + 32. Let q be j(6). Suppose 2*r - 12*i + 13*i = 81, 238 = 6*r - 2*i. What is the greatest common divisor of q and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*g + 173*g = -1992 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 561*s - 2. Let f be k(9). Let l = f - 19047. What is l rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -9*t. Let h(g) = g. Let n(p) = 51*h(p) + 6*q(p). Let z(m) be the third derivative of -1\/24*m**4 + 0 + 4*m**2 + 0*m + 0*m**3. Determine z(n(i)).\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 127\/590832 and -38\/55?\nAnswer: 2954160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -g - 7. Let j(n) be the second derivative of -n**3\/3 + n**2 + 2*n. Let f be j(3). What is w(f)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9282173 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*s**3\/7 + 15052*s**2\/7 + 4242304*s + 730372160.\nAnswer: 2*(s + 190)*(s + 3668)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 9 + 9. Calculate the highest common divisor of s and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 137*s - 145*s + 32 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 3 + -1324?\nAnswer: -1321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is b - -25?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 62*c + 139*c - 58*c + 154*c.\nAnswer: 297*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 50 - -43?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2178 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1\/(2\/52*-1). Let r = -3 - w. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 6193 and 781.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.05365 rounded to 3 dps?\nAnswer: 0.054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -18, -350, -3 in descending order.\nAnswer: -3, -18, -350","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s - 4 + 14 = -3*v, 5*s - 50 = -5*v. Solve -4*r - 2*z - 8 = 0, 0 = -5*r - 0*z - 4*z - s for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 123435346 to the nearest integer?\nAnswer: 498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -46*c**2*j**3 - 3*c**2*j**2 - 87*c**2*j + 23*c*j**5 wrt j.\nAnswer: -276*c**2 + 1380*c*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = a**2 - 2*a - 22. Let y be m(-6). Suppose -y*d + 33*d - 609 = 0. What is the remainder when d is divided by 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1802 and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 64407769 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:03 PM and 11:44 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = 4*p**2 + 4*p - 3. Let f be m(1). Find the third derivative of -108*h**5 - 8*h**2 + 97*h**f + h**2 wrt h.\nAnswer: -660*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (10*g + 52 - 52)*(23 - 23 - 112*g**3) to i*g**2 + d*g + o*g**3 + m*g**4 + j and give m.\nAnswer: -1120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 2, q: 9, x: 2, l: 1, m: 2}. What is prob of picking 1 x and 2 q?\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -1\/2396 and 28\/9.\nAnswer: 21564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 360638531?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Total of -3965562 and -1103.\nAnswer: -3966665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11629 divided by -41732.\nAnswer: 11629\/41732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = 2*u. Let f(p) = 15968904*p**2 - 1. What is z(f(j))?\nAnswer: 31937808*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 29 and 4562309.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5 + 0 + sqrt(704) + sqrt(704) - (-2 + sqrt(704) + 0 + sqrt(704))) + sqrt(99)*-3 + -2 + sqrt(176))**2.\nAnswer: -50*sqrt(11) + 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*h**3 - 7*h**3 - h**3 + (h + 2*h - 5*h)*(0*h**2 - h**2 - h**2).\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 31 + (-17 - 2) + -4?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c - 14842 = -2*d - 1038, -3*d - 2*c + 20696 = 0. Round d to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (2 + 2)*25\/20. Suppose 0 = h*b - 8*b + 63. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 234*d - 1. Let y be q(4). Let x be ((-4)\/(-18) - y\/(-45)) + 3. Suppose -11*i + x = -3*i. Solve i*o - 3 = -0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 247977295337 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -k. Let g(n) be the first derivative of 18*n**3 + 26. Calculate j(g(f)).\nAnswer: -54*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*y**3 + 3*y**3 + 0*y**3 + (2*y**3 - y**3 - 3*y**3)*(-5 + 21 + 18)*(-5 - 5 + 0) in the form k*y**3 + p*y + m + z*y**2 and give k.\nAnswer: 687","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 218883636.\nAnswer: 2, 3, 17, 357653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*f**2 - 5*f**2 - f**2 + (2*f - 2*f**2 - 2*f)*(2 - 3 - 1) + (5*f - 4*f + 3*f)*(-f - 1 + 1).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1958960 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.5?  (a) 0.01  (b) 4  (c) 0.05  (d) -56\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0145443 rounded to 3 decimal places?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.572 + 0.037. Let l = p + -318.609. Let a = 318.00000187 + l. What is a rounded to 7 decimal places?\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -173\/776412 and -31\/399.\nAnswer: 14751828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 + 5921730819?\nAnswer: 5921730818.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.1, 3\/5, -1, 21?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*v - 4*v - 6. Suppose 71*q + 67 = -146. Put 0, q, v in descending order.\nAnswer: 0, q, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -628, -338, -48, 242, 532?\n\"Answer: 290*i - 918","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*r + m = 11, -2*m = -26*r + 25*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j = -2, -240 - 404 = -2*r + j. Calculate the remainder when r is divided by 65.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -3*l**3 - 3*l**2 - 2*l + 2. Let k be y(4). Let a = k - -579. Let i = a + -713. What is i rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1040216?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c - 32*y + 34*y + 36 = 0, 0 = -y - 2. Solve -c*u = -937 + 985 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(96)\/sqrt(3) - (sqrt(392) - (2*sqrt(392) + sqrt(392))))\/(sqrt(8)\/((sqrt(2) + sqrt(18))*-4)).\nAnswer: -256*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k + 85 = 77. Let m(l) = -2*l + 13. Is m(k) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h, 1 q, and 1 e when three letters picked without replacement from {q: 1, h: 1, t: 1, z: 1, e: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2\/13, 16, 0.56, -1238?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + 68 = m, -272 = -2*m - 2*m - 2*a. List the prime factors of m.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1307 - 8250 = 301*x - 321 for x.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 141*o = 93*o + 50400. Calculate the highest common divisor of 1200 and o.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) be the third derivative of a**6\/60 - 7*a**5\/15 - a**4\/12 + 31*a**3\/6 - a**2 + 5. What is the smallest common multiple of o(14) and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from nnnnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 21181876 is divided by 366?\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-2 - -5) + 3 + -2. Suppose -z*p - 2*n - 744 = 0, -4*n + 6 = -7*n. Let u = -294 - p. Round u to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8cd (base 14) in base 9?\nAnswer: 2353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 9, -0.357, -1.64?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 43\/541070 and -15\/54107?\nAnswer: 541070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 4890396 divided by 1630132\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) be the third derivative of v**5\/30 - 5*v**4\/8 + 3*v**3\/2 + 14*v**2. Does 38 divide c(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -61*q**3 - q. Let b be m(-1). Suppose -3*f - 5*v = -0*v - 110, 50 = f - 5*v. Let z = b - f. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10827700 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) be the first derivative of -j**3 - 59. Let m(g) be the second derivative of -g**3\/6 + g. Calculate i(m(r)).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-128)\/40)\/(-8) - 1314\/3210. Let f be (-24)\/3*1 + 5. Put -5\/3, v, f in descending order.\nAnswer: v, -5\/3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 504 and 448.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 25 divide (16 + (-440 - -4))*(-3 + (-87)\/6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) be the third derivative of 173*l**4\/24 + 517*l**3\/3 - 261*l**2 - 3*l - 3. Calculate v(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*((o\/((o\/(o**(-2\/17)*o))\/o))\/o)\/o)\/((((o*o**6)\/o)\/o)\/o)*(o\/o**(-2\/21))\/o**(-3\/4) assuming o is positive.\nAnswer: o**(-1817\/1428)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*r - 3*t + 2*t + 261, -2*r + 179 = -t. List the prime factors of r.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -106*a + 188. Let t be u(2). Let g be (-2)\/t - (-5976)\/864. Let w(d) = -d**2 + 4*d. Let p be w(2). Which is smaller: p or g?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 167638 and 12169670.\nAnswer: 2122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 28049.\nAnswer: 7, 4007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve o + 44*z = 43*z - 11, -37*o = -3*z + 247 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1198636 is divided by 305?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*x - 168 = -15*x + 21*x for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:51 PM and 7:28 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a + 72 = -5*u, -2*a - 2829*u = -2830*u - 4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 4 - 216\/(-2 + 4). Let l = 127 - o. Suppose -2*a + l = 79. Calculate the remainder when a is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30 = -j - 3*r, 15*r - 90 = -3*j + 12*r. Let h(t) = 8*t - 240. Let c be h(j). Which is bigger: c or -193?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 349 divided by -6?\nAnswer: -349\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h = x - 10, -8*x + 12*x - 46 = -5*h. Calculate the remainder when h is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 232\/176 + 3\/(-2)*25\/((-2475)\/12). Let l be 18\/8 - (-1)\/(-4). Suppose l*j - m - 1\/2*j**2 = 0. What is j?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10bb99 (base 14) to base 4.\nAnswer: 2023032323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a = 4*d + 84, 74*a + 3*d = 75*a - 90. What is the remainder when a is divided by 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -7981*m + 45. Let w(v) = -7985*v + 45. Let q(i) = -5*j(i) + 6*w(i). Let o be q(-31). What is o rounded to the nearest ten thousand?\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 57\/7 of a week?\nAnswer: 57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*j**2*u**3 + 6*j**2*u - 9*j**2 - 272*u**3 - 4*u wrt u?\nAnswer: 12*j**2*u - 1632*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 21867174 from -91.\nAnswer: -21867265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 23167836733 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 457 minutes before 6:39 PM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -q**2 - 33*q + 33*q + 37.\nAnswer: -q**2 + 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express 5*h**2 - 10*h**2 - 13*h**2 - 8*h**2 in the form r + c*h**2 + d*h and give c.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 6192545 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1629, 6495, 14603, 25953, 40545?\nAnswer: 58379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 53\/178 and -23\/890.\nAnswer: 890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 48910526 a multiple of 778?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -295*g**2 - 16230*g - 275 = 0.\nAnswer: -55, -1\/59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 19769 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) be the second derivative of -l**4\/24 + 85*l**3\/4 + 374*l. Factor z(k).\nAnswer: -k*(k - 255)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1.14 - -0.56. Let p = j - 2.36. Let i = p - -0.6682. What is i rounded to three dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -282248*z - 160808 wrt z.\nAnswer: -282248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + 2*f - 66 = -9*o, -36 = -2*o + 4*f. Let l = -286 - -271. Let g = l + o. Put 2, g, 3 in increasing order.\nAnswer: g, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((360\/16)\/5)\/(6\/(-2)). Sort 0.4, 0, -0.2, l.\nAnswer: l, -0.2, 0, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*h + 5*k - 163, -2*k - 2 = -0*k. Let z be (7 + 1)*(150 - -17). Suppose 0 = 11*b - 3*b - z. What is the remainder when b is divided by h?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.111 + -0.482. Round m to two dps.\nAnswer: -0.37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 2737035?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -150, 5, -3, 1.\nAnswer: -150, -3, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2\/5 - -4\/35. Suppose j - 19 = -5*s, 2*j = -3*s + 15 - 5. Let f be -3 + (-2)\/j*1. Which is greater: f or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -14821*l + 14748*l - 2117 for l.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-18)\/(-15)*(6 + -1). Let q be 6*-5*6\/(-15). Is 7 a factor of (28\/q)\/(2\/g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -g**2 - 9*g - 9. Let b be i(-7). Suppose -b*m = -0 - 5. Which is smaller: -1\/16 or m?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-7)\/(-35) - 54\/(-5). Suppose -2*v + 17 = u. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 252609 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (-82)\/14 - (308 - 311)?\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Let z be (-1)\/(-3)*1*-2. Let k = 17 - 16.8. What is the smallest value in z, k, 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 38909 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3004 or 2997?\nAnswer: 2997","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -31433397.000018 - -31433369. Let p = -28 - m. What is p rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 5898, 11814, 17730?\n\"Answer: 5916*o - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*y - 16 = f - 6*f, 3*y = -4*f + 22 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 905 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + 71 = 2*b, -4*b + 107 = 2*o - 47. Let a be (-1 + 0)\/((-1)\/2). Suppose -7*x + b = -a*x. Calculate the greatest common factor of x and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p = 21*p + 18. Let r(b) = 4*b**2 + b - 1. Let a(m) = -m**2 + m + 1. What is p*r(x) - a(x)?\nAnswer: -3*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-637)\/(-312) - 4\/2. Let r(v) be the second derivative of -1\/48*v**4 + 1\/4*v**2 + 0 - v - f*v**3. Factor r(k).\nAnswer: -(k - 1)*(k + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*t = 4*b - 20, -2*t + 4*b = 10 + 6 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i = 1, h = -h - 2*i + 10. Suppose 0 = -2*j + 6*j. Suppose j = -5*o + 3*o + h. Are o and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2\/7  (b) 5\/3  (c) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -22 (base 7) to base 14\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 5 - 2*q + 5 - 12. What is the tens digit of c(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.0417 * 2\nAnswer: -0.0834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1385 + 2736. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 439478 - -7?\nAnswer: 439485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2798570?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 315 divide 51112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1557 (base 10) to base 9.\nAnswer: -2120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 7 - (2 + 2 + -2). Suppose 5*m = -x + 22, -4*m - 8 = -d*m + x. Suppose m = j + 1. Sort j, 2, -2.\nAnswer: -2, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 947, 950, 961, 986, 1031, 1102, 1205, 1346?\n\"Answer: x**3 - 2*x**2 + 2*x + 946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 0 - 1bb?\nAnswer: -1bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 62 = 4*x, 2*w - 37 + 2 = -5*x. Solve 4*m + m = -w for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.209 - -0.209026. Round k to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 272323 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1540016131 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*z - 4*h = -2*h - 10, -2*h = 4*z + 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1537 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3.228 * 0.175.\nAnswer: 0.5649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (12\/(-8)*1)\/((81\/(-24))\/9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4473011.\nAnswer: 4473011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 29\/30 - 35\/((-4375)\/(-100)). What is the closest to a in 1, -1\/5, -1.3, -5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -y - 2. Let f(l) = -1. Let i(c) = 6*f(c) - p(c). Let x be i(14). Solve -j - m + 1 = x, -j = -3*m - 11 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 3  (b) 3\/73  (c) 1.8  (d) -4  (e) 9  (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3879 in -2, 0.03, -1\/2, 2\/103?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 70 and 301805?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 18865 bigger than 13336?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2)\/(-2)*(-1 + 1). Suppose n = -a + 6*a - 165. What is the remainder when a is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1 - 33046?\nAnswer: -33045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/(-2*(-4)\/16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-6)\/(-4)*(0 + 18)\/(-1). Let k = 1 - 10. What are the prime factors of (-2)\/k + (-129)\/l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2 + -5. Let o be u*4\/6 - -4. Suppose 0 = o*x - 5*h - 42, 5*h + 53 = -0*x + 3*x. What is the greatest common factor of 11 and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -19762 + 19834.835. Let b = 0.665 + j. Round b to the nearest integer.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -9*c**2 + 26 - 26 + 2*c + (3*c - c - 4*c)*(-1413955 + 1413955 + 1234*c) as y + b*c + z*c**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {h: 17, q: 1}.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 3 i when four letters picked without replacement from {u: 1, i: 6, w: 4}.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -c**3 - 8*c**2 - c - 6. Let r be n(-8). What is the first derivative of -11*z**4 - 6 + 2*z**4 - 25*z**r + 25*z**2 wrt z?\nAnswer: -36*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 5133 + -4577. Calculate the greatest common factor of h and 695.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -87.000108 - -87. What is t rounded to five dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00021647326 to six dps.\nAnswer: -0.000216","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*z = 2*y - 42 + 72, -14 = 2*y - z for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 22*w**3 - 4*w**2 - 4*w. Let a(g) = -g**2 + 3*g + 50. Let q be a(-6). Let h(b) = -45*b**3 + 7*b**2 + 7*b. What is q*h(r) - 7*j(r)?\nAnswer: 26*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 13*((-1004792)\/1508)\/(-122)\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 0\/2*(-1 - 0). Let p be (8\/12)\/((-4)\/6). Let b be p\/(-30)*3*-4. What is the closest to b in 1, l, 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 1430346.3 hours?\nAnswer: 59597.7625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2363135 is divided by 9124?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -729 - -728. Let u = 2 - 1.9. Which is the closest to h?  (a) u  (b) -5  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = 27*p - 19. Let o be d(11). Suppose -2*l + o = 5*v, -2*l + l + 2*v = -157. Suppose -5*f + l = -251. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*h + 55*r = 50*r + 9, 0 = 4*r - 4 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*d + d + 0*d)*(2*d**4 - d**4 - 2 + 4).\nAnswer: -2*d**5 - 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*l**2 - 4296*l + 12861 = 0 for l.\nAnswer: 3, 1429","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/(u\/(u**0\/u)))**(-2\/3)*(((u\/u**(-1))\/u)\/u*u)**16*((u**(-2\/7))**(1\/30))**(-7) assuming u is positive.\nAnswer: u**(251\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 74 + -2 + (0 - 2). Let v = -39 + h. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12357288 divided by -1?\nAnswer: -12357288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -417*q + 423*q + 12 = 0. Let x(u) = 8*u + 8. Determine x(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g + 3*q = 0, 3*g - q - 16 = 4*q. Suppose 5*s = g*p + 52 + 77, 2*s = 4*p + 58. Calculate the remainder when 74 is divided by s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -977039688 - -0.3.\nAnswer: -977039687.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -18 + 16 - (2\/(-1) - 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 + 33\/(-3) + 7070 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 52631518 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 62498, 62500, 62502, 62504, 62506, 62508?\nAnswer: 62510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from yyyfyyfffyfy.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22 + 40 = 9*m. Factor 4\/9*u**3 + 0*u - 2\/3*u**4 + 0 + 0*u**m + 2\/9*u**5.\nAnswer: 2*u**3*(u - 2)*(u - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:07 PM and 11:06 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 139578 to the power of 1\/2, to the nearest integer?\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 40 - (-3 - (-11 - 0 - (50 - 61)))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -j**2 + 4*j + 2. Give p(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4221 and 2010.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5279*h + 1 + 2824*h + 3445*h - 4*h + 5*h + h + (1 + 0 + 1)*(0*h - 4*h + 2*h) - 4*h + 3*h - h.\nAnswer: 986*h + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express -180*i - 857*i - 488*i + 262*i - 87*i as z + m*i and give m.\nAnswer: -1350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 43\/438 and 37\/606.\nAnswer: 44238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = 19 - 27510*x**2 - 99 + 10*x + 27471*x**2. Let s(w) = -w**2 + 2*w. Let y(b) = 2*k(b) - 10*s(b). What is the derivative of y(n) wrt n?\nAnswer: -136*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -3*w**2 + 3*w - 2. Let k(i) = -4*i**2 + 4*i - 2. Suppose -z - o - 9 = 0, 7*z - 2*z + 4*o + 41 = 0. What is z*k(v) + 6*r(v)?\nAnswer: 2*v**2 - 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - 2*l + 18 = 6*c, -2*c = -2*l + 4. Suppose -3*s + c*x = -43, -s + 5*s - 5*x = 55. Suppose 0 = t - 1, -s = -4*y + t + 204. Is 10 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.22 - -0.12. Let j be (-9)\/(-30)*5\/6. Which is the closest to j?  (a) -2\/7  (b) l  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:39 AM and 3:37 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (64\/40 - (-7 + 12 + -4))*65\/(-689).\nAnswer: -3\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 116\/9*u + 118\/9*u**2 + 0 + 2\/9*u**3.\nAnswer: 2*u*(u + 1)*(u + 58)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30023 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1552*s**2 + 1283*s wrt s.\nAnswer: 3104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Are 42245 and 42245 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -144  (b) -2  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*b**2 - 1555*b - 10640.\nAnswer: -5*(b + 7)*(b + 304)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -4 + (2 - ((-39)\/15 - 0)). Sort 1\/8, 1, 2\/9, h in ascending order.\nAnswer: 1\/8, 2\/9, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1302935.4ms in minutes?\nAnswer: 21.71559","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -221 - -1551\/7. Let y be 21\/18 - 12\/8. Put 1\/3, y, u in descending order.\nAnswer: u, 1\/3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -681?  (a) -2  (b) 0.01  (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -v**3 + 6*v**2 - 7*v. Give w(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -5*a**2 + 38*a - 2. Let m(t) = -t**2 - t. Give k(o) - 3*m(o).\nAnswer: -2*o**2 + 41*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 1 c when two letters picked without replacement from {x: 8, c: 4, a: 4}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 56432 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 207420 and 99.\nAnswer: 6844860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-one halves of a tonne in kilograms?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.773872ms in microseconds?\nAnswer: 1773.872","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 7*c + 30. Let q be p(-4). Suppose 3*n = 2*a - 39, -3*a = 5*n - q*n - 21. Suppose 0 = -a*v + 10*v + 96. Is v a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(110) + -6*(sqrt(110)*2 - sqrt(110) - sqrt(110)) - sqrt(110))\/(-5*-1*sqrt(10) + sqrt(10)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z\/(z\/((z\/(z\/z**3*z))\/z)))\/((((z\/(z*z**(-2\/31)*z))\/z)\/z)\/z))**(-1\/3))**43 assuming z is positive.\nAnswer: z**(-2193\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 2*m**2. Let n(o) be the third derivative of o**6\/80 - o**5\/120 + 5*o**4\/24 - 30*o**2. Let t(w) be the second derivative of n(w). Calculate j(t(p)).\nAnswer: 162*p**2 - 36*p + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 greater than -2\/4723415?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 1493486807 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 5478496 a multiple of 170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 61609 less than 4?\nAnswer: -61605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*((sqrt(486)*1 - sqrt(486))\/(sqrt(8)\/sqrt(100)) - (-5 + -1 + sqrt(147) + sqrt(147) - 1*(sqrt(147) + (sqrt(147) - sqrt(147)*1)))))**2.\nAnswer: -336*sqrt(3) + 732","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 909, 2473, 4723, 7659, 11281, 15589?\n\"Answer: 343*v**2 + 535*v + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.8394 - 0.0606. Is q equal to -3\/92?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 207 minutes after 12:00 PM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 173 a factor of 22317?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 372 - 188. Let o = 206 - g. Suppose 42 = -5*a + 207. What is the highest common divisor of o and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 38  (b) -0.45  (c) -0.4  (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 43*p + 1082 = 493 - 529 for p.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (-92 - -103) + 5 + -2 + -21\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 570 minutes after 2:57 AM?\nAnswer: 12:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 126, -19307, 2 in increasing order.\nAnswer: -19307, -3, 2, 126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -3475314 + 6?\nAnswer: -3475306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*i**3 + 53*i + 2*i**3 - 53*i.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2\/11, 0.1, 3, 28, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 855 - 1765\/2. Calculate the common denominator of g and -10\/11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 a factor of 116300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -40283*u + 61. Is v(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:42 PM and 4:25 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -2*o**2 - 2*o - 2. Let b(d) = 3*d**2 + 3*d + 3. Let m(a) = -3*b(a) - 5*n(a). Let x(r) = r + 3. Calculate -3*m(c) + x(c).\nAnswer: -3*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 24681541?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 7860 and 7435?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is b717b - 0?\nAnswer: b717b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -14 + 22. Suppose -403 = -k*q + 173. Let y(i) = i**2 + i - 11. Let c be y(4). Calculate the highest common factor of q and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is l in 2*l**2 - 90258596*l + 1018326768986402 = 0?\nAnswer: 22564649","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -v - 4. Suppose 13*i + 69 = 17. Determine f(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -4 - -63?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -5*n**2 + 4*n. Let b(w) = -w + 361*w**2 - 362*w**2 + w**3 + 2*w. Let i(a) = 8*a + 89. Let j be i(-11). Determine j*x(y) - 2*b(y).\nAnswer: -2*y**3 - 3*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4754, 9496, 14238, 18980, 23722, 28464?\nAnswer: 33206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1.1 + -0.9. Let j = 246 - 245.71. Let w = j - -0.71. Which is the nearest to 1?  (a) w  (b) 0.1  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 12 + -1021?\nAnswer: -1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) be the first derivative of 2*j**5\/35 + j**4 + 46*j**3\/7 + 144*j**2\/7 + 216*j\/7 + 5017. Factor b(k).\nAnswer: 2*(k + 2)*(k + 3)**2*(k + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -28, 0.4, -5, 454\/15, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -13, -39, -77, -127, -189, -263, -349?\n\"Answer: -6*z**2 - 8*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -509 - 124. Let w = d + 1305. What is the hundreds digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18397 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: Calculate (28\/(-14))\/((-16)\/(-20))*-4.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -263 + 257. Let y = x - -3. Sort y, 25, -1 in decreasing order.\nAnswer: 25, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 90 + -27. Let j = 67 - s. What is the biggest value in 5, 5\/3, j?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -1407*c**3 + 9*c**2 - 2*c - 7. Let s(h) = 1400*h**3 - 7*h**2 + 2*h + 6. Determine 4*f(q) + 5*s(q).\nAnswer: 1372*q**3 + q**2 + 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 35145 to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 38 - 10 = -2*y, -5*w = -3*y - 62. What is the least common multiple of 3 and w?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-4)\/70)\/((-5)\/(-25)). Which is bigger: 0 or p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -780467 and 3846.257?\nAnswer: 784313.257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.572 + -0.272. Put g, 1\/5, 11, 2\/3 in decreasing order.\nAnswer: 11, 2\/3, g, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*v + 2*v - 4*v)*(485455 + 2809*v**2 - 485455).\nAnswer: 5618*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3 - -1. Solve -2*f**3 + 2*f**t + 2*f**2 - 2*f**2 = 0 for f.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2394 and 1638?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.43 + -0.07. Let v = 0.2 + b. Suppose 7 - 2 = -a. What is the biggest value in -2, v, a?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 31003 (base 6) to base 14.\nAnswer: 16d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -5 + 4*l**2 - 28099*l - 7*l**4 + 28097*l - l**2 - 1 in the form w + c*l + v*l**2 + y*l**4 + z*l**3 and give y.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r + 2 = 4*i + 8, -2*i = -4*r. Let a = 8369 - 8362. What is the remainder when (22\/4)\/(r\/(-4)) is divided by a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*m + 7 = 5*i, m + i - 3*i + 2 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -26 + 19 + 5 + -2 + -1 - 15.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (0 - 2)\/1*-5. Suppose 5*z = -285 + 50. Let y = z + 49. Solve y + m = 3*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 406 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -17063 + 17065. Determine r, given that -38\/11*r - 4\/11 - 70\/11*r**h = 0.\nAnswer: -2\/5, -1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = m**2 - 137*m. Let k(o) = -o**2. What is k(v(a))?\nAnswer: -a**4 + 274*a**3 - 18769*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 16) to base 6\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 49476308 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 49\/269 and -46\/7.\nAnswer: 1883","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -2*r**2 + 21*r - 36. Calculate u(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -289482.679 to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 147, -35, -339, -765, -1313, -1983, -2775?\nAnswer: -3689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 39140.7 + -39141. What is the smallest value in 940, i, 0.2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 14156374 and 24638?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -r**2 - 259*r + 787. Let z be m(3). Solve 2 = 2*f, -c - 3*f - z + 4 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 10 + -9.94. Let c = y + 0.54. Let h = c + -0.9. What is the closest to h in -3\/2, 1, -4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (54 - 42) + 0 + -8 - -12.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) be the second derivative of 2*x**3\/3 - 61*x**2\/2 + 193*x. What is k(16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 182 + 131*o**2 + 194 - 376 as u*o + x*o**2 + i and give x.\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-8)\/12)\/((-2)\/18). Calculate the highest common factor of z and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 134580568\/23 less than 5851329?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -1\/75?\nAnswer: -1\/75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2805)\/150*(-102)\/187*5.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -y**3 + y**2 + y - 5. Let v be i(0). Let j be 1*(-2)\/5*v. Differentiate -j + x - x**2 - x wrt x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 57.143211 from -581468.\nAnswer: -581525.143211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 20221 - 1211111210?\nAnswer: -1211020212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 3a + 199496?\nAnswer: 199503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.13 and 151.32977.\nAnswer: 19.6728701","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(-6*(4 + sqrt(700)*-5 + sqrt(700)*5 + 1 + 3))**2.\nAnswer: -4608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*f**2 - 102064*f - 102060.\nAnswer: -4*(f + 1)*(f + 25515)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 619427, 619419, 619407, 619391?\n\"Answer: -2*n**2 - 2*n + 619431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 152*o**4 + 10 wrt o.\nAnswer: 608*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 16 and 52425648?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*u - 17 = -0*a - 6*a, -60*a - 4 = -61*a + 2*u for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -126 + 130 - (-7 - (3 + -2 + 1))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(40) - -6*(sqrt(40) - sqrt(40)*1))\/(sqrt(8) - (sqrt(8) - sqrt(128)*1)).\nAnswer: sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 4, -597, 9668 in decreasing order.\nAnswer: 9668, 4, -3, -597","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.6, -0.06, -2, -2\/11 in decreasing order.\nAnswer: 0.6, -0.06, -2\/11, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 109*d + 2. Give y(1).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 12*z - 217 - 323. Let g = -1505 + 1595. Calculate the greatest common divisor of g and z.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*x = 4*x + 56. Suppose -2*l - x = -7*l + 3*u, -2*l = -2*u - 12. Let a be (-2)\/l - 63\/5. Is a less than -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -65 - -92. Suppose -3*m = -3*r + o, -4 = -3*r + 8. What is the units digit of (-50)\/m*2\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 + (-7)\/(-3))*(639 - 645).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*r - 5*r = 66. Let s = r + -7. Suppose s + 0 = 4*w. Solve -w = -q + 1 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(24)\/sqrt(200) - sqrt(12)\/(sqrt(4)*1))**2*3.\nAnswer: 144\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.2 + 2. Let n = -7.2 + i. Suppose -7*w - 125 = 8. Which is the closest to 1?  (a) n  (b) 0.1  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f + 4*n - 45 = 0, -5*n = -3*f - 2*f. Suppose 4*g = 2*t + 14 + 50, 0 = -f*g - 2*t + 71. Suppose -9*q = -g*q + 42. List the prime factors of q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h + 12 = -0*h, -3*n + 4*h + 22 = 0. Factor 4 + 0 + r**n - 2 - 7*r + 4*r**2.\nAnswer: (r - 1)*(5*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 125608*h**6*r - 2*h**4*r**3 - 10*h**2*r**3 + 180*h**2*r - 1919*h*r**3 + r**2 wrt h?\nAnswer: 15072960*h**3*r - 48*h*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 58 and 18?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 23*y + 36. What is v(-5)?\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 5459 - 8?\nAnswer: 5451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 36 and 828.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-3)\/(-9) + 8\/3. Suppose 0 = y*b, a - 1 = b + 34. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 948125540?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 35068639 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 249444 times 2?\nAnswer: 498888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1913680 is divided by 409.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -l**3 - 13*l**2 - 14*l - 17. Determine u(-12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (38*-78)\/6 - 6. Let y = 507 + q. Suppose -2*g - 3 = -5. Calculate the least common multiple of y and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = m**3 - 6*m**2 - 1. Let j be s(6). Let l be 4\/3*j\/(-4). Factor -l*h + 2\/3 - 1\/3*h**2.\nAnswer: -(h - 1)*(h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(110) - (sqrt(110) - (sqrt(110) + 2*sqrt(110) + sqrt(110) + sqrt(110))) - sqrt(110))*-1)\/(sqrt(90)\/(sqrt(9) - (sqrt(9) + sqrt(36)))).\nAnswer: 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 8) in base 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 400 and 10240?\nAnswer: 51200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000015461199 to 7 decimal places.\nAnswer: -0.0000155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 167 + -133 + -30 - 111.\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 6626, 6670, 6714, 6758, 6802, 6846?\n\"Answer: 44*w + 6582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 361*s**3 - s**2 - s. Determine u(1).\nAnswer: 359","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*s + 4 - 4)*(-8*s - 10 + s + 8*s)*(7*s - 1040 - 1023 + 2103).\nAnswer: -14*s**3 + 60*s**2 + 800*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 955880 to the power of 1\/3, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 2, q: 5, w: 12}. What is prob of picking 2 w?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, -2\/7, -0.17, -0.5.\nAnswer: -0.5, -0.4, -2\/7, -0.17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -i**4 - 18049198*i**3*j**2 + 2233*j**2 - 10996*j wrt i.\nAnswer: -4*i**3 - 54147594*i**2*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*l - 15 = -4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -37.15 - -99.26. Let z = -62 + f. What is the smallest value in z, -0.3, 3, 0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 33 (base 6) to base 15.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (16 - (6 - (-12 + (-1 - 6)))) + -46.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 39*h - 5*h + 136 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -r + 1. Let i = -2 + 3. Suppose -3*d = -4*d - i. Calculate the remainder when q(d) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4 - 3.5. Let s be ((-3)\/387)\/(11\/(-236)). Let h = s + 2\/129. What is the smallest value in k, 0.1, h?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-2112)\/(-120))\/(2\/5). Let q be (1 + -3)\/(12\/246). Let m = q + a. Solve -3*n - m*j - 9 = -0*n, -3*j + 16 = -2*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -50*o. Let p be 367\/3 + 3 + 110\/(-33). Suppose -3*j - 89 = -p. Let i(y) = -10*y. Determine j*i(f) - 2*m(f).\nAnswer: -10*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -a**3 - 31*a**2 - 11*a - 39. Is n(-34) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2580 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2989 + 2994 - (0 + -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 47*p - 46*p - 43. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2546.8207 - 143.9597. Let s = -2404 + w. Round s to 1 decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 7*p - 24. Let j(x) = -7*x + 24. Let s(i) = -4*j(i) - 3*o(i). What is the first derivative of s(f) wrt f?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -599\/3 - -200. Factor -q*k + 0 + 1\/3*k**2.\nAnswer: k*(k - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/s**(-3)*s)**17)**(-2\/115)\/(s**(-6)*s\/(s*s**(-3)\/s))**(1\/16) assuming s is positive.\nAnswer: s**(-249\/184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 4 and 130.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.12*-0.011038.\nAnswer: 0.00132456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 480 minutes before 1:36 AM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(6)\/sqrt(2) - sqrt(3) - sqrt(9)\/sqrt(12))**2.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -592 = -4*f + 4*s, 0 = 47*f - 42*f + s - 746. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 203, 253, 151, -109, -533, -1127?\nAnswer: -1897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tgtxhttdxxxxxxg. What is prob of picking 1 x and 1 g?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 29290 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 2927 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -4839276.7 rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (j + 1 - 1)*(-4*j**2 - 5*j**2 + 5*j**2 + (-j + 0*j + 0*j)*(-2 - j + 2) + 7*j**2 - 2*j**2 - 3*j**2).\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1123219, -8985773, -30326991, -71886205, -140402747?\nAnswer: -242615949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0*r + 0*r + 2*r**2)*(4*r - 5*r + 3*r) - r**3 - 3 + 3)*(-20*r + 47*r + 49*r).\nAnswer: 228*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (1 - (-39)\/(-12)) + (-14)\/(-56). Let q(n) = -3*n + 5. Let b be q(p). Let d = 29 + -17. Is b smaller than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -21327*i**3 - 9992*i**2?\nAnswer: -127962","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -t**2 + 8*t - 4. Let i = -27 - -33. Suppose -4*x + i = -3*x. Let d be a(x). Calculate the highest common divisor of 56 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 115 a factor of 1628034760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c = -0*c + 23. Let b = c + 2. What is the remainder when b is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -133 = -4*z - 65. What is the greatest common divisor of 289 and z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -445*b + 8 - 16*b**2 - 4141*b - 7.\nAnswer: -16*b**2 - 4586*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -13833 divided by -1537?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find p such that -p**3 - 4709*p**2 - 648655*p - 643947 = 0.\nAnswer: -4567, -141, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -242641543, -242641541, -242641539?\nAnswer: -242641537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sum -920 and 0.4.\nAnswer: -919.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 333413045*m**5 + 286376687*m.\nAnswer: 6668260900*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = i - 5*r - 7 - 11, 5*i - 34 = -3*r. What is the lowest common multiple of 20 and i?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -1563*k**2 - 964*k + 559*k + 406*k - 2 in the form p*k + s*k**2 + l and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 9307 and 451.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -2, 11, -5300, -48 in decreasing order.\nAnswer: 11, -2, -4, -48, -5300","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let -12*q**5 + 141*q**4 - 540*q**3 + 624*q**2 + 192*q = 0. Calculate q.\nAnswer: -1\/4, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) be the second derivative of -5*u**3\/3 + 89*u**2\/2 + 78*u. Calculate the remainder when t(4) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9906917 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -168 = 5*s + 82. Let l be ((-72)\/15)\/((-15)\/s). Let i = l + 30. Is 7 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 5\/(-70)*-32*(-54)\/(-828) and 47\/23.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(1\/16))**(-31) assuming s is positive.\nAnswer: s**(-31\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -62*j**2 + 4944*j + 31896.\nAnswer: -2*(j + 6)*(31*j - 2658)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor s**3 - 10047*s**2 - 2311426*s + 2321472.\nAnswer: (s - 10272)*(s - 1)*(s + 226)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*m + 5*m - 8*m = 22. Sort 4, 1\/29, m.\nAnswer: m, 1\/29, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -1.436 and -63.\nAnswer: -64.436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = q - 9. Let j(g) = 42*g. Does 28 divide j(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -98829 divided by -3.\nAnswer: 32943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*y + 3*g + 39, -3*y + 3 - 40 = 2*g for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -4*h + 20. What is the tens digit of c(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -1315546, -1315825, -1316104?\n\"Answer: -279*s - 1315267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8\/(-3))\/4 + (-456)\/342.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -98433051*f - 721985531?\nAnswer: -98433051","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o + k - 7 = 2*o, k + 14 = 4*o. Let b = -913\/5 + 182. What is the fourth biggest value in -2\/5, b, 1\/2, o?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + 0 + 7 + -4 + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 23639, 47276, 70913, 94550, 118187, 141824?\nAnswer: 165461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from tkgey. Give prob of picking 2 g and 2 t.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 4, m: 1, x: 5, c: 1}. Give prob of sequence xpm.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-2)\/(-2))\/(1\/217). Let w be g\/21 - 4\/(-6). Suppose 5*z = w - 6. Is z at most -1\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 3*f = -8*f - 10, 17 = 3*t - 2*f. Suppose -3*h - 4*z + 2809 = 0, 2*h + t*z - 1882 = 7*z. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 89231 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -131 - -22201330123?\nAnswer: 22201323332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 44652832?\nAnswer: 2, 7, 199343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 434.3719 litres?\nAnswer: 434371.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 10 + -10. Differentiate -3*x**3 + x**3 + u*x**3 - 4 wrt x.\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is d in -d**2\/5 + 10773*d\/5 + 97038\/5 = 0?\nAnswer: -9, 10782","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -5569454 or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -6*m. Let v(s) = s + 5. Let c be v(9). Let u be (4\/c)\/(11\/77). Let i(h) = 4*h - u*h + 4*h - 4*h. Give a(i(z)).\nAnswer: -12*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 6*x**3 - 2*x**2 - 4*x. Let g = 496 - 492. Let f be -2 - (-2)\/4*2. Let l(a) = 4*a + 0*a + a**3 - 5*a. What is f*b(s) + g*l(s)?\nAnswer: -2*s**3 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: What is -47.000105 rounded to one decimal place?\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = 7*w - 91. Suppose -4*t + 19 = o - 16, 44 = 4*t + 4*o. Calculate the smallest common multiple of t and i(14).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i = o + 2, -3*o + 12*i = 8*i - 38. Let p be (-2 + 1 - 3)\/((-3)\/o). Which is bigger: p or 23?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 104*i - 311 - 1724 = 1085. What is the remainder when 577 is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*x + 2*x + 9*x)*(x**2 - x**2 + 3*x**2 - 2)*(13*x**2 + 3*x**2 - 3*x**2).\nAnswer: 195*x**5 - 130*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/6*(-2 + 40\/14)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 9, i: 7}. Give prob of sequence nnn.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9492 is divided by 125?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*j = 8 - 60. Let s(a) = -2*a**2 - 28*a + 5. Let i(n) = -2*n**2 - 28*n + 4. Let x(l) = j*s(l) - 5*i(l). Factor x(h).\nAnswer: 2*h*(h + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (34800\/(-4158))\/10 + 11\/((-1155)\/(-90)).\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Determine f so that 2*f**5\/5 - 6474*f**4\/5 + 655834*f**3\/5 - 13091494*f**2\/5 + 84266292*f\/5 - 24261952 = 0.\nAnswer: 2, 11, 80, 3133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-1\/5)*r)**(-3\/10)*(r**(-1)*r)**11 assuming r is positive.\nAnswer: r**(-6\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -1100*p - 4367. Determine t(-4).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.9 - 19.9. Let m = -9 + 6. Put -1, b, m in ascending order.\nAnswer: b, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 96951 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -328820 >= -3\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -2*c**2 - 2*c**2 - 39 - c**2 - 17 + 0*c**2 + 88*c. What is g(17)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 34062366 divided by -3.\nAnswer: -11354122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*h - 365 = -2*j + 4*h, -3*j = 3*h - 552. Let a = -130 + j. Suppose -4 + 48 = 4*v. Calculate the highest common divisor of a and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from tnvztvttvnttn. What is prob of picking 3 n and 1 z?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 42.9 - 7.9. Let x = l - 34.8. Sort 0.4, 0, x.\nAnswer: 0, x, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*sqrt(5) + 4 - 1*1*sqrt(5).\nAnswer: sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2040 and 3740.\nAnswer: 22440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -9*((-8)\/6 + 1). Suppose -i*o + 18 = 3. Solve -2*m = 3*n + o, 0 = n - 5*m + 32 - 2 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 841 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -21773, -21772, -21771?\nAnswer: -21770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -y. Let l(n) be the third derivative of 0*n + 0 + n**2 + 1\/8*n**4 + 0*n**3. Let x(z) = z. Let q(u) = -6*l(u) + 17*x(u). What is o(q(r))?\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -q**3 + 19*q**2 + 4*q - 17. Determine p(19).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ij when two letters picked without replacement from pcciicifcjf.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/(k\/k**(-14)))\/k)**39 assuming k is positive.\nAnswer: k**(-585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -90, -88, -76, -48, 2, 80, 192, 344?\nAnswer: 542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = a**3 + a**2 - a + 36. Is i(0) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/2 of a milligram in micrograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -3 + 0 + (2103 - (-4 + 5)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 - 32*n**3 + 168058*n**4 - 168057*n**4 - 7*n**3 - 2*n + 2*n**2 as h*n**2 + d*n**4 + x*n + a*n**3 + j and give a.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -198 - 3a?\nAnswer: -205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30 = -0*y - 2*y. Suppose 4*p = 7*p - y. Find the third derivative of 7*v**2 - v**5 - p*v**5 + 7*v**5 wrt v.\nAnswer: 60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 159 minutes after 3:32 PM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -29164943*c**3 + 792*c - 4431 wrt c.\nAnswer: -174989658*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -133*p - 872 + 207 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (-130)\/273*(-5811)\/1490\nAnswer: 13\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 3.16 smaller than 5405?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand 17*v**4 + 7*v**4 - 37*v**4 + (-5 + 5 + v**3)*(-2 + 3 - 5*v + 4*v).\nAnswer: -14*v**4 + v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -z**4\/4 + 2225*z**3 - 4905825*z**2 - 199809000*z.\nAnswer: -z*(z - 4470)**2*(z + 40)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*n**2\/9 - 5274*n - 27649660.\nAnswer: -2*(n + 7818)*(n + 15915)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 62585586545\/295290435264 + 20\/22076139. Let r = a + -1\/704. Let f = 27 + -27.2. Which is greater: f or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6*(-34 + 33 - 10\/(-6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -756*g + 78480 = -718*g - 2218*g for g.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 170.96088 months to years.\nAnswer: 14.24674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -95*h + 600 = -540. Suppose 6334 - 1450 = 11*g. Calculate the greatest common divisor of g and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -40 and 189333.\nAnswer: -7573320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-3*(-5)\/30)\/((-2)\/(-36)). Let g = 7 - 11. Suppose 4*z - 2*b + 26 = 0, 3*z + 4*b - 22 = 5*z. Sort v, z, g in descending order.\nAnswer: v, g, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 - (-1 + 0 + 2 + 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 130 is divided by 47.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -265702664\/11 or -24154789?\nAnswer: -24154789","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.5?  (a) 5  (b) 445  (c) 1\/26  (d) 18  (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*i - 2*t + 160, 3*t = i + 16 - 96. Let h = 170 + -86. Let x = h - 74. What is the highest common factor of x and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*f**(1\/44)*f**15\/f)\/((f*f**21)\/f**(-11)) assuming f is positive.\nAnswer: f**(-791\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 112\/(-6)*27\/(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 14\/(-35)*15\/(-33)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 5773 and 753?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4 - (-2 - -7)) + (1 - 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -1\/4, 0.6, -247\/2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6, -23, -68, -153, -290, -491, -768?\nAnswer: -1133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2357049103 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 3*u**2. Suppose -3*t = -4 + 1. Let o be 3 + t + -3 + 2. Let s(w) = -o*w**2 + 4*w**2 - 3*w**2 + 0*w**2. Give s(x(z)).\nAnswer: -18*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -1*(1 - (-14)\/(-18)). Let h = -7.272 - -129.232. Let g = h + -122. Put g, -4, z in decreasing order.\nAnswer: g, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -101342322 (base 5) to base 6.\nAnswer: -12545154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) be the third derivative of -i**5\/60 + i**4\/24 + i**3\/6 + i**2. Let o(b) = 7*b**2 - b - 5. Let v = 24318 + -24315. What is v*n(m) + o(m)?\nAnswer: 4*m**2 + 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -10  (b) -18.46  (c) -19  (d) -135\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -6, -3, 5, -454 in descending order.\nAnswer: 5, 0, -3, -6, -454","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3 - -8) + 1 - (10 - 14)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 100101101000000011011 (base 2) in base 14?\nAnswer: 24145d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*i = -16*i - 196. Calculate the remainder when i is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -8*s + 24. Let f be n(9). Let v be (-9 + 2)\/((-8)\/f). Let i = v - -58. 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 v(b) = -b**2 - b - 1. Suppose 2*y = -5*p, -y = -0*p - 2*p. Suppose y = -3*j + 2*j - 1. Let o(k) = -3*k**2. Determine j*o(n) + 2*v(n).\nAnswer: n**2 - 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 767.5919 kilograms in tonnes?\nAnswer: 0.7675919","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qzqqqqqffzqqq. What is prob of sequence zz?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -13985 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*t + i + 12, -i - i = -6. Suppose -415 = -t*c - 100. Suppose -3*z + 57 = z - 5*m, -3*z - 3*m = -c. Does 8 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 + 0 = -9*v. Let k be ((-2)\/(-38))\/(v\/4). Let d = -12.93 - -13. Which is the second biggest value?  (a) k  (b) 1  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -22.24 - -1.44. Let y = u - -23. Let s = 0.8 + y. What is the closest to -0.2 in s, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = 3*c**2 - 7*c + 6. Let t be k(6). Let n = t + -214\/3. Solve 0 - 2\/3*d**2 + 2\/3*d + n*d**4 - 2\/3*d**3 = 0 for d.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 2*g = 13, -34*v = -31*v + 4*g - 49. What are the prime factors of v?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -91*i + 115 = -68*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 274 a factor of 3247448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 21 and 392.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1337)\/14*(-44 + 2\/(-1)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j + 3*v - 21042 = 0, -284*j + 5*v = -280*j - 84117. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 <= 1\/6887?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -64*c - 39*c = 206. Sort c, 2, 70 in increasing order.\nAnswer: c, 2, 70","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 607443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 2764*h - 2519. Is k(25) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 99051180031 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (233472\/(-9216))\/(26\/(-6) + 4)?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1*-4*2\/(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 5, i: 4, k: 1, o: 1, c: 3}. What is prob of picking 1 k, 1 c, and 1 i?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1240335?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 15.09 rounded to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -92*m - 22. Let z be i(-11). Let j be (6\/5)\/(3\/z). Let c = j + -3163\/8. What is the common denominator of c and 38\/3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 101123 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-1 - 4 + 3)*(3*n - 2*n + n) + 5*n - 2*n + 0*n + 0 + 2*n + 0)*(-n**2 - 12*n**2 - 5*n**2).\nAnswer: -18*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 0\/2*(-4)\/(-12). Let s be u\/(-4 - 0\/(-2)). Suppose 0*q**3 + q**5 + 1\/2*q**2 - 3\/2*q**4 + 0*q + s = 0. Calculate q.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -y**2 + 23*y - 92. Let b be t(17). Calculate the remainder when 136 is divided by 33 + (4\/b)\/((-2)\/(-10)).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 2*w - 20. Let k be l(13). Suppose -4*d - 6 = -k*d. Solve 5*f = -5*o + 5, 2*o - 9 = d*f + 2*f for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 1 - 1)*(4 - 3 + 0)*(-9 + 7 - 7)*(233 - 233 + 143*a**4).\nAnswer: -2574*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 37966338 is divided by 1635?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (5 - 1)*(-3)\/(-6). Suppose -z = 4 + u. Is 19 a factor of (-139)\/z - 1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 5*p = 23, -v + 3*p + 0*p + 11 = 0. Let s be 3\/(-3) - (-62)\/v. Calculate the greatest common divisor of 45 and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-26*v - 27*v + 0*v)*(2*v - v - 3*v) + 2*v**2 + 1 - 1 + (0 + 0 + 3*v)*(2 - 2 + 3*v).\nAnswer: 117*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -55\/1549629 or -2\/7?\nAnswer: -55\/1549629","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (17*l + 26*l**3 - 17*l)*(8 - 58 - 13 + 4).\nAnswer: -1534*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 13491 and 19827.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -43 + 22. Let u = 49 + o. What is the remainder when u is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h - 23 + 8 = 0. Let x(n) = n - 1. Let i(b) = 2*b - 7. Let a(w) = -i(w) + 4*x(w). Calculate a(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 16 - 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = -0*v + 5*d + 4, -5*d = v + 13. Let z = v + 9. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-224)\/(8\/(-1))*4\/(56\/7)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*i - 20 = -2*i - 5*p, 3*i + 5*p = 25 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.46, -19\/4, 12, -2\/1933 in decreasing order.\nAnswer: 12, 0.46, -2\/1933, -19\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6339\/(-2113)*1*24\/(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-27250)\/7630)\/(2\/14).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + 8375 = 2*v, -5*i = -4*v - 4*i + 16749. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.2 + -0.3. Let l = p + -2.1. Let x = 0.8 - l. Which is the smallest value?  (a) x  (b) 5  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 + 23*m**3 - 11*m - 6*m**2 - 22*m + 10*m - 24*m**3 to a*m**3 + s*m**2 + j + x*m and give x.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -z - 5*o - 2, -2*z - o - 2*o - 18 = 0. Let j = z + 14. Let n be 126\/(-60) + 4\/j. What is the biggest value in n, -2\/13, -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 538*w + 4514. Let i be u(-8). Calculate the highest common factor of i and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 110 and 2450.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*w + 1 - 1)*(-1 - 2 + 2)*(1 - 1 - 2*w).\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1175 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 133 divide 31395847?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6*n + 4*n - 11*n + (2 - 2 + 1)*(-116*n - 169*n + 171*n + (-n + 3 - 3)*(2 - 2 + 1) + n + 0*n - 2*n).\nAnswer: -117*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 300 divide 1640166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-9 + (-2)\/(-1))*(3 - 1). Let z be 2 + 2000\/p + (-3)\/21. Let b = z - -323. Is 16 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -43\/44 and 113\/78530?\nAnswer: 1727660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o - 2*o = 0. Suppose 5*a - 7*a + 42 = o. Let q = -19 + a. Solve 3*k - 2*z = 12, -3*k + q*z = -3*z - 12 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 7 + -6. Suppose 0 = -4*m - u - 3. Put m, 2, 3 in decreasing order.\nAnswer: 3, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -15*f**2*k**2*z + 9*f**2*k**2 + 9*f*k**2 - 9*f*z + 3*f wrt f.\nAnswer: -30*k**2*z + 18*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8\/207, 0.6, -10 in decreasing order.\nAnswer: 0.6, 8\/207, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -252 + 1?\nAnswer: -251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 1083*z + 645. Does 12 divide u(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19*v - 8*v + 29*v - 5*v + 6.\nAnswer: -3*v + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b*b\/b**3)**(-3\/22)\/(b**(2\/5)\/b**9) assuming b is positive.\nAnswer: b**(961\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 5*x - 5 - 7 = 0, -4*m + 52 = 5*x. Sort -4, -5, m in decreasing order.\nAnswer: m, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1.357 - -0.333. Let u = -1.59 + a. Which is smaller: 52 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 293783 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-136)\/(-306))\/(5\/6*8))\/((-20424)\/3312).\nAnswer: -2\/185","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 29047 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 2120\/4 - 2 - 1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, -2\/9, 42, -1\/2, -0.08 in decreasing order.\nAnswer: 42, 0.2, -0.08, -2\/9, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert -140345 (base 10) to base 16.\nAnswer: -22439","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -54047 + 54068 = 6*m - 3*w, 4*w = -m + 8 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a + 1432*w - 2857*w = -1427*w - 28, -2*a + 3*w = 8 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(((sqrt(891)*2 + -5 + -3)*-3)**2 + 3)*-1.\nAnswer: -32655 + 2592*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 225430 (base 8) to base 13\nAnswer: 28b0b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -1. Let d(x) = 2*x**2 + x. Let w(g) = d(g) + s(g). Let p be w(1). Suppose 30 = 2*j + 5*o, -3*j + 5*o - 4 - 1 = 0. Solve -j*a - 15 = -p*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 622255679?\nAnswer: 97, 6415007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -2281988 minus -327866?\nAnswer: -1954122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*q**3 - q**3 + 0*q**3)*(-32 - 5 + 7)*(-5*q + 3*q + q) + (0*q**2 + 0*q**2 - q**3)*(-2 + 2 - q).\nAnswer: 61*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 7 + -7.3. Suppose 0 = 3*k + 5*g - 4 - 11, 4*g = 12. Let o = -0.3 - -0.1. Which is the nearest to k?  (a) 5  (b) o  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -d76921 - 2?\nAnswer: -d76923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (182\/234*6120\/(-1785))\/(4\/87*-1)\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 310\/(5 + 0 - 4). Let r = -148 + q. Is 18 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -2, 48\/509 in increasing order.\nAnswer: -5, -2, 48\/509","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 488 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1614 and 56556?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*s + 2 - 3*s - 172*s**3.\nAnswer: -172*s**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -436 - -435. Find the common denominator of -67\/60 and 4 + o + 525\/(-162).\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 43, 3, -2, 0.2?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = w**3 - 9*w**2 + 4*w - 43. Let u be n(9). Suppose 8 = q - 2*q. Is q smaller than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = 5*w**3 - w**2 + w. Let l be p(1). Suppose l*z - 3*z = 0. Suppose 4*s = 3*n + 4 - 5, z = -3*s + 6. What is the greatest common divisor of 2 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*q**2 + q**2 - q**2 + 0*q**2 in the form s + c*q**2 + p*q and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 409069?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-8)\/(-14) - (-1)\/((-21)\/(-93)). What is the second biggest value in 3\/5, 6, -5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -y**2 - 35*y - 140. What is q(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 16626903603 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -33920 divided by 6784\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 95*c - 99*c - 304 = 0. Let x = 77 + c. Solve 2*q = -3*y + 4, -q + 4*q + x = -y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*n - 5 = -a - 47, 3*a + 4*n = 3 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -q + 6 - 2. Suppose 0 = -q*b - 36 + 264. Suppose -4*t - 3*a - a = -72, 4*t = -a + b. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(18) - sqrt(144)\/(sqrt(8)*2))\/(-1*sqrt(6)*3).\nAnswer: -sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c*c\/((c**(-4)\/c)\/c*c))\/((c\/(c**7\/c*c)*c)\/c*c))\/(c*c*(c**(-7)*c)\/c*c*c*c\/(c\/(c**(-2\/13)\/c))))**35 assuming c is positive.\nAnswer: c**(7350\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -39.33 + 39. Let l = -1.63 - i. Let z = l + -0.7. What is the third smallest value in z, -0.5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = f**2 + 5*f + 5. Let d be q(-6). Let n = -6 + d. Suppose -22 = -n*m + 5*r + 328, 0 = -2*m + r + 139. What is m rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -1 - ((-25)\/(-4) - 7). What is the fourth biggest value in 0.07, 2\/17, y, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1625 and 19425275.\nAnswer: 1262642875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 298 divided by -7?\nAnswer: -298\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 845 a factor of 698894430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -12829 + 12832. Let d be (-1 + -1)\/2 - 2. Which is the closest to f?  (a) -2\/15  (b) -3\/7  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 92280 divided by -653?\nAnswer: -92280\/653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -14 - -14. Suppose k = -5*m - 4*c + 22, m - 8 = -2*c - 0. Suppose 29 = y - g - 57, -m*g = -4*y + 338. Does 25 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/75, 3, -52.3, 1\/7 in increasing order.\nAnswer: -52.3, -2\/75, 1\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 58954?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express -36 + 14 + 4160*j + 1 - 4145*j - 37 in the form r*j + i and give r.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 2262205 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 135 + 67 + 40*a + 10*a**2 - 2 - 8*a**2 = 0 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 0.5, -1552.3 in descending order.\nAnswer: 0.5, 0, -1552.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2.98 - -0.02. Let o = p - 2.8. Let k = -83\/3 + 28. What is the third smallest value in o, 3\/8, k?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2160706484 to the power of 1\/2, to the nearest integer?\nAnswer: 46483","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.22704 and -0.164?\nAnswer: 0.03723456","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1762 + 30*u**2 - 31*u**2 - u**2.\nAnswer: -2*u**2 - 1762","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-16 - -34) + 356\/(-20). Let a = 41\/6 - 15\/2. Let u = -0.1 - -0.2. What is the nearest to u in a, 3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 0 + (-38808)\/(-20) - 3\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) be the first derivative of 29*b**4\/24 - b**3\/6 - 23*b**2\/2 - 4. Let k(d) be the second derivative of x(d). Find the first derivative of k(a) wrt a.\nAnswer: 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5513 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/(-8) + (-125)\/40 + 3.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -k**3 + 4*k**2 + k - 3. Let v be c(3). Let a be (-1*8\/(-3))\/(4\/6) + 3. Suppose -r = -a + v. What is the nearest to r in -5, 7\/2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = 34*z**3 + 10*z**2 - 7*z - 20. Let s(j) = -33*j**3 - 10*j**2 + 6*j + 17. Let f(a) = 7*s(a) + 6*v(a). Find the third derivative of f(b) wrt b.\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = c**3 + 4*c**2 - 3*c. Let l be x(-5). Let g = 22 - -12. Let z = l + g. Solve -t + 4*u = 1, t = -3*t - 4*u - z for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(19))*-2 + 0 + -3*(sqrt(2299) + 1).\nAnswer: -35*sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*p + z - 2 = 0, 2*p = -248*z + 245*z - 10 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = 54*r**3 - 29*r**2 - 336*r - 288. Let p(t) = 18*t**3 - 10*t**2 - 112*t - 96. Let l(b) = -11*p(b) + 4*x(b). Let l(k) = 0. Calculate k.\nAnswer: -4\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 376496?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 47*l - 99. Let h be k(3). Solve 16*w = 23*w + h for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 273 a factor of 213010?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 1 n when two letters picked without replacement from {l: 1, n: 3, d: 1, u: 3, p: 2, v: 2}?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 773848 is divided by 33627?\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 25 minutes after 5:59 PM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 190203 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 27147.\nAnswer: 3, 9049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) be the third derivative of w**7\/5040 - w**6\/360 + 19*w**5\/60 - 12*w**2. Let t(g) be the third derivative of o(g). Determine t(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = u + 1. Let h be z(0). Let r(i) = -i - i + 3*i - h. Let k be (6\/15)\/(1\/(-5)). What is r(k)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-94)\/329*42\/8\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-96)\/(-240))\/((-12)\/5).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 6\/11, 63, 3.\nAnswer: -4, 6\/11, 3, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*o**5\/11 - 42*o**4\/11 + 148*o**3\/11 - 212*o**2\/11 + 138*o\/11 - 34\/11.\nAnswer: 2*(o - 17)*(o - 1)**4\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = o**2 - 11*o + 48. Let m be a(9). Suppose 31*b - 60 = m*b. Let r be (-2 - -7)*(0 - -3). Calculate the highest common divisor of r and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (1 - 6 - -3) + (-5 - -6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 43\/331968 and -56\/171?\nAnswer: 995904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 6) in base 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -224 and 0.200129?\nAnswer: -44.828896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 4131 - 4136. Let p = 0.37 - -0.03. What is the closest to 1\/2 in -0.1, q, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 251*o - 104*o - 2 - 57*o to z + q*o and give q.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express ((3*v - 2*v + v)*(4 + 2 - 3) - 2 + v + 2 - 46*v - 154 + 154 + (-3*v - 2*v + 6*v)*(1 - 3 + 3))*(-2 + 3 + 1) as u*v + c and give u.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) be the second derivative of 0 - 1\/2*v**2 + 4*v. Let k(f) = f - 5. Determine 2*d(i) - k(i).\nAnswer: -i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, -6, 13, 3.\nAnswer: -6, 0.2, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1\/5 - (-128)\/160)\/(9\/288).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 71 minutes after 2:06 PM?\nAnswer: 3:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is (7185\/9)\/((-2)\/(-6)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor l**2 + 246*l - 496.\nAnswer: (l - 2)*(l + 248)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (6*(-4)\/(-6))\/2. Let k(n) = -3*n**3 + 1 + 0*n + 4*n - u - 4*n**2 + 4*n**3. Let b be k(3). What is the biggest value in -1\/3, 0.5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 163631291 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l = 5*l - 255. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -4*x**2 + 5*x + 5. Let s(o) be the first derivative of 10*o**3\/3 - 6*o**2 - 12*o + 4. Suppose -5*h = 32 + 28. Determine h*c(u) - 5*s(u).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) be the third derivative of -t**7\/2520 - t**6\/90 + t**5\/40 - t**4\/24 - t**2. Let r(z) be the second derivative of y(z). List the prime factors of r(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 105 = 2*u + 4*v + 31, 2*v = 3*u - 143. Is u a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6 - 0 - -7) + 10 + 9?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:48 AM and 7:42 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) be the second derivative of -29*m + 17*m**2 + 0 - 17\/12*m**4 - 1\/6*m**3 + 1\/20*m**5. Calculate the remainder when 117 is divided by z(17).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1427?\nAnswer: 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*g - 2*g + 0*g)*(-4 - 5 + 3 - 213 - 215 + 154 + 1 - 1 + 1 + (2 + 3 - 3)*(-2 - 1 + 5) + 5 - 4 - 2).\nAnswer: 552*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 345 + -179. Suppose z - 521 = -j. Suppose 0 = 3*q + 3*a - 392 + 128, -a = 4*q - z. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8051361 is divided by 660.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.56 times -68?\nAnswer: -106.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 81, 348, 799, 1440, 2277?\n\"Answer: a**3 + 86*a**2 + 2*a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*o + 9*b - 11*b = -10, 5*o = -3*b + 26 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 2*b**2 - b - 3. Let u be w(2). Suppose 31 = -u*q - i - 5, -i = 0. Is -12 not equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 26496000 to the nearest 100000.\nAnswer: 26500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) be the first derivative of -w**3\/3 - 5*w**2\/2 + 3*w - 4. Let h be c(-6). Let g = 0.5 - -6.5. Sort g, h, -2\/7.\nAnswer: h, -2\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -3111, -6334, -9673, -13128?\n\"Answer: -58*b**2 - 3049*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 13*z**3 - 57*z**2 + 777*z - 1352. Let r(a) = 4*a**3 - a**2 - a. Let y(v) = 2*q(v) - 6*r(v). Let y(t) = 0. What is t?\nAnswer: 2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -31*k**3 - 21*k**3 + 51*k**3.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1323 and 5229.\nAnswer: 109809","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) be the first derivative of r**4\/4 - 8*r**3\/3 + 4*r**2 + 2*r - 22. Calculate m(6).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) be the third derivative of -s**5\/15 - 8*s**4\/3 + 938*s**2. Let t(l) = 0. What is l?\nAnswer: -16, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -921 - -907. What is the third smallest value in -9, c, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -5\/4  (b) 1  (c) 0.1  (d) -18\/7  (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d = 2 + 35. Calculate the remainder when 107 is divided by d.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.009697754 to three decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y + g = 8, -5*y - 40*g + 18 = -38*g for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -211552.8 to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(2\/25))**(-27) assuming f is positive.\nAnswer: f**(-54\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 14 + -3 + (14 - 18 - -3).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 237 divided by -11.\nAnswer: -237\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 964 = 5*n + 4*a, 9*a = -2*n + 10*a + 396. List the prime factors of n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1.4 + 0.4. Let v = g + -1. Suppose -5*m = -2*u + 7*u, -3*m = 5*u + 6. Which is the nearest to v?  (a) -1  (b) m  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 12 - 7. Solve -3*m = -b*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k = -2*s + 6, 4 + 6 = -5*s. Let y(g) = g**2 + 7*g - 11. Let q be y(-8). What is the remainder when k is divided by (q\/2)\/(3\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1.04 - -1.4. Let p = r + -0.35901. What is p rounded to four decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -74 = 66*t - 272. Solve t*p + r = -9, r - 3 = -2*p + 3*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q - q = -12. Let b = 3949 + -3946. Suppose a - b = 0, -5*a = 5*z + q - 52. Do -1 and z have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) be the second derivative of z**5\/10 + 23*z**4\/6 - 8*z**3 + 176*z + 2. What is h in r(h) = 0?\nAnswer: -24, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g = -3*o + 12, 3*o - 2*g = -0*o + 12. Suppose -42 = -o*p - 2*v, -4*p - 4*v = p - 48. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2734 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) be the second derivative of -j**4\/12 + 2*j**3 - 9*j**2\/2 - 5*j. Let u be k(11). Solve x - 5*n = -n + 3, 0 = -u*x - 3*n + 6 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-6)\/(-12)*0)\/(-1 + -1). Solve 2*f - 15 = -3*f - n, x = -f - n - 1 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -359 + 360.6. Which is the second smallest value?  (a) g  (b) -0.4  (c) -16  (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -9 - 242db05?\nAnswer: -242db10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.019643941 from 8.\nAnswer: 8.019643941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -v**2 - 4*v. Let n be r(-6). Let q be (4\/6)\/(2\/15). Let b = q - n. What are the prime factors of b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1568965 is divided by 130730?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 805 and 140.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*x**3 - 49555*x**2 - 122809675*x - 122760125 = 0. What is x?\nAnswer: -4955, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t*t**(1\/52))\/t*t\/(t\/(t*(t\/t**(2\/47))\/t*t*t*t*t)))**40 assuming t is positive.\nAnswer: t**(121630\/611)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 2 g when three letters picked without replacement from {b: 12, g: 7, k: 1}?\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1630?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*o**2\/5 - 33*o\/5 + 126\/5.\nAnswer: -3*(o - 3)*(o + 14)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 418659 is divided by 571?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -6\/5 in -0.05471, 1, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 318038877 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 17034\/23 at least 740?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*g - 8 + 1. Suppose 0 = 3*u, z + g + 2 = -2*u. Let m be 4\/(6\/z) + 2. Is -5 at least m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -66541.8 or 1\/6?\nAnswer: -66541.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 149\/346344 and 22\/87?\nAnswer: 10043976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) be the third derivative of -17\/40*k**6 + 2*k**2 - 7\/30*k**5 + 0 + 0*k**3 + 1\/12*k**4 - k. What is the third derivative of s(b) wrt b?\nAnswer: -306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 5, -51, 0.2, -84, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 38127 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.2 + -0.8. Let u = -0.1 + 0.2. Let s = u - 1.1. Which is the closest to s?  (a) 2  (b) 0.3  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 699 minutes after 1:47 AM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = v**3 + 3*v**2 - 2*v - 3. Let p(x) = x**2 + 15*x + 12. Let z = 21 - 35. Let o be p(z). Give c(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 smaller than -1\/80669?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = l + 2, -125*f + 5*l + 8 = -120*f - 27 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (10\/((-10)\/(-3)))\/(14\/(-4))?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + 21 = 3*g - l, 2*l = g - 7. Suppose -5*q - u = -116, -5*u + g = -q + 49. Let d be (1\/2)\/(4\/q). Solve 5*h - 3*r - d = -5*r, -5*h - 9 = -r for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 5?  (a) 0.5  (b) 28  (c) -0.01  (d) 5  (e) 0.755\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 8554 to the power of 1\/2, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a = -3*r + 10, -2*r + 48 = -4*a + 18. Suppose -17 = -2*w - 5*m - 4, 2*w - r = 3*m. Is w < 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 7, h: 2, x: 2, b: 1, i: 2, q: 2}. What is prob of picking 1 b and 2 y?\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 86284, 172160, 258036, 343912?\nAnswer: 429788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-1)\/4 - ((-116)\/16 - 3). Let z(p) = 2*p**3 - 8*p**2 + 3*p + 5. Let r be z(7). Suppose -3*a - a = -r. Calculate the greatest common divisor of t and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 170*(2\/(-7) + 342\/315)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4 + sqrt(468) + -1 - sqrt(468) - -1*sqrt(468)*-2)*2)**2*5.\nAnswer: -1440*sqrt(13) + 37620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1473 + 1074?\nAnswer: -388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 - -3) + 1 + 4 + -1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 3*b + 11*b**3 + b**2 - 7 + 5 - 4*b**2. Let c(q) = q**2 + 7*q + 8. Let a be c(-1). Let i be u(a). What is the greatest common divisor of i and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence emf when three letters picked without replacement from {e: 2, f: 5, g: 4, y: 1, x: 1, m: 2}.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uuut when four letters picked without replacement from {t: 1, i: 1, b: 1, q: 1, u: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-2\/29)\/(w\/(w*w*(((w*w**(-1\/5)*w*w)\/w)\/w)\/w*w*w)))**(16\/9)*(w**(1\/3))**8\/(w*w**(-3)*w**(2\/3)) assuming w is positive.\nAnswer: w**(1284\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 2*x**2 + 11*x + 4. Determine p(-7).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r = -5*c + 21, -r - 4*r + 30 = 2*c. Let f(h) = 3*h**3 - 3*h**2 - 4*h + 2. Calculate the remainder when f(3) is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -h**3 + 13*h**2 - h + 25. Let a be z(13). Let k be a*(4 + 22\/(-6)). Solve 8 = k*y - 4 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 5126040 and 111.\nAnswer: 189663480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = t**2 - 5*t - 4. Let q be s(5). Let r be (-1)\/(-3) + q\/(-6). Let m(n) = -r + 2 - 2 + 2*n + 3. Determine m(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine t so that 3*t**2 + 18319653*t + 18319650 = 0.\nAnswer: -6106550, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 7 + 3)*(0 + 715*i + 2 - 742*i).\nAnswer: 54*i - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 0, 302 in descending order.\nAnswer: 302, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -146 divided by -171.\nAnswer: 146\/171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 4902000 rounded to the nearest 100000?\nAnswer: 4900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*t + 9*t = -4*j + 14, -5*j - 2 = -4*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 6, j: 4}. Give prob of picking 4 j.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*n = w + 9, 4*w + 3*n = 10*w - 12 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -34 + 44. Suppose l = -l + x. Solve -p = -l*d + 22, 13 = 4*d + 4*p + 5 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -14 + (16 - 5) + -7.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 53 + -7. List the prime factors of h.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 16828.78 weeks to days.\nAnswer: 117801.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 32 is divided by 22.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 526 - 524. Solve -1 = -w + d, 3 = 5*w + 2*d - b for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is g in -5*g**2\/3 - 2303210*g + 6909635\/3 = 0?\nAnswer: -1381927, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*i = -2*i + 30 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 59697?\nAnswer: 3, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 69627 to the power of 1\/2, to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -107*r**3 + 350*r**2 - 351*r**2 + 6 - 5 to the form o*r + v*r**3 + z + i*r**2 and give v.\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 49 + -47. Let s = -8 + 13. Find the second derivative of 4*m - r*m - 3*m**3 - m + s*m**3 wrt m.\nAnswer: 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 107 minutes before 10:17 AM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve u + 3*u - 6*u - 2 = 0, -2*u = s - 11 + 2 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 1 p when two letters picked without replacement from {h: 7, w: 6, p: 1}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1216374 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = 4*r - 43. Let m be n(12). Suppose -m*c = -4*t - 3257, -4 = -2*t - 10. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 500 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*b - 5*d - 5, -11*b + 2195 = -4*d + 2266 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 39 + -44. Let j(u) be the second derivative of -u**3\/6 + 2*u**2 - u. What is the units digit of j(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/11, -0.3, 14.985439 in descending order.\nAnswer: 14.985439, -2\/11, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 2928126 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) be the first derivative of 2*l**7 - 7*l**3 - 15. What is the third derivative of y(b) wrt b?\nAnswer: 1680*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:30 AM and 3:40 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*s + 5*s - s)*(-13 - 16 + 3*s**2 + 27) + (2*s - s - 4*s)*(4 - 4 - s**2) as c*s**2 + n*s + b*s**3 + a and give b.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 3 + 0)*(-1 - 7 - 11)*(-2*l + 2*l + 5*l**3).\nAnswer: 95*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -28*q**3 - 3*q**2 - 334*q + 336. Determine m(1).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 57\/226 and -49\/8.\nAnswer: 904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4 - -5. Suppose -d + 3 = -0. Let g = 11 - 15. Which is the closest to m?  (a) d  (b) -2\/9  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1008\/45 + (25 - 23) + 12\/(-5). Solve -4*f - 5*o = -0*o - 7, 4*o = 5*f + p for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -62*c**4 - 10*c**4 + 6*c**4 + (3*c**3 + 0*c**3 - 2*c**3)*(1 - 1 - 2*c).\nAnswer: -68*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -4 + -34271?\nAnswer: -34275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-6)\/8)\/((-32550)\/(-2800)).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + -37 + (1474 - 1360) + (-2 - 11)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 divided by 97?\nAnswer: 11\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = z**2 + 7*z + 4. Let w be r(-8). Suppose w = l - 8. Suppose -5*g + l = -25. Calculate the greatest common factor of 3 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = s**2 + 10*s + 65. Determine z(-10).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10 - (19 - (1 - -6)) - (-17 + 3).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.27202414 rounded to three decimal places?\nAnswer: -0.272","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*u**4 + 6160*u**3 + 1826565*u**2.\nAnswer: -5*u**2*(u - 1479)*(u + 247)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3 - 2.9. Let t = 347\/555 + -25\/111. Let g = 161 - 641\/4. What is the closest to g in t, h, -1\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 1692588 and 86506.\nAnswer: 1779094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -32 + 10 + 20 + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**3*(p**(-1\/2)*p)\/p*p\/(p**(-3)\/p)*p*p**(-5\/6) assuming p is positive.\nAnswer: p**(23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*m = 35 + 31. Solve -5*b - 2*p + 7*p = -20, -4*b + m = -2*p for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n*n**7*n*n**(-2)*(n\/(n\/n**(-1)))**(-20)*(n**(-1\/2)*n)\/(n\/(n*n\/(n*n**(-3\/4)*n)))*(n*n**(-6))\/(n*n**(-2\/7)) assuming n is positive.\nAnswer: n**(603\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 85 and 4005.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 4, k: 4, q: 3, o: 4}. What is prob of sequence kko?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 6, p: 2, y: 9}. Give prob of sequence yym.\nAnswer: 9\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -17fd - d5c?\nAnswer: -2559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t + 42 + 28 = -2*q, -2*q - 62 = t. Are q and -31 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 7878687 and 4?\nAnswer: 31514748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 106 + -87. What is the biggest value in 4, -2\/5, -8, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = 10*p**3 - 2*p**2 - 6*p + 1. Let n(k) = -21*k**3 + 4*k**2 + 13*k - 2. Let s(l) = -13*i(l) - 6*n(l). Calculate s(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24 = -13*c + 154 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -1.6  (b) 1  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/463 not equal to 193.29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*v = 537 + 543. Let r be v\/420*4 + (-8)\/(-28). What is the nearest to r in -3, 0.4, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5624)\/(-8436)*-1*1\/(-18).\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 31118 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -b**5 + b**3 - 8216*b**2 - b + 26352 wrt b.\nAnswer: -20*b**3 + 6*b - 16432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 14795457?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 688 minutes after 12:09 AM?\nAnswer: 11:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -x**3 + x**2 + x + 1. Let i(f) = -3*f**3 + f**2 + 2*f + 2. Let u be (4\/6 - (-40)\/12) + -5. Give u*i(k) + 2*v(k).\nAnswer: k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10175514 is divided by 5087726?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 427588*b**2 - 876*b - 30?\nAnswer: 855176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*r**3\/5 + 206*r**2\/5 + 344*r + 2632\/5.\nAnswer: 2*(r + 2)*(r + 7)*(r + 94)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1299 + 1294. Sort l, 2, 7, -3.\nAnswer: l, -3, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 24442345*x**6 + 19113871*x**2 wrt x.\nAnswer: 2933081400*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5639*s - 138 + 2247 = -5696*s for s.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 530 minutes after 3:59 AM?\nAnswer: 12:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (-10*12\/32)\/((-12)\/8)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-9)\/(-6))\/((-4)\/1256). Let g = f + 510. Solve 41*u = g*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = w + 14. Let h(p) = 9*p + 269. Calculate the remainder when h(-27) is divided by a(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -154, 10, 31, -7, -5, 5 in ascending order.\nAnswer: -154, -7, -5, 5, 10, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = 2*t - 1. Let w be c(2). Find the third derivative of 0*f**3 - 3*f**3 - f**3 + 3*f**w + 2*f**2 wrt f.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = 2*m. Let x(u) = 28612*u**2 + 990*u. Give g(x(d)).\nAnswer: 57224*d**2 + 1980*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.8 and 371.11781.\nAnswer: 371.91781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -2 and 0.004431.\nAnswer: -0.008862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -62\/103569 and 37\/474.\nAnswer: 207138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 5*o = -27, -3*f + 8*f - 15 = -5*o. Let i = -3850 + 3852. Solve 4*x + 4*r + f + 25 = 0, i*r = -4*x - 22 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 49\/8063 and -27\/352.\nAnswer: 258016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 33 and 853402?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 22 - 0 - (1166 + -1168)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 147*a + 128*a - 13750 for a.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 16, 37, 66, 103?\n\"Answer: 4*d**2 + 9*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0 - 1. Let v = -85216616\/6975 + 377840\/31. Let x = 260\/9 + v. Which is bigger: w or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8405494 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -18, -104, -204, -318, -446, -588, -744?\nAnswer: -914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 30 (base 13) to base 15\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(120) + sqrt(120)*-3*2)\/(sqrt(160) + sqrt(160)*-1 + sqrt(10))*-2)**2.\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 29191 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from nhhhnnnhnnhn?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 16, -5, -6 in descending order.\nAnswer: 16, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (64 - (-3 - -2))*2. Suppose -5*j - 5*a = -135, -5*j + 3*a + q = 7*a. What are the prime factors of j?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2\/9 - -4\/9. Let z = -6 + 11. Sort t, -0.5, z.\nAnswer: -0.5, t, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 254 minutes after 3:42 AM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 18, 57, 114, 183, 258, 333?\nAnswer: 402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 549352 is divided by 3980?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -109 + 1 - ((14 + -29 - 33) + 33)\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b + 26 = -38. Let n be (-3)\/(-8) - (-12)\/b. What is the nearest to -1\/4 in n, 2\/11, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 267?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 2*x**2 + 4*x - 4. Let p(s) = -8*s + 10 + 21*s - s**3 - 11*s - 7*s**2. Let q be p(-7). Let a(u) = 3*u**2 + 5*u - 5. Give q*a(v) + 5*j(v).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 7139790959 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 4.3, -16, -0.5, 27\/4, 15, -2\/7?\nAnswer: 4.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 590462?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -39750, -45423, -51096, -56769, -62442?\nAnswer: -68115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -34 <= -28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5575?\nAnswer: 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -424*t - 748 - 180 - 103 - 492*t with respect to t.\nAnswer: -916","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -31 (base 5) in base 2?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -4*m - 2. Let o(j) = -38 - 12 - 41 + 5*j - 42 + 134. Calculate -4*o(t) - 3*v(t).\nAnswer: -8*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 1, 3\/8, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) be the first derivative of 5*u**6\/6 + 43*u**4 + 1225*u**3 + 408. What is the third derivative of v(a) wrt a?\nAnswer: 300*a**2 + 1032","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -5*s**3 + 22*s**2 + 11*s - 51. Is h(-13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20375539 is divided by 6791821.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 8762435, 17524866, 26287297, 35049728, 43812159, 52574590?\nAnswer: 61337021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -d + 1. Let f(x) be the first derivative of 4*x**2 - 4*x + 7. Let b(i) = -f(i) - 10*u(i). Differentiate b(o) wrt o.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1.2615 - 1.51. What is a rounded to two dps?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 23  (b) 1\/11  (c) 4  (d) 0.3  (e) -0.4  (f) -1\/18  (g) 6\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (21\/(63\/(-12)))\/(2\/300000). What is x rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 400\/8*(-175)\/(-10)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-5)\/14)\/((85\/34)\/((-2)\/1)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve c + b + 1 = -c, 19 = -5*c + 3*b for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) be the first derivative of 43 + 9\/8*w**2 - 3\/16*w**4 + 0*w**3 - 3\/2*w. Factor l(m).\nAnswer: -3*(m - 1)**2*(m + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in fifty-three quarters of a microgram?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-24)\/(22176\/(-15684)) - 51\/3\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1901658074?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2)\/8 + 30\/(-8). Let p be (-36)\/(-3*r\/750). Let t be p\/((-3)\/(-200)*1). Round t to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -147 by 934667.\nAnswer: -147\/934667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 8288 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 5\/28469406 and 103\/112.\nAnswer: 227755248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3 - 1. Sort 0, 1, w in increasing order.\nAnswer: 0, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 42, 156, 336, 582, 894, 1272?\nAnswer: 1716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(76) + -3 + -4)*-4.\nAnswer: -16*sqrt(19) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.916451 seconds in minutes?\nAnswer: 0.03194085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 270*u - 275*u + 10. Factor 2*t**3 + 43 - 10*t + 4*t**u - 31 - 24.\nAnswer: 2*(t - 2)*(t + 1)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m - 19 = 2*k - 29, 3*m - k + 13 = 0. Sort m, -264, 3 in descending order.\nAnswer: 3, m, -264","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 330 divide 604099932?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 30811 in -14\/57, 5, 0.3, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 569108 or 5121980\/9?\nAnswer: 5121980\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*f + 1 = 5, 26 = -5*g + 3*f for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 4 - 2*a**2)*(823*a - 2506*a + 9902*a).\nAnswer: -16438*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 83016140 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gmmk when four letters picked without replacement from kmtmttmgggmgttggtt?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -56 - -159. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of j**3*o**5 + 3683*j**3*o - 2*j**2*o + 1492*j*o + 46080846*o**5 wrt o.\nAnswer: 20*j**3*o**3 + 921616920*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 11*d**2 + 7*d**2 - 2*d**2 to the form t*d**2 + y + q*d and give t.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 29 + -26.01. Let n = -0.8 + 0.79. Let i = d - n. Sort -5, i, 2\/7 in decreasing order.\nAnswer: i, 2\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = p**3 + 5*p**2 + 3*p + 3. Let z be k(-4). Suppose -4 = 2*r + 5*n, -z = -r + n - 2. Solve 0*c - r = 3*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 37457078 and -555.25.\nAnswer: 37456522.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + sqrt(48) + -4)**2 + -5.\nAnswer: -8*sqrt(3) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = 51*d**2 + d + 6. Let y be w(5). Let x be 4*(-1)\/(-8)*y. Let u = -312 + x. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -356812409\/72 + 4955396. Let n = -167608\/45 - -20222\/5. Let h = l + n. What is the common denominator of 7\/3 and h?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -40, -249, -610, -1117, -1764?\n\"Answer: k**3 - 82*k**2 + 30*k + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*s**4 - 1632*s**3 + 47092*s**2 + 48720*s = 0. What is s?\nAnswer: -435, -1, 0, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 33 - (3 - (9 - 22))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + 133 = 3*i. Let s = 31 - i. What is the common denominator of -79\/22 and 56\/s*9\/(-88)*-2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + (294 - 276) + (1 - 2 - 4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 192\/(-80)*(-11)\/22*-15?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -4*d. Let m be 2\/(-8) + (-54)\/8. Let b = 15 + m. Let p(n) = -b + 8 + 2*n. Calculate p(w(o)).\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s = 3*a - 81, -4*s = 2*a - 3*s - 67. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 5 - 4*k)*(k - 7*k + 3*k)*(-3 + 3 + 5*k).\nAnswer: 60*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3.624146 millennia to years.\nAnswer: 3624.146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 - q)*(2 - 4 + 0) + 2*q + q - 4*q.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 45\/18*2*4\/10\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 6636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*q + 3*q + 2*q)*(2*q**4 + q - q) - 358*q**2 + 358*q**2 + 1998*q**5.\nAnswer: 2002*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 7  (b) -15  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1 + 3. Let z(l) = l**2 - 5*l + 6 + x*l + 5*l. Is z(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -91\/30 and 6\/15 - (-11415)\/3150.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ninety-four sevenths of a week in hours?\nAnswer: 2256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/7?  (a) -0.6  (b) -3  (c) 5  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -91 + 93. Solve -2*z = -0 - a for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 10239 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 133*n**2 + 2*n**2 + 63*n**2 + 32*n**2 to the form q*n**2 + z*n + j and give q.\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Determine d so that -4*d**4 + 64*d**3 + 12776*d**2 - 576*d - 114660 = 0.\nAnswer: -49, -3, 3, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 5*v - 12 = 0, 2*y - 20 = -3*v. Let o = -41 - -44. Let d be ((-5)\/o)\/((-35)\/42). Solve 0 = -2*n - d*n + y for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -81390 divided by -16278\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 2\/8 + (-129)\/(-12). Let u = 5 - s. Let f be 4\/6 + 17\/(-3). Are f and u unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.02 + -0.98. Let m = r - 0. Let w = -0.9999996 - m. Round w to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine w, given that w**4\/2 - 279*w**3\/2 + 12651*w**2 - 361778*w - 775284 = 0.\nAnswer: -2, 69, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -140*o**3 - 63*o**2 wrt o?\nAnswer: -840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -83\/19000 and 137\/52250.\nAnswer: 209000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 18 - -33. Does 17 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-1)\/4)\/(18\/16). Let c = 0.2 + 0. Sort z, c, 2 in decreasing order.\nAnswer: 2, c, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*n = 4*n - 140. Let f be 4\/14 - (-20)\/n. Suppose -2*d + f*d + 10 = 0, -12 = l - 5*d. Is l a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = 58*u**2 - 17. Let b(h) = 29*h**2 - 9. Determine 11*b(r) - 6*n(r).\nAnswer: -29*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**3\/q)**15)**33 assuming q is positive.\nAnswer: q**990","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -2*c**2. Let l(z) = 542*z**2 - 17. Give l(a(q)).\nAnswer: 2168*q**4 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 9, u: 10}. Give prob of sequence uu.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -62187*i**2 - 326939*i wrt i?\nAnswer: -124374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -230 divided by -600.\nAnswer: 23\/60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 1325.030964 rounded to zero decimal places?\nAnswer: 1325","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -t**2 + 13*t - 7. Give w(9).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = 4*k + 7, 2*k + 18 = 2*m. Suppose 0 = m*z + 5*z - 1419. What are the prime factors of z?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 7 + -7.9. Let i = w - 0.1. Let j = -3 + 3. Which is the smallest value?  (a) i  (b) j  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 69\/18370 and 11\/145?\nAnswer: 532730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 508 divided by -15.\nAnswer: -508\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find s such that -19\/2*s + 6 - 1\/2*s**3 + 4*s**2 = 0.\nAnswer: 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 41  (b) 2  (c) -0.4  (d) -2\/9  (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = t**2 + 7*t + 5. Let s be q(-2). What is the closest to 0.1 in 0.36, s, 0.4, 2?\nAnswer: 0.36","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.6765722 months in decades?\nAnswer: 0.013971435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -90*k**3*w**2 - 284*k**3*w - 3*k**2*w**2 - 8*k**2*w + w**2 - 158*w wrt k.\nAnswer: -540*w**2 - 1704*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 5, u: 2, o: 5, l: 2, i: 1, v: 1}. What is prob of picking 1 o and 1 v?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.101110187*0.2.\nAnswer: 0.0202220374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-10)\/(-1))\/(-4 + 6). Let n = a + -7. Let o = 6 + n. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 5 - 2)*(6*b - 4*b - b)*(5*b**2 - 4*b**2 + 0*b**2) + (-1 - 1 + 3)*(-b**3 + 3*b**3 + b**3).\nAnswer: 5*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2 - -4. Suppose -t = 4*p - 13, 2*p - 4*t = 5*p. Solve -j*o + k = 1, 2*o - 23 = 3*o + p*k for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*f - 5*b = -11, 682*b - 548*b = -4*f - 166 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -35101732.3 rounded to the nearest 1000000?\nAnswer: -35000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -47, -5, -1, -7, 206 in ascending order.\nAnswer: -47, -7, -5, -1, 0, 206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r and 1 j when two letters picked without replacement from jjjjjrjjjjjjj.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 8394 - 403003\/48. Find the common denominator of g and 119\/54.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1173971 to the nearest integer?\nAnswer: 1083","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -28 - -40. Suppose 10*n + 94 = -26. Let k be l\/(-18) + (-2)\/n. What is the second biggest value in -3, k, 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 72821 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -193344 - -6a?\nAnswer: -193285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 439062 divided by 1.\nAnswer: 439062","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-6)\/33 + -136*8\/(-176). Let x(q) = 18*q. Let k(n) = 17*n. What is r*k(a) - 5*x(a)?\nAnswer: 12*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -13\/498 and (30\/8)\/15 - (-484)\/(-240).\nAnswer: 2490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -86865726.0420782 - -89085022.74605. Let a = 2219118.704 - t. Let s = a + 178. What is s rounded to 6 dps?\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q = -q + 195. Let m = q - 19. Does 10 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 279*37.3\nAnswer: 10406.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 542, 3, -21 in decreasing order.\nAnswer: 542, 3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m - 4*h = -18, 8*m - 7*m + 4*h + 2 = 0. Let b = -2 - -7. Solve m*z - 5*w = b*z - 15, -w = -4*z - 3 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-12)\/(13320\/75))\/((35\/(77\/(-11)))\/3).\nAnswer: 3\/74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 0.0340307ml?\nAnswer: 0.0000340307","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d - 1 = 5*t - 5*d, 21 = 3*t + 3*d. Let v(l) = 1 - l**t - 5*l**2 + 2 + 6*l + 11 - 5. Determine v(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -30*c**2 + 236*c - 236*c.\nAnswer: -30*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 215*d - 2. Let c be y(1). Suppose -l + 5*i = -149, 2*l - 553 = -4*i - c. Let a = -96 + l. Calculate the greatest common divisor of a and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (177*m**3 + 192*m**3 - 456*m**3 + (m + 5 - 5)*(4 - 4 + 2*m**2) + 2 + 2*m**3 - 2 + 0*m**3 + 0*m**3 + m**3)*(0*m + m + 0*m).\nAnswer: -82*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4 + 16 + 5)*(0*m - 5163 + 5198 - 3*m) in the form y + v*m and give v.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1142 and -1.719?\nAnswer: -1963.098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2928.37 kilometers to centimeters.\nAnswer: 292837000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2314 divided by 1157?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -20, -45, -86, -143, -216?\n\"Answer: -8*b**2 - b - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 387 minutes before 1:17 PM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -10931, -10917, -10905, -10901, -10911, -10941?\nAnswer: -10997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) be the first derivative of 1 - 5\/2*b**4 + 0*b + 0*b**3 + 3*b**2. Find the second derivative of j(s) wrt s.\nAnswer: -60*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 2, a: 6, w: 4, k: 2, d: 2, r: 1}. What is prob of picking 1 w, 1 a, and 1 i?\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 98572 to the power of 1\/2, to the nearest integer?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vkvv when four letters picked without replacement from {v: 6, k: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 1\/28 of a week?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 4*c + 53. Let z be f(-13). What is the second derivative of -7*i**2 - i + i**5 - 24 + z - 2*i**5 wrt i?\nAnswer: -20*i**3 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 37 = -4*r + 7*o, 632*o - 635*o + 30 = 3*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 12*j**2 - 79*j + 3. Let y be k(7). Suppose 3*h = 4*q - y, 0 = -4*q + 3*q + 5*h + 18. Solve -6*n - 4*w - 8 = -q*n, -2*n - 2*w = -8 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 261969792 and 15593440?\nAnswer: 1309848960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d = -2*d + 8. Let q(i) be the first derivative of -1\/4*i**4 + 1\/3*i**3 + 0*i**2 + 0*i - d. Find the third derivative of q(o) wrt o.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -2*f + 25. Calculate o(14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2159 - -2170. Solve r + 3*y + 0*y + 2 = 0, 2*r = y - d for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 1, q: 4, v: 2, p: 1}. Give prob of picking 1 p and 1 d.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(-2\/15)*i)\/(i\/i**18))\/(i**16)**(-1\/7) assuming i is positive.\nAnswer: i**(2116\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*u - 9*u + u**2 + 1 + 3*u**3 + 6*u**2 - 5*u + 15*u as l + c*u**2 + z*u**3 + d*u and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 63b2 - 5dd?\nAnswer: 5bb3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) be the first derivative of 4*g**7\/7 - 16*g**3\/3 + 16. Find the third derivative of y(v) wrt v.\nAnswer: 480*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -41 + -1021353?\nAnswer: -1021414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6946684?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 2397322 rounded to the nearest 100000?\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = 5*v**2 + 2. Let s(f) = f**2 + 1. Let h(r) = -j(r) + 2*s(r). Let l(i) = -4*i**2. Give h(l(c)).\nAnswer: -48*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + j + 0)*(-j - 4*j + 4*j) - 22*j**2 - 1714 + 1714.\nAnswer: -23*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor n**2 - 67*n.\nAnswer: n*(n - 67)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 282628 and -3.\nAnswer: -847884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.3 - -0.3. Put 0.3, w, -2 in descending order.\nAnswer: 0.3, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1  (b) -9  (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5237, 10381, 15525, 20669, 25813, 30957?\nAnswer: 36101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1811 is divided by 544?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(468) + 2*sqrt(468)*2)\/sqrt(9))\/(1*(6*sqrt(4)*2 + sqrt(4))).\nAnswer: 5*sqrt(13)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 538, 1547, 4236, 9445, 18014?\nAnswer: 30783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/45?  (a) 3\/4  (b) -4  (c) 32\/9  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**6*h**2*(h\/(h\/(h\/h**2)))**(-7\/5) assuming h is positive.\nAnswer: h**(47\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -1, 3, 250 in ascending order.\nAnswer: -3, -1, 3, 250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -6.296 - -4.058. What is z rounded to one decimal place?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) be the first derivative of 5\/3*d**3 + 0*d + 0*d**4 + 2\/5*d**5 + 4 + 0*d**2. What is the third derivative of x(j) wrt j?\nAnswer: 48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from izctccxczzcr. What is prob of picking 1 i, 1 t, and 1 r?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.25 - -0.05. Which is the closest to 1?  (a) -0.5  (b) y  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = 2*u. Let l(k) = -4*k. Let d(q) = -q + 6. Let j be d(0). Let v(t) = j*l(t) + 13*i(t). Let p(n) = 3*n**2. Calculate p(v(a)).\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 952.8247 weeks?\nAnswer: 576268378.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 190290603*l**3 + 2*l**2 - 8316746 wrt l.\nAnswer: 1141743618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((1 - 1 - 2*k)*(11*k + 2*k - 15*k) + 2*k**2 - 5*k**2 + k**2 + (k + 1 - 1)*(3*k - 3*k + 4*k))*(-2*k - 2*k**3 + 2*k).\nAnswer: -12*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 2, k: 2, r: 5}. Give prob of picking 2 k and 1 s.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = j**2 + 3*j + 3. Let m = 0 + -2. Let l = m + 1. Let f(a) = -a - 1. Calculate l*x(p) - f(p).\nAnswer: -p**2 - 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1\/3  (b) 2  (c) 0.5  (d) -1\/51  (e) -86\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v - 1971 = -7581. Let x be 2\/4 + 1*90\/36. What is the common denominator of -133\/6 and (-2)\/15 + (v\/(-20))\/x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 10894 + -10894. Sort -4, r, -630.\nAnswer: -630, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) be the third derivative of -4*b**2 + 0*b**3 + 0*b**5 + 7\/24*b**4 + 0 - 1\/60*b**6 + 0*b. Find the second derivative of p(a) wrt a.\nAnswer: -12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from uecbbubcb.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) be the first derivative of 7*o**3 + 14*o**2 - 13. What is the second derivative of y(r) wrt r?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 67*g + 168 = 75*g. What is the remainder when 98 is divided by g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 0.1  (b) -208  (c) 4  (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1139.4 - 1138. Which is the nearest to -2?  (a) 4  (b) -0.2  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -q**4\/4 + 31*q**3\/2 - 240*q**2 - 31*q\/2 + 961\/4.\nAnswer: -(q - 31)**2*(q - 1)*(q + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24 = -58*q + 46*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-3)\/(-9) - (-560)\/21. Solve 3*l - 3*p = 0, p - t = 5*l + 5*p for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) be the second derivative of -2\/9*k**2 - 3*k + 1\/54*k**4 + 1\/27*k**3 + 0. Let u(y) = 0. Calculate y.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.12 + 0.32. Put h, -0.01, -4 in descending order.\nAnswer: h, -0.01, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4873*h + 5904 - 474011 = 774*h + 17535 for h.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (40\/(-12))\/((-10)\/45). Suppose -14*q - m = -17*q. Solve x - 4*h + 9 = 0, q*x - 5*h = -13 - 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*s - 13 - 71. Solve s - 8 = 4*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 635 + -66674\/105. Let i(k) be the third derivative of 0*k**6 + 0 - 2*k**2 + x*k**7 + 0*k + 1\/6*k**3 + 0*k**4 + 0*k**5. Differentiate i(a) wrt a.\nAnswer: 8*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (25 - 2) + -1 + 1. Let v(m) = -m**3 + 2*m**2 - 2*m + 2. Let d be v(3). Let t = d + i. Calculate the remainder when t is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -8*q + 339. What is the lowest common multiple of q and 3?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 31\/5 of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 999128299 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + ((3*(1 + sqrt(1573)) - sqrt(1573)) + (sqrt(1573) + sqrt(1573) + -1)*6 + (sqrt(1573) + -1 + 4 - sqrt(1573)) + 4 + -1*sqrt(1573))**2*6.\nAnswer: 6864*sqrt(13) + 1595122","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.5 in 0.4, -4, 2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 4*q + 7. Let k = -38 + 69. Let f(p) = k + 2*p + 0*p - 27. Let a(b) = -2*d(b) + 5*f(b). Give a(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1078214539?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -511 less than -511?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 66 + 21 = -g - 2*y + 7, -3*g - y = 30 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((b\/(b**3\/b))\/b**(2\/19))\/((b*b\/(b\/(b**(2\/15)*b)))\/(((b*(b\/b**(-1\/8))\/b*b*b*b*b)\/b)\/b)))**(-35))**(-4\/5) assuming b is positive.\nAnswer: b**(-1813\/570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 5604, 5, 1\/5, -1?\nAnswer: 5604","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 41326163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -8.833 + 8.333. Put 111, i, -1, 0.8 in ascending order.\nAnswer: -1, i, 0.8, 111","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.034757 and -46.8.\nAnswer: -46.765243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (15\/(-6))\/((-2)\/336). Suppose 5*s - 3*c = 3398, c + 1359 = 4*s - 2*s. Let m = s - v. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -o - 2. Let x(a) = a + 1. Let m(d) = -j(d) - 2*x(d). Let r(y) be the first derivative of 0*y**2 - 1\/3*y**3 - 3 + 0*y. What is r(m(p))?\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -304.999385 - -305. Round g to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = 23*x + 10. Let f(d) = 2*d - 2. Let n(b) = 5*f(b) - r(b). Suppose -u - 4*u - 3*q - 33 = 0, 39 = -3*u + 3*q. List the prime factors of n(u).\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b - 5*m = -0 + 1, 3*m + 3 = 3*b. Find the second derivative of 18*c + 12*c**b + 0*c**2 - 40 + 40 wrt c.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1276 and 5452.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 11869424 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: How many litres are there in 426.4926 millilitres?\nAnswer: 0.4264926","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -5*c**3*q + 11788*c**2 + 27330*q + 6 wrt c?\nAnswer: -15*c**2*q + 23576*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2772053381 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + 5 + (-26 - -23).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 84362429 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 630 minutes before 1:13 PM?\nAnswer: 2:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -15  (b) 1\/7  (c) -0.1  (d) -7  (e) -4  (f) -103  (g) -10\/11\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 5, y: 2}. Give prob of sequence yb.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 86407361 divided by 6.\nAnswer: 86407361\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -7.5 + 7.2. Suppose 4*l - 96 = -88. What is the closest to l in o, 1, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*n**2 - 794160*n + 52392780 = 0 for n.\nAnswer: 66, 158766","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30 = -5*j + 2*s, -5*j + s - 15 = 2*s for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*m**3 - 646044*m**2 - 2584224*m.\nAnswer: 3*m*(m - 215352)*(m + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 24260 + -24260.1. Let h be 16\/65 + (-4)\/10. Put h, q, 2\/9, 1\/4 in decreasing order.\nAnswer: 1\/4, 2\/9, q, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-7)\/5)\/(45\/(-1275)). Let h = b - 39. What is the second smallest value in h, 2\/7, -0.1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 78 a factor of 7332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1343 + 1909 + 8*k**3 + 7*k**3 + 1570 - 14*k**3 to j*k + z*k**2 + w*k**3 + x and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -12276, -24256, -35958, -47382, -58528, -69396?\nAnswer: -79986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w = -6 - 3. Factor -9 + 14*i + 3*i**4 + 3*i**3 - 27*i**2 - w + 6*i + 13*i.\nAnswer: 3*(i - 1)**3*(i + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 380.718563 to two dps.\nAnswer: 380.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 728.46 rounded to the nearest ten?\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:18 AM and 3:17 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-49 + 8*o**2 + 49)*(-104*o - 19*o - 6*o)*(0*o + 4*o - 3*o) to q*o + z*o**2 + d*o**3 + x*o**4 + b and give x.\nAnswer: -1032","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -135?  (a) -1  (b) -1\/3  (c) -1448  (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4372 + 4372.0000002908. What is i rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:31 PM and 10:58 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 42?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = h. Let s(n) = -n + 1. Let l(r) = -4*r - 5. Let p(z) = -l(z) - 3*s(z). Calculate -p(t) + 6*x(t).\nAnswer: -t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x = 5*x + 4. Is ((-6)\/8)\/(x\/44) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -j**3 - 5*j**2 - 2*j - 6. Let i be f(-5). Let n(g) = g**2 - 4*g + 3. Let q be n(6). Suppose -q = 3*y, y + 8 = k + 1. Solve i = -r + k*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ujjjujju. What is prob of picking 2 j?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.5 + 8186598461.\nAnswer: 8186598461.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.4  (b) 0.48  (c) -0.3  (d) -12\/11  (e) -4  (f) 2  (g) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 2*t = 46, -4*v + 2*v - 3*t + 3 = 0. Let n(b) = 3*b. Let y(l) = 0*l - 5*l - 2*l. What is v*n(c) + 4*y(c)?\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -22213310231 (base 4) in base 12?\nAnswer: -b23525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2324 and 29456700?\nAnswer: 29456700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(2) + 1)*-2 - sqrt(72)*-1)**2.\nAnswer: -16*sqrt(2) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -126 = 5*y - 3*d, -110*y = 121*y - 236*y - 5*d - 110 for y.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 397 + -395. What is the derivative of 34*h - h**3 - 131 - 286*h**l + 286*h**2 wrt h?\nAnswer: -3*h**2 + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 353 minutes after 2:10 PM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 73 (base 9) in base 7?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 35794356?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 8129 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = z**2. Let v(s) = 212 - 420 - 6*s**2 + 212 + 4*s. Let u be (3\/(-6))\/(1\/2). Let q(y) = -y**2 + y + 1. Let i(k) = u*v(k) + 4*q(k). Determine j(i(r)).\nAnswer: 4*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q - 44 = -0*q. Let b(p) = p**2 - p - 4. Let j(x) = 6*x**2 - 4*x - 21. Let s(i) = q*b(i) + 2*j(i). What is s(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) be the second derivative of 13*t**3\/6 + 34*t. Let n(p) = p - 9. Let j be n(11). Let z(s) = -s**2 + 6*s**j - 5*s**2 + 2*s**2. Determine c(z(k)).\nAnswer: 26*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-12)\/8)\/(3\/(-16)). Let k(i) = -8*i**2 - 10*i**3 + 1 + 3 + 5*i**3 + 6*i**3. Let o be k(a). Sort -1, o, 5 in increasing order.\nAnswer: -1, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 38\/511 - 184\/511. Sort i, -5, -43, 3\/4, 1 in decreasing order.\nAnswer: 1, 3\/4, i, -5, -43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 10\/4*5276\/6595. Factor -2\/5*b**r - 8\/5*b**3 - 12\/5 + 22\/5*b.\nAnswer: -2*(b - 1)*(b + 2)*(4*b - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6355*n + 812*n - 8 + 8.\nAnswer: 7167*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express -k + 23 - 132 + 53 + 2 - 2 + 3*k + k - 2 + 2 + (-k + 3*k - k)*(4 + 1 - 2) as c + s*k and give c.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert b635 (base 14) to base 6.\nAnswer: 401223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 692 minutes before 6:58 AM?\nAnswer: 7:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -137*w**2 + 43*w**2 + 45*w**2 + 47*w**2.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 24*39\nAnswer: 936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r + 322 = 2*u, -5*r + 122 = -u - 270. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -570 divided by -5\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 162483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = t + 4. Let d be s(-4). Let c(v) = -v + 1. Let x(p) = p - 1. Let m = 11 - 15. Let o(y) = m*x(y) - 5*c(y). Give o(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 4.179 to one dp.\nAnswer: 4.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*g = -2*g + 3047. Calculate the remainder when g is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 divided by -3?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 590*y - 334 - 8099 - 5835 = 1779*y for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Add together 564865635 and -0.3.\nAnswer: 564865634.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d + 15 = 4*d. Let u be (-51)\/(-9) - 62\/93. Solve -u*w = a - 0*a + 24, -5*a - d = 2*w for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1150\/40*26\/(-650)*20\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 161?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -18*l**2*r**2 + 11*l*r**2 + 697*r**2 wrt l?\nAnswer: -36*l*r**2 + 11*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -149 (base 15) in base 8?\nAnswer: -446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*f = 5*h - 51, 3*f + 187 - 151 = 3*h for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -19 - -23. Suppose -j*t - 2*b = -360, -t + 2*t - 90 = -b. Is 21 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(7) - ((0 + sqrt(7) + sqrt(7))**2 - sqrt(7)))*-4 - sqrt(7)) + -3*sqrt(28).\nAnswer: -15*sqrt(7) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (0\/2)\/(2 + 0). Let m(v) be the third derivative of -1\/60*v**4 + 0*v**3 + p*v - 1\/150*v**5 + 0 + v**2. What is b in m(b) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.098 and 0.3.\nAnswer: 0.0294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3974*p - 8009*p + 3612*p.\nAnswer: -423*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 119*l = a + 124*l - 5, -2*a + 3*l = 16 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 13) to base 16\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 12.22847 millennia?\nAnswer: 1222.847","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -23 - -47\/2. Factor c**2 + 0*c - 1\/6 - 4\/3*c**3 + o*c**4.\nAnswer: (c - 1)**3*(3*c + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 92 + -266. Let o be (m\/(-15))\/(-1 - 12\/(-15)). Let k = o - -70. What is the remainder when 30 is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2.5 + -13. Let s = k - 104.5. Which is the biggest value?  (a) -2\/13  (b) s  (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -87, 3\/5, 5, 4, 3752 in descending order.\nAnswer: 3752, 5, 4, 3\/5, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 84\/((-792)\/90 - -9). What is the greatest common divisor of q and 4340?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 786224931 to the nearest integer?\nAnswer: 923","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 3*x - 9*x**2 - 1 + 12*x**2 + 2 - x**3. Let g(k) = 0*k**3 - k**3 - k**2 + 2*k**3 - k - 1. Let r(b) = -3*g(b) - j(b). Differentiate r(l) wrt l.\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q = -3*q - 3. Suppose -s = -5, 2*s = -w - 2*w + 25. Let c = q + w. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*p + 92 = 2*x, -3*p = 25*x - 21*x - 44 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 618 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 5720 divide 301983734?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 0.4 times 545130\nAnswer: 218052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 78846496.\nAnswer: 2, 181, 13613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Express -220 + 163*a**2 + 114 + 106 + (2*a + 3 - 3)*(a + 0 + 0) + 2*a**2 - 4*a**2 + 5*a**2 in the form x*a + f + w*a**2 and give w.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 66, -61, -382, -897?\n\"Answer: -97*g**2 + 164*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7525379.\nAnswer: 907, 8297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z + 3*m - 56 = -z, 3*m + 9 = 0. Let j(f) = -3*f + 27. Let a be j(z). Is (5\/(-2))\/(a\/456) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 260?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 96*j + 75918129 = 759729. What is j rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -44 + 707*p**2 - 11 + 54 + (p + 0*p - 2*p)*(-3 - p + 3).\nAnswer: 708*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 236 minutes before 6:06 PM?\nAnswer: 2:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 18*c**2*p*z - 68*c**2*p - 3*c**2*z - 2*c**2 + 2 wrt z?\nAnswer: 18*c**2*p - 3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.001281 rounded to 4 decimal places?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 6.124885 and 0.7?\nAnswer: 4.2874195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -9*g - 10. Let r(h) = 6*h + 7. Calculate 8*r(b) + 5*z(b).\nAnswer: 3*b + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -169, -1379, 4, 5 in increasing order.\nAnswer: -1379, -169, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 440 and 169180.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -81 divided by 130.\nAnswer: -81\/130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 47 - -11. Is 59 bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 724783 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 357 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 467 is divided by 95?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) be the first derivative of u**5\/10 + u**4\/3 + u**3\/3 - 7*u + 5. Let s(w) be the first derivative of b(w). Find d, given that s(d) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*i + 2*i + 0*i + (4 + 1 - 3)*(-1 + 3 - 5)*(-6*i + i + 3*i).\nAnswer: 10*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1163\/6 + 563\/3. Find the common denominator of v and 117\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2 - -8. Let a(t) = -t**3 - t**2 - 1. Let q(g) = 5*g**3 - g**2 - 6*g + 9. Let h(l) = 4*a(l) + q(l). Let v be h(i). Solve 0 = -v*m - 21 + 1 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 1684, 1683, 1680, 1675, 1668, 1659, 1648?\n\"Answer: -z**2 + 2*z + 1683","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*(x*x*x\/x**(-2\/7))\/x*x*x**(-5)*x)\/((x**(2\/17)*x)\/(x*x\/(x*x**(-2)*x*x)*x*x)) assuming x is positive.\nAnswer: x**(258\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*b - 4*g = 2*b - 15, 3*b = g - 12 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2.5 + -2. Let m = z - 1. Let w = 3.59 - -0.41. Put w, -2, m in ascending order.\nAnswer: -2, m, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 720 a factor of 84917428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 4 + (-30)\/8 - 4367997\/(-12). What is n rounded to the nearest 10000?\nAnswer: 360000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 h, 1 f, and 1 j when four letters picked without replacement from {j: 2, h: 2, f: 2}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = s - 6. Let k(t) = -2*t**2 + 7 + 8 - 10*t - 8 + 3*t**2. Let q be k(10). Let u be w(q). Which is the nearest to u?  (a) 4  (b) 0.1  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -5111*d*r**2 + 2*r**2 + 653*r with respect to d.\nAnswer: -5111*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2*(-1)\/(-1))\/(2\/(-4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 2. Let m(k) = 2*k - 2. Let i(l) = -2*m(l) - 2*r(l). Let u(d) = -35*d. Give i(u(x)).\nAnswer: 140*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) be the first derivative of 2\/3*y**3 + 0*y**5 - 1 + 0*y**2 + 0*y - 1\/2*y**6 + 0*y**4. Find the third derivative of a(u) wrt u.\nAnswer: -180*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44 = 95*p - 84*p. Let h(u) = u + 1. Let y(s) = 17*s + 4. Determine p*h(x) + y(x).\nAnswer: 13*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 7722 - 7722. Which is the second biggest value?  (a) k  (b) 4  (c) -60.3  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 3, l: 3}. What is prob of picking 1 b and 2 l?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 220\/33*(-162)\/72.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 25633585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000000716779833 to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3 - -21. Suppose 2*s = -g + 9, 4*g - u = -2*s - 0. Suppose -s*i + k = -23, 4*k = -3*i + k + 21. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1753193501 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -1136101*i + 8. Let h(a) = a. What is h(x(q))?\nAnswer: -1136101*q + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 51 is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 106 and 69745297?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*((sqrt(2057)*-1 + 3 + sqrt(2057)*1 + -3)*-3*-3)**2*5*3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = g**3 - g**2 - g + 3. Let k(d) = -2*d**3 + d**2 + d - 2. Let a(i) = 2*k(i) + 3*l(i). Does 5 divide a(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 62454157 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -118*w = 184 - 1128 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 258, 463, 668?\nAnswer: 873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00890060566 rounded to three dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*g**3 + 2*g - 2*g)*(-g - 6*g**2 + g**2 + 4*g**2).\nAnswer: 3*g**5 + 3*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (20 - 27) + 0 + 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 12701 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p + 3 - 21 = 4*k, 5*k + 21 = 3*p. Let b(d) = -d**2 + 9*d - 4. Let s be b(8). What is the common denominator of 97\/12 and -1 + (5\/s - k)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 21024245.\nAnswer: 5, 11, 509, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m = -2*m. Let q = 0 - 4. Let i be 1\/2*(-4 - q). Solve m = -n - i - 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -45968 + 46168. Calculate the greatest common factor of 3350 and q.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + -52 - (1194 - 1242)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1021 - 761 = 26*s for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Product of -103 and -10.\nAnswer: 1030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (9\/(-3) - -3) + 20. Suppose s = 29*c - 24*c. Solve 6 = -c*y + 7*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 30 and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -220, -440, -660, -880, -1100, -1320?\nAnswer: -1540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) be the first derivative of 9123*o**4\/4 - 2*o**3\/3 + 12*o**2 + o - 8920. Find the third derivative of t(d) wrt d.\nAnswer: 54738","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:34 PM and 10:20 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Determine f, given that -3*f**5 - 189*f**4 - 2877*f**3 + 9309*f**2 + 349452*f + 641580 = 0.\nAnswer: -37, -17, -2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 908.8 - 909.2. Which is the second biggest value?  (a) q  (b) -0.3  (c) -62\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 12\/20 - (-2)\/180*-74\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -8 - -84. Let l be h\/342 + ((-8)\/(-9))\/(-4). Solve a = 3*a - 4*z + 2, 5*a + 3*z + 5 = l for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7391 is divided by 141?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -134*c**3*u**3 - 1298*c**3*u**2 + 7*c**3*u + c**3 + 7*c**2*u - 21*c + 7*u wrt u?\nAnswer: -804*c**3*u - 2596*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 832, 1639, 2438, 3223, 3988, 4727, 5434, 6103?\n\"Answer: -z**3 + 2*z**2 + 808*z + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = c + 35. Let s be x(-28). Suppose 3*b = -5*m + 202, -2*m + s*m = 3*b + 208. Calculate the remainder when 112 is divided by m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 469a (base 14) to base 11\nAnswer: 9261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2023 (base 4) to base 12.\nAnswer: -b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -r**3 - 7*r**3 - 2*r - r**3 + 2 to the form c*r + h + x*r**2 + n*r**3 and give n.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -590 + 588.6. Which is the third biggest value?  (a) z  (b) -1\/3  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 63074\/5 and 12614 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.2747 + -1.2747. What is the nearest to z in 4.7, 1, 5, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from aooaa?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s + 2 = 20. Differentiate -2*y**4 + s + 3*y**4 - 5 wrt y.\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 60*p**2 - 35*p - 12. Let j(u) = 119*u**2 - 69*u - 22. Let h(b) = 11*c(b) - 6*j(b). What is the second derivative of h(k) wrt k?\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-5)\/(-10)*-8*(2\/(-1))\/((-36)\/342)\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1.4?  (a) 0.1  (b) 855\/127  (c) 2\/15  (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k - 3 = 9. What is the first derivative of 0*a**3 - 2 + 7*a**3 - a**k - 3*a**3 wrt a?\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3\/4*b**2 + 0 + 15\/4*b = 0. What is b?\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 314 a factor of 293003710?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -0.04 times -0.07742\nAnswer: 0.0030968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -t**2 - 14 + 22 + t**2 + 7*t - t**2. What is the remainder when 55 is divided by w(6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -2*k**2 + 3*k - 1. Let i(y) = 5*y**2 - 7*y + 2. What is 9*b(q) + 4*i(q)?\nAnswer: 2*q**2 - q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -5 + 124c821?\nAnswer: 124c81a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -75*k = -13*k + 124 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/2, -2\/11, 151.1 in ascending order.\nAnswer: -1\/2, -2\/11, 151.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*j + 394 = -9*j + q, 2*j + 5*q - 199 = 0. Calculate the greatest common factor of j and 959.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3.9 + 0.1. Let m = -9 + p. Let v = m + 4.8. Which is the nearest to 1\/3?  (a) 0.1  (b) 1  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 2825527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nhme when four letters picked without replacement from eeemlheehnhr?\nAnswer: 1\/792","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -177, -84, 9, 102?\n\"Answer: 93*v - 270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -n - 3. Let c be z(-6). Suppose -5*k + 11 = -k - 3*f, 4*k = -c*f + 29. Solve -k*y + y = 8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 135 and 110?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 20\/(-8)*-2*361. Suppose -49*o = -68*o + n. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -10*v**2 - 2*v - 2. Suppose -10*j + 102 = 7*j. Let l(u) = -j*u + 0*u - 41*u**2 - 3*u - 10 + 1. Calculate -2*l(x) + 9*w(x).\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -85*i**2 + 12*i - 7*i - 11*i + 6*i.\nAnswer: -85*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 572 minutes before 5:50 AM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 98560883?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 6\/8*5*-40. Let j = -101 - z. Let s(g) = -g**3 - 7*g**2 - 2*g - 4. What is the remainder when j is divided by s(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 3 + 0)*(3*p**4 + 0*p**4 - 2*p**4 + 0*p + 0*p - p**2 - p**4 + (3*p**2 - 4*p**2 + 4*p**2)*(p**2 - p**2 - 2*p**2)).\nAnswer: 18*p**4 + 3*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.50157  (b) -0.1  (c) -11  (d) 7\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) be the third derivative of y**4\/24 - 5*y**3\/3 + 2*y**2. Let p be n(0). Let d = p + 23. What is d rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in fifteen quarters of a gram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1559217.954 rounded to the nearest ten thousand?\nAnswer: 1560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3\/((-11)\/(88\/(-168))).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7058.94 rounded to the nearest 100?\nAnswer: -7100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -13  (b) 0.1  (c) 956\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 53601384, 53601396, 53601408, 53601420, 53601432, 53601444?\nAnswer: 53601456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 40181?\nAnswer: 23, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -j**2 - 9*j - 14. Calculate h(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -100100000010101 + 100010111011?\nAnswer: -11111101011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -65239461 + 104517355. Suppose f + 87704236 = -5*y. Let s = 16896426 + y. What is s rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 51*b - 6*b + 990 = 0 for b.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 139538?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 4, 31, 106, 253, 496, 859?\n\"Answer: 4*f**3 - f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -21923.1 to the nearest one thousand.\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1 - 3158*v**2 - 4464*v**2 + 2770*v**2 + 1522*v + 1045*v - 8716*v**2 wrt v.\nAnswer: -27136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3353204019 to the power of 1\/3, to the nearest integer?\nAnswer: 1497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kkkkkkk. What is prob of picking 3 k?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h - 2*h + 1724 = n, h = 2*n + 570. Let f be 186*(5 - 54\/12). Let z = f + h. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -3*n + n - 36 + 0*n - 11*n. Calculate the common denominator of -79\/44 and c(-5).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + 6 = 3*q - 6*q, 4*a = 2*q + 12. Suppose 0 - 4 = -l. Suppose y = l*y - 6. Solve y*k = a*k + 8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -f + 10*f - 36 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 45312190.\nAnswer: 2, 5, 7, 11, 83, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = 5*q + 55. Let x = -411 - -399. Determine o(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 107 + -105. Let o(t) = -t**3 + 2*t**2 + t - 2. Determine o(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45*c**5 + 786230*c**4 + 9615135*c**3 + 18619800*c**2 + 11539340*c + 1748400 = 0. Calculate c.\nAnswer: -10, -1, -2\/9, 17484","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1321383 is divided by 3263.\nAnswer: 3131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-178)\/(-267)*(-10)\/4.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -67 - 122 = -3*x. Let c be -3*(3 - 2) - x. Round c to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2899 a factor of 1784775148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 381 - 1521\/4. What is the fourth biggest value in -12, 5, 2\/7, k?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*i = -5*y - 140, -4*i = 3*y - 208 - 20 + 109 for i.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 13 and 3497?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 460 a factor of 976580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -l + 3. Let b be r(4). Suppose 3*t = 4*n + 53, -4*t + 5*n = -t - 52. Let h = t + b. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-8 + -1)*(-2)\/(-2). Let n be -2 + 60*(-6)\/q. Suppose 0 = 4*f - n - 82. Is 10 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 60588 and 108?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 3, s: 4, t: 5}. Give prob of picking 2 s.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -2*v + 5. Let p be k(-5). Suppose 0 = -0*t + 2*t - 20. Let w be 1194\/t - 6\/p. What is the greatest common factor of 17 and w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 84\/4 - 3\/(-1). Suppose z - f = -5*v, z - 3*z + v - 7 = 0. Which is the nearest to 3\/2?  (a) 1  (b) z  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = 144*k**2. Let i(h) = -198*h**2. Give i(q(t)).\nAnswer: -4105728*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(1080) - sqrt(3000)*-1)\/(sqrt(810) - sqrt(810)*3 - -3*sqrt(1000)).\nAnswer: sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-7*v**2 + 1 + 2*v + 7*v**2 + 2*v**3)*(1733 - 1165 + 1825)*(-6 + 4 + 1) to a*v**2 + s*v**3 + g*v + m and give g.\nAnswer: -4786","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 102222131 (base 5) to base 12\nAnswer: 188796","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 1, k: 1, i: 1, a: 1, j: 1}. Give prob of sequence kaj.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-57698)\/18667*11\/(-2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i - 2*i = 5*u + 32, -80 = -5*i - 5*u. Is 7 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 302209?\nAnswer: 17, 29, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - 1 + 5 = 0. Let c be 1 + k + 10*1. Let g(z) = -3*z**3 - z**2 - 3*z. Let t be g(-3). What is the highest common divisor of t and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -12*a + 112 - 40. Calculate the remainder when 13 is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 664 minutes before 7:40 PM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-728)\/572*(-18)\/126.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*l = 9*l - 9. Find the third derivative of -2*j**6 - 5*j**2 + j**2 - 2*j**6 + l*j**6 wrt j.\nAnswer: -120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-8)\/(-12) + (-19)\/15\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-6)\/(-4))\/(-3) + 3\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 5509\/4751 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 46390?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = d**3 + 3*d**2 + 1. Let f be i(-3). Let q(u) = -1 - 4 - 3*u - 265*u**2 + 314*u**2 + f. Is 12 a factor of q(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) be the first derivative of -c**5\/30 - c**4\/18 + 3*c + 1. Let j(z) be the first derivative of a(z). Factor j(h).\nAnswer: -2*h**2*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -5.3 - -5.346. Let u = -17.046 + v. Let s = -17.1 - u. What is the second biggest value in 0, -4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (19 - 16 - (0 - 0)) + 4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 732, 2020, 5520, 12336, 23572, 40332, 63720, 94840?\nAnswer: 134796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 238 + -217. Let y be (-2)\/(-11) - 293929\/(-737). Calculate the greatest common divisor of y and s.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3543 divided by 184\nAnswer: -3543\/184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 72095471?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t + 5*h - 1233 = -7*t, -2*h = -5*t + 3010. Solve 101*k + 204 = -t for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -221 + 278. Let g = a + -59. Which is greater: -22 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 2, t: 4, n: 3, y: 1}. What is prob of picking 2 b and 1 t?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 77245512 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = g**2. Let j(u) = 2*u - 11. Let o(x) = -x + 4. Let n(a) = 4*j(a) + 11*o(a). Give n(z(t)).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = -m + 15, v - 42 = -5*m + 2*v. Let t = m + -4. Which is the closest to -1\/3?  (a) -2\/5  (b) -1\/2  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*g + 3 = 14*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Product of 460 and 45.\nAnswer: 20700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 1\/((3\/12)\/(2 + -42)). Let m = 259 + c. Suppose -6*j = -699 + m. What is the tens digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.028308 rounded to 3 dps?\nAnswer: -1.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 126 minutes after 1:26 AM?\nAnswer: 3:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qnnotqotgngqtnoq. Give prob of picking 1 o and 3 t.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*p + 1995 - 1995.\nAnswer: 14*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:26 PM and 8:10 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8 + 4 + 4 - 6*a**3.\nAnswer: -6*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2 or 56\/19?\nAnswer: 56\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((0\/12)\/(4\/(-2)))\/(-2). Suppose u*o + o - 2 = 0. Which is the smallest value?  (a) o  (b) -1\/6  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y + 4*a - 8*a - 3279984 = 0, -a + 820004 = y. Round y to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 235586?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -2\/7 and ((-2)\/(-8))\/(52\/8)*-98.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kkosttz. Give prob of picking 1 s and 1 t.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put 37, 17, 14 in descending order.\nAnswer: 37, 17, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -47 + 94 + 60*s**2 - 47 - 2*s to n*s**2 + d + b*s and give n.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Determine v, given that 155*v**5 + 11155*v**4 - 220635*v**3 + 1244345*v**2 - 2699120*v + 2002500 = 0.\nAnswer: -89, 2, 125\/31, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.3 in -29.56, 1, 22.257?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + (sqrt(720) + -1 - sqrt(720)))**2 + ((sqrt(500) + -1 + sqrt(500))**2 - sqrt(500)) + -1 + (1 + (1 + sqrt(45) - (sqrt(30)\/sqrt(3))\/sqrt(2)))**2.\nAnswer: -42*sqrt(5) + 2040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-104 - 4*c + 104)*(-2*c**3 + c**3 - c**3 + 2*c**3 + 3 - 3 + (-4*c + 3*c - c)*(-c**2 + 2*c**2 - 2*c**2) + 0*c**2 + c**3 + 0*c**2).\nAnswer: -12*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00013036 rounded to six dps?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/(r**(2\/33)\/r))**44\/(r**(-15)\/(r**(16\/3)*r)) assuming r is positive.\nAnswer: r**(320\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = -6 - 5. Let d be (22\/5)\/(1\/10). What is the greatest common divisor of d and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3.777 + -0.023. Which is smaller: t or -2\/7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 871 is divided by 33.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10222000022102201 + 2?\nAnswer: 10222000022102210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -5310 + 5312. Solve 4*y - 4*j = 0, -y + 5*y - 18 = -p*j for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16207 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 559, 560, 561?\nAnswer: 562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -0.11  (b) -90  (c) 2  (d) -26491\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/4?  (a) -0.12  (b) 1\/4  (c) -2  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 11881, 24095, 36309, 48523?\nAnswer: 60737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18883 is divided by 119.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 108033, 108034, 108035, 108036, 108037, 108038?\nAnswer: 108039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5561.\nAnswer: 67, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + -4 + ((sqrt(252) - (-1*sqrt(252) + 5)) + -3*sqrt(252) + 4)**2.\nAnswer: 12*sqrt(7) + 245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) be the second derivative of -v**6\/30 + v**5\/4 - v**4\/6 - 10*v**3\/3 + 12*v**2 + 2*v - 53. Factor l(t).\nAnswer: -(t - 3)*(t - 2)**2*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 500.0071 - 0.0071. Let v = d + -499.8. What is the nearest to 2\/13 in 5, 1, v, -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = 116*u - 6. Is 10 a factor of i(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 60740 and 65.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 30478, 121903, 274272, 487585, 761842?\nAnswer: 1097043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 27.61024 days to weeks.\nAnswer: 3.94432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tkkke. What is prob of sequence et?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -29931494 and -0.4.\nAnswer: 11972597.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w + 6 = -6*w. Is w <= 1\/51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = d**3 - 13*d**2 + 4*d - 16. Let r = -58 - -71. Let v be j(r). Calculate the highest common divisor of 4 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13265960527 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = w**3 + 19*w**2 + 18*w - 48. List the prime factors of g(-17).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.2, 3570, 5\/2?\nAnswer: 3570","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3 + 3 + 5*m**3 + 3*m**3 - 2*m**3 + 2*m**3 + (-3 - 2 + 2)*(2*m**3 + 2*m - 2*m) + 2*m**3 - 2*m**3 + 12*m**3 to u*m**3 + r*m + k + t*m**2 and give u.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) be the first derivative of -m**2 + 1. Let n = -13 - -10. Let f(k) = -2*k. Let z(x) = n*f(x) + 4*d(x). Let h(r) = r. Calculate h(z(b)).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -22.6 - 27. Let u = t - -55. Let y = -5.3999908 + u. Round y to 6 decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 6\/13  (b) 5384  (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = k**3 - 5*k**2 - 3*k + 7. Let a be 2 + (-2 - -5) + 0. Determine b(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2.2 + -21.\nAnswer: -18.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3135 - -3134.5. Put 2\/9, i, -2, 0.5 in decreasing order.\nAnswer: 0.5, 2\/9, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -25 (base 7) to base 14\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*f - 78 - 42. Let g be (((-15)\/(-6))\/(-5))\/(3\/f). Solve 3*r + g*u - 11 = 0, 0 = -7*r + 2*r - 3*u for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4033227887 - -2108.5?\nAnswer: 4033229995.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 3 - 3)*(-1 + 4 - 1)*(-295 - 46*l + 295)*(-5 - 2 + 5)*(2*l - l + 0*l).\nAnswer: -184*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1, -80294, 0.01, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -3*w**2 - 22*w + 7. Determine d(-7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is s in 12*s**4 + 176*s**3 - 456*s**2 + 336*s - 68 = 0?\nAnswer: -17, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 57 in -3\/7, 5, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 136 and 51576.\nAnswer: 876792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*o**2 + 0*o**2 + 4*o**2)*(-3*o**2 + 4*o**2 - 3*o**2)*(4*o + 4 - 4).\nAnswer: -16*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*b + 2*b - 4*b + (0 + 0 - 5)*(1 - 1 + 4*b))*(31*b - 194 + 194) in the form y + n*b**2 + s*b and give n.\nAnswer: -558","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/5, -1, 4\/5, -6.32, -0.5.\nAnswer: -6.32, -1, -0.5, -2\/5, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -82859\/12 + 6911. Find the common denominator of x and 47\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = 4*o**3 + 14*o**2 - 18*o + 20. Let l(a) = 3*a**3 + 9*a**2 - 12*a + 14. Suppose 3*j + 1 + 20 = 0. Let n(t) = j*l(t) + 5*z(t). What is n(5)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*o + 18*b - 17*b = -24, 2*o + 3*b = -7 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*t - 5*g + 21 = 13*t, 16 = 3*t + 4*g for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find h, given that -h**4\/5 - 13*h**3\/5 - 48*h**2\/5 - 36*h\/5 = 0.\nAnswer: -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = i**2 - 211. Let f be h(16). Suppose -f*n + 55*n = 0. Suppose 2\/19*m**5 + 0*m**2 + 0*m + n + 2\/19*m**3 - 4\/19*m**4 = 0. What is m?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -55475 + -3?\nAnswer: -55500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j + 5*h + 10 = -2*j, 3*h + 2 = -5*j. Let f be (-3)\/10 - j\/(-4). Let o = f + 1\/5. Sort 2, o, -2\/11.\nAnswer: -2\/11, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from hfhhhhhf.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 198 divide 5264140860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -p**3 + p**2 - 3*p - 3. Give o(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c = -109 + 89. Calculate the remainder when 38 is divided by c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 43 divide 71*14 + (-7 - (0 + -2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -182*m**2 - 1469*m - 24. Give a(-8).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(((sqrt(891) + 3 + 0 + sqrt(891))*-2)**2 + -5)*-5*4.\nAnswer: -1428700 - 43200*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1292*r**3 + 6*r - 23878 with respect to r.\nAnswer: 3876*r**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = 2*u**2. Let i(z) = 20*z**2 - 3*z - 1. Let j be i(-1). Let g(p) = -42*p + j*p + 19*p. What is a(g(q))?\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2742*s = 2754*s - 22800. Does 3 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 162899, 651603, 1466109, 2606417, 4072527, 5864439, 7982153?\n\"Answer: 162901*p**2 + p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k and 2 b when three letters picked without replacement from bbkkkkbbbb.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 11 + 303331442?\nAnswer: 303332003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10 - 18 + 27)*(0*y + 3*y - y).\nAnswer: 38*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 3569 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -40254 to the nearest 1000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-49)\/28)\/(-7))\/((-10)\/(-16))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.37?  (a) 3\/7  (b) 4  (c) -7\/4  (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (25\/((-9600)\/9184))\/((-11)\/(-6)*-2). Let g be (-78)\/(-44) - (-1)\/(-2). Let s = c - g. What is the common denominator of -31\/18 and s?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -3 + (5 + -2)*3. Let m = g - 20. Let b be (m\/(-4) - 2)*-2. Sort 0, 1, b in descending order.\nAnswer: 1, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 366, 428, 494, 564, 638, 716, 798?\n\"Answer: 2*a**2 + 56*a + 308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1 - 1959*n - n**3 + 4*n**3 - 10*n**3 - 49*n**2 + 33*n**2 - 5*n**3 wrt n?\nAnswer: -72*n - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 34262406 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = m**2 - m - 1. Let o(r) = 2*r**2 - 2*r - 2. Let p(j) = 2*j**2 - 13*j - 2. Let h be p(7). Calculate h*u(t) - 3*o(t).\nAnswer: -t**2 + t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (181 - 1)*9\/81*6. Suppose 4*y - 2*d = o, -4*y - d - 77 = -191. What is the remainder when y is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(6) + (sqrt(72) + sqrt(72)*1)\/sqrt(12) + sqrt(6) + sqrt(6))\/(sqrt(3) + sqrt(108)*-2).\nAnswer: -5*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n and 1 q when two letters picked without replacement from qnqnqqqqsqqqsqqssqs?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 5, -83\/22, -0.1, -55?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14 divided by 1.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide -24 by 4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/2 of a milligram in micrograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -46 = -5*f - 2*a, -138*f = -135*f + 3*a - 15. Solve 7*k = f*k - j - 30, 3*j + 20 = k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1.8 + 1.2. Let q = -0.7 - g. Is q at least 0.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-56)\/(-70)*1*20\/(-8). Let c be 4\/14 + (-458)\/(-14). Put j, 2, c in descending order.\nAnswer: c, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*f*f**(-26))**(-22) assuming f is positive.\nAnswer: f**528","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -5\/9 - 1\/9. Which is the smallest value?  (a) -1\/8  (b) 5  (c) 4  (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wm when two letters picked without replacement from {t: 8, m: 1, w: 6, r: 1}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 957986895.\nAnswer: 3, 5, 43, 1485251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -36 + 70 - 2*z**2 - 9 - 2*z**2 - 25.\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1 and 149483193?\nAnswer: 149483193","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 0 - (2\/4 + 126\/(-36)). Sort b, 4, -97 in ascending order.\nAnswer: -97, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (4 - 0) + (-72)\/20. Is m > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1619*r - 3228*r + 14*r**3 + 1609*r.\nAnswer: 14*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -3*b**3 + b**2 + 3*b + 3. Let m be -2 + 1 + 0 - (-25 - -20). Suppose -5*s + q = 5, m*s + q = 6*q + 17. What is v(s)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 34\/34 - (0 + 3). Calculate the lowest common multiple of 1003\/102 - u\/12 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -177.99879 - -178. What is y rounded to four dps?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -7*l - 1. Let a be v(-2). Let t be (-2 + 5)*(a + -1). Let n be 2\/(((-464)\/(-18))\/8 - 3). Calculate the highest common divisor of t and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12890 divided by -5?\nAnswer: -2578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -11 + ((-42)\/(-216) - -11). Are j and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -17?  (a) 4\/7  (b) -3543  (c) -0.191\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.87 + 0.77. Suppose -p = -3*z, z = 2*z + p. What is the nearest to z in w, 0.3, -1\/6?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*c + 592 = 17*c. Let w = 29 - c. Let u = w - -188. List the prime factors of u.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-1*sqrt(891) + -3 - -2*sqrt(891)*-2) + 4 + 2 + 3 + sqrt(891) + sqrt(891) + -3)*-2)**2.\nAnswer: -648*sqrt(11) + 32112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) be the second derivative of 2*g**7\/21 - 11*g**4\/12 + 7*g. What is the third derivative of f(s) wrt s?\nAnswer: 240*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -0.3, -4, -1\/16245?\nAnswer: -1\/16245","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1659)\/(-4424))\/(21\/(-16))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Determine c, given that 3*c**3\/2 - 147*c**2\/2 + 285*c\/2 - 141\/2 = 0.\nAnswer: 1, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 2 + 0)*(-19*n + 66*n + 23*n).\nAnswer: 70*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -751*j + 38414. Calculate m(52).\nAnswer: -638","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-5*v - 5*v + v)*(v + 4*v - 2*v)*(-4*v + 5*v - 3*v) to the form s*v**3 + u*v + c*v**2 + k and give s.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -21*x**3 + 6*x**2 + 9*x + 3. What is the remainder when 270 is divided by f(-1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*b**3 + 10*b**2.\nAnswer: 5*b**2*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 646 minutes before 1:29 PM?\nAnswer: 2:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 165729424?\nAnswer: 2, 7, 1479727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 22 + -17. Suppose -10 = -n*d - 0*d. Solve d*y = y - 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2532755891.\nAnswer: 53, 101, 473147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 55965 and 254135?\nAnswer: 406361865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -13478, -6332, 814, 7960, 15106, 22252?\n\"Answer: 7146*c - 20624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = p**3 - 10*p**2 + 20*p + 13. Let u be o(7). Let d be -3 + 5 - (1 + 11). Let z be (u\/d)\/(18\/(-270)). Solve z = -2*i - a + 3, 4*i = 4*a for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -154\/531 - -4\/59. Suppose -7 = f - 3*b, -7*f + 4*b = -2*f + 2. Suppose 4*c + 5*j + f = 22, -2*c - 5*j + 10 = 0. What is the closest to u in 4, -0.2, c?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 60, 113, 172, 237, 308, 385, 468?\n\"Answer: 3*p**2 + 44*p + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**3*n)**(-14)*(n**(-7)\/n)\/n*n*n**0\/n assuming n is positive.\nAnswer: n**(-65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:06 PM and 4:20 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z = q + 137 - 138, 3*z + 9 = 0. Let t(k) = k + 1. Let l(i) = -i. What is q*t(f) - 3*l(f)?\nAnswer: f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-28)\/((-224)\/54)*(-12)\/(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) be the second derivative of d + 5 + 9\/100*d**5 - 23\/60*d**4 - 1\/150*d**6 + 18\/5*d**2 + 1\/10*d**3. Find k, given that a(k) = 0.\nAnswer: -1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 6098171890 and -30.9.\nAnswer: 6098171859.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 2*v + 1. Let d(a) = -12*a + 44. Let n(j) = d(j) + 2*o(j). Let x be n(6). What is the third biggest value in -3, -0.09, x?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1288 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 4, -107246, 0, -22.\nAnswer: -107246, -22, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1944046?\nAnswer: 2, 13, 74771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1 + (4 - -3) - 3. Suppose -o*j - 12 = -5*a + 8, a - 9 = -4*j. Let p(i) = i**2 - 4*i - 1. Determine p(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jzus when four letters picked without replacement from zuununznnzejsu.\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-492*o - 513*o + 330*o)*(2*o**3 - 3*o**3 - o**3).\nAnswer: 1350*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -36.08 + 30.28. What is the nearest to 1 in 0, j, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -f**3 - 5*f**2 + 7*f + 6. Let x be n(-6). Let v(d) = -d - 2. Let i be v(-2). Suppose -3*l + 0*l + 3 = i. Solve x = -h + l + 1 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = o - 1. Let q be s(2). Suppose -5*d + 6 = -14. Sort d, q, -2.\nAnswer: -2, q, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6 divided by -1614\nAnswer: 1\/269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 233123 (base 4) to base 12.\nAnswer: 190b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 - -4 - (2 + -3 + 6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3081897, 6163725, 9245551, 12327369, 15409173?\nAnswer: 18490957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -14 - -15. Let c = o + -21. Let n = c - -19.99999981. Round n to seven dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1011011101000001 - -10011111001?\nAnswer: 1011110000111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -18318962, -18318960, -18318948, -18318920, -18318870, -18318792, -18318680, -18318528?\n\"Answer: q**3 - q**2 - 2*q - 18318960","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wq when two letters picked without replacement from {q: 3, w: 9, j: 4}?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 192*d**5 - 677*d**2.\nAnswer: 11520*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-64)\/56*(-8)\/(-16). What is the nearest to 1 in n, -12, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 269370?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jjahvffffhiafjfjvava. Give prob of picking 1 h, 1 a, and 1 v.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put together 3023 and 2.\nAnswer: 3025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -1528, -3459, -5794, -8533, -11676, -15223?\n\"Answer: -202*y**2 - 1325*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1043\/200 + -21\/25. Calculate the common denominator of (-1050)\/(-252) + (-4)\/6 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1, -2, 169703?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 7\/(3\/18*1). Let a = x - 21. Suppose -6 - 5 = -b - 3*h, 3*b = -5*h + a. Calculate the highest common divisor of 2 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 5644723854 to the nearest integer?\nAnswer: 1781","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 246146250?\nAnswer: 2, 3, 5, 7, 9377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1130313312 (base 4) to base 16.\nAnswer: 5cdf6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 1369*8\nAnswer: 10952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -505 (base 7) in base 9?\nAnswer: -307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -11*t**3 - t**2 + 1. Let w be b(1). Let q = -3 - w. Let z(i) = -i + 10. Calculate the least common multiple of q and z(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -z - 8. Let i be q(-11). Suppose -3*m + 3 = -i. Is m a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) be the first derivative of 11*g - 46 - g**2 + 178\/3*g**3. What is the second derivative of j(z) wrt z?\nAnswer: 356","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*w - 4*w - 8. Suppose 0 = -w*d - 15 + 63. Let p = d + -2. Does 7 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 51\/(-2)*7*(-20)\/210. Suppose -2*y = y + m - 52, -m = -y + 16. Let h = y - a. Solve h = -10*w + 5*w - 5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/3 in -17, 96, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/3?  (a) 3  (b) -7\/3  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -234*o - 278*o - 9638 = -390*o for o.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 38 + 2*x - 55 + 133 - 2*x**2 + 4*x**2 to the form d*x**2 + k + y*x and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3509 = -579*u + 260*u. Let c be 4\/18 - (-4)\/63. Which is greater: c or u?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + -2 + (12 - (26 - 14))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8 + 1 + 3 - -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*r**2\/5 + 7561608*r\/5 - 22684806\/5.\nAnswer: -2*(r - 3780801)*(r - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1069 + -2071\/2. Find the common denominator of 17\/1566 and n.\nAnswer: 1566","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-288)\/20*10\/(-3). Let t = 93 - q. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -135 - -219. What is the greatest common divisor of z and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4619.92 weeks to microseconds.\nAnswer: 2794127616000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k - 137*h = -136*h + 31, -k - h - 7 = 0. Let z(t) = 3*t**3 + 15*t**2 + 15. Let w(q) = -q**2 - 1. Determine k*z(r) - 90*w(r).\nAnswer: -18*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*r + 14*r = 56. Let l = 79 + -47. Suppose -2*o + 8 = -l. What is the least common multiple of r and o?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*m + 20 = 22*p - 27*p, 0 = 2*m for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of m**3 - 266465*m**2 + 652*m - 212157676 wrt m?\nAnswer: 3*m**2 - 532930*m + 652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 16 and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g**2 - 54*g - 264 = 0. What is g?\nAnswer: -4, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -b**3 - 6*b**2 + 6*b + 19. List the prime factors of n(-7).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 1, l: 1, g: 1, c: 1, r: 1, d: 2}. What is prob of sequence cl?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + p + 12 = 0. Solve 6 = 3*c - p for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -50 + 26. Let o = -53 - f. Let i = 66 + o. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 132 - 77. Let r be ((-4)\/6)\/(1\/48). Let b = y + r. Is 12 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 253\/65016 + 2\/2709. Does 1 = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 369110 is divided by 172.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 6, j: 2}. Give prob of picking 4 a.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 60a (base 12) to base 5\nAnswer: 11444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(135)\/((sqrt(18) + sqrt(1800))\/sqrt(6)) + 2*sqrt(135)\/(sqrt(3)*1).\nAnswer: 69*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:57 PM and 4:25 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2107*b**6 - 4*b**3 + 63*b**2 - 37*b.\nAnswer: -252840*b**3 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-4)\/(-10) - (-36)\/(-65). Let b be (-4)\/(-14)*(-2 + 1). Let l = 2\/1273 + -1283\/6365. What is the third smallest value in b, t, l?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = x. Let h be f(-6). Let i = h + 10. Calculate the highest common factor of 16 and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-56 + 23*w + 56)*(41*w + 1161 - 1161) to x*w**2 + t + d*w and give x.\nAnswer: 943","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-38)\/10 + 2\/(-10). Let u be (-30)\/(-8) + (-1)\/j. Suppose 3*f - u*f = -8. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -68, -72, -78, -86, -96?\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -42 + 1894*o + 9 + 35.\nAnswer: 1894*o + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (7 + 5 - 77) + 7?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1945, 1969, 2019, 2107, 2245?\nAnswer: 2445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) be the first derivative of -k**2\/2 - k + 33. Let i(v) = -2*v**3 - 2*v + 2. What is i(h) - 2*w(h)?\nAnswer: -2*h**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = x**3 - 6*x**2 + 3*x + 5. Let j be o(5). Let i(r) = -r**2 - 8*r - 5. Let y be i(-5). Let f be (4\/(-3))\/(y\/(-15)). Sort f, -4, j.\nAnswer: j, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 9275994 and 1820?\nAnswer: 92759940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12 = 2*v + j + 6, 4*j = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1979*m - 12022*m = -271161 for m.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g = -m + 1, 5*g = -0*m + 4*m - 4. Suppose c - 4*k - 23 = 0, 0*k + 5*k = -c + 23. Suppose -c = -4*f + 37. Solve g = -2*w - 5 + f for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1872, 1184, 496?\nAnswer: -192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 71\/162 and -67\/57396?\nAnswer: 1549692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) be the second derivative of -16\/33*t**3 + 1\/66*t**4 - 7*t + 0 + 64\/11*t**2. Factor g(c).\nAnswer: 2*(c - 8)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:38 AM and 9:00 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -4 + 7. Differentiate 2*v**3 + 0*v**3 - v**a - 2 + 0 wrt v.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -19*f + 3. Suppose 0 = 266*b - 271*b - 15. Does 4 divide h(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -3*v**2 + v - 1. Calculate j(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = 125*f - 477. Suppose -k - 20 = -5*k, 2*i + 2*k - 38 = 0. Calculate the remainder when t(4) is divided by (-2 + 4)*i\/4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-30)\/(-14)*(-7280)\/(-1300)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -68*w**3 - 3*w**2 + 3. Is a(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*h = 3*z + 144 - 150, -2*h = -5*z - 6 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-15)\/6*55\/(-50)*8\/9?\nAnswer: 22\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 64464737 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 23\/92 - 511\/(-4). Let k = v + 48. List the prime factors of k.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*o + 4*j = 23, -268*o + 5*j = -263*o - 5 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(11) + sqrt(1100) + 0 + (sqrt(110)\/sqrt(40))**2 + 0.\nAnswer: 11\/4 + 11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o and 3 m when four letters picked without replacement from omidimoioddm?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*l - u + 3*u + 18, -4*l + 20 = -3*u. Suppose 5*z = 5*v + 2*z - 13, -5*v - l*z + 8 = 0. Let m be ((-2)\/(-3))\/((-2)\/(-3)). Solve 1 + m = v*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 425834530?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 + 1 - 3)*(a**2 - 4*a**2 + a**2) + 32*a + 2*a**2 - 13 - 10*a - 20*a as t*a**2 + d*a + l and give l.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 329548*d**3 - 2*d**2 - 2*d + 9685?\nAnswer: 1977288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4 + 4*i - 4)*(-55 + 28 - 62) to the form l + w*i and give w.\nAnswer: -356","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = 35*n**3 + 7*n**2 + 7*n + 33. Let p(f) = -12*f**3 - 2*f**2 - 2*f - 11. Let s(o) = -7*p(o) - 2*z(o). What is the first derivative of s(l) wrt l?\nAnswer: 42*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-9)\/(-12) + -1)\/((-1)\/5). Put 2, -4, w, -0.3 in decreasing order.\nAnswer: 2, w, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m + 5385 = -5015. What are the prime factors of m?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -5 + -121?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide -171710 by -17171.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*i**2 - 4*i**2 - 4*i**2 + (-505*i - 611*i - 53*i - 48*i)*(-2*i - 3 + 3) to the form k + q*i**2 + l*i and give q.\nAnswer: 2429","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -49.977477 to 0 dps.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -4330 - -4329. Sort r, 3, 32 in descending order.\nAnswer: 32, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d\/((d*(d\/d**5)\/d)\/d))\/d*d*d*d**4*d*(d**(1\/2))**(-16)*(d**3\/d**(3\/7))**24 assuming d is positive.\nAnswer: d**(460\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -203\/14473 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 718754, 719069, 719384, 719699, 720014?\nAnswer: 720329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -50  (b) 2  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 99\/1022 and 31\/2?\nAnswer: 1022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -72468 divided by 108\nAnswer: -671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zj when two letters picked without replacement from {z: 3, u: 16, j: 1}.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor 44\/5*b**2 + 4\/5*b**3 + 112\/5 + 128\/5*b.\nAnswer: 4*(b + 2)**2*(b + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -225941\/220818 - 74\/1937. Calculate the common denominator of b and 103\/12.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 + 0 + (7 - 0) + -22.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -451 by 41.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = f**3 - 16*f**2 - 55*f + 5. Give y(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 890884945.\nAnswer: 5, 178176989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 45713562 is divided by 408?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 15276 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = 0*r + 11 - 14 + 4*r. Let w(a) = -20*a + 16. What is -16*l(z) - 3*w(z)?\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 2\/((-8)\/(-4)) - -101. Let a = -93 + s. Suppose -4*v = -a*v, 0 = -5*q + v + 2300000. Round q to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/3)\/((-1)\/(-15))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*q = 27*q - 5250. Is 15 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4195*y**5 - 25*y**2 + 142*y + 545.\nAnswer: 83900*y**3 - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 4478 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 9*l + 38 - 3*l + l**2 - 2*l**2 - 4*l - 3*l. Let i = 8 - 14. Let n be k(i). Solve -5*m = -4*x - 25 - n, 14 = 3*x + 4*m for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -157844128.85 rounded to the nearest one hundred thousand?\nAnswer: -157800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1902 + 1897. What is the second smallest value in -0.4, f, -1, -35\/2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o - 5 + 1 = 3*j, -5*o - 20 = 0. Suppose -6 + j = -3*d. Solve d = 5*r + 4*v, 0 = 3*r - r - 2*v - 8 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 88, 759, 1882, 3463, 5508?\n\"Answer: d**3 + 220*d**2 + 4*d - 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = 3*f**3 + 7*f**2 - 74*f + 190. Give r(3).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1\/6  (b) 26  (c) -58  (d) -2.2  (e) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 14.66898 hours in days?\nAnswer: 0.6112075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1.554 - 37.554. Let y = -28 - 8. Let m = c - y. What is the nearest to m in 0, 0.3, -3\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 92 or -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 31 + 4623?\nAnswer: 4654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**(5\/6)*r**0 assuming r is positive.\nAnswer: r**(5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -225*a**3 + 10*a + 4. Let c be b(-4). Suppose -4*f = -2*x - c, 0 = f + f - 4*x - 7170. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 46895564 is divided by 106?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*h - 9 - 187. Let f = h - 1. Let o = -29 + f. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -4264.1843 to the nearest ten.\nAnswer: -4260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (30848\/3856)\/((65\/(-2))\/(-5)).\nAnswer: 16\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2677182 divided by -5?\nAnswer: -2677182\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1139?\nAnswer: 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2\/(-4) - (-2547)\/18. Suppose -w - 39 = -12*s. Suppose -5*d + 55 = f, 5*f - 245 + 28 = 4*d. What is the lowest common multiple of s and f?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (((-8)\/54)\/(-2))\/((-11)\/33). Suppose -30 = 12*j - 13*j + 4*o, 3*o - 60 = -2*j. Which is the third biggest value?  (a) t  (b) j  (c) -0.5  (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 8*u**2 + 5*u + 6. Suppose 5*h + 3*k = 7 + 3, h + 4*k = 2. Suppose -h*d = d + 15. Let i be o(d). What is i rounded to the nearest ten?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-20)\/(-100))\/((-4)\/5)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 486 = 2*s - 130. Let z be 2043\/72 + 42\/(-112). What is the highest common divisor of s and z?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -82 + 412\/5. What is the second biggest value in 3\/8, -2, 1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 42414 and 0.4?\nAnswer: 42413.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*f - 12 = 6 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:25 PM and 3:33 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -6*c - 19. Let i = -189 - -394. Calculate the remainder when i is divided by b(-9).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -f**2 + 1. Let a(y) = 7*y**2 + y - 7. Suppose 5*w + 3 = 41*w - 177. Give w*r(g) + a(g).\nAnswer: 2*g**2 + g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.335261104 rounded to 2 decimal places?\nAnswer: -1.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -9*b - 3. Let y be u(-2). Suppose 4*j = -2*n + 7*n + y, -j - 2*n - 6 = 0. Solve -x = -j*x + 5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.037417 * -3\nAnswer: 0.112251","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 5*x**2 - 4*x - 7. Let p be j(-2). Suppose p*w - 17*w = 924. Calculate the remainder when w is divided by 58.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 151270487?\nAnswer: 47, 587, 5483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-32)\/1 + (-3 - (-1 - 4)). Let q = n + 24. Find the common denominator of 35 and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(1\/5)*i)\/i**(1\/2)*i\/(i*i*i*i\/i**(-1\/5))*i**1 assuming i is positive.\nAnswer: i**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express (-386 + 46 + 171 - 357)*(3*g**4 + 2*g**4 - 6*g**4) as a*g**4 + c*g**3 + y + q*g**2 + j*g and give a.\nAnswer: 526","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2842555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 160\/70 + (1 + -3)\/1. Find c, given that -r*c**2 + 2\/7 + 0*c = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 142 - 40?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -109\/2470 and 113\/98800?\nAnswer: 98800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-284*j - 94*j**4 + 284*j)*(1 - j - 1).\nAnswer: 94*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -48 + 65. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3 - -10. Let x be (-2)\/32 + ((-1)\/48)\/((-637)\/1911). What is the second smallest value in x, o, 1\/6, 4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4354 - -4353. What is the fourth smallest value in 4, -5, 35, i?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 113*a + 46*a - 2035 = -248*a. Suppose -x - 4*x + 45 = 0. Solve -4*n + t = -0*n, -a*n = t + x for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 704 minutes before 12:36 PM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in u**2 + 13 - 6 - 2 - 5.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 9961825 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 680 = 4*g, -5*f - 161 = -3*g + 323. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5545 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -35041 divided by -523?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -s**3 - s**2 - s + 3. Let c be f(0). Suppose 2*a + 3*u + 9803 = 0, -c*a - 2220 - 12477 = -3*u. What is a rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 24\/7 and -9\/454.\nAnswer: 3178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4047 + -2262. Let d = y - 1198. List the prime factors of d.\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v - v = 0. Suppose v = 4*z - 163984 - 180016. What is z rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -545 + 545 - 71*u**3 - 4*u**3 + 3*u**3 + 0*u**3 + (0*u - 5*u + 3*u)*(-2*u**2 - 1 + 1).\nAnswer: -68*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 135 - 136. Let t = -2 + 1.7. Let n = t + -1.7. Which is the nearest to 0?  (a) -5  (b) j  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = c**2 - 2*c + 12. Let d = 67 - 63. Let k be w(d). What is the greatest common divisor of 16 and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 359721013 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 34337465?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*b = 2*b - 3*b, -5*y - 3*b + b = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d + 938 = -23. Suppose 8*f - d = -169. Is 33 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = i, -z - 5*i - 4 + 13 = 0. What is the greatest common factor of z and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*h**2 + 15078170*h - 15078165.\nAnswer: -5*(h - 3015633)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:53 AM and 6:18 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26 = 5*j - 1 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*m + 5 = -35. Let t be (m\/10)\/(7\/(-8) + 1). Is (7446\/24)\/((-1)\/t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -34887*z + 1437*z**3 + 34887*z.\nAnswer: 1437*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3053259367?\nAnswer: 3053259367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 - (18 - 7 - 8).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -g**2 + 31*g - 24. What is r(29)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -60, -79, -110, -153, -208, -275, -354?\n\"Answer: -6*h**2 - h - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 88170069 to the power of 1\/2, to the nearest integer?\nAnswer: 9390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 + j)*(-3*j + j - 3*j) - 2*j**2 - 4*j**2 + 5*j**2.\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k = 5*o + 27, -3*k - 2*o = -7*o - 22. Let j(r) = -3*r - 2 + 5*r + 5*r. Let w(l) = l. Calculate k*j(b) + 6*w(b).\nAnswer: -b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 71267577.\nAnswer: 3, 23755859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 122550?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2079180.\nAnswer: 2, 3, 5, 11551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 13984.61 millilitres to litres.\nAnswer: 13.98461","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + 0 + sqrt(242) + sqrt(242)*-3.\nAnswer: -22*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -10043\/6 + 1674. What is the closest to 0.2 in 0.2, b, 16.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 32 + -28. Let v(z) = -3*z - 4 + o - 6*z. Let x(a) = -a**2. Calculate v(x(m)).\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is o in 3300\/7*o**3 + 56 - 600*o + 10634\/7*o**2 + 242\/7*o**4 = 0?\nAnswer: -7, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1394051058.\nAnswer: 2, 3, 3343, 23167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0 + 1. Let h = s + -0.997. Let c = h + -0.003062. What is c rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -367*n - 546 = 342*n - 735*n for n.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 108 and 2186436.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/(x*x**(3\/4)))**(-3\/17)*(x*x**27)\/x**13 assuming x is positive.\nAnswer: x**(1029\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o and 1 x when two letters picked without replacement from noxob?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -2*r + 6. Suppose 18*o - 4 = 17*o. Suppose 4*g = 4*h - 24, o*g + 9 + 3 = h. Suppose 5*t = -h*d - 1, -3*t = 5*d - 0*t - 15. What is n(d)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 647 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d = 8*d. Solve d = -3*m - 2*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(-2\/7))**29)**(2\/119)\/((b*b**5)\/b*(b**(1\/6)\/b)\/b*b*b\/(b*(b*b*b\/(b\/(b\/((b*b\/(b\/(b*b**(-1\/2)))*b)\/b))))\/b)*b*b**(-3\/7)*b) assuming b is positive.\nAnswer: b**(-13438\/2499)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3195 or 9\/11599?\nAnswer: 9\/11599","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n = 2*n - 3, 2*m + n = -3227. Let z = -645 - m. List the prime factors of z.\nAnswer: 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-55)\/(-5) + 3)*1. Suppose 2*n - c - v = 0, 5*c - c + 8 = 0. Suppose -n*t + t = 830000. Round t to the nearest 10000.\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 203 minutes after 8:03 PM?\nAnswer: 11:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 112776337 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from afylalylaaay. Give prob of sequence llly.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(12) + sqrt(1452)*-2)\/(-2*sqrt(242) - sqrt(242)))\/(sqrt(4)\/(sqrt(2) + sqrt(14)\/sqrt(7)) + -3*sqrt(50)).\nAnswer: -14*sqrt(3)\/319","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -38 + 371*p**4 - 204 - 1215*p**4 - 373 - 1288*p**4 wrt p?\nAnswer: -8528*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -13733, -27464, -41195?\nAnswer: -54926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3686826 is divided by 210.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2209079?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 38 + -19. Let b = -39\/2 + o. Let t = 2 + -6. Sort b, 3, t in ascending order.\nAnswer: t, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 20 - -6555665?\nAnswer: 6556015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:30 AM and 6:51 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -v + 7. Let x be g(4). Suppose 0 = -0*r + x*r. Suppose -i + r*i - 17995 = 4*a, 3*a = -i - 13495. What is a rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = s. Let v(l) be the second derivative of 0*l**2 + 1\/4*l**4 + 0 + l + 0*l**3. Give v(h(u)).\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 310034596?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1768 is divided by 22?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -61 = -30*v + 25*v - 13*l, 3*v = -3*l + 27 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y*y**(-2)\/y*y*y*y**2*(y\/(y\/(y\/(y*y\/(y*(y\/((y*y**(-2\/5))\/y))\/y*y)))))\/(y\/((y\/(y*y\/(y**2\/y)*y*y)*y)\/y)) assuming y is positive.\nAnswer: y**(2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -53, -2\/21, -20, -5, 2, -2 in increasing order.\nAnswer: -53, -20, -5, -2, -2\/21, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 140 and 256655.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3233 - 3232.618. Which is the second biggest value?  (a) f  (b) 4  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = y**3 - 3*y**2 + 6*y - 3. Let p be (240\/(-42) - -6)*84\/6. What is w(p)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 55 - 47. Solve 0 = 5*o + r - 6*r - 20, 3*o = -r + p for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 78217768.1 - 87617094. Let u = 9399327.90000052 + h. Let x = u - 2. Round x to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -966 divided by -2\nAnswer: 483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 8192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -66127 - -21418. Let f be (o + 0 - -2)\/(-1). Suppose -3293 = -3*v + f. What is v rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 20 - 6. Suppose -2*v - 224 = -4*v. What is the highest common divisor of i and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -14 - -17. What is the smallest value in -3, -2\/5, q, 0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*d - 707 = -691 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 57 = 10*l - 53. Calculate the greatest common factor of l and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*i**3\/23 + 72*i**2\/23 - 810*i\/23 + 2700\/23.\nAnswer: -2*(i - 15)**2*(i - 6)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 15165, 15087, 14987, 14889, 14817?\nAnswer: 14795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 0.1671867 millilitres?\nAnswer: 0.0001671867","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*m + v = 7 + 2, -2*m + 4*v + 4 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*x - 10 - 13 + 23.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*b**3\/3 + 4*b**2\/3.\nAnswer: 2*b**2*(b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 4 + 3)*(4*m - 2*m + 4*m)*(-48 - 18 + 22).\nAnswer: -528*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/15 of a hour in minutes?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 40 + -18. Suppose -2*n + 13 = -75. What is the greatest common factor of n and l?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -q + 15*q - 2 + 14*q - 13*q to d + z*q and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -195, -792, -1787, -3180, -4971?\nAnswer: -7160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 90 + -357\/4. What is the closest to -2\/7 in 1\/3, 5, f?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = f**3 - 13*f**2 + 11*f + 14. Let i be g(12). Suppose i*q = q. Suppose 3*z = x + 4 - q, 3*x + 4*z - 14 = 0. Solve x*s = 5*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 - 13*z + 11*z + 42*z + 3 to m*z + g and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in twenty-one fifths of a micrometer?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 27 divided by 8\nAnswer: 27\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = 8*c + 9. Let t be g(-4). Let x(f) = 5*f**2. Let n be x(2). Let s = n + t. Sort -4, 2, s in decreasing order.\nAnswer: 2, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*p - 17*p + 17859 = -145788. What is the hundreds digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -2\/3, -1, -12.606, 1\/6, -3.53?\nAnswer: -12.606","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -2*a**3 - 13*a**2 - 4. Let w(t) = t**2 + 1. Give -q(j) - 4*w(j).\nAnswer: 2*j**3 + 9*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 17860937 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*x = 11*x - 2*x - 32 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -9 - -5633. Let q = p + -67601\/12. Calculate the common denominator of 51\/20 and q.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3 - (-14 + 22) - -20) + 3 + 8.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 18164 + -12734. Suppose 4*v - u = 2*o, 5*v = 7*v - 2*o - 2716. What are the prime factors of v?\nAnswer: 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find d such that d**3 + 7*d**2 + 11*d + 5 = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -o - 11. Let j be z(-4). Let m(x) = x**3 + 5*x**2 - 13*x + 9. Let l be m(j). Is 15\/l*72\/10 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 142343543 to the nearest integer?\nAnswer: 522","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 6815 rounded to the nearest one hundred?\nAnswer: 6800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = 3*i**2 + 159*i - 148. Suppose -m = -48 + 24. What is the remainder when m is divided by v(-54)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = 31*p - 4. Let a be m(-3). Let s = a + 17. What is s rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1080 and 525690?\nAnswer: 2102760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 81860064659 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 77121649 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o = -2*l + o + 252, 4*l = 3*o + 558. Calculate the highest common divisor of 198 and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -2*-4*(-1)\/8. What is the remainder when 8 is divided by (-1)\/(j + 16\/20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(-1\/3)*g*g**(-3))\/(g**(-4\/5)\/g**22))**(-8) assuming g is positive.\nAnswer: g**(-2456\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 7870663 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Product of 2 and 77.\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 106 and 103562.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 89 + -83. Suppose -18*z + 20*z = n. Calculate the remainder when z is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 832?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5.95 + 3451.\nAnswer: 3445.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/3?  (a) 532  (b) 2\/11  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 103 - 53. Let y(p) = -p - p**2 - 3*p**2 - 1 - 2*p**3 - 3. What is the remainder when k is divided by y(-3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 61830155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 22\/6 + 6\/(-9). Suppose -j*r + 3*q = q - 382, -r + 3*q + 125 = 0. Calculate the highest common divisor of r and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*u = -8*u + 4*q + 2038, -2*u + 4070 = -5*q. Calculate the highest common factor of u and 140.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2842813, 5685636, 8528463, 11371294?\nAnswer: 14214129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1.107 - 0.107. Let u = -0.6 + 0.1. Put u, -2\/15, s in descending order.\nAnswer: s, -2\/15, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.207 * 8083800.\nAnswer: 1673346.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express -3221 + 763*o**2 - 404*o**2 - 361*o**2 in the form r*o**2 + w + s*o and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:26 PM and 6:13 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 18 + -13. Suppose 2*o + 36 = p*w, -5*w - 3*o = 2*o - 50. What is the tens digit of (166\/(-3))\/(w\/(-12))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s = -15 + 124. Let f = -1 + s. Calculate the greatest common divisor of 12 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 + 1 + 5)*(-55 - 60*x + 55).\nAnswer: -720*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 181263 is divided by 2351.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (40\/(-6))\/(-2)*30\/(-75)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*x + 10*x - 40*x + x + 7*x + 8*x.\nAnswer: -8*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000247156 rounded to six decimal places?\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 8 + -12. Let p = -4 + -2. Let j = p - -6.1. Put 1, j, o in descending order.\nAnswer: 1, j, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 60 = 16. Calculate the remainder when i is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/3 in -17496164, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -17, -22, -27, -32?\n\"Answer: -5*c - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 8709946 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:48 PM and 7:33 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express (h**3 + 11*h**3 - 8*h**3)*(-2 + 1 + 2)*(4321 - 2509 - 2181)*(2 - 5 + 4) in the form y*h + c*h**2 + m*h**3 + i and give m.\nAnswer: -1476","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 3*k - k + 212 - 229. Let z be r(11). Solve z*o + 11 = -c, -2*c - 15 = 3*c + 5*o for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 17*g - 12*g - 20 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 104 - -10?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 30.40602 hours?\nAnswer: 109461672000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 5*f + 4*f**2 - 8*f + 3*f**2 + 8. What is the tens digit of i(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*p - 2743 - 7*p + 2555.\nAnswer: -3*p - 188","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -37779, -75572, -113381, -151212, -189071, -226964?\n\"Answer: -l**3 - 2*l**2 - 37780*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -2667 > 3197?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 l and 1 u when three letters picked without replacement from ulllulllllluuu?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 474787 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6 - 7) + (1 - (-3 - 7))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -119523876, -239047752, -358571628, -478095504, -597619380, -717143256?\n\"Answer: -119523876*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -18*m**2 + 543*m**3 - m + 8*m**2 + 2*m**2 + 7*m**2 to i*m**2 + n*m**3 + t*m + u and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = 5*k**2 + 5*k - 34. Does 13 divide f(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1254.9 to the nearest one hundred.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*h - 5*i + 10 = 0, 29*i = 25*i + 16 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-8)\/(-2)*3\/12. Let m = 1.96 - 1.86. What is the third biggest value in m, z, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*m = -2*z - 12, m + 4 = -m - 2*z for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 284 and 11005?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.7402609 litres in millilitres?\nAnswer: 740.2609","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 73 + -74. What is the third smallest value in 0.1, x, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.37 + 6.37. Which is the smallest value?  (a) 1\/3  (b) n  (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 2*r - 1377936 = 0, -2*w = 3*r - 745289 - 632622. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) be the third derivative of -k**4\/8 - 6*k**2 - 2. Let s(z) = -11*z. Determine s(l(n)).\nAnswer: 33*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-1 - 767)*114\/(-4). Suppose -i = -7*w - 29*w. What are the prime factors of w?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 72 and 19584?\nAnswer: 19584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*z + 2*z + 6*z - 47*z**3.\nAnswer: -47*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -2b7b1a (base 13) to base 15\nAnswer: -163363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 314 (base 7) in base 2?\nAnswer: 10011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -897764620 divided by -224441155?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 1285 + (11 + -7 - 1) a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k*k**(-16)*k)\/((k\/k**(1\/3))\/k) assuming k is positive.\nAnswer: k**(-41\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -3, -109, 1\/5, 3\/10, -2\/3, 0?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is a in 3*a**3 - 1142904*a**2 - 2285817*a - 1142910 = 0?\nAnswer: -1, 380970","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -925, -922, -919?\n\"Answer: 3*i - 928","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 79cb5 (base 13) to base 8\nAnswer: 661264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-30)\/12)\/(6\/(-12)). Solve 0 = -7*u + h + 9 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -b = 4 - 1 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 169940?\nAnswer: 2, 5, 29, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 - (7 + -6 + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) be the third derivative of -55*p**4\/24 - 17*p**3\/3 + 82*p**2. What is the hundreds digit of u(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 715.6293 days in seconds?\nAnswer: 61830371.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -35116688 divided by 5\nAnswer: -35116688\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*c**2\/9 + 2364208*c\/9 - 1050752.\nAnswer: -4*(c - 591048)*(c - 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*f + 4*f = 234. Let g(y) = 2*y**2 - 26*y + 4. Calculate the lowest common multiple of 113 and g(f).\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is m in 15*m**5\/8 - 787*m**4\/8 + 3945*m**3\/8 - 4285*m**2\/8 + 45*m + 94 = 0?\nAnswer: -1\/3, 4\/5, 1, 4, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 32321454 - -13?\nAnswer: 32321511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.5  (b) -1\/27  (c) 2\/3  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0219136 rounded to four decimal places?\nAnswer: -0.0219","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 + -1 - (6 + (-8 - -8))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*m - 2*m - 300. Suppose 40 = -2*z - 168. Let p = 119 + z. What is the highest common factor of p and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = h**3 - 83*h - 83. Let s be o(-1). Put -1\/4, 229, s in descending order.\nAnswer: 229, -1\/4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1.5  (b) -0.2  (c) -1  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*s + 5 = -2*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -42515 by -55.\nAnswer: 773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -x**3 - 4*x**2 + 11*x - 4. Let y be i(-6). What is u in -u**3 - 17*u + 15*u - 5*u**y + 8*u = 0?\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 58 - 53. Solve o*k = 5*j - 20, k - 5*k - 5*j = 7 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -90 + 77. Is (1 + f)\/((-22)\/660) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = a**2 - a. Let v(w) = w**3 - 2*w**2 + 7*w - 6. Let q(c) = 3*h(c) + v(c). Let n(d) be the first derivative of q(d). What is the units digit of n(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -1908, -13779, -45990, -108711, -212112, -366363, -581634?\n\"Answer: -1695*u**3 - 6*u - 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -132*m**2 + m + 2394?\nAnswer: -264*m + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = f**3 - 4*f**2 + 7*f + 2. Is h(8) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1189 and 369.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = j**2 + 5*j + 33. Let i be h(-10). Let m = 255 - i. List the prime factors of m.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f**2\/7 + 39768*f\/7 + 397780\/7 = 0. What is f?\nAnswer: -10, 39778","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((u*u\/(u*u**(-1\/6)))\/u)\/u)**28\/((u*u\/u**3)\/u)**(-23\/5) assuming u is positive.\nAnswer: u**(-488\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -70*z + 44*z - 36*z - 20*z - 77*z. Let w(a) = 3*a**2. Give t(w(m)).\nAnswer: -477*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*t + l - 21 = 4*t, 4*l = t - 21 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 178260 is divided by 22?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -27562*-0.18.\nAnswer: 4961.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vv when two letters picked without replacement from wwswvvvsvvswxwvvsss?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -89.2*0.1654.\nAnswer: -14.75368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor -9*p**3 + 654*p**2 - 2295*p + 1242.\nAnswer: -3*(p - 69)*(p - 3)*(3*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 - 11.2213?\nAnswer: -5.2213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -3.7, 0, -0.1 in decreasing order.\nAnswer: 5, 0, -0.1, -3.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 3085243519 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 11534\/13 + -884. Let u = 12484171\/65 + -192068. Let d = u + y. What is the closest to -0.1 in d, -2, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 362 - 286 - 76 - 4225*i**2.\nAnswer: -4225*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) be the third derivative of s**9\/90720 + s**8\/5040 + s**7\/840 + s**6\/270 + 2*s**5\/15 - 9*s**2. Let p(q) be the third derivative of y(q). Factor p(n).\nAnswer: 2*(n + 1)**2*(n + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 4*s = -14, 0*s + s + 12 = -4*k. Let h be 38\/k*-1 + -3. What is the greatest common factor of h and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o + 18 = 6*o + 5*m, -5*o - 3*m + 16 = 0. Let q be ((-61)\/3)\/((-1)\/3). Let w = q - 40. Solve -3 = -x - b, -o*b = -3*x + b - w for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2*6 - (5 + -3). Suppose 189 = -x*f + 69. Let s(j) = j**3 + 11*j**2 - 16*j - 17. Is s(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 38116 to the power of 1\/2, to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 1.04  (b) -700  (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3, 12, 21, 30, 39, 48?\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = l**3 + 314*l**2 - 799*l - 52762. Determine c(-316).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5499 = 1428*y - 2039*y for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -9 + 9.2. What is the second smallest value in p, 2\/3, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -6*h**3 + 44*h**2 + 30*h + 45. Determine r(7).\nAnswer: 353","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = 3*v**2 + 100*v + 1257. What is the lowest common multiple of w(-13) and 120?\nAnswer: 6960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v + 8 = -4*f, 4*f = f + 4*v - 34. Let d be (-7)\/f - 2\/6. Let z = 18.9 - 18.8. Which is smaller: d or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 65384 to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 8*p - 3. Suppose 0 = b + 4*b. Let u be b\/(-4) - 3 - -7. List the prime factors of c(u).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in twenty-nine halves of a litre?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -141, -148, 63, 2, -10 in decreasing order.\nAnswer: 63, 2, -10, -141, -148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.6 + -4.4. What is the third smallest value in 3, 4\/3, q?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8223077.85 rounded to the nearest 1000?\nAnswer: -8223000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -5426 + 5449. Suppose 3*r + 14 = 5*r. What is the remainder when g is divided by r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15559 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18*k**2 + 24*k**2 + 8*k**2 - 30*k**2 + 13*k**2 + 17*k**2.\nAnswer: 14*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sum -534430510858 and -0.14.\nAnswer: -534430510858.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (234 + -186)\/(20\/(-25) + (-14)\/20)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-75)\/(-825)*0\/(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 12106149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 489*n - 735. Let u(v) = 977*v - 1387. Let k(q) = -2*u(q) + 5*x(q). What is the derivative of k(j) wrt j?\nAnswer: 491","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*p + 15*y - 24 = 16*y, -4*y + 24 = 4*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6162826.\nAnswer: 2, 3081413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (8\/6)\/(24\/72)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3177350 + 13891529 = 21*j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 79363, 158719, 238111, 317557, 397075, 476683?\nAnswer: 556399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve g = 4*m - 7, 5*m - 608*g + 607*g = 7 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = z + 7. Let f be c(7). Let y = f - -20. Calculate the remainder when 100 is divided by y.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*((sqrt(192) - sqrt(192)*-1)*-1 + sqrt(192) - (sqrt(1500) - 1*sqrt(1500))\/sqrt(5))**2 + -1.\nAnswer: 383","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-12)\/72 + -2*58\/24.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*h = 4*d - 174 + 206, 34*h + 8 = 36*h - 4*d for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -z**2 - 9*z - 9. Let y be t(-6). Sort -1, y, 1 in ascending order.\nAnswer: -1, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 17\/66 and -3\/7?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(7) + (5 + sqrt(21)\/sqrt(3) + sqrt(7))**2 + 1 + sqrt(7) + -3.\nAnswer: 51 + 22*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s + 450089997 = 3*y, -3*y + 73378565 = 2*s + 373438568. Round s to the nearest one million.\nAnswer: -150000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -20*h + 10. Let z be p(-7). Let r be ((-2)\/(-4))\/((-15)\/z). Which is the closest to 4\/9?  (a) r  (b) 0.1  (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2 - -2) + 27 + (-105 - -101) - (-16 - -20).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1331*v**5\/2 + 15484491*v**4 - 8446218*v**3 + 1535684*v**2 - 93072*v.\nAnswer: v*(v + 23268)*(11*v - 2)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -r**3 + 5*r**2 - 4*r + 6. Let k be l(4). Let v = k + -3. Suppose -2*i - 3*p = 9, -v*p - 17 = -4*i - 2*p. Put i, 11, 2 in descending order.\nAnswer: 11, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 5*v**5 - 7*v**3 + 5*v + 3. Let n(y) = 35*y**5 - 50*y**3 + 35*y + 20. Let x(c) = 3*n(c) - 20*u(c). Factor x(g).\nAnswer: 5*g*(g - 1)**2*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 21\/18 + (-12)\/72 + 2. Solve 0 = -g*o - 3*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 21020 + -1112221001?\nAnswer: -1112122211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a - 6 = -0*a. Suppose 4*m - 7*m = -4*q - 29, -3*q = 4*m + a. Sort 1, q, 6, 2 in decreasing order.\nAnswer: 6, 2, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -66222 and 1776?\nAnswer: -117610272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor h**2 + 6079*h + 30370.\nAnswer: (h + 5)*(h + 6074)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -23280 + 41438. What are the prime factors of s?\nAnswer: 2, 7, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4*(351\/(-104))\/27)\/((-20)\/25).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 0 + 26 + -9 + 7. Suppose 4*z + 28 = 2*v, -2*z - u - 6 = -5*v. Suppose 14*i**3 - 4*i + 5*i - 18*i**2 + 7*i - v*i = 0. What is i?\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 135077 is divided by 22459.\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000001537768 rounded to seven dps?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 717963.4 micrometers in centimeters?\nAnswer: 71.79634","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 130330584 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*n**3 + 0*n**4 + 2*n**4 + 4*n**3 - 3*n as f*n**3 + u + m*n**4 + q*n**2 + y*n and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1037 + 1029.0025. Let h = f + 8. Round h to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 853 and 855 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (17 - 7 - 7)\/(16\/2). Let p(w) = -36*w - 1. Let g be p(-1). Sort s, 5, g in descending order.\nAnswer: g, 5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + z - 62 = 0. List the prime factors of z.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y = k + 14, -5*y - 8 - 2 = 5*k. Let h be (-1 - 9\/(-6))\/(y\/(-174)). Are 29 and h non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 227216, 227095, 226974, 226853, 226732?\nAnswer: 226611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 754686 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 9 - -12. Calculate the remainder when 39 is divided by b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -r**3 + 2*r**2 - r. Let j be q(1). Let s(m) = j*m**2 + 0*m**2 - m**2 + 5*m**2. Let n(y) = 1 + y**2 - 1. What is s(n(d))?\nAnswer: 4*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u - 92 = -0*u + 4*f, f - 175 = -5*u. Is u a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 90688.6 and -0.5?\nAnswer: -45344.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express -166*b + 1080*b + 143*b as d + v*b and give v.\nAnswer: 1057","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 g and 1 z when three letters picked without replacement from iizggbzgzgygbybbib.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -76 + 82 + 1 + -1\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -3\/11?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*o**4\/5 - 12*o**3\/5 - 3*o**2 - 6*o\/5.\nAnswer: -3*o*(o + 1)**2*(o + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = 192*y + 21584. Calculate o(-102).\nAnswer: 2000","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -10.34 - -10.44. Which is the nearest to q?  (a) 3  (b) 31  (c) 0  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i - 1 = 2*s - s, -3 = -3*i + 3*s. Solve -14 = -i*b - 3*b - 5*o, 2*b + 3*o = 9 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -76 - -78. Calculate the lowest common multiple of 49 and a.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 - 2 - 2*p**4 + 21*p - 21*p - 22*p**4 + (p - 4*p + 2*p)*(-p**3 + 4*p**3 - p**3) in the form b*p + m*p**4 + h + f*p**2 + o*p**3 and give m.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2337.\nAnswer: 3, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 2*d. Let a be (-32)\/(-14) - (-2)\/(-7). Let l(x) = -a - 2*x + 2. Give l(j(s)).\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide 195730 by -18.\nAnswer: -97865\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -287*k + 2884. Give n(10).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1372, 1373, 1376, 1381, 1388?\nAnswer: 1397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c = 5*s + 8, -s + 30*c - 28*c + 4 = 0. Which is smaller: 5\/167 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -4*g + 70. Is 7 a factor of l(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4)\/(-18)*-1)\/((-1)\/(-3))*7349049\/96066?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -67563 - -67271.89. Let s = g + 291. Sort 10, s, -3, -0.4 in descending order.\nAnswer: 10, s, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = y + 2*w - 18, 4*y - 5*w - 137 = -0*y. Suppose 4*k + 2*g = y, -4*k + 24 = 2*g - g. Solve 0 = -2*p - 0*u + k*u - 19, 5*p = u + 10 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 10241?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*sqrt(17)*4 + -4 + 5)**2.\nAnswer: -48*sqrt(17) + 9793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -81353000 rounded to the nearest one million?\nAnswer: -81000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 169 + 146762\/(-770) + 22 + 0.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-2)\/(-12) + 119\/6. Suppose -4*v - k = 5*c, 13 - 1 = -3*c. Suppose -2*g + 7 = -3*t, t + v = 4*g - 29. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 18, 29, 42, 57?\n\"Answer: o**2 + 8*o + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = y**3 + 10*y**2 + 21*y - 5. Let r = 228 - 235. Let m be x(r). Put m, 6, -1 in increasing order.\nAnswer: m, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -34, -1, 1, 3 in descending order.\nAnswer: 3, 1, -1, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 6\/(-12) - -1*3\/2. Let t(b) be the first derivative of -4*b**3 + b + 1. Determine t(n).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-6)\/(-8))\/(90\/(-16))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9014 is divided by 141.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) be the first derivative of k**3\/3 - k**2\/2 + 10*k - 3. What are the prime factors of d(0)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/4?  (a) -2.49  (b) 0.5  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*d*q**4 + 3*d*q**3 - 3*d*q**2 - 95*d*q + 5*d - 5*q**4 + 6206*q**3 - 31*q**2 wrt q.\nAnswer: 48*d*q + 18*d - 120*q + 37236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3 - -7. What is the remainder when 110\/4 + (-1)\/(-2) is divided by q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1.049448 millimeters to nanometers.\nAnswer: 1049448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l*l**(-6\/11)\/l)\/(l**(-4\/3)\/l))**(-34) assuming l is positive.\nAnswer: l**(-2006\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7548*x**3 - 277816*x**2 + 277816*x**2 - 25342*x**3.\nAnswer: -32890*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -7 - -19. Suppose -3*w = -d - q, -2*w = 2*w - 20. Suppose k = -d*k + 120. Does 10 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (72\/21 - 4)*14\/(-2). Suppose j + 3*x - 8 = 0, 5*j = 3*j + d*x + 46. Calculate the remainder when ((-3)\/6)\/((-2)\/200) is divided by j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lm when two letters picked without replacement from {p: 1, m: 1, a: 1, l: 1, i: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -2*l**2 + 2*l - 4. Let k(i) = -2*i**2 + 2*i - 5. Suppose -5*n + 3 = -4*n. Determine n*k(m) - 4*h(m).\nAnswer: 2*m**2 - 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1267392, 1267393, 1267398, 1267407?\nAnswer: 1267420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 times 20162?\nAnswer: -6048.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide -191 by 959281.\nAnswer: -191\/959281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-21)\/49 - 2*17795\/(-83125). What is the second biggest value in t, 5, -4, -2\/7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = d**3 - 2*d**2 - 278*d + 1328. Give z(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put -6.3, -4\/3, 1\/4, 76, 4 in descending order.\nAnswer: 76, 4, 1\/4, -4\/3, -6.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 307 + 829 = p, -4*p = -3*a - 4468. Suppose 0*f + p = f. Suppose u - 387 = f. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 13*w**2. Let l(b) = -5*b - 1. Determine l(j(k)).\nAnswer: -65*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 6 + 2)*(-6*o**3 + o**3 + o**3).\nAnswer: 12*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**(-1\/5)\/d*d*d)\/(d*d**(1\/6)\/d*d*d))**26 assuming d is positive.\nAnswer: d**(-533\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (1081\/92)\/((-272)\/384*-6 + -4)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 821207337 to the power of 1\/3, to the nearest integer?\nAnswer: 936","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -189452*w**3 + 5*w**2 + 6395517*w.\nAnswer: -1136712*w + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = d - 1. Let v be g(7). Solve -2*c = 3*p + 1 - 20, 2*p - v = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -936*d - 1983*d + 305*d + 113*d.\nAnswer: -2501*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, -3, 3, -5, -1 in ascending order.\nAnswer: -5, -3, -1, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 36175 is divided by 133?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 159\/2 + 1 - 31\/(-62). Calculate the common denominator of 3\/(l\/11) + (-22)\/33 and ((-51)\/12)\/(9\/(-4)).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1411214 to the power of 1\/2, to the nearest integer?\nAnswer: 1188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 85 = 2*m + 3*m. Let w = 325 + -292. Let l be 6\/w - 60\/(-33). Solve -a = -5*k + m, l*a + 5 = k + a for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -877*g - 22. Let i(n) = -874*n - 30. What is -2*i(x) + 3*o(x)?\nAnswer: -883*x - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 272493494?\nAnswer: 2, 7, 13, 43, 34819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 119\/300 and -97\/352.\nAnswer: 26400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -20*m**2. Let v(n) = 5*n + 1. Let f(w) = -76*w - 15. Let i(g) = 26*g + 5. Let k(s) = -6*f(s) - 17*i(s). Let h(u) = -k(u) + 5*v(u). Calculate c(h(j)).\nAnswer: -2420*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 2*s + 21. Let m be r(-11). Let d be 10\/55*m + 24\/11. Suppose -y - 6 = -5, -5*l + 5*y + 25 = 0. Solve -l*u - 24 = d*w + 2*w, -w + 2 = -3*u for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q = -2*h, -2*h - 3*q + 22 = -3. Suppose -288 = -h*i + 2*i. Let v = i + -53. Sort -3, v, 2, -1 in decreasing order.\nAnswer: v, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 280 and 280.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j - 3*w - 9 = 0, 0*j - 4*w - 12 = 3*j. Let r be 2\/(8\/12) - j. Let g = r - -19. What are the prime factors of g?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + (sqrt(1872) - (sqrt(1872) + -3)) + ((sqrt(1872) + sqrt(1872) + -3)*-6)**2)*-5.\nAnswer: -1349485 + 25920*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8)\/6*42\/41496*78.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 714402?\nAnswer: 2, 3, 13, 43, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*k + 6*s - 30 = 0, 13*s = 16*k - 21*k + 65 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 665 minutes before 3:37 AM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2233 is divided by 80?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 324206 (base 7) to base 4.\nAnswer: 31311323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 292 divide 15245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -9 + 16. Calculate the remainder when 8 is divided by p + -4 - (0 + -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*h**2 + 3180*h - 234736.\nAnswer: 4*(h - 68)*(h + 863)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 12 = -0*s. Suppose -5*o + s*k + 49 = 0, 2*o - 2 + 1 = -5*k. What is the smallest common multiple of 14 and o?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 215.571 + -76.983. Let k = 104.07 - -34.93. Let f = k - t. Round f to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g = 3*g, 4*o - 5*g = 336. Let s be (2\/(-4))\/((-14)\/o). What is the third biggest value in 4\/7, -1\/7, s?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = 2 + 1 - f + 9. Let m = -11 + 17. What is the units digit of h(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2268647175?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = 24*z**2 - 5*z - 4. Let d be h(-5). Suppose -10*u + 109 = -d. Is 4 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 7510, 29790, 66926, 118918, 185766, 267470?\nAnswer: 364030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 515*k**3 + 3*k**2 + 225*k + 9. Let v(x) = 1032*x**3 + 7*x**2 + 448*x + 21. Let g(w) = 7*u(w) - 3*v(w). Find the second derivative of g(b) wrt b.\nAnswer: 3054*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -29*o + 387. Suppose 182*j = 188*j - 66. Calculate the remainder when t(j) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 21418761?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -6 - -14355?\nAnswer: 14349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Expand (-307 + 307 - 38*r)*(-11 + 7 - 1)*(r**2 + r - r) + 0*r**3 - r**3 + 0*r**3 + (3*r - 3*r + 2*r)*(-r**2 - 2*r**2 + r**2).\nAnswer: 185*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -296.5 + 297. Which is the nearest to 0.088?  (a) -2\/11  (b) q  (c) -1\/4  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2025533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1167.3 - 1168.3. What is the nearest to a in -1, 0, -0.4, 1\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u = 17*u + 980. Let r be 12\/(-30) - -4*(-2)\/u. Sort -5, 0.4, r in decreasing order.\nAnswer: 0.4, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((3 - 1 + 0)*(0*y + 2*y + 0*y) + 4*y - 6*y + 4*y)*(-y - 5*y + 4*y)*(11*y**2 - 7 + 7) + 669*y**2 - 669*y**2 - 258*y**4.\nAnswer: -390*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -71.2 from 42476298.\nAnswer: 42476369.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u - 19 = -43. Let i = 3 - -1. Calculate the least common multiple of u and (12 - i)*6\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 9*w - 238. Let u(n) = 16*n - 474. Determine 11*c(j) - 6*u(j).\nAnswer: 3*j + 226","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 52420749 and 48507.\nAnswer: 2553","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**0\/x)**(-1\/2)*(x*x**(-3\/7))\/x*x**(-1\/4) assuming x is positive.\nAnswer: x**(-5\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sf when two letters picked without replacement from {v: 4, s: 9, f: 1, h: 2}.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 8002*12\nAnswer: 96024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is d in -d**4\/11 - 612432*d**3\/11 - 7961433*d**2\/11 + 8573866*d\/11 = 0?\nAnswer: -612419, -14, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve l**3\/3 + 59263*l**2 - 5454312*l + 376396196\/3 = 0 for l.\nAnswer: -177881, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (-62 - 40) + 143 - (119 + -3)?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -77*j. Let g(h) = 105515*h. Give g(t(u)).\nAnswer: -8124655*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 482 + -841. Let a = k - -419. What is the greatest common divisor of 320 and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 26669 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3632 is divided by 903?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 99 divide 1552231593?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 9*p + 219. Give g(-19).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -19*f**3 + 68*f**2 - 12*f - 6. Let b(d) = 3*d**3 - d**2 + 2*d + 1. Calculate 6*b(y) + s(y).\nAnswer: -y**3 + 62*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 71100 - 353291\/5. Factor 94\/5*o - j - 1\/5*o**2.\nAnswer: -(o - 47)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -29 + (49 + -43 - (16 + (-4 - (3 - 2))))\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*p - 2*q = -13, -5*p - 39*q = -37*q - 5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -5131509*g**2 - 1421357.\nAnswer: -10263018*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 53\/135 and 2\/5.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 59 + -25 + -15 + 13 + 8 + -10?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 249 - 227. Suppose -378 = t*r - 31*r. Calculate the remainder when r is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/2?  (a) 3  (b) 1  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -8527*u - 3044147. Determine j(-357).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1ca48a + -4?\nAnswer: 1ca486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36 + 254 = 10*d. Calculate the remainder when 132 is divided by d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3572000667\/40 - -89336846. Let o = f + -36832. Calculate the common denominator of o and 67\/18.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3244, 3438, 3622, 3790, 3936, 4054, 4138, 4182?\nAnswer: 4180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = 6*v**2 + 22*v + 19. Suppose 4*c + 0 = 4*w - 44, -3*w = 3*c + 33. Is p(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = m**3 - 18*m**2 + 47*m - 30. Let i be g(15). Suppose i*z = -5*z + 2*t - 473, -2*z = 2*t + 192. Sort 5, z, 0, -2 in decreasing order.\nAnswer: 5, 0, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 299 + -249 - (35 - 1)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14 + 12 + 4*v**3 + 2.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 696 and 435.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -2*v + 2. Let g(p) = -2*p + 3. Suppose 3*x - 1 = 4*o, -4*x + 2*x - 3*o = -12. What is x*g(b) - 2*h(b)?\nAnswer: -2*b + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -2*u**2 + 998*u - 14. What is z(0)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -195*m*u**4 + 8*m*u**2 + 2*m*u - 2*u**2 wrt u?\nAnswer: -4680*m*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 2 - c0?\nAnswer: -bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 36.3 + -33. Let w = y - 10.3. Which is the second biggest value?  (a) -4  (b) -2\/21  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o**3\/8 + 6810*o**2 + 743486373*o\/8 + 19994778963\/4 = 0. What is o?\nAnswer: -27213, -54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 3, c: 3, b: 3, g: 3}. Give prob of picking 1 b and 1 c.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.882 rounded to one decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 1721987 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 102 - 98. Suppose y*q - 3*o - 170 = 0, 5*o = -3*q - 0*q + 142. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 870 is divided by 117.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 955263 to the power of 1\/4, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -7*(1\/((-14)\/(-24)))\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -7*p + 14. Let t be w(0). What are the prime factors of 6\/t + (-3035)\/(-7) + -2?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**(5\/3)*r\/(r\/(r**(-2\/5)\/r*r*r)*r)*(r*r**4)**(-16\/5) assuming r is positive.\nAnswer: r**(-221\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-15)\/(-10) - 1)*(-3)\/15*-5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -35\/8 and -3\/5588.\nAnswer: 11176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 814, 1598, 2370, 3130, 3878, 4614?\n\"Answer: -6*q**2 + 802*q + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 23, -52, -489, -1540, -3457, -6492, -10897, -16924?\n\"Answer: -42*b**3 + 71*b**2 + 6*b - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Do -87.37 and -1\/4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out 6.3 * 116644.\nAnswer: 734857.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 437000 rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -4.987  (b) 0.08  (c) -5  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -43, -35, -23, -7?\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = 2*s**2 + 9*s + 21. Let o be i(-5). Suppose -2*g + 5 = -n, 0 = 5*g + 3*n - o + 19. Solve -2*y - 2*l = -l - 8, -4*l + 2 = g*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -14, -5, 43 in ascending order.\nAnswer: -14, -5, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -6\/45239 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -19*t + 603 - 309 - 296. Let f(b) = 38*b + 4. Give 3*f(n) + 7*x(n).\nAnswer: -19*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 6498324, 12996642, 19494966, 25993296, 32491632, 38989974, 45488322?\n\"Answer: 3*j**2 + 6498309*j + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-3829)\/(-1904) + 3 + -1 + -4. Are w and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 92094, 92130, 92150, 92148, 92118, 92054, 91950?\n\"Answer: -j**3 - 2*j**2 + 49*j + 92048","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find m such that -m**4\/5 + 37*m**3 + 38*m**2 - 148*m - 744\/5 = 0.\nAnswer: -2, -1, 2, 186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z = -1, -1621*h + 1622*h = 5*z + 69931. Does 62 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 30627677 is divided by 5104612?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u = -2*v + 77566, 0 = -v - u + 9654 + 29124. What is the hundreds digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 35*y - 68*y + 35*y - 4873.\nAnswer: 2*y - 4873","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from eqeqqqeqqqqqeeqeeee. What is prob of sequence eeeq?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -21265.9135*-0.4\nAnswer: 8506.3654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 261 - 11?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 6 + ((1 - 3) + 3 - 1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -12834514.4 rounded to the nearest ten thousand?\nAnswer: -12830000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 4, q: 7, o: 4, m: 1, v: 2, f: 2}. What is prob of sequence vvmv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = p**3 + 2*p**2 + 6*p + 47. Let w be c(-4). What is the tens digit of 6 - 2492\/(-6) - (-3)\/w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -208 + 2485 = 11*p. What is the greatest common factor of 46 and p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -y + 18. Let f(u) = u - 15. Let l be f(23). What is the remainder when 59 is divided by m(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5*2 - (7 - (-13 - -16))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1512826436?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -78 + 12 = -6*s. Suppose s*n - 3 = 8*n. Suppose 0*l - 4*l = -12. Calculate the lowest common multiple of n and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 37936, 151728, 341380, 606892, 948264, 1365496?\nAnswer: 1858588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 1399952, 2800085, 4200218, 5600351, 7000484?\n\"Answer: 1400133*r - 181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 2615 times -0.07\nAnswer: -183.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = 4*g**2 + 3*g - 287. Let o(j) = -22*j**2 - 16*j + 1436. What is 16*c(x) + 3*o(x)?\nAnswer: -2*x**2 - 284","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -f**3 + 3*f**2 + 4*f + 4. Let u be c(4). Suppose -n - 6 = u. What is the common denominator of -13\/10 and (43\/n)\/(7\/14)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {u: 4, o: 6}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -228 and -0.07?\nAnswer: 227.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i*i**(-2))\/((i*(i*i**(-1))\/i*i)\/i*i)*(i\/(i\/(i*i**(-5)\/i*i)))**36 assuming i is positive.\nAnswer: i**(-145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 151015 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 146593, 144300, 140479, 135130, 128253, 119848, 109915?\n\"Answer: -764*o**2 - o + 147358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1\/((-1)\/(-30)*-1). Suppose -34*n - 74 - 640 = 0. List the prime factors of 220\/y*n\/2.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.5, -12, -1\/12, 0 in ascending order.\nAnswer: -12, -0.5, -1\/12, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -51*r**3 + 2764*r - 84*r**3 - 2764*r.\nAnswer: -135*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -v - 5. Let p be s(-7). Let c(u) = -3*u**3 + 3*u**2 - 2*u + 3. Let a be c(p). Does 9 divide 1 - a*(2 - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3414289*n + 3414331*n - 6828753*n.\nAnswer: -133*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = 159*g**3 + 1271*g**2 - 11*g + 5. Calculate q(-8).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-24 - (6 + -7)) + 23 + -14.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -40 + 64. Let i = 32 - b. Calculate the remainder when 28 is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 36917, 72464, 108001, 143522, 179021, 214492, 249929?\nAnswer: 285326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -85\/6 in 289, -3, -3\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 9364 greater than -106\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((-1*sqrt(66) + sqrt(66))\/sqrt(11) + sqrt(6))\/sqrt(3) + -5)*-1 + 0)**2.\nAnswer: -10*sqrt(2) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 5, r: 2, i: 2, b: 3}. What is prob of picking 2 i, 1 r, and 1 f?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 20278, 20266, 20254, 20242, 20230?\n\"Answer: -12*g + 20290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 15 = -3*g. Let c(m) = -3*m + 2*m**2 + g*m. Let o(q) be the second derivative of q**4\/12 + q. What is o(c(u))?\nAnswer: 4*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + 2*l + 360 = -230, 0 = -4*g + 2*l + 788. What are the prime factors of g?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10 divided by 20818966\nAnswer: 5\/10409483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-3 + 6 + -7)\/(4\/(-2)). Solve -d + 10 = -y*v, 11*d = -3*v + 13*d - 15 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t = -2*h - 6, -14*t = -3*h - 16*t - 21. Sort 10, 5, h, -4, -5 in descending order.\nAnswer: 10, 5, -4, -5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -34*d**3 - 81906*d**2 + 120120*d + 36 wrt d?\nAnswer: -204*d - 163812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -5*f + 20. Let p(z) = -z + 5. Let h(c) = -2*o(c) + 9*p(c). What is the units digit of h(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-2)\/6)\/((-5)\/60). Let s(q) = -u*q + q + 4*q + 0*q. Let a(t) = -2*t - 2*t + 6*t. Calculate s(a(h)).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 3\/19 smaller than 2\/749?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 312488956.\nAnswer: 2, 13, 373, 16111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 1728258777 to the power of 1\/6, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (-37)\/((-3108)\/48) + -6*(-679)\/(-7301)?\nAnswer: 2\/149","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from squsuutuquunusstq. What is prob of picking 2 q?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 22209 and 528.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 2*y + 4. Suppose -2*p + u = -2 - 3, -4*u = p - 16. Suppose 2*z - 2*q = 2*q - 14, 7 = -5*z - p*q. Let v(i) = -2*i - 3. Calculate z*w(r) - 4*v(r).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from btcc. Give prob of picking 2 c and 1 b.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 370, 344, 272, 130, -106, -460?\nAnswer: -956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9127239774?\nAnswer: 2, 3, 29, 52455401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) be the third derivative of 7*s**5\/15 + s**4\/12 + 193*s**3\/3 + 398*s**2. What is the first derivative of a(z) wrt z?\nAnswer: 56*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -z + 4. Let b be 1\/(2 - 9\/4). What is the smallest common multiple of 20 and u(b)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h - 6 = -h. Suppose -4*d + 3*k - 64 = 0, -99*d - 80 = -94*d + 3*k. Let i be h + 4 + 0 - (d + 14). Solve -5*l = 0, 6 = 3*b - 0*b + i*l for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -48, -47, -46, -45?\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*u**3 - u + 6*u + 91 - 2*u - 3*u in the form f*u + d*u**2 + w + t*u**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) be the first derivative of i**2 + 16. Let q(l) = 51*l**2. Give q(t(m)).\nAnswer: 204*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + sqrt(612) + -3 + sqrt(612) + -3.\nAnswer: -8 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*s**3 + 0*s**3 + 2*s**3 + (2*s**2 + 0*s**2 + 0*s**2)*(-35*s + 33*s + 17*s) - 2*s**3 + 3*s**2 - 3*s**2.\nAnswer: 30*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -f**3 - 8*f**2 + 8*f + 4. Calculate u(-9).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in 1\/7, -0.02, -1280\/3, -4\/9?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hwwwhhwhwwwwwwhwwhw. What is prob of picking 3 w and 1 h?\nAnswer: 143\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -3500, -1875, -272, 1309, 2868, 4405?\n\"Answer: -11*f**2 + 1658*f - 5147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.01015235572 rounded to four decimal places?\nAnswer: -0.0102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (1 - 4\/1) + 1. Let r(o) = o**2 + 7*o - 43. Let h be r(-11). List the prime factors of ((-1)\/h - -17) + i.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 1 a when two letters picked without replacement from xjajosy.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*t + 2*n + 29, -10*t + 335 - 448 = -5*n - 208 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -7 + 84. What are the prime factors of w?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4024164 (base 8) in base 11?\nAnswer: 663656","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -16*u**3 + 4*u**2 + 4*u - 12. Let f(x) = -13*x**3 + 4*x**2 + 3*x - 9. Let l(k) = 4*f(k) - 3*v(k). Determine a so that l(a) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.581597 and -213.\nAnswer: -123.880161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1 - 4. Let h = -2\/191 - 565\/764. Sort 3, a, h.\nAnswer: a, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9*9\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4499, -4493, -4483, -4469, -4451, -4429, -4403?\nAnswer: -4373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -9 by 774.\nAnswer: -1\/86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 1 m when two letters picked without replacement from miuunbu.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 174493*d**3 + d**2 + 3*d**2 + 6 - 5*d - 174492*d**3. Suppose -4*z = -2*f + 7*f - 15, 0 = f + 3*z - 3. Suppose f*u - 6*u - 15 = 0. Determine p(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = p, 5*i - 1 = -p + 1. Let l = i + -1. Suppose d + 4*u - 14 = l, 2*d + 14 = 3*d - 4*u. Solve 2*o + 4 = d for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3428476ml in litres?\nAnswer: 0.0003428476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -32 + 10*y - 4*y**2 + 3*y**2 + 46. What is the remainder when 11 is divided by o(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-4)*f**(-32))\/(f**(-5\/4)\/f*f**34) assuming f is positive.\nAnswer: f**(-271\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4837204 or 4837198?\nAnswer: 4837198","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out 272 + -62713013.\nAnswer: -62712741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 12879?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 531891268?\nAnswer: 2, 173, 768629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2 - (6\/2 + 49130). Let c = -14812 - o. Suppose 0 = 3*a - c - 10681. Round a to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = w**2 - 13*w + 24. Let c = 77 + -60. What are the prime factors of o(c)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 48 - 32. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.1 and -1.59.\nAnswer: -0.159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 49378073 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 39\/16*56\/12 and ((-57)\/(-16))\/(108\/24).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 32 or -39\/11075?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 5, c: 3, m: 1, y: 6, n: 1, t: 1}. Give prob of picking 1 y, 1 t, and 1 i.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a = -a + 20. Let t = 7 - a. Suppose -3*i + 0*j + j = -73, t*i - 75 = 3*j. Does 9 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -620151 + 15?\nAnswer: -620133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 11 - 3 - -6 - (-90 - -17)?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-28)\/(-420)*-435*(-33)\/11.\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 1, 4, -206, -10488 in decreasing order.\nAnswer: 4, 1, -3, -206, -10488","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m\/(m\/m**(-5)))\/m*m*m*(m**(-3\/2)\/m)\/m*m*m*m)\/(m**(1\/4)\/m*m**(-1)) assuming m is positive.\nAnswer: m**(-11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 6, y: 2, f: 3, b: 4, n: 1}. Give prob of picking 2 r, 1 f, and 1 y.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.3, -17, 0.9, -1\/5?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 2*p**2 + 2*p + 3. Is 10 a factor of f(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 56.65675 nanoseconds to microseconds.\nAnswer: 0.05665675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2726351618?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 81 - 56. What are the prime factors of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16684008 + 16704612 = -204*j for j.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) be the third derivative of -p**8\/336 + p**7\/210 + p**6\/40 - p**5\/60 - p**4\/12 + p**2. Determine w so that c(w) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from oooooooug. What is prob of picking 1 g and 1 u?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 8 - 11. Let m be u\/12 + 33\/4. Suppose -7 - m = -5*s. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2 + 0 + 0)*(b + 3*b - 2*b) - 7*b - 3 + 3 - 2*b - 2*b + 3*b)*(1 - 1 + 2).\nAnswer: -24*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.2 - -0.2. Let f = g + 0.4. Suppose -7*p + 4 = -3*p. Is f at most p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2890, 2889, 2888, 2887, 2886, 2885?\nAnswer: 2884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/25 of a milligram in micrograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 11 - 11131?\nAnswer: -11120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -645721663 - 1364.\nAnswer: -645723027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 0, -2, 38, 3, -1, 35 in increasing order.\nAnswer: -3, -2, -1, 0, 3, 35, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:39 AM and 8:59 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -57 - -62. Suppose 5*m = -r*x + 29 + 71, 8 = -2*x. What is the third derivative of 5*u**2 - 486*u**4 + 234*u**4 + 230*u**4 + m*u**2 wrt u?\nAnswer: -528*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - 7 - 5 = 0. Let p(l) = l**2 - 5*l - 2. Let q be p(o). Let x be q\/(-2) - (1 - 11). What is the greatest common divisor of 12 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) be the second derivative of 3*i**2 + 3*i + 0 + 1\/20*i**5 + i**3 + 2\/3*i**4. What is g(-7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 1, z: 6, i: 3, m: 1, v: 1}. What is prob of picking 1 m and 2 i?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = x - 1. Let j(k) = k - 10. Let m(s) = j(s) + p(s). Let h be m(8). Put h, -1, -5 in descending order.\nAnswer: h, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 760, 1514, 2280, 3064, 3872?\n\"Answer: u**3 + 747*u + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -204 + 204.4. Let w = -22 - -24. Let q be (-3)\/(108\/15)*w. What is the second biggest value in k, q, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 838.871 grams?\nAnswer: 838871000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*a + 4*p - 8, 0 = 4*a + 4*p - 2*p - 16. Suppose 4*z = a*g - 6400002, -3*z - 2253700 = g + 2546299. What is z rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -p**3 - 4*p**2 + 2*p. Let f(v) = -v - 1. Let n(c) = 3*f(c) + g(c). Suppose -3*j - 64 = -4*u - j, -5*u + 5*j = -70. Let l = u - 22. Determine n(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-1\/3))**17\/(((g*g**4)\/g)\/g*g**(-8)) assuming g is positive.\nAnswer: g**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 216 and 270?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11011 + 1100100?\nAnswer: 1001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*v**4 - 22165*v**3 - 824331*v**2 wrt v.\nAnswer: -48*v - 132990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) be the third derivative of -s**7\/70 - s**5\/30 - s**3\/3 - 12*s**2. Let y(a) be the first derivative of j(a). Find the second derivative of y(o) wrt o.\nAnswer: -72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -97 + 100. What is the tens digit of 300 - (6\/s - (6 - 6))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*u - u + 654. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3036 and 39721?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 290374\/109 + -2664. Which is bigger: h or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 6 and 32449.\nAnswer: 194694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = 31*i**2 - 12. Let d(c) = 186*c**2 + c - 74. What is 2*d(m) - 13*l(m)?\nAnswer: -31*m**2 + 2*m + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0033531 rounded to 5 dps?\nAnswer: 0.00335","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 1928*v + 28917. Let g be d(-15). Let b(m) = -m. Let q(a) be the third derivative of a**5\/30 + a**4\/3 + a**2. Give g*b(h) - q(h).\nAnswer: -2*h**2 - 5*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 944327611 to the nearest integer?\nAnswer: 30730","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -54 - -91. Suppose -71 = -4*d + o. What is the second derivative of -22*r - 46*r**2 - 8*r + d*r**2 wrt r?\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1)\/2 - 38\/4. Is 5 a factor of 4\/(((-16)\/r)\/4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + y = 10, 0 = 8*i - 3*i - 3*y + 18. Let o be -2*(-69)\/(-30) - i\/1. Is -0.1 at most as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5340387188.\nAnswer: 2, 1335096797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -2*a**2 + 64*a + 3. Give p(32).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (91 - 86) + (1440\/8)\/(-5).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1019145683?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*q + 8*q = 0. Let v = q + 3. Solve -4*n + 1 = v*x + 6, -3*n - x - 10 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(304)*1*2 + 5 - (-1 + sqrt(304) + (sqrt(304) - (sqrt(304) + -1)) + -5)) + 4)**2.\nAnswer: 112*sqrt(19) + 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1210811 is divided by 642.\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2\/41  (b) -0.3  (c) 1\/2  (d) 4  (e) -2\/365\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 12463, 12465, 12467, 12469, 12471?\n\"Answer: 2*c + 12461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from uuubbuuuu?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*y + 0*y + 2*y)*(4*y - 2*y - 4*y) + 54*y**2 + 125*y**2 + 108*y**2 + (4 - 5 + 0)*(y**2 - 1 + 1).\nAnswer: 288*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 1, e: 4, t: 5, d: 3, n: 5}. What is prob of picking 1 t, 1 e, and 2 d?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**(11\/3)\/o**7*(o**27)**(-47) assuming o is positive.\nAnswer: o**(-3817\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-24)\/(-28))\/(620\/385 - 8\/44)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 177988303?\nAnswer: 177988303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*-1*(sqrt(245) + 3))**2 + (((-1*sqrt(600))\/sqrt(10))\/(sqrt(12) - (sqrt(132)\/sqrt(44) - sqrt(12))))**2.\nAnswer: 378*sqrt(5) + 20594\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) be the first derivative of 2*t**3\/3 - t + 26. Let c(f) = 3*f**2 - 2. Give 8*a(u) - 5*c(u).\nAnswer: u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 49 minutes after 3:30 PM?\nAnswer: 4:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = 4*w**2 - 2. Let z = -11 - -31. What is the least common multiple of t(-2) and z?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1231 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2149128 and 12996?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3*-0.0845.\nAnswer: 0.2535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -28632*t - 12683954. What is h(-443)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express -6 + 16 - 728*u - 12 + 4 - 423*u as n + g*u and give g.\nAnswer: -1151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 153426555 or 153426556?\nAnswer: 153426555","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -5*18*(-1024)\/2560\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*y + 7*y + 14 = 3*x + 8*y, 44*x - y = -84 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1.4*7443.\nAnswer: -10420.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -9 + 5. Let s be 12 + 3 + -1 + w. Let l(o) = -o**3 + 9*o**2 + 11*o - 5. Let t be l(s). Solve 2*i + 3 = 5*j, -2*i + 2 = 5*j - t for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1744692*v + 1575 = -1744617*v for v.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (8\/2 - 1)\/((-15)\/(-10)). What is the third derivative of -169 + 120 - p**f + 88 + 3*p**3 - p**5 wrt p?\nAnswer: -60*p**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -286, -183, -14, 221, 522?\n\"Answer: 33*o**2 + 4*o - 323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -12 (base 4) to base 3.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0 - -5. Let v(x) = -10 + m*x - 2 + 9. Let s(w) = 4*w - 2. Let u(h) = 6*s(h) - 4*v(h). Let n(p) = 2*p. What is n(u(g))?\nAnswer: 8*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -8311 - -12692. List the prime factors of x.\nAnswer: 13, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7137303036 divided by -6?\nAnswer: 1189550506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 8\/9393 and -91\/138300?\nAnswer: 433017300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + sqrt(55)\/(sqrt(11)*-5).\nAnswer: -sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 1\/6  (b) -10  (c) 1.5  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1095 and 4075590.\nAnswer: 1095","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 46.557 to 1 decimal place.\nAnswer: 46.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 26848 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 38\/208103 and 99\/392.\nAnswer: 1664824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-10 + 67408\/6740)*(-1)\/(-2). Let r = -1668\/28645 - t. What is the second smallest value in 2, -2, -3, r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = c**3 - 11*c**2 + 11*c + 4. What is q(10)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -68*s - 115*s + 5900495 = 1969655. What are the prime factors of s?\nAnswer: 2, 3, 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 4\/17, -4, -3, -167, -0.7, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 4820173 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -42943009*o**2 - 23653032*o.\nAnswer: -85886018","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 150, 4, 194, -3\/14, -0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 < 30\/4261?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 644\/(-207)*(-30)\/(-40)\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + 25 = -10. What is the remainder when 18 is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 + 3 = -2*i. Let d(f) = -2*f - 4. Let x(h) = -1. What is i*d(s) + 6*x(s)?\nAnswer: 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2546000.\nAnswer: 2, 5, 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 400 is divided by 80?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 159351 is divided by 158483.\nAnswer: 868","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 3200101300230 - -2?\nAnswer: 3200101300232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*k + 3*k - 7*k)*(-k + k + 3*k**2).\nAnswer: -18*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Work out 209 * -0.3337451.\nAnswer: -69.7527259","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (10\/(-20))\/(6\/4). Which is smaller: s or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = 4 + 54*n**3 + 8*n**2 + 13*n**2 - 24*n**2. List the prime factors of y(2).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1342701.4423 + 1342765. Let w = m + 0.0423. What is w rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 3*q + 31. Determine x(6).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 360 and 774?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 24, 4, 15, -4 in ascending order.\nAnswer: -4, 2, 4, 15, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + -1 + -2*sqrt(2299))**2.\nAnswer: 44*sqrt(19) + 9197","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -63 divided by -21.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 0 times -12422802\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -k**3 - 31*k**2 - 30*k + 1. Let f be l(-30). Suppose 3*g = -25 + f. Which is the second smallest value?  (a) g  (b) 0.11  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -126382.497 rounded to the nearest ten?\nAnswer: -126380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3308, -11380, -24832, -43664, -67876, -97468, -132440?\nAnswer: -172792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 42 - 70. Is 48\/((-36)\/c + 4\/(-14)) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -49, -0.5, -3, -761, 4, 464 in descending order.\nAnswer: 464, 4, -0.5, -3, -49, -761","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -3*k - 16. Let d be (3\/k)\/(1*3\/(-6)). Solve -3*n + 27 = 3*u, -2*n + 17 = -2*u + d*n for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of -4 + 19 + (-1 - 3) + 1 and 477?\nAnswer: 1908","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*b + 17*b - 55*b**3 - 12 - b + 12.\nAnswer: -55*b**3 + 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 8476 or 8477?\nAnswer: 8476","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-2\/31)*r**(-22))**42 assuming r is positive.\nAnswer: r**(-28728\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -30*h - 6 + 6 to the form k + q*h and give q.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 9}. What is prob of picking 3 k?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -74, -76, -78, -80, -82, -84?\n\"Answer: -2*o - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 151\/(22650\/420)*(-280)\/49?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -254*c + 254*c + 16*c**2. Let q(n) = -2*n**2. Determine q(u(s)).\nAnswer: -512*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*o + 2*o + 909861*o**3 - 2*o**2 + 3*o - 909789*o**3 - 3 in the form k + u*o + g*o**2 + b*o**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 590990 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 281460.\nAnswer: 2, 3, 5, 4691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + 6 + 0 = 5*p, p = 5*m - 8. Let f be ((-6)\/(-42))\/(m\/14). Solve 2*x - x + f = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(2) - sqrt(10)\/(sqrt(80) + sqrt(5)) - (2 + sqrt(18)) - (sqrt(264)\/(sqrt(12) - (sqrt(432) - sqrt(12)) - sqrt(12)))\/sqrt(11)) + -3)**2 + 2.\nAnswer: 20*sqrt(2) + 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5925, -46948, -158185, -374742, -731725, -1264240?\nAnswer: -2007393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2260120496 - -2260120626.0000103. Let x = 199 - 329. Let d = f + x. Round d to six dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 4 + 0 - (-124)\/(-32). Let g(p) be the second derivative of b*p**4 + 1\/6*p**3 + p + 1\/8*p**2 + 1\/20*p**5 + 1\/120*p**6 + 0. Solve g(r) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1829663687.\nAnswer: 25771, 70997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1\/6  (b) -5\/3  (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lctzlzfkclcfffl. What is prob of sequence czkl?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 102 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (60\/16)\/((-1)\/(24\/(-9))). Solve 0 = 3*z - v + 1 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 8 in -2, -4\/3, -1\/3, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 76258 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 604524.9 millilitres?\nAnswer: 604.5249","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 86265383?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-5)\/40*(4105\/375 - 11). Let u(z) be the second derivative of 0*z**2 + 0 - 33*z + 0*z**3 + i*z**5 + 0*z**4. Solve u(k) = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 9*p - 7296 + 7314 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 106 = 5*t + 11. Let n be 44\/2 + (-10 - -7). Calculate the highest common factor of n and t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) be the third derivative of 0 + 0*b - 1\/60*b**5 + 2*b**2 + 1\/4*b**4 - 5\/6*b**3. Determine g, given that l(g) = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 413784 rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*q**2 - 2*q**2 - 4*q**2)*(1 - 4 + 2) + 2*q**2 - 6*q**2 - 6*q**2 - 45*q**2 - 49*q**2 + 19*q**2.\nAnswer: -83*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -119*q**2 - 2*q + 3. Let d be c(1). Let n = 123 + d. Solve 3*k + 2*w = 5*k - 6, -n*k = 5*w + 15 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -7457282, -14914575, -22371856, -29829119, -37286358, -44743567?\nAnswer: -52200740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 50*x - 580. Calculate d(2).\nAnswer: -480","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 7 + -6. Let t(d) = 5*d + 2*d - 8*d - m. Let l be t(-2). Solve 4*r + 0 = -5*p - l, 3*r = 3*p - 21 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = g**3 + 5*g**2 - 6*g - 2. Let m be z(-6). Let d be (-72)\/30*15\/m. What is the greatest common divisor of 9 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*z + 2*z - 2*z)*(1 - 1 - z**2) + (20*z**2 + 27 - 27)*(-z - 3*z + 5*z).\nAnswer: 17*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + sqrt(54)\/sqrt(3).\nAnswer: 2 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1118 + -1106. Calculate the remainder when d is divided by 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15193?\nAnswer: 15193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tetteeztttteeeeezz. Give prob of picking 1 z and 2 e.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 3012347 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -759b - 5?\nAnswer: -75a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -665436905 and -0.03?\nAnswer: 665436904.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 209070500 to the power of 1\/3, to the nearest integer?\nAnswer: 594","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -l**2 - 45*l - 324. Let d be g(-9). Solve 5*k - 83 + 103 = d, -2*k = c + 3 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u = 24 + 48. Let a be (-38 - -28)*((-2)\/(-4) - 1). Calculate the remainder when 1257\/18 - a\/(-30) is divided by u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v + 200 = -2*r - 717, 370 = -2*v - 4*r. Let a = 476 - v. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -28*w - 51. Let h be z(-2). Calculate the greatest common divisor of h and 165.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 3*i**2. Let p(m) = 210*m + 20731 - 20731. Determine p(f(w)).\nAnswer: 630*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/(-3))\/(-4*7\/168).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -11*v + 51. Let h be t(6). Let q(u) = 12*u + 48. Let x be q(h). Let n = x - -156. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1574?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1045 + 1049. Put n, 5\/36, -3\/2 in decreasing order.\nAnswer: n, 5\/36, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4470793667 - 66078330432991\/14780. Let j = f - 1\/7390. What is the common denominator of j and -17\/2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-5)\/51)\/((-906345)\/40282)\nAnswer: 2\/459","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -2*n**2 + 3*n + 95. What is i(-11)?\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 226 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 24913 and 2032189?\nAnswer: 14225323","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r = 11*r - 105. Let c(t) = 10*t + 4 - t**2 + r - 16. Suppose -5*h = 10, -8 = -2*o + 4*h + 14. Give c(o).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 93, 199, 285, 345, 373?\nAnswer: 363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + 16 + -11 - (-13 + 47)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -r - 3*r + 12. Let d be (8 + r)*10 - 0. Find the third derivative of 110*m**4 + 2*m**2 + 5*m**5 - d*m**4 wrt m.\nAnswer: 300*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/7?  (a) -1  (b) -2\/7  (c) 2\/9  (d) 0.146\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*b + 26 + 1 = 0. Suppose -9 + 0 = -3*c, -5*c = -3*l + b. Suppose -t = l - 44. What is the remainder when t is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -15 divided by -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 1819819 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 635.9533cm to kilometers.\nAnswer: 0.006359533","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -j**2 - 494*j + 4. Let g(h) = h**2 + 990*h - 7. Calculate 3*g(a) + 5*n(a).\nAnswer: -2*a**2 + 500*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 766, 735, 702, 667, 630, 591?\nAnswer: 550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of ((-3)\/(-2))\/((-252)\/(-116592))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -116427785 minus 0.3?\nAnswer: -116427785.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -3 times 108\nAnswer: -324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1 - 1.5. Let w = h - -0.58. Let i = 14.7 + -14.6. Is w at least as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = b**3 - 2*b**2 - b - 2. Let q be 5*2\/4*(-84)\/(-35). Let x be -3*((-2)\/4)\/(q\/8). Calculate v(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = 4*x**2 + 1141*x**3 - 1140*x**3 - x - 5*x - 11. What is a(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7652.\nAnswer: 2, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.1 + 8188.\nAnswer: 8189.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -2*q**2 + 17*q + 13. Let b be n(9). Suppose -2*l + 52 = 4*t, b*t - 3*t + 5 = 0. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2, -1226, 1, 3\/5, 0.15?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 19 + -19. Suppose 2*k - 153 = -5*y, 5*y = k - v*k - 99. List the prime factors of k.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24438*p**2 - p - 6374 + 6374 - 3901*p**2 + 3*p.\nAnswer: -28339*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (51 - -8121) + (2 + 1)*-1?\nAnswer: 3, 7, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -198*b - 1. Suppose 3*o = o, -3*v - o - 6 = 0. Let j be d(v). Suppose 3*k + 2*k = j. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 18, 223, 776, 1851, 3622, 6263, 9948, 14851?\nAnswer: 21146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1020*v - 534*v + 679*v)*(v**2 + 0*v**2 + 0*v**2)*(7 + 3 + 1 - 7).\nAnswer: 4660*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*l + 9 = -r, 991 - 998 = 3*r + l for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/(-15)*((-5046)\/261)\/(203\/(-42))?\nAnswer: 16\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2062*b + 1530 wrt b.\nAnswer: 2062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (2\/(-5))\/(11\/(-5)). Suppose 88*h - 3*g = 92*h - 26, h - 15 = -5*g. Let u = -227\/876 - -2\/219. Which is the closest to u?  (a) h  (b) w  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 6*(-4)\/(-9) + (-3)\/(-9). Is 1 >= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1, 2, -0.003, 2\/7, 0.2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) be the second derivative of -u**4\/12 - 7*u**3\/6 + 176*u. Calculate g(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -l**4 + 2809448*l**3 - 96*l - 3293 wrt l?\nAnswer: -12*l**2 + 16856688*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3582 - 1580. What is the hundreds digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or 1427?\nAnswer: 1427","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -11455 - 1504?\nAnswer: -13403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -5 - -8. Let y(s) = 11*s + 1. Let a be y(-1). Let z be (-18)\/15 + (-2)\/a. What is the second smallest value in -2, f, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2 times -423?\nAnswer: -84.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = 3*m - 3. Suppose 4*z - 2*d = -5*d + 12, 0 = 2*d. Let a(w) = -w + 1. Let y(x) = 7*x - 7. Let j(c) = z*a(c) + y(c). Determine -4*j(g) + 5*q(g).\nAnswer: -g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-30)\/6*((-9)\/(-15) - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) be the third derivative of c**6\/30 - 7*c**4\/24 + 4*c**2. Find the second derivative of r(i) wrt i.\nAnswer: 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16157 is divided by 491.\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -0.3*15.55\nAnswer: -4.665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = 2*w + 4. Let l be i(-6). Let o = 9 + l. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((4 + 5 + 14)*(3*i - 2*i + 0*i) - 16*i - 8*i + 8*i)*(5 - 5 - 5*i).\nAnswer: -35*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = 2*n**2 + 51*n - 4. Give g(-25).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4710 is divided by 152?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) be the first derivative of 6\/11*s + 3 - 2\/33*s**3 + 2\/11*s**2. Suppose w(u) = 0. Calculate u.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:26 AM and 10:08 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express -34 + 11 + 5 - 183*c + 6 + 499*c in the form k*c + f and give k.\nAnswer: 316","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*i - 2*h = -5, 4*i = 5*i + 2*h + 7 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fbb when three letters picked without replacement from fbbbbbbfbbf?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 161738887 is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 6*z**3 - 816*z**2 + 29*z - 3945. What is s(136)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -8209, -16414, -24607, -32782, -40933?\n\"Answer: s**3 - 8212*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-15)\/(-12))\/(2\/(-8)). Let b(a) = a**3 + 4*a**2 - 5*a + 4. Let f be b(s). Solve -4*r + 2 = -2*i, -8*i + f*i + 20 = 4*r for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2\/77, 4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-11)\/4 + 5)\/(45\/10). Let w = 23758\/33 - 720. Which is the third biggest value?  (a) w  (b) 1\/12  (c) -5  (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2269, -3317, -4365, -5413, -6461?\nAnswer: -7509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = 54*o**2 - 4*o + 58. What is the thousands digit of y(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 229 + -228.961. Let f = a - -0.447. What is f rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*s + 23*s**4 + 16*s**3 + 199 + 21*s**3 - 37*s**3 with respect to s.\nAnswer: 92*s**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vi when two letters picked without replacement from liv.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 10*a**2 + 15*a. Let c(j) = 3*j**2 - j - 3. Determine 2*c(z) - 2*h(z).\nAnswer: -14*z**2 - 32*z - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = 7*o + 39. What is d(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) be the third derivative of 5\/24*h**4 - 2\/3*h**3 + 2*h**2 - 1\/60*h**5 + 0*h + 0. Give d(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2\/15 - 1\/30. Let z(y) = -4*y**2 - 5*y. Let m(w) = 3*w**2 + 3*w. Let p(x) = -7*m(x) - 5*z(x). Let o be p(4). Which is greater: n or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 33530 is divided by 81?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 100 (base 2) to base 14\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 80163 and 432.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*x - 3*c - 9, 11*x - 2*c = 8*x + 7. Factor -3\/8*a**5 + 0 + 0*a**2 - 3\/4*a**4 + 0*a - 3\/8*a**x.\nAnswer: -3*a**3*(a + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 118935 and 317160.\nAnswer: 951480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -1a (base 14) to base 7\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2 - 4\/6*-3. Let s be (o\/(-6))\/((-2)\/12). Factor 2*y**5 + s*y - 4*y.\nAnswer: 2*y**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4254485?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -38.3716 - -30.372. Let u = g + 8. What is u rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 67, 4, -213, -135 in descending order.\nAnswer: 67, 4, -2, -135, -213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p*p**(-1\/10))**(-8\/3))**(4\/19) assuming p is positive.\nAnswer: p**(-48\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -8 - -12. Suppose 0 = u*h - 2 - 14. Let f(s) = 4*s + 29 - h*s - 28 - 3*s. Give f(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -300378, -600764, -901150?\nAnswer: -1201536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.04461 + 0.14461. Which is the closest to 2?  (a) h  (b) 5\/7  (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*d**2 + 2*d**2 + 55*d + 68*d.\nAnswer: 8*d**2 + 123*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 56\/(-6)*9\/54*-153?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2333 - -203?\nAnswer: -2130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 2, z: 10}. Give prob of picking 2 z.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Add -25123.151 and 0.08.\nAnswer: -25123.071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 3196001 to the power of 1\/2, to the nearest integer?\nAnswer: 1788","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -60 + 60. Let w be (-26)\/(-65)*10\/8. Suppose 0*i**2 + 1\/2*i + x - w*i**3 = 0. Calculate i.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -19\/35182 and 93\/490.\nAnswer: 175910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 2662022?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 88 - -76.4. Let f = u + -164. Which is the third smallest value?  (a) -1  (b) 2\/37  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.92 - 0.52. Let r = -1648 - -9911\/6. Sort o, -0.2, r in ascending order.\nAnswer: -0.2, o, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r = 2*r + 73490. Let y = r - -41898. Let q be (y\/6)\/(3\/(-45)). What is q rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find h such that 2*h**2\/3 + 16*h + 88\/3 = 0.\nAnswer: -22, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -3*i + 457763. Let w(m) = 4*m**2. Calculate n(w(s)).\nAnswer: -12*s**2 + 457763","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2\/5  (b) 6\/7  (c) 0.5  (d) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -457*y. Let a(l) = 221*l + 2. Give a(s(g)).\nAnswer: -100997*g + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*s**2 - 2*s**2 + 3*s**2 + (55*s - 16*s - 14*s)*(-3 - 3*s + 3).\nAnswer: -80*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 26 - 12. Let m = t - 13. Let c = m + 5. Solve -3*s - 12 = -c*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -d - o - 20, -d + 25*o + 165 = -231 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 492 divided by 3?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-4346)\/159)\/41)\/(3\/9 - 16\/44)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-189)\/14 + 0\/(-1). Suppose -2*h - 14 - 6 = 2*p, -50 = 2*p - 4*h. Is o at least as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k = 49435 - 12470. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3391 is divided by ((-3)\/24)\/(4173\/696 - 6).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1481457?\nAnswer: 3, 167, 2957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 11\/(396\/567) - (3 + 6 - -4).\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 21 + -29. Let d be ((-6)\/8)\/(2\/h). Suppose d*k - 6 = -0*k. Solve 1 = 2*n - 4*g + 3*g, -4*g - 4 = k*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 divided by 91343661.\nAnswer: 4\/91343661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 195 = 4*b - 541. Let l = 344 - b. What is l rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 663.3094cm?\nAnswer: 6633094000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -46  (b) 15\/11  (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 (base 3) in base 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -635*f + 498 - 4841 = -24028 for f.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-12)\/(-42) - 1032\/(-14). Find the second derivative of 4*d**3 - 4*d**3 - g*d - 14*d**4 + 67*d wrt d.\nAnswer: -168*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4 times 46451586?\nAnswer: 18580634.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor -b**2 + 51483480*b - 662637178227600.\nAnswer: -(b - 25741740)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -2*f - 11. Let u be b(-9). Let g = -3 + u. Let q be 2\/(-60)*-3*g. Is q smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1358.872 decades in months?\nAnswer: 163064.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1933, 1952, 1985, 2038, 2117, 2228, 2377, 2570?\nAnswer: 2813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 38944620?\nAnswer: 2, 3, 5, 11, 13, 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-1029)\/402 + (-1)\/(-1). Let t = b + 4\/67. Let l be (-1)\/3 + (-4)\/(-18). What is the nearest to 0.1 in l, -2, t?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 divided by 26410.\nAnswer: 3\/26410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1095 is divided by 395.\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p, 1 l, and 1 k when three letters picked without replacement from pwklwwkwlkkkwlkww.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 62 and 124.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -27 + -72 + (-61704)\/(-624).\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q + q + 3*v - 867 = 0, q = 3*v + 281. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1\/33904 - -3284449\/33904. Let z = y - 5169\/56. Find the common denominator of 50\/37 and z.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11022 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2\/11*k + 0*k**2 + 2\/11*k**3 - 1\/11*k**4 + 1\/11.\nAnswer: -(k - 1)**3*(k + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -93 - -88. Sort -1, n, 1 in ascending order.\nAnswer: n, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 29 divide 1508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 6, -33, -146, -369, -738, -1289?\nAnswer: -2058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -730 + -154?\nAnswer: -1104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*i - 19*i + 1140. Calculate the highest common divisor of i and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1474144 rounded to three decimal places?\nAnswer: 0.147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 617 minutes before 10:17 PM?\nAnswer: 12:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -4, 19 in increasing order.\nAnswer: -4, 2, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (3\/1 + -2)\/((-5)\/(-40)). Let s(f) = -9*f - 3. Let a(d) = 3*d + 1. Give g*a(n) + 3*s(n).\nAnswer: -3*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/3?  (a) -1  (b) -2\/11309  (c) 31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -954*i**4 + 33*i**3 + 607*i**2 + 79216793.\nAnswer: -3816*i**3 + 99*i**2 + 1214*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (11*y - 6*y + 5*y)*(-3*y**3 + y**3 + 3*y**3) + 3*y**4 + 0*y**4 + 2*y**4 + y**3 - y**3 - 2*y**4.\nAnswer: 13*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 297 and 363.\nAnswer: 3267","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (255\/21 - 4) + -6 - (-2)\/(-14). Solve -2*f - 2*a = -8, 5*f = g*a + 8 + 5 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 9, 4, 1, -18, -5041 in increasing order.\nAnswer: -5041, -18, 1, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hhffzhzjzhl. Give prob of sequence ffzl.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**2*o*o**(2\/15)\/o)\/(o**(-3))**(-40))**15 assuming o is positive.\nAnswer: o**(-1768)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 smaller than 1\/33614?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 73 is divided by (38\/5)\/((-12)\/(-30))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 0, 4, 1, 2\/17?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 217 + -132. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -6*g**3 - 3*g**2 + 4*g + 4. Let w(n) = -n**3 + n + 1. Let p = -335 - -339. Calculate p*w(x) - j(x).\nAnswer: 2*x**3 + 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (41\/82)\/(21\/(-10) + 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g**3\/4 - 47*g**2 + 119*g - 40 = 0. Calculate g.\nAnswer: -40, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.1 * 62.\nAnswer: 6.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*t = -j, t - 37*j = -38*j + 9 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.3*3.\nAnswer: 3.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 101*(-2)\/(1 - 3). Let g = h + -98. Suppose 0 = -0*p - g*p - 4*s - 6, -4*p - 8 = -2*s. What is the second smallest value in 2\/9, 4, p?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6 (base 10) to base 15\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Add together -332526507648 and 0.0103.\nAnswer: -332526507647.9897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.7 - 0.3. Let p = -4.195 - -0.195. What is the third biggest value in p, 5, w?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 1, r: 2, h: 3, l: 3, d: 4, w: 6}. What is prob of picking 1 h, 2 r, and 1 d?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x - 5*x - 382 = -3*k, 5*k - 226 = 3*x. Let a be 413\/x - 4\/(-11). Let f(t) = 3*t + 9. Give f(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is d in d**3\/4 - 69*d**2\/4 - 765*d\/4 - 1975\/4 = 0?\nAnswer: -5, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1395 by -465.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -0.3  (b) 19\/7  (c) 3.18  (d) 2  (e) -1\/18\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -100010111101100 (base 2) to base 12.\nAnswer: -a438","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h = -4*z + 58, -5*z + 23 = -2*h + 3*h. Solve -5*t = 2*u - h, -7 = -t - 2*t - 5*u for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + -4*sqrt(15)\/sqrt(3))*3*-4.\nAnswer: 48 + 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -2*y**3 + 7*y**2 + 12*y + 26. Let z be h(5). Which is the nearest to 3\/11?  (a) 5  (b) z  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -u - 9. Let f be z(3). What is the tens digit of 18*(-8)\/f*(-51)\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -115 = -4*d - d. Let b be (-8)\/(-20) + d\/5. Suppose n = 3*h + b, -h + n + 1 = -4*h. What is the second biggest value in -0.3, 3, h?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 + (-4 - -2) + 192 + -3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = v**3 + 6*v**2 - 7*v - 3. What is m(-7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (15\/(-6))\/(3*1\/(-6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -745 + 1252. Does 47 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*c = -3*j - 11*c - 12, 3*c + 7 = -2*j. Let h be (-10*(2 + -1))\/(-3). Is j equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00336 to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 3 = -4*o + 38, -o - 5*b - 20 = 0. Calculate the highest common divisor of 80 and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -15 + -23?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of d**3*j**2 + 58861*d**2 - 1927*d*j**2 + d - 2*j**2 - 2 wrt d?\nAnswer: 6*d*j**2 + 117722","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 64.139594 - -2?\nAnswer: 66.139594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t - 30 = 3*t. Is t\/2 - 602\/(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 5481.679 decades?\nAnswer: 657801.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 603457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) be the third derivative of 3*k**7\/560 + 53*k**6\/160 + 15*k**5\/8 + 147*k**4\/32 + 97*k**3\/16 + k**2 + 471*k. Solve s(g) = 0.\nAnswer: -97\/3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 1, -4, -0.06, 3\/13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 50*z**2 + 56*z**2 - 153*z**2 + 52*z**2.\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-9\/4))**(-1\/67) assuming j is positive.\nAnswer: j**(9\/268)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 12 and 46164.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -147 - -246. Does 11 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 30 divide 1360462985?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1388*d - 286 = -1410*d for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.038, 1\/2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 12 - 29. Let i = o - -13. Which is the biggest value?  (a) -0.1  (b) 5  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -v**2 + 2. Let j be w(2). Let t = j - 1. Suppose -n = 76 - 83. Sort t, n, 1.\nAnswer: t, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 times 0.47479\nAnswer: -0.94958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*j + 23*j + 36 = 0. Let f be ((-18)\/j)\/(2\/(-8)). List the prime factors of (5 - -1)*(-4)\/f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (3\/4)\/((-3)\/(-2)). Let d(b) = b**2 - 7*b. Let p be d(7). Suppose y + 4 = p, 3*i - 2 = -y + 9. Put -0.2, h, i in descending order.\nAnswer: i, h, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4191 divided by 1397?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 - -10 - (-21 - -8 - -22).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = 2*d**2 - 2. Suppose -5*a + 0*a - 10 = 0. Let g be w(a). Suppose 0*i = g*i - 108. Calculate the remainder when 70 is divided by i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 153800 and 1600?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 271*l**2*s**2*w**2 + 15*l**2*s*w - 11098*l*s**2*w + 4538*l*s*w**2 - s**2*w + 4*s wrt w?\nAnswer: 542*l**2*s**2 + 9076*l*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 190 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m - 2*a = 35, 0 = -a + 3*a. Let q(o) be the second derivative of -7*o**3\/3 - o**2\/2 - o. Let d be q(m). What is d rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14218042?\nAnswer: 2, 19, 374159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c*c**(-8))\/((c**(1\/2)\/c)\/c))**(-3\/26) assuming c is positive.\nAnswer: c**(33\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -145*d - 54 = -136*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 5526003 and 15456?\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) be the second derivative of -3*g + 0*g**2 - 1\/18*g**4 + 7\/180*g**6 - 1\/10*g**5 + 0*g**3 + 0. Factor z(b).\nAnswer: b**2*(b - 2)*(7*b + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -2*y**2 - 7*y - 17. Let c be w(-7). What is the least common multiple of (8\/(-6))\/(44\/c) and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 1\/6*264\/40 and ((-33)\/(-6))\/((-6)\/20)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00012834541 rounded to 5 dps?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 21781504 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -7*g**2 - 26*g - 10. Let k(o) = -7*o**2 - 9 - 4*o**2 - 27*o + 6*o**2 - o**2. Let w(s) = -2*j(s) + 3*k(s). Solve w(c) = 0.\nAnswer: -7, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 9727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*s + 12*s + 4*s)*(1 - 1 - 2*s)*(-99 - 103 + 208) to k*s + z*s**2 + x and give z.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 578, 12, -13, 5 in decreasing order.\nAnswer: 578, 12, 5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 63*c - 33*c = 32*c + 8, 5*p + 5*c = 275 for p.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 514?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = h**2 + 16*h - 53. Calculate the remainder when y(8) is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1442 and 198351014?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 16 + -1 + -341 + 296?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h = -16 - 26. Let j(k) be the first derivative of k**3\/3 + 6*k**2 - 22*k - 263. Let p be j(h). Solve 0 = 2*s - z + p*z + 19, -5*s = -5*z - 5 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) be the second derivative of -v**5\/10 - 3*v**4\/2 + 9*v**3\/2 - 14*v**2 + 30*v. Is t(-21) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -350017 and 0.3.\nAnswer: -105005.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2111122 + -1?\nAnswer: 2111121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -12, 15, -0.2, 6.09 in decreasing order.\nAnswer: 15, 6.09, -0.2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 263288.\nAnswer: 2, 32911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -a + 36. Let s be p(15). Let c = 31 - s. Suppose -167 = -3*n + 5*l, -2*n - 2*l - l = -105. What is the remainder when n is divided by c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (q - q - 3*q**2)*(-q**3 + 3*q**3 + 2*q**3) + 15*q**5 - 14*q**5 - 47*q**5.\nAnswer: -58*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1155 by -105.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -g - 268 + 268 - g + 0*g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-12)\/5)\/(-3*3\/1440). Let s = -6526\/17 + k. What is j in -2\/17*j + s*j**2 - 4\/17 = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1001000000 + 11011111111011101?\nAnswer: 11100001000011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-9)\/(-6) - 42\/20. Which is smaller: -2 or t?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g\/(g*g**7*g))\/g)**(1\/12) assuming g is positive.\nAnswer: g**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 84 - 31. Let f(q) = -q - 2. Let b be f(-4). Suppose 0 = b*u - 0*u - 36. Calculate the remainder when l is divided by u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-6)\/28*(-6)\/(-9). Let h = -0.5 + 0.4. Is k smaller than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.006 rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 30171*q - 1678 wrt q.\nAnswer: 30171","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -246*i**2 - 1 + 1 - 238*i**2 + 485*i**2.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -9.1 + 1.3. Let t = -7.7 - f. What is the fourth biggest value in -4, 6, -3\/4, t?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 266 is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = r**3 + 6*r**2 - 4*r. Let k be x(-6). Let c = -335 - -231. Let o = -81 - c. Which is smaller: k or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = s**2 - 22*s - 48. Let g = -269 + 293. Let j be v(g). Solve -2*q - 2*q + 8 = j for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 81061282?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 846 divide 884991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6572145 is divided by 6572135?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 656*r**2 - 1982*r - 214*r**2 - 207*r**2 - 236*r**2 to p*r**2 + d + j*r and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -8*z**4 - 28*z**3 - 244*z**2 - 10702740 with respect to z.\nAnswer: -32*z**3 - 84*z**2 - 488*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**0)**23*c**(5\/6)\/(c**(3\/13)*c) assuming c is positive.\nAnswer: c**(-31\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.6104 + 30.9796. What is y rounded to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-9)\/((-36)\/(-17600000)) + 0. Round y to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1200)\/550)\/12*(-660)\/3?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 166 minutes after 6:45 PM?\nAnswer: 9:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -3*v**2 - 11*v + 5. Let y(h) = 2*h**2 + 12*h - 4. Let b(k) = 4*i(k) + 3*y(k). Let s(g) = -2*g**2 - 3*g + 3. Give -3*b(r) + 8*s(r).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.4, 1\/5, -9, -24\/169?\nAnswer: -24\/169","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4\/(-6)*171\/(-133)*7.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -75.75 rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Product of -553.6 and -0.3.\nAnswer: 166.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1772, -3012, -4160, -5216, -6180, -7052?\nAnswer: -7832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 16 = 3*o. Suppose -o*s = -4*l - 12, s - 8 = -s + 4*l. Suppose -g + 3 = n, 4*g + s*n - 8 = g. What is the remainder when 8 is divided by g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 135 divide 11288295?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = k**2 + 4*k - 4. Let c be j(-6). Let g be (-4)\/c*(-10)\/1. Solve -s + g*s - 8 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 125935 divided by -5034\nAnswer: -125935\/5034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 2*s = -2*f + 12, -5*s = -10. Let g = -0.05 + -1.95. What is the second biggest value in -4, g, f?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1091001?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 - (0 + 2 + 2 + -6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -410, -298, -196, -110, -46, -10?\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0, -148, -1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 265527 and 16137.\nAnswer: 1467","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2044365015 to the power of 1\/2, to the nearest integer?\nAnswer: 45215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -22, 46, 0 in ascending order.\nAnswer: -22, 0, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 9\/(-6)*(-16)\/(-12)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8\/6 + -1*(-133)\/(-21)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 144\/384*2\/3.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m**5\/4 - 9*m**4\/2 - m**3\/4 + 9*m**2\/2 = 0. Calculate m.\nAnswer: -1, 0, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -w + 7 = 2*b, -41*w - 1 = b - 36*w for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from fpipimiiipim. Give prob of picking 1 p, 2 m, and 1 i.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 - 3 + 2)*(-k**2 + 2*k**2 - 4*k**2 + (2*k - k + k)*(-5*k + 9*k - 9*k)) to the form u + v*k + l*k**2 and give l.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 9697.1 + -9613. Sort -5, n, 4.\nAnswer: -5, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -u**3 + u**2 + u + 2. Let r(z) = 12*z**3 - 44*z**2 + 7*z - 14. Let k(i) = -21*m(i) - 3*r(i). Factor k(o).\nAnswer: -3*o*(o - 7)*(5*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(-11)*o**(-7)*o*o)\/((o*(o\/(o\/o**(1\/10)))\/o)\/(o*o**(-2\/3))))**(-3\/20) assuming o is positive.\nAnswer: o**(473\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 10 and 9368210?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Product of 270868 and -31.7.\nAnswer: -8586515.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-476)\/63 - 3344\/1368 - -1*(-21)\/(-9).\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 606890 or 606232?\nAnswer: 606232","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = x + 3. What is the units digit of q(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -46 + 62. What is the remainder when 62 is divided by o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 7*g*r**2 + 30*g*r - 2*r**4 + 7*r**2 + 6*r wrt r?\nAnswer: 14*g - 24*r**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1197196.\nAnswer: 2, 7, 11, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 = 2*d + y, -9*d = -14*d - 4*y - 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-27)\/78*14 + (-2)\/13. Let v(c) = -2*c**2 - 4*c + 4. Let z(k) be the second derivative of k**4\/6 + 5*k**3\/6 - 5*k**2\/2 - 86*k. Give y*z(x) - 6*v(x).\nAnswer: 2*x**2 - x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 13512 and 501096.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -56*q - 1562 = 29*q - 14*q for q.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1786562099 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -4*t**3 + 108*t**2 + 357*t + 77. Give m(30).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 256, 435, 604, 757, 888, 991?\n\"Answer: -k**3 + k**2 + 183*k + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23*c + 31 = -8*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = c**2 + 12. Let k be -148*((-2)\/(-1))\/4. Let f = 74 + k. Calculate j(f).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = t**3 - t. Let g(k) = -48*k**3 + 56*k. Calculate -2*g(y) - 112*p(y).\nAnswer: -16*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -65 + 83. Let h = -23 + y. Let p = -5 + 10. What is the closest to -3 in 2\/7, p, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.2 and 46.0847143211?\nAnswer: 46.2847143211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + -3*(-4 + 4*(1*sqrt(720) - sqrt(720)) + -2)**2.\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5*(32\/(-896))\/(((-27)\/(-180))\/((-6)\/5)).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p = -2*i + 26 + 8, 5*p = 0. What is the lowest common multiple of i and 5?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 29892 + -29892.060105. Let u = x + 0.0586. What is u rounded to 4 dps?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (76\/(-38))\/(3*66\/(-27)).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cs when two letters picked without replacement from vcvvs.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 653827 to the power of 1\/3, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.2 - 12436732.\nAnswer: -12436732.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find t such that -22\/7*t**2 - 2\/7*t**3 - 20\/7*t + 0 = 0.\nAnswer: -10, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -37\/4 != 2334?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 4 + 6)*(-2*m**2 - m**2 + m**2) + (-m - 4*m + 2*m)*(3 - 5 + 0)*(-m + 18*m + 4*m).\nAnswer: 128*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mmmvmvmmvmm. Give prob of picking 1 m and 2 v.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -70.5 + -530.5. Let c = z - -600.946. Round c to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*q**2 - 4 - 12*q**2 + 5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-z**2 - 2*z**2 + 8*z**2)*(z**3 - z**3 + z**3).\nAnswer: 5*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 230389405.\nAnswer: 5, 89, 517729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -40430777, -40430765, -40430739, -40430693, -40430621, -40430517, -40430375, -40430189?\n\"Answer: y**3 + y**2 + 2*y - 40430781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 95 - 39. What is the remainder when d is divided by 32?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -47*w**3 - 2*w**2 + 18*w + 37. Calculate h(-2).\nAnswer: 369","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(40) + (sqrt(4840) - sqrt(4840)*1))\/(sqrt(8)*1*5) - (sqrt(50)\/(-6*sqrt(160)) + 3))**2*1.\nAnswer: -29*sqrt(5)\/20 + 26761\/2880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 241101?  (a) 0  (b) -2\/5  (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 10275360283 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in -0.03, -4, -12\/299?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5227*n**2 - 5225*n**2 + 15677*n**2 - 5237*n**2.\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 2\/13, 4, 0.5, -0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**7*y*y\/(((y*y**(-7))\/y)\/y))**(-1\/26))**(-37) assuming y is positive.\nAnswer: y**(629\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 459307 + -82105.8.\nAnswer: 377201.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*q + 9*q = 6. Let c(l) = 4*l + 33. What is the lowest common multiple of c(0) and q?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + 2*i + 45 = 0. Let s = -9 + i. Solve 0 = 3*q - 3 + s for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2249*u + 637*u + 200687 = 375*u for u.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 93 divide 601937010?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express (n**2 + 2*n + 2*n**2 - 27*n**2)*(2*n**2 - 8 + 1 - 1) as q*n**4 + f*n + h + w*n**2 + i*n**3 and give w.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4962.944l to millilitres.\nAnswer: 4962944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 2\/1040*2*(-38)\/(-4)*25 and -13\/140.\nAnswer: 3640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express ((0*u + 3*u - 5*u)*(-3 + 3 - 1) - 3 + 3 - u)*(0*u - u + 0*u) as s*u**2 + m + w*u and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 12099\/1370 - 18\/137. What is the common denominator of z and 67\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3502133 (base 6) to base 4\nAnswer: -223302021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -5*u - 27. What is the tens digit of r(-13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-3)\/9 - 1\/(-4). Which is bigger: 0 or o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2 and ((-3)\/(-6))\/((-3)\/(-24))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -1542581539 and 45755.\nAnswer: -1542535784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 703748765*q**2*z**2 + 83*q*z**2 - 2*q*z + 99741*z**2 wrt q.\nAnswer: 1407497530*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 10 - 17. Let z be (64\/6)\/(1\/3). Let c(v) = -1 - 7*v + z*v**3 - 2 - 29*v**3 + 7*v**2. Let y(a) = -2*a**3 - 5*a**2 + 5*a + 2. Give p*y(j) - 5*c(j).\nAnswer: -j**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 9.9 + -6.2. Let h = -30 - -26. Let f = n + h. Which is the second smallest value?  (a) -4  (b) 1\/4  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = 2*r**2. Let g(p) = -14*p + 8. Let v = -36 + 37. Let m(s) = 0 + 2 + 2 - 3. Let f(b) = v*g(b) - 8*m(b). Give f(o(q)).\nAnswer: -28*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 15618 and 1918?\nAnswer: 109326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 7*w - 7. Let j(g) = 112*g - 112. Let t(r) = -63*f(r) + 4*j(r). Is t(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-185658)\/7469)\/(58\/(-42))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 6940 - 5680. What is the smallest common multiple of 72 and k?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 11 + (0\/1)\/(-1). Suppose 5*g - t = 7, 6*g - 3*t - f = g. Calculate the highest common factor of g and 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) be the first derivative of 4*q**3\/3 - 1. Let s(d) be the third derivative of -d**5\/30 + 2*d**2 + 168*d. Give s(c(x)).\nAnswer: -32*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) be the second derivative of -j**6\/720 - j**4\/12 + 3*j. Let c(a) be the third derivative of z(a). Let b(t) = -7 - 8 + 3*t**2 + 15. Determine c(b(f)).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.06*934502.\nAnswer: 56070.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 divided by 2377013.\nAnswer: 2\/2377013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Are 0.184223 and -2\/7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -11352 - -11554. What is the remainder when 637 is divided by l?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 373*m - 3*n = -2235, -5*m - 124 + 93 = n for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -79?  (a) 2  (b) -1  (c) -5\/7  (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is -1238937\/5 at most as big as -247788?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) be the first derivative of -1\/2*c**2 + 1\/4*c**4 + 8 + 8*c + 1\/3*c**3. Calculate x(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:20 AM and 1:31 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = u**3 - 6*u**2 - 4*u + 7. Let m be i(7). Calculate the highest common divisor of 28 and m.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 11*w**2 + 1295*w + 7387. Give b(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29320*l = 31411*l + 60639 for l.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -26*n - 18. Let w be s(-8). What is the greatest common divisor of w and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 25 (base 16) to base 11.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*j = -4*y - 20*j + 12, -4*y + j + 6 = 0. Are 71\/138 and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 11, -0.2, 0, 3, -5, -2, 782 in decreasing order.\nAnswer: 782, 11, 3, 0, -0.2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Solve -2*l = 4*k - 12, 3*l + 20 + 17 = 5*k for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-72 + 26 + 38*h**2 - 36*h**2)*((-3*h - h + 0*h)*(0 + 0 - 2) - h - 1 + 1 + h - 4*h + h + (h - h - h)*(0 - 4 + 3)).\nAnswer: 12*h**3 - 276*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -550 + 538. What is the nearest to d in -0.1, -0.4, 2\/13?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/((-4)\/(-24)*-4)*2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 3 - 2)*(6*h**3 + 29*h**3 - 16*h**3).\nAnswer: 76*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.03114 rounded to one dp?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 753611 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7173 is divided by 1194?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -85650 divided by -14275.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 9, 66, 217, 510, 993?\nAnswer: 1714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-1 + 1 + 6)*(5*b**2 - 3*b**2 + 2*b**2) - 2*b**2 - 2*b**2 + 7*b**2)*(0 + 0 + b).\nAnswer: 27*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 3*g = -2. Suppose -3*q + g + 10 = 0. Suppose -d + 128 = -3*i, -q*d + 0*i + 427 = 5*i. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -w**3 - 29*w**2 - 201*w + 18. Determine y(-17).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*g - 222 = -147. Put g, -2, 401, 1 in descending order.\nAnswer: 401, g, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (150\/(-100))\/(33\/(-4)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5*14\/2625*-5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/(o*o\/o**(-3\/7))*o\/o**(1\/2)*o*o**(-9)*(o*o*o**(1\/13)\/o)\/o*o)**(-17) assuming o is positive.\nAnswer: o**(24293\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 4179, 16729, 37669, 66999, 104719, 150829, 205329?\n\"Answer: 4195*k**2 - 35*k + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(110) - (sqrt(110)*-2 + sqrt(110))*-2 - sqrt(110)*1*-2)\/((sqrt(10) + sqrt(60)\/(sqrt(12)\/sqrt(2)))*2) + -5)**2 + 3.\nAnswer: -5*sqrt(11)\/2 + 459\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 421, 342, 243, 124, -15, -174, -353?\n\"Answer: -10*t**2 - 49*t + 480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 2773.075 nanoseconds?\nAnswer: 0.000002773075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1849513879 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 221 or 218?\nAnswer: 221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - 5*g + 0 = -5, 10 = 2*g. What is the second derivative of k**5 + 4*k**j - 2*k + 0*k wrt k?\nAnswer: 100*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -55 + 52. Is (-6318)\/(-12) + a\/(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31 = -2*k - 5*g, -4*k - 2*g - 2 = -4*g. Let h(t) = t**2 + t - 1. Let s(w) = 3*w - 5 + 5*w**2 + 4 - 2. What is k*h(n) + s(n)?\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -10 + 12. Suppose 4 = f*r + 2. List the prime factors of 2*r + -7 + 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2391 divided by -797.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-15)\/(-10)*16\/(-6). Let a = -1 - w. What is p in 13*p**3 + p**a + 37*p - 18*p**2 - 33*p = 0?\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 116 + 38.907.\nAnswer: 154.907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -392 or -1180\/3?\nAnswer: -392","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from aallala. Give prob of sequence lla.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*y + 2*y**3 + 2*y + (-5*y + 3*y + 6*y)*(10*y**2 + 7*y**2 + y**2) + (1 - 1 - y)*(-y + y - y**2).\nAnswer: 75*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g + g - 24 = 0. Suppose 3*r - g*r + 46 = 3*h, r - 50 = -4*h. Solve 6*y - 2*y - h = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-39)\/(-18))\/((-4)\/8) - (-153)\/459.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - 51 = 3*k, 2*m - 4*k - 56 = -2*m. Solve 3 - m = 2*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 5, -5\/8, 45181?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 2, w: 1, i: 1, u: 1, k: 2, p: 1}. What is prob of sequence mkuw?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -6 - -10. Let t be (-20)\/50 - (-16)\/15. Which is the smallest value?  (a) p  (b) t  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4177*h**3 - 2*h**2 + 2 + 2*h**2 - 2 + 4175*h**3.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*s**2 + 2*s**3 - 3*s**2 + (6*s - 3*s - 4*s)*(s**2 - 3*s**2 + s**2) + 2 + s**2 - 2*s**2 + 4*s**3 + 0*s**2.\nAnswer: 7*s**3 - s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -4 - ((4 - 1) + (-64 - -2)). Suppose 12 = 4*n, -5*n + 0*n = 4*c - w. Solve -c = 5*l, t + 2*l + 8 = 1 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -180*-60\nAnswer: 10800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1.58000452 - -1.58. Round l to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4907969 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from llllxcllllllxxl. Give prob of picking 4 l.\nAnswer: 22\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 636717 to the power of 1\/4, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -78718664800 to the nearest 1000000.\nAnswer: -78719000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find t such that t**5\/8 + 7*t**4\/8 - 191*t**3\/8 + 273*t**2\/8 + 1323*t\/4 = 0.\nAnswer: -18, -3, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6 = 519*z - 514*z + 2*j, 9 = -2*z + 3*j for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12 = 2*j + 5*k - 11*k, 2*j = 3*k - 9 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u = -4*y + 2*y - 4890, -4875 = -5*u + 5*y. Calculate the greatest common factor of u and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -37\/5 + 36\/5. Which is the nearest to -3?  (a) w  (b) -0.3  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2\/15 + 290\/75*1. Suppose j*k - 2*s = -22, 4*k - 3*s = -6*s - 7. Let u = -4.6 - 0.4. Which is the biggest value?  (a) u  (b) k  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 122231 (base 6) to base 5.\nAnswer: 322031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 0  (b) 2  (c) -3\/7  (d) -405\/107  (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 843.\nAnswer: 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -189 - -191. Does 4 divide (-1 - 2) + u + 44 + 1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.4  (b) -1\/8  (c) 199995\/658\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2*(-2)\/(-28))\/((-140)\/(-490))*(-10296)\/(-117)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3 (base 13) to base 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t*t\/t**2*t**(-2\/45)\/t*t assuming t is positive.\nAnswer: t**(-2\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(55)\/((sqrt(5) - (sqrt(5) + sqrt(20)\/sqrt(4)))*4).\nAnswer: -sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + (sqrt(13) - (sqrt(39) + -1*sqrt(39))\/sqrt(3)))**2.\nAnswer: -10*sqrt(13) + 38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 10 + 142304?\nAnswer: 142314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 535, 1085, 1649, 2233, 2843, 3485?\nAnswer: 4165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*u + 486 + 162. Is 36 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -78, -2, -23.31, 4, -2\/7 in ascending order.\nAnswer: -78, -23.31, -2, -2\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 21783015.\nAnswer: 3, 5, 484067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert -100200220 (base 3) to base 9.\nAnswer: -10626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of i**3 - 1720*i**2 - 30043*i wrt i.\nAnswer: 6*i - 3440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 722, 719, 714, 707, 698?\n\"Answer: -s**2 + 723","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27*h - 364 = -29*h. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find w, given that -8*w**5 - 908*w**4 + 2364*w**3 + 5024*w**2 - 9328*w - 5568 = 0.\nAnswer: -116, -2, -1\/2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b + 16 = -0*b. Let s = 24 + b. Let g(n) = -n**3 - 7*n**2 - 5*n + 7. Let y be g(-6). Solve -y + s = -3*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1769?\nAnswer: 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 5304 + -95599\/18. Let w(v) = -4*v - 2. Let r be w(-2). Find the common denominator of 70\/228 + r\/9 and d.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21 = 2*c - 5*f, 2*c + 2*c + 5*f = 33. What is the second derivative of -14 - 32*h**3 - 17*h**3 + 13 - 2*h**c - h - h wrt h?\nAnswer: -294*h - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -26 at least 55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7*1\/7*874\/23?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32 + 22 = 18*r. Find the second derivative of 15*h + r*h - 2*h + 2 - 42*h**2 + 84*h**2 wrt h.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*t**2 + 25 - 2*t**2 - 25.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -2*f. Let j be k(5). Let q = -3 - j. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + 1 + -19 + -7 + 11 + -5?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z + 3*o - 8 = 0, 0 = o - 0 - 1. Which is the closest to z?  (a) -3\/8  (b) 1\/5  (c) 6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2, 30, 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9141385.\nAnswer: 5, 11, 166207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 399, 4, 0.1.\nAnswer: 0.1, 4, 399","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -5\/26472 and -1\/105888?\nAnswer: 105888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1380 and 1610?\nAnswer: 9660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1965464257 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1522721.\nAnswer: 293, 5197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = k**2 - 9*k - 16. Let j be o(11). Suppose -j*u + 4 = -2*u + 2*g, 5*u + 6 = 3*g. Solve 2*p + 0*p - 2 = u for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*d**2 - 1785 + 3*d**2 + 830 - 2*d**2 + 844 + 3*d**2.\nAnswer: 4*d**2 - 111","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 17 + 67. What are the prime factors of c?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-8)\/2816*22*-32\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*((sqrt(1300) - sqrt(1300)*-2*-2) + -5 + -1).\nAnswer: 18 + 90*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 56947, 56853, 56697, 56479, 56199?\nAnswer: 55857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 43 (base 6) in base 8?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 - ((-41)\/(-2))\/(-41)*(5 + 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -109*d*n**4 - 44*d*n**3 - 68681*d - n**2 wrt n.\nAnswer: -436*d*n**3 - 132*d*n**2 - 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0048233399 to six decimal places.\nAnswer: 0.004823","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 5*a**2 - 5*a**2 - 2*a + a**2. Let h be n(2). Solve -3*j = -h*j - 6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 30 - 7 = 0. Let a = 46 - n. Does 9 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 505 minutes after 7:43 AM?\nAnswer: 4:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -3 - (8 - (2 + -5)) - (2 + 3)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2113 (base 7) to base 15.\nAnswer: -34a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from zzvzvzzzzczzc?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 7302023917?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -369871 and -1.37?\nAnswer: 369869.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 62975.16 micrograms?\nAnswer: 62975160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -2 divided by 303\nAnswer: -2\/303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 334*z**2 - 179*z - 61*z**4 + 58*z**4 + 31 - 37 + 63*z**2 wrt z?\nAnswer: -36*z**2 + 794","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 27219674 and 609026?\nAnswer: 2914","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) be the first derivative of -i**9\/9072 + i**8\/5040 + i**7\/2520 - i**6\/1080 + i**3 + 2. Let o(h) be the third derivative of t(h). Factor o(w).\nAnswer: -w**2*(w - 1)**2*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -7916, -25880, -55822, -97742?\n\"Answer: -5989*v**2 + 3*v - 1930","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (123 - 63) + 33616\/(-560)\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -5  (b) -7\/15  (c) 55  (d) 2  (e) 0.4  (f) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express (-786*c + 715 - 715)*(1 - 2 + 2) in the form n + t*c and give t.\nAnswer: -786","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w - 8 = 4*t - 12, 1 = -4*t + w. Solve t = -5*l + 10 - 15 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 34\/(-4)*(-4 - -2). Let b = -8 + p. What is the first derivative of h**4 - 9*h + 1 + 1 + b*h wrt h?\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 60.1292 centimeters in meters?\nAnswer: 0.601292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 608729, 1217497, 1826295, 2435129, 3044005, 3652929, 4261907?\n\"Answer: y**3 + 9*y**2 + 608734*y - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2250865 is divided by 419.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 - ((-45 - -55) + (-2 - 9) - 10)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uunnunuuuuuuunuuunu. What is prob of picking 2 u?\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*k + 0*k - 2*l - 5 = 0, -k - 5*l + 22 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (143 - 4*p - 290 + 91)*(0*p**2 + p**4 + 0*p**2).\nAnswer: -4*p**5 - 56*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 141 a factor of 1239109826?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 10 = 3*p. Suppose p*r + 3 = 3*r. What is the third derivative of 2*f**3 + 2*f**2 - 4*f**3 + f**r wrt f?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3704455?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 110010100100100 - 1001011010010?\nAnswer: 101001001010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor 100*n**4\/7 + 746940*n**3 + 68344599181*n**2\/7 - 1952725242*n + 683456449\/7.\nAnswer: (n + 26143)**2*(10*n - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, -2\/55, 5, -4 in descending order.\nAnswer: 6, 5, -2\/55, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-1\/8)*w**0*w)**(-9\/5) assuming w is positive.\nAnswer: w**(-63\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange s**3 - 3*s**2 + 0*s + 109*s**4 - 2*s + 4*s**2 + 2 - 105*s**4 to the form j*s**3 + r*s + k*s**2 + o*s**4 + v and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*o + 2*o = -75 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ggi when three letters picked without replacement from {i: 9, g: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*x**2 - 2*x**2 - 3*x**2)*(-65 - 57 + 122 - 506*x).\nAnswer: 1012*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 16 - 7. Suppose 283 - 451 = -o + 3*m, -o - 3*m + 174 = 0. Calculate the greatest common divisor of o and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/((-4)\/7) + 16\/10 + (-1755)\/675?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 406 is divided by 60.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**(-14)\/(u\/(u\/(u*u*u**(-5\/2))))*(u\/(u*u\/u**3))\/u**(-2\/17) assuming u is positive.\nAnswer: u**(-387\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -110*z - 2367 + 4165 = 119*z + 16683 for z.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 294040 is divided by 49002?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) be the first derivative of -d**4\/4 - 2*d**3 + 9*d**2 + 10*d - 14. Let o be v(-8). Let f(b) = 5*b - 6. Let z(k) = 70*k - 85. What is o*z(c) + 85*f(c)?\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 e and 1 l when three letters picked without replacement from lellelllle.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = 18*i - 28. Let b(q) be the first derivative of q**2 + 429. Give b(m(t)).\nAnswer: 36*t - 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 495016 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = j - 2. Let y be 2*(44\/(-16) + j). Solve 0 + 1\/2*i**4 - y*i**3 + 1\/2*i - 1\/2*i**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 166, -5 in decreasing order.\nAnswer: 166, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 10061 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 141 minutes before 9:52 PM?\nAnswer: 7:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -c**2 - 30*c - 65. Determine j(-28).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -1.6 times -0.87094\nAnswer: 1.393504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14105 is divided by 48.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -90 - -110. What is the units digit of (1205\/w)\/((-3)\/(-12))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y**2\/3 - 40060*y\/3 + 3170981\/3 = 0. What is y?\nAnswer: -40139, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 72, 79, 82, 75, 52, 7, -66?\nAnswer: -173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2 + 12\/(-7) - (-132)\/28. Find the second derivative of -16*p**5 + 5*p**5 + 5*p + 7*p**f wrt p.\nAnswer: -80*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = 2*x + 16. Let v be w(0). Let a = 642 + -640. Let k = -1 - -3. Solve v = -a*n - k*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-3 + 2)\/(-27)*6. Factor -2\/9*j**4 - x*j + 2\/9*j**2 + 0 + 2\/9*j**3.\nAnswer: -2*j*(j - 1)**2*(j + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qggxqgxqqgxxxxqqgxqx. What is prob of sequence xx?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 30236?\nAnswer: 2, 7559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 34341949981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 9070893 and 1118?\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 59125541.\nAnswer: 17, 3477973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 196011936361 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 744.2 + -744.3. Which is the closest to 0?  (a) f  (b) -94  (c) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -37, -75, -117, -163, -213?\nAnswer: -267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 3 + 1 + 4*j - 5. Let y be 375\/10*(-4)\/(-6). Let u = y + -27. Determine s(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (426\/4)\/((-19)\/(5016\/16)). Let k = 1738 + t. Find the common denominator of 179\/60 and k.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2559, -5052, -7545, -10038, -12531?\nAnswer: -15024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = 21*j - 95. Let w(u) = -u**3 + 2*u**2 + 2*u + 2. Calculate the lowest common multiple of w(-2) and i(5).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8.6 + -162.767.\nAnswer: -171.367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:16 PM and 11:46 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 181\/426 + 16\/213. Let 0 - 1\/2*l**2 + 0*l - t*l**3 = 0. Calculate l.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 43991839 is divided by 11231.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.25?  (a) -1  (b) -32  (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u + 11 = -2*u - 3*g, 2*u + 18 = -2*g. Let d = -346301\/52 - -6661. Find the common denominator of d and 130\/4 + (-12)\/u.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(4455) + sqrt(55) + sqrt(55))\/((sqrt(180)\/sqrt(3))\/sqrt(12)).\nAnswer: -7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -93908 plus 4?\nAnswer: -93904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-50)\/(-4))\/((-7)\/(-28)). Let h = k - -17. Suppose h = d - 142. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 67 + -109. Find the common denominator of g and -10\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3\/19?  (a) 3080  (b) 0.5  (c) -5  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 6788100 and 4?\nAnswer: 6788100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 450504 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -133 = y - 3*r, 0 = -r + 2*r. Which is smaller: y or -132?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/5 in -0.2, 1\/2, -3, -0.5, -823\/21, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) -22  (b) 25\/3  (c) -0.5  (d) -0.074\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = f - 4*q + 30, -3*f - 111 = 2*q - 21. Is -88\/3 less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 0*r - 25 = -r, 0 = 3*a - 2*r + 40. What is the second biggest value in -1\/3, -5, a?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 44 and 1661.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 72560.74 millilitres in litres?\nAnswer: 72.56074","meta":{"dup_signals":{},"source":"measurement__conversion_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: Three letters picked without replacement from hhrdddrdara. Give prob of picking 1 a and 2 r.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 102\/25 + (-68)\/850. Let j = 2 - 0. Calculate the greatest common divisor of n and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 1, 0, 3, -2\/11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 279 + -119. What is the greatest common factor of 48 and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 556\/104 + -5 - (-2)\/(-4). Which is the third smallest value?  (a) p  (b) -3  (c) -2\/3  (d) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 15541*p + 528397. Let l be b(-34). Factor -2\/21*v**l - 2\/7*v - 10\/21*v**2 + 6\/7.\nAnswer: -2*(v - 1)*(v + 3)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*z + 3 = -f, 4*f + 30 = 630*z - 632*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = 3223*j**3 - 4*j**2 + 4*j. Let x(h) = 19340*h**3 - 25*h**2 + 25*h. Give 25*q(t) - 4*x(t).\nAnswer: 3215*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1476 and 6282?\nAnswer: 515124","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Is -107 greater than 1098553\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*l + 3*l + 3*u + 57136, 3*u = -12. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/20, 7\/8, 2, -11, -2\/5, -978 in decreasing order.\nAnswer: 2, 7\/8, 3\/20, -2\/5, -11, -978","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3445 and 255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 7776\/66 + (-2)\/(-11). Let n = r - 83. Let j = n - -19. Is 27 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/18*1)\/((-2)\/12).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3912.407 + -3945.2. Round h to 0 dps.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 448 minutes after 9:07 PM?\nAnswer: 4:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: ((36\/(-9))\/8)\/(4\/(-16))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 159 + 209 = 4*r. Let c = 51 + r. Suppose -3*l - c = -392. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c = 2*n + 7*c + 17, 3*n + 5*c + 13 = 0. Suppose -3*u = -m + 616, -m + n*u + 769 = 158. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -204117\/25 - -8163. Find the common denominator of 17\/9 and k.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 2, m: 1, u: 1, c: 2, d: 1}. Give prob of picking 1 z, 1 d, and 1 m.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve w + 2*t = -2, 5*w - 4*t + 7 = 25 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 - ((-5 - -10) + 4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/(-14) + (-3 - (-621)\/63)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1746720683 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*u + 28 = 3*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -r**2\/2 + 1033352*r + 14467026.\nAnswer: -(r - 2066718)*(r + 14)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}